A force of 50 pounds acts in a direction 60° above horizontal, moving an object 100 feet from (0, 0) to (100, 0). How much work is done by the force?

Answer:

It is not technically a function.  This is because by definition, a function should produce a distinct output value for every unique input value.  In this case 8 and 6 both give you four, so it is not a function.

Answer:

Part A)

Ashley will be on the sixth page.

Part B)

[tex]\displaystyle p=\frac{1}{3}m+5[/tex]

Part C)

Six minutes.

Step-by-step explanation:

Ashley is on the first page and she can read one page per minute.

Emma is on the fifth page and she can read one page every three minutes.

Part A)

We can write an equation for Ashley. Let m represent the amount of minutes that has passed.

Since she is already one the first page, our initial value is 1.

She reads one page every minute. So, after m minutes, she would have read m pages.

Therefore, our equation is:

[tex]p=m+1[/tex]

Where p is the total pages read after m minutes.

Then after five minutes, Ashley will be on the:

[tex]p=(5)+1=6[/tex]

Ashley will be on the sixth page after five minutes.

Part B)

Since Emma reads one page every three minutes, we can say that she reads 1/3 of a page every minute.

Since she started on page five, her equation is:

[tex]\displaystyle p=\frac{1}{3}m+5[/tex]

Part C)

So, both of their pages read must be equivalent. Therefore:

[tex]\displaystyle m+1=\frac{1}{3}m+5[/tex]

Solve for m. Subtract 1/3m from both sides:

[tex]\displaystyle \frac{2}{3}m+1=5[/tex]

Subtract 1 from both sides:

[tex]\displaystyle \frac{2}{3}m=4[/tex]

Finally, multiply both sides by 3/2:

[tex]\displaystyle m=4\Big(\frac{3}{2}\Big)=6[/tex]

So, it will take six minutes before Ashley and Emma have read the same number of pages.

There are 48 fluid ounces of water Scott drink.

An ounce is a unit of measurement of weight or mass in both the US customary system and the British imperial system. In the US customary system, one fluid ounce of water weighs about 1.04 ounces (oz).

Each day, Scott consumes 48 fluid ounces of water.

To convert cups to fluid ounces, we need to multiply the number of cups by 8 (as there are 8 fluid ounces in one cup).

So, 6 cups of water is equal to:

6 cups × 8 fluid ounces per cup = 48 fluid ounces

Therefore, there are 48 fluid ounces of water Scott drink.

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Answer:1/6

Step-by-step explanation:

For one roll it’s1/6

C

Step-by-step explanation:

The probability of rolling exactly one 6 = 16×(56)5=312546656

Answer: 81

Step-by-step explanation:

3^4

3x3x3x3

3x3=9

9x3=27

27x3=81

Answer:

1/3 of 45 = 15 cubic feet

Step-by-step explanation:

volume of rectangular prism = (B)(h)

volume of rectangular pyramid = 1/3(B)(h)

Answer:

1. 3x-7y and -7y+3x

Step-by-step explanation:

1. 3x -7y and -7y +3x

This is correct because the terms remain unchanged. The -7y stays a -7y and the positive 3x stays a positive 3x.

2. 3x -7y and 7y -3x

This is not correct because the signs of the 3x and 7y switch. For the expressions to be equivalent, the signs must remain unchanged.

3. 3x -7y and 3y -7x

This is not correct because the variables of the 3 and 7 switched. The variables need to stay the same, for the expressions to be equivalent.

4. 3x-7 and -3y+7x

This is not correct because both the variables and the signs of the expressions changed. Both the signs and variables would need to stay the same in order to be equivalent.

Answer:

i think letter D or C i also have this question

Answer:

its b

Step-by-step explanation:

i just did it

Answer:

$12,000

Step-by-step explanation:

100 x 12.

1200 x 10.

= 12000

Answer:

slope = 1

y-intercept  - 1

slope intercept form: y =  x - 1

Step-by-step explanation:

Answer:

The Answer Is 6

Step-by-step explanation:

The number of students 6th graders who will need to join the club will be 18.

The utilization of two or more additional numbers that compares is known as the ratio.

The chart below displays the number of students in each grade that are members of Lone Star Middle School's spirit club.

If ten additional eighth-grade students join the group. If the ratio of eighth students to sixth graders remains constant.

Let 'x' be the number of students who join the club in 6th grade. Then the equation is given as,

x / (2 × 10 + 10) = 6 / 10

Simplify the equation, then we have

x / (2 × 10 + 10) = 6 / 10

x / 30 = 3 / 5

x = 30 (3/5)

x = 18

The number of students 6th graders who will need to join the club will be 18.

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Answer:

Frame A width = 6.67 inches

Frame B width = 6 inches

Step-by-step explanation:

WA = width of frame A

WB = width of frame B

(WA)(6.75) = 45

WA = 6.67

(WB)(7.5) = 45

WB = 6

4

p=2(l+b)

p=2(6+2)

p=16

p=4l

16=4l

l=4

Answer: C 30 it was correct on my test

The estimated probability that at least two of the puppies will be female is 60%.

Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.

For the given situation,

Let heads (H) be the female puppy

Let tails (T) be the male puppy.

The simulation results are the sample spaces.

[tex](THTT, TTTH, TTHH, HTTT, TTTT, HHHH, HTHT, HHHT, THTH, THTH)[/tex]

⇒ [tex]n(s)=10[/tex]

The event is the probability that at least two of the puppies will be

female.

[tex]e=(TTHH, HHHH, HTHT, HHHT, THTH, THTH )\\[/tex]

⇒ [tex]n(e)=6[/tex]

The estimated probability that at least two of the puppies will be

female, [tex]P(e)=\frac{n(e)}{n(s)}[/tex]

⇒ [tex]P(e)=\frac{6}{10}[/tex]

⇒ [tex]P(e)=0.6[/tex]

Thus the percentage of the female puppies = [tex](0.6)(100)[/tex]

⇒ [tex]60\%[/tex]

Hence we can conclude that the estimated probability that at least two of the puppies will be female is 60%.

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Answer: x=16

Step-by-step explanation: multiply both sides by 4 , 4*4 that should get you to x=16

hope this helps

Answer:

3.75

Step-by-step explanation:

¼x = 4

x = 4 - 1/4

x = 4 - 0.25

x = 3.75

i think this is the answer

Answer:

assuming you want to cover 18 ft x 15 ft:

18 x 15 = 270 ft²

1.5 x 1.5 = 2.25 ft² per tile

270 ft²/ 2.25 per tile = 120 tiles

Answer:500

Step-by-step explanation:

Answer:

20.1

Step-by-step explanation:

idunno, it's probably a square so i just rooted it.

Answer:

pictograph is a type of graph that use images to represent data or a given information and it is also called picture graph

Answer:

x = 100°

Step-by-step explanation:

because it is a vertical angle to 100°

Answer:

1. Yes they are

2. No they are not

hope this helps :)

Step-by-step explanation:

Answer:

B) 60.21 ft²

Step-by-step explanation:

Area of a triangle = 1/2bh

You can‘t used mixed measurements (feet and inches), so you have to convert each length to inches

8’6”=102’

14’2”=170’

Now find the area

1/2 x 102 x 170 = 8670 in²

This is one of the answers, but the quetion asks how many quart feet you need.

So, convert it back to feet.

8670 x 0.06944444444 = 60.2083333

(You could also have converted the two lengths to feet. 8’6” = 8.5 ft.  14’2” = 14.16666666.  This way would probably have been faster.

1/2 x 8.5 x 14.166666 = 60.20833333)

Answer: 56.1

Step-by-step explanation:

Answer: y=-4x+6

Step-by-step explanation:

M is the slope in slope intercept form.

y=mx+b

And b is the Y intercept because when you plug in zero for x you get y=b.

So we know

y=-4x+b

Because m is the slope

And y is 6 because it is shown in the parentheses

So we know the answer is y=-4x+6

Answer:

Step-by-step explanation:

17% = 0.17

$130 000 × 0.17 = $22 100