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3 years ago

The sum of twenty one and five times a number f is 61

1 answer:

7 0

5f+21=61 first you subtract 21 from 61 which leaves you with 40.
5f=40 you then divide 40 by 5 giving you 8
The answer is 8. Hope this helps!

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What is the term of a 7-term geometric series if the first term is -11 the last term is -45,056 and the common ratio is -4

shutvik [7]

I assume you mean to ask how to find the sum of the seven terms?

You have

$a_2=ra_1$
$a_3=ra_2=r^2a_1$
$a_4=ra_3=r^3a_1$
...
$a_7=ra_6=r^6a_1$

So the sum is

$a_1+ra_1+r^2a_1+\cdots+r^6a_1=a_1(1+r+r^2+\cdots+r^6)=a_1\times\dfrac{1-r^7}{1-r}$

You know that $a_1=-11$ and $r=-4$ , so the sum is equal to

$-4\times\dfrac{1-(-4)^7}{1-(-4)}=-13108$

8 0

3 years ago

The sum of 2 integers is 9. the product of the integers is 14 what are the integers

chubhunter [2.5K]

Answer:

7 and 2

Step-by-step explanation:

7 plus 2 is 9. 7 times 2 is 14.

3 0

3 years ago

A police helicopter descends 128 feet to

rewona [7]

Answer:

h - d = 477 meters

Where: h = original height

d = amount the helicopter descended

The original height of the helicopter is given to be h

Step-by-step explanation:

5 0

3 years ago

fill in the empty spaces ANSWERS 1 21 -7 7 6 24 -1 .5 2.4(5h+10)-3=27 12h+__-3=27 12h+__=27 12h=__ h=__

dalvyx [7]

Answer:

h = 1/2

Step-by-step explanation:

Step 1: Write equation

2.4(5h + 10) - 3 = 27

Step 2: Distribute

12h + 24 - 3 = 27

Step 3: Combine like terms

12h + 21 = 27

Step 4: Subtract 21 on both sides

12h = 6

Step 5: Divide both sides by 12

h = 6/12

Step 6: Simplify

h = 1/2

4 0

3 years ago

How many vertices does a triangular prism have?<br> 4<br> 5<br> 6<br> 9

matrenka [14]

Answer:

When three edges meet, they form a point, which is called a vertex (the plural of vertex is vertices). A triangular prism has 5 faces, 9 edges, and 6 vertices.

Step-by-step explanation:

8 0

3 years ago

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