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marta [7]
2 years ago
8

Tierra is 5 years older that Rafael. The sum of Rafael's age and twice Tierra's age and

Mathematics
1 answer:
nirvana33 [79]2 years ago
5 0

Answer: 12

Step-by-step explanation:

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Which rule can be used to describe the growth of the y vales of the function y=12^x over each interval from x=-1 to x=3?
valentinak56 [21]
The function is f(x)=12^x. 

This means that as we get from 1 to 2, we have the following values:

f(1)=12^1=12, and f(2)=12^2=12\cdot12.

Similarly, if we check x=3, we have f(3)=12^3=12\cdot12\cdot12.


We can see that as x changes by 1 (with greater values), y increases by a factor of 12.


Answer: multiply by 12
5 0
3 years ago
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One year, the population of a city was 193,000. Several years later it was 162,120. Find the percent decrease.
Fofino [41]
16%. You divide those two numbers and then multiply the answer by 100
4 0
3 years ago
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th
olchik [2.2K]

Answer:

14.52 seconds.

Step-by-step explanation:

We have been given that the height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation y=-16x^2+224x+121. We are asked to find the time, when the rocket will hit the ground.

We know that the rocket will hit the ground, when height will be 0. So to find the time when rocket will hit the ground, we will substitute y=0 in our given equation as:

0=-16x^2+224x+121

Let us solve for x using quadratic formula.

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

x=\frac{-224\pm\sqrt{224^2-4(-16)(121)}}{2(-16)}

x=\frac{-224\pm\sqrt{50176+7744}}{-32}

x=\frac{-224\pm\sqrt{57920}}{-32}

x=\frac{-224\pm240.66574}{-32}

x=\frac{-224+240.66574}{-32}, x=\frac{-224-240.66574}{-32}

x=\frac{16.66574}{-32}, x=\frac{-464.66574}{-32}

x=-0.520804375, x=14.520804375

Upon rounding to nearest 100th of second, we will get:

x\approx -0.52, x\approx 14.52

Since time cannot be negative, therefore, the rocket will hit the ground after 14.52 seconds.

6 0
3 years ago
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What is the approximate perimeter of a semicircle with a radius of 9mm?
Cerrena [4.2K]
Act like it's a whole circle and find the perimeter, then divide by 2.

P = 2 * pi * r

P = 2 * 3.14 * 9

P = 56.52

Now divide by 2:

P = 28.26
3 0
3 years ago
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PLEASE HELP GIVE BRANLIEST!!
Ipatiy [6.2K]

Answer:

1. 2/25

2. 4/15

Step-by-step explanation:

1. P(Y∩X)

Since  P(X) =2/3 , P(Y) =2/5 , and P(X|Y) =1/5, this is a conditional probability.

So  P(Y∩X) = P(Y)P(X|Y) = 2/5 × 1/5 = 2/25

2. P(Y)· P(X)

P(Y)· P(X) = 2/3 × 2/5 = 4/15

7 0
3 years ago
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