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Mariulka [41]
2 years ago
10

What is the value of x, given that the two prisms are similar?

Mathematics
1 answer:
nataly862011 [7]2 years ago
7 0

Answer:

The answer is C so it 40

Step-by-step explanation:

x / 20 =  10 / 5

x/ 20 = 2

x = 2 * 20

x = 40

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HELP 100 POINTS The population of a city is modeled with the function P=250,000e^0.013t​, where t is the number of years since 2
erma4kov [3.2K]
Pretty difficult problem, but that’s why I’m here.
First we need to identify what we’re looking for, which is t. So now plug 450k into equation and solve for t.
450000 = 250000e^0.013t
Now to solve this, we need to remember this rule: if you take natural log of e you can remove x from exponent. And natural log of e is 1.
Basically ln(e^x) = xln(e) = 1*x
So knowing this first we need to isolate e
450000/250000 = e^0.013t
1.8 = e^0.013t
Now take natural log of both
Ln(1.8) = ln(e^0.013t)
Ln(1.8) = 0.013t*ln(e)
Ln(1.8) = 0.013t * 1
Now solve for t
Ln(1.8)/0.013 = t
T= 45.21435 years
Now just to check our work plug that into original equation which we get:
449999.94 which is basically 500k (just with an error caused by lack of decimals)
So our final solution will be in the 45th year after about 2 and a half months it will reach 450k people.
6 0
2 years ago
3x-32=-7×+28. what does x =​
Vitek1552 [10]

Hello!

3x - 32 = -7x + 28

-32 - 28 = -7x - 3x

-60 = -10x

-6 = -x

6 = x

x = 6

I hope this helps you! Have a lovely day!

- Mal

3 0
2 years ago
Read 2 more answers
Which of the following geometric series converges?
Artist 52 [7]

All three series converge, so the answer is D.

The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.

Consider a geometric sequence with the first term <em>a</em> and common ratio |<em>r</em>| < 1. Then the <em>n</em>-th partial sum (the sum of the first <em>n</em> terms) of the sequence is

S_n=a+ar+ar^2+\cdots+ar^{n-2}+ar^{n-1}

Multiply both sides by <em>r</em> :

rS_n=ar+ar^2+ar^3+\cdots+ar^{n-1}+ar^n

Subtract the latter sum from the first, which eliminates all but the first and last terms:

S_n-rS_n=a-ar^n

Solve for S_n:

(1-r)S_n=a(1-r^n)\implies S_n=\dfrac a{1-r}-\dfrac{ar^n}{1-r}

Then as gets arbitrarily large, the term r^n will converge to 0, leaving us with

S=\displaystyle\lim_{n\to\infty}S_n=\frac a{1-r}

So the given series converge to

(I) -243/(1 + 1/9) = -2187/10

(II) -1.1/(1 + 1/10) = -1

(III) 27/(1 + 1/3) = 18

8 0
2 years ago
18 minus 7 x = negative 20.5 What is the value of x? Negative 5 and one-half Negative StartFraction 5 Over 14 EndFraction StartF
alisha [4.7K]

Answer:

x = 5.5  (Fraction 5 and one-half)

Step-by-step explanation:

18 - 7x = -20.5

-18            -18

-7x = -38.5

/-7         /-7

x = 5.5

3 0
3 years ago
John took a 5-mile walk to his friend's house.
lianna [129]

Answer:

2 hours

Step-by-step explanation:

add the time before and after adding 30 mins. (1 hour and 45 minutes/ 2 hours and 15 mins.) then divide by 2

7 0
3 years ago
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