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tester [92]
3 years ago
13

What is the fifth term in the geometric sequence?

Mathematics
1 answer:
shepuryov [24]3 years ago
5 0

Answer:

16.

Step-by-step explanation:

nth term = a1r^(n-1)

Here a1 = 1, n = 5 and r = 2/1 = 2.

5th term = 1 * (2)^(5-1)

= 1*2^4

= 16.

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X2 + 3x - 108 = 0<br> What is the answer?
worty [1.4K]

Answer:

The answer is x=9 and/or x = -12

Step-by-step explanation:

This is a quadratic formula meaning that you must take the a value (1) b value (3) and the c value (108) and plug it into the quadratic formula.

\frac{-3±\sqrt{9+4*1*-108} }{2}

which simplifies to -3 add or subtract the sqrt of 441 divided by two.

5 0
4 years ago
Asha and Jamal are selling plants to raise money for their soccer team. They started out with 45 plants. They sold some plants a
sukhopar [10]
ANSWER

C. Both equations will find the correct solution.


EXPLANATION

It was given in the question that, Asha and Jamal started with 45 plants.


We were told that, they sold some plants and now they have 21 plants left.

Let
p
represent the number of plants sold.



Then when we add the number of plants sold and the number left, we should get 45.


This implies that,

21 + p = 45


This is Jamal's equation.


On the other hand, if we subtract the number of plants sold from the total number of plants, we should get 21. Thus,

45 - p = 21

This is Asha's equation.


The two equations are therefore equivalent.



They will give the same solution.


The correct answer is C.


3 0
4 years ago
Read 2 more answers
A brand of uncooked spaghetti comes in a box that is a rectangular prism with a length of 10 inches, a
tankabanditka [31]

Answer:

Surface area means all of the outside areas, kind of like when you wrap a present.

Step-by-step explanation:

1st draw the box and find the area of the top and the bottom of the figure

10 x 3 = 30 for the top and 30 for the bottom, so 60 for both.

2nd find the area of two opposite sides:

10x 4.5 = 45 for one side and 45 for the other side, which is 90 for both

3rd find the area of the last two opposite sides:

3 x 4.5 = 13.5 for one side and 13.5 for the other side, so 27 for both.

4th:  now add all those sides 60 + 90 + 27 = 177 inches squared.

8 0
3 years ago
The relationship between a bacteria population p, in thousands, and time d, in days, since it was measured to be 1,000 can be re
Assoli18 [71]

d = log₂p represents a logarithmic function, The expression log₂(10) tells us when the population reaches 10,000 and the equation 7 = log₂(128) tells us that the population reaches 128,000 in 7 days.

<h3>What is an exponential function?</h3>

An exponential function is in the form:

y = abˣ

Where a is the initial value of y and b is the multiplication factor.

Let p represent the bacteria population in thousand after d days.

Since each day, the bacteria population grows by a factor of 2, hence:

p=2^d

Hence, d = log₂p represents a logarithmic function

The expression log₂(10) tells us when the population reaches 10,000 and the equation 7 = log₂(128) tells us that the population reaches 128,000 in 7 days.

Find out more on exponential function at: brainly.com/question/12940982

8 0
3 years ago
The height of a soccer ball that is kicked from the ground can be approximated by the function:
AfilCa [17]

Answer:

\displaystyle \sqrt{3}\:sec.

Step-by-step explanation:

\displaystyle -54 = -18x^2 → \frac{-54}{-18} = \frac{-18x^2}{-18} \\ \\ 3 = x^2 → \sqrt{3} = x

I am joyous to assist you anytime.

6 0
4 years ago
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