A gorilla population is decreasing at a rate of 8% every year. What is the decay factor for this situation?

Answer:

Step-by-step explanation:

6+12+18+....6n=3n(n+1)

Proof by induction

True for n = 1

6 = 3(1)(1+1)

Assume true for n = k

6+12+18+....6k=3k(k+1)

Then show that

6+12+18+....6(k+1)= 3(k+1)(k+1+1)

We add 6(k+1) to both sides of

6+12+18+....6k=3k(k+1)

6+12+18+....6k +6(k+1) =3k(k+1) + 6(k+1)

= 3(k+1)(k + 2)

= 3(k+1)(k+1+1)

So true for n = k+1

Since true for n=1 it is true for n=2,3,...

Thus true for all natural numbers n by mathematical induction

Answer:

its 1

Step-by-step explanation:

10-9 = 1

Answer:

x = 7

Step-by-step explanation:

x + 8 = 15

7 + 8 = 15

15 = 15

LHS = RHS

Answer:

225 ft²

Steps:

(20×10)+5² = 200+25 = 225 ft²

Answer: 225ft^2

Step-by-step explanation:

Answer:

113 inches

Step-by-step explanation:

13 times 9 is 117 inches (this is the area for the whole cake)

2 times 2 is 4 (this is just the middle)

But since the brother ate the middle you will have to subtract the area of the middle piece from the whole area.

117-4 is 113 so the area now is 113 inches

Answer:

C x>3

Step-by-step explanation:

Answer:

The answer is (C) x>3

Step-by-step explanation:

Well first just solve it normally like an equation, ignore the sign for now.

-5x+20<5

Isolate the x so we subtract 20 on both sides

-5x<-15

Now divide by -5 to isolate 5 from X

x>3

You switch the sign because whenever you divide or multiply a negative number to isolate x, the sign reverses.

Answer:

B

Step-by-step explanation:

the answer is B.the equation of the line

Answer: 900

Step-by-step explanation:

The number of seconds it will take both the crew together to make 38 sandwiches is 900.

The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.

The time taken by the afternoon crew to make a sandwich is 45 seconds. The time taken by the evening crew to make a sandwich is 50 seconds. Taking the LCM of the timing of the two crew, to know at what time they both will finish making a sandwich together.

LCM of 45 and 50 is 450.

Therefore, the number of sandwiches made by the afternoon crew in 450 seconds is 10, while the number of sandwiches that will be made by the evening crew is 9. Thus, in a time period of 450 seconds, both crews together will make 19 sandwiches.

Now, since it takes 450 seconds to make 19 sandwiches the time it will take to make double the number of sandwiches therefore, 38 sandwiches will also be double.

Hence, the number of seconds it will take both the crew together to make 38 sandwiches is 900.

Learn more about LCM:

https://brainly.com/question/20739723

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Answer:

Answer: The length of string from kite to the ground is 111.5 feetStep-by-step explanation:Given ... of the ground, and its string is pulled tout. The angle of elevation of the kite is 43. Find the length of the string. Round your answer to the ... The height from the ground at which kite is flying = BC = h = 76 feet.

Step-by-step explanation:

Answer:

The answer is 1710

Step-by-step explanation:

To find the volume of a shape, multiply the length by width by height.

V = LxWxH

Answer:

810in^3

Step-by-step explanation:

(6*19)/2 = 54

54*15 = 810

Answer:

The answer would be the third one (12,0)

Answer:

1. 4 and 3/5

2. 3 and 1/6

Step-by-step explanation:

thats about it

Answer:

1. 4 3/5 or 4.6   2.  3 1/6

Step-by-step explanation:

Answer:

330

Step-by-step explanation:

Hello There!

The shown figure is a trapezoid with the following dimensions:

Height - 11m

Base 1 - 41m

Base 2 - 19m

Given this information we need to find the area

Remember the formula for the area of a trapezoid is

[tex]A=\frac{a+b}{2} h[/tex]

where a and b are bases and h is the height

Because we are given all of the information needed to calculate the area all we have to do is plug in the values into the formula

So...

[tex]A=\frac{19+41}{2} 11\\19+41=60\\\frac{60}{2} =30\\30*11=330\\A=330[/tex]

In conclusion the area of the figure is 330 square units

Step-by-step explanation:

hope it helps

have a great day!!

Answer:

D. 49.35

Step-by-step explanation:

[tex]\frac{4935}{100 X 100}[/tex] X 100 = 49.35

...It's A on Ap3x......

Answer:

B.) y - 6 = -8/5(x + 2)

Step-by-step explanation:

Remember in order to find the slope intercept form on 2 points, you need these equations: [tex]\frac{x_2 -x_1}{y_2 -y_1}[/tex] and [tex]y-y_1=m(x-x_1)[/tex]

To find the slope, you will need to use the first equation. In this case the equation will look like this: [tex]\frac{(-2)-6}{3-(-2)}=-\frac{8}{5}[/tex]

Then use the second equation, plug in the numbers, and you will get B as your answer

Answer:

y = 10

x = 17

Step-by-step explanation:

4y - 3 = 37

4y = 37 + 3

4y = 40

y = 40 / 4

y = 10

3x - 9 = 42

3x = 42 + 9

3x = 51

x = 51 / 3

x = 17

Hope that helps!

Answer:

x = 17

y = 10

Step-by-step explanation:

Parallel sides are equal in length, so set them equal to each other.

3x - 9 = 42 --> Add 9 to both sides.

3x = 51 --> Divide both sides by 3.

x = 17

4y - 3 = 37 --> Add 3 to both sides.

4y = 40 --> Divide both sides by 4.

y = 10

Answer:

= 6+8+6+6+8+6+3+8++3+8

10

= 62

10

= 6.2

Step-by-step explanation:

thanks pls mark as brainliest

Answer:

1,578

Step-by-step explanation:

I took the test

Answer:

1. 12.20

2.8.9

3.31.4

4.13.9

5. 21.93

6. some of it is cut off.

Step-by-step explanation:

a^2+b^2=c^2

Answer:

84

Step-by-step explanation:

What I did was simple. I just plugged it into my calculator and let it get to work. If you don't have a calculator, use your phone or computer. There should be calculators on both of these.

Please let me know if you need any more help. Hope this helps!

Answer:

13 cm i think.

Step-by-step explanation:

Answer:

teal?

Step-by-step explanation:

Answer:

Black , Blue or White

Step-by-step explanation:

Answer:  6000ft2

Step-by-step explanation: Multiply 15*20*20 to find the area of a figure.

Answer:

6

Step-by-step explanation:

First subtract the fixed fee. 59-5=54

Divide 54 by 9.  

6