If a person who works 40 hours per week earns 51,200 per year, estimate that person’s hourly wage by rounding the annual income to the nearest ten thousand. Use the estimated that there are 50 weeks in a year

Answer:

p > - 8

Step-by-step explanation:

4p + 2 < 6(p + 3)

4p + 2 < 6p + 18

-2p < 16

p > - 8

The inverse of the given statement will be- Option 3, If point B is the midpoint, then point B bisects line segment AC into two congruent segments.

Here, we are given a statement: If point B bisects line segment AC into two congruent segments, then point B is the midpoint.

According to the statement,

if B bisects AC ⇒ AB = BC

then, B is the midpoint.

The inverse of this will be-

if B is the midpoint of AB ⇒ AB = BC

then, B bisects AB

This can be written as-

If point B is the midpoint, then point B bisects line segment AC into two congruent segments.

Thus, option 3 is the correct answer.

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Your question was incomplete. Check below for full content-

Which statement is the contrapositive of the conditional statement:

Which statement is the inverse of the conditional statement: If point B bisects line segment AC into two congruent segments, then point B is the midpoint.

1. If point B is not the midpoint, then point B does not bisect line segment AC into two congruent segments.

2. Point B bisects line segment AC into two congruent segments if, and only if, point B is the midpoint.

3. If point B is the midpoint, then point B bisects line segment AC into two congruent segments.

4. If point B does not bisect line segment AC into two congruent segments, then point B is not the midpoint.

Answer:

18x² - 84x + 96

Step-by-step explanation:

(5 × 2 - 6x + 2) × (4 × 2 - 3x)

5 × 2 (4 × 2 - 3x) - 6x(4 × 2 - 3x) + 2(4 × 2 - 3x)

80 - 30x - 6x(4 × 2 - 3x) + 2(4 × 2 - 3x)

80 - 30x - 48x + 18x² - 6x

96 - 84x + 18x²

18x² - 84x + 96

Hope this helps! :)

The smoothing constant is the correct option.

What is exponential smoothing?

The exponential window function is a general method for smoothing time series data known as exponential smoothing. Exponential functions are used to assign weights that decrease exponentially over time, as opposed to the simple moving average, which weights previous observations equally.

Forecasts using exponential smoothing are precise.

This method generates reliable and accurate forecasts that anticipate the following period.

Demand projections and actual demand are shown in the forecast. This makes it possible to effectively plan for demand, which leads to accurate inventory levels.

In exponential smoothing,  the higher the smoothing constant, the greater is the weight assigned to the values from the most recent  period.

Hence, the smoothing constant is the correct option.

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Given statement solution is :- a) The area of one semi-circle at one end is  58.09 square feet.

b) The area of the garden is 274.42 square feet.

c) The area in square metres is approximately 58.09 square feet.

The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.

a) To find the area of one semi-circle at one end, we need to calculate the area of a complete circle and then divide it by 2. The formula for the area of a circle is A = πr², where A represents the area and r is the radius.

Since the diameter of the semi-circle is equal to the width of the rectangular portion, which is 8.6 feet, the radius will be half of that, which is 8.6 / 2 = 4.3 feet.

Now we can calculate the area of the semi-circle:

A = (π * 4.3²) / 2

A ≈ 58.09 square feet

b) To find the area of the garden, we need to sum the area of the rectangular portion with the areas of the two semi-circles.

Area of the rectangular portion = length * width

Area of the rectangular portion = 18.4 feet * 8.6 feet

Area of the rectangular portion ≈ 158.24 square feet

Area of the two semi-circles = 2 * (area of one semi-circle)

Area of the two semi-circles ≈ 2 * 58.09 square feet

Area of the two semi-circles ≈ 116.18 square feet

Total area of the garden = area of the rectangular portion + area of the two semi-circles

Total area of the garden ≈ 158.24 square feet + 116.18 square feet

Total area of the garden ≈ 274.42 square feet

c) To convert the area from square feet to square meters, we need to know the conversion factor. Since 1 foot is approximately 0.3048 meters, we can use this conversion factor to convert the area.

Area in square meters = Total area of the garden * (0.3048)²

Area in square meters ≈ 274.42 square feet * 0.3048²

Area in square meters ≈ 25.49 square meters

Therefore, the area of one semi-circle at one end is approximately 58.09 square feet. The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.

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The function C(x) that represents the cost of a pizza with at least one topping, where x is the number of toppings is C(x) = 9.99 + 1.25x

The domain is x >= 0 and the range is c(x) >= 9.99

The given parameters are:

One topping = 9.99

Additional topping = 1.25 each

We have x to represent the number of toppings

This means that

C(x) = One topping + Additional topping  * x

So, we have

C(x) = 9.99 + 1.25x

We have

C(x) = 9.99 + 1.25x

The smallest number of topping is 0

So, the domain is x >= 0

Substitute 0 for x in C(x) = 9.99 + 1.25x

C(0) = 9.99 + 1.25(0)

This gives

C(0) = 9.99

So, the range is c(x) >= 9.99

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The requried, Multiplies(with switching factors.) area given below,

a.

693 x 83 = 57489

83 x 693 = 57489

The answer is 57489.

b.

910 x 45 = 40950

45 x 910 = 40950

The answer is 40950.

c.

38 x 84 = 3192

84 x 38 = 3192

The answer is 3192.

d.

409 x 89 = 36401

89 x 409 = 36401

The answer is 36401.

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Using the scale factor given, the amount of fence, to the nearest foot, that they will have to purchase is: 297 feet.

Let P be the perimeter of your yard. We know that P = 339 feet.

Let k be the scale factor for your friend's yard. We know that the perimeter of your friend's yard is 7/8 times the perimeter of your yard, so the perimeter of your friend's yard is:

7/8 * P = 7/8 * 339 = 296.625 feet

Since your friend's yard is similar to yours, the ratio of corresponding sides is k. Since the perimeter is the sum of all sides, we can write:

k * P = 296.625

Solving for k, we get:

k = 296.625 / P = 296.625 / 339 = 0.875

So the scale factor for your friend's yard is 0.875.

Now we can use the scale factor to find the length of fence your friend will need to purchase. The length of fence for your yard is P, so the length of fence for your friend's yard is:

k * P = 0.875 * 339 = 296.625 feet

Therefore, your friend will need to purchase approximately 297 feet of fence.

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Answer:

25/15 - 12/15

Step-by-step explanation:

turn the mixed number to an improper fraction, then multiply the denominator and numerator by 5 to reach 15 and then 5 x 3 and 4 x 3 to get 12/15. I hope this helps

Answer: b

Step-by-step explanation:

Answer:

-2 11/12 is the answer for me

58

Step-by-step explanation:

angle A = angle E. angle in the segment are

equal

Answer:

48

Step-by-step explanation:

About 40 millions of aluminum cans can be recycled each month in the US. A quarter of these aluminum cans are used to make one aluminum boat. How many aluminum boats can be made in one year in the US?

Given that:

Approximate Number of cans that can be recycled per month in the US = 40 million

Fraction of recycled cans that can be used to make an aluminum boat = 1/4

The number of aluminum boats that can be made in the US in one year :

If about 40 million cans are recycle per month :

The number of boat that can be made from each monthly recycled aluminum cans will be :

Number of monthly recycled can needed to make one boat:

1/4 * 40 million = 10 million cans

Hence, 40,000,000 / 10,000,000 = 4

4 aluminum boats can be made in one month :

Number of months in a year = 12

Number of aluminum boats that can be made in a year :

4 per month * 12 = 48 aluminum boats

Answer:

Leo has b boxes of pencils. each box contains 6 pencils. he has a total of 42 pencils. the equation that represents this situation the value of b that makes the equation true the first one is b+6=42,6b=42,b=42+6,or 42b=6 the second one are 7,836 48

Step-by-step explanation:

/

Answer:

Here's the answer! The mean will increase and the median will stay the same.

Step-by-step explanation:

The mean is the average, so if you have larger numbers, the mean will go up, since 6,000 was changed to 7,000 the mean will increase.

For the median, the median is the number in the middle so the other numbers don't really matter, because 7,000 would be the last number in the data set, (it will be last because to find the median you have to order the numbers in least to greatest) it won't change anything because, only the number in the middle numbers

Unrelated to the question but if you need to find the median and the data set has an even amount of numbers, take the 2 numbers in the "middle" and add them together and then divide them by 2.

Example: 3, 8, 17, 23

add 8 and 17 together, divide by 2, you will get 12.5

hence the median is 12.5 of the data set in the example.

Tip: if you have a larger data set, (more numbers, i'm not talking about the value of a number) try crossing out one number from each side, repeat until you get to the middle then you have your median, if there's an even amount of numbers, remember, add then divide by 2!

Hope this helps!

Dang I really took the time to type all that-

If this does help, I'd appreciate getting brainliest.

Have nice day!

Answer:

7098

Step-by-step explanation:

For this we need to identify the area of the garden entirely and subtract the area of the parallelogram getting our land of grass.

1) 65*110=7150

2) 13*4=52

3) 7150-52=7098

Answer:

5555555

Step-by-step explanation:

I really dont know

if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

Calculating the loan amount for each brand by subtracting the down payment from the cash price:

Loan amount for Daewoo = RM1,899 - RM300 = RM1,599

Loan amount for Daikin = RM1,699 - RM300 = RM1,399

Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699

Calculating the interest charge for each brand:

Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96

Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96

Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96

To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:

Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22

Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89

Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72

Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

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We got the mean value 4.167 and standard deviation 19.56.

In statistics, a mean value is the average value of all the available data. And it can be determined by adding all the data by dividing the amount of data.

A standard deviation is an estimation that implies how far each available data apart from the mean value.

we are given, 4% of the population has a genetic mutation

Total people in the group =600

Now, total number of people who have genetic mutation = (4/100) ×600

                                                                                              = 24

the number of randomly selected people =100= X

Mean = Number of selected people/ people who have mutation

  Mean = X/n = 100/24 = 4.167

the standard deviation = √∑(X-mean) ²/n

                                       = √∑(selected people - mean) ²/ mutation number

                                    =√(100-4.167) ²/24

            standard deviation = 19.56

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Answer:

It is not letting me to download!!!

Step-by-step explanation:

Answer:

64 g

Step-by-step explanation:

Lets gather the Info

Amount needed = 161 g

Amount given = 97 g

Lets form an equation:

161 - 97 = x

x in this case is the number of grams needed to fulfill the amount needed.

161 - 97 = 64 g

He needs 64 g of cheese.

If my answer is wrong pls correct me.

If you like my answer and explanation pls mark me as brainliest.

-Chetan K

The cost of the car the Gilberts purchased before tax is  $13,820.52.

Tax is a compulsory amount that is levied on a good or service by the government. A sales tax is a tax that is levied on the purchase of a good and service. Taxes increase the cost of a good or service.

The equation that can be used to determine the cost of the car after tax is:

(1 + sales tax) x cost before tax = cost after tax

(1 + 0.05) x c = $14,512

1.05c = $14,512

In order to determine the value of c, divide both sides of the equation by 1.05:

c = $14,512 / 1.05

c = $13,820.52

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Answer:

area- 55 perimeter - 24

Step-by-step explanation:

small rectangle =

5- 3 = 2

2 × 3 = 6cm²

big rectangle =

4 + 3 = 7

7 × 7 = 49cm²

All together

6 + 49 = 55cm²

Perimeter -

The angles COA and POC are 22.5 and 67.5 degrees respectively as POA is a right angled triangle.

POA is a right angle so it is 90 degrees.

POC +COA = 90  .....(1)

Also, POC is 3 times as large as COA.

Let's take COA, "x"

POC = 3x

Substituting the values in equation (1) as follows:

x + 3x = 90

4x = 90

x= 22.5

Therefore,

COA = 22.5°

POC = 22.5*3 = 67.5°

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Answer: D) 54 inches = 1 1/2 yards

explanation: 1 1/2 yards = 54 inches.

Answer: 1/5

Step-by-step explanation:

Answer:

The expression for the volume of the solid figure would be V = 16*5*4 + 4*4*8, which simplifies to V = 320 + 128, giving a total volume of 448 cubic inches.

Por lo tanto, la parcela mide 18 metros de largo y 12 metros de ancho.

Llamemos "largo" (L) a una de las dimensiones de la parcela y "ancho" (A) a la otra dimensión.

Según la información dada, sabemos que la suma del largo y el ancho es de 30 metros:

L + A = 30 ---(1)

También se nos dice que la diferencia entre el largo y el ancho es de 6 metros:

L - A = 6 ---(2)

Podemos resolver este sistema de ecuaciones utilizando el método de sustitución o de eliminación. En este caso, resolveremos utilizando el método de sustitución.

De la ecuación (2), podemos despejar L en términos de A:

L = A + 6

Sustituyendo este valor de L en la ecuación (1), obtenemos:

(A + 6) + A = 30

2A + 6 = 30

Restamos 6 de ambos lados de la ecuación:

2A = 30 - 6

2A = 24

Dividimos ambos lados de la ecuación por 2:

A = 12

Ahora que conocemos el valor de A, podemos encontrar el valor de L sustituyendo en la ecuación (2):

L = A + 6

L = 12 + 6

L = 18

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Answer:

D. 4 units

Step-by-step explanation:

Similar figures have corresponding lengths in proportion.

\(\frac{4x}{2x}=\frac{x+1}{x} \\ \\ 2=1+\frac{1}{x} \\ \\ 1=\frac{1}{x} \\ \\ x=1\)

Therefore, the height of Figure 1 is 4.