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3 years ago

A wheelchair ramp runs 36 inches and rises 3 inches. What is the rate of change?

Mathematics

2 answers:

Oduvanchick [21]3 years ago

5 0

Rate of change is Rise over run=3/36=1/12 inches

Alenkasestr [34]3 years ago

5 0

Answer:

1/12

Step-by-step explanation:

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What’s multiplies to get 18 but adds to get -15

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The answer for this question is threee

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you have a 5-inch by 7-inch picture that you framed. When you hung the picture, you found that the entire area is 69.56 in. What

Montano1993 [528]

Answer:

d. 2.4 in

Step-by-step explanation:

So initially w/o frame the area was 5 x 7 = 35 sq in.

Now we have to add the width of the frame to both dimensions.

(5+w)(7+w) = 69.56 sq in

35 + 7w + 5w + w² = 69.56

w² + 12w + 35 = 69.56

w² + 12w - 34.56 = 0

I use the quadratic formula to solve this (x = -b±√b²-4ac / 2a). I cheat by using a quadratic program on the calculator :,)

w = 2.4

w = -14.4

Since we can't have a negative width, the answer must be w = 2.4 inches.

You can also just plug the answer choices one-by-one into the calculator with guess-and-check because this is multiple choice.

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3 years ago

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Find the coefficient of x^4 in the expansion of (1 + 2x + 3x^3)^10?

Lesechka [4]

$(1+2x+3x^3)^{10}$

The only possible configurations of terms that contribute to generating the $x^4$ term in the expansion are given by the multinomial theorem to be

$\left(\dbinom{10}{6,4,0}(1)^6(2x)^4(3x^3)^0+\dbinom{10}{8,1,1}(1)^8(2x)^1(3x^3)^1\right)x^4$

where

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Simplifying a bit gives a coefficient of

$\dbinom{10}{6,4,0}(2)^4+\dbinom{10}{8,1,1}(2)(3)$
$16\dbinom{10}{6,4,0}+6\dbinom{10}{8,1,1}$
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3 years ago

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Grace [21]

7/8 * 9 1/2 =. 8.31 minutes

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3 years ago

kirill115 [55]

B. (1, –3)

x – y = 4
8x + 2y = 2

1 - (-3) = 4
8(1) + 2(-3) =
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True

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