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LenaWriter [7]
3 years ago
5

Which exponential function goes through the points (1, 8) and (4, 64)?

Mathematics
1 answer:
Mama L [17]3 years ago
6 0
An exponential function can be expressed as:

y=ab^x  we have two points so we can solve

64/8=(ab^4)/(ab^1)

8=b^3

2=b, now we have:

y=a(2^x), using point (4,64)

64=a(2^4)

64=16a

4=a so

y=4(2^x)
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40 tens.how many hundreds
Sladkaya [172]
400. Just add a zero when you're dealing with tens
7 0
3 years ago
A car covered a certain distance at a speed of 24 mph. While returning, the car covered the same distance at a speed of 16 mph.
igomit [66]
Since the distances were the same you can find the average speed directly by adding the speeds then dividing by 2. No need to weight anything.

If we’re considering speed regardless of direction, the average speed is:

(24 + 16) / 2 = 40 / 2 = 20mph

However if direction matters, then one number has to be negative since the directions are opposite:

(24 - 16) / 2 = 8 / 2 = 4mph (in the positive direction)

Depending on the context, either of these could be your answer.
7 0
2 years ago
Read 2 more answers
The size of a TV is measured by its diagonal. You want to buy a TV that has a 32
ANEK [815]

The width of the TV is 27.9 inches

Step-by-step explanation:

Given,

Diagonal of TV = 32 inch

Height of TV = 15.7 inch

The diagonal makes the TV into a right triangle,

Therefore,

Diagonal = hypotenuse = c = 32 inch

Height = perpendicular = a = 15.7 inch

Width = base = b

Using pythagoras theorem

a^2+b^2=c^2\\(15.7)^2+b^2=(32)^2\\246.49+b^2=1024\\b^2=1024-246.49\\b^2=777.51

Taking square root on both sides

\sqrt{b^2}=\sqrt{777.51}\\b=27.88

Rounding off to nearest tenth

b = 27.9 inches

The width of the TV is 27.9 inches

Keywords: Pythagoras theorem, square root

Learn more about square root at:

  • brainly.com/question/2154850
  • brainly.com/question/2367554

#LearnwithBrainly

7 0
3 years ago
b)suppose only 1 in every 1,000 stars in the observable universe has a planetary system. how many planetary system are there? Fi
rosijanka [135]

Answer:

Please read below :)

Step-by-step explanation:

so you have 1 in a 1000, or 1/1000. But you're missing a part of the answer. If you post the whole answer I can give you the correct answer :)

5 0
2 years ago
Respuesta de (-0.5)²
Vladimir79 [104]

Answer:

0.25

Step-by-step explanation:

we have

(-0.5)^2

we know that

-0.5=-\frac{1}{2}

substitute

(-\frac{1}{2})^2=(-\frac{1}{2})(-\frac{1}{2})

Remember that

(-1)(-1)=1\\(-1)(1)=(-1)

so

(-\frac{1}{2})(-\frac{1}{2})=\frac{1}{4}=0.25

5 0
3 years ago
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