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Kobotan [32]
3 years ago
10

For a particular cargo train, the amount of fuel needed for a trip varies directly with the number of miles it plans on travelin

g. If it needs 300 gallons of fuel for a 100-mile trip, how much fuel does it need for a 750-mile trip?
2100 gallons


2150 gallons


2200 gallons


2250 gallons
Mathematics
2 answers:
Romashka [77]3 years ago
6 0
Hello! This answer desnt have work on it which I apologize about. But the answer is 2250!
Katyanochek1 [597]3 years ago
4 0
2250 gallons. You have to think of the ratio. 300•750=225000
225000/100=2250
You have to do cross multiplication
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State the domain restriction(s) in interval notation of \displaystyle f\left(g\left(x\right)\right)f(g(x)) given: \displaystyle
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Answer:

The interval notation for the domain is [\frac{23}{3},\infty  ].

Step-by-step explanation:

Consider the provided information.

It is given that \:f\left(x\right)=\sqrt{3x-2},\:\text{ and }\:g\left(x\right)=x-7

We need to find the value of f\left(g\left(x\right)\right).

Put the value of g(x) in  f\left(g\left(x\right)\right).

f\left(g\left(x\right)\right)=f(x-7)  ....(1)

Now, put x=x-7 in \:f\left(x\right)=\sqrt{3x-2}

\:f\left(x-7\right)= \sqrt{3(x-7)-2}

\:f\left(x-7\right)= \sqrt{3x-21-2}

\:f\left(x-7\right)= \sqrt{3x-23}

From equation 1.

f\left(g\left(x\right)\right)=\:f\left(x-7\right)= \sqrt{3x-23}

The domain of the function is the set of input values for which a function is defined.

Here, the value of 3x-23 should be greater or equal to 0 as the square root of a negative number is not real.

Domain= 3x-23\geq0

x\geq\frac{23}{3}

The value of x is all real number greater than \frac{23}{3}.

Hence, the interval notation for the domain is [\frac{23}{3},\infty  ].

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VashaNatasha [74]

Answer:

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Step-by-step explanation:

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(b)

\text{Given that,}\\\\y=f(t)\\\\\text{Slope of  y,} ~~ f'(t) =-\dfrac 3{(t-8)^{\tfrac 32}}\\\\\text{At point  (33, 6/5)}\\\\\\f'(t) = -\dfrac 3{(33-8)^{\tfrac 32}} = - \dfrac 3{ (25)^{ \tfrac 32}} = - \dfrac 3{5^3} = -\dfrac 3{125}\\\\\\\text{Equation with given points,}\\\\y - \dfrac 65 = -\dfrac 3{125} ( t - 33)\\\\\\\implies y =-\dfrac 3{125} t +\dfrac{99}{125} + \dfrac 65\\\\\\\implies y = -\dfrac 3{125} t +\dfrac{249}{125}

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Step-by-step explanation:

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3 years ago
formula is given along with the values of all but one of the variable. Find the value of the variable that is not given. Use 3.1
dalvyx [7]

Answer:

P = 20.

Step-by-step explanation:

Given that:

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the variable that is not given is P. So to find out P, we substitute the two given values into the equation as following:

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<=> P = 2(6) + 2(4)

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Hope it will find you well.

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