What is the volume, in cubic in, of a rectangular prism with a height of 11in, a width

of 2oin, and a length of 19in?

Answer:

StPart 1) The expression is  

Part 2) The area of the schoolyard when x=40 m is A=2,800 m^2

Part 3) The domain is all real numbers greater than zero and less than 75 meters

Step-by-step explanation:

Part 1) Write an expression for A(x)

Let

x -----> the length of the rectangular schoolyard

y ---> the width of the rectangular schoolyard

we know that

The perimeter of the fencing (using the wall of the school for one side) is

so

-----> equation A

The area of the rectangular schoolyard is

---> equation B

substitute equation A in equation B

Convert to function notation

Part 2) What is the area of the schoolyard when x=40?

For x=40 m

substitute in the expression of Part 1) and solve for A

Part 3) What is a reasonable domain for A(x) in this context

we know that

A represent the area of the rectangular schoolyard

x represent the length of of the rectangular schoolyard

we have

This is a vertical parabola open downward

The vertex is a maximum

The x-coordinate of the vertex represent the length for the maximum area

The y-coordinate of the vertex represent the maximum area

The vertex is the point (37.5, 2812.5)

using a graphing tool, see the attached figure

therefore

The maximum area is 2,812.5 m^2

The x-intercepts are x=0 m and x=75 m

The domain for A is the interval -----> (0, 75)

All real numbers greater than zero and less than 75 meters

ep-by-step explanation:

Answer:

[tex]f( - 1) = - 2[/tex]

Step-by-step explanation:

[tex]f(x) = - {x}^{2} + x \\ f( - 1) = - {( - 1)}^{2} + ( - 1) \\ = - (1) + ( - 1) \\ = - 1 - 1 \\ f( - 1)= - 2[/tex]

I hope I helped you^_^

Step-by-step explanation:

remember, dividing one fraction by a second is the same as multiplying the first one with the inverse fraction of the second.

5/6 ÷ 5/24 = 5/6 × 24/5 = 24×5 / 6×5 = 24/6 = 4

Answer:

False

Step-by-step explanation:

Every rhombus has two diagonals connecting pairs of opposite vertices, and two pairs of parallel sides.

b.

0.22(100)=22.0

we have to move the decimal point twice to the right to get a percent!

Answer:

Step-by-step explanation:

0.022 i think

Answer:

-9 * 7 = -63

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

As follows,

Step-by-step explanation:

1

3x^2y^-1

3x^2/y

2

∛2x^5y^3

2^(1/3)x^(5/3)y^(3/3)

2^(1/3)x^(5/3)y

3

5^(4/4)x^(1/4)y^(3/4)

∜5^4xy^3

Estimating the value of 6472+2380

Round up the number 6472 to 6470.

6470+2380

Round up the number 2380 to 2380.

6470+2380

Add 2380 to 6470.

8850

6472+2380≈8850

The Estimated Value of 6472+2380 is 8850.

Answer:

7000

Step-by-step explanation:

6000+472=7000 I really hope it helped

Answer:

Step-by-step explanation:

Answer:

The correct answer is Jamal hiked [tex]14\frac{2}{3}[/tex] miles.

Step-by-step explanation:

To solve this math problem, you will need to convert mixed numbered fractions, into improper fractions.

To do that, you will need to multiply the whole number with the denominator (Ex: 5 × 3 = 15), then when you receive the answer, add the answer with the numerator (Ex: 15 + 1 = 16), finally, you should receive a new answer, and to finalize the improper fraction, you always need to keep the denominator the same (Ex: The denominator is 3 so use the new answer as a numerator replacement. [tex]\frac{16}{3}[/tex])

--

After you have converted all the mixed numbers into improper fractions in the math problem, you are then able to use multiplication.

--

But first we have to calculate how long the second trail was.

[tex]\frac{7}{4} *\frac{16}{3} =7*\frac{4}{3} =\frac{28}{3} =9\frac{1}{3}[/tex] miles. Then, convert the mixed number into improper. ([tex]\frac{28}{3}[/tex])

--

Now add the number of miles of both trails.

[tex]\frac{16}{3} +\frac{28}{3} =\frac{44}{3} =14\frac{2}{3}[/tex]

With the result as: [tex]14\frac{2}{3}[/tex]

Answer:

I'd say Yev's description is best because it's the most specific to what it actually is in terms of science, while everyone else's descriptions are more like examples of different types and stages of energy, and where it could be found.

Hope this makes sense to ya :)

The percentage of measurements which are below the 88th percentile could be expressed as 88%.

Therefore, percentage of measurement below the 88th percentile is 88%

Learn more :https://brainly.com/question/8165716

Answer:

18 x 4 = 72

72/2 = 36

36 is the answer

Step-by-step explanation:

Answer:

Explanation:

Well, Hope it helps you..

Y-your welcome in advance..

(;ŏ﹏ŏ)(ㆁωㆁ)

Answer:

The temperature change is 11.

Step-by-step explanation:

You take the starting temp. (-4) and add it to the final temp (15) which looks like this:

-4+15

This gets you the answer of 11.

The other person is correct.Sorry about that

Answer:

In my thinking, The answer is 80, 160

Step-by-step explanation:

x+2x+35+85 = 360

3x+120=360

3x=360-120

3x=240

x=240/3

Therefore, x=80

and,

2x=2*80

=160

Answer:

b=-1

Step-by-step explanation:

Answer:

distributive property of multiplication.

Step-by-step explanation:

Answer:

The probability to roll a number greater than 3 is 3 over the 6 total (1,2,3,4,5,6).

That can be simplified to 1/2 for the probability.

If she rolls the dice 90 times 90 x 1/2 or 45 rolls will receive a number greater than 3.

Answer: 45

Answer:

100

Step-by-step explanation:

10*10

is the same thing as saying

10×10

hope this helped you- have a good day bro cya )

Answer:

-20is the answer

have a great day

Answer:

-30

Step-by-step explanation:

Answer:

L.C.M of 432 and 486: 3888

H.C.F of 432 and 486: 54

Step-by-step explanation:

Answer:

y = 2/3x -6

Step-by-step explanation:

slope intercept form is y = mx + b ( m is slope)