Brinda has come to her aunt's place and wants to play a game on the computer. The computer is shown in the figure. She presses the button marked A and is surprised to find that the computer starts immediately and there is already a file open. Which of the following is the best explanation of what happened?

Answer:

c

Step-by-step explanation:

because I know and look up

The scale factor between polygon D and polygon D' is 1.67.

Dilation is a transformation in mathematics that alters a geometric figure's size while preserving its form and proportions. Enlargement or scaling are other names for it. Dilation can be achieved by multiplying each point's coordinates in a figure by a fixed number known as the scale factor. A figure is expanded when the scale factor is more than 1, and it is shrunk when it is between 0 and 1. Calculating ratios of areas or volumes, describing the relationship between like figures, and modelling real-world situations are all examples of how dilation is utilised in many different branches of mathematics, including geometry, algebra, and calculus.

The scale factor is given as:

scale factor = dimension of D' / dimension of D

Substituting the values:

scale factor = (8 / 4.8) = 1.67

Hence, the scale factor between polygon D and polygon D' is 1.67.

Learn more about dilation here:

https://brainly.com/question/29811168

#SPJ1

Answer:

A 1.6

Step-by-step explanation:

The percent of Hispanics that prefer to read catalogs in Spanish is equal or higher than 30%

What is percentage ?

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.

%, which is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

By dividing the value by the entire value and multiplying the result by 100, one may determine the percentage. The percentage calculation formula is (value/total value)100%.

The percent of Hispanics that prefer to read catalogs in Spanish is equal or higher than 30%

To learn more about percentage from the given link  

https://brainly.com/question/24304697

#SPJ4

Answer:

To three decimal places, The process capability index is 0.167

Step-by-step explanation:

We have to find the process capability index,

Upper specification = 16.5 ounces,

Lowe specification = 15.5 ounces

Mean = 16.0 ounces

Standard Deviation = S = 1 ounce

process capability index = (upper specification - lower specification)/6S

process capability index = (16.5 - 15.5)/6(1)

= 1/6

Process capability index = 1/6 = 0.16666667

To 3 decimal places, we get,

Process capability index = 0.167

                                                  Question 1)

Given

Interest I = $18

Principle P = $200

t = 1.5 years

To determine

Interest rate r = ?

Using the formula

\(P = Irt\)

\(r=\frac{I}{Pt}\)

susbtituting I = 18, t = 1.5 and P = 200

\(r=\frac{18}{\left(200\times 1.5\right)}\)

\(r = 0.06\)

or

r = 6%       ∵ 0.06 × 100 = 6%

Therefore, we conclude that the interest rate required to  accumulate simple interest of $18.00  from a principal of $200 over 1.5 years is 6% per year.

                                                    Question 2)

Given

Interest I = $60

Principle P = $750

Interest rate = 4% = 0.04

To determine

Time period t = ?

Using the formula to calculate the time period

\(P = Irt\)

\(t\:=\:\frac{P}{Ir}\)

\(t=\frac{60}{\left(750\times 0.04\right)}\)

\(t = 2\) years

Therefore, the time required to  accumulate simple interest of $ 60.00

from a principal of $ 750 at an interest rate of 4% per year  is 2 years.

The probability that the mean weight of the sample of horses would differ from the population mean by less than 7lbs if 41 horses are sampled at random from the stable is 0.3823

In this question, we have been given  the horses in a large stable have a mean weight of 1124lbs, and a standard deviation of 150lbs.

We need to find the probability that the mean weight of the sample of horses would differ from the population mean by less than 7lbs if 41 horses are sampled at random from the stable.

μ = 1124 lbs, σ = 150 lbs, n = 41,

s = 150/(√41)

  = 23.43

pvalue of Z when X = 1124 + 7 = 1131 subtracted by the pvalue of Z when X = 1124 - 7 = 1117

So by the Central Limit Theorem,

Z = (1131 - 1124)/23.43

Z = 0.2987  has a pvalue of 0.7651

for X = 1117,

Z = (1117- 1124)/23.43

Z = -0.2988 has a pvalue of 0.3828

0.7651 -  0.3828 = 0.3823

Therefore, the probability that the mean weight of the sample of horses would differ from the population mean by less than 7lbs if 41 horses are sampled at random from the stable is 0.3823

Learn more about the probability here:

https://brainly.com/question/3679442

#SPJ4

Answer:

a = 32.3 m/s^2

F = 64.6 N

Step-by-step explanation:

a = v^2 / r

a = 10^2 / 3.1

a = 32.3 m/s^2

F = ma

F = 2 * 32.3

F = 64.6 N

Answer:

Step-by-step explanation:

B

Let's remember two important formulas for the problem:

Now we need to calculate the areas of each figure using the formulas

Now we have to subtract the area of the right triangle from the area of the rectangle

The area of the shaded region is 81 cm^2.

Remember that you have to write "cm^2" because is an area. Because "cm" is for length and "cm^3" is for volume.

Answer:

square root of 45 is 6.71 when rounded up,

Step-by-step explanation:

square root of 45 is 6.7082093 we round up (numbers 5&up round up 4 and below go down)  so we get 6.71

square root of 23 is 4.79583152 we round to 4.8

square root of -23 is 4.79583152 i .  Yes,the i is part of the number.

Generally i means imaginary. also technically if this is for school they might accept this result as a negative number.

Hope this helps.

Answer:

explain it better

Step-by-step explanation:

Thus, the answer is y = e2t which is the solution of the given differential equation.

The given differential equation is, y' + 4y' + 4y = et .....(1)

To solve this differential equation, we will write the equation in the standard form of differential equation which is y' + p(t)y = f(t)Where p(t) and f(t) are functions of t.

We can see that p(t) = 4 and f(t) = etLet's find the integrating factor which is given by I.

F. = e∫p(t)dtI.

F. = e∫4dtI.

F. = e4t

So, we multiply both sides of the equation (1) by the I.F.

I.F. × y' + I.F. × 4y' + I.F. × 4y = I.F. × et(e4t)y' + 4(e4t)y = e4t × et(e4t)y' + 4(e4t)y

= e5t

So, the differential equation is reduced to this form which is y' + 4y = e(t+4t)

Using the integrating factor, e4t, we get(e4t)y' + 4(e4t)y = e4te5tNow, we integrate both sides with respect to t to get the general solutiony = (1/4) e(-4t) ∫ e(4t+5t) dty

= (1/4) e(-4t) ∫ e9t dty

= (1/4) e(-4t) (1/9) e9ty

= (1/36) ey

As we have obtained the general solution of the differential equation, now we can substitute the given functions into the general solution to check which of the given functions are solutions of the differential equation.

Functions y = e%t + et,

y = e2t + tet, and

y = te2t +et are not solutions of the given differential equation but the function y = e2t is the solution of the given differential equation because it satisfies the differential equation (1).

Therefore, the only function which is a solution of the differential equation y' + 4y' + 4y = et is y = e2t which is verified after substituting it into the general solution of the differential equation.

To know more about equation visit:

https://brainly.com/question/29657983

#SPJ11

Answer:

151200

Step-by-step explanation:

We can start by essentially taking off the E at the end, meaning that we want to find all the combinations of

EVANESCENC. We can do this because the combinations will have an E at the end by default.

To solve this, we have to figure out the amount of letters and the amount of each letter. There are 10 letters, with 3 E's, 2 C's, 2 N's, 1 S, 1 V, and 1 A. Using the formula \(\frac{n!}{n1!n2!...nk!}\) , with n representing the amount of letters and each subset of n representing the amount of each letters, our answer is

\(\frac{10!}{3!2!2!1!1!1!} = \frac{10!}{3!2!2!} = 151200\)

No, because the data display the percentage of time spent by each age group, not a relative frequency compared with the whole.

The correct option is C.

The “ pie chart” is also known as a “circle chart”, dividing the circular statistical graphic into sectors or sections to illustrate the numericical value.

Given

People of different ages were asked the question "Do you listen to audiobooks?

" The frequency table displays the percentage of "yes" responses for different age groups. 13 to 17, 8 percent; 18 to 25, 15 percent; 26 to 35, 23 percent; 36 to 45, 45 percent; 46 and over, 48 percent.

Considering that the data displays the percentage of time spent by each age group, not a relative frequency compared to the whole, a pie chart would not be appropriate.

Hence, No, because the data display the percentage of time spent by each age group, not a relative frequency compared with the whole.

You can learn more about pie charts at;

brainly.com/question/25796636

Answer:

C.

Step-by-step explanation:

on edge2022

the integral of the line, where c is the specified curve. The line integral is (x 9y) dx x2 dy, where C is the provided curve. The line segments from (0, 0) to (9, 1) and from (9, 1) to (10, 0), respectively, make up the integral c (x+2y)dx+x2dy, C. is 95/3

\(\int\limits^a_c {(x+9y,x^{2} )} \, dr_{2} = \int\limits^1_0{9+t+9-9t, (9+t )^2} .(1, -1)\, dt\)

it is possible to parameterize the first line segment by

\(r_{1} (t) = (0,0)(1-t) + (9,1)t = (9t,t)\) with 0 ≤ t ≤ 1 indicate this first section with \(C_{1}\) then

\(\int\limits^a_c {(x}+9y,x^2 ) \, dr_{1} = \int\limits^1_0 {(9t+9t,81t^2) . (9,1)} \, dt\\ \\= \int\limits^1_0 {(162t + 81t^2) } \, dt\\\\= 108\)

secondly the line segment \(C_{2}\) can be characterised as

\(r_{2} (t) = (9,1)(1-t) + (10,0)t = (9+t,1-t)\) again using interval  0 ≤ t ≤ 1  then

\(\int\limits^a_c {(x+9y,x^{2} )} \, dr_{2} = \int\limits^1_0{9+t+9-9t, (9+t )^2} .(1, -1)\, dt\)

= -229/3

finally ,

= 108-229/3

= 95/3

Learn more about interval here

https://brainly.com/question/18125359

#SPJ4

Step-by-step explanation:

In this equation, given

f(x) = 3x + 9 and g(x) = 5x -1

So the question is what is the value of f if we put the value of g(x) in f(x)

So to solve the equation we need to replace the value of x in f(x) with g(x)

So it was obtained as below

f(g(x)) = 3(5x-1) + 9

= (15 x - 3) + 9

= 15 x + 6

B. 2x^4-11x^3+7x^2+5x-3

Answer:

x=7

Step-by-step explanation:

4x+3-2x+7=24

We move all terms to the left:

4x+3-2x+7-(24)=0

We add all the numbers together, and all the variables

2x-14=0

We move all terms containing x to the left, all other terms to the right

2x=14

x=14/2

x=7

Answer:

7(y-1)

Step-by-step explanation:

First find the difference ( subtraction) of y and 1

y-1

Then multiply by 7

7(y-1)

Answer:

261111111/100000

Step-by-step explanation:

Answer: here 11454

Step-by-step explanation:

Answer:

The given coordinate pairs are (7,-5), (-5, 4), (-8, 0), and (4, -9). We can use the distance formula to find the length of each side of the quadrilateral formed by these points.

The distance between (7,-5) and (-5, 4) is sqrt((7 - (-5))^2 + ((-5) - 4)^2) = sqrt(12^2 + (-9)^2) = 15.

The distance between (-5, 4) and (-8, 0) is sqrt((-5 - (-8))^2 + (4 - 0)^2) = sqrt(3^2 + 4^2) = 5.

The distance between (-8, 0) and (4, -9) is sqrt((-8 - 4)^2 + (0 - (-9))^2) = sqrt((-12)^2 + 9^2) = 15.

The distance between (4, -9) and (7,-5) is sqrt((4 - 7)^2 + ((-9) - (-5))^2) = sqrt((-3)^2 + (-4)^2) = 5.

So the perimeter of the quadrilateral is 15 + 5 + 15 + 5 = 40.

To find the area of the quadrilateral, we can divide it into two triangles by drawing a diagonal. Let’s use the diagonal between points (7,-5) and (-8,0). The length of this diagonal is sqrt((7 - (-8))^2 + ((-5) - 0)^2) = sqrt(15^2 + (-5)^2) = sqrt(225 + 25) = sqrt(250).

Now we can use Heron’s formula to find the area of each triangle. Let’s start with the triangle formed by points (7,-5), (-8,0), and (-5,4).

The semi-perimeter of this triangle is (15 + sqrt(250) + 5)/2. Let’s call this value s.

Using Heron’s formula, the area of this triangle is sqrt(s * (s - 15) * (s - sqrt(250)) * (s - 5)).

Now let’s find the area of the other triangle formed by points (7,-5), (-8,0), and (4,-9).

The semi-perimeter of this triangle is also (15 + sqrt(250) + 5)/2, which we have already called s.

Using Heron’s formula again, the area of this triangle is also sqrt(s * (s - 15) * (s - sqrt(250)) * (s - 5)).

So the total area of the quadrilateral is 2 * sqrt(s * (s - 15) * (s - sqrt(250)) * (s - 5)).

The estimated change in yy using differentials is -0.00679. This means that if xx is increased by 0.005, then yy is estimated to decrease by 0.00679. The differential of yy is dy=-5sin(5x)dxdy=−5sin⁡(5x)dx. We are given that y=cos(5x)=π/30y=cos⁡(5x)=π/30 and x=0.055x=0.055.

We want to estimate ΔyΔy, which is the change in yy when xx is increased by 0.005. We can use the differential to estimate ΔyΔy as follows:

Δy≈dy≈dy=-5sin(5x)dx

Plugging in the values of y, x, and dxdx, we get:

Δy≈-5sin(5(0.055))(0.005)≈-0.00679

Therefore, the estimated change in yy using differentials is -0.00679.

To learn more about differential click here : brainly.com/question/31383100

#SPJ11

The correct value of \($t^*$\) to be used to create a 90% confidence interval for the true mean number of calls is 1.676

In this scenario, the director of a customer service center wants to estimate the mean number of customer calls the center handles each day. To create a 90% confidence interval for the true mean number of calls, the director needs to use a confidence interval formula that takes into account the sample size, sample mean, and the standard error of the mean.

The standard error of the mean, denoted as \($SE_{\bar{x}}$\), represents the standard deviation of the sampling distribution of the mean. It can be calculated using the formula:

\($SE_{\bar{x}} = \frac{s}{\sqrt{n}}$\)

where\($s$\) is the sample standard deviation and \($n$\) is the sample size.

The director can use the t-distribution to create the confidence interval, as the sample size is relatively small (less than 30). The formula for the 90% confidence interval is:

\($\bar{x} \pm t^* \frac{s}{\sqrt{n}}$\)

where\($\bar{x}$\) is the sample mean, \($s$\) is the sample standard deviation,\($n$\) is the sample size, and \($t^*$\) is the critical value from the t-distribution with (n-1) degrees of freedom and a 90% confidence level.

To determine the value of \($t^*$\), the director needs to consult a t-distribution table or use a statistical software. For a 90% confidence interval and 47 degrees of freedom (48 - 1), the value of \($t^*$\) is approximately 1.676.

Therefore, the correct value of \($t^*$\) to be used to create a 90% confidence interval for the true mean number of calls is 1.676. Using this value, the director can calculate the confidence interval by plugging in the sample mean, sample standard deviation, and sample size into the formula. This will give an estimate of the range of values where the true population mean lies with 90% confidence.

To learn more about confidence interval refer here:

https://brainly.com/question/29680703

#SPJ11

Answer:

forth one

Step-by-step explanation:

8 students selected both .then only 24 of students selected only country music and only 6 students selected jazz music.

Answer:

C) 4/3x

Step-by-step explanation:

We know it can't be a or b

Now if we were to use points to solve it, for example (0,0) and (3,4)

then we would do 4-0/3-0 = 4/3 so the answer is C 4/3

Answer:

See attached image.

Step-by-step explanation:

If x=y, the (x,y) = (x,x) or (y,y).  All points have the same x and y values.

Answer:

m∠BOC = 40°

Step-by-step explanation:

Given O A ‾ ⊥ O C ‾ OA ⊥ OC m∠BOC=6x−6 ∘

m∠AOB=5x+8 ∘

Find m ∠ B O C:

This means that: m∠BOC and m∠AOC intersect at a right angle.

Hence:

m∠BOC + m∠AOC = 90°

Step 1

Solving for x

6x - 6 + 5x + 8 = 90°

11x -2 = 90°

11x = 90 - 2

11x = 88

x = 88/11

x = 8

Step 2

Solving for m∠BOC

m∠BOC = 6x - 8

m∠BOC = 6(8) - 8

= 48 - 8

= 40°

Answer:

Answer is 42

Step-by-step explanation:

6(8)-6

48-6=42

Answer:

65.5 feet per second

Step-by-step explanation:

In order to calculate the rate of descent we first need to find the difference in heigh that the hot air balloon descended. We do this by subtracting the initial height from the end height like so...

6,039 - 3,288 = 2,751 ft

Now that we have the difference in height we need to divide this by 42 since that is the amount of time it took for this descent to occur.

2,751 ft / 42s = 65.5 ft/s

Finally we can see that the rate of descent was 65.5 feet per second