A rectangular dance floor has an area of 96 square feet and a length of 8 feet. What is the width of the dance floor?

Answer:

12144

Step-by-step explanation11213123:

Answer:

What culture is your piece of art from?

Italian Renaissance

Why did you choose this piece?

Beacuse its a beautiful piece of artwork made by one of my favorite artist.

Step-by-step explanation:

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Explanation:

If the money is compounded semiannually at a rate of 8%, then this means the multiplier (common ratio) is b = 1+r/n = 1+0.08/2 = 1.04

In short, b = 1.04 is our growth multiplier. It says that the money is growing by 4% each 6 month period. Each time x goes up by 1, y increases by 4%. The starting amount is a = 2100 dollars.

We go from the template of [tex]y = ab^x[/tex] to [tex]y = 2100(1.04)^x[/tex]

Use that equation to fill out the table. For instance, if x = 2 then,

[tex]y = 2100(1.04)^x\\\\y = 2100(1.04)^2\\\\y = 2100(1.0816)\\\\y = 2271.36\\\\[/tex]

Meaning that after 2 semiannual periods (aka 2*6 = 12 months = 1 year), we'd have $2,271.36 in the account.

Repeat this for the other x values mentioned to get the table shown below. To fill out the final column of the first row, you'll look at the very bottom of the table in the previous column. Four semiannual periods is equal to 2 years.

--------------

These steps are repeated for the second row of the table.

This time the growth multiplier is b = 1 + r/n = 1 + 0.14/12 = 1.0116667 approximately. The starting amount is a = 700

So that's how we go from [tex]y = ab^x[/tex] to [tex]y = 700(1.0116667)^x[/tex]

Like before, you'd plug in the various x values to find their paired y counterparts.

Example:

Plug in x = 18

[tex]y = 700(1.0116667)^x\\\\y = 700(1.0116667)^{18}\\\\y = 700(1.2321801)\\\\y = 862.52607\\\\y = 862.53\\\\[/tex]

The values are approximate. After 18 months, aka 18/12 = 1.5 years = 1 yr + 6 months, we'd have about $862.53 in the account.

Answer:

C is true

Step-by-step explanation:

The only true answer is C.

If a is 2 times greater than b, then:

A. is not possible because both sides are equal

B. is not possible because b is 2 times greater

D. is not possible because both sides are equal

Answer:

8f-14g is the answer

Step-by-step explanation:

I too hunder percent agree

Answer:

f<−1+15/x

Step-by-step explanation:

Answer:

  x+3 is not a factor

Step-by-step explanation:

A graphing calculator shows the expression has a zero at x=3 and no other real zeros. If x+3 were a factor, there would be a zero at x = -3.

  x+3 is not a factor of the expression.

_____

You can check to see if x+3 is a factor by evaluating the expression for x=-3. If (x+3) is a factor, x=-3 will make the function be zero.

  3(-x³ +2x² +2x +3) = 3(((-x +2)x +2)x +3) = 3(((-(-3)+2)(-3) +2)(-3) +3)

  = 3((-15+2)(-3) +3) = 3(39 +3) = 126 ≠ 0

The expression evaluates to 126 at x=-3, so x+3 is NOT a factor.

The power set P(X) of a finite set X is the set of all possible subsets of X. If X has n elements, then it has a total of 2ⁿ subsets.

For the set S = {1, 2, 3, 4, 5}, we have

• subsets with cardinality 0:

{ } (the empty set)

• subsets with cardinality 1:

{1}, {2}, {3}, {4}, {5}

• subsets with card. 2:

{1, 2}, {1, 3}, {1, 4}, {1, 5}, {2, 3}, {2, 4}, {2, 5}, {3, 4}, {3, 4}, {4, 5}

• subsets with card. 3:

{1, 2, 3}, {1, 2, 4}, {1, 2, 5}, {1, 3, 4}, {1, 3, 5}, {1, 4, 5}, {2, 3, 4}, {2, 3, 5}, {2, 4, 5}, {3, 4, 5}

• subsets with card. 4:

{1, 2, 3, 4}, {1, 2, 3, 5}, {1, 2, 4, 5}, {1, 3, 4, 5}, {2, 3, 4, 5}

• subsets with card. 5:

{1, 2, 3, 4, 5}

Then P(S) is the set containing all of these sets,

{{}, {1}, {2}, {3}, …, {1, 2, 3, 4, 5}}

Answer:

? = 36

Step-by-step explanation:

Knowing that 3/5 and 24/40 is equal

Therefore we can either use:

3/5 = ?/60 or 24/40 = ?/60

I will use 3/5 = ?/60

Let ? = x

Hence we have

3/5 = x/60

Multiply both sides by 10

6 = x/6

Multiply both sides by 6

x = 36

Therefore, the question mark = 36

Let's check the answer by Simplifying the fraction:

3/5 = 36/60

3/5 is in already simplify

36/60 simplify = 3/5

3/5 = 3/5

Thus, the question mark = 36

[RevyBreeze]

Step-by-step Solution:

Let the "?" be known as "x".

Given equation:

3/5 = 24/40 = x/60

Therefore, we obtain the following equations:

Clearly, the second and the third equation have the "x" variable included. Therefore, we will only focus on the second and third equations.

Note: We can choose any equation to solve for x. The value of x in both equations will be the same as 3/5 = 24/40.

Determining the "x" variable in Equation 2:

Determining the "x" variable in Equation 3:

Therefore, the value of "?" is 36.

Answer:

94

Step-by-step explanation:

7*78 + x = 8*80

x = 94

Or, think that he was short 2 points on each of 7 tests, so he has to make them all (14) up on the last test.

Answer:

C

Step-by-step explanation:

Exponential form is y = b^x, with b as the base, and logarithmic form is x = log_b(y).

In this case, 10 is the base, 4 is x, and 10,000 is y. In logarithmic form, this can be changed into 4 = log_10(10,000). Logarithms with base 10 can also be written as 4 = log(10,000). Therefore C is the correct answer.

Answer:

. 0625

Step-by-step explanation:

1/2^4

or

1/16

just doing half life

Answer:

False (no)

Step-by-step explanation:

A polygon needs at least three straight sides and angles

Answer:

0.0833... inches longer or 1/12

Step-by-step explanation:

7/12=0.583

1/2 but multiplied by 6 is 6/12

so 7/12-6/12=1/12 longer or 0.0833-

Simplify the integrand

[tex]\dfrac{1-\sin^2(t)}{\sin^2(t)} = \dfrac{\cos^2(t)}{\sin^2(t)} = \cot^2(t)[/tex]

Recall the derivative of csc(t),

[tex]\dfrac d{dt} \csc(t) = -\cot^2(t)[/tex]

It follows that

[tex]\displaystyle \int \frac{1-\sin^2(t)}{\sin^2(t)} \, dt = \int \cot^2(t) \, dt = \boxed{-\csc(t) + C}[/tex]

Answer:

1. you will multiply base times height:

16m * 12m = 192 sq m

2. same steps but just multiply it by two because its "twice as long"

18 cm * 6 cm = 108 * 2= 216

3. now for this one sice we are finding the base we will have to divide the 432 by 18 = 24

4. same steps like in question 1:  

12 * 5 = 60

5. same steps like in question 1:

7 * 10 = 70

Step-by-step explanation:

hope this helps and have a great day!! :)

The expression for the total time is:

T =  (324/34x).

He does 18 laps in total.

The average rate for the whole 18 laps is the average of the rates (taking in account the number of laps made with each) so we get:

average rate = (8/18)*3x + (10/18)*x = (34x/18)

This means that he does (34x/18) laps per hour.

Then, the time needed to do 18 laps is:

T = (18/(34x/18)) = (324/34x).

If you want to learn more about rates:

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The answers are:

Second option, evaluating x=-1

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

Fifth option, evaluating x=6

[tex]g(6)=\frac{3}{2}[/tex]

We are given a table that shows the values for the given function (f(x), and we are asked to find the solution of an equivalent function (g(x)).

We have that:

[tex]g(x)=\frac{1}{2}f(x)[/tex]

Now, evaluating we have:

For x=-3

[tex]g(-3)=\frac{1}{2}f(-3)=\frac{1}{2}*5=2.5[/tex]

We have the values (-3,2.5) so, it's not part of the solutions to the  function g(x).

For x=-1

[tex]g(-1)=\frac{1}{2}f(-3)=\frac{1}{2}*-4=-2[/tex]

We have the values (-1,-2) so,  it's part of the solutions to the function g(x).

For x=0

[tex]g(0)=\frac{1}{2}f(0)=\frac{1}{2}*2=1[/tex]

We have the values (0,1) so, it's not part of the solutions to the function g(x).

For x=5

[tex]g(5)=\frac{1}{2}f(5)=\frac{1}{2}*-8=-4[/tex]

We have the values (5,-8) so, it's not part of the solutions to the function g(x).

For x=6

[tex]g(6)=\frac{1}{2}f(6)=\frac{1}{2} *3=\frac{3}{2}[/tex]

We have the values [tex](6,\frac{3}{2})[/tex] so, it's part of the solutions to the function g(x).

Hence, we have that the answers are:

Second option, evaluating x=-1

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

Fifth option, evaluating x=6

[tex]g(6)=\frac{3}{2}[/tex]

Have a nice day!

Answer:

C

Step-by-step explanation:

looked up on Quizlet so yeah

Given:

In Δ[tex]WXY,m < Y=90^o,WY=3,XW=5[/tex] and [tex]YX=4[/tex].

To find:

The ratio represents the cosine of ∠[tex]W[/tex].

Solution:

In Δ[tex]WXY,m < Y=90^o[/tex]. It means the opposite side of angle Y, i.e., XW is the hypotenuse of the triangle.

In a right angle triangle,

[tex]cos0=\frac{Base}{Hypotenuse}[/tex]

In the given triangle,

[tex]cosW=\frac{XY}{YW}[/tex]

[tex]cosW=\frac{3}{5}[/tex]

Therefore, the required cosine ratio is [tex]\frac{3}{5}[/tex].

Answer: the answer is c which is 61 ¾ inches .

Step-by-step explanation: what I did that I made 62 ½ minus ¾ and it gave 61 ¾ inches, to know how many inches did she grew at the beginning of the year . I hope my answer is correct . Please give brainliest . Thanks .

Answer: it is -1, because y has no more complete prime factors

Step-by-step explanation:

Answer:

0.5656854249

Step-by-step explanation:

1000(0.0128/200)

1000(0.11314/200)

1000(0.0005656854)

=0.5656854249

In a golden rectangle, the sides of the rectangle are as per the golden ratio. The perimeter of the golden rectangle with a width of 15 feet is 79 feet.

In a golden rectangle, the sides of the rectangle are as per the golden ratio. The rectangle is given the name rectangle because of the fact that the ratio is the golden number 1.618.

In a golden rectangle, the sides of the rectangle are as per the golden ratio. Since the width of the rectangle is 15 feet, therefore, the length of the rectangle will be 1.618 times the width,

Length of the rectangle = 1.618 × 15 feet = 24.27 feet

Now, the perimeter of the rectangle can be written as,

[tex]\rm \text{Perimeter of the rectangle} = 2(Length+ Width) \\\\\text{Perimeter of the rectangle} = 2(24.27+15)\\\\\text{Perimeter of the rectangle} = 78.54 \approx 79\ feet[/tex]

Hence, the perimeter of the golden rectangle with a width of 15 feet is 79 feet.

Learn more about Golden Rectangle:

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Answer:

88°

Step-by-step explanation:

RULES:

so.

because of rule 1, we do 180-120 to get 60, to get that right corner angle. Now, we know 2 angles. So, (because of rule 2), we can do 60+32 = 92, and 180-92 = 88

So, 1 = 88

Hope this helps! If it doesn't make sense, feel free to ask me to explain it further.

- profparis

Answer:

The correct answer is C.56.

Hope this helps you czn!!!!

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