A woman applies a 10 Newton force and uses 100 joules of energy to push a cart of groceries. How much work did she perform

The matched answers are:

1. semicircle

2. central angle

3. Radius

4. Secant

5. center

6. tangent

7. diameter

8. minor arc

9. chord

10. major arc

A circle is the locus of points equidistant from a given point called the center of the circle.

A circle can be described if its radius and the center of the circle is known.

Analysis:

1. RCH  is called a semicircle when a diameter divides a circle into two equal parts, a part is called the semicircle.

2. ∠RAH is the central angle, because it is the angle subtended at the Center of the circle.

3. CA is the radius of the circle, a line drawn from the center to any point on the circumference of the circle.

4. MR is a secant, a line that cuts the circle into two parts.

5. A is the center of the circle.

6. MT is the tangent, because line MT touches the circle at a point T.

7. CH is the diameter of the circle, a line that divides the circle into two semi circles.

8. CT is the minor arc, the curved line that is found in the smaller part of the divided circle.

9. HT is chord, it is a line that divides the circle into two unequal parts.

10. CRH is  major arc, the curved line of the bigger portion of the divided circle.

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Answer:

E(m) = 2,000 + 0.15(m + 20,000)

Step-by-step explanation:

The function calculates his monthly earnings E(m) = 2,000 + 15(m - 20,000). Therefore, option C is the correct answer.

Given that, Anthony sells cars. Each month, he is paid $2,000, plus a 15% commission on monthly sales above $20,000.

We need to calculate his monthly earnings (E) as a function of m, his monthly sales.

The composition of a function is an operation in which two functions say f and g generate a new function say h in the sort of manner that h(x) = g(f(x)). It method right here characteristic g is carried out to the characteristic of x. So, basically, a feature is implemented to the end result of another feature.

Now, the function for the given situation is E(m) = 2,000 + 15(m - 20,000).

The function is E(m) = 2,000 + 15(m - 20,000). Therefore, option C is the correct answer.

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Hi! The answer would be all real numbers!

Hope this helps! :)

The Perimeter of the composite figure is 59.12 units.

The figure in the image is composed of a rectangle and two semicircles

The perimeter of a semicircle is half of the circumference plus the diameter.

Perimeter of semicircle = 1/2( 2πr ) = πr

Perimeter of a rectangle = 2( length + width )

From the image;

Now perimeter of the composite figure will be;

Perimeter = Perimeter of two semicircle + Perimeter of a rectangle.

Perimeter = 2( πr ) + 2( length + width )

Plug in the values

Perimeter = 2( 3.14 × 4 ) + 2( 9 + 8 )

Perimeter = 2( 12.56 ) + 2( 17 )'

Perimeter = 25.12 + 34

Perimeter = 59.12 units.

Therefore, the perimeter is 59.12 units.

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Answer: 208.2 in

Step-by-step explanation: I'm am super smart

Hope this helps   : D

the right answer is 12 and if you ever need more help just use the app mathaway

The derivative of the given function h(s) is -36s/(9s² + 5)⁻¹/².

Given function: h(s) = -2√(9s² + 5)

To find the derivative of the above function, we use the chain rule of differentiation which states that the derivative of a composite function is the derivative of the outer function evaluated at the inner function multiplied by the derivative of the inner function.

First, let's apply the power rule of differentiation to find the derivative of 9s² + 5.

Recall that d/dx[xⁿ] = nxⁿ⁻¹h(s) = -2(9s² + 5)⁻¹/² . d/ds[9s² + 5]dh(s)/ds

= -2(9s² + 5)⁻¹/² . 18s

= -36s/(9s² + 5)⁻¹/²

Therefore, the derivative of the given function h(s) is -36s/(9s² + 5)⁻¹/².

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The percentages paid are given as follows:

a) 14.29%.

b) 2.5%.

The percentages are obtained applying the proportions in the context of the problem.

A proportion is applying because the percentage is calculated dividing the $5 fee by the total fee of the transaction, and then multiplying by 100%.

Hence, for item a, the percentage is given as follows:

5/35 x 100% = 14.29%.

For item b, the percentage is given as follows:

5/200 x 100% = 2.5%.

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Answer:

(x + 1)² = 4(y + 10)

Step-by-step explanation:

Equation of parabola:

(x - h)² = 4a(y - k)

with vertex(h, k) and focus (h, k + a)

vertex(h, k) = (-1, -10)

⇒h = -1 and k = -10

focus (h, k + a) = (-1, -9)

⇒ k + a = -9

⇒ -10 + a = -9

⇒ a = 10 - 9

⇒ a = 1

Equation of parabola:

(x - h)² = 4a(y - k):

(x - (-1))² = 4(1)(y - (-1))

= (x + 1)² = 4(y + 10)

Answer:

-3

Step-by-step explanation:

find absolute values.

-7 + 4

-3

Hope this helps!

Have a nice day!

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Answer: The answer is -3

The percentage of students scoring 84 or more in the exam is 99.18%.

Given, Mean test score = 72,

Standard deviation = 5.

We are supposed to find the percentage of students scoring 84 or more in the exam.

To find the percentage of students scoring 84 or more in the exam, we will use the following steps:

First, we need to find the z-score associated with 84.

Let us assume that z is the z-score corresponding to the value 84, then;

z = (84 - 72) / 5 = 2.4

Now, we have the value of z, we can find the percentage of students scoring 84 or more in the exam using the normal distribution table.

The percentage is the area under the normal distribution curve to the right of the z-score.

To find the area using the normal distribution table, we need to look for the value 2.4 in the z-table. Since 2.4 is not exactly listed in the z-table, we will use the value for 2.4 closest to it.

Using the z-table, the value closest to 2.4 is 0.9918.

Therefore, the percentage of students scoring 84 or more in the exam is;

P(Z > 2.4) = 0.9918 × 100 = 99.18%.

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Answer:

x would be 58°

Step-by-step explanation:

Answer:

13.21

Step-by-step explanation:

Sin(32)=7/x

x=7/sin(32)= 13.21

Answer:

he's at work for 9 hours 55minutes

Carlos works for 8 hours and 55 minutes.

Given that, Carlos starts work at 21:20 and finishes at 06:15 the next day.

A clock or a timepiece is a device used to measure and indicate time. The clock is one of the oldest human inventions, meeting the need to measure intervals of time shorter than the natural units such as the day, the lunar month and the year.

The 24-hour clock is more often shown on digital clocks and is written in a 4-digit form, with the first two digits representing the hour and the last two representing the minutes.

From 21:20 to 06:15 there are 8 hours and 55 minutes.

Therefore, Carlos works for 8 hours and 55 minutes.

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Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

NOOOOOO FIGURE IT OUT YOUR SELF THATS WHY THEY TEACH YOU DUHHHHHHHHHHHHH

The diameter of the tree increased by 0.27in. (approximately) and the change in tree's cross section area is 27.5 in.².

As given in the question,

Diameter of the tree 'd' = 14in.

Radius = 7in.

Circumference of the tree = πd

                                            = 3.14 × 14

                                            = 43.96 in.

New circumference increased by 4 in. = 43.96 + 4

                                                                = 47.96in.

New diameter = 47.96 / 3.14

                        = 15.27 in. (approximately)

New Radius ≈ 7.6 in.

Increase in diameter= 15.27 - 15

                                  = 0.27 in.

Area of cross section original tree = 3.14 × 7²

                                                         = 153.9 in.²

New area of cross section original tree = 3.14 × 7.6²

                                                                 = 181.4 in.²

Change in area = 181.4 - 153.9

                          = 27.5 in.² ( approximately)

Therefore, increase in diameter is 0.27in. and change in cross - section area is 27.5 in.²

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Answer:

y = -3/11x + 4/11

Step-by-step explanation:

y2 - y1/ x2 - x1

-1 - 2/ 5 - (-6)

-3 / 11

y = -3/11x + b

-1 = -3/11(5) + b

-1 = -15/11 + b

4/11 = b

Answer:

\(\frac{7}{8}\)

Step-by-step explanation:

you first need to change the mixed number to an improper fraction

\(\frac{13}{8}-\frac{3}{4}\)

then multiply the second fraction by 2 so that the denominator is the same in both fractions

\(\frac{13}{8} -\frac{6}{8}\)

\(\frac{7}{8}\)

Answer:

Step-by-step explanation:

x + 3 = 2x - 17

-x + 3 = -17

-x = -20

x = 20

20 + 3 + 2(20) - 17

20 + 3 + 40 - 17

63 - 17 = 46 = AC

Answer:

Principal = $9,152.93

Step-by-step explanation:

A = $9,152.93

A = P + I where

P (principal) = $7,500.00

I (interest) = $1,652.93

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 10/100

r = 0.1 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 7,500.00(1 + 0.1/12)(12)(2)

A = 7,500.00(1 + 0.008333333)(24)

A = $9,152.93

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $7,500.00 at a rate of 10% per year compounded 12 times per year over 2 years is $9,152.93.

Answer:

10.6

Step-by-step explanation:

range is the difference between the lowest and the highest number

example: the lowest number wold be 1.1 and the highest is 11.7 you need to subtract them and then you have your answer!!!

The range of the given set of data is 10.8.

The given data is 2.3, 4.5, 6.7, 1.1, 11.6, 4.5, 11.7, 8.5, 3.2, 6.7, 7.9.

We need to find the range of the given data.

The range is the difference between the highest and lowest values within a set of numbers. To calculate the range, subtract the smallest number from the largest number in the set.

From the given set of data, we can see that the lowest observation is 1.1 and the highest observation is 11.7.

Now, range=11.7-1.1=10.8

Therefore, the range of the given set of data is 10.8.

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Answer:

c = 32

Step-by-step explanation:

90 + 58 + c = 180

90 + 58 = 148

180 - 148 = 32

c = 32

Answer:

32

Step-by-step explanation:

As we know the total degree of a triangle is 180 degrees.

In this triangle so far we have a 58 degree and 90 degree box since its a right triangle so we have to take:

58 + 90 = 148

After taking 148 we have to subtract the 180 to find the missing number that will help us complete everything:

180 - 148 = 32

Scenario 1A:

Coinsurance amount is $90

Medicare payment is $360

Provider write-off is $290

Scenario 1B:

Remaining amount for Insurance and patient to pay is $350

Coinsurance amount is $70

Total paid by patient is $170

Medicare payment is $280

Provider write-off is $370

Scenario 1A:

Submitted charge: $650

Medicare participating physician fee schedule (PFS): $450

Coinsurance amount (20% paid by patient): $

Medicare payment (80% of the PFS): $

Provider write-off: $

To calculate the missing amounts, we can use the provided information:

Coinsurance amount (20% paid by patient):

Coinsurance amount = 20% of the Medicare participating physician fee schedule (PFS)

Coinsurance amount = 0.2 * $450 = $90

Medicare payment (80% of the PFS):

Medicare payment = 80% of the Medicare participating physician fee schedule (PFS)

Medicare payment = 0.8 * $450 = $360

Provider write-off:

Provider write-off = Submitted charge - Medicare payment

Provider write-off = $650 - $360 = $290

Scenario 1B:

Submitted charge: $650

Medicare participating physician fee schedule (PFS): $450

Patient pays $100 remaining on their deductible

Remaining amount for Insurance and patient to pay: $

Coinsurance amount (20% of remaining amount): $

Total paid by patient (deductible & 20% of remaining): $

Medicare payment (80% of the remaining amount): $

Provider write-off: $

To calculate the missing amounts, we can use the provided information:

Remaining amount for Insurance and patient to pay:

Remaining amount for Insurance and patient to pay = PFS - remaining deductible

Remaining amount for Insurance and patient to pay = $450 - $100 = $350

Coinsurance amount (20% of remaining amount):

Coinsurance amount = 20% of the remaining amount

Coinsurance amount = 0.2 * $350 = $70

Total paid by patient (deductible & 20% of remaining):

Total paid by patient = remaining deductible + coinsurance amount

Total paid by patient = $100 + $70 = $170

Medicare payment (80% of the remaining amount):

Medicare payment = 80% of the remaining amount

Medicare payment = 0.8 * $350 = $280

Provider write-off:

Provider write-off = Submitted charge - Medicare payment

Provider write-off = $650 - $280 = $370

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The probability that at least 75 rolls are necessary to exceed a total sum of 275 is approximately 0.293.

Let X be the random variable denoting the total number of rolls required to exceed 275. We want to calculate P(X >= 75). The probability of rolling a number greater than 5 is 1/3, and the probability of rolling a number less than or equal to 5 is 2/3. Therefore, the expected value of a single roll is

The variance of a single roll is

Using the properties of the geometric distribution, we can calculate the probability that it takes at least 75 rolls to achieve a sum greater than 275:

P(X >= 75) = (1 - P(X < 75)) = (1 - (1 - (275/3.67)/75\()^{(75)}\)) = 0.293.

Therefore, the probability that at least 75 rolls are required is approximately 0.293.

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Answer:

3 16/25

Step-by-step explanation:

2 3/5 ÷ 1 1/25 = 3 16/25

Maintain equivalent fraction the number of parts reduces thus the size of Ana's model will be bigger than others.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator while below is called the denominator.

Given that,

Manny used 8 tenth-size parts to model ⇒ 8/10

Ana used fewer parts so divide the numerator and denominator by 2

(8/2)/(10/2) = 4/5

If Ana takes a total of five parts then the size of the parts must be greater to maintain the ratio.

For example, we have a rectangle cupcake of 10 parts and we take 8 out of them to draw a model.

On another hand we divide the cake into 5 parts then the size of each part will become larger.

Hence "Maintain equivalent fraction the number of parts reduces thus the size of Ana's model will be bigger than others".

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The equation that relates the number of hours you run and the number of hours you walk to the total length of the trail is 6x + 2y = 6.

Equation, the declaration that two expressions containing variables or numbers are equal. In essence, equations are questions, and the development of mathematics has been driven by attempts to find answers to those questions in a systematic way.

Given that,

Run and walk on the trail distance is 6 miles.

Running per hour is 6 miles,

Walking per hour is 2 miles.

The amount of hours you walk, let's say is y,

let x be the number of hours you run.

Distance covered by you for running x number of hours = 6x

Distance covered by you for walking y number of hours = 2y

Since the total length of trail is 6 miles.

6x + 2y = 6

Hence, the equation that relates the number of hours you run and the number of hours you walk to the total length of the trail is 6x + 2y = 6.

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Answer:

I believe it is 1.

Step-by-step explanation:

1. because thats half

Answer:

It'll be 800,000 ejdjdjjdndjdhshz letter requirement

Answer:

false

Step-by-step explanation

Step 1: Evaluate the left side of the equal sign:

3q < 18ifq = 3

Step 2: Evaluate the right side of the equal sign:

6 = 6

Step 3: since 3 does not equal 6 then 3q<18ifq=6