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xz_007 [3.2K]
3 years ago
6

Roxanne's car used 4.8 gallons of gasoline to drive 124 miles. If Roxanne has 180 more miles to go, which is closest to the addi

tional number of gallons of gasoline the car will use to complete the trip?
Mathematics
1 answer:
Reika [66]3 years ago
3 0
She would use 6 i believe
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A large open meadow near your city is shrinking in size because developers have started building new homes there.
valentinak56 [21]

Answer:

    t=-10\log 0.32

Explanation:

<u>Equation:</u>

         A=1,562.5\times 10^{(-0.1t)}

This is a decaying exponential function, because the exponent is negative.

Then, the larger the value of t (number of months), the smaller A (the number of hectares).

The factor 1,562.5 is the initial number of hecares, when t = 0.

You must find the value of t when A equals 500, thus solve the equation:

     500=1,562.5\times 10^{(-0.1t)

Divide both sides by 1,562.5

     \dfrac{500}{1,562.5}=10^{(-0.1t)}

    0.32=10^{(-0.1t)}

Take base-10 logarithms on both sides:

    \log 0.32=-0.1t

    t=-\dfrac{\log 0.32}{0.1}\\\\\\t=-10\log 0.32

Note that the logarithm of a number decimal number is negative number, thus t will be positive. When you compute that, it is about 4.9 months.

8 0
3 years ago
What function family does Y=1/3x – 7 belong to?
grigory [225]

Answer:

Hey there!

Y=1/3x-7 is a linear function, the highest power is the 1st power

Hope this helps :)

4 0
3 years ago
3.01 repeating as a mixed number in simplist <br> form
ziro4ka [17]

Answer:

3 1/100 is the answer.

Step-by-step explanation:

5 0
3 years ago
Need answer asap!<br> 3a + 4b = 1 - 2c/d<br> solve for c.
Aleonysh [2.5K]

Answer:

-3ad/2 -2bd = c

Step-by-step explanation:

3a + 4b = 1 - 2c/d

⇒3ad + 4bd = d - 2c         [multiply d on both sides]

⇒3ad + 4bd - d = -2c         [subtract d on both sides]

⇒3ad/(-2) + 4bd/(-2) = c      [divide -2 on both sides]

⇒-3ad/2 -2bd = c

3 0
3 years ago
The amount Q of water emptied by a pipe varies directly as the square of the diameter d. A pipe 5 inches in diameter will empty
Wittaler [7]

Answer:

Q= 8

The amount emptied is 8 gallons of water

Step-by-step explanation:

First we need to create the equation for the above statement.

Q is directly proportional to the square of d

Q= kd²

Q= 50

d= 5

50= k5²

50 = k25

K = 50/25

K = 2

K is the constant of proportionality.

Now our equation is

Q= 2d²

Where Q = volume in gallons

d = pipe diameters in inch

For a pipe of diameter 2 inch

The amount of gallons of water emptied assuming the same kinf of flow is

Q= 2d²

Q= 2(2)²

Q= 2(4)

Q= 8

The amount emptied is 8 gallons of water

5 0
3 years ago
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