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Luden [163]
3 years ago
8

NEED THIS ASAP Simplify 3^2 ⋅ 3^5. A) 3^7 B)3^10 C)9^7 D)9^10

Mathematics
1 answer:
Free_Kalibri [48]3 years ago
8 0

Use\ a^n\cdot a^m=a^{n+m}\\\\3^2\cdot3^5=3^{2+5}=3^7\to\boxed{A)}

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Rational numbers are _____ natural numbers. A) always. B) sometimes. C) never
erma4kov [3.2K]
Rational numbers are B. sometimes natural numbers. Another way to say rational numbers is fractions. Natural numbers are just regular positive and whole integers, such as 1, 2, 3, etc. 
6 0
3 years ago
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If x/y + y/x = -1 , find the value of x^3 - y^3
marin [14]

Answer:

  0

Step-by-step explanation:

Multiplying the first equation by xy, we have ...

  x^2 +y^2 = -xy

Factoring the expression of interest, we have ...

  x^3 -y^3 = (x -y)(x^2 +xy +y^2)

Substituting for xy using the first expression we found, this is ...

  x^3 -y^3 = (x -y)(x^2 -(x^2 +y^2) +y^2) = (x -y)(0) = 0

The value of x^3 -y^3 is 0.

7 0
3 years ago
It takes 8 hours for 4 men to paint a room.
eimsori [14]

Answer:

16 men would be needed to paint the room in 2 hours

Step-by-step explanation:

We can use proportion to solve the problem given, but first we need to determine whether it is a direct or indirect proportion.

If the number of men are increase, the time taken to do the work will decrease, If the number of men are decrease, the time taken to do the work will increase. Therefore, this is an indirect proportion.

We are going to arrange the data inversely.

Let x be the number of men needed to paint the room in two hours

8 hours =  2 hours

    x        = 4 men

Cross-multiply

2×x = 8×4

2x = 32

Divide both-side of the equation by 2

2x/2 = 32/2

x = 16 men

16 men would be needed to paint the room in 2 hours

7 0
4 years ago
Translate the sentence into an equation.
Trava [24]
The equation is (X+9)+6=5
5 0
3 years ago
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Trucks that travel on highways have to stop at various locations to be weighed and inspected for safe brakes and light systems.
IrinaVladis [17]

Answer:

The reuired probability is 0.756

Step-by-step explanation:

Let the number of trucks be 'N'

1) Trucks on interstate highway N'= 76% of N =0.76N

2) Truck on intra-state highway N''= 24% of N = 0.24N

i) Number of trucks flagged on intrastate highway  = 3.4% of N'' = \frac{3.4}{100}\times 0.24N=0.00816N

ii)  Number of trucks flagged on interstate highway  = 0.7% of N' = \frac{0.7}{100}\times 0.76N=0.00532N

Part a)

The probability that the truck is an interstate truck and is not flagged for safety is P(E)=P_{1}\times (1-P_{2})

where

P_{1} is the probability that the truck chosen is on interstate

P_{2} is the probability that the truck chosen on interstate is flagged

\therefore P(E)=0.76\times (1-0.00532)=0.756

5 0
3 years ago
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