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2 years ago

What is the volume of the prism

Mathematics

1 answer:

Crank2 years ago

8 0

Answer:

it's the same side 4 1/2 in hope that works

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A group of 5 friends decides to rent a vacation house for a month. The monthly rent on the house is $2,250. If each friend pays

Gala2k [10]

Each friend pays $2250/5 = $450 per month as a shared resident.

5 0

2 years ago

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Given the geometric sequence where a1=1 and the common ratio is 6, what is the domain for n?

kari74 [83]

We have been given that a geometric sequence's 1st term is equal to 1 and the common ratio is 6. We are asked to find the domain for n.

We know that a geometric sequence is in form $a_n=a_1(r)^{n-1}$ , where,

$a_n$ = nth term of sequence,

$a_1$ = 1st term of sequence,

r = Common ratio,

n = Number of terms in a sequence.

Upon substituting our given values in geometric sequence formula, we will get:

$a_n=1\cdot (7)^{n-1}$

Our sequence is defined for all integers such that n is greater than or equal to 1.

Therefore, domain for n is all integers, where $n\geq 1$ .

4 0

3 years ago

A segment with endpoints A(2,6) and C(5,9) is partitioned by a point B such that AB and BC form a 3:1 ratio. Find B

Aneli [31]

Answer:

The coordinate of point B is (4, 8.25)

Step-by-step explanation:

Here, we want to find the coordinates of point B

To do this, we are to use the section internal division formula as follows;

(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)

In this case;

(x1,y1) = (2,6)

(x2,y2) = (5,9)

(m,n) = (3,1)

Substituting these values into the section formula, we have;

(x,y) = (1(1) + 3(5))/(1 + 3) , (1(6) + 3(9))/3 + 1)

(x,y) = (16/4, 33/4)

(x,y) = (4,8.25)

3 0

2 years ago

Substitution again help please

Vesnalui [34]

Answer:

Step-by-step explanation:

1) 4x -3

x = -7 ;

4x - 3 = 4*(-7) - 3 = - 28 - 3 = -31

x = 14 ;

4x - 3 = 4*14 - 3 = 56 - 3 = 53

x = 0

4x - 3 = 0 - 3 = -3

2) 6 -3x

x = -7 ;

6 - 3x = 6 - 3*(-7) = 6 + 21 = 27

x = 14

6 - 3x = 6 - 3*14 = 6 - 42 = -36

x = 0

6 - 3x = 6 - 0 = 6

$3) \dfrac{3x - 21}{7}\\\\x = -7\\\\\\\dfrac{3*(-7)-21}{7}=\dfrac{-21-21}{7}=\dfrac{-42}{7}=-6\\\\\\x = 14\\\\\dfrac{3*14-21}{7}=\dfrac{42-21}{7}=\dfrac{21}{7}=3\\\\\\x=0\\\\\dfrac{0-21}{7}=\dfrac{-21}{7}=-3\\\\$

$\dfrac{3x}{7}-21\\\\\\x = -7\\\\\dfrac{3*(-7)}{7}-21=-3-21=-24\\\\\\x =14\\\\\dfrac{3*14}{7}-21=3*2-21=6-21=-15\\\\\\x=0\\\\\dfrac{0}{7}-21=-21$

8 0

1 year ago

A gardener is installing fence around his garden. Let x represent the width of the garden, in feet. The perimeter of the garden

hoa [83]

Answer:

B 3x+2

Step-by-step explanation:

perimiter=2L+2W

P=2(L+W)

if x=width then

P=2(L+x)

P=8x+8

hmm

8x+8=2(L+x)

distribute

8x+8=2L+2x

minus 2x both sides

6x+8=2L

divide both sides by 2

3x+4=L

the length is 3x+4

B is answer

6 0

2 years ago

Read 2 more answers