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3 years ago

Find the equation of a line that is parallel to y = 1/4x - 5 and going through the origin

Mathematics

1 answer:

vesna_86 [32]3 years ago

6 0

Parallel = same slope
Slope would be 1/4
Pass through (0,0)
Solution: y = 1/4x

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A rectangular tank that is 2048 ft cubed with a square base and open top is to be constructed of sheet steel of a given thicknes

lyudmila [28]

Answer:

Step-by-step explanation:

Let the total surface area of the rectangular tank be S = 2LW+2LH+2WH where;

L is the length of the box

W is the width of the box

H is the height of the box.

Since the box is openend at the top, S = lw + 2lh+ 2wh

If the base is a square base then, l = w

S = l(l) + 2wh+2wh

S = l²+4wh ............... 1

If volume = lwh

lwh = 2028 ft³

wh = 2048/l ................ 2

Substitute equation 2 into 1;

S = l²+4(2048/l)

S = l²+8192/l

dS/dl = 2l - 8192/l²

If dS/dl = 0 (since we are looking for dimensions of the tank with minimum weight.)

2l - 8192/l² = 0

2l = 8192/l²

2l³ = 8192

l³ = 8192/2

l³ = 4096

l =∛4096

l = 16 ft

Since the length is equal to the width, hence the width = 16ft (square based tank)

Given the volume V = lwh = 2048

lwh = 2048

16*16*h = 2048

256h = 2048

divide both sides by 256

256h/256 = 2048/256

h = 8ft

<em>Hence, the dimensions of the tank with minimum weight is 16ft by 16ft by 8ft.</em>

4 0

3 years ago

if every citizen of the U.S. were asked to pitch in an equal amount to pay off the federal debt, each individual would have to p

nadezda [96]

The answer could vary depending on the information your individual lesson is using for the population/debt. However, an answer that should be close (or possibly exact) is $16,527.39 per person.

4 0

4 years ago

The product of three consecutive numbers is 990. What is the sum you f the 3 whole numbers?

Amanda [17]

Answer:

Step-by-step explanation:

If the three numbers are x, x+1, and x+2, then:

x (x+1) (x+2) = 990

x (x² + 3x + 2) = 990

x³ + 3x² + 2x - 990 = 0

(x - 9) (x² + 12x + 110) = 0

Since x must be a whole number, x = 9. You can also use simple trial and error to find that the three numbers are 9, 10, 11.

The sum is:

9 + 10 + 11 = 20

4 0

4 years ago

2 x 6 ÷ 2 + 1 Best Friends Answer (:

KatRina [158]

Answer:

Step-by-step explanation:

2*6 is 12

12/2 is 6

6+1= 7

4 0

3 years ago

Read 2 more answers

With a ruler, Diamond determines the diameter of a golf ball to be 4.2 centimeters (a radius of 2.1 cm) and the diameter of a pr

Troyanec [42]

Answer:

Diamonds is incorrect, because, the volume of the softball is 8 times the volume of the golf ball

Step-by-step explanation:

we know that

The volume of a sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

where

r is the radius

step 1

Find the volume of the golf ball

we have

$r=2.1\ cm\\pi =3.14$

substitute

$V=\frac{4}{3}(3.14)(2.1)^{3}=38.77\ cm^3$

step 2

Find the volume of the the softball

we have

$r=4.2\ cm\\pi =3.14$

substitute

$V=\frac{4}{3}(3.14)(4.2)^{3}=310.18\ cm^3$

step 3

Find the ratio of volumes

Divide the volume of the softball by the volume of the golf ball

$\frac{310.18}{38.77}=8$

That means

Diamonds is incorrect, because, the volume of the softball is 8 times the volume of the golf ball

7 0

3 years ago