Plot the image of point b under a dilation about point p with a scale factor of 1/2

Answer:

16'

Step-by-step explanation:

Answer:

Step-by-step explanation:

t=-3t^2+12t+5

-3t   -3t

t=12t+5

-5  -5

-5t = 12t

t= 2

Answer:

(A) Linear positive association

Step-by-step explanation:

Hope it helps you in your learning process.

The table for the function d = 3t is

t (hours) d = 3t (miles)

0 0

1 3

2 6

The equation of the function is given as

d= 3t

The above is a linear function

To make a table for the function d = 3t, we can choose some values of t and then calculate the corresponding values of d using the given equation.

Since the equation represents distance traveled at a rate of 3 miles per hour, we can assume that t represents time in hours and d represents distance in miles.

Let's choose some values of t and calculate the corresponding values of d:

t (hours) d = 3t (miles)

0 0

1 3

2 6

3 9

4 12

5 15

The graph is attached

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Answer: g(-3) is 9 .

Step-by-step explanation:

So there are two functions  and  the first function says that to get the solution x has to be greater than 4   and -3 which is the input is not greater than 4  so you can't use that function to solve for g(-3).

using the second function , it says that  x has to be less or equal to 4. And -3 is indeed less than 4 so you have to use the second function to solve for g(-3)  

g(x) = -2x + 3     Input -3  and solve

g(-3) = -2(-3) + 3

g(-3) = 6 + 3

g(-3) = 9  

By studying the characteristics of a polygon, it can be concluded that there are 9 sides in the polygon.

A polygon is a plane figure represented by a finite number of connected straight lines (the sides), thus forming a closed polygonal chain (or polygonal circuit).

Regarding the angles, the characteristics of polygons are:

Now we take a look at the given problem. If we denote x as the exterior angle, then the interior angle is equal to 3.5x.

An exterior and interior angle are supplementary angles, so:

x + 3.5x = 180°

     4.5x = 180°

          x = 180°/4.5°

             = 40°

The sum of the exterior angles is 360°, so the number of the sides (n) can be calculated as follows:

n * 40° = 360°

        n = 360° / 40°

           = 9

Thus, the polygon has 9 sides.

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The correct answer is option a. $7,594.46.

To calculate the amount you would reduce the amount you owe in the first year, we can use the formula for the equal installment of a loan. The formula is:

Installment = Principal / Number of Installments + (Principal - Total Repaid) * Interest Rate

In this case, the principal is $45,000, the number of installments is 5, and the interest rate is 8.5%.

Let's calculate the amount you would reduce the amount you owe in the first year:

Installment = $45,000 / 5 + ($45,000 - $0) * 0.085Installment = $9,000 + $3,825

Installment = $12,825

Therefore, you would reduce the amount you owe by $12,825 in the first year.The correct answer is option a. $7,594.46.

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Answer:

1) They were multiplied by one power of ten because 2.5x 1^10 is 25, and so that it is easier to divide.

19.625/ 2.5 * 10/10 = 196.25/25

Hope this helps plz hit the crown ;D

The frequency function in Excel can be used to determine the frequency of student absences based on the criteria in a specified range.

To simultaneously insert the FREQUENCY function in cells I12:I14, you can use the following steps:

Select the range I12:I14

Type the following formula in the formula bar: "=FREQUENCY(data_range,bin_range)"

Replace "data_range" with the range of values containing the student absences

Replace "bin_range" with the range of values containing the criteria (H12:H14)

Press enter to insert the formula in all of the selected cells

To calculate the results as percentages, divide the function by the number of records in the data and multiply by 100. You can do this by modifying the formula as follows:

=FREQUENCY(data_range,bin_range)/COUNT(data_range)*100

Replace "data_range" and "bin_range" with the appropriate cell references.

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Answer:

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 4

gives the next term. In other words,

an=a1.rn-1.

Geometric Sequence:

R=4

This is the form of a geometric sequence.

an=a1rn-1

Substitute in the values of

a1=11 and

r=4.an=(11)(.)4)n-1

Remove parentheses.

an=11.4n-1

Answer:

11,-88,704

Step-by-step explanation:

what exactly do u mean

Answer:

no the sign should say 12 percent of people voted darnells

Step-by-step explanation:

because if the population is 10 thousand and you take 25 percent that will put the total amount of people who can vote at 7500 and then take 20 percwnt of that and it will put you at 1500 people who can vote and then if you take 80 percent of 1500 people who can vote than only 1200 of them voted for Darnell which would make it only 12 percent of people voted for darnells

Answer:

6

Step-by-step explanation:

The smallest prime number is 2 and the smallest composite number is 4. And so, the sum of both of them is 2+4=6.

A rank 6 approximation of matrix A would only require us to store 1692 values.

To find the number of values needed to store a rank 6 approximation of the matrix A, we need to consider the formula for the rank-k approximation of a matrix:

A_k = U_k * Sigma_k * V_k^T

where U_k is a matrix of size m x k, Sigma_k is a diagonal matrix of size k x k, and V_k is a matrix of size n x k.

For a rank 6 approximation, we only need to keep the first 6 columns of U and V, and the first 6 diagonal entries of Sigma.

The number of values needed to store U_k and V_k is:

43 x 6 + 85 x 6 = 828

The number of values needed to store Sigma_k is:

6 x 6 = 36

Therefore, the total number of values needed to store a rank 6 approximation of matrix A is:

828 + 36 + 828 = 1692

So, a rank 6 approximation of matrix A would only require us to store 1692 values, which is much less than the 3655 values needed to store the full matrix.

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Answer:

Quotient is an answer to a division problem.

For example: 12 ÷ 2 = 6, the quotient is 6.

Reciprocal is the opposite of the fraction. When you put the numerator in the place of the denominator and vice versa.

For example: the reciprocal of 2/3 is 3/2. When divided, the two fractions cancel each other out.

To find the area of a sector, we use the formula:

A = (theta/360) x pi x r^2

where A is the area of the sector, theta is the central angle in degrees, pi is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.

In this case, we are given that r = 25 cm and theta = 130 degrees. Substituting these values into the formula, we get:

A = (130/360) x pi x (25)^2

A = (13/36) x pi x 625

A ≈ 227.02 cm^2

Therefore, the area of the sector with radius 25 cm and central angle 130 degrees is approximately 227.02 cm^2. <------- (ANSWER)

Answer:

all follow the sequence

Step-by-step explanation:

Pinecone and Pineapple - Scales and bracts are modified leaves, and the spiral arrangements in pine cones and pineapples reflect the spiral growth habit of stems. To confirm this, bring in a leafless stem from some tree or shrub and look at its buds, where leaves were attached.

Artichoke - The spiral of an artichokes leaves can be described by the Fibonacci Sequence. This sequence is a simple mathematical pattern where each successive number in the sequence is equal to the sum of the two preceding numbers, beginning with 0 and 1.

Nautilus shell - Each number is the sum of the two previous numbers. An approximation of a logarithmic spiral, created by drawing circular arcs connecting the opposite corners of squares in the Fibonacci tiling; this one uses squares of sizes 1, 1, 2, 3, 5, 8, 13, 21, and 34.

Christina finished 5/8 of her dinner.

Did she finish more than 1/2 of her dinner?

Explain.​

Solution

Yes, she finished more than 1/2 of her dinner, because

5/ 8 = 0.625 is greater than 1/ 2 = 0. 5

More Explanation

5/ 8 in decimal = 0 . 625

1/ 2 in decimal = 0 . 5

Comparing the two: 0.625 ( 5/ 8 ) is greater than 0. 5 ( 1/ 2 )

Answer:

$7.01

Step-by-step explanation:

Answer:

$7.01

Step-by-step explanation:

You have seven whole dollars, which goes before the decimal point, then your cents go behind the decimal point.

The probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

To find the probability that the average number of hours of overtime worked by a random sample of 140 employees exceeds 20 hours, we can use the Central Limit Theorem (CLT). The CLT states that for a large enough sample size, the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.

Given that the population mean is 18.9 hours and the population standard deviation is 7.8 hours, we can calculate the standard error of the mean using the formula: standard error = population standard deviation / sqrt(sample size).

For this problem, the sample size is 140, so the standard error is 7.8 / sqrt(140) ≈ 0.659.

To calculate the probability, we need to standardize the sample mean using the z-score formula: z = (sample mean - population mean) / standard error.

In this case, the sample mean is 20 hours, the population mean is 18.9 hours, and the standard error is 0.659. Plugging these values into the formula, we get z = (20 - 18.9) / 0.659 ≈ 1.71.

Now, we can use a standard normal distribution table or calculator to find the probability associated with a z-score of 1.71. Looking up this value in the table, we find that the probability is approximately 0.9564.

Therefore, the probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

Here's a sketch to visualize the calculation:

                  |

                  |

                  |

                  |       **

                  |      *  *

                  |     *    *

                  |    *      *

                  |   *        *

                  |  *          *

                  | *            *

-------------------|--------------------------

      18.9        |       20

The area under the curve to the right of 20 represents the probability we're interested in, which is approximately 0.9564 or 95.64%.

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Answer:

Down below :#

Step-by-step explanation:

The first one is False: reason \(\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\)

\(b^9b^2=b^{9+2}\)

\(=b^{9+2}\)

And then its b^11

Second one is false

Third one is  True

Fourth false

Reason: \(\mathrm{Apply\:exponent\:rule:\:}\left(a^b\right)^c=a^{bc},\:\quad \mathrm{\:assuming\:}a\ge 0\)

\(=b^{6\cdot \:5}\)

fifth one is False

\(\mathrm{Apply\:exponent\:rule:\:}a^0=1,\:\quad \mathrm{\:assuming\:}a\ne \:0\)

That equals 1

:) hope this helps  

*Brainly points xD I’m late but alright

The line of the  best fit for the data points plotted in the scatter plot is y = -0.88x + 8

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

The graph

Using the line of the best fit, we have"

(x, y) = (8, 1) and (0, 8)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 8

Using the points, we have

1 = 8m + 8

This gives

m = -0.88

So, we have

y = -0.88x + 8

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Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.

To calculate the future value of a three-year uneven cash flow given below, using an 11% discount rate, we need to use the formula;

Future value of uneven cash flow = cash flow at year 1/(1+discount rate)¹ + cash flow at year 2/(1+discount rate)² + cash flow at year 3/(1+discount rate)³ + cash flow at year 4/(1+discount rate)⁴

Given the cash flows;

Year 0: $0

Year 1: $600

Year 2: $500

Year 3: $400

Then the Future value of uneven cash flow

= $600/(1+0.11)¹ + $500/(1+0.11)² + $400/(1+0.11)³

= $600/1.11 + $500/1.23 + $400/1.36

=$540.54 + $405.28 + $293.00

=$1,238.82

Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.

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The area of the surface obtained by rotating the curve x = 20 cos(3θ), y = 20 sin(3θ), where 0 ≤ θ ≤ π/2, about the x-axis is calculated using the formulA for surface area of revolution

To find the area of the surface, we can use the formula for the surface area of revolution. Given a curve defined parametrically by x = f(θ) and y = g(θ), where α ≤ θ ≤ β, the surface area obtained by rotating the curve about the x-axis is given by:

A = ∫[α,β] 2πy √(1 + (f'(θ))²) dθ

In this case, we have x = 20 cos(3θ) and y = 20 sin(3θ), with 0 ≤ θ ≤ π/2. Taking the derivatives, we find f'(θ) = -60 sin(3θ) and g'(θ) = 60 cos(3θ).

Plugging these values into the surface area formula and simplifying, we get:

A = ∫[0,π/2] 2π(20 sin(3θ))(√(1 + (-60 sin(3θ))²)) dθ

Evaluating this integral will give us the exact value of the surface area of the rotated curve about the x-axis within the given range of θ.

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Answer:

In the question it is given ,

nth tem of sequence is n²+20

So, first term is (1)²+20=21

Second term is (2)²+20=24

Third term is (3)²+20=29

brainliest please :) hope this helped

Answer:

Step-by-step explanation:

Without specific information about the data set, it is not possible to determine which equation is the best fit.

To determine the linear function equation that best fits the data set, we need more information about the data set itself. Without the data points or any other details, we cannot accurately determine which linear function equation is the best fit.

However, I can provide a general explanation of the four options:

y = -2x + 5: This is a linear equation with a negative slope of -2. It represents a line that decreases as x increases. The y-intercept is 5.

y = 2x + 5: This is a linear equation with a positive slope of 2. It represents a line that increases as x increases. The y-intercept is 5.

y = -1/2x + 5: This is a linear equation with a negative slope of -1/2. It represents a line that decreases at a slower rate as x increases. The y-intercept is 5.

y = 1/2x - 5: This is a linear equation with a positive slope of 1/2. It represents a line that increases at a slower rate as x increases. The y-intercept is -5.

Without specific information about the data set, it is not possible to determine which equation is the best fit. The best fit would depend on how well the equation aligns with the actual data points.

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