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TiliK225 [7]
3 years ago
13

Find the fifth term in the geometric

Mathematics
1 answer:
OlgaM077 [116]3 years ago
8 0

Answer:

<h2>          a₅ = 162</h2>

Step-by-step explanation:

The nth term in the geometric sequence:  a_n=a_1\cdt r^{n-1}

a₁ = 2  and  r = 3

So:

    a_5=a_1\cdot r^4=2\cdot3^4 = 2\cdot81=162

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Simplify 4 to the 7th over 5 squared all raised to the 3rd power.
Nikolay [14]
\bf \left( \cfrac{4^7}{5^2} \right)^3\impliedby \textit{first, let's distribute the exponent}&#10;\\\\\\&#10;\left( \cfrac{4^{7\cdot 3}}{5^{2\cdot 3}} \right)\implies \cfrac{4^{21}}{5^6}&#10;\implies \cfrac{4398046511104}{15625}
4 0
3 years ago
A student is making cookies for a bake sale. He sells 8 snickerdoodles and 12 chocolate chip
lions [1.4K]

Answer:

Snickerdoodles are 0.22$ each and chocolate chip are 0.43$ each

Step-by-step explanation:

using the information in the problem, you can make 2 separate equations: 8x+12y=6.92 and 5x+5y=3.25, let x= the cost of a snickerdoodle and y= the cost of a chocolate chip cookie.

With the 2 equations, we can isolate the y variable of the first equation and simplify which will give us y= -2/3x +6.92/12.

You can now take that equation and plug it into equation number 2:

5x+5(-2/3x + 6.92/12)=3.25.

solve that equation by multiplying 5 through the brackets: 5x-10/3x+34.6/12=3.25

add common terms: 5/3x=4.4/12

find the value of x, you will get x=0.22

plug the value of x (0.22) into one of your equations and solve for the y-value

8 0
3 years ago
Given a trapezoid with a height of 4.3m and bases of 9.2 m and 3.2m, what is the area of the trapezoid? Do not include units in
77julia77 [94]

For  a height of 4.3m and bases of 9.2 m and 3.2m, the area of the trapezoid  is mathematically given as

A=26.7

<h3>What is the area of the trapezoid?</h3>

Generally, the equation for the trapezoid   is mathematically given as

A=0.5*(a+b)*h

Therefore

A=0.5*(3.2+9.2)*4.3

A=26.7

In conclusion,area of the trapezoid

A=26.7

Read more about Arithmetic

brainly.com/question/22568180

7 0
2 years ago
How do you solve 3 x 3 1/3
Butoxors [25]

Answer:

10

Step-by-step explanation:

Turn 3 1/3 into an improper fraction.

(3*3) + 1 = 10/3    so 10/3 is the same as 3 1/3

Turn the 3 into an improper fraction of 3/1

Now multiply 10/3 * 3/1  multiplying straight across: 10*3/3*1=30/3=10

4 0
4 years ago
PLEASE HELP ME I NEED HELP DESPERATELY!!!!
IceJOKER [234]
I hope this helps, pls tell me if my way of answering is wrong
Answer:
2x-3y=4
x-2y=4
5 0
3 years ago
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