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postnew [5]
3 years ago
12

What is the positive difference between the square of the sum of the first five positive integers and the sum of the first five

positive perfect squares?
Mathematics
1 answer:
omeli [17]3 years ago
7 0

Answer:

<h2>200</h2>

Step-by-step explanation:

The square of the sum of the first five positive integers:

(1 + 2 + 3 + 4 + 5)² = 15² = 225

The sum of the first positive perfect square:

1² + 2² + 3² + 4² + 5² = 1 + 4 + 9 + 16 + 25 = 55

225 - 55 = 200

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2 ways to decompose the number 749
kolezko [41]
Okay. You can decompose 749 with these ways:
700 + 40 + 9
or
500 + 200 + 40 + 9
6 0
3 years ago
The number 512 is a perfect cube because 512 = 83.
alexgriva [62]

Step-by-step explanation:

the number which is a perfect cube :

125, because 125 = 5³

3 0
3 years ago
Read 2 more answers
Which of the following are not polynomials
Hoochie [10]

Answer:

A, C, F.

Step-by-step explanation:

A polynomial consists of an expression that involves only non-negative integer exponents for the variable; in all of your cases, the variable is x.

So, expression A has a square root of x, that is a rational exponent.

Expression C has variables in the denominators, that is negative exponent.

Expression F has variable at the exponent.

8 0
3 years ago
Read 2 more answers
Mr. Jones jogs the same route each day. The amount of time he jogs is inversely proportional to his jogging rate.
german

Answer is option C

Mr. Jones jogs the same route each day. The amount of time he jogs is inversely proportional to his jogging rate.

time= \frac{k}{rate}

k is the constant of proportionality

We check with each option and identify which option gives us same K value

(a) 4 mph for 2.5 hours and 6 mph for 3.75 hours

2.5= \frac{k}{4} so k = 10

3.75= \frac{k}{6} so k = 22.5

K values are not same

(b) 3 mph for 2 hours and 4.5 mph for 3 hours

2= \frac{k}{3} so k = 6

3= \frac{k}{4.5} so k = 13.5

K values are not same

(c) 4 mph for 2.5 hours and 5 mph for 2 hours

2.5= \frac{k}{4} so k = 10

2= \frac{k}{5} so k =10

K values are  same .

Answer is option C


3 0
3 years ago
At what interest rate must you invest $4500 to have $7,000 after 6 years, if the interest is compounded quarterly?
labwork [276]

Answer:

The amount is $8358.7 and the interest is $3858.7.

Step-by-step explanation:

Explanation

STEP 1: To find amount we use formula:

A=P(1+rn)n⋅t

A = total amount

P = principal or amount of money deposited,

r = annual interest rate

n = number of times compounded per year

t = time in years

In this example we have

P=$4500 , r=7% , n=2 and t=9 years

After plugging the given information we have

AAAA=4500(1+0.072)2⋅9=4500⋅1.03518=4500⋅1.857489=8358.7

STEP 2: To find interest we use formula A=P+I, since A=8358.7 and P = 4500 we have:

A8358.7II=P+I=4500+I=8358.7−4500=3858.7

4 0
3 years ago
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