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Feliz [49]
4 years ago
15

Evaluate the expression for the given value of the variable. d=75 2d+−45d−−−−−√3=

Mathematics
1 answer:
Ahat [919]4 years ago
3 0

Answer:

The expression for the given value of the variable d=75 is, 135

Step-by-step explanation:

Given the expression:

2d+\sqrt[3]{-45d}               ....[1]

We have to find the value for the given expression when d = 75

Substitute the value of d in [1] we have

2(75)+\sqrt[3]{-45(75)}

⇒ 150+\sqrt[3]{-3375}

⇒150-15

Simplify:

⇒135

Therefore, the expression for the given value of the variable d=75 is, 135

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A train leaves San Diego at 1:00 pm. A second train leaves the same city in the same direction at 3:00 pm. The second train trav
Soloha48 [4]

Answer:

The speed of the first train is 45 mph and the speed of the second train is 75 mph

Step-by-step explanation:

Let x represent the speed of the first train in mph. Since the second train, is 30 mph faster then the first, therefore the speed of the second train is (x + 30).

The first train leaves at 1:00 pm, therefore at 6:00 pm, the time taken is 5 hours. Therefore the distance covered by the first train at 6:00 pm = x mph * 5 hours = 5x miles

The second train leaves at 3:00 pm, therefore at 6:00 pm, the time taken is 3 hours. Therefore the distance covered by the second train at 6:00 pm = (x + 30) mph * 3 hours = (3x + 90) miles

Since the second train overtakes the first at 6:00 pm, hence:

3x + 90 = 5x

2x = 90

x = 45

Therefore the speed of the first train is 45 mph and the speed of the second train is 75 mph (45 mph + 30 mph).

7 0
3 years ago
Andrew is going to have a pool party for all his friends.The cost of renting the swimming pool for the day is a $30.00 flat rate
egoroff_w [7]

Answer: 30×2n=C

Step-by-step explanation:

30$ is flat fee so no variable

2$ dollars per person so "n" (the number of people) is times 2

= the final cost (C)

4 0
3 years ago
Tucker's Road Paving Company used 646.5 tons of cement to pave 4 miles of roadway. To the nearest hundredth of a ton, how much c
andreev551 [17]

Answer:

161.63 tons

Step-by-step explanation:

Cement used per mile = total cement used / total miles

646.5 tons / 4 = 161.625 tons

161.63 tons to the nearest hundredth

the hundredth is the second number after the decimal place. To convert to the nearest hundredth, look at the number after the hundredth (the thousandth). If the number is greater or equal to 5, add 1 to the hundredth figure. If this is not the case, add zero

the thousandth term is 5, so 1 would be added to 2

3 0
3 years ago
The two lines graphed on the coordinate grid each represent an equation.
agasfer [191]

Answer:

I want to say your answer is (B) just not 100% sure. It also could probably be option (C).

8 0
3 years ago
Read 2 more answers
What is the remainder R when the polynomial p(x) is divided by (x + 1)? Is (x + 1) a factor of p(x)? p(x) = -3x4 + 2x3 - x2 + 6
vodka [1.7K]

Answer:

(x+1) is a factor with remainder 0.

Step-by-step explanation:

We divide (x+1) into the polynomial -3x^4+2x^3-x^2+6 through long division or synthetic. We choose long division and look for what will multiply with (x+1) to make the polynomial -3x^4+2x^3-x^2+6 .

(x+1)(-3x^3)=-3x^4-3x^3

We subtract this from the original -3x^4-(-3x^4)+2x^3-(-3x^3)-x^2+6.

This leaves 5x^3-x^2+6. We repeat the step above.

(x+1)(5x^2)=5x^3+5x^2.

We subtract this from 5x^3-(5x^3)-x^2-(5x^2)+6=-6x^2+6. We repeat the step above.

(x+1)(-6x)=-6x^2-6x.

We subtract this from -6x^2-(-6x^2)+0x-(-6x)+6=6x+6. We repeat the step above.

(x+1)(6)=-6x+1.

We subtract this from 6x-(6x)+6-(6)=0. There is no remainder. This means (x+1) is a factor.


7 0
3 years ago
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