A recording studio charges musicians an initial fee of $100 to record an album. Studio time cost an additional $1 per minute. Write and graph an equation that models the total cost of recording an album over one afternoon.

The value of y in the triangle is 2√10 units.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

The value of y can be found using the similar triangle ratios as follows:

Hence,

8 / y = y / 5

cross multiply

y² = 8 × 5

y²= 40

square root both sides of the equation

y = √40

Therefore,

y = 2√10 units

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im sorry: In order to solve the inequality -x > 8, which of the following steps must be done?

Equations are statements that have equal values, when compared

The true statement about \(x^2 + 10x = 11\) are x = 1 and x = -11

The equation is given as:

\(x^2 + 10x = 11\)

Rewrite as:

\(x^2 + 10x - 11 = 0\)

Expand

\(x^2 + 11x - x - 11 = 0\)

Factorize

\(x(x + 11) -1( x + 11) = 0\)

Factor out x + 11

\((x -1)(x + 11) = 0\)

Solve for x

x = 1 or x = -11

Hence, the true statement about \(x^2 + 10x = 11\) are x = 1 and x = -11

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umm....... I think it was exactly 2 head

Answer:

\(4 \frac{7}{72}\)

Step-by-step explanation:

\(18 \frac{7}{8} - 14 \frac{7}{9} =\\\\18 \frac{63}{72} - 14 \frac{56}{72} \\\\18 \frac{63}{72} = \frac{1359}{72} \\\\14 \frac{56}{72} = \frac{1064}{72}\\ \\\frac{1359}{72} - \frac{1064}{72} = \frac{295}{72}\\\\4 \frac{7}{72}\)

Answer:

A: 8

Step-by-step explanation:

The mode is the value that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all. ... The mode can be the same value as the mean and/or median, but this is usually not the case

The value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.

To find the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80, we can use polynomial long division. Let's perform the division step by step:

Write the dividend and divisor in polynomial long division format:

_________________________

x + 3 │ x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ...

Divide the leading term of the dividend (x^(2n-1)) by the leading term of the divisor (x). The result is x^(2n-1)/x = x^(2n-2).

Multiply the divisor (x + 3) by the quotient obtained in the previous step (x^(2n-2)). The result is x^(2n-2) * (x + 3) = x^(2n-1) + 3x^(2n-2).

Subtract the result obtained in step 3 from the original dividend:

x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ... - (x^(2n-1) + 3x^(2n-2)) = -3x^(2n-2) + 0x^(2n-3) + ...

Bring down the next term of the dividend (which is 0x^(2n-3)) and repeat steps 2-4 until the remainder is constant.

Since we are given that the remainder is -80, we can set the remainder equal to -80 and solve for 'n'.

-3x^(2n-2) + 0x^(2n-3) + ... = -80

Since the remainder is constant (-80), it means that all the terms with x have been canceled out in the division process. Therefore, we can deduce that the highest power of x in the divisor (x + 3) is 0.

This implies that x^(2n-2) = 0, and for any value of 'n', the exponent 2n-2 should be equal to zero. Solving this equation:

2n-2 = 0

2n = 2

n = 1

Therefore, the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.

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Answer:

134.3%

Step-by-step explanation:

Working out a percentage increase or decrease between the two numbers is pretty simple. The resulting number (the second input) is 750 and what we need to do first is subtract the old number, 320, from it:

750 - 320 = 430

Once we've done that we need to divide the result, 430, by the original number, 320. We do this because we need to compare the difference between the new number and the original:

430/320 = 1.343

We now have our answer in decimal format. How do we get this into percentage format? Multiply 2.3 by 100? Ding ding ding! We have a winner:

1.343 x 100 =  134.3%

Answer:

4.1 in

Step-by-step explanation:

\(V=\pi r^{2}\)

\(751=\pi r^{2}(10.7)\) now we multiply pi and 10.71- i left it in the hundreths

place when i get my final answer ill round it to the tenths)

\(751=33.62r^{2}\),  we need the \(r^{2}\) alone so we now dive with 33. 62 on both sides, elimenating the 33.62. Now 751/ 33.62= 16.98.

now we square root it

\(\sqrt{16.98}\) = 4.12 which rounded is 4.1

Answer:

solution given.:

radius=[r] let

height[h]=10.7in

volume[V] of cylinder=751 in³

π=3.14

we have

volume[V] of cylinder=πr²h

751=πr² ×10.7

r²=\( \frac{751}{10.7×3.14} \)

r=\( \sqrt{22.353} \)=4.73inch

so radius is 4.73in

The adjusted bank balance after reconciling is Br. 5,224.42.

To prepare the bank reconciliation, we have to analyze the differences between the bank statement balance and the company's ledger balance.

Details

Bank statement balance of Br. 4,964.47 at July 31.

Add: Deposit made after banking hours Br. 410.90

New balance: Br. 5,375.37.

Deduct Erroneously charged check of Br. 79

New balance Br. 5,296.37.

Deduct Outstanding checks:

Check No. 801 of Br. 100.00 (issued on June 15).

Check No. 888 of Br. 10.25 (issued on July 24).

Check No. 890 of Br. 294.50 (issued on July 27).

Check No. 891 of Br. 205.00 (issued on July 30).

Total outstanding checks: Br. 609.75.

New balance: Br. 4,686.62.

Deduct: Incorrectly charged amount of Br. 120.

Add: Correct amount of Br. 210.

Add: Proceeds from the collection Br. 500.

Add: Interest earned on the account balance  Br. 24.75.

Deduct: Returned check of Br. 10

Deduct: Fee charged by the bank for handling the collection Br. 5.00.

Deduct: Check from customer John Br. 50.25.

Deduct the service charge by the bank for the month of July of Br. 12.70.

New balance: Br. 5,224.42.

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Answer:

Step-by-step explanation:

Simplifying

3x + 5 = 3x + 7

Reorder the terms:

5 + 3x = 3x + 7

Reorder the terms:

5 + 3x = 7 + 3x

Add '-3x' to each side of the equation.

5 + 3x + -3x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0

5 + 0 = 7 + 3x + -3x

5 = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0

5 = 7 + 0

5 = 7

Solving

5 = 7

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

The volume of the cone is 13 cm³. option D

To determine the volume of the cone, we have that;

The formula for calculating the volume of a cone is expressed as;

Volume = (1/3)πr ²√(L ² - r ²).

Such that;

Substitute the values, we have;

Volume = 1/3 × 3.14 ² × √(25 - 9)

Find the squares, we get;

Volume, V = 1/3 × 9. 86 × √16

Find the square root

Volume, V = 1/3 × 9.86 × 4

Volume, V = 13 cm³

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Answer:

Distance between Amber and Claire's house = 17.63 blocks

Step-by-step explanation:

In this graph three points are showing the locations of Amber's, Betsey's and Claire's houses.

Each unit on the graph represents 1 block.

Amber walks from her house to Claire's house, then on to Betsey's house.  

We have to calculate the distance covered by Amber.

Since Distance from Claire's house to Betsey's house = 7 blocks = 7 units

and distance between Amber and Betsey's house = 8 blocks = 8 units

Now we will calculate the distance between Amber and Claire's house by Pythagoras theorem.

Distance² = 7² + 8² = 49 + 64 = 113

Distance = √113 units = 10.63 units

Therefore, total distance walked by Amber = 10.63 + 7 = 17.63 units = 17.63 blocks

Answer:

the answer might be 17. 63 because there are 7 blocks in between them so try that sorry if its wrong

So ummm. I kind of got this wrong, and I had to delete my answer, I swear, I am SOOOO sorry. If there is a way I can give your points back I will do so.

So um yeah, just ignore this.

The meaning of " It is easier to manipulate classes than formulas" is that it is  easier to work with objects that are grouped together into classes than it is to work with individual formulas.

The reason behind this is that classes enable consolidation of connected data and methods into one entity, which renders them simpler to comprehend and operate. Furthermore, it is possible to inherit classes, leading to improved code reusability and simplified development of intricate applications.

Typically, classes are a more potent and adaptable means of representing information compared to formulas. Hence, they find significant application in the realm of object-oriented programming languages.

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The list of elements in the sets are as follows:

A.  A ∩ B = {2, 9}

B. B ∩ C = {2, 3}

C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D. B ∪ C = {2, 3, 5, 7, 9, 10}

Set are defined as the collection of objects whose elements are fixed and can not be changed.

Therefore,

universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10​}

A = {1, 2, 7, 8, 9}

B = {2, 3, 5, 9}

C = {2, 3, 7, 10}

Therefore,

A.

A ∩ B = {2, 9}

B.

B ∩ C = {2, 3}

C.

A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D.

B ∪ C = {2, 3, 5, 7, 9, 10}

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Express 26% as a fraction:

26% = 26/100

The system of equations -9x+8y = 9x and 7y+8=8x is linear.

A system of equations is considered linear if each equation in the system is linear, meaning that the highest power of any variable in each equation is 1.

In this case, the first equation -9x+8y = 9x is linear because the highest power of any variable is 1 (x is raised to the first power).

Similarly, the second equation 7y+8=8x is also linear because the highest power of any variable is 1 (x is raised to the first power and y is not raised to any power).

Therefore, the system of equations is linear.

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Answer:

Step-by-step explanation:

I'll assume that all the angles are 90°, and there is no bottom to the box.

To determine the wood needed, calculate the surface area of the bed. Since there is no bottom or top to the box, the amount of wood is 2(45 in × 21 in) + 2(22 in × 21 in) = 1890 in² + 924 in² = 2814 in²

To determine the soil needed, calculate the volume of the box.

volume = 45 in × 21 in × 22 in = 20,790 in³

Answer:

a) y = 35

b) y = -25

c) Option D

Answer:

y = 35

y = -25

y = x^2

Step-by-step explanation:

y = 3x + 5

a) when x = 10, what is the value of y?

y = 3x +5

y = 3(10) + 5

y = 30 + 5

y = 35

b) when x= -10 what is the value of y?

y = 3x + 5

y = 3 (-10) + 5

y = -30 + 5

y = -25

c) y = x^2

because 10^2 = 100 and -10^2 = 100

Hope this helps!

Answer: C

Step-by-step explanation:

Answer:

width = 8

Step-by-step explanation:

to find the width of a rectangle you need to to the equation w= A ÷ l. when you put in the numbers you gets w = 96 ÷ 12.

96 ÷ 12 = 8 so w = 8

Answer:

The width is 8inches

Step-by-step explanation:

I used this question and it was right on my test.

Answer:

this shape is a pentagon. this is a regular shape because all the sides are even and all the angles on the inside are also even.

Step-by-step explanation:

pls mark brainliest!

Answer:

-36

Step-by-step explanation:

took the quiz,.

Answer:

14

Step-by-step explanation:

All you need to do is turn 70% into a decimal which is .70

Then multiply .70 and 20

.70*20

which gives you 14

The number is 14, which represents 70 percent of 20 is 14.

As we know that a percentage is normally calculated by dividing the component by the total and then multiplying by 100.

To find 70 percent of a number, we multiply the number by 70/100 or 0.7.

As per the question, we want to find 70 percent of 20.

So, we have:

70% × 20 = (70/100) × 20

To simplify the calculation, we can convert the percentage to a decimal by dividing 70 by 100, which gives us 0.7:

(70/100) × 20 = 0.7 × 20

Multiplying 0.7 by 20, we get:

0.7 × 20 = 14

Therefore, 70 percent of 20 is 14.

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Answer:

C

Step-by-step explanation:

All sides make a cube

Answer:

D

Step-by-step explanation:

if you have a 90 th you get in

Given the equation:

Let's find the x-intercepts and the y-intercepts of the graph.

• x-intercept:

The x-intercept are the points where the parabola crosses the x-axis. At x-intercept the y-value is zero.

To find the x-intercepts, substitute 0 for y and solve for x.

We have:

Rewrite the equation:

Factor the left hand side of the equation:

Equate each factor to zero:

x - 3 = 0

Add 3 to both sides:

x - 3 + 3 = 0 + 3

x = 3

x + 2 = 0

Subtract 2 from both sides:

x + 2 - 2 = 0 - 2

x = -2

Therefore, the x-intercepts are:

3, -2

• y-intercept:

The y-intercept is the point where the parabola crosses the y-axis. The x-value at the y-intercept is zero.

To find the y-intercept, substitute 0 for x and solve:

Therefore, the y-intercept is -6.

In point form:

x-intercept: (3, 0), (-2, 0)

y-intercept: (0, -6)

ANSWER:

A. The x-intercepts are (3, 0), (-2, 0)

A. The y-intercept is (0, -6)

Answer:

-9/7.

Step-by-step explanation:

√81 = 9 and √49 = 7

but we need the negative square root

which is -9/7.