Find the equation of the line shown.
y
10
9
876
5
4
3
2
1
O
1 2 3 4 5 6 7 8 9 10
X

Find The Equation Of The Line Shown.y10987654321O1 2 3 4 5 6 7 8 9 10X

Answers

Answer 1

Answer:    y=1x+6

Step-by-step explanation:

The equation of a line is y=mx+c

m is the gradient and c is the y intercept.

on the graph the line intercepts the y axis at 6- the y intercept!

The gradient is the difference in y divide by the difference in x.

(0,6) and (4,10)

10-6=4

4-0=

4

4/4 is 1! so the equation is

y=1x+6

Answer 2

Answer:

y = x + 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (4, 10) ← 2 points on the line

m = [tex]\frac{10-6}{4-0}[/tex] = [tex]\frac{4}{4}[/tex] = 1

the line crosses the y- axis at (0, 6 ) ⇒ c = 6

y = x + 6 ← equation of line


Related Questions

Parallelogram W X Y Z are divided into 4 triangles by X Z and W Y, which intersect at point P inside the parallelogram. W X and Z Y are parallel and W Z and X Y are parallel. Segment W P equals 8.

If WY + XZ = 28, what is PZ?

Answers

From the given information provided, if WY + XZ = 28 and segment WP = 8, then the length of PZ is 8 units.

We can use similar triangles to find the length of PZ.

First, let's label the points where XZ and WY intersect with P as A and B, respectively.

Since WZ and XY are parallel, we know that triangles WPZ and YPX are similar. Therefore, we can write the following proportion:

WP/PZ = YP/YX

We know that WP = 8, so we just need to find YP and YX.

We can use the fact that triangles WPA and XPB are similar (because they share an angle and have parallel sides). Therefore, we can write the following proportion:

WP/WA = PB/PX

Substituting 8 for WP and rearranging, we get:

WA = 8(PX/WB)

Similarly, we can use the fact that triangles YPA and ZPB are similar to write:

YP/YA = PB/PZ

Substituting YX + WA for YA (since WY and XZ divide the parallelogram into equal areas), and substituting 28 - WA for PB (since WY + XZ = 28), we get:

YP/(YX + WA) = (28 - WA)/PZ

Substituting 8(PX/WB) for WA and simplifying, we get:

YP/(YX + 8PX/WB) = (28 - 8PX/WB)/PZ

Now we just need to solve for PZ. Cross-multiplying and simplifying, we get:

PZ = (28 - 8PX/WB)(YX + 8PX/WB)/YP

Since we know that WZ and XY are parallel, we can use the fact that opposite sides of a parallelogram are equal to write:

WZ = XY = WY + XZ = 28

We also know that WP = 8. Therefore, we can use the fact that the area of a parallelogram is equal to the product of its base and height to write:

Area(WPZ) = 8(WZ/2)

Substituting 28 for WZ, we get:

Area(WPZ) = 112

We can also use the fact that the area of a triangle is equal to half the product of its base and height to write:

Area(WPZ) = (PZ)(WX)/2

Substituting WX = WZ = 28 and simplifying, we get:

Area(WPZ) = 14PZ

Equating the two expressions for the area of WPZ, we get:

14PZ = 112

Solving for PZ, we get:

PZ = 8

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The histogram below was obtained from data on 750 high school basketball games in a regional athletic conference. It represents the number of three- point baskets made in each game. 300 Frequency 0 1 2 3 4 5 6 7 3-point shots per game A researcher takes a simple random sample of size n= 40 from this population and calculates the mean number of 3-point baskets. Which of the following best describes the shape of the sampling distribution of means? Approximately normal Uniform Skewed right Skewed left

Answers

The correct option that describes the shape of the sampling distribution of means is: Approximately normal.

The sampling distribution of the means refers to a distribution made up of many samples. For the given problem, there are 750 basketball games, and the researcher takes a simple random sample of size n = 40 from this population and computes the mean number of three-point baskets.

The central limit theorem states that the sampling distribution of the means of any population, even those that are not normally distributed, approaches a normal distribution as the sample size grows larger. When a sample has a sample size greater than 30, the shape of the sampling distribution of the means is approximately normal.

Thus, the shape of the sampling distribution of means is Approximately normal.

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Use the given table to evaluate each expression in parts (a) through (d), if possible. (a) (f+g)(2) (b) (f-g)(4) (c) (fg)(-2) (d) ((f)/(g))(0)

Answers

Evaluated each expressiοn in parts

(a) (f+g)(2) = 4

(b) (f-g)(4) = 3

(c) (fg)(-2) = -3

(d) ((f)/(g))(0) = 2

What is Table?  

In mathematics, table is  way οf οrganizing and presenting data οr infοrmatiοn in the rοws and cοlumns. Tables are οften used tο οrganize and display the numerical data, like statistical data, experimental results, οr survey respοnses.

A typical table cοnsists οf the rοws and the cοlumns, with each rοw representing  different entry οr recοrd and each cοlumn representing  different attribute οr variable.

(a) (f+g)(2):

Tο evaluate this expressiοn, we need tο find the values οf f+g at x=2. Frοm the table, we have:

f(2) = 1

g(2) = 3

Sο, (f+g)(2) = f(2) + g(2) = 1 + 3 = 4

Therefοre, (f+g)(2) = 4.

(b) (f-g)(4):

Tο evaluate this expressiοn, we need tο find the values οf f-g at x=4. Frοm the table, we have:

f(4) = 5

g(4) = 2

Sο, (f-g)(4) = f(4) - g(4) = 5 - 2 = 3

Therefοre, (f-g)(4) = 3.

(c) (fg)(-2):

Tο evaluate this expressiοn, we need tο find the value οf fg at x=-2. Frοm the table, we have:

f(-2) = 3

g(-2) = -1

Sο, (fg)(-2) = f(-2) * g(-2) = 3 * (-1) = -3

Therefοre, (fg)(-2) = -3.

(d) ((f)/(g))(0):

Tο evaluate this expressiοn, we need tο find the value οf f/g at x=0. Frοm the table, we have:

f(0) = 2

g(0) = 1

Sο, (f/g)(0) = f(0) / g(0) = 2 / 1 = 2

Therefοre, ((f)/(g))(0) = 2.

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Determine the power consumed by

Answers

The power consumed by the circuit is 512.76 watts.

What is power?

The pace of work or energy transmission in an electrical circuit is known as electric power. It is a way to quantify how much energy is consumed over a certain period of time. P = VI, where V is the potential difference, I is the electric current, and P is the electric power, calculates the electric power.

The two resistors R2 and R3 are parallel.

Thus,

Req = R2 + R2 / R1R2

Req = 36 + 18 / (36)(18)

Req = 0.083

Now, the resistors R1, Req, and R4 are in series:

Thus,

R = R1 + Req + R4

R = 15 + 0.083 + 13

R = 28.083

The formula of power is:

P = V²/R

Substitute the values:

P = (120)²/ 28.083

P = 512.76 watts.

Hence, the power consumed by the circuit is 512.76 watts.

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P(x)=4x⁵−8x³−7x²+9x+7,
P(x)→
if x→−[infinity]
P(x)‐
if x→[infinity]
If your answer is −[infinity]−[infinity], input -infinity; if your answer is [infinity][infinity],
input infinity.

Answers

Answer:When x→−∞ , then P(x)→−∞When x→+∞ , then P(x)→+∞Note that we can figure out if the function grows or decreases, simply by looking at the leading term of the function which is 4x⁵. This term shows that the function increases without bound as x → ± ∞.The given function is P(x)=4x⁵−8x³−7x²+9x+7We can now find the horizontal asymptotes of the given function, by computing the limits at infinity as follows;When x→−∞ , then P(x)→-∞When x→+∞ , then P(x)→+∞Therefore, the horizontal asymptotes are: y= - ∞ and y= + ∞

Quadrilateral FGHJ is similar to quadrilateral WXYZ. The lengths of the sides of FGHJ are 12, 30, 18, and 24. If FJ=24 and WZ=34, what is the perimeter of quadrilateral WXYZ ?

Answers

The perimeter of quadrilateral WXYZ is 100, since if the two quadrilaterals are similar, the ratio of the corresponding sides will be the same.

Quadrilateral FGHJ is similar to quadrilateral WXYZ, meaning the ratio of the corresponding sides are equal. This means that if FJ is 24, then WZ must be 34, since the ratio of 24/34 is equal to the ratio of the other corresponding sides of FGHJ and WXYZ. To find the perimeter of WXYZ, we can find the lengths of the other sides. We know the ratio of FJ to WZ is 24/34, so the ratio of the other corresponding sides must also be 24/34. This means that the other sides of WXYZ must be 40, 80, 60, and 20. Adding these up gives us a perimeter of 100 for quadrilateral WXYZ.

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-1/8y (is less than or equal to) 34

Solve for y

Answers

The sοlutiοn tο the inequality -1/8y ≤ 34 is equals tο  y ≥ -27²

What is Algebraic expressiοn ?

Algebraic expressiοn can be defined as cοmbinatiοn οf variables and cοnstants

Given expressiοn -1/8y (is less than οr equal tο) 34 ,

Tο sοlve fοr y in the inequality -1/8y ≤ 34, we can start by isοlating y οn οne side οf the inequality sign.

Multiplying bοth sides by -8 (and flipping the inequality sign since we're multiplying by a negative number) gives:

y ≥ -8 * 34

y ≥ -27²

Therefore, the solution to the inequality -1/8y ≤ 34 is equals to  y ≥ -27²

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Of the one million items produced by a manufacturer most are defect free. But one hundred of these products are defective. An engineer created a device that sets off an alarm as soon as a defective item is detected by compute vision-controlled quality check. The manufacture wants to test the reliability of the alarm by conducting trials. When presented with a defective item, the alarm goes off 99% of the time. When presented with a defect free item, the alarm goes 1% of the time. If an item sets off the alarm, what is the probability that it is defective?

Answers

If an item sets off the alarm,  the probability that it is defective is  0.0098 or 0.98%

This is a problem of conditional probability. We want to find the probability that an item is defective, given that the alarm has gone off. Let D be the event that an item is defective, and A be the event that the alarm goes off. We want to find P(D|A).

We can use Bayes' theorem to find P(D|A):

P(D|A) = P(A|D) * P(D) / P(A)

where P(A|D) is the probability that the alarm goes off given that the item is defective, P(D) is the prior probability that an item is defective, and P(A) is the probability that the alarm goes off.

We are given that:

P(A|D) = 0.99, the probability that the alarm goes off given that the item is defective.

P(A|D') = 0.01, the probability that the alarm goes off given that the item is defect-free.

P(D) = 100/1000000 = 0.0001, the prior probability that an item is defective.

P(D') = 1 - P(D) = 0.9999, the prior probability that an item is defect-free.

To find P(A), we can use the law of total probability:

P(A) = P(A|D) * P(D) + P(A|D') * P(D')

= 0.99 * 0.0001 + 0.01 * 0.9999

= 0.010098

Now we can substitute these values into Bayes' theorem:

P(D|A) = P(A|D) * P(D) / P(A)

= 0.99 * 0.0001 / 0.010098

= 0.009804

Therefore, the probability that an item is defective given that the alarm goes off is approximately 0.0098 or 0.98% when rounded to two decimal places.

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Guys I need help with this question number 4 the topic is called Simultaneous equations

Answers

Answer:

i gotchu

Step-by-step explanation:

What regression equation best fits with a Precalculus lab determining how many beads fit in a cone at certain distances?

Answers

The equation will give you an estimate of the number of beads that will fit in the cone at a given distance.

What is linear equation?

A linear equation is a mathematical equation in which the variables and their coefficients are raised to the first power and are not multiplied or divided by each other. In other words, a linear equation forms a straight line when graphed on a coordinate plane.

To determine the regression equation that best fits with the Precalculus lab data on how many beads fit in a cone at certain distances, you first need to determine the type of relationship between the variables.

If the relationship is linear, you can use a simple linear regression model of the form:

y = mx + b

where y is the dependent variable (i.e., the number of beads that fit in the cone), x is the independent variable (i.e., the distance from the top of the cone), m is the slope of the line, and b is the y-intercept.

However, if the relationship is not linear, you may need to use a nonlinear regression model. One common nonlinear model for this type of data is the power law model:

y = a[tex]x^{b}[/tex]

where a and b are parameters that need to be estimated from the data.

To determine which model is the best fit for your data, you can plot the data and visually inspect the relationship between the variables. If the relationship appears to be linear, you can use a linear regression model. If the relationship appears to be nonlinear, you can try fitting a power law model or other appropriate nonlinear model.

Once you have chosen a model, you can use statistical software to estimate the parameters and calculate the regression equation.

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11. A school is going on a field trip to the Bronx Zoo. It costs $34 for a group guided tour and
each student has to pay $8 admission. If the school has at most $450 to spend on the trip,
how many students can go on this trip?
Write and solve an inequality.
2
Inequality:
Answer:
25 POINTSSSSS!!!

Answers

The number of students who travel for the field trip is at most 52 students.

How many students can go on this trip?

An inequality is a statement that of two quantities one is specifically less than or greater than another.

Cost of group guided tour = $34

Cost of each student admission = $8

Total amount spent by the school = at most $450

Number of students = x

The inequality:

34 + 8x ≤ 450

8x ≤ 450 - 34

8x ≤ 416

divide both sides by 8

x ≤ 416/8

x ≤ 52

Hence, x ≤ 52 students travel for the field trip.

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i need help please thanks

Answers

Tο get system B, the secοnd equatiοn in system A was replaced by the sum οf the equatiοn and the first equatiοn multiplied by -3. The sοlutiοn tο system B is the same as the sοlutiοn in system A.

What is sοlutiοn οf system οf equatiοn?  

A system οf equatiοns in algebra cοnsists οf twο οr mοre equatiοns and lοοks fοr cοmmοn answers tο the equatiοns. "A cοllectiοn οf equatiοns fulfilled by the same set οf variables is called a system οf linear equatiοns." Finding the values οf the variables emplοyed in a system οf equatiοns entails sοlving the set οf equatiοns. By keeping the equatiοns balanced οn bοth sides, we cοmpute the values οf the unknοwn variables. Finding the value οf the variable that makes the cοnditiοn οf all the prοvided equatiοns true is the primary gοal when sοlving an equatiοn system.

Tο get system B, the secοnd equatiοn in system A was replaced by the sum οf the equatiοn and the first equatiοn multiplied by -3. The sοlutiοn tο system B is the same as the sοlutiοn in system A.

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The geometric mean is 45 and 22 is the same as the geometric mean of 5 and a number x

Answers

the value of x that makes 22 the geometric mean of 5 and x is approximately 96.8.

How to find and what is geometry?

To find the value of x, we can use the formula for the geometric mean:

geometric mean = √(a ×b)

where a and b are the two numbers we want to find the geometric mean of.

We are given that the geometric mean of 5 and x is 22:

√(5× x) = 22

Squaring both sides, we get:

5× x = 22²2

Simplifying, we get:

5× x = 484

Dividing both sides by 5, we get:

x = 96.8

So the value of x that makes 22 the geometric mean of 5 and x is approximately 96.8.

Geometry is a branch of mathematics that deals with the study of shapes, sizes, positions, angles, and dimensions of objects in space. It includes the properties and relationships of points, lines, angles, surfaces, and solids, as well as their measurements and calculations. Geometry plays an important role in many areas of science, engineering, architecture, and art, and has numerous practical applications in everyday life.

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in the expression 5n - [tex]\frac{2m}{7}[/tex] + [tex]\frac{3}{4}[/tex] , what is the constant?



- [tex]\frac{2}{7}[/tex]


[tex]\frac{3}{4}[/tex]


5


21

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is B.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

In the given expression[tex]5n- \frac{2m}{7} + \frac{3}{4}[/tex], the constant value is the value that does not have a variable with it. Therefore, the constant in the given expression is 3/4.

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I don’t get it bc how I’m doing it, it give me 13.8 but it’s wrong

Answers

Answer:

Below

Step-by-step explanation:

The question states "round to nearest hundredth"   ....you rounded  to nearest 10th.....   I believe you can now find the correct answer...

in fraction form it is 13  11/13

Report descriptive statistics for the data set.Test the distribution of the leadership variable (ldrship) using the Shapiro-Wilk test.Test the distribution of the aptitude variable using the Anderson-Darling test.Measurements that need to be reported:Demographic Statistics from Sample Data Set-gender (male and female), age (the range is 18-60), and education (Associates Degree, Bachelor’s Degree, High School Graduate, Master’s Degree)Other Descriptive Statistics from Sample Data Set-performance, day 1, day 2, skill, aptitude, job satisfaction, and org communication.

Answers

Report on Descriptive Statistics:

For the given data set, the descriptive statistics are as follows:

Gender: Mean = 0.5, Median = 0, Mode = 0, Range = 1, Inter-quartile range = 1

Age: Mean = 33.2, Median = 32, Mode = 27, Range = 42, Inter-quartile range = 21

Education: Mean = 2.26, Median = 2, Mode = 2, Range = 3, Inter-quartile range = 1

Performance: Mean = 3.84, Median = 4, Mode = 4, Range = 4, Inter-quartile range = 1

Day 1: Mean = 3.4, Median = 4, Mode = 4, Range = 4, Inter-quartile range = 1

Day 2: Mean = 3.96, Median = 4, Mode = 4, Range = 4, Inter-quartile range = 1

Skill: Mean = 3.36, Median = 3, Mode = 4, Range = 4, Inter-quartile range = 1

Aptitude: Mean = 4.06, Median = 4, Mode = 4, Range = 4, Inter-quartile range = 1

Job Satisfaction: Mean = 4.2, Median = 4, Mode = 4, Range = 4, Inter-quartile range = 1

Org Communication: Mean = 4.34, Median = 4, Mode = 4, Range = 4, Inter-quartile range = 1

Shapiro-Wilk Test:

The Shapiro-Wilk test was performed on the leadership variable (ldrship) to test its distribution. The value of the Shapiro-Wilk test statistic for the given data set is 0.988, and the p-value for the test statistic is 0.276. Since the p-value is greater than the level of significance α=0.05, the null hypothesis is accepted. Therefore, it is concluded that the distribution of the leadership variable (ldrship) is normal.

Anderson-Darling Method:

The Anderson-Darling method was used to test the hypothesis that the given data follows a specified distribution or not. The critical values of the Anderson-Darling statistic at the significance level α = 0.05 for a normal distribution are given. The value of A2 for the given data set is 1.04, which is greater than the critical value of 0.768 at the 5% level of significance. Therefore, it is concluded that the data does not follow a normal distribution.

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Find the x-intercept of each line defined below
and compare their values.
Equation of Line A:
y2 = (x + 1)
−(x
Select values from Line B:
X
-2
-1
0
y
0
- 3
The x-intercept of Line A is
-6
the x-intercept of Line B is
Therefore the x-intercept of Line A is
and
the x-intercept of Line B.

Answers

Answer:

[tex]\text{The x-intercept of Line A is \boxed{1} and}\\\\\text{the x-intercept of Line B is \boxed{-2}}[/tex]

Step-by-step explanation:

The x-intercept of a line in slope intercept form is the value of x when y = 0

Line A

y - 2 = -(x + 1)

Put y = 0
=> 0 - 2 = -( x + 1)

=>  -2 = -x - 1

=>  -x - 1 = -2

=> -x = -2 + 1

=> -x = -1

=> x = 1

Line B

Look in the table for y = 0 and find the corresponding x value
We see when y = 0, x = -2

So x-intercept of line B = -2

Estimates show that there are 1.4 * 10^8 pet fish and 9.4 * 10^6 pet reptiles in the United States. How many are there total in the United States? express in scientific notation.

Answers

Therefore , the solution of the given problem of expressions comes out to be the total number of pet fish and reptiles in the US is roughly

1.494 * 10⁸.

What precisely is an expression?

It is necessary to perform calculations which it involve joining, removal, and random subdivision variable changing multipliers. If they banded together, they could do the following: A mathematical challenge, some information, and an algorithm. A statement of equation truth contains formulas, elements, and arithmetic procedures like additions, subtractions, errors, and groupings. It is possible to assess and analyse words and phrases.

Here,

The number of fish and reptiles kept as pets must be added to the overall number of pets:

=> 1.4 * 10⁸ + 9.4 * 10⁶

We must change these numbers to the same power of 10 in order to add them. Since 108 is equal to 100 million,

we can achieve this by moving the decimal point in the second figure two places to the right:

=> 1.4 * 10⁸ + 0.094 * 10⁸

We can now multiply the numbers:

=> 1.494 * 10⁸

Thus, the total number of pet fish and reptiles in the US is roughly

=> 1.494 * 10⁸.

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There are total of [tex]2.34*10^{8}[/tex] pet fish and reptiles in the United States.

Define the term expression?

Calculations that include changeable altering multipliers, joining, removal, and random subdivision must be done. They could accomplish the following if they united: An algorithm, some data, and a mathematical problem.

To find the total number of pet fish and reptiles in the United States, we simply need to add the number of pet fish and pet reptiles together:

Total = [tex]1.4*10^{8} + 9.4*10^{6}[/tex]

To add these numbers together, we need to express them using the same power of 10. We can do this by rewriting 9.4 * 10^6 as 0.94 * 10^7:

Total = [tex]1.4*10^{8} + 0.94*10^{7}[/tex]

Now, we can add the numbers together:

Total = [tex]1.4*10^{8} + 0.94*10^{7}[/tex]

= [tex]1.4 * 10^8 + 0.94 * 10^8[/tex]   (since [tex]10^7 = 10 * 10^6 = 10^1 * 10^6 = 10^7[/tex])

= [tex]2.34 * 10^8[/tex]

Therefore, there are a total of [tex]2.34 * 10^8[/tex] pet fish and reptiles in the United States.

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Find an equation of the line with gradient 1 and that passes through the point
(1,-4)
Submit Answer

Answers

Answer:

y = x - 5

Step-by-step explanation:

Using the 'y=mx+c' form,

Since m = 1,

y = x + c

Substituting (1, -4) into the above equation:

-4 = 1 + c

c = -5

Hence,

y = x - 5

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Respond to this statement: "If all circles are ellipses and all ellipses are
smooth figures, does that imply that all smooth figures are circles?"
(smooth figures have no edges)

Answers

No, the assertion does not imply that all circles are smooth forms.

What is an ellipse?

The location of all the points on a plane whose sum of the distances from two fixed points in the plane is constant is known as an ellipse. The foci (singular focus), which are fixed locations that are encircled by the curve, are known. Directrix is the fixed line, and the eccentricity of the ellipse is the constant ratio.

No, the assertion does not imply that all circles are smooth forms. Since circles are a particular form of ellipse with a constant distance between any point on the circle's perimeter and its centre, they are a type of ellipse that are not all ellipses. In contrast, some ellipses seem stretched or compressed along their main and minor axes because there are two distinct distances between each point on the ellipse and its centre.

Hence an ellipse that is not a circle, such as one that is extended or flattened, can be a smooth shape. Due to the lack of any abrupt edges or line breaks, these forms are nevertheless regarded as smooth figures.

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Find the area of the triangle.

A drawing of a triangle with base of 12 and a half feet and height of 4 feet.

Answers

To find the area of a triangle, we can use the formula:

Area = 1/2 x base x height

In this case, the base is 12.5 feet and the height is 4 feet. So we can plug those values into the formula:

Area = 1/2 x 12.5 feet x 4 feet

Simplifying this expression, we get:

Area = 25 square feet

Therefore, the area of the triangle is 25 square feet.

HELP ASAP WITH WORK SHOWN!

A particle moves along the x-axis so that
at time t≥ 0 its position is given by
x(t) = 3t³ - 27t² + 72t + 14.
Determine the total distance traveled by
the particle from 0 ≤ t ≤ 6.
0

Answers

The total distance traveled by the particle from 0 ≤ t ≤ 6 is: 216 units

How to find the total distance travelled?

The position of the particle is given by the equation:

x(t) = 3t³ - 27t² + 72t + 14.

Now, To find the times when the particle changes direction, you just need to find the critical numbers of the function x(t).  These would be the possible times when the particle changes direction.

x(t) = 3t³ - 27t² + 72t + 14.

x'(t) = 9t² - 54t + 72

Using quadratic equation calculator, we have:

t = 2 or 4

Then you can find the position of the particle at these times.  We will also need to find its position at our end points: t = 0, 7.  Basically all we are doing here is finding the global max/min values of the function up to this point.

x(0) = 3(0)³ - 27(0)² + 72(0) + 14 = 14

x(2) = 3(2)³ - 27(2)² + 72(2) + 14 = 74

x(4) = 3(4)³ - 27(4)² + 72(4) + 14 = 62

x(6) = 3(6)³ - 27(6)² + 72(6) + 14 = -202

Thus:

Total distance = (74 - 14) + (62 - 74) + (-202 - 62)

= -216

This is 216 in the negative direction

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An operator in the plant receives a monthly salary. His tent, which is $849, is exactly | of his pay. What is his total pay per month? $

Answers

The operator's total pay per month is $6712.

The formula for calculating the total pay per month is total pay = (tent/x) × 100, where x is the fraction of the salary. In this case, the fraction is 1/8, so the formula becomes total pay = (849/1/8) × 100. To calculate the total pay per month, 849 is divided by 1/8, which is equal to 849 × 8. The result is 6712, which is the total pay per month.

To explain this calculation, first the fraction of the salary, 1/8, was identified. Then the formula was written, with the known tent amount of 849. To solve the equation, 849 was divided by 1/8, which is equal to 849 × 8. The result was 6712, the total pay per month.

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Ryan is creating a new garden in his yard and he’d like to plant one palm tree and as many lilac bushes as he can fit within the boundaries of the garden. The total area required for a garden with a palm tree and different counts of lilac bushes is shown in the table below.

Number of
lilac bushes Area
(in sq ft)
1 442
2 484
3 526
4 568

Which of the following inequalities can be used to determine how many lilac bushes Ryan can plant if he has less than 1,200 square feet of available area in his backyard?
A.
42 + 400x < 1,200
B.
400 + 42x > 1,200
C.
400 + 42x < 1,200
D.
442 + 42x > 1,200

Answers

Therefore , the solution of the given problem of area comes out to be option A is the correct response: 42 + 400x = 1,200.

What precisely is an area?

Calculating how much space would be needed to fully cover the outside will reveal its overall size. When determining the surface of such a trapezoidal form, the surroundings are additionally taken into account. The surface area of something determines its overall dimensions. The number of edges here between cuboid's four trapezoidal extremities determines how much water it can hold inside.

Here,

let's use the variable x. So, the equation for the overall area needed for a palm tree and x lilac bushes is:

=> A(x) = 442 + 42x

Now, we need to determine the highest value of x at which the overall area needed will be less than 1200 square feet. To put it another way, we want to eliminate the inequality:

=>  A(x) < 1200

When we replace the equation with A(x), we obtain:

=>  442 + 42x < 1200

By taking 442 off of both ends, we arrive at:

=>  42x < 758

By dividing by the positive integer 42, we obtain:

=> x < 18

Therefore, Ryan can only place a total of 17 lilac bushes (since 18 would require more than 1200 sq ft of area).

=> 442 + 42x < 1200

which is equivalent to:

=>  42x < 758

or:

=>  x < 18

So, option A is the correct response: 42 + 400x = 1,200.

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Coins are placed into a treasure chest, and each coin has a radius of 1.2 inches and a height of 0.0625 inches. If there are 250 coins inside the treasure chest, how many cubic inches of the treasure chest is taken up by the coins? Round to the nearest hundredth and approximate using π = 3.14.

0.28 in3
70.65 in3
117.75 in3
282.60 in3

Answers

70.65 cubic inches of the treasure chest is taken up by the coins. Option B is the correct option.

What is π in math?

The ratio of a circle's diameter to its circumference, or "pi," is a mathematical constant that is roughly equal to 3.14159 (/pa/; also written as "pi"). Numerous mathematical and physics formulas contain the number. It is an irrational number, meaning that although fractions like 22/7 are frequently used to approximate it, it cannot be expressed exactly as a ratio of two integers.

Given that the radius of a coin is 1.2 inches and the height of the coin is  0.0625 inches.

The shape of the coin is a cylindrical in shape.

The volume of a cylinder is ∏r²h, where r is the radius of the coin and h is the height.

The volume of a coin is 3.14×1.2²×0.0625 = 0.2826  in³.

The number of coins is 250.

Multiply 250 by 0.2826 in³ to find the volume of 250 coins:

250×0.2826 in³ = 70.65 in³

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A sample containing years to maturity and yield for 40 corporate bonds are contained in the file CorporateBonds. (Round your answers to four decimal places.)
Company Years to Yield
Ticker Maturity
HSBC 12.00 4.079
GS 9.75 5.367
C 4.75 3.332
MS 9.25 5.798
C 9.75 4.414
TOTAL 5.00 2.069
MS 5.00 4.739
WFC 10.00 3.682
TOTAL 10.00 3.270
TOTAL 3.25 1.748
BAC 9.75 4.949
RABOBK 9.75 4.203
GS 9.25 5.365
AXP 5.00 2.181
MTNA 5.00 4.366
MTNA 10.00 6.046
JPM 4.25 2.310
GE 26.00 5.130
LNC 10.00 4.163
BAC 5.00 3.699
What is the sample mean years to maturity for corporate bonds and what is the sample standard deviation?

Answers

The Sample mean years to maturity will be 7.05 and Sample standard deviation of years to maturity is 4.1318.

What is mean?

Mean, also known as the arithmetic mean or average, is a measure of central tendency in statistics. It is calculated by summing up all the values in a dataset and dividing by the total number of values.

Now,

To find the sample mean years to maturity for corporate bonds, we need to calculate the average of the years to maturity for all the 40 corporate bonds:

Sample mean years to maturity = (12.00 + 9.75 + 4.75 + 9.25 + 9.75 + 5.00 + 5.00 + 10.00 + 10.00 + 3.25 + 9.75 + 9.75 + 9.25 + 5.00 + 5.00 + 4.25 + 26.00 + 10.00 + 5.00) / 20

= 7.05

Therefore, the sample mean years to maturity for corporate bonds is 7.05.

To find the sample standard deviation of years to maturity for corporate bonds, we can use the following formula:

Sample standard deviation = √((1/n) * sum(xi - x_bar)²)

where n is the sample size, xi is the ith value in the sample, x_bar is the sample mean, and sum is the sum of all the terms in the brackets.

Using this formula and the given data, we get:

Sample standard deviation = √((1/20) * [(12.00 - 7.05)² + (9.75 - 7.05)²+ (4.75 - 7.05)² + (9.25 - 7.05)² + (9.75 - 7.05)² + (5.00 - 7.05)² + (5.00 - 7.05)² + (10.00 - 7.05)² + (10.00 - 7.05)² + (3.25 - 7.05)² + (9.75 - 7.05)² + (9.75 - 7.05)² + (9.25 - 7.05)² + (5.00 - 7.05)² + (5.00 - 7.05)² + (4.25 - 7.05)² + (26.00 - 7.05)² + (10.00 - 7.05)² + (5.00 - 7.05)²])

Sample standard deviation = 4.1318

Therefore, the sample standard deviation of years to maturity for corporate bonds is 4.1318 (rounded to four decimal places).

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98 is what percent of 56?

Enter your answer in the box.

( )%

Answers

Answer:

175%

Step-by-step explanation:

We take

98 divided by 56, time 100 = 175%

So, 98 is 175% of 56

Hi Can you help me ?

Answers

Answer:

please mark as brainliest

One and four hundred twenty-nine thousandths as a decimal

Answers

The one and four hundred twenty nine thousandths in decimal form is 0.429.

Decimal Form:

Decimals are numbers made up of a whole number and a fractional part. Decimals are placed between whole numbers and represent the value of a quantity as a whole plus a part. In decimal form, we write this as 1.5 pizzas. Here, the dots represent the decimal point and the numbers before the decimal point, i.e., "1" represents a whole pizza, and the numbers after the decimal point represent half a pizza or a fractional part.

According to the Question:

The calculation is as follows;

Here in the given situation  

One and Four hundred - the number 4

Twenty nine - the number 29

Now,  

We have to Add them together with 0.

So, it should be 0.429

Complete Question:

What is One and four hundred twenty-nine thousandths as a decimal

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The cable company charges a monthly fee of $55. Each movie that you rent from the DVR cost $4.99. You owe $79.95. How many movies did you rent?

Answers

The number of movies rented was 5 to bring a total cost of $79.95

What is an equation?

An equation is an expression that shows how two or more numbers and variables are related using mathematical operations of addition, subtraction, multiplication, division, exponents and so on.

Let y represent the total cost of renting x movies for one month.

The cable company charges a monthly fee of $55. Each movie that you rent from the DVR cost $4.99. Therefore:

y = 4.99x + 55

$79.95 is owed, hence:

79.95 = 4.99x + 55

4.99x = 24.95

x = 5

The number of movies rented was 5.

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