a rectangle has a length that is 5 inches greater than its width, and its area is 104 square inches. the equation (x 5)x

The equation to express the relationship will be y = 5.05 + 2.45x.

Worth of the card = $5.06

It should be noted that the card increases by $2.45.

Therefore, the equation to express the relationship will be:

y = 5.06 + (2.45 × x)

where x = number of years.

y = value of the card.

y = 5.05 + 2.45x

In conclusion, the equation to express the relationship will be y = 5.05 + 2.45x.

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The most specific name for the figure in the image is a  Rectangle. Option B

This is further explained below.

Generally, According to the principles of Euclidean geometry, a Rectangle is considered to be a regular quadrilateral since it has four sides of equal length amongst opp two sides

Another way to describe it is as a rectangle with two neighboring sides that have the same length.

The term coordinate is pronounced exactly the same as o-ordinate. When used as an adjective, these phrases might signify to have the same status or rank, to have something to do with coordination, or to have something to do with an intersection of indices.

In conclusion, A Rectangle is the most accurate description of the shape that can be seen in the picture. Alternative B

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The value of h in the given diagram is 72 ft. The correct option is the third option 72

From the question, we are to calculate h. h is the height of the triangle

First, we will the determine half the length of the base of the triangle.

Half the length of the base of the triangle = 42 ft/2

Half the length of the base of the triangle = 21 ft

Thus,

By the Pythagorean theorem, we can write that

75² = 21² + h²

5625 = 441 + h²

h² = 5625 - 441

h² = 5184

h = √5184

h = 72 ft

Hence, the value of h in the given diagram is 72 ft. The correct option is the third option 72

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Answer:

From the way the problem is worded:

CDE is a straight angle made up of three angles: CDF of measure 43, FDG of unknown measure and GDE of measure 8x + 1.

EDH is outside CDE and is of measure 6x + 15.

Since DE bisects GDH to form GDE and EDH, those latter two angles are equal and thus 8x + 1 = 6x + 15 and x = 7 and substituting 7 for x, both angles are equal to 57 degrees.

Since CDF is 43 and GDE is 57 and CDE is 180 in total, then FDG = 180 - 43 - 57 = 80 degrees.

The fraction of the brownies left is 1/12.

We need to find out what fraction of the brownies is left.

Let " r " denote the fraction that is left.

Then we have r + 1/4 + 2/6 + 1/3 = 1

⇒ r + 1/4 + 1/3 + 1/3 = 1 (Writing the fraction 2/6 in the simplest form)

⇒ r + 1/4 + 2/3 = 1

⇒ r + (3 + 8)/12 = 1 (taking LCM of 4, 3 and adding the fractions 1/4 and 2/3)

⇒ r + 11/12 = 1

⇒ r = 1 - 11/12

⇒ r = (12 - 11)/12

⇒ r  = 1/12.

Therefore, the fraction of the brownies left is 1/12.

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Disclaimer:

The fractions provided in the question are not clear.

Assuming the following to answer the given question.

Molly ate 1/4 of the brownies,

Milo ate 2/6 of the brownies, and

Morgan ate 1/3 of the brownies.

Answer: y = 12/11 x + -12/11

Step-by-step explanation:

m = y2 -y1/x2 -x1

x1 = -4

x2 = 7

                  into m = y2 - y1/x2 -y1

y1 = -7

y2 = 5

m = 12/11

x = -4            into y = mx + b

y = -7

b = - 12/11

y = 12/11x + -12/11 into

y = mx + b :

y + 12/11x + -29/11

Step-by-step explanation:

- 4.3 its the same as (-4.3)

Answer:

3√5

Step-by-step explanation:

You use the Distance Formula to solve this.

d=√(x2-x1)^2 + (y2-y1)^2

Plug in your points.

d=√(3-0)^2 + (-2- -8)^2

Subtract and square.

d=√9 + 36

Add

d=√45

The square root of 45 is 6.70, so you would look for radicals.

3√5 is 45. <3

The standard form of a line is simply a special way of writing the equation of a line. You are probably already familiar with the slope-intercept form of a line, y = mx + b. The standard form is just another way to write this equation and is defined as Ax + By = C, where A, B, and C are real numbers, and A and B are both not zero (see note below about other requirements). As you will see in the lesson below, every line can be expressed in this form.

Note that the requirements on A, B, and C vary a bit from textbook to textbook. While they technically can be any real numbers, it is most common to write them as integers and to keep A positive. It is also common to require that A, B, and C share no common factors.

Ax+By=C

THE STANDARD FORM OF A LINE: Ax+By=C

The result is referred to as the standard form of the line: Ax+By=C. We should always be able to convert from one form of an equation to another. For example, if we are given a line in the slope-intercept form, we should be able to express it in the standard form, and vice versa

he standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equations

Now ,

A=0

B=0

A and B are not both zero, the graph of Ax + By = C is always a line.

when ,

The graph of Ax + By = C, where A and B are not both zero

A[tex]\neq[/tex]0

B[tex]\neq[/tex]0, is a line.

Divide both sides by B. Because the form Ax + By = C can describe any line,

it is called the standard form of an equation for a line.

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Answer:5.7 more miles that Tom has to drive

Step-by-step explanation: you add a extra zero to the 13 which would look like 13.0 and then put the 7.3 under 13.0 and it would look like this

13.0

 7.3 and you subtract like normal

Answer:

What's f(x)?

Step-by-step explanation:

In 1995, we would anticipate a per capita consumption of 54.3 pounds of chicken.

So,

Let us first calculate the slope of the linear function:

The required linear function can be written as:

When we simplify this, we get:

To calculate per capita consumption in 1995, enter t=15 into this function.

Therefore, in 1995, we would anticipate a per capita consumption of 54.3 pounds of chicken.

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The correct question is given below:

For 1983 through 1989, the per capita consumption of chicken in the u.S. Increased at a rate that was approximately linear. In 1983, the per capita consumption was 39.7 pounds, and in 1989 it was 47 pounds. Write a linear model for per capita consumption of chicken in the u.S. Let t represent time in years, where t = 3 represents 1983. Let y represent chicken consumption in pounds. What would you expect the per capita consumption of chicken to be in 1995? What would you expect the per capita consumption of chicken to be in 1995?

Answer:

-28

Step-by-step explanation:

-84/3=-28

-28 is the answer to the problem

Answer:

8, 18

Step-by-step explanation:

The absolute value is the distance of the point from 0. In this question, it would be the number itself.

Answer:

The answer would be 8 and 18

Step-by-step explanation:

To solve an equation containing absolute value, isolate the absolute value on one side of the equation. Then set its contents equal to both the positive and negative value of the number on the other side of the equation and solve both equations. Solve | x | + 2 = 5. Isolate the absolute value.

To the nearest cent, the amount she would have in 2 years is $44.10

What is future value of the deposit in savings account?

The future value of the savings account deposit is accumulated balance in the account after 2 years which includes the initial deposit plus interest earned over 2 years

FV=PV*(1+r)^N

FV=accumulated balance after 2 years=unknown

PV=initial deposit=$40

r=interest rate per year=5%

N=number of years that the deposit would last=2

FV=$40*(1+5%)^2

FV=$44.10

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Answer:

No solution.

Step-by-step explanation:

4(18g - 12) = 12(6g -4) + 4

4(18g) - 4(-12) = 12(6g) - 12(-4) + 4

72g + 48 = 72g + 48 + 4

72g + 48 = 72g + 52

72g -72g + 48 = 72g -72g + 52

48 = 52  This is a false solution so there is no solution.  No value for x will make this equation true.

Answer:

8.013 x 10^3

Step-by-step explanation:

The percentage of right-handed people is 1%.

Percent signifies out of one hundred. It is frequently represented by the symbol "%," even when there aren't 100 entries. After that, the figure is scaled so that it can be put in comparison with 100. Additionally, changes in numerical quantities are denoted by percentages.

We have a bowl of fruit, for instance, with three apples and one orange. Three out of four, or 3/4, or 75 out of 100, or 75 percent, are apples.

A ratio can also be expressed as a fraction or decimal in addition to being written as a percentage. There are methods for converting decimals or fractions to percentages.

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Answer: the answer is c!

Step-by-step explanation:

The two points that also lie on the circle are:

A (-3,-4) and D (5,0)

We know that a all the points on a circle are equidistant to the center of the circle, and in this case, the center is the origin (0, 0).

We know that the point (4, -3) lies on the circle, so the radius of the circle is:

R = √( (4 - 0)^2 + (-3 - 0)^2) = √25 = 5

So, any point that is at 5 units of the origin will also lie on the circle.

These points are:

A: (-3, -4)

R = √(  (-3 - 0)^2 + (-4 - 0)^2) = √25 = 5

And the point D: (5, 0)

R = √( (5 - 0)^2 + (0 - 0)^2) = √25 = 5

So the correct options are A and D.

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Answer:

25

Step-by-step explanation:

x/5-4=1

x/5=1+4

x/5=5

x=5×5

x=25

The graphed function is decreasing on this following interval:

(-5, 5).

Looking at the graph, we get that a function f(x) is decreasing when it is "moving southeast", that is, to the right and down on the graph, meaning that when x increases, y decreases.

From this problem, there is only one interval, from x = -5 to x = 5, hence the interval is (-5, 5).

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Answer:

steps

12-(8+1)^2

=12-9^2

12-81

=-69

Step-by-step explanation:

[tex]$$\begin{aligned}&T^{\prime}=-k(T-72) \quad T(0)=35 \text { (given) } \\&\frac{d T}{T-72}=-k d t-\left\{q^n(1)\right. \\&\text { Solphy } k g^n(1) \\&\ln (T-72)=0-k t+1 \\&T-72=e^{-k t+t} \\&T-72=e^{-k t} e^l \\&\text { let } e^r=C \\&T-72=C e^{-k t} \\&T=72+C e^{-k t} \\&T(t)=72+c e^{-k t}(2)\end{aligned}$$[/tex][tex]$T(t)=72+c e$ Now at $t=Q \mathrm{~mm} \quad T=42$ given Now at $t=Q \min T=$$$\begin{aligned}&\text { yed: } 72+4 e^{-k t} \\&35=72+c e^{-k 0} \\&C=-37 \\&\text { at }+=2 \text { min } T=42 \\&\text { a gaim puting in \&qn } \\&42=72-3+e^{-2 k}\end{aligned}$$[/tex][tex]$$\begin{array}{rl}-\frac{30}{37} & =e^{-2 k} \\e^{-2 k} & =\frac{30}{37} \\-2 k & =\ln \left(\frac{30}{37}\right) \\k & =0.1048 \\p 1 h y & m n \\T(t) & =72-37 e^{-0.1048+} \\T(15) & =72-37 e^{-0.1048 \times 15} \\T(15) & =72-37 \times 1 \\T(15) & =64.31 \\& =\end{array}$$[/tex]

The unit is the degree Fahrenheit, represented by the sign °F. There are various accounts of how he initially defined his scale, but the initial paper suggests that the lower defining point, 0 °F, was established as the freezing temperature of a brine solution made from a combination of water, ice, and ammonium chloride (a salt). The other limit established was his best estimate of the average human body temperature, originally set at 90 °F, then 96 °F (about 2.6 °F less than the modern value due to He did, however, mention a midpoint at 32 °F, which would be the temperature of ice water.

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Answer:

Option C.

Step-by-step explanation:

For a table to be linear, the table must have a constant and even rate of change, meaning as X, the input, increases by 1, Y, the output, increases evenly by a random number we're gonna name "a". Now, a, in this case, is -8. The numbers increase evenly by -8(a), which would classify that function as linear. Thus, option C. is the correct answer.

The comparison of the mean and median of the data set of the dot plot in the first part and the variability and outlier of the dataset in the box and whiskers plot in the second part are;

First part;

1. The median is greater than the mean.

2. Both the mean and median will increase

Second part;

1. School 1 has greater variability

2. The maximum value of school 1 is not an outlier

3. The new athlete needs to spend 21 hours or more

First part;

1. The value in the dot plot are;

10, 11, 12, 12, 13, 13, 13, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 19

The number of data points = 36

The mean = The sum of the above data divided by 36

Using an online calculator of data sets, we have;

Therefore;

2. The addition of 60 to the dataset will increase the number of data points from 36 to 37, thereby changing the median, which is the middle value to the 19th number, which is 16, while the mean value will also increase to 16.405, therefore;

Second part;

1. A measure of variability of a box plot is the range, which is the difference between the largest and smallest values.

The range of school 1 is; 16 - 1 = 15

The range of school 2 is; 14 - 1 = 13

Therefore;

2. The maximum value of school 1 is 16

The inter quartile range of school 1 is; IQR = 10 - 4 = 6

An outlier = Q3 + 1.5 × IQR

Which gives;

An outlier ≥ 10 + 1.5 × 6 = 19

3. Q3 for school 2 = 12

IQR for school 2 = 12 - 6 = 6

Which gives;

Outlier for school 2 ≥ 12 + 1.5 × 6 = 21

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