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Aleks04 [339]
3 years ago
11

Simplify. Write answer with positive exponents.8^3⋅8^5

Mathematics
1 answer:
QveST [7]3 years ago
3 0

Step-by-step explanation:

By Law of Indices, a^m * a^n = a^(m+n).

Therefore 8³ * 8⁵ = 8^(3+5) = 8⁸.

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If PN=29cm and MN=13 , then PM=?
HACTEHA [7]

*see attachment for the figure referred to

Answer/Step-by-step explanation:

1. PN = 29

MN = 13

PM = ?

PN = PM + MN (Segment addition postulate)

PN - MN = PM (subtract MN from each side)

29 - 13 = PM (substitute)

16 = PM

PM = 16 cm

2. PN = 34, MN = 19, PM = ?

PN = PM + MN (sediment addition postulate)

PN - MN = PM (subtract MN from each side)

34 - 19 = PM (substitute)

15 = PM

PM = 15 cm

3. PM = 19, MN = 23, PN = ?

PN = PM + MN (Segment addition postulate)

PN = 19 + 23 (substitute)

PN = 42 cm

4. MN = 82, PN = 105, PM = ?

PN = PM + MN (segment addition postulate)

PN - MN = PM (subtract MN from each side)

105 - 82 = PM (substitute)

23 = PM

PM = 23 cm

5. PM = 100, MN = 100, PN = ?

PN = PM + MN (Segment addition postulate)

PN = 100 + 100 (substitute)

PN = 200 cm

7 0
3 years ago
What is the solution set for this inequality? |3x+3|≤9 Graph the solution set on the number line.
soldi70 [24.7K]

Answer:

Step-by-step explanation:

because it's an absolute value inequality, there are two inequalities to solve

3x+3 ≤ 9 and 3x+3 ≥ -9, now we solve them separately

x ≤  3 and x ≥ -4, which is -4 ≤ x ≤ 3

8 0
3 years ago
Read 2 more answers
You deposit $20,000 in an account that pays 7.77% annual interest. Find the balance after 2 years when the interest is compounde
Mademuasel [1]

Answer:

The account balance after 24 months will be $23,092.70

Step-by-step explanation:

Given data

P= $20,000

r= 7.77%= 0.077

t= 2 years

A= ?

n= 24

The compound interest formula is

A= P(1+t)^t

Inserting our values to solve for A we have

A= 20000(1+\frac{0.077}{24} )^2^*^2^4\\\\A= 20000(1+0.003 )^2^*^2^4\\\\A= 20000(1.003 )^2^*^2^4\\\A= 20000(1.003 )^4^8\\\A= 20000*1.15463517818\\\A= 23092.7035636\\\A= 23,092.70

5 0
3 years ago
F(x)=5500(1.65) <br> at what percent are the bacteria growing each hour
kodGreya [7K]
So exponenetial growth or decay

it goes like this
f(t)=P(1+r)^t
r=rate of decay or grouth
if r>0 then it is grouth by r
if r<0 then it is decay
i
P=initial amount
so
given
f(x)=5500(1.65)^t
f(x)=5500(1+0.65)^t
0.65>0 so it is growing by 65%
3 0
3 years ago
Audience thinks 30% of Brandon jokes are funny what fraction of Brandon jokes does the audience think are funny
Anvisha [2.4K]

Answer:

3/10

Step-by-step explanation:

Percent is basically the number over 100.

In this case, 30% is equal to 30/100, which can be simplified to 3/10.

Thus, the answer is 3/10 of the audience.

Hope this helps!

6 0
3 years ago
Read 2 more answers
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