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3 years ago

What’s the correct answer?

Mathematics

2 answers:

Sidana [21]3 years ago

6 0

Convert 91% to a decimal:

$91 \div 100 = 0.91$

Multiply the amount of people by this decimal:

$1989 \times 0.91 = 1809.99$

Round the number to the nearest ones value:

1809.99

9 > 5

1809.99 -> 1810

1,810 people have reached the top of Mount Everest.

zlopas [31]3 years ago

6 0

1809.99 is the answer to the question

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<img src="https://tex.z-dn.net/?f=Simplify%3A%20%5Cfrac%7B%205%C3%97%2825%29%5E%7Bn%2B1%7D%20-%2025%20%C3%97%20%285%29%5E%7B2n%7

Katen [24]

$\green{\large\underline{\sf{Solution-}}}$

Given expression is 

$\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} }$

can be rewritten as

$\rm \: = \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} }$

We know,

$\purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\$

And

$\purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\$

So, using this identity, we

$\rm \: = \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} }$

$\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} }$

can be further rewritten as

$\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} }$

$\rm \: = \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)}$

$\rm \: = \: \dfrac{4}{25 - 1}$

$\rm \: = \: \dfrac{4}{24}$

$\rm \: = \: \dfrac{1}{6}$

Hence, 

$\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}$

4 0

2 years ago

Which of the following is equal to 51/3?

oee [108]

51/3 is equal to 17 hope it helps

7 0

2 years ago

Read 2 more answers

Consider the region bounded by

Montano1993 [528]

The equation is a circle centered at the origin with radius 8 (sqrt(64))
Therefore, the bounded region is just a quarter circle in the first quadrant.

Riemann Sum: ∑⁸ₓ₋₋₀(y²)Δx=∑⁸ₓ₋₋₀(64-x²)Δx

Definite Integral: ∫₀⁸(y²)dx=∫₀⁸(64-x²)dx

4 0

2 years ago

Combine the like terms to create a equivalent expression 8r + 7 - 6r -5

Sunny_sXe [5.5K]

Answer:

Step-by-step explanation:

8r - 6r + 7 - 5

2r + 2

8 0

3 years ago

Read 2 more answers

An architect designs a rectangular flower garden such that the width is exactly two-thirds of the length. If 210 feet of antiqu

ra1l [238]

P=Perimeter

W=Width

L=Length

Assuming the 210 feet is the perimeter

P = 210 feet

P = 2W + 2L

W = 2/3 L . . . so sub W with 2/3 L in the equation

P = 2(2/3 L)+ 2(L) = 210 feet

4/3 L + 2L = 210 feet

10/3 L = 210 feet

Multiply both sides by 3/10 to solve for L

L = (210)(3/10) = 63 feet

W = 2/3 L so W = 2/3 x 63 = 42 feet

Garden is 42 feet wide by 63 feet long

7 0

3 years ago