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denis-greek [22]
3 years ago
5

Helma wants to find the volume of the right rectangular prism shown below. Which equation could Helma use to find V, the volume

of the rectangular prism in cubic centimeters? A. V = 30 · 16 + 12 B. V = 30 · 16 · 12 C. V = 30 + 16 + 12 D. V = (30 · 16 · 12) ÷ 2
Mathematics
1 answer:
sleet_krkn [62]3 years ago
5 0
V = 30*16*12. To find the volume of a rectangular prism, you just multiply the area of the base (side 1 * side 2) by the height of the prism.
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Which formula can be used to find the nth term of a geometric sequence where the fifth term is 1/6 and the common ratio is 1/4?
OlgaM077 [116]

Answer:

a_n = 16(\frac{1}{4})^{n - 1}

Step-by-step explanation:

Given:

Fifth term of a geometric sequence = \frac{1}{16}

Common ratio (r) = ¼

Required:

Formula for the nth term of the geometric sequence

Solution:

Step 1: find the first term of the sequence

Formula for nth term of a geometric sequence = ar^{n - 1}, where:

a = first term

r = common ratio = ¼

Thus, we are given the 5th term to be ¹/16, so n here = 5.

Input all these values into the formula to find a, the first term.

\frac{1}{16} = a*\frac{1}{4}^{5 - 1}

\frac{1}{16} = a*\frac{1}{4}^{4}

\frac{1}{16} = a*\frac{1}{256}

\frac{1}{16} = \frac{a}{256}

Cross multiply

1*256 = a*16

Divide both sides by 16

\frac{256}{16} = \frac{16a}{16}

16 = a

a = 16

Step 2: input the value of a and r to find the nth term formula of the sequence

nth term = ar^{n - 1}

nth term = 16*\frac{1}{4}^{n - 1}

a_n = 16(\frac{1}{4})^{n - 1}

3 0
2 years ago
Solve for x<br> C. 120<br> 2x<br> 3x<br> D. (2x+6)<br> X<br> 126
brilliants [131]

Answer:

x=32

Step-by-step explanation:

i took the test

4 0
2 years ago
What's 2x+3y=6 and x-3y=9?
Vedmedyk [2.9K]
Set up a system of equations:

2x+3y=6
x-3y=9

You can solve this with elimination by adding the two equations together:

3x+0y = 15
3x=15
x=5

Then, plug this value back into either of the original equations to find the y value:

5-3y=9
-3y=4
y= -4/3

The point of intersection is (5,-4/3)
4 0
3 years ago
Plzzz explain this question in detail​
Svet_ta [14]

Step-by-step explanation:

hi sis !! please ask me if u dont understand

6 0
3 years ago
Plz help, And no links please
Talja [164]
I did not get any zeros since the graph doesn’t cross the x axis, meaning that there are no rational zeros

However, here is the method u can use to find the zeros lol


You can use the quadratic formula in order to get the zeros

This is the equation therefore use these values
ax^2+bx+c=0

A=1
B= -5
C=12

The quadratic formula is -b±√(b^2-4ac))/2a (I left a picture just in case)

6 0
3 years ago
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