The perimeter of a rectangle is given by the formula P = 2W +2L, where w is the width and l is the length. We arrange the formula for the length(l).

Answer:

The velocity v(t) of the robot at time t can be determined by taking the derivative of the position function s(t). Therefore, v(t) = 18t - 90.

To find the total distance traveled by the robot between t = 0 and t = 9, we need to calculate the definite integral of the absolute value of the velocity function from t = 0 to t = 9. This is because the absolute value of velocity gives us the speed, and integrating the speed over the given time interval gives us the total distance traveled.

Integrating the velocity function v(t) = 18t - 90 from t = 0 to t = 9, we get:

∫(0 to 9) |18t - 90| dt

To solve this integral, we split it into two parts based on the regions where the integrand changes sign:

∫(0 to 9) (90 - 18t) dt + ∫(0 to 9) (18t - 90) dt

Evaluating the integrals, we get:

[90t - 9t^2/2] from 0 to 9 + [9t^2/2 - 90t] from 0 to 9

Plugging in the limits, we have:

[90(9) - 9(9^2)/2] + [9(9^2)/2 - 90(9)] = 405

Therefore, the total distance traveled by the robot between t = 0 and t = 9 is 405 units.

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The velocity function v(t) is found by taking the derivative of the position function s(t), resulting in v(t)=18t-90. To find the total distance traveled by the robot from t=0 to t=9, calculate the definite integral of the absolute value of the velocity function over this interval.

The position, s(t), of a robot moving along a track at time t is given by . To find the velocity of the robot at any time t, we need to derive the position function with respect to t, giving us

which represents the velocity function. Now, to find the total distance travelled by the robot between t=0 to t=9, we have to find the definite integral of the absolute value of the velocity function from 0 to 9. The absolute value is considered because we want total distance covered, not just displacement. This is an example of applying derivative and integral principles in a real-life scenario.

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Answer: $113.55

Step-by-step explanation:

add up the cost of the lesson, boots, board, and ticket

the lesson costs $33.80 and the ticket costs $25, these cover the whole day so no need to be multiplied. the boots cost $2 and the board costs $8.95 each hour, jim will need to pay the cost of both 5 times for 5 hours.

here is the equation to solve

33.80 + 5(8.95 + 2.00) + 25 =

33.80 + 5(10.95) + 25 =

33.80 + 54.75 + 25 =

33.80 + 79.75 = 113.55

the total cost is $113.55

Answer: B

Step-by-step explanation:t+4+3−2.2t

Add 4 and 3 to get 7.

t+7−2.2t

Combine t and −2.2t to get −1.2t.

−1.2t+7

Answer:

199000 i think

Step-by-step explanation:

1800 x 5 = 9000

9000 + 190000 = 199000

Answer:

Step-by-step explanation:

Area formula for parallelogram:

Given

As per the area formula:

Answer:

\(4 \times a = 4a \\ c \times d = cd \\ 3c \times - 2 = - 6c \\ - 5t \times 3a = - 15at \\ 4c \times 2e = 8ce\)

Answer:

10 miles per hour I'm not sure tho just trying to help :)

Step-by-step explanation:

try to divide

Answer:

10

Step-by-step explanation:

600mph= 10miles/min

The water bill should be distributed proportionally based on the surface area. Each neighbor would pay approximately 64.44, 79.99, 96.00, and 119.99 euros, respectively.

To distribute the water bill proportionally based on the surface area of each house, we need to calculate the total surface area of all the houses first. Then we can determine the percentage of the total surface area that each house represents and allocate the corresponding portion of the water bill.

Let's calculate the total surface area of all the houses:

Total surface area = 80 + 100 + 120 + 150 = 450 square meters

Now, we can calculate the percentage of the total surface area that each house represents:

House 1: (80 / 450) * 100% = 17.78%

House 2: (100 / 450) * 100% = 22.22%

House 3: (120 / 450) * 100% = 26.67%

House 4: (150 / 450) * 100% = 33.33%

Next, we can calculate the amount of the water bill that each house needs to pay based on these percentages:

House 1: 17.78% of 360 euros = (17.78/100) * 360 = 64.44 euros

House 2: 22.22% of 360 euros = (22.22/100) * 360 = 79.99 euros

House 3: 26.67% of 360 euros = (26.67/100) * 360 = 96.00 euros

House 4: 33.33% of 360 euros = (33.33/100) * 360 = 119.99 euros

Therefore, the water bill distribution for the four neighbors based on the surface area of their houses would be as follows:

- House 1: 64.44 euros- House 2: 79.99 euros- House 3: 96.00 euros

- House 4: 119.99 euros

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the answer would probably be c

Answer:

b

Step-by-step explanation:

Answer:

Angles on a straight line add up to 180°

a = 180° - 29°

a = 151°

Answer:

10 times

Step-by-step explanation:

HOPE THAT THIS IS HELPFUL.

HAVE AN AWESOME DAY.

Answer:

10 times

Step-by-step explanation:

The 4 in 149 is 10 times bigger than the 4 in 74 because the place value of 4 in the number 149 is 40 and the place of 4 in the number 74 is 4, so if we divide 40/4 we will get 10. Thus, choice 2nd is correct

After deducting the amounts for Federal tax, Social Security, and other deductions, the net pay for working 40 hours at an hourly wage of $8.95 is $276.61. Option A.

To calculate the net pay, we need to subtract the deductions from the gross pay.

Given:

Hours worked = 40

Hourly wage = $8.95

Federal tax deduction = $35.24

Social Security deduction = $24.82

Other deductions = $21.33

First, let's calculate the gross pay:

Gross pay = Hours worked * Hourly wage

Gross pay = 40 * $8.95

Gross pay = $358

Next, let's calculate the total deductions:

Total deductions = Federal tax + Social Security + Other deductions

Total deductions = $35.24 + $24.82 + $21.33

Total deductions = $81.39

Finally, let's calculate the net pay:

Net pay = Gross pay - Total deductions

Net pay = $358 - $81.39

Net pay = $276.61

Therefore, the net pay for 40 hours worked at $8.95 an hour with deductions for Federal tax of $35.24, Social Security of $24.82, and other deductions of $21.33 is $276.61. SO Option A is correct.

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Note the correct and the complete question is

What is the net pay for 40 hours worked at $8.95 an hour with deductions for Federal tax of $35.24, Social Security of $24.82, and other deductions of $21.33?

A.) $276.61

B.) $326.25

C.) $358.00

D.) $368.91

Answer:

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

Step-by-step explanation:

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

Answer:

BC = 5 cm (nearest whole number)

Step-by-step explanation:

Use the sine trig ratio:

\(\mathsf{\sin \theta=\dfrac{opposite\ side}{hypotenuse}}\)

Given:

Substituting these values into the sine ratio formula:

\(\implies \mathsf{\sin (22.6)=\dfrac{a}{13}}\)

\(\implies \mathsf{a=13\sin (22.6)}\)

\(\implies \mathsf{a=4.995839195...}\)

Therefore, BC = 5 cm (nearest whole number)

The volume of the right prism include the following: 8,640 in³.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

Next, we would determine the area of the triangle at the base of the right prism as follows:

Base area = 1/2 × ( 36 × 12)

Base area = 1/2 × 432

Base area = 216 in².

Now, we can calculate the the volume of this right prism:

Volume = base area × height

Volume = 216 × 40

Volume = 8,640 in³.

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The solutions are given below.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

Part A

the dotted line formes the thrid side of the triangle.

part B

The length is the unknon side increases while kepping the known side lenths fixed, measuremnt of anggle Z will increas. So, the tringle will not fir the given conditions anymore.

part c

If the length of he unknown side decrases while keeping h known side lengths fixed,the measure of angle will decrease so he tringle will not fit the given conditions anymore.

part D

You know the given conditions for the triangle are fixed you also know the unknown side length is fixed. What dose the this tell you angles adjacent to the unknown side.

part e

The given condiction are fixed and the unknown side lenghtis fixed, the angles adjacent to the unknown side must much also be fixed.

part f

Given two side lengths and the measurement of the angle between them, only one triangle can be constructed. Part G The length of the unknown side (c) is 9.76 centimeters

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Answer: A=n(b^2-r)

Step-by-step explanation:

r + A/n = b^2

r-r+A/n = b^2-r

A/n = b^2-r

A*n/n=n(b^2-r)

A=n(b^2-r)

Marta will need 529 square inches of material to make the flag.

To find the area of the flag, we need to find the length and width of the rectangle that the flag forms. We can do this by adding the two given side lengths and dividing the result by 2:

So the length of the flag is 29.5 inches and the width is 18 inches. To find the area of the flag, we multiply the length by the width:

Thus, Marta will need 529 square inches of material to make the flag. At $0.15 per square inch, this will cost her 529 square inches * $0.15/square inch = $<<529*0.15=79.35>>79.35.

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The total cost of repayment will be $7,737.00, and Marvin will pay $937.00 in interest over the 5-year period.

To find the total cost of repayment, we need to calculate the total amount that Marvin will pay over the course of 5 years. Since he is making monthly payments, we need to first find the total number of payments he will make:

Total number of payments = 5 years x 12 months/year = 60 payments

The total amount Marvin will pay is then:

Total amount = 60 payments x $128.95/payment = $7,737.00

To find the total interest Marvin will pay, we need to subtract the original amount of the loan from the total amount he will pay:

Total interest = Total amount - Loan amount

Total interest = $7,737.00 - $6,800.00

Total interest = $937.00

Therefore, the total cost of repayment will be $7,737.00, and Marvin will pay $937.00 in interest over the 5-year period.

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the missing line is 0.4

all triangles equal 180 (or 18.0)

7.1 + 10.5 = 17.6

18.0 - 17.6 = 0.4

Answer:

Yes

Step-by-step explanation:

AC and DF never intersect and have the same distance between them which means they are parallel

Using concept of linear pair of angles and corresponding angles we can prove AC║DF.

We need to check whether AC and DF parallel.

Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions.

10) 57°+x=180° (Linear pair of angles)

⇒ x = 123°

⇒ x = y = 123° (Corresponding angles are congruent)

So, AC║DF

11) 37°+a=180° (Linear pair of angles)

⇒ a = 143°

⇒ a = b = 123° (Corresponding angles are congruent)

So, AC║DF

12) p = q = 62° (Vertically opposite angles are equal)

So, AC║DF

13) z = 65° (Alternate interior angles are equal)

Now, 65° + 115°=180°  (Linear pair of angles)

So, AC║DF

Therefore, using concept of linear pair of angles and corresponding angles we can prove AC║DF.

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Answer:

2.25$

Step-by-step explanation:

The cost of each cupcake the food court mall sells is $2.28.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Desiree works at a dessert counter in the food court of a mall. The dessert counter sells cupcakes and cookies.

Each cookie costs $1.25 and assuming the cost of the cupcake is x.

∴ (1.25×12) + (8x) = 33.30.

15 + 8x = 33.30.

8x = 18.3

x = 2.28

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Transformation doesn't depend on the shape of the figure if it has an overlap or not

The transformation \(8d\) can be applied to a figure with overlap or not with overlap.

Transformations are operations on a plane that change the position, shape, and size of geometric figures.

When a geometric figure is transformed,

its new image has the same shape as the original figure.

However,

it is in a new position and may have a different size.

Let's talk about different types of transformations.

Rotation:

It occurs when a shape is turned around a point, which is the rotation center.

Translation:

It moves the shape from one point to another on a plane.

Reflection:

It is an operation that results in the mirror image of the original shape.

Scaling:

The shape is transformed by changing the size without changing its orientation.

Transformation on \(8d\):

In the given problem, the transformation of \(8d\) can be applied to the figure with or without overlap.

This means that \(8d\) transformation doesn't depend on the shape of the figure if it has an overlap or not.

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Answer:

The radius of the cone is approximately 1.4 feet

Step-by-step explanation:

The given parameters of the cone are;

The height of the cone, h = 4 ft.

The volume of the cone, V = 7.77 ft.³

The volume, 'V', of a cone is given by the following formula;

V = 1/3 × π·r²·h

Where;

V = The volume of the cone = 7.77 ft.³

r = The radius of the cone

h = The height of the cone = 4 ft.

By substituting the vales of 'h' and 'V' in the above equation, we have;

7.77 ft.³ = 1/3 × π × r² × 4 ft.

∴ r = √(3 × 7.77 ft.³/(π × 4 ft.)) = 1.36196580784 ft.

∴ The radius of the cone, r ≈ 1.4 ft. (rounding the answer to the nearest 10th)

Answer:

We won't get that exhaustive, but we pinpointed the most prevalent seven healthy habits that anyone should be able to include in their daily lives.

Get your exercise. ...

Always eat breakfast. ...

Practice healthy eating throughout the day. ...

Stay hydrated. ...

Don't neglect dental hygiene. ...

Get your sleep. ..

Challenge yourself.

Step-by-step explanation:

Thats what i do hope it helps you

Answer:

m=f+Frt

M=f(1+rt)

M\1+rt=F

Answer:

there is a a 3% chance one doesnt turn out

Step-by-step explanation:

There is a one percent chance because 3(97/100)= 291/300 simplified we get back to 97/100 which is equal to 97%, 100-97=3 giving us 3%.