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Mathematics

1 answer:

icang [17]2 years ago

8 0

Answer:

16x X 44 squared

Step-by-step explanation:

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Find the sumofthe geometrical progression of five terms, of which the first term is 7 and the multiplier is 7.Verify that the su

777dan777 [17]

Answer:

The sum of first five term of GP is 19607.

Step-by-step explanation:

We are given the following in the question:

A geometric progression with 7 as the first term and 7 as the common ration.

$a, ar, ar^2,...\\a = 7\\r = 7$

$7, 7^2, 7^3, 7^4...$

Sum of n terms in a geometric progression:

$S_n = \displaystyle\frac{a(r^n - 1)}{(r-1)}$

For sum of five terms, we put n= 5, a = 7, r = 7

$S_5 = \displaystyle\frac{7(7^5 - 1)}{(7-1)}\\\\S_5 = 19607$

The sum of first five term of GP is 19607.

Verification:

$2801\times 7 = 19607$

Thus, the sum is equal to product of 2801 and 7.

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3 years ago

A local petting zoo allows visitors to feed the goats food pellets. The petting zoo starts the month with 525.25 pounds of food

Alisiya [41]

I’m sorry, I wish I knew this one and I would help

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-2y-12 How do I show my work?????

grin007 [14]

Factor - 2y - 12

- 2y - 12

= - 2( y + 6)

answer is - 2( y + 6)

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3 years ago

Which expression is equal to 5^4 x 5^8 ? A: 5^12 B: 5^4 C: 5^2 D: 5^−4

galben [10]

Something to remember is how to multiply terms with same bases, but different exponents:

$a^b \cdot a^c = a^{(b+c)}$

Essentially, we add the exponents.

Using the information above, we can find our answer:

$5^4 \cdot 5^8 = 5^{(4+8)} = \boxed{5^{12}}$

Our answer is $\boxed{5^{12}}$ , or A.

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Order the set of numbers from least to greatest:

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Square root of 5 , then 5/2, then 2.71, then 2 3/4

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3 years ago