1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
VLD [36.1K]
3 years ago
9

Write the prime factorization of 500 in index form.

Mathematics
2 answers:
makvit [3.9K]3 years ago
8 0

Answer:

2^{2} × 5^{3}

Step-by-step explanation:

500

= 2 x 250

= 2 x 10 x 25

= 2 x 2 x 5 x 5 x 5

= 2^{2} × 5^{3}

vovangra [49]3 years ago
4 0

Answer:

#refer to the attachment!!

Factors \:of \:500

\\ \longmapsto 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, and 500.

Prime \:Factorization \:of\: 500

\\ \longmapsto 500=2^{2} × 5^{3}

You might be interested in
A test was given to a group of students. The grades and gender are summarized below A B C TotalMale 5 9 2 16Female 7 11 12 30Tot
faust18 [17]

Probability that the student got a 'C' GIVEN they are female = number of females that got a C in the test/number of females

From the information given,

number of females that got a C in the test = 12

number of females = 30

Thus,

Probability that the student got a 'C' GIVEN they are female = 12/30

We would simplify the fraction by dividing the numerator and denominator by 6. Thus,

Probability that the student got a 'C' GIVEN they are female = 2/5

4 0
1 year ago
Doug bought a new car for 25,
pentagon [3]
This is exponential decay which can be expressed as:

y=ab^t, y=final value, a=initial value, b=rate, t=time

In this case a=25000, r=(100-20)/100=0.8 so

y=25000(0.8^t), so in 4.5 years...

y=25000(0.8^4.5)

y≈$9158.93  (to nearest cent)
3 0
3 years ago
Read 2 more answers
A rectangular yoga mat has a perimeter of 179 inches. The width of the mat is eight less than half the length. Find the width, i
lianna [129]

Answer:

The width is 24.5in

Step-by-step explanation:

The perimeter of the rectangular yoga mat can be found using the formula;

P=2l+2w.

\Rightarrow 179=2l+2w...(1).

It was given that the width of the mat is eight less than half the length.

w=\frac{1}{2}l-8...(2)

We put equation (2) into equation (1) to get;

179=2l+2(\frac{1}{2}l-8).

\Rightarrow 179=2l+l-16.

\Rightarrow 179+16=2l+l.

\Rightarrow 3l=195

Divide both sides by 3;

l=65

We put l=65 into equation 2 to get;

w=\frac{1}{2}\times65-8

w=32.5-8

w=24.5in

4 0
3 years ago
2. What step did Mikayla do wrong when she solved this
Lunna [17]

Mikayla subtracted 4 from both sides in the beginning when she should've added it to both sides to cancel it out on the right. the correct answer should actually be x=1

5 0
3 years ago
Read 2 more answers
M is the midpoint of segment AB. If AM = 4x – 22 and MB = 2x + 14. Solve for x
Bezzdna [24]

Answer:

x=18

Step-by-step explanation:

am=by which means you can make the equations equal each other

4x-22=2x+14

2x=36

x=18

7 0
3 years ago
Other questions:
  • 23
    7·2 answers
  • Evaluate when a = 8 and b = 4. <br><br> ab^2<br> a−b
    13·1 answer
  • What is the value of x?
    15·2 answers
  • what is the value, after 7 years, of a 2014 ford mustang that originally costs $25000.00 if it depreciates at a rate of 8% per y
    5·2 answers
  • In a wood there are 420 silver birch trees, 160 oak trees and 300 wild berry trees. what percentage of the trees are oak trees?
    14·2 answers
  • How does the parametric form help solve qx + rx = s for x ?
    6·1 answer
  • Tessellations that use only one type of regular polygon are called semi-regular tessellations. A. True B. False
    9·1 answer
  • Kyle`s phone bill is $45 per month. how much does he have to pay for half a year of phone service
    9·1 answer
  • A piece of string that is 9.4 meters long is cut into two pieces. One piece is 3 times as long as the other. Find the length of
    6·1 answer
  • Question 9 of 25
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!