MATHEMATICS HIGH SCHOOL

Calculate the scale factor of the dilation around the center of dilation, c. the preimage is blue and the image is red. a. k = 1/4
b. k = 1/3
c. k = 1/2
d. 2

Answers

Answer 1

Answer: please check the attached file

Answer 2

Answer:

The correct answer is:

C) k = 1/2

Explanation:

We will find the lengths of the horizontal segments of the pre-image and the image, and compare them to find the dilation factor.

For the pre-image, we have a horizontal segment from (2, 5) to (4, 5). This is a distance of 2.

The corresponding segment of the image goes from (2.5, 4) to (3.5, 4). This is a distance 1.

The segment of the image is 1/2 the size of the corresponding segment of the pre-image; this makes the dilation factor 1/2.

To verify, we have another horizontal segment of the pre-image that goes from (3, 2) to (6, 2). This is a distance of 3 units.

The corresponding horizontal segment of the image goes from (3, 2.5) to (4.5, 2.5). This is a distance of 1.5 units.

The distance of the image segment is 1/2 of the distance of the pre-image segment; this means the scale factor is 1/2.

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(Sorry for the spam, making sure these are right) One zero of the polynomial function f(x)=x^3-9x^2+20x is x=0. What are the polynomial function? Choices:
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Jade invested $13,500 at 5.2% interest, compounded semiannually, and she wants to know how much her investment will be worth in 8 years
Part 1: What is the periodic interest rate of jade investment
Part 2: How many compounding periods does jades investment offer in a year? how about in 8 years?

Answers

Part 1: What is the periodic interest rate of jade investment?

Each compounding period is done semi-annually, which means twice a year. Since the given interest rate is annual, then 5.2% divided by half should yield the period interest rate, which is 2.6%

Part 2: How many compounding periods does Jade's investment offer in a year? how about in 8 years?

In 1 year, there are 2 compounding periods. In 2 years, there are 16 compounding periods.

Answer:

Part 3: What expression can Jade write to figure out how much her investment will be worth in 8 years? F = $13,500.00 * (1 + .052/2) ^ (2*8)

Part 4: How much will Jade's investment be worth in 8 years? $20,355.96

Step-by-step explanation:

What are the answers to all these questions?

Answers

For example exc. 4!

V = x(6 - 2x)(10 - 2x) = (6x - 2x^2)(10 -2x) = 60x - 12x^2 - 20x^2 + 4x^3 = 4x^3 - 32x^2 + 60x;

Given that cos 63°≈ 0.454, enter the sine of a complementary angle.
sin

Answers

Answer:

$\cos(63^\circ)$ is the same as $\sin(27^\circ)$ by co-function identities

Step-by-step explanation:

Remember that complementary angles add up to 90°. The angle that i s complementary to 63° is 27°.

Also recall the co-function identities:

sin (90° – x) = cos x
cos (90° – x) = sin x

This means that $\cos(90^\circ-27^\circ)=\sin(27^\circ)\approx0.454$ .

myra's stamp collection consisted of 120 stamps in october. By the following march, her collection had grown to 138 stamps. By how much did her collection increase between october and march

Answers

Answer:

18 stamp increase

15 % increase

Step-by-step explanation:

To find the increase in number , we take the number of stamps in march and subtract the stamps in october

128-120 = 18

To find the percent increase, we take the number of stamps that we gained over the original amount of stamps * 100%

percent increase = 18/120 * 100%

.15 * 100%

15% increase

100 students take a course pass/fail. If they pass they get 4 points towards their GPA, if they fail they get 0. If 90 students pass, what is the mean and standard deviation (to 1 decimal) of the points earned?Mean: _______a0

Standard Deviation: _________a1

Answers

Given:
100 students:
pass = + 4
fail =+ 0

90 students passed: 90 * 4 = 360
10 students failed: 10 * 0 = 0

mean: 360 / 100 = 36

standard deviation:
36 - 4 = 32 ⇒ 32² = 1,024 * 90 = 92,160
36 - 0 = 36 ⇒ 36² = 1,296 * 10 = 12,960

92,160 + 12,960 = 105,120
105,120 / 100 = 1,051.20 ⇒ variance

Standard deviation = √1,051.20 = 32.42

Factor completely: 3x2 − 17x − 28