Jack earns $10 per hour moving lawns

Answer:

3x+40

Step-by-step explanation:

(-5x+106)+(8x-66)

-5x+8x+106-66

3x+40

The score the student must get on the next test to get a C average or better is 86.

From the information given the pass a course with a C grade, a student must have an average of 70 or greater and students grades on three test are 60,71, and 63.

The next score will be calculated as x.

60 + 71 + 63 + x = (70 × 4)

194 + x = 280

x = 280 - 194

x = 86

Therefore, the next score must be 96.

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Answer:

11/12

Step-by-step explanation:

2/3+1/4

8+3/12

=11/12

A semicircle has been cut out of a rectangular paperboard that is 20 inches long and 12 inches broad, as seen below. After the semicircle is taken out, the paperboard's remaining perimeter is 34.58 inches.

The paperboard has a length of 20 inches and a width of 12 inches. A semicircle is cut out of it, which means we need to find the perimeter of the remaining part.

The diameter of the semicircle is equal to the width of the paperboard, which is 12 inches. So, the radius of the semicircle is half of the diameter, which is 6 inches.

The perimeter of the remaining part will be the sum of the length of the paperboard and the two straight sides of the semicircle.

The length of the paperboard is 20 inches, and the two straight sides of the semicircle are equal to the diameter of the semicircle, which is 12 inches. So, the perimeter of the remaining part is:

P = 20 + 12 + 12 = 44 inches

However, we also need to subtract the length of the curved part of the semicircle from the perimeter. The length of the semicircle can be found using the formula:

C = πr

where C is the circumference of the semicircle and r is the radius.

Since we have a semicircle, we need to divide the circumference by 2. So, the length of the curved part of the semicircle is:

C/2 = (π x 6) / 2 = 9.42 inches (rounded to two decimal places)

Therefore, the perimeter of the remaining part is:

P = 44 - 9.42 = 34.58 inches (rounded to two decimal places)

So, the perimeter of the remaining paperboard is 34.58 inches.

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The correct statement regarding the relative extremas of the function are given as follows:

A. f has a local maximum at x = 0 and local minimums at x = -5 and x = 6.

The relative extremas of a function are the values of x for which the derivative of the function assumes a value of zero.

The derivative of the function in this problem is given as follows:

f'(x) = 2x(x + 5)(x - 6).

Hence the zeros of the derivative are given as follows:

Then the signal of the derivative in each interval are given as follows:

The local minimums happen when the function changes from decreasing to increasing, hence they are given at:

x = -5 and x = 6.

The local maximums happen when the function changes from increasing to decreasing, hence they are given at:

x = 0.

Hence statement A is correct.

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Answer:

45

Step-by-step explanation:

Answer:

3 hours

Step-by-step explanation:

the speed of the river current is 80% less

80% of 60 is 48

so the speed is now 48 mph, because the river is pushing the boat back (duh)

144 miles/ 48 mph is 3 hours.

\( \frac{(1 - \cos(a))(1 + \cos(a)) }{(1 - \sin(a) )(1 + \sin(a)) } = \\ \)

\( \frac{1 - {cos}^{2}(a) }{1 - {sin}^{2}(a) } = \\ \)

\( \frac{ {sin}^{2}(a) }{ {cos}^{2}(a) } = \\ \)

\( {tan}^{2} (a)\)

Answer:

\(\huge\boxed{Option \ 1}\)

Step-by-step explanation:

Since, AE = CE and BE = DE , then E is the midpoint of AC and BD. Causius can use that to show that AC and BD bisect each other which means that they both are the diagonals of a parallelogram bisecting each other. Hence, It will be proved that ABCD is a || gm.

Hope this helped!

The solution of the expression, \(x^{\frac{9}{7} }\) is \(\sqrt[7]{x^{9} }\).

An expression is a combination of numbers, variables, functions such as addition, subtraction, multiplication or division etc.

Therefore, let's rewrite the expression to it's equivalent expression.

An equivalent expression is an expression that has the same value or worth as another expression, but does not look the same.

Therefore, using indices rule

\(x^{\frac{9}{7} }\) = \(\sqrt[7]{x^{9} }\)

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Answer:

49.98

Step-by-step explanation:

Answer:

If we have a function f(x) that has an inverse g(x), we have the relations:

f( g(x)) = x

g( f(x)) = x

Then if the coordinates for the function f(x) are points like (x₁, y₁)

The coordinates for the inverse, g(x), will be (y₁, x₁)

Now let's look at the table, here we can see that the coordinates for f(x) are:

(0, 650)

(100, 550)

(200, 450)

(340, 310)

(650, 0)

Then the coordinates of the inverse function will be:

(650, 0)

(550, 100)

(450, 200)

(340, 310)

(0, 650)

Calista's grade on her last assignment is 98.

To determine Calista's grade on her last assignment, we can calculate the average grade using the given information.

The sum of Calista's grades on the first five assignments is: 62 + 88 + 92 + 74 + 78 = 394.

Since the average grade is given as 82, we can find the total sum of all six assignments by multiplying the average grade by the number of assignments, which is 6: 82 * 6 = 492.

To find Calista's grade on her last assignment, we subtract the sum of her grades on the first five assignments from the total sum: 492 - 394 = 98.

To determine Calista's grade on her last assignment, we can calculate the average grade using the given information.

The sum of Calista's grades on the first five assignments is: 62 + 88 + 92 + 74 + 78 = 394.

Since the average grade is given as 82, we can find the total sum of all six assignments by multiplying the average grade by the number of assignments, which is 6: 82 * 6 = 492.

To find Calista's grade on her last assignment, we subtract the sum of her grades on the first five assignments from the total sum: 492 - 394 = 98.

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Answer:

  $4918

Step-by-step explanation:

You want the tax owed on $90,000 using the given tax rate table.

The tax is the sum of the amounts of tax due in each income range.

  tax = 0.0575(90,000 -17,000) +0.05(17,000 -5000) +0.03(5000 -3000) +0.02(3000)

  = 0.0575(90,000) -(17000(.0575 -.05) +5000(.05 -.03) +3000(.03 -.02))

  = 0.0575(90,000) -(127.50 +100 +30)

  = 5175 -257.50 = 4917.50

Rounded to the nearest dollar, the tax due is $4,918.

__

Additional comment

The tax will be the maximum of ...

You can compute them all and find the maximum, or you can choose the function applicable to the income amount. The result is the same.

<95141404393>

The principal in this scenario is $ 8000.

Simple Interest can be defined as the sum paid back for using the borrowed money, over a fixed period of time.

Compound Interest can be defined as when the sum principal amount exceeds the due date for payment along with the rate of interest, for a period of time.

It is Given that:

Priscilla invested 20,000 that means the total amount she invested.

Amount= $ 20,000

Rate of interest=12%

Time= 5 year

Interest= $12,000.

By the formula;

Amount =  principal + Interest

Principal = Amount - Interest

Principal= $ 20,000- $12,000

Principal=$ 8000

Hence, the principal in this scenario is $ 8000.

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Using the height and radius given, the surface area of the cylinder is 408.2m²

The surface area of a cylinder is the combined area of its curved surface (lateral surface) and its two circular bases. The formula for the surface area of a cylinder is:

A = 2πrh + 2πr²

where:

In the given question, the data are;

Substituting the value into the formula

A = 2π(5 * 8) + 2π(5)²

A = 408.2m²

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Step-by-step explanation:

2x²+11=131

2x²=131-11

2x²=102

x²=102

2

x²=51

x=√51

Answer:  -4m + 4n

4m - 8m = -4m

-2n + 6n = 4n

Answer:

-4m+4n

Step-by-step explanation:

(next time just ask m aa thw aa y)

9514 1404 393

Answer:

  9.1 cm

Step-by-step explanation:

The law of cosines can be used to find the missing side.

  l² = m² +n² -2mn·cos(L)

  l² = 8² +2.8² -2(8)(2.8)cos(103°) ≈ 81.9178

  l ≈ √81.9178 ≈ 9.0508

The length of l to the nearest tenth centimeter is 9.1 cm.

Answer:

first statement

Step-by-step explanation:

The second, third and fourth statements are false because for any number, the number itself is also a factor. Therefore, the answer is the first statement.

Answer: 28th batter

Step-by-step explanation: If she were to ever make it to the 28th batter, it would mess up the pattern because she wouldn’t be able to throw both at the same time. 7 x 4 = 28

Answer:

\(\frac{5}{8}\)

Step-by-step explanation:

We can convert both of these fractions into decimals to see which is greater:

\(5/8=0.625\)

\(7/13=0.53846153846\)

We can say \(\frac{5}{8}\) is greater.

Another way of finding this out is simply remembering the smaller the fraction looks, the bigger it actually is, which prevents us from having to do arithmetic with the fractions.

As a result,

\(\frac{5}{8} > \frac{7}{13}\)

Answer:

+18,000

Step-by-step explanation:

Answer:

population of a certain city is increased by 10,000 people. write

a signed number to represent this population change.

a car corporation produced 920 fewer cars this month than last. write a signed number to represent this months change in production

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

The other graphs answers have a point at (3, 1) which is not on the graph.

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

Answer:

=91

Step-by-step explanation:

Answer:1236.4 ft^3

Step-by-step explanation:

height=h=7ft

Diameter=15ft

Radius=r=15/2=7.5ft

Volume of cylinder=π x r^2 x h

Volume of cylinder=3.14 x (7.5)^2 x 7

Volume of cylinder=3.14x7.5x7.5x7

Volume of cylinder=1236.375

Volume of cylinder=1236.4 ft^3

The corresponding areas under the curves for y = 2x-x² in the interval [1, 2] and y = x³-6x²+8x in the interval [0, 4] are 2/3 unit² and 0 unit²

Given:

1. y = 2x-x² in the interval [1, 2]

2. y = x³-6x²+8x in the interval [0, 4]

In order to find  the area under the curve for these functions for the given intervals, we will take the integral of the functions and use the intervals as upper and lower limits: Thus:

y = 2x-x² in the interval [1, 2]  will be:

\(\int\limits^2_1 {2x-x^{2} } \, dx = \left[\frac{ 2x^2}{2}-\frac{ x^3}{3}\right]_1^2\)

                   \(= \left[x^{2} -\frac{ x^3}{3}\right]_1^2\)

Substitute the value of the upper and lower limits into x:

               =  [2²- 2³/3] - [1²- 1³/3]

              =   [4 - 8/3] - [ 1 - 1/3]

              =   [4/3] - [2/3]

              = 2/3 unit²

y = x³-6x²+8x in the interval [0, 4] will be:

 \(\int\limits^4_0 {x^{3} -6x^{2} + 8x } \, dx = \left[\frac{ x^4}{4}-\frac{ 6x^3}{3}+\frac{ 8x^2}{2}\right]_0^4\)

                               \(= \left[\frac{ x^4}{4}- 2x^3+4x^2\right]_0^4\)

                              = [4⁴/4 - 2(4)³ + 4(4)²] - [0⁴/4 - 2(0)³ + 4(0)²]

                              =  [ 64 - 128 + 64] - [0 - 0 -0]

                              = 0 unit²

Therefore, the areas under the curves y = 2x-x² in the interval [1, 2]

and y = x³-6x²+8x in the interval [0, 4] are 2/3 unit² and 0 unit² respectively

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