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3 years ago

What is the value of d + e + f when d = 20, e = –4, and f = –2? A. –26 B. –22 C. 14 D. 18 Question Resources

Mathematics

2 answers:

Dafna1 [17]3 years ago

8 0

20+(-4)+(-2)= 14

(i love to eat)

kenny6666 [7]3 years ago

7 0

If you would like to know what is the value of d + e + f when d = 20, e = -4, and f = -2, you can calculate this using the following steps:

d + e + f = 20 + (-4) + (-2) = 20 - 4 - 2 = 14

The correct result would be C. 14.

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An open-top box with a square base is to have a volume of 4 cubic feet. Find the dimensions of the box (in ft) that can be made

Lemur [1.5K]

Answer:

The dimension of box= $2ft\times 2ft\times 1ft$

Step-by-step explanation:

We are given that

Volume of box=4 cubic feet

Let x be the side of square base and h be the height of box

Volume of box= $lbh=x^2h$

$4=x^2h$

$h=\frac{4}{x^2}$

Now, surface area of box,A= $x^2+4xh$

$A=x^2+4x(\frac{4}{x^2})=x^2+\frac{16}{x}$

$\frac{dA}{dx}=2x-\frac{16}{x^2}$

$\frac{dA}{dx}=0$

$2x-\frac{16}{x^2}=0$

$2x=\frac{16}{x^2}$

$x^3=8$

$x=2$

$\frac{d^2A}{dx^2}=2+\frac{32}{x^3}$

Substitute x=2

$\frac{d^2A}{dx^2}=2+\frac{32}{2^3}=2+4=6>0$

Hence, the area of box is minimum at x=2

Therefore, side of square base,x=2 ft

Height of box,h= $\frac{4}{2^2}=1 ft$

Hence, the dimension of box= $2ft\times 2ft\times 1ft$

5 0

3 years ago

Of the following points, name all that lie on the same vertical line?

Masteriza [31]

Answer:

(-2,-6) (6,2)

Step-by-step explanation:

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3 years ago

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steposvetlana [31]

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3 years ago

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A family is having a pool built in their backyard. Their yard is rectangular and measures 14x by 19x and the pool is circular wi

valentina_108 [34]

You want to find the area left over after the pool is built, so subtract the area of the pool from the area of the yard.

Area of Yard= Base x Height = 14x*19x = 266x^2
Area of Circle= Pi x Radius^2 = (6x)^2*pi = 36x^2*pi

Now subtract the two areas:
266x^2-(36^2*pi)
266x^2-36x^2*pi

Take 2x^2 as a common factor:
2x^2(133-18pi)

D: <span>2x^2(133-18pi)

Hope this helps :)</span>

3 0

3 years ago

The amounts of a sum of money in 2 years and 5 years are rs 2800 and e 3250respectvely .find the sum

sammy [17]

Answer:

money : x

in 2 years : x+2

in 5years: x+2= 2800 + 3250

sum= x+2= 6050

x=6050÷2

x=3025

6 0

3 years ago