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soldi70 [24.7K]
1 year ago
11

you are trying to upload a photo for your school picture,but you need to reduce the size of the photo by a quarter of its origin

al size. Which is the correct power that will reduce the picture by a quarter?A: 2^2B: 2^4C: 2^-2D: 2^-4
Mathematics
1 answer:
Free_Kalibri [48]1 year ago
4 0

the scale factor is 1/4, which is equivalent to:

\frac{1}{4}=\text{ }\frac{1}{2^2}=2^{-2}

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Could someone help and explain their answer? (NO LINKS!)<br> Thanks!
Nonamiya [84]

Answer:

5

Step-by-step explanation:

To find the prime factorization of a number, start by dividing the number by each prime number that you can divide by as many times as possible, starting with the smallest prime number and moving up. Then move on to the next prime number. The last division must give a quotient of 1. Then the prime factorization is the product of all the prime factors you divided the number by.

Here's how you use this method with 180.

Here are the first 10 prime numbers:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29

Start by trying to divide by 2. 180 is divisible by 2.

180/2 = 90       90 is divisible by 2.

90/2 = 45         45 is not divisible by 2, so now try 3.

45/3 = 15          15 is divisible by 3.

15/3 = 5            5 is prime, so it is divisible by 5.

5/5 = 1              The divisors in bold are the prime factors of 180.

180 = 2 × 2 × 3 × 3 × 5

180 = 2² × 3² × 5

Answer: 5

3 0
3 years ago
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Round 10.245 to the place that 2 is underlined
cricket20 [7]
10.20
BECAUSE IF YOU ROUND THE TENTHS 4 MEANS 0.  
6 0
3 years ago
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An equation in the form ax2+bx+c=0 is solved by the quadratic formula. The solution to the equation is shown below.x=−7±√ "572"
7nadin3 [17]

Answer:

B: a = 1, b= 7, c = -2

Explanation:

\sf Quadratic \ Equation : \dfrac{-b\pm \sqrt{b^2 - 4ac} }{2a}

Knowing This:

<u>solve for b</u>

  • -b = -7
  • b = 7

<u>solve for a</u>:

  • 2a = 2
  • a = 1

<u>solve c</u>:

  • b² - 4ac = 57
  • 7² - 4(1)(c) = 57
  • -4c = 57 - 49
  • -4c = 8
  • c = 8/-4 = -2
4 0
2 years ago
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(01.03 MC)<br> Which of the following is a step in simplifying the expression<br> (Xy^4/x^-5y^5)^3
Sati [7]

\displaystyle\tt\left(\frac{xy^4}{x^{-5}y^5}\right)^{-3} =\frac{x^{-3}y^{4\cdot(-3)}}{x^{-5\cdot(-3)}y^{5\cdot(-3)}}=\boxed{\tt\frac{x^{-3}y^{-12}}{x^{15}y^{-15}}}

4 0
3 years ago
What is the value of k used to find the coordinates of a point that partitions a segment into a ratio of 5:3. Please Explain.
Dafna11 [192]

Answer:

The value of k is 5/8

Step-by-step explanation:

The value of k is found by dividing the numerator of the original ratio, 5, by the sum of the numerator and denominator of the ratio

When finding a point, P, to partition a line segment AB into the ratio a/b, we find a ratio c = a / (a + b)

According to this formula we find the value of k.

k = a/(a+b)

where a = 5

b = 3

Now plug the values in the formula:

k = 5/(5+3)

k = 5/8 ....

4 0
3 years ago
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