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AveGali [126]
3 years ago
13

Plz help!!!

Mathematics
1 answer:
kvv77 [185]3 years ago
6 0

Answer:

Step-by-step explanation:

Here, y = 10 million = 10000000

10000000 = \frac{1}{2}*(1.21)^x

Simplifying and taking natural log on both sides:

ln(20000000) = x*ln(1.21)

x = 88.19 years

The number of snowboarders will be 10 million for the first time in year 2076.

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To rent a canoe costs $15 for the first hour and $12 for each additional hour or fraction of an hour. Which point is NOT include
pogonyaev

Answer:

A

Step-by-step explanation:

(2.5,39)

8 0
3 years ago
The left and right pages of an open book are two consecutive integers whose sum is 359. Find these page numbers
ZanzabumX [31]

179 and 180

consecutive numbers have a difference of 1 between them

let the 2 numbers be n and n + 1, then

n + n + 1 = 359

2n + 1 = 359 ( subtract 1 from both sides )

2n = 358 ( divide both sides by 2 )

n = 179 and n + 1 = 179 + 1 = 180

the 2 pages are 179 and 180



6 0
3 years ago
Use the rules of exponents to evaluate or simplify. Write without negative exponents. 1/4^-1/2 = ___ a0
Nastasia [14]

For this case we have, by definition:


a^{-b} =\frac{1}{a ^ b}

So, we have:


\frac{1}{4}^{-\frac{1}{2}}=\frac{1}{(\frac{1}{4})^{\frac{1}{2}}}

On the other hand we have that by definition:


a^{\frac{1}{2}}=\sqrt{a}

Thus, the expression can be written as:


\frac{1}{\sqrt {\frac{1}{4}}} =

\frac{1}{\frac{1}{\sqrt{4}}}

\frac{1}{\frac{1}{2}}

\frac{1*2}{1*1}=2

So, we have:


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

Answer:


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


4 0
3 years ago
WILL GIVE BRAINLIEST ANSWER TO WHOEVER ANSWERS FIRST AND CORRECT PLEASE EXPLAIN WHY YOU ARE CORRECT
Sholpan [36]

Answer:

In a typical kite as shown in picture, it is symmetric around PQ and PQ is perpendicular with RN.

=> Two right triangles PNT and PRT are congruent.

=> angle PRT = angle PNT = 34 deg

=> angle RPT = 90 - angle PRT = 90 - 34 = 56 deg

=> Option A is correct.

Hope this helps!

:)

4 0
3 years ago
Read 2 more answers
In trapezoid ABCD, AC is a diagonal and ∠ABC≅∠ACD. Find AC if the lengths of the bases BC and AD are 12m and 27m respectively.
xz_007 [3.2K]

Answer:

Length of diagonal is 18 m

Step-by-step explanation:

Given in trapezoid ABCD. AC is a diagonal and ∠ABC≅∠ACD. The lengths of the bases BC and AD are 12m and 27m. We have to find the length of AC.

Let the length of diagonal be x m

In ΔABC and ΔACD

∠ABC=∠ACD      (∵Given)

∠ACB=∠CAD      (∵Alternate angles)

By AA similarity theorem, ΔABC~ΔACD

∴ their corresponding sides are proportional

\frac{x}{27}=\frac{12}{x}=\frac{AB}{CD}

Comparing first two, we get

⇒ \frac{x}{27}=\frac{12}{x}

⇒ x^2=27\times 12

⇒ x=\sqrt324=18

hence, the length of diagonal is 18 m



4 0
3 years ago
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