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3 years ago

6

The temperature outside dropped 13 degrees Fahrenheit in 7 hours. The final temperature was -2 degrees Fahrenheit. What was the

starting temperature? *

1 answer:

inysia [295]3 years ago

4 0

Answer:

Step-by-step explanation:

11 degrees. 13 + -2 = 11. The starting temperature was 11 degrees farenheit

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An angle measures 94" more than the measure of its supplementary angle. What is the

PIT_PIT [208]

Answer:

The measure of the angles are 137 and 43

Step-by-step explanation:

Firstly, we need to understand what is meant by saying two angles are supplementary.Two angles are termed supplementary if the addition of the value of both angles equal 180.

Now let the two angles we are seeking in this question be x and y respectively

We write our first equation using the supplementary information;

x + y = 180 •••••••••••(i)

Secondly we are made to know that the difference between these angles is 94

Mathematically;

x - y = 94

or simply x = 94 + y; insert this into equation 1 above

94 + y + y = 180

2y = 180 - 94

2y = 86

y = 86/2

y = 43

x = 94 + y = 94 + 43 = 137

8 0

4 years ago

The length of a rectangular box is 4 times its width, and its height is 7in more than its width. The volume of the box is 126in3

Ierofanga [76]

Answer:

1.88 inches

Step-by-step explanation:

The volume is the product of length, width, and height. If w represents the width of the box, then its length is 4w and its height is w+7. The volume is then ...

V = (4w)(w)(w+7)

We want to find the value of w that makes V=126. It is convenient to use the graphing calculator to look for zeros of a function, so we can write the equation as ...

V - 126 = 0

4w·w·(w+7) -126 = 0

The only positive solution to this equation is near w ≈ 1.883.

The width of the box is about 1.88 inches.

_____

Attached is output from the DESMOS free graphing calculator. The ALEKS calculator requires a subscription. The method of solution is substantially the same, but requires a little more work on the ALEKS calculator to find the zero-crossing.

8 0

3 years ago

How many 10-digit ternary strings are there that contain exactly two 0s, three 1s, and five 2s?

Svet_ta [14]

There are $\dbinom{10}2$ ways of picking 2 of the 10 available positions for a 0. 8 positions remain.

There are $\dbinom83$ ways of picking 3 of the 8 available positions for a 1. 5 positions remain, but we're filling all of them with 2s, and there's $\dbinom55=1$ way of doing that.

So we have

$\dbinom{10}2\dbinom83\dbinom55=\dfrac{10!}{2!(10-2)!}\dfrac{8!}{3!(8-3)!}\dfrac{5!}{5!(5-5)!}=2520$

The last expression has a more compact form in terms of the so-called multinomial coefficient,

$\dbinom{10}{2,3,5}=\dfrac{10!}{2!3!5!}=2520$

5 0

3 years ago

100 people at dinner. 90 had French heritage, 80 had English heritage, and 75 had Native American heritage. At least how many ha

Marina CMI [18]

At least there should be 245 people at dinner if u add 80,90, and 75

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3 years ago

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G) You guess that your favorite basketball player would score 35 points during the game. She actually scored 28. Find your perce

Svet_ta [14]

5 percent error cause 0.000000 djjj

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4 years ago