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Masja [62]
4 years ago
7

Write the expression 5³⋅5⁴ using a single base

Mathematics
2 answers:
Mnenie [13.5K]4 years ago
6 0

Answer:

Step-by-step explanation:

If two numbers have the same base, add the powers

5³ * 5⁴ = 5⁽³⁺⁴⁾ = 5⁷

Dafna11 [192]4 years ago
6 0

5^{3} *5^{4}

5^{3+4}

5^{7}

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I think it is question 2, B

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3 years ago
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What is ......<br><br>(23×10)+(23×7)=​
babunello [35]

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391

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(23 x 10) + (23 x 7) =

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5 0
4 years ago
HELP!!!
Hoochie [10]

Answer:

AT = 8\sqrt{2}

Step-by-step explanation:

Using the sine ratio in the right triangle

and sin45° = \frac{1}{\sqrt{2} }

sin45° = \frac{opposite}{hypotenuse} = \frac{AB}{AT} = \frac{8}{AT}

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3 0
3 years ago
A tuition scale for a state university shows an increase of $1,100 each year. If the initial cost was $27,000. What will the cos
oksian1 [2.3K]

If each years cumulate an increase of 1100 dollars, then the cost after 22 years will be the base cost (27000) plus 22 increases (22*1100), for a total of

27000 + 22\cdot 1100 = 27000 + 24200 = 51200

This relates to arithmetic series as follows: a series is arithmetic if, given a starting element x_0, every next element is given by adding a fixed number, called common difference, r. So, the first terms are

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  • a_4 = x_3 + r = (x_0+3r) + r = x_0 + 4r

So, you can see that the element x_n is obtained by adding n times the common ratio to the starting element.

Since the element a_n represents the cost after n years, we are interested in the element

a_{22} = x_0 + 22r = 27000 + 22\cdot 1100 = 512000

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3 years ago
Write a fact with the same sum as 7+ 5.
lisov135 [29]
0+12, 11+1, 4x3, 6x2, etc.
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