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Vlada [557]
3 years ago
13

Amie collects data on the fuel efficiency, in miles per gallon, and the mass, in kilograms, of

Mathematics
1 answer:
DENIUS [597]3 years ago
5 0

Answer:

For every 100-kilogram increase in mass, the fuel efficiency of car decreases by about 1.1 miles per gallon.

Step-by-step explanation:

Fuel efficiency after x kg in mass:

y = 43.28 -0.011x

Thus, the slope is of -0.011 per x kg.

Increase of 100:

When x = 100, as the slope is negative, the efficiency will decay by:

-0.011*100 = -1.1

Decay of 1.1 miles per gallon, so the answer is:

For every 100-kilogram increase in mass, the fuel efficiency of car decreases by about 1.1 miles per gallon.

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75 = 4(2)^x
Valentin [98]

Answer:

4.229

Step-by-step explanation:

75 = 4(2)^x

75/4 = 2^x

Apply ln both sides

ln(75/4) = ln(2^x)

ln(75/4) = x ln(2)

x = ln(75/4) ÷ ln(2)

x = 4.22881869

3 0
3 years ago
A shirts price was $32, on 6% mark, what is the new price of the shirt
allochka39001 [22]

Answer:

19.20

Step-by-step explanation:

.6 is 6%. X 32

8 0
3 years ago
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A bus traveled 300 miles in 6 hours. How many miles would the bus travel in 1 hour
alexira [117]
Step 1
300/6
Step 2 
answer=50
7 0
3 years ago
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PLEASE HELP!!!!
saveliy_v [14]

Answer:

Hi there!

Your answers are:

1) 38^10

2) 20^3

Step-by-step explanation:

1) Theres a property that goes like this:

(x^m)^n = x^mn

When you do a power of a power, you multiply them together!

2) There's a property that looks like this:

x^ m / x^n = x^ m-n

When dividing exponents, subtract!

Hope this helps!

8 0
3 years ago
Which of the following is a correct equation for the line passing through the
11Alexandr11 [23.1K]

Answer:

C

Step-by-step explanation:

m = -3

y = mx +b

y = -3x + b

Plugin x = -1 and y = 4

4 = -3*(-1) +b

4 = 3 + b

4-3 = b

b = 1

y = -3x + 1

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2 years ago
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