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irina [24]
3 years ago
7

What are the next three terms of the geometric sequence 32, -16, 8, …?

Mathematics
1 answer:
almond37 [142]3 years ago
4 0
To find the common ratio, divide the 2nd term by the first term
-16 / 32 = -0.5....this means u multiply each number by -0.5 to find the next number

8 * -0.5 = -4 <==
-4 * - 0.5 = 2 <==
2 * -0.5 = -1 <==

answer D
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Marc spent 1/4 his monthly budget on food and 3/5 his monthly budget on gasoline he spent 272$ total what was his monthly budget
drek231 [11]
He spends 272 dollars total. That includes 1/4 + 3/5 of his monthly budget.
Which means:
(1/4 + 3/5) * monthly budget = 272 dollars
solving the equation gets you:
monthly budget = 320 dollars
5 0
4 years ago
Read 2 more answers
Liam is making cards from a set of paper with 16 sheets and 12 envelopes if he wants all cards to be identical without any left
geniusboy [140]

Answer:

Liam can make 4 cards

Step-by-step explanation:

A common factor between 16 and 12 is 4

To make the most identical amounts of cards, each card should get 4 sheets and 3 envelops.

The total amount of cards Liam can make is 4.

6 0
3 years ago
A paperweight is shaped like a triangular pyramid. The base is an equilateral triangle. Find the surface area of the paperweight
stich3 [128]

Answer:

The surface area of the paperweight is SA=8.3\ in^2

Step-by-step explanation:

we know that

The surface area of the triangular prism is equal to the area of its triangular base plus the area of its three triangular lateral faces

so

<em>Find the area of its triangular base</em>

SA=\frac{1}{2}(2)(1.7)

SA=1.7\ in^2

<em>Find the area of its three triangular lateral faces</em>

SA=3[\frac{1}{2}(2)(2.2)]

SA=6.6\ in^2

Adds the areas

SA=1.7+6.6

SA=8.3\ in^2

4 0
4 years ago
Write the algebraic expression that represents the following:
Andreyy89
A. 6n - 2

b. 5 - 9/n

c. 1/2(6n/22)

d. 9 - 2(n - 7)

e. 11 - n to the second power
5 0
3 years ago
Jake is studying a small insect population for his science fair project. In the mornings before school he records the insect pop
Masja [62]

Using it's concept, it is found that the average rate of change of this function over the interval of time from 30 days to 60 days is of 0.4 insects per day.

<h3>What is the average rate of change?</h3>
  • The <em>average rate of change</em> of a function f(x) over an interval [a,b] is given by the <u>change in the output divided by the change in the input</u>, that is:

A = \frac{f(b) - f(a)}{b - a}

In this problem:

  • The inputs are of 30 and 60 days, hence a = 30, b = 60.
  • At day 30, there are 20 insects, hence f(a) = 20.
  • At day 60, there are 32 insects, hence f(b) = 32.

Then:

A = \frac{32 - 20}{60 - 30} = 0.4

The average rate of change of this function over the interval of time from 30 days to 60 days is of 0.4 insects per day.

You can learn more about the average rate of change at brainly.com/question/25775946

5 0
3 years ago
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