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3 years ago

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The same astronaut visited Pluto. His weight on Earth was still 170 pounds, and his weight on Pluto was only 10 pounds. He remov

ed an ice core with a weight of 25 pounds on Pluto. What is the weight of the ice core on Earth?

1 answer:

nata0808 [166]3 years ago

8 0

425 because if you put these number in fractions such a$ 170/10 with x/25 you would cross multiply 170 with 25 then divide by 10

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According to u.s. postal regulations, the girth plus the length of a parcel sent by mail may not exceed 108 inches, where by "gi

Pepsi [2]

Let x represent the side length of the square end, and let d represent the dimension that is the sum of length and girth. Then the volume V is given by
V = x²(d -4x)
Volume will be maximized when the derivative of V is zero.
dV/dx = 0 = -12x² +2dx
0 = -2x(6x -d)
This has solutions
x = 0, x = d/6

a) The largest possible volume is
(d/6)²(d -4d/6) = 2(d/6)³
= 2(108 in/6)³ = 11,664 in³

b) The dimensions of the package with largest volume are
d/6 = 18 inches square by
d -4d/6 = d/3 = 36 inches long

8 0

2 years ago

Find f(4) when f(x)=4x^2 - 2 x - 4

prisoha [69]

Answer:

52

Step-by-step explanation:

$f(x)=4x^2-2x-4$

$f(4)=4(4)^2-2(4)-4$ (I replaced $x$ with $(4)$ since we are to find $f(4)$ .)

$f(4)=4(16)-2(4)-4$ (By the order of operations, we take care of the exponents before whatever else we have here.)

$f(4)=64-8-4$ (By the order of operations, we take care of the multiplication as we see if left to right.)

$f(4)=56-4$ (By the order of operations, we perform addition/subtraction as we see it left to right.)

$f(4)=52$ (This completes the simplification.)

We could have also put this in our calculator as:

4(4)^2 - 2(4) - 4

This would have returned 52.

8 0

2 years ago

What does it mean for two fractions to be equivalent? For two ratios to be equivalent?

nadya68 [22]

When two fractions are equivalent that means that different fractions have the same number

6 0

3 years ago

The length of a square is 10 cm. Calculate the perimeter of the square A. 40cm² B. 400cm² C. 4ocm D. 414cm² I will mark you as b

noname [10]

Answer:

C. 40 cm

Step-by-step explanation:

length of side of square = s

perimeter = s + s + s + s = 4s

We use the formula P = 4s

P = 4 * 10 cm

P = 40 cm

Answer: The perimeter is 40 cm.

Notice that the perimeter is a sum of lengths, so its units are linear units such as cm, inches, feet, a unit of length.

An area has square units such as cm^2, in.^2, ft^2, etc.

3 0

2 years ago

Read 2 more answers

Given the functions below, find (g * h)(1). g(x) = x^2 + 4 + 2x. h(x) = -3x + 2

pshichka [43]

Answer:

3

Step-by-step explanation:

g(x) = x² + 2x+4

h(x) = -3x+2

(g*h)(1) is the same as

g(h(1)) , next solve for h(1) first by substituting in h(x), x with 1

g( h( x= 1)) = g( -3*1 +2) = g( -1) so substitute in g(x) , x with -1

g(x= -1) = (-1)² +2(-1) +4 =1-2+4 =3

7 0

2 years ago