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aivan3 [116]
3 years ago
7

Write a formula for the world population and sketch the graph. In 2007, the world's population reached 6.7 billion was increasin

g at a rate of 1.2% per year. Assume that the growth rate remains constant.
Generalize the expression for the world's population for t years since 2007.

P(t) =
Mathematics
1 answer:
NeX [460]3 years ago
4 0
<span>in 2007, the world's population reached 6.7 billion was increasing at a rate of 1.2% per year. Assume that the growth rate remains constant.

Generalize the expression for the world's population for t years since 2007 is:</span> <span>P(t) = 6,700,000 (1.012)^t </span>
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Find the length of the third side. If necessary, round to the nearest tenth
Lilit [14]

\huge\bold{Given:}

Length of the base = 8

Length of the hypotenuse = 17

\huge\bold{To\:find:}

The length of the third side ''x".

\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}

\longrightarrow{\purple{x\:=\: 15}} 

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}

Using Pythagoras theorem, we have

(Perpendicular)² + (Base)² = (Hypotenuse)²

\longrightarrow{\blue{}} {x}^{2} + (8)² = (17)²

\longrightarrow{\blue{}} {x}^{2} + 64 = 289

\longrightarrow{\blue{}}  {x}^{2} = 289 - 64

\longrightarrow{\blue{}}  {x}^{2} = 225

\longrightarrow{\blue{}}  x = \sqrt{225}

\longrightarrow{\blue{}}  x = 15

Therefore, the length of the missing side x is 15.

\huge\bold{To\:verify :}

\longrightarrow{\green{}} (15)² + (8)² = (17)²

\longrightarrow{\green{}} 225 + 64 = 289

\longrightarrow{\green{}} 289 = 289

\longrightarrow{\green{}} L.H.S. = R. H. S.

Hence verified.

\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♨}}}}}

3 0
3 years ago
Did I do this right? What can I fix?
elena55 [62]
It looks right to me!!
6 0
3 years ago
Luke and isabella make scale drawings.The scale from isabella's drawing is 6 m to 3 cm. The height of the fountain in isabella's
den301095 [7]

Answer:

The answer is "2.5 \ cm"

Step-by-step explanation:

While Luke is 5m to 2cm in size, it implies that every 2cm to Luke's drawing is 5m in real life. That real pond width must therefore be 5 m, given the fountain's width is 2 cm. As shown in the illustration, the step size for IsabelLa from the illustration to real life is \frac{6}{3} =2, which makes it simple to multiply any measure in the cm of her illustration by 2 to accomplish the exact size in m. So, in another direction around, they just have to divide the value by 2, instead of the divide from reality for drawing. So if the actual worth is 5m, it ought to be \frac{5}{2} = 2.5 \ cm in its width.

7 0
3 years ago
Pls answer math<br> need help quick!!<br> look at the attached file below for question
harkovskaia [24]
Remark
I didn't know this was a calculus question. How dumb of me.

f(x + h) - f(x)
==========
x + h  - h

50/6 - 51/6 =( -1/6+ h)/h 
The h's will disappear when the limit is taken.

answer - 1/6 which is A. If anyone else answers take their answer. 


7 0
3 years ago
The sum of 14 and a number is equal to 17
-Dominant- [34]
The sum of 14 and a number  is 14+x

we know that this equals 17, so: 14+x=17. 

Let's substract 14 from both sides: 

x=17-14

x=3

so the number is 3.
8 0
3 years ago
Read 2 more answers
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