This figure represents a compartment in a container for storing office supplies. Another compartment is identical except that it is 2 centimeters taller.

What is the difference in volume of the two compartments?

Enter your answer in the box.

Tax the assesed home would increase the total amount paid

The tax of a home assesed at $150,000 is $1500

The given parameter can be represented using the following ratio:

Ratio = Tax : Amount

So, we have:

$10 : $1000 = Tax : $150000

Express as fraction

10/1000 = Tax/$150000

Multiply both sides by $150000

Tax = $1500

Hence, the tax of a home assesed at $150,000 is $1500

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Answer:

6 x 8 = 48

Step-by-step explanation:

Answer:

What?

Step-by-step explanation:

is this your whole question?

Answer:

  91.2°

Step-by-step explanation:

There are several ways to find the a.pex angle of an isosceles triangle with all side lengths given. One of them is using the Law of Cosines:

  c² = a² +b² -2ab·cos(C)

Solving for the angle C, we find ...

  C = arccos((a² +b² -c²)/(2ab))

__

Here, we have a=b=14 and c=20. The angle is ...

  C = arccos((14² +14² -20²)/(2·14·14)) = arccos(-8/392)

  C ≈ 91.16938°

The interior angle at the peak of the roof is about 91.2°.

Answer/Step-by-step explanation:

the fibonacci sequence is {1, 1, 2, 3, 5, 8, 13, 21, 34…} and in the visual for the Golden Ratio, if you look those are the those are the numbers that basically equals the golden ration, 1.618.

Answer: D

Step-by-step explanation:

None of the above

Answer:

Step-by-step explanation:

d

If the actual tower is 125 meters wide, then the height will be approximately 325m

The ratio of the similar sides of the shape is equal to a constant.

If an Eiffel Tower mural is 2 meters high and 0.77 meters wide the  actual tower is 125 meters wide, then the new height will be expressed as;
2/0.77 = H/125

Cross multiply

0.77H = 2 * 125
0.77H = 250
H = 250/0.77
H = 325m

This means that if the actual tower is 125 meters wide, then the height will be approximately 325m

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point (2 ; 0) on Cf so f(2) = 0

point (0 ; 4) on Cf so f(0) = 4

point (-2 ; 0) on Cg so g(-2) = 0

Step-by-step explanation:

i will go you in the bank in co2 in the man

Hey there!

This grocer is mixing two kinds of coffee. I always love the smell of coffee!

We will say that x sells for $1.15 per pound and y sells for $2.75 per pound.

Altogether there are 24 pounds of coffee he is selling.

The algebraic equation would be x + y = 24

At $1.30 per pound, he will make 24 * $1.30 = $31.2

So, how many of the x and y kinds of coffee should he use to make the $1.30 per pound mixture which will net him $31.2?

The algebraic equation would be 1.15x + 2.75y = 31.2

We now have two equations :

x+y = 24

1.15x + 2.75y = 31.2

Substituting x= 24 -y in the second equation gives us

1.15(24-y) + 2.75y = 31.2

27.6 - 1.15y + 2.75y = 31.2

27.6 + 1.6y = 31.2

1.6y = 31.2 - 27.6

0.3y= 3.6

y= 2.25

x + y = 24

x + 2.25 = 24

x = 24 -2.25

x = 21.75

If y=2.25, then x= 21.75 as well.

So, he will use 21.75 pounds of the $1.15 per/lb one and another 2.25 pounds of the $2.75per/lb one.

~Done~

Answer:

Step-by-step explanation:

2n² + 2n - 12 = 0

in quadratic formula = n = 2, -3

[tex]2n^2+2n-12=0\\\\\implies n^2 +n-6=0\\\text{Apply quadratic formula,}~ n = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}. ~\\\\\text{In this case,}~ a=1,b=1, c= -6\\\\n=\dfrac{-1\pm\sqrt{1^2-4\cdot 1 \cdot -6}}{2\cdot 1}\\\\~~~=\dfrac{-1\pm\sqrt{1+24}}{2}\\\\~~~=\dfrac{-1\pm\sqrt{25}}{2}\\\\~~~=\dfrac{-1\pm5}{2}\\\\\text{Hence} ~ n=\dfrac{-1+5}{2} = 2 ~~\text{or}~~n = \dfrac{-1-5}2 = -3[/tex]

The mathematical word describing  both 27x and 6x in the expression  is "addition" or "sum"

The mathematical expression is 27x + 6x.

Mathematical expression are combinations of numbers and variables ordered with operations.

Mathematical expression is a combination of numbers, variables, operators (such as addition, subtraction, multiplication or division etc.).

For the given case, the terms are 27x and 6x and the expression formed from them is 27x + 6x.

This simply implies both terms are summed together to give the expression 27x + 6x.

Therefore, the mathematical word describing  both 27x and 6x in the expression  is "addition" or "sum"

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The supply equation of the company is an illustration of a quadratic function

The number of machines that must be made to minimize the unit cost is 150

The equation of the function is given as:

[tex]C(x) = 0.5x^2- 150x +20960[/tex]

Differentiate the function

[tex]C'(x) = x - 150[/tex]

Set to 0

[tex]x - 150 = 0[/tex]

Add 150 to both sides of the equation

[tex]x = 150[/tex]

Hence, the number of machines that must be made to minimize the unit cost is 150

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Answer:

25.12 feet cubed ~ 25ft^3

Step-by-step explanation:

You're doing a volume for a cone.

Volume of cone formula: 1/3 π r^2 h

You have given me the diameter of 4ft

Height of 6ft.

In order to solve this, you need to divide 4ft by 2ft because we need the radius rather than the diameter.

**The radius is half of the diameter.**

Our new radius is 2ft.

Formula: 1/3π2^2(6)

Now do the exponent first, 2 to the second power or 2 squared is 4.

You need to pull out your calculator.

Steps to calculate the volume:

Do 1 divided by 3 first

Then multiply that by 3.14

Multiply 4

Finally multiply 6

Your Volume for the cone is 25.12 feet cubed

Answer:

Step-by-step explanation:

For the rectangular prism:

V = l*w*h <== substitute the values (from above) for the variables

V = 5*8*3

V = 40*3

V = 120 cm^3 (cubed)

For the triangular prism:

V = 1/2*b*h*l <== substitute the values (from above) for the variables

V = 1/2*6*3*2

V = 3*3*2

V = 9*2

V = 18 cm^3 (cubed)

Hope helps!

Answer:

Y2-Y1

____

X2-X1

To FIND SLOPE. YOU DIVED THE DIFFERENCE OF THE Y- COORDINATES OF 2 POINTS ON LINE BY THE DIFFERENCE OF THE X- COORDINATES OF THOSE SAME 2 POINTS.

I THINK IT IS HELPFUL FOR YOU.?

Answer:

If your sales volume is increasing from 50 to 62 units a day. This is a 24% increase.

Step-by-step explanation:

To find this answer this is what I did:

[tex]\frac{(62-50)}{50} * 100 = (?)\\\\=\frac{12}{50} *100\\\\=24%[/tex]

24 = 24%

Hence, the percent increase from 50 to 62 is 24%.

** the "*" in the problem above represents multiplication **

I hope that this answer helps to answer your question completely. If there are any further questions please put them in the comments below and I will try my best to answer them If not, please have a great rest of your day/night.

Answer:

24%

If your sales volume is increasing from 50 to 62 units a day. This is a 24% increase. Step-by-step explanation:To find this answer this is what I did:24 = 24% Hence, the percent increase from 50 to 62 is 24%

Answer:

C - 75%

Step-by-step explanation:

6/8 = 75%

Answer:

If in a quadrilateral, each pair of opposite angles is equal, then it is a parallelogram. Given : ABCD is a quadrilateral in which ∠A = ∠C and ∠B = ∠D. We know that the sum of the angles of a quadrilateral is 360o.

Step-by-step explanation:

hope that helps

Answer: 32

Step-by-step explanation:

48 - 16 is 32

[tex]\sf 2^{-6}[/tex]

these two options apply

[tex]\rightarrow \sf \dfrac{1}{2^6}[/tex]

[tex]\rightarrow \sf 2^{-2} \ * \ 2^4 \ * \ 2^{-8}[/tex]

in decimals : 0.015625

Answer:

Option C and D

Step-by-step explanation:

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

Example:

If the given exponent is a⁻ᵇ, then the result will be 1/aᵇ.

This exponent includes a negative sign. To make the exponent positive, take the exponent's reciprocal and change the negative sign to a positive sign. The same will be done to the given expression.

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

First, take the exponent's reciprocal as said above.

⇒ [tex]2^{-6}[/tex]

⇒ [tex]\frac{1}{2^{-6} }[/tex]

Now, change the exponent's sign.

⇒ [tex]\frac{1}{2^{-6} }[/tex]

⇒ [tex]\frac{1}{2^{6} }[/tex]

Now, simplify the term.

⇒ [tex]\frac{1}{2^{6} }[/tex]

⇒ [tex]\frac{1}{2 \times 2 \times 2 \times 2 \times 2 \times 2} }[/tex]

⇒ [tex]\frac{1}{8 \times 8}[/tex]

⇒ [tex]\frac{1}{64}[/tex]

Using the simplified result we obtained, let's verify all the options to see which is equivalent to the term.

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

A)------------------------------------------------------------------------------------------------------

Keep in mind that the exponent is the number of times the base needs to multiply itself.

[tex]-2^{6} \rightarrow -2 \times -2 \times -2 \times -2 \times -2 \times -2[/tex]

NOTE: If there are even number of "-", then the result should be positive. If there are odd number of "-", then the result should be negative.

[tex]-2 \times -2 \times -2 \times -2 \times -2 \times -2[/tex]

⇒ [tex]2 \times 2 \times 2 \times 2 \times 2 \times 2[/tex]

⇒ [tex]64[/tex]

[tex]-2^{6} = 64 \neq \frac{1}{64}[/tex]

B)------------------------------------------------------------------------------------------------------

Since -64 is already a simplified term, we can compare this with the simplified result.

[tex]-64 \neq \frac{1}{64}[/tex]

C)------------------------------------------------------------------------------------------------------

[tex]\frac{1}{2^{6}}[/tex]

⇒ [tex]\frac{1}{2 \times 2 \times 2 \times 2 \times 2 \times 2 }[/tex]

⇒ [tex]\frac{1}{8 \times 8 }[/tex]

⇒ [tex]\frac{1}{64}[/tex]

[tex]\frac{1}{2^{6} } = \frac{1}{64} = \frac{1}{64}[/tex]

D)------------------------------------------------------------------------------------------------------

[tex]2^{-2} \times 2^{4} \times 2^{-8}[/tex]

⇒ [tex]\frac{1}{2^{2}} } \times 16 \times \frac{1}{2^{8} }[/tex]

⇒ [tex]\frac{1}{4} \times 16 \times \frac{1}{256}[/tex]

⇒ [tex]\frac{1}{4} \times 1 \times \frac{1}{16}[/tex]                                                                               [16² = 256]

⇒ [tex]\frac{1}{4} \times \frac{1}{16}[/tex]

⇒ [tex]\frac{1}{64}[/tex]

[tex]2^{-2} \times 2^{4} \times 2^{-8} = \frac{1}{64} = \frac{1}{64}[/tex]

E)------------------------------------------------------------------------------------------------------

[tex]2^{3} \times 2^{-2}[/tex]

⇒ [tex]2^{3 - 2}[/tex]

⇒ [tex]2^{1} = 2[/tex]

[tex]2^{3} \times 2^{-2} = 2 \neq \frac{1}{64}[/tex]

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

Answer:

  260

Step-by-step explanation:

The relationship between the number of standard versions and the total download can be written as ...

  2.3n +4.5(2n) = 2938 . . . . . twice as many high-quality songs (2n)

  11.3n = 2938 . . . . . . . . . simplify

  n = 2938/11.3 = 260 . . . divide by the coefficient of n

There were 260 downloads of the standard version.

x=-3+4

y=2-3

So it will be (1;-1)

Answer:

No

Step-by-step explanation:

1 foot = 12 in.

3 feet = 36 in.

36 / 9 is 4

4 is an integer

Therefore, none will be left

Answer:

No , there will not be any piece left

Step-by-step explanation:

No of feet :- 3 feet which is 36 inches

If we cut of 36 inches in part each of 9 inch we will get 4 parts of 9 inch

36/9 :- 4

4 is complete no. , so there wouldn't be any piece left .

Answer:

[tex]\sf 11,600,000,000,000 = 1.16 \times 10^{13}[/tex]

[tex]\sf 307,000,000=3.07 \times 10^{8}[/tex]

[tex]\sf 3.78\times 10^{4}[/tex]

Step-by-step explanation:

Scientific notation:  [tex]\sf a \times 10^b[/tex]

(where [tex]\sf 1 \leq |a| < 10[/tex] and b is the power of 10 required so that the notation is equivalent to the original number)

Move the decimal point back 13 places then multiply by [tex]\sf 10^{13}[/tex]:

[tex]\sf 11,600,000,000,000 = 1.16 \times 10^{13}[/tex]

Move the decimal point back 8 places then multiply by [tex]\sf 10^{8}[/tex]:

[tex]\sf 307,000,000=3.07 \times 10^{8}[/tex]

Divide the total debt by the population to calculate how much each person would owe if the debt was divided equally among everyone in the US:

[tex]\sf \dfrac{11,600,000,000,000}{307,000,000}=\dfrac{1.16 \times 10^{13}}{3.07 \times 10^{8}}=\dfrac{1.16}{3.07} \times \dfrac{10^{13}}{10^{8}}[/tex]

Apply exponent rule [tex]\dfrac{a^b}{a^c}=a^{b-c}[/tex]

[tex]\sf \dfrac{1.16}{3.07} \times \dfrac{10^{13}}{10^{8}}=0.3778501629... \times 10^{13-8}[/tex]

                   [tex]\sf =0.378\times 10^{5}[/tex]

                   [tex]\sf =3.78\times 10^{4}[/tex]

(remembering that the first part "0.378" needs to be equal to or greater than 1, but smaller than 10)

Answer:

292.5

Step-by-step explanation:

Since they are driving 65 miles for every hour, you can multiply the 65 miles by 4.5

So:

65 * 4.5 = 292.5

Answer:

4

Step-by-step explanation:

We can see that 9 households are represented in the data, 4 of them are zeros. This means 4 households in Cam's neighborhood have 0 children.

Answer:

What question are you talking about though

Answer:

Option A

Step-by-step explanation:

The median of the trapezoid is the line connecting the midpoints of the legs.The median of the trapezoid can be caculated by the fromula,

[tex]\bf Median = \dfrac{a +b}{2}[/tex]

Here, a and b are the base (parallel sides)

a = 13 inches & b = 19 inches

[tex]\bf Median = \dfrac{13+19}{2}[/tex]

              [tex]= \dfrac{32}{2}\\\\\\= 16 \ inches[/tex]

Answer as a fraction = 7/9 which is exact

Answer in decimal form = 0.778 which is approximate

=========================================================

Explanation:

The time gap from 8 to 15 is 15-8 = 7 minutes.

The time gap from 7 to 16 is 16-7 = 9 minutes.

Divide those differences: 7/9 = 0.778 approximately

The 7's go on forever, but rounding at some point will bump the last 7 to an 8.