josh earned $30,000 last year if the tax rate was 15%,how much money can he keep after taxes

Answer:

11

Step-by-step explanation:

You're supposed to do 88 divided by 8 and you get 11!

Answer:

3x^2 + 6x

Step-by-step explanation:

Just distribute

3x(x + 2)

3x(x) = 3x^2

3x(2) = 6x

3x^2 + 6x

It should be noted that writing 6300kg in grams, and giving your answer in standard form is 6.3 × 10^6.

From the information, a bricklayer needs to order 6300kg of building sand. Write 6300kg in grams, giving your answer in standard form.

1 kilogram = 1000 grams

6300 kilograms = x grams

6300 × 1000 = x

x = 6,300,000 grams

Therefore, writing 6300kg in grams, and giving your answer in standard form is 6.3 × 10^6.

Learn more about standard form on:

https://brainly.com/question/19169731

#SPJ1

Answer:

48\(\pi\) cubic feet

Step-by-step explanation:

Have a good day :)

The correct option to model the height is

h = cosine (StartFraction pi Over 6 EndFraction t) + 9.

Here the height of the tip of the hour hand of a wall clock follows a cosine function as the time progresses since the hour hand of a clock completes one full revolution in 12 hours.

We will use the general form of a cosine function to model the height has a function of time t:

Where A is the amplitude, B is the frequency and C is the vertical shift  

Here we have

The height, h, in feet of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet.

Hence, the applitude A = [9+10]/2 = 0.5.

The period of a cosine function is given by 2π/B,

Since the hour hand completes one full revolution in 12 hours, the period is 12 hours or 2π.

=> B = π/6.

The vertical shift is C = 9.

Thus, the equation that models the height h as a function of time t is:

h = 0.5 cos(π/6 t) + 9.

Therefore,

The correct option to model the height is

h = cosine (StartFraction pi Over 6 EndFraction t) + 9.

Learn more about Equation of height at  

https://brainly.com/question/3586034

#SPJ1

The dimensions that will result in a solid with maximum volume are approximately x = 12.02 centimeters and h = 5.01 centimeters.

Let the side of the square base be x, and let the height of the rectangular solid be h. Then, the surface area of the solid is given by:

Surface area = area of base + area of front + area of back + area of left + area of right

Surface area = x² + 2xh + 2xh + 2xh + 2xh = x² + 8xh

We are given that the surface area is 433.5 square centimeters, so we can write: x² + 8xh = 433.5

We want to find the dimensions that will result in a solid with maximum volume. The volume of the solid is given by:

Volume = area of base × height = x² × h

We can use the surface area equation to solve for h in terms of x:

x² + 8xh = 433.5

h = (433.5 - x²)/(8x)

Substituting this expression for h into the volume equation, we get:

Volume = x² × (433.5 - x²)/(8x) = (433.5x - x³)/8

To find the maximum volume, we need to find the value of x that maximizes this expression. To do this, we can take the derivative of the expression with respect to x, set it equal to zero, and solve for x:

d(Volume)/dx = (433.5 - 3x²)/8 = 0

433.5 - 3x² = 0

x² = 144.5

x = sqrt(144.5) ≈ 12.02

We can check that this is a maximum by computing the second derivative of the volume expression with respect to x:

d²(Volume)/dx² = -3x/4

At x = sqrt(144.5), this is negative, which means that the volume is maximized at x = sqrt(144.5).

Substituting x = sqrt(144.5) into the expression for h, we get:

h = (433.5 - (sqrt(144.5))²)/(8×sqrt(144.5))

h = 433.5/(8×sqrt(144.5)) - sqrt(144.5)/8

h = 5.01

Learn more about volume here:

https://brainly.com/question/6286323

#SPJ11

The dimensions of the rectangular solid that will result in a maximum volume are approximately.\(6.34 cm \times 9.03 cm \times 9.03 cm.\)

Let's assume that the length, width, and height of the rectangular solid are all equal to x, so the base of the solid is a square.

The surface area of the rectangular solid can be expressed as:

\(SA = 2xy + 2xz + 2yz\)

Substituting x for y and z, we get:

\(SA = 2x^2 + 4xy\)

We are given that the surface area is 433.5 square centimeters, so:

\(2x^2 + 4xy = 433.5\)

Simplifying, we get:

\(x^2 + 2xy - 216.75 = 0\)

Using the quadratic formula to solve for y, we get:

\(y = (-2x\± \sqrt (4x^2 + 4(216.75)))/2\)

\(y = -x \± \sqrt (x^2 + 216.75)\)

Since the base of the rectangular solid is a square, we know that y = z. So:

\(z = -x \± \sqrt(x^2 + 216.75)\)

The volume of the rectangular solid is given by:

\(V = x^2y\)

Substituting y for\(-x + \sqrt (x^2 + 216.75),\) we get:

\(V = x^2(-x + \sqrt(x^2 + 216.75))\)

Expanding and simplifying, we get:

\(V = -x^3 + x^2\sqrt(x^2 + 216.75)\)

The dimensions that will result in a solid with maximum volume, we need to find the value of x that maximizes the volume V.

We can do this by taking the derivative of V with respect to x, setting it equal to zero, and solving for x:

\(dV/dx = -3x^2 + 2x\sqrt(x^2 + 216.75) + x^2/(2\sqrt (x^2 + 216.75)) = 0\)

Multiplying both sides by \(2\sqrt (x^2 + 216.75)\) to eliminate the denominator, we get:

\(-6x^2\sqrt (x^2 + 216.75) + 4x(x^2 + 216.75) + x^3 = 0\)

Simplifying, we get:

\(x^3 - 6x^2\sqrt (x^2 + 216.75) + 4x(x^2 + 216.75) = 0\)

We can solve this equation numerically using a graphing calculator or computer software.

\(The solution is approximately x = 6.34 centimeters.\)

Substituting x = 6.34 into the expression for y and z, we get:

\(y = z \approx 9.03 centimeters\)

For similar questions on rectangular

https://brainly.com/question/19819849

#SPJ11

Answer:

The answer to your question is 3/10

How do you compare fractions?

First lets find similar fractions

2.5/10 = 25/100 We know that.

Since 3/10 is bigger that 2.5/10 by .5 it would basically conclude that 3/10 is greater/bigger the the fraction 25/100.

Answer:

$2499/20 or $124.95

Step-by-step explanation:

Here the cloth of cost per meter is $147/4

and the cost of 17/5 meters of cloth is (147/4)×(17/5) (147*17)/(4*5)

2499/20 or 124.95

hence the cost of 17/5 meters is $2499/20 or $124.95

The points p(3, –2), q(10, –2), and r(3, –8) are the vertices of a triangle, then, The length of the side RQ will be 9.22 units.

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

\(D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\)

The length of side RQ will be,

\(\rm Length = \sqrt{(3-10)^2+(-8-(-2))^2}\\\\Length=\sqrt{49+36}\\\\Length = \sqrt85\\\\Length = 9.22\)

Hence, the length of the side RQ will be 9.22 units.

Learn more about the Distance between two points:

brainly.com/question/16410393

#SPJ4

Answer:92.84

Step-by-step explanation: 39+27+13.5+13.5 because the two sides are longer than 12

The perimeter of the trapezium is 143.94 ft.

We have,

The perimeter of an isosceles trapezium can be found by adding the lengths of all four sides.

In this case, the trapezium has height = 12 ft and parallel sides of length 27 ft and 39 ft.

To find the length of the non-parallel sides we can use the Pythagorean theorem:

a² = (39 - 27/2)² + 12²

a² = 1440

a ≈ 37.95 ft

Therefore,

The perimeter of the trapezium is:

P = 27 + 39 + 2a

P ≈ 27 + 39 + 2(37.95)

P ≈ 143.9 ft

Rounding to the nearest hundredth place,

we get P ≈ 143.94 ft.

Thus,

The perimeter of the trapezium is 143.94 ft.

Learn more about trapezium here:

https://brainly.com/question/22607187

#SPJ7

Answer:

Quadratic

Step-by-step explanation:

Not adding or multiplying

So the value of x is 4.8

15x + 48= 120

Now we send the 48 on the right side.

15x= 120-48.

Here we subtract 48 from 120 we get

15x= 72

In the next step we divide the both sides with 15

15x/15= 72/15

x=4.8

So the value of x is 4.8  

To know more about the topic please click here.

https://brainly.com/question/19586439

Answer:

X=5

Step-by-step explanation:

(10x - 5)+(12x+30)+(7x+10)= 180 ... (sum of angles in a triangle)

=29x+35=180 ... (adding and subtracting only the like terms)

29x=180-35

29x = 145

(divide both sides by the coefficient of x "29")

Therefore x = 5

Then substitute the value of x (which is 5) into the expression of angles given.

Measurement of angle A:

10x-5

=10(5)-5

=50-5

=45°

Measurement of angle B:

12x+30

=12(5)+30

=60+30

90°

Measurement of angle C:

7x+10

=7(5)+10

=35+10

=45°

\(\frac{AB}{A"B"} = \frac{1}{4}\)  equation clearly illustrates how AABO and AA"B"C relate to one another.

An equation is, for instance, 3x - 5 = 16. We can solve this equation and determine that the value of the variable x is 7.

The three main types of linear equations are the slope-intercept form, standard form, and point-slope form.

Considering the data:

Dilation by a scale factor of 4 from the origin in the form of an A'B'C' reflection over x = 1

<=> The two triangles are comparable to one another since triangles can have the same shape but differ in size, so A′′B′′C′′ is 4 times larger than ABC.

=> the connection between "ABC" and "A"B"C" .

\(\frac{AB}{A"B"} = \frac{1}{4}\)

We settle on C.

\(\frac{AB}{A"B"} = \frac{1}{4}\)  equation clearly illustrates how AABO and AA"B"C relate to one another.

To know more about equation visit:-

https://brainly.com/question/29657992

#SPJ1

Answer:

a. y=x^2

Step-by-step explanation:

desmos graphing calculator

Answer:

136.35

Step-by-step explanation:

Answer:

this looks kinda hard tho give me a sec

Answer:

\(\large \boldsymbol {} 6x^2 -5x-14 =0 \\\\ D=25+14\cdot 4\cdot 6 =361=19^2 \\\\ x_1= \dfrac{5+19}{12} =2 \\\\\\ x_2 =\dfrac{5-19}{12} =-\dfrac{7}{6} \\\\ and \ \ we \ \ \ know \ \ that \\\\\ 6x^2 -5x-14 =6 (x-x_1) ( x- x_ 2) = 6 ( x-(-\frac{7}{6} ))\boldsymbol { ( x-2 ) } \\\\ as \ we \ can \ see \ , \ the \ \ expansion \ is \\\\\ x-2 ; therefore \ \ , \ \ the \ \ answer \ \ is \ \ yes\)

Answer: Yes: divisible

Step-by-step explanation:

\(P(x)=6x^2-5x-14\\\\P(2)=6*2^2-5*2-14=24-10-14=0\\\\P(x)\ is\ exactly\ divisible\ by\ x-2\\\)

Answer:

7. y=x-2, 8. y=3/2x+4, 9.  y=-3/4x+8, 10. y=2x-7, 11. y=-5x-3, 12. y=4x-5,             13. y=-3x-1, 14. y=-1/2x+1, 15. y=3/2x+4

Step-by-step explanation:

First you have to plug in the points into y2-y1/x2-x1. This would make it      -2-0/0+1. Simplify this to get -2/1 which is -2. This makes the slope -2. Then plug in the slope into point intercept form y-y1=m(x-x1) where m is the slope. This time, I will use the point (0,-2). Therefore, the equation will be y+2=1(x-0) which is equal to y+2 =x-0 which is equal to y=x-2.

This is how you do all of the problems. For problem 13-15, you know that f(0)=-1 is (0,-1) and f(3)=-10 is (3,-10). Then you can solve the problems. I will not explain every single problem but will give you the answers.

Answer:

a = 6

Step-by-step explanation:

Hello!

First, let's isolate the Absolute Value bracket.

Based on the definition of Absolute value, the outcome should always be a positive number. Therefore, if the product, 4 - a, is a negative number, it will have no solutions.

That means a has to be greater than 4 for it to be negative. a should be 6.

a = 6

Answer:

No.

Step-by-step explanation:

Well, is the points (1, -9) does satisfy the equation y = 3x - 6. Then, substituting the values of x, and, y, into the equation y = 3x - 6,  we should get a true equation.

y = 3x - 6

-9 = 3 * 1 - 6

-9 = 3 - 6

-9 = -3.

So, the points (1, -9) does not satisfy the equation y = 3x - 6.

Answer:

216\(\pi\)

Step-by-step explanation:

Given the figure.

And the perimeter in the ratio 4: 2: 1.

Perimeter of smallest circle = \(8\pi\)

To find:

Area of shaded region.

Solution:

To find the area, we need to have radius first.

And radius can be calculated by the given perimeter.

Formula for Perimeter is given as:

Perimeter = \(2\pi r\)

\(8\pi = 2\pi r\\\Rightarrow r = 4\ cm\)

Radius of smallest circle = 4 cm

Ratio of perimeter is equal to the ratio of the radii.

Radius of 2nd smallest circle by the given ratio = 8 cm

Radius of largest circle = 16 cm

Area of a circle is given the formula:

\(A = \pi r^2\)

Area of the smallest circle = \(\pi 4^2 = 16\pi\ cm^2\)

Area of the 2nd smallest circle = \(\pi 8^2 = 64\pi\ cm^2\)

Area of the largest circle = \(\pi 16^2 = 256\pi\ cm^2\)

Area of the shaded region = Area of largest circle + 2 \(\times\) Area of 2nd smallest circle + 3 \(\times\) Area of smallest circle - 2 \(\times\) Area of smallest circle - 3 \(\times\) Area of 2nd smallest circle

Area of the shaded region = Area of largest circle - Area of 2nd smallest circle + Area of smallest circle = \(256\pi - 64\pi +16\pi = 216\pi\)

Answer:

it's answer is b

|-80+15| = |-65| = 65 units

Hope this helps :)

This question is about displacement. Displacement is a set of vectors. So the answer is - can't be + can't be.

so,answer-b

Using the marginal cost to estimate the exact cost of producing the 51st food processor may not provide an accurate result since it is an approximation and may not capture all the factors influencing the cost.

To find the exact cost of producing the 51st food processor, we need to evaluate the cost function C(x) at x = 51.

(A) Let's substitute x = 51 into the cost function C(x):

C(51) = 2300 + 90(51) - 0.3(51)²

First, let's calculate the square of 51:

51² = 51 * 51 = 2601

Now, substitute this value into the equation:

C(51) = 2300 + 90(51) - 0.3(2601)

Next, perform the multiplications:

C(51) = 2300 + 4590 - 780.3

Finally, add and subtract to simplify:

C(51) = 6890 - 780.3

C(51) ≈ 6109.7

Therefore, the exact cost of producing the 51st food processor is approximately $6109.7.

(B) To approximate the cost step by step using marginal cost, we need to calculate the marginal cost function, which is the derivative of the cost function C(x) with respect to x.

C(x) = 2300 + 90x - 0.3x²

To find the marginal cost function, we take the derivative of C(x) with respect to x:

C'(x) = 90 - 0.6x

Now, let's substitute x = 51 into the marginal cost function:

C'(51) = 90 - 0.6(51)

Perform the multiplication:

C'(51) = 90 - 30.6

Finally, subtract to find the approximate cost step by step:

C'(51) ≈ 59.4

The approximate cost of producing the 51st food processor step by step, using the marginal cost, is approximately $59.4.

To learn more about marginal cost : brainly.com/question/14923834

#SPJ11

The number line for the set of jump distances to make a new record.

Option B is the correct answer.

It is the representation of numbers in real order.

The difference between the consecutive numbers in a number line is always positive.

We have,

The school record in the long jump = 518 cm

Now,

To make a new record the set of jump distances should be greater than 518 cm.

To represent the set of jump distances on a number line we can not have a black dot on 513 on the number line.

The dot should be an open dot.

Thus,

Option B is the number line for the set of jump distances to make a new record.

Learn more about number line here:

https://brainly.com/question/13425491

#SPJ1

Answer:

127 degrees

Step-by-step explanation: