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AnnZ [28]
3 years ago
8

Find the product. Simplify using positive exponents. 4⁴ · 4³ 2² · 2⁻⁴

Mathematics
1 answer:
bulgar [2K]3 years ago
5 0

Answer:

Step-by-step explanation:

=4⁴ · 4³

=4^{7}

=16 384

=2² · 2⁻⁴

=2^{-2}

=1/2^{2}

=1/4

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A new Honda Civic costs $ 22 , 000 the year it is made. This car depreciates, losing value at a rate of 5 % each year on average
Delvig [45]

Answer: 3300

Step-by-step explanation: Three years is 15%, 15% of 22,000 is 3,300

I think this is the answer, tell me if it works

4 0
2 years ago
(-8,-2) and (-4,6) write a equation
Dmitry [639]

Answer:

slope of AB=2

AB(distance)=4√5

Step-by-step explanation:

slope of AB=6-(-2)/-4-(-8)

=2

AB=√(-8-(-4))^(2+(-2-6)^(2

=4√5 or 8.94427

next time pls type clearly ur question, because actually I don't know what kind of answer that u want to know. sorry

7 0
3 years ago
A cargo grain leaves Chicago at noon travelling west at 120 km/h. At 2 pm, a passenger train leaves Chicago travelling east at 3
AfilCa [17]

Answer:

a) The trains will be 1520 km apart at 2:40 pm for the cargo train and at 4:40 pm for the passenger train.

b) At that time the cargo train has traveled 560.04 km and the passenger train has traveled 960.12 km.

Step-by-step explanation:

a) First, we need to find the distance traveled by the cargo train in the two hours before the passenger train leaves Chicago:

x_{1} = v_{1}t_{1} = 120 km/h*2h = 240 km                    

Now, we can find the time when the trains will be 1520 km apart:

1520 km = (x_{1} + 240 km) + x_{2}      

Where 1 is for the cargo train and 2 is for the passenger train.

1520 km = (v_{1}*t_{1} + 240 km) + v_{2}t_{2}      

Since we need to calculate the time when the trains are 1520 km apart, t₁ = t₂, so:

1520 km = (v_{1}*t + 240 km) + v_{2}t              

t = \frac{1520 km - 240 km}{120 km/h + 360 km/h} = 2.667h

For the cargo train, it will be 1520 km apart from the passenger train at:

t_{1} = 12 pm + 2 h + 40 min = 2:40 pm

And for a passenger train, it will be 1520 km apart from the cargo train at:

t_{2} = 2 pm + 2 h + 40 min = 4:40 pm  

Hence, the trains will be 1520 km apart at 2:40 pm for the cargo train and at 4:40 pm for the passenger train.  

b) The distance traveled by both trains is given by:

x_{1} = v_{1}*t + 240 km = 120 km/h*2.667 h + 240 km = 560.04 km    

x_{2} = v_{2}*t = 360 km/h*2.667 h = 960.12 km    

Therefore, at that time the cargo train has traveled 560.04 km and the passenger train has traveled 960.12 km.

I hope it helps you!        

5 0
2 years ago
What fraction is shown on the number line?
Alja [10]
The answer should be 7/10!
6 0
3 years ago
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you have 33 math and science problems for homework. you have 7 more math problems than science problems. how many problems do yo
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You have 33 math problems and 26 science.
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