The area of this rectangle Is 257 1/4 in.². Find side length W. ( L= 10 1/2 in.)

An exponential function is y = 0.5ˣ.

What is an exponential function?

Calculating the exponential growth or decay of a given collection of data is done using an exponential function, which is a mathematical function. Exponential functions, for instance, can be used to estimate population changes, loan interest rates, bacterial growth, radioactive decay, and disease spread.

Here, we have

Given: (-2,4) & (1,0.5)

We have to find an exponential function.

An exponential function is in the general form

y = a(b)ˣ

We know the points  (-2,4) & (1,0.5)  so the following is true:

4 = a(b)⁻².....(1)

0.5 = ab.....(2)

From equation(1), we get

4 = a/b²

4b² = a

Now we put the value of a in equation(2) and we get

0.5 = b(4b²)

0.5/4 = b³

b = 0.5

If b = 0.5 then the value of a is:

0.5 = a(0.5)

a = 1

Giving us the equation:

y = 1(0.5)ˣ

y = 0.5ˣ

Hence, an exponential function is y = 0.5ˣ.

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Answer:

2,3,5,7,11

Step-by-step explanation:

see above for the first five prime numbers

Answer:

2, 3, 5, 7, 11

hope this helps

have  a good day :)

Step-by-step explanation:

Answer:

\(\frac{1}{3}\)

Step-by-step explanation:

(33*3+1 )/3 = 100/3%

Then you need to convert that to decimal by dividing 100

100/300 = 0.3333

which is 1/3 in decimal form

Answer:

210 m

Step-by-step explanation:

Perimeter is the distance around the outside of a two-dimensional shape.

Area is the space inside of a two-dimensional shape. We can also think of area as the amount of space a shape covers.

Christen ran around the soccer field, so she ran around the perimeter.

We can find the perimeter by adding all of the side lengths.

Perimeter=60 m+45 m+60 m+45 m

Christen ran 210m.

Step-by-step explanation:

10) \(24000(\frac{1}{32} )=\frac{24000}{32} =750\)

             Commission = $750

11) Constant of proportionality (k)

     k =  (Cups of blackberry) / (cups of juice)

                         \(k=\frac{4}{1\frac{1}{3} } =\frac{4}{\frac{4}{3} } =\frac{(4)(3)}{4} =\frac{12}{4} =3\)

    3 cups of blackberry for each cup of juice

                          On the table:

   12 cups of black berry required: 12/3 = 4 cups of juice

  8 cups of juice required: (8)(3) = 24 cups of blackberries

12) The equation

     assign: cups of blackberry: b, cups of juice: j

                                   \(b=3j\)

Hope this helps

Answer:

B

Step-by-step explanation:

the solution to a system of equations is at the points of intersection of the 2 lines.

the given lines only intersect once , thus there is only 1 solution

Answer:

no it is not

Step-by-step explanation:

you would have to get a common denominator which would be 60 so 12 times 5 is 60 and 20 times 3 is 60

then you multiply 4 by 3 and thats 12 and 3 times 5 is 15 so no they arent perportional

Answer:

20 problems.

Step-by-step explanation:

She has 100 - 65 = 35% of her problems left.

35% is equivalent to 7 problems,

so, 100% = 7 * 100/35

               = 100/5

              = 20 problems

Answer:

as an instinct i thought that i should multiply 11 and 5, so im saying 55 different selections

Step-by-step explanation:

sorry if im wrong

The quadrilaterals WXYZ and its image will be congruent  

From the question, we have the following parameters that can be used in our computation:

The transformation of WXYZ by

The above transformations are rigid transformations

This means that the image and the transformed figure would be congruent

This is so because the transformation does not change side lengths and angle measures

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Question

Quadrilateral wxyz will be reflected across the x axis and then rotated 90 degrees counterclockwise about the origin.

What are the true statements about the quadrilateral and/or the transformed quadrilateral

Answer:

3x+12

Step-by-step explanation:

When we multipy 3 with (x+4) it becomes 3x+12

Answer:

3x+12

Step-by-step explanation:

3(x+4)

3*x=3.....keep the x with 3 because x just represents 1

3*4=12

so your answer should be

3x+12

hope this helps :)

Answer:

- 0.4 (in decimal)

Step-by-step explanation:

Here "x" is input and "f(x)" is output

Average Rate of Change is = change in output / change in input

At x = 0, the output is 41

At x = 60, the output is 17

= (17-41)/(60-0) = -24/60 = -0.4

Answer:

22

Step-by-step explanation:

Answer:

the group needs 3 pizzas because:

9(people) x 2(slices) = 18

6(slices per pizza) x 3(pizzas) = 18

Step-by-step explanation:

Step-by-step explanation:

30976-15376/52

15600/52

300

so,300 is the final ans.

Answer:

300

Step-by-step explanation:

Apply PEMDAS.

\(\frac{176*176-124*124}{52}\\\\\frac{30976-15376}{52}\\\\\frac{15600}{52}\\\\\boxed{300}\)

Hope this helps.

Answer:

No

Step-by-step explanation:

To be linear, the change needs to be constant on both x and y.  The change is constant on the x but not the y in the table.

When the plane reaches an altitude of 2,000 ft temperature will be 59.3F

The height of a thing above the surface of a planet or natural satellite, like the sea or land is known as altitude.A distance measurement between a reference datum and a point or object, typically in the vertical or "up" direction, is known as altitude, height, or depth.

Although the term "altitude" is frequently used to refer to a location's height above sea level, the term "elevation" is frequently preferred in the context of geography. The term "depth" often refers to vertical distance measurements taken in the "down" direction.

For every 1000 ft there is a drop of 1.2 Fahrenheit

∴ for 2000ft drop in temperature of 2×1.2=2.4F

Also the temperature on the ground is 61.7F

The temperature when the plane reaches 2,000 ft will be

61.7-2.4 = 59.3F

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Answer:

C) y = 3x + 2

Step-by-step explanation:

Given the slope of the line, m = 3, and the coordinates of the y-intercept, (0, 2).

We can substitute these values into the following slope-intercept form, y = mx + b, where:

m = slope

b = the y-coordinate of the y-intercept.

Therefore, the correct answer is option C, where it shows the equation of the line in slope-intercept form is: y = 3x + 2.

It will take approximately 14.9 years for a $5,000 deposit in a savings account with a 3.3% interest rate to grow to $10,000.

To calculate the time it takes for the balance to reach $10,000, we need to use the formula for compound interest: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount (initial deposit), r is the interest rate (in decimal form), n is the number of times interest is compounded per year, and t is the number of years.

In this case, we have a $5,000 deposit (P), an interest rate of 3.3% (r = 0.033), and we want to find out how many years (t) it will take for the balance to reach $10,000 (A = $10,000).

Substituting the values into the formula, we get 10,000 = 5,000(1 + 0.033/n)^(n*t).

To solve for t, we can use trial and error or an iterative approach. By trying different values of t, we find that after approximately 14.9 years, the balance will grow to $10,000.

Therefore, it will take approximately 14.9 years for the balance to grow from $5,000 to $10,000 in a savings account with a 3.3% interest rate.

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Option c) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B

According to the information given in the question,

A true proportion of 0.325 represents that the two simulations will be conducted for sampling proportions from a population

Simulation A -

Sample size - 100

Trials - 1500

Simulation B -

Sample size - 50

Trials - 2000

Now due to the relation of simulation A and simulation B, they are closely equal-

The total sample size of simulation A= 1500 x 100

= 150000

The total sample size of simulation B = 2000 x 50

= 100000

From the above calculations of simulations A and B, we can see that while comparing the,

Sample Size = Simulation A > Simulation B

Variability = Simulation B < Simulation B

Therefore, option c) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B is correct.

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In a recent survey, the proportion of adults who indicated mystery as their favorite type of book was 0.325. Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325. Simulation A will consist of 1,500 trials with a sample size of 100. Simulation B will consist of 2,000 trials with a sample size of 50. Which of the following describes the center and variability of simulation A and simulation B?

A) The centers will roughly be equal, and the variabilities will roughly be equal.

B) The centers will roughly be equal, and the variability of simulation A will be greater than the variability of simulation B.

C) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B.

D) The center of simulation A will be greater than the center of simulation B, and the variability of simulation A will roughly be equal to the variability of simulation B.

E) The center of simulation A will be less than the center of simulation B, and the variability of simulation A will be greater than the variability of simulation B.

Answer:

x=3

y=2

Step-by-step explanation:

First we will calculate the slope of the line

Now, let calculate

The equation would be

Graph

I think three might be the correct answer

Nadia has constructed a pentagonal prism

We know that, a pentagonal prism has two pentagonal bases like top and bottom and five rectangular sides.

If we consider the bottom view of  pentagonal prism then it would be pentagon in shape.

If we consider the side view of  pentagonal prism then it would be rectangular in shape.

If we consider the front view of  pentagonal prism then it would be rectangle.

Therefore, Nadia has constructed a pentagonal prism

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Answer: c

Step-by-step explanation: it is a rational number because it repeats

Answer:

2.23 inches

Step-by-step explanation:

Difference means subtraction and you subtract the smaller number from the bigger number. 5.38 - 3.15 = 2.23 in.

Answer:

2.23 inches

Step-by-step explanation:

We will subtract 3.15 from 5.38 because the problem is asking for the increase. We will take the new height and subtract the old height to see the difference.

5.38 - 3.15 = 2.23 inches

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

The graph of the linear equation, 5x - 9y = -7, is in the attachment below.

The linear equation that models a graph can be written in  slope-intercept equation as y = mx + b. The value of the slope, which is the rise over the run of the line is represented as m, while the value of b, which is where the line intercepts the y-axis is b.

Given the linear equation, 5x - 9y = -7, rewrite in slope-intercept form:

5x - 9y = -7

-9y = -5x - 7

-9y/-9 = -5x/-9 - 7/-9

y = 5/9x + 7/9

This means the rise over the run of the line, m is 5/9, while the y-intercept of the graph, b is 7/9.

The graph is shown below.

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To represent decimal values ranging from 0 to 12,500, we need 14 bits.

To determine the number of bits needed to represent decimal values ranging from 0 to 12,500, we need to find the smallest number of bits that can represent the largest value in this range, which is 12,500.

The binary representation of a decimal number requires log base 2 of the decimal number of bits. In this case, we can calculate log base 2 of 12,500 to find the minimum number of bits needed.

log2(12,500) ≈ 13.60

Since we can't have a fraction of a bit, we round up to the nearest whole number. Therefore, we need at least 14 bits to represent values ranging from 0 to 12,500.

Using 14 bits, we can represent decimal values from 0 to (2^14 - 1), which is 0 to 16,383. This range covers the values 0 to 12,500, fulfilling the requirement.

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