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labwork [276]
3 years ago
15

K' (-2.5, -0.5) is the imagine of P after a dilation centered at the origin with a scale factor of 1/4. What are the coordinates

of K?
Mathematics
1 answer:
user100 [1]3 years ago
5 0

Answer:

K (- 10, - 2 )

Step-by-step explanation:

To obtain the original coordinates multiply by the reciprocal of \frac{1}{4}

That is multiply the image coordinates by 4

K' (- 2.5, - 0.5 ) → K (-2.5(4), (- 0.5(4) ) → K (- 10, - 2 )

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Ifx <5 and x > C, give a value of c such that there
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Answer:

For c=5 there are not solutions for the compound inequality

Step-by-step explanation:

we know that

In the compound inequality

x < 5 -----> inequality A

x > c -----> inequality B

The solution of the system of inequalities must satisfy inequality A and must satisfy inequality B

so

If c=5

then

There is no solution that satisfies both inequalities simultaneously.

therefore

For c=5 there are not solutions for the compound inequality

4 0
3 years ago
Select the decimal that is equivalent to 1/8
iogann1982 [59]
The answer is 0.125....................................
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Question 9 Of 1000 randomly selected cases of lung cancer, 841 resulted in death within 10 years. Construct a 95% two-sided conf
givi [52]

Answer:

0.818335 ≤ p ≤ 0.86366

Step-by-step explanation:

Given that:

Sample size (n) = 1000

Positive lung cancer = 841

n(p) = 841, p(p) = 841/1000 = 0.841

n(1 - p) = 1000 - 841 = 159

1 - p = 0.159

95% confidence interval

For a 95% confidence interval : z = 1.96

P ± z√p(1-p) / n

0.841 ± 1.96 * √0.841(0.159) / 1000

0.841 - (1.96 * 0.0115636) = 0.818335344

0.841 + (1.96 * 0.0115636) = 0.863664656

0.818335 ≤ p ≤ 0.86366

4 0
3 years ago
The table shows a schedule of inga’s payment plan for a car. inga’s payment plan for the first 3 years year balance monthly paym
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Inga needs 3 more years to pay off the whole amount.

<h3>What is the monthly payment?</h3>

A portion of the monthly payment is called the principal, which is the original amount borrowed.

First year balance = $19,691.28

Monthly payment = $273.49

Annual payment = 273.49×12 = $3281.88

Remaining balance after 1 year = 19,691.28 - 3281.88 = $16,409,4

After 3 years balance = $9845.64

  • Remaining balance after payment (4 years) = 9845.64-3281.88 = $6563.76

  • Remaining balance after payment (5 years)  = 6563.76-3281.99  = 3281.88

  • Remaining balance after payment (6 years) =3281.88-3281.88  = 0

Hence, Inga needs 3 more years to pay off the whole amount.

To know more about monthly payments click the link given below.

brainly.com/question/26353929

7 0
2 years ago
Which statement correctly describes the relationship between △JKL and △J′K′L′?
lana66690 [7]

Answer:

The is answer is the last one.

Step-by-step explanation:

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