A rectangular prism has a length of 9in., a width of 4in., and a height of 1 1/2in. The prism is filled with cubes that have edge lengths of 1/2. How many cubes are needed to fill the rectangular prism?

I NEED HELP ASAP!!

Answer:

The answer is [tex]2x^{3}y^{-2}\sqrt{6}[/tex]

Step-by-step explanation:

∵ √24 = 2√6

∵ [tex]\sqrt{x^{6}}=(x^{\frac{1}{2}})^{6}=x^{3}[/tex]

∵ [tex]\sqrt{y^{-4}}=(y^{\frac{1}{2}})^{-4}=y^{-2}[/tex]

∴ [tex]\sqrt{24x^{6}y^{-4}}=2x^{3}y^{-2}\sqrt{6}[/tex]

The pants are $38.06 and the television is $1,147.50.

The sales tax on the pair of pants is calculated by multiplying $35 x .0875 = $3.06

The total cost is $35 + 3.06 = $38.06.

The sales price of the television is calculated by multiplying $1,250 x .85, (100 - .15 discount = .85) = $1,062.50 is the sales price

The sales tax is calculated by multiplying $1,062.50 x .08 = $85

The total price is $85 + $1,062.50 = $1,147.50

Answer:

2.5 * 10^-5

Step-by-step explanation:

2.5 * 10^-5

If the number is between 1 and -1 excluding 0. Then

count the number of zeros

add 1 more

write the notation of where you put the decimal place

The power is minus and equal to the number of zeros + 1

0.000025

zeros: the number of zeros = 4

Add 1: 4 + 1 = 5

Decimal goes between the 2 and the 5

2.5

Power: = - 5

Answer: 2.5 * 10^-5

Answer:

compound interest

Step-by-step explanation:

2000 * 20 to power of 3

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[tex]0.888 = 111/125 = 88.8percent[/tex]

I just gave you 0.888 is it's fraction and percentage.

First, 111/125 is the simplified answer and is over the 100th and is not big enough for the 1,000's.

Second, 111/125 as a percentage is 88.8%.

Have a great day.

Given a sphere and a cylinder with the same radius, r, and the height of the cylinder equal to the radius, the sphere has a greater volume. This is concluded by comparing the volume formulas for a sphere (4/3πr³) and a cylinder (πr³).

The sphere and cylinder have the same radius, r, and the height of the cylinder, h, is equal to its radius, r. We'll calculate the volumes of both an apply our given conditions to see which figure has a greater volume.

The formula for the volume of a cylinder is Vcylinder = πr²h. In this case given that h=r, it becomes Vcylinder = πr³.

The formula for the volume of a sphere is Vsphere = 4/3πr³.

Comparing both, we definitely see that the sphere with a volume of 4/3πr³ is greater than the cylinder with a volume of πr³

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C . Permutation number of ways = 1

Answer:

2,2 dimethyl propane

Step-by-step explanation:

To name such an organic compound, first identify the longest carbon chain in the provided table, the fourth compound, its longest carbon chain has three carbon atoms thus, the prefix prop-

Then we find the other substituents attached to the carbon chain. In the given compound it has two methyl (CH₃) groups attached to the second carbon atom.

thus 2,2 since there are two attached.

Answer:

300 cm

Step-by-step explanation:

Answer: [tex]f(7)=-4[/tex]

Step-by-step explanation:

1. You have the following function given in  the problem:

[tex]f(x)=10-2x[/tex]

2. Then, to find [tex]f(7)[/tex] asked in the exercise, you only need to substitute [tex]x=7[/tex] (which is the input value) into the given function.

3. Therefore, keeping the above on mind, you obtain that [tex]f(7)[/tex] is:

[tex]x=7[/tex]

[tex]f(7)=10-2(7)[/tex]

[tex]f(7)=10-14[/tex]

[tex]f(7)=-4[/tex]

Answer:

The correct answer is,

f(7)  -4

Step-by-step explanation:

It is given that,

f(x) = 10 - 2x

To find f(7)

To find f(7) we have to put 7 instead of x in f(x).

Here  f(x) = 10 - 2x,

Step 1: substitute the value x = 7 we get ,

f(7) = 10 - (2 * 7)    

 = 10 - 14 = -4

Therefore we get the answer  f(7) = -4

The correct answer is first option.

Answer:

Option A. [tex]37.5\ cm^{2}[/tex]

Step-by-step explanation:

we know that

The surface area of a cube is equal to

[tex]SA=6(b)^{2}[/tex]

where

b is the length side of the cube

In this problem we have

[tex]b=2.5\ cm[/tex]

substitute the value in the formula

[tex]SA=6(2.5)^{2}=37.5\ cm^{2}[/tex]

Answer:

if i had to say i would say B. 15 sq cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

In a 30-60-90 triangle, the ratio of the lengths of the angles' opposite sides are 1-√3-2.

If the long leg is 8, then the short one is 8/√3, or 8√3/3.

Therefore, the hypotenuse, which is double the short leg, is 16√3/3.

In a 30-60-90 triangle, the long leg is √3 times the short leg and the hypotenuse is twice the short leg. By knowing the long leg and using these relationships, we can work out the short leg and then the hypotenuse. In this specific problem, the hypotenuse of the triangle is approximately 9.24.

In a 30-60-90 triangle, the ratio of the side lengths is consistent. The length of the long leg is always √3 times the length of the short leg. The hypotenuse, which is the longest side of the triangle, is always twice the length of the short leg. If the length of the long leg is 8, the formula of this triangle can be used to find the length of the hypotenuse.

However, in your question, the length of the short leg isn't given. But based on the formulas for a 30-60-90 triangle, we can work it out. As long as we know that the long leg is √3 times the short leg, we can solve for the short leg, hence it's 8/√3.

Then, as the hypotenuse is twice the short leg, so hypotenuse = 2 * (8/√3) = 16/√3 ≈ 9.24.

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Answer:

1/4

Step-by-step explanation:

Let's find the value of c.

                              1         2^2        1

2^(-4)*2^2 = c = --------- * -------- = -------- = 1/4

                             2^4          1         2^2

this result matches the fourth given possible answer choice.

For this case we have that by definition of power properties:

[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]

We have the following expression:

[tex]2 ^ {- 4} * 2 ^ 2 = a ^ b = c[/tex]

It can be rewritten as:

[tex]\frac {2 ^ 2} {2 ^ 4}[/tex]

By definition of power properties we have:

[tex]\frac {a ^ m} {a ^ n} = a ^ {m-n}[/tex]

So:

[tex]\frac {2 ^ 2} {2 ^ 4} = 2 ^ {2-4} = 2 ^ {- 2} = \frac {1} {2 ^ 2} = \frac {1} {4}[/tex]

Thus, [tex]c = \frac {1} {4}[/tex]

Answer:

Option D

Answer:

A, B, and C

I think. Please let me know if wrong.

Heres what i did:

1.8 x 100 = 180.

180 - 80 = 100

(they made over 10 in profit)

A. 1.2 x 0 = 0

B. 1.2 x 40 - 48

C. 1.2 x 60 = 72

D. 1.2 x 70 = 84

E. 1.2 x 80 =96

D and E bot Exceed 80 so it has to be AB and C

Hope this Helps ☺

Answer:

A,b,c

Step-by-step explanation:

P=1.8d-1.2s

P=180-1.2s

100=180-1.2s

-80=-1.2s

66.7=s

If they sold ≥67 sandwiches, p<100

If they sold ≤66 sandwiches, p>100

Therefore A, B and C are correct

Her house to school is 5 miles.

The distance on the map is 2.5 inches, so we know 2.5 inches equals 5 miles.

Divide 5 miles by 2.5 inches to find miles per inch:

5 / 2.5 = 2 miles per inch.

Now you can multiply the other dimensions on the map by 2 to find total miles:

School to Library = 3 x 2 = 6 miles.

Library to Park = 1.5 x 2 = 3 miles.

Total distance traveled: 5 + 6 + 3 = 14 miles.

Answer:

a. 6

b. 9

c. 4

Step-by-step explanation:

a.

Range = greatest - smallest

Range = 85 - 79

Range = 6

b.

b > 81

82, 83, 84...

3 82s

4 83s

2 85s

3 + 4 + 2 = 9

c.

b = 83

4 83s

4

Answer:

Step-by-step explanation:

The formula of a volume of a cube:

[tex]V=a^3[/tex]

a - edge

Cube A:

a = 8in. Substitute:

[tex]V_A=8^3=512\ in^3[/tex]

Cube B:

a = 5in. Substitute:

[tex]V=5^3=125\ in^3[/tex]

[tex]\dfrac{V_A}{V_B}=\dfrac{512}{125}=4.096\approx4.1[/tex]

subsitute 3 as x

f(3) = (1/7) × (7^3)

f(3) = 1/7 × 343

f(3) = 343 ÷ 7

f(3) = 49

The required value of f(3) = 49.

f(x)= (1/7)(7^x)

The function which is in format f(x) =   where, a is constant and x is variable,  the domain of this exponential function  lies   (-∞, ∞).  

f(x)= (1/7)(7^x)
f(3) = 1/7(7^3)

f(3) = 1/7 x 7³
f(3) = 7² = 49

Thus the required value for f(3) = 49

learn more about exponential function here:

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3p/8 - 13 = -25

3p/8 = -12 | * 8

3p = -96 | : 3

P = -32

The value of p is -32

see the image

8 divided by 2=4 then square the 4

16

Answer:

16

Step-by-step explanation:

A perfect square trinomial is a three-term polynomial (also called a trinomial) that results from squareing a binomial. Every trinomial of the form: [tex]a^{2} +2ab+b^{2}[/tex], It is a perfect square trinomial.

In this case, it is necessary to divide the intermediate value of 8 by 2, and then square it, obtaining the result.

Answer:

{-12, 2}

Step-by-step explanation:

x^2 + 10x = 24

Take half of the x-term coefficient and square it. Add that to both sides.

Half of 10 is 5. 5^2 = 25.

x^2 + 10x + 25 = 24 + 25

(x + 5)^2 = 49

x + 5 = +/-sqrt(49)

x + 5 = 7 or x + 5 = -7

x = 2 or x = -12

{-12, 2}

Answer:

The answer is D. 5

Step-by-step explanation:

Answer:

The side b is 5 units

Step-by-step explanation:

Given the two sides of triangle and one angle of triangle we have to find the remaining side of triangle.

a=12 units

c=10 units

∠B=24°

we have to find the side b of triangle ABC

By cosine law,

[tex]\cos B=\frac{a^2+c^2-b^2}{2ac}[/tex]

[tex]\cos 24^{\circ}=\frac{12^2+10^2-b^2}{2(12)(10)}=\frac{144+100-b^2}{240}[/tex]

[tex]b^2=244-240\cos 24^{\circ}=24.7490901658[/tex]

[tex]b=4.97\sim 5units[/tex]

not to sure on  how to tell you to answer this one but it looks like 4 inches :)

B) Translate 4 units down and rotate 180°

Rule for 180° = (x, y) ---- (-x, -y)

Pick one point on Triangle A. (I picked the pointiest point)

(-5, 6)

Now translate 4 units down.

You will now be on (-5, 2)

Rotate 180°

You will now have (5, -2)

And the pointiest point on Triangle B is (5, -2)

So, B is the correct answer.

Option B is correct. The required transformation that will map triangle A to triangle B and illustrate the similarity between the two triangles is translating 4 units down and rotate 180° about the origin

In order to determine the transformation that will map triangle A to B, we need to do the following:

If the coordinate is translated 4 units down as seen from the figure, the resulting coordinate of the vertex on triangle B will be at (5, -6+4) i.e. (5, -2)

We can see that it tallies with a similar coordinate on triangle B. Hence the required transformation that will map triangle A to triangle B and illustrate the similarity between the two triangles is translating 4 units down and rotate 180° about the origin

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the number of candy bars (x) divided by 16 kids is less than or equal to 66 canyldy bars

Answer:

a

Step-by-step explanation:

Answer: [tex]x=-\dfrac{3}{2}, 7[/tex]

Step-by-step explanation:

[tex]2x^2-10x-26=x-5[/tex]

[tex]2x^2-10x-26-x+5=0[/tex]  Move all terms to one side

[tex]2x^2-11x-21=0[/tex] Simplify [tex]2{x}^{2}-10x-26-x+5[/tex]

[tex]2x^2+3x-14x-21=0[/tex] Split the second term

[tex]x(2x+3)-7(2x+3)=0[/tex]  Factor out common terms in the first two terms, then in the last two terms.

[tex](2x+3)(x-7)=0[/tex] Factor out the common term [tex]2x+3[/tex]

[tex]x=-\dfrac{3}{2}, 7[/tex]

Answer:

x = -3/4 and 7/2 will be your final answer, but check below for a correction on your work

Step-by-step explanation:

***Your work is incorrect, it should be

2x² - 11x - 21 = 0

you need to subtract an 'x' from both sides, and add 5 to both sides...you added an x to the left side and subtracted a 5 from the left side instead***

I'll solve this so in case you will need help on it too.

Now you'll have

x = (11 ± √[(-11²) - 4(2)(-21)])/([4(2)]

x = (11 ±  √289)/8

x = (11 ± 17)/8

x = (11 + 17)/8 = 28/8 = 7/2

or

x = (11 - 17)/8 = -6/8 = -3/4

the answer will be -11/5. i

Answer:

x=  - 2 and 1/5

Step-by-step explanation:

a.would be the best answer to me because base in the table is you look carefully.you would see that it is double by yen and it is a constant. rate of change a linear function. that is why I think it's the best answer.

Answer:

A

Step-by-step explanation:

It can not be B, because the statement in the reasoning is false.

Nor can it be C, the statement is irrelevant and unnecessary.

Nor D, it makes no sense.

It's A because it is true and makes sense.

The answer is:

The telephone pole is 20.8 foot tall.

Since it's not mentioned, we can assume that both, man and the telephone pole are close, so, if two similar triangles are created, we know that both shadows are proportional and we can find the telephone pole height creating a proportionality relationship.

We can find the telephone pole height using the following equation,

[tex]\frac{ManHeight}{ManShadow}=\frac{PoleHeight}{PoleShadow}[/tex]

Were,

Man height is 6 foot

Man shadow  is 4.5 feet long

Telephone pole shadow is 15.6 feet long.

So, substituting we have:

[tex]\frac{6}{4.5}=\frac{PoleHeight}{15.6}[/tex]

[tex]PoleHeight=15.6*\frac{6}{1.5}=20.8ft[/tex]

So, the telephone pole is 20.8 foot tall.

Have a nice day!