P (-5, -6), Q (-1, 2), R (4, 4)Scale factor = 2

P' =

Q' =

R' =

Answers

Answer 1
Answer: P’(-10,-12) Q’(-2,4) R’(8,8)

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How do you do this 6-2x=10

Answers

-2x=10-6

The answer: x= -2

Answer:

x= -2

Step-by-step explanation: (remember the 6 in this equation is positive so you'll subtract it and the 2 is actually -2x. First, you'll subtract 6 from itself and 10, the two 6's cancel out and 10-6=4. Then, you'll divide -2 and 4 by -2, the two -2's cancel out and 4 divided by -2 is -2. Finally, you'll see that x = -2. This is all done by the order of operations also known as PEMDAS. )

6 - 2x =10

-6          -6

-----------------

      -2x = 4

      ------------

        -2 = -2

        x = -2

Which function is even? check all that applya. y = csc x
b. y = sin x
c. y = sec x
d. y = cos x

Answers

The function is even will be y = sec x and y = cos x. Then the correct options are C and D.

What is an even function?

Even Function - A true function f(x) is said to be an even function if the output value of f(-x) is the same as the f(x) for all values of x in the domain of f.

The equation should be stored in an even function:

f(-x) = f(x)

Check all that apply.

a. y = csc x, then replace x with -x. Then we have

y = csc -x

y = 1/sin -x

y = - 1/ sin x

y = -csc x

b. y = sin x, then replace x with -x. Then we have

y = sin -x

y = - sin x

c. y = sec x, then replace x with -x. Then we have

y = sec-x

y = 1/cos -x

y = 1/ cos x

y = sec x

d. y = cos x, then replace x with -x. Then we have

y = cos -x

y = cos x

Thus, the function is even will be y = sec x and y = cos x.

Then the correct options are C and D.

More about the even function link is given below.

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Answer: c and d

Step-by-step explanation: they’re both even

If college tuition last year was $3300 and this year tuition has increased to $3564 what is the percent of increase?

Answers

college tuition and fees have increased 1,120 ... reports that the rate of increase in college costs has been “four times ... tuition at four-year public universities had increased by 15 percent between 2008 and 2010. ... “But if the costs keep on rising, especially at a time when family ...

Will give brainleast What number is the opposite of -2 1/8

Answers

2 1/8 is the opposite

Jacob the dog eats dry food that contains 324kcal/cup. Jacob eats 3.5 cups a day. The food contains 3.6 g of fat in 100 kcals of energy. what is his daily fat intake?the food contains 25.6 IU of Vitamin D3 in 100 kcals of energy. what is his daily Vitamin D inake?

Answers

Answer:

His daily fat intake is 40.824g.

His daily Vitamin D intake is 290.304 IU.

Step-by-step explanation:

The first step to solve this problem is finding the daily kcal intake of the dogs.

Each cup has 324 kcal, and he eats 3.5cups a day. So:

1 cup - 324 kcals

3.5 cups - x kcals

x = 324*3.5

x = 1134 kcals.

His daily intake is of 1134 kcals.

The food contains 3.6 g of fat in 100 kcals of energy. what is his daily fat intake?

There are 3.6g of fat in 100 kcals of energy. How many g of fat are there in 1134 kcals?

3.6g - 100 kcals

xg - 1134 kcal

100x = 1134*3.6

x = (1134*3.6)/(100)

x = 11.34*3.6

x = 40.824g

His daily fat intake is 40.824g.

The food contains 25.6 IU of Vitamin D3 in 100 kcals of energy. what is his daily Vitamin D inake?

Similar logic as above.

25.6IU - 100 kcals

x IU - 1134 kcal

100x = 1134*25.6

x = (1134*25.6)/(100)

x = 11.34*25.6

x = 290.304IU

His daily Vitamin D intake is 290.304 IU.

The Arizona Department of Transportation wishes to survey state residents to determine what proportion of the population would like to increase statewide highway speed to 75 from 65 mph. At least how many residents do they need to survey if they want to be at least 99% confident that the sample proportion is within 0.07 of the true proportion?

Answers

Answer: 339

Step-by-step explanation:

Since the prior estimate of population proportion is unknown , then we take p= 0.5

Given : Margin of error : E=0.07

Critical value for 99% confidence interval : z_(\alpha/2)=2.576

Formula for sample size :-

n=0.5(1-0.5)((z_(\alpha/2))/(E))^2\n\n=0.25((2.576)/(0.07))^2\n\n=338.56\approx339

Hence, the minimum sample size required = 339

i.e. they need to survey 339 residents.

Final answer:

To be at least 99% confident that the sample proportion is within 0.07 of the true proportion, the Arizona Department of Transportation needs to survey at least 753 residents.

Explanation:

To determine the minimum number of residents needed to survey in order to be at least 99% confident that the sample proportion is within 0.07 of the true proportion, we can use the formula:

n = (Zα/2)2p(1-p) / E2

Where:

  • n is the required sample size
  • Zα/2 is the critical value for the desired confidence level (in this case, 99% confidence)
  • p is the estimated proportion (we assume 0.5 if no estimate is given)
  • E is the maximum allowable error (in this case, 0.07)

Plugging in the values:

  • Zα/2 = 2.576 (from the normal distribution table for a 99% confidence level)
  • p = 0.5 (since no estimate is given)
  • E = 0.07

Calculating n:

n = (2.576)2(0.5)(1-0.5) / (0.07)2 = 752.92

Rounding up to the nearest whole number, the Arizona Department of Transportation needs to survey at least 753 residents to be at least 99% confident that the sample proportion is within 0.07 of the true proportion.

Learn more about Sample Size Determination here:

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