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3 years ago

Describe in words a sequence of transformations that maps ABC to A' B' C

Mathematics

2 answers:

katovenus [111]3 years ago

8 0

Answer:

First is a 90Âş rotation (counter-clockwise) with respect to the origin.

Step-by-step explanation:

myrzilka [38]3 years ago

5 0

Answer:

A reflection over the y-axis followed by a translation 4 units down

Step-by-step explanation:

hope this helps!

You might be interested in

Paired t-test Application (Part 1)An environmental engineer is tasked with determining whether a power plant cooling system is h

qaws [65]

Complete Question

The complete question is shown on the first and second uploaded image

Answer:

Part 1

The correct option is B

Part 11

The correct option is H

Step-by-step explanation:

From the question we are told that

The sample size is n = 15

Generally the sample mean for the input temperature is mathematically represented as

$\= x _1 = \frac{\sum x_i}{n}$

$\= x _1 = \frac{57.6 + 68.9 \cdots +60.4 }{15}$

$\= x _1 = 62.57$

Generally the sample mean for the output temperature is mathematically represented as

$\= x _2 = \frac{\sum x_i}{n}$

$\= x _2 = \frac{65.1 + 74.4 \cdots +67.3 }{15}$

$\= x _2 = 55.97$

Generally the difference between the mean of the input temperature and that of the output temperature is

$d = \= x_1 - \= x_2$

=> $d = 62.57 - 55.97$

=> $d = 6.6$

Generally the standard deviation of the difference between the input temperature and the output temperature is mathematically represented as

$s_d = \sqrt {\frac{1}{n-1 } \sum [d_i - d]^2}$

=> $s_d = \sqrt{\frac{[(57.6 - 65.1) - 6.6]^2+[(68.9 - 74.4) - 6.6]^2+ \cdots +[(68.1 - 74.7) - 6.6]^2 }{15-1} }$

=> $s_d = 1.732$

The null hypothesis is $H_o : \mu_1 -\mu_2 = 6$

The alternative hypothesis is $H_a : \mu _1 - \mu_2\ne 6$

Generally the test statistics is mathematically represented as

$t = \frac{d - 6}{ \frac{s_d}{ \sqrt{n} } }$

$t = \frac{6.6- 6}{ \frac{1.732}{ \sqrt{15} } }$

$t = 1.342$

Generally the p-value is mathematically represented as

$p-value = 2 * P(t > 1.342)$

From the student t distribution table( reference - danielsoper(dot)com(slash)statcalc(slash)calculator) at a degree of freedom of df = n-1 = 15-1 = 14

$P(t > 1.342) = t_{1.342 , 14} = 0.100478$

$p-value = 2 * 0.100478)$

$p-value = 0.201$

From the values obtained we see that the $p-value > \alpha$ hence the decision rule is fail to reject the null hypothesis

The conclusion is

The cooling system changes the temperature of the water by 6 degrees.

5 0

4 years ago

What is 16/3 and 4 2/3 (fractions) in feet

Readme [11.4K]

Answer:

16 / 3 inches = 0.444444444 feet

Step-by-step explanation:

Hope this helps

6 0

3 years ago

Read 2 more answers

If f (x) = 2 x + 5 and three-halves are inverse functions of each other and f (x) = 2x + 5, what is

marusya05 [52]

Answer:

See explanation

Step-by-step explanation:

The question has conflicting details

$f(x) = 2x + 5$

$f(x) = 2x + 5$ and three halves doesn't sound correct.

So, I will take f(x) as

$f(x) = 2x + 5$

Next, solve for the inverse function

Replace f(x) with y

$y = 2x + 5$

Swap x and y

$x = 2y + 5$

Make 2y the subject

$2y = x-5$

Make y the subject

$y = \frac{x-5}{2}$

Replace y with the inverse sign

$f^{-1}(x) = \frac{x-5}{2}$

So, now we can calculate any value from the original function and from the inverse function.

For instance:

$f^{-1}(7) = \frac{7-5}{2} = \frac{2}{2} = 1$

$f(1) = 2*1 + 5 = 2+5=7$

7 0

3 years ago

For the following polynomial, find P(a), P(-x) and P(x + h).<br><br> P(x) = 7x-6

torisob [31]

Answer:

Step-by-step explanation:

Hello, please consider the following.

P(a) = 7 * a - 6

P(-x)= 7 *(-x) - 6 = -7x - 6

P(x+h) = 7 * (x+h) - 6 = 7x + 7h - 6

Hope this helps.

Thank you.

6 0

3 years ago

PLEASEE HELPP MEEEE!!!!!!!!! PLEASEE!!!!!!!!!!!!!!!<br><br> what is the value of x?

maks197457 [2]

Answer:15

Step-by-step explanation:

27+x=42

Collect like terms

x=42-27

x=15

3 0

3 years ago