What is the equation of a line that passes though the pointe (8, -3) and has a slope of 1/4?

The unit rate of gallon to mile is calculated as: 5/6 gallon per mile.

The unit rate between two variables is simply the ratio of the quantity of one variable to the quantity of the other variable, such that the the denominator of the will be equal to exactly 1.

We are given the variables gallons and miles, where 1/4 of a gallon is to 3/10 mile.

The unit rate between these two variables would be an amount of gallons per mile.

Thus, find the unit rate by dividing 1/4 by 3/10:

1/4 ÷ 3/10

= 1/4 × 10/3

= 10/12

= 5/6

The unit rate is therefore, 5/6 gallon per mile.

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Triangle xyz, z=61 degree, its nearest length If leg an is the missing side and xz=17.3 cm and xy=15.2 cm,

then change the equation to its original form when an is on one side and calculate the square root: a = √(c² - b²)

Leg b is undetermined if. For a missing hypotenuse c, the formula is b = (c2 - a2). c = √(a² + b²)

How do you calculate a triangle's third side?

Different Methods to Determine a Triangle's Third Side?

Use the Pythagorean Theorem while forming a right triangle. Use the isosceles triangle area formula to determine the area of a triangle. Use the law of cosines or the law of sines if you are familiar with some of the angles and other side lengths.

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Answer:

8.5 cm

Step-by-step explanation:

See attached worksheet.

Opposite 63 is ML (we are not after that)

Adjacent is MN

Hypotenuse is 18.8

Choose adjacent + Hypotenuse to find MN

AH - CAH, cos

Cos63 = A/18.8

x18. 8

18.8 x Cos63 = A

8.535.... = A

So, MN = 8.5cm

Ans: C

Hope this helps!

The dimensions given are as follows;

Base a = 36

Base b = 30

Height = 20

The area is derived as follows;

The area therefore is 660 square inches

May's total profit given the revenue, fixed cost and variable cost is $250.

Profit is when the difference between revenue and total cost is positive. A loss is earned when the difference between revenue and total cost is negative.

Total cost is the sum of fixed cost and variable cost. Fixed cost is the cost that remains constant regardless of the level of output. Variable cost changes based on the level of output.

Total cost = variable cost + fixed cost

$9,000 + $300 = $9,300

Profit = revenue - total cost

$9,950 - $9,300 = $250

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Answer:

1/2

Explanation:

If you take a sample of 1 drawn from the 8, you will have 8 possible options and 4 of them didn't contain defects. So, the probability can be calculated as:

Therefore, the answer is 1/2

The probability that a sample of 1 of the 8 computers will not contain a defective computer is 1/2.

The Probability in mathematics is possibility of an event in time. In simple words how many times that incident is happening in any given time interval.

Given a shipment of 8 computers contain 4 with defects.

That means 8 -4 = 4 computers have no defect.

To find the probability;

we have 8 possible computers and 4 computers have no defect.

The probability;

= 4 /8

= 1/2

= 0.5

Therefore, the probability that a sample of 1 of the 8 computers will not contain a defective computer is 1/2.

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Answer:

they are all expressions except D) 6y + 1z = 7x - 3w which is an equation, B

4x ^ 2

2

- 6 it is not known because it is poorly written.

Step-by-step explanation:

Which of the following is NOT an expression?

A   3x + 1  (expression)

B  4x^2 2- 6 (unknow)

C) 5b (expeession)

D) 6y + 1z = 7x - 3w    (Equation)

The scientist was 83.5 feet below sea level while studying ocean life.

Given that:-

Distance the scientist ascended after studying the ocean life = 61.9 feet

Distance below sea level the scientist is after ascending = 21.6 feet

We have to find the distance by which the scientist was below sea level while studying the ocean life.

We know that,

Distance by which the scientist was below sea level while studying the ocean life = Distance the scientist ascended after studying the ocean life + Distance below sea level the scientist is after ascending

Hence, we can write,

Distance by which the scientist was below sea level while studying the ocean life = 61.9 + 21.6 = 83.5 feet.

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Answer:

350m

Step-by-step explanation:

Vi = 15 m/s

A = 4 m/s^2

delta t = 10s

delta x = ?

delta x = (Vi)(delta t) + 1/2(A)(delta t)^2

delta x = (15m/s)(10s) + 1/2(4m/s^2)(10s)^2

delta x = 350 m

The statement as number expression is given by the total number of points are 55.

What is Mathematical expression?

An expression is a finite combination of symbol and numbers depending on the context

We are given that A person has lost a card game and he is counting the points left in his hand.

His cards were five fours and five sevens

And we have to write this statement as number expression

Now there are five fours that is [tex]5*4=20 points[/tex]

And five sevens that is [tex]5*7=35 points[/tex]

Hence the total number of points are 20+35=55 points.

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There are 24000 spectators left the contest discontented.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have been given that Only 20 percent of the spectators left the contest discontented.

If 6000 spectators left the contest contented, then the contest  left discontented are;

The spectators left the contest contented = 6000

20/ 100 x D = 6000

D = 6000 x 100/20

D = 30000

Now the contest  left discontented are;

80 percent = 80/100 x 30000

= 24000

Hence, 24000 spectators left the contest discontented.

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12. A = [tex]3x^3-21x[/tex]

A = lw

A = 3x * (-7x * x^2)

(distribute the 3x

A = -21x * x^3

A = [tex]3x^3-21x[/tex]

13. A = [tex]4x^3 -4x[/tex]

A = lw

A = 4x * (x^2 * -7x + 6)

(distribute the 4x)

A = 4x^3 * -28x +24x

A = [tex]4x^3 -4x[/tex]

The person that has the higher average speed is Teresa.

The average speed is the total distance travelled by the object in a particular time interval.

Average speed measures the average rate of speed over the extent of a trip.

Therefore,

average speed = distance / time

Hence, Karl drove 40 miles in 50 minutes.

Therefore,

average speed of Karl = 40 / 50

average speed of Karl = 4 / 5 miles per minute

Teresa drove 35 miles in 42 minutes.

Therefore,

average speed of Teresa = 35 / 42

average speed of Teresa  = 5 / 6 miles per minutes

Therefore, Teresa had the higher average speed.

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Answer: [tex]50^{\circ}[/tex]

Step-by-step explanation:

[tex]m\angle FDE=25^{\circ}+25^{\circ}=50^{\circ}[/tex]

Answer:

tbh times them all by 15 and u should get the answers

Using complementary angles, the numerical value of the given expression is as follows:

2.

Complementary angles are angles whose sum of the measures is of 90º.

The relevance of complementary angles in the context of this problem is that if a and b are complementary angles, then the sine of one angle is the cosine of the other angle, as follows:

sin(a) = cos(b).

Considering the angles of 40º and 50º in this problem, we have that:

Hence these following simplifications are applied:

Then the numerical value of the expression is given as follows:

1/1 + sin²(40º) + cos²(40º) = 1 + 1 = 2.

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Answer:

All of the above

Explanation:

All the given options make use of credit scores and/or credit reports to decide whether a person can buy a service and/or to decide what price he or she will pay. landlords may use credit scores to decide if they will require a security deposit and, if so, how much it should be. Also, other service providers like Mortgage lender, Cell phone company and Credit card issuer makes use of credit scores and/or credit reports in making certain decisions.

Answer:

5°C

Step-by-step explanation:

hope this helps, i used your formula :D

Same age

See explanation below

Let the age of Jasmine = y

Multiplying Jasmine age by 3 and adding 6:

= (y × 3) + 6

= 3y + 6

Multiplyng the sum by 2:

2 × the sum = 2 × (3y + 6)

= 6y + 12

Let James age = z

Multiplying the age by 2 and adding 4:

James age × 2 = z × 2 = 2z

adding 4 = 2z + 4

Multiplying the sum y 3:

3 × the sum = 3 × (2z + 4)

= 6z + 12

Now since they are twins, they ae most likely same age

This means:

6y + 12 = 6z + 12

subtracting 12 from both sides:

6y = 6z

dividing both sides by 6:

y = z

Hence, Jasmine age is the same as James age

B) The expression for Jasmine = 2(3y + 6) = 6y + 12

The expression for James = 3(2z + 4) = 6z + 12

let the twin's age = 2, 3, 4, 5

when twin's age = 2

6y + 12 = 6(2) + 12 = 12 + 12 = 24

6z + 12 = 6(2) + 12 = 12 + 12 = 24

when twin's age = 3

6y + 12 = 6(3) + 12 = 18 + 12 = 30

6z + 12 = 6(3) + 12 = 18 + 12 = 30

when twin's age = 4

6y + 12 = 6(4) + 12 = 24 + 12 = 36

6z + 12 = 6(4) + 12 = 24 + 12 = 36

when twin's age = 5

6y + 12 = 6(5) + 12 = 30 + 12 = 42

6z + 12 = 6(5) + 12 = 30 + 12 = 42

Plotting the table:

The probability that the pilot weighs between 140 and 190 pounds is 0.6262.

When provided,

µ = 158

σ = 27.2

We must determine P(140 x 190).

P(140< x < 190) = P(x< 190) - P(x<140)

Locate P(x 190).

Z = (x - µ)/σ

Z = (190 - 158)/27.2

Z = 1.176471

P(Z<1.176471) = P(x<190) = 0.880297

[This probability can be determined using a z-table, Excel, Ti-83/84 calculator, software, etc. Z-table is less accurate than other methods in terms of value.]

Find P(x>140) now.

Z = (x - µ)/σ

Z = (140 - 158)/27.2

Z = -0.66176

P(Z<-0.66176) = P(x<140 ) = 0.254061

P(140< x < 190) = P(x< 190) - P(x<140)

P(140< x < 190) = 0.880297 - 0.254061

P(140< x < 190) = 0.626236

The necessary probability is 0.6262.

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Answer:

Step-by-step explanation:

0.626 is the probability that the pilot weighs between 140 and 190 pounds.

Mean (µ ) = 158

S.D(σ ) = 27.2

P(140 x 190)=?

P(140< x < 190) = P(x< 190) - P(x<140)

Find  P(x 190).

Probability determined using Z-table.

Z = (x - µ)/σ

  = (190 - 158)/27.2=1.176471

P(Z<1.176471) = P(x<190) = 0.88

Find P(x>140)

Z = (140 - 158)/27.2= -0.66176

P(Z<-0.66176) = P(x<140 ) = 0.254

P(140< x < 190) = 0.88 - 0.254

                          = 0.626

Therefore probability is 0.626.

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Answer:

y = -4

Explanation:

Given the equation:

Thus, the number is -4.

Answer:

[tex]x = 2 \pm \frac12\sqrt7[/tex]

Step-by-step explanation:

Hello!

Expand the left-hand side of the equation:

Create the Equation:

The roots of the equation are [tex]x = 2 \pm \frac12\sqrt7[/tex]

Y'=33.67+0.54*X' .

For married couples in their early 20s, the regression equation and the prediction of a husband's height. In statistics, a regression equation is used to determine whether or not there is a link between two sets of data.

In statistics, a regression equation is used to determine whether or not there is a link between two sets of data. For instance, you might discover that a child grows roughly 3 inches a year if you measure their height each year. A regression equation can be used to model the three-inch growth tendency.

Detailed explanation:

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The rate which the investment is compounded annually is 1.7%

Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

The formula to calculate compound interest is given as

[tex]A = p(1 + \frac{r}{n})^n^t[/tex]

substituting the values into the equation and solve for rate at which the investment is compounded

[tex]A = p(1 + \frac{r}{n})^n^t\\6669 = 6130(1+ \frac{r}{1})^1^*^5\\ r = 1.7[/tex]

The rate of the investment is 1.7%

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Let's call X the cost of one bunch of roses and Y the cost of one palm.

Then, the first order was for 13 bunches of roses and 4 palms, totaling $487, so:

13X + 4Y = 487

Additionally, the second order was for 6 bunches of roses and 2 palms, totaling $232, so:

6X + 2Y = 232

Then, solving for Y on the first equation, we get:

Replacing on the second and solving for X, we get:

Then, we can replace the value of X and calculated the value of Y as:

Answer: The cost of one bunch of roses is $23 and the cost of one palm is $47

Women are paid approximately 80 percent of what men are paid.

Multiple studies have been carried out to discuss the income inequality prevailing in United States. Pay inequity has been found as a corollary of the income inequality.

The women and men has different pay levels for the same work at certain work places. Income inequality is considered as an injustice and to put forward this issue may organizations are trying.

Hence according to multiple studies, including those by the American association of university women and the pew research center, on average, women are paid approximately 80 percent of what men are paid.

We can see the appreciable difference in the pay levels of women and men prevailing.

As a result several laws has been passed recently to have a solution for this injustice.

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1. The total number of cases of cancer x that could be prevented if each one of the exposures were eliminated is 900.

2. The suggestion to the public health agencies if they requested the one exposure that would have a greater impact on reducing the prevalence of cancer x if eliminated is smoking.

The prevalence rate refers to the proportion of the population who have a particular disease or attribute or can be exposed to risks at a specified time or over a specified period.

The assumed population size in Epiland  = 1,000

Prevalence of smoking in Epiland = 60%

The number of Epiland smokers = 600 persons (1,000 x 60%)

Percentage of people drinking water with a high concentration of heavy metals = 30%

The number of people drinking the water = 300 (1,000 x 30%)

The total number of people exposed to cancer x = 900 (600 + 300).

Thus, 90% of the population in Epiland is exposed to cancer x based on the prevalence rate of smoking and the high concentration of heavy metals in their drinking water.

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Answer:

x = 4

Step-by-step explanation:

a line with an undefined slope is a vertical line parallel to the y- axis, with equation

x = c ( c is the value of the x- coordinates the line passes through )

the line passes through (4, 6 ) with x- coordinate 4 , then

x = 4 ← equation of line

The solution of the equation is as follows;

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

In other words, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The expression can be solved as follows:

b / 27 = - 3

cross multiply

b = -3 × 27

b = - 81

42 = v + 35

subtract 35 from both sides of the equations.

42  - 35 = v + 35 - 35

v = 42 - 35

v = 7

- 128 = 4x

divide both sides of the equations by 4

4x / 4 = - 128 / 4

x = - 32

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Answer:

Step-by-step explanation:

1) b/27 = -3, then b = ?

→ b/27 = -3

→ b = -3 × 27

→ [ b = -81 ]

Thus, value of b is -81.

2) 42 = v + 35, then v = ?

→ v + 35 = 42

→ v = 42 - 35

→ [ v = 7 ]

Thus, value of v is 7.

3) -128 = 4x, then x = ?

→ 4x = -128

→ x = -128/4

→ [ x = -32 ]

Thus, value of x is -32.