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Elanso [62]
3 years ago
12

Ab" that goes through points (0,9) Write an exponential function in the form y and (5,2187)

Mathematics
1 answer:
klasskru [66]3 years ago
4 0

9514 1404 393

Answer:

  y = 9(3^x)

Step-by-step explanation:

We assume you want a function in the form ...

  y = a(b^x)

that passes through points (0, 9) and (5, 2187).

Filling in the given point values, we have ...

  9 = a(b^0) = a

  2187 = a(b^5) = 9(b^5) . . . . using the above value of 'a'

Dividing the second equation by 9 and taking the 5th root, we find b.

  (2187/9) = b^5

  243^(1/5) = b = 3

The exponential function is ...

  y = 9(3^x)

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Which expression represents the series 1+5+25+125+625
solong [7]
So if you want to find the nth term so
1st term=1
2nd term=5
3rd term=25
we notice that 5^1=5 and 5^2=25 , but they are on the second ones so
the expression is

the nth term=5^(n-1)
so 1st term=5^(1-1)=5^0=1
2nd term=5^(2-1)=5^1=5
3rd term=5^(3-1)=5^2=25
and so on


the expression is 5^(n-1)
7 0
3 years ago
Read 2 more answers
Laura sees a horse pulling a buggy. She wonders how it can accelerate if the action of the horse pulling the cart would causes a
KatRina [158]

Answer:

The net forces exerted on the horse and cart are not the same, so they are not balanced forces.

Step-by-step explanation:

Please see the Newton's 2nd Law which states  that an object accelerates if there is a net or unbalanced force on it. In this scenario there is just one force exerted on the wagon i.e: the force that the horse exerts on it. The wagon accelerates because the horse pulls on it. And the amount of acceleration equals the net force on the wagon divided by its mass.

As there are two forces the push and pull the horse; the wagon pulls the horse backwards, and the ground pushes the horse forward. The net force is determined by the relative sizes of these two forces.

If the ground pushes harder on the horse than the wagon pulls, there is a net force in the forward direction, and the horse accelerates forward, and if the wagon pulls harder on the horse than the ground pushes, there is a net force in the backward direction, and the horse accelerates backward.

If the force that the wagon exerts on the horse is the same size as the force that the ground exerts, the net force on the horse is zero, and the horse does not accelerate.

7 0
3 years ago
Read 2 more answers
Can someone please help me on this question
vovikov84 [41]
A. The scientific notation for 50,000,000 is 5 x 10^7 (to the 7th power)

B. After squaring 50,000,000 you'll get <span>2500000000000000. In </span>scientific notation, this is 2.5 x 10^15 (to the 15th power). 

C. I think what it's asking is how I solved part B... this could be wrong, double check it. I solved it by multiplying 50,000,000 x 50,000,000 and then converting the product into scientific notation. 

Hope this helps, if you have more questions, message me or comment under this post!
6 0
4 years ago
The volume of a swimming pool is 4x^3 - 20x^2 + 3x - 15 . what is one of the dimensions of the pool
maxonik [38]

Answer:

Height = x - 5 --- one of the dimension

Step-by-step explanation:

Given

Volume = 4x^3 - 20x^2 + 3x - 15

Required

The side dimension

Factorize the given expression

Volume = 4x^2 (x- 5) + 3(x - 5)

Factor out x - 5

Volume = (4x^2  + 3)(x - 5)

Volume is the product of base area and height'

Hence:

Area = 4x^2 + 3

Height = x - 5

5 0
3 years ago
you get to pick 8 of your 12 favorite songs to put on a cd . how many ways 8 songs be arranged from a choice of 12 songs
Naddik [55]
The answer is 96 ways
6 0
3 years ago
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