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Answer:

The volume of the punch bowl is 1385 cubic inches.

Step-by-step explanation:

Cylinder:

Given that,

A punch bowl is in the shape of a cylinder.

The diameter of the punch bowl is 14 inches.

Then the radius of the punch bowl is [tex]=\frac{14}{2}[/tex] = 7 inches.

The height of the punch bowl is = 10 inches.

The punch bowl is need to fill 1 inch from the top.

So, we need to fill the punch bowl = (10-1) =9 inches.

The volume of the punch bowl is = [tex]\pi r^2 h[/tex]

                                                       [tex]=(3.14 \times 7^2\times 9)[/tex] cubic inches

                                                      ≈1385 cubic inches.

Final answer:

To fill a cylindrical punch bowl to 1 inch below the top, you would need to calculate the volume using the formula V = πr²h with the radius being half the diameter, and the height being the bowl's height minus 1 inch. Using the given dimensions, the volume needed is 1383 cubic inches of punch.

Explanation:

Calculating the Volume of a Cylinder Punch Bowl

To calculate the volume of the punch needed to fill a cylindrical punch bowl, we need to use the volume formula for a cylinder, which is V = πr²h. The diameter of the punch bowl is given as 14 inches, so the radius (r) is half of that, which is 7 inches. The height (h) of the punch needed is the height of the bowl minus 1 inch, which is 10 inches - 1 inch = 9 inches. Now, we can plug these values into the formula and use 3.14 for π:

V = π × r² × h = 3.14 × (7 inches)² × 9 inches

Doing the calculation:

V = 3.14 × 49 sq inches × 9 inches = 3.14 × 441 cubic inches = 1383.14 cubic inches. When we round this to the nearest whole number, we get a volume of 1383 cubic inches of punch needed to fill the bowl to the desired level.

Answer:

the answer is the the 3rd one

Final answer:

The correct formula for k(x) = g(x) × h(x), given that g(x) is an odd function and h(x) is an even function, is k(x) = x 2ⁿ - 1.

Explanation:

The student is asking which formula represents k(x) = g(x) × h(x). Given the functions g(x) = x³ - 3x and h(x) = e⁽¹x², and knowing that the product of an odd function and an even function is an odd function, the correct representation of k(x) will also be an odd function.

From the provided options, the correct formula must satisfy the conditions of being an odd function, meaning that k(-x) = -k(x). This property holds only for option two, k(x) = x 2ⁿ - 1, because this is the only option where k(x) changes sign when x is replaced with -x, fulfilling the criteria of an odd function.

Answer:

the area is 20

Step-by-step explanation:

If you put the triangles together, it makes a perfect square of 4, 16+4 = 20

Look at the attached picture⤴

Hope it will help u...

Look at the attached picture ⤴

Hope it will help u ..

Answer:

22.7

Step-by-step explanation:

The required mean absolute deviation is 22.9, rounded to the nearest tenth.

Statistic is the study of mathematics that deals with relations between comprehensive data.

The mean weight of the animals is 44.3.

To find the mean absolute deviation, we take the absolute value of the difference between each weight and the mean, and then take the average:

= (|5-44.3| + |24-44.3| + |38-44.3| + |52-44.3| + |66-44.3| + |85-44.3|) / 6
= (39.3 + 20.3 + 6.3 + 8.3 + 22.3 + 41.3) / 6
= 137.5 / 6 = 22.9

So the mean absolute deviation is 22.9, rounded to the nearest tenth.

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Answer:

$ 42.78

Step-by-step explanation:

See attachment for the figure

The formula of the lateral area of the rectangular prism is:

LA = perimeter of base × height

Given:

The length of the base 'l' = 9 m

The width of the base 'w'= 5 m

The height of the prism 'h'= 7 m

perimeter of the base can be determined by

Perimeter of base = 2(l  + w ) =>2(9 + 5)

Perimeter of base = 28 m

By using the formula of the lateral area

LA = 28 × 7

LA = 196 m²

Required:

sheet steel cost per square meter=?

Given: The total cost of the sheet steel was $8384

            LA =  196 m²

By Dividing the cost by the lateral area, we'll know our unit cost

therefore, The unit cost = 8384 ÷ 196

The unit cost =$ 42.78

The sheet steel costed $42.78 per square meter

Answer:

A is 4x^2+84x+440 and B=840 square inches

Step-by-step explanation:

A is 4x^2+84x+440 and B=840 square inches

The task for a is to write a polynomial in standard form that represents the combined area of the photo and the frame. First, lets start with the bottom of the picture and frame.  On the bottom, you have 2x+ 22 inches.  Then the side of the picture and frame is 2x+20 inches. Writing in polynomial form, it would be  (2x+22)(2x+20). You would get 4x^2+84x+440 since you are using the FOIL method. Now for part b, we know that the width of the frame(or x) is 4 inches. Now we plug that into the equation.  84x is 84x4. 84x4=336   x^2 is 16.   There are four of those as you can see in the equation so 16x4=64    

336+64=400 inches    Frame= 400 inches

400 inches plus the picture(440 inches) =  840 square inches.

Length of the rectangular photo = 22 inches

Width of the rectangular photo = 20 inches

Since, width of the frame outside the photo = x inches

Therefore, increase in length and width of the photo with frame = (x + x)

                                                                                                           = 2x inches

Length of the photo with frame = (22 + 2x) inches

Width of the photo with frame = (20 + 2x) inches

Combined Area of the photo in the frame = Length × Width

                                                                      = (22 + 2x)(20 + 2x)

                                                                      = 22(20 + 2x) + 2x(20 + 2x)

                                                                      = 440 + 44x + 40x + 4x²

                                                                      = 4x² + 84x + 440

Therefore, polynomial representing the combined area of the photo in the frame will be (4x² + 84x + 440) square inches.

If width of the frame = 4 inches

Combined area of the photo = 4(4)² + 84(4) + 440

                                                 = 840 square inches

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Answer:

24 students

Step-by-step explanation:

- I would suggest making a list of all numbers between 20-30.

21 (divisible by only 3) = wrong

22 (divisible by only 2) = wrong

23 (not divisible) = wrong

24 (divisible by 2, 3, 4, 6, and 8) = correct

25 (not divisible) = wrong

26 (divisible by only 2) = wrong

27 (divisible by only 3) = wrong

28 (divisible by only 2 and 4) = wrong

29 (not divisible) = wrong

- Now, find if they factor into 2, 3, 4, 6, and 8. I will do this, but read what I put.

- Hope this helps! If you would like a further explanation please let me know.

The number of students in the classroom is 24, as it is the smallest multiple of 2, 3, 4, 6, and 8 that is between more than 20 and fewer than 30.

The student is given a number puzzle in a mathematics classroom setting. Based on the teacher's hints, the number of students in the classroom should be a common multiple of 2, 3, 4, 6, and 8 that also fits within the given range of between more than 20 and fewer than 30. We need to find the least common multiple (LCM) of these numbers that fits the criteria.

First, realize that since the number must be divisible by 8, it must be at least 24 since 16 is too low.

Next, confirm if 24 is also divisible by 2, 3, 4, and 6. It is indeed, as 24=2x12, 24=3x8, 24=4x6, and 24=6x4.

Because 24 is the only number between 20 and 30 that is divisible by all the given numbers, it is the answer.

Thus, the number of students in the classroom is 24.

Answer:

C) 57,600 marbles

C) 460,800 marbles

Step-by-step explanation:

First we need to determine how many minutes in 8 hours

8 hours* 60 minutes/1 hour = 480 minutes

Take the marbles per minute * time in minutes

120 marbles / minutes * 480 minutes = 57600 marbles

This would be the number of marbles per shift

4 days with 2 shifts per day = 8 shifts per week

8 shifts * 57600 marbles / shift =460800 marbles per week

Answer:

1) C) 57,600 marbles

2) C) 460,800 marbles

Step-by-step explanation:

1) 120 × 8 × 60

57,600

2) 4 × 2 × 57,600 marbles

460,800

Answer:

$1,444.50.

Step-by-step explanation:

To calculate the combined cost of the repair and sales tax at Store B:

Cost of repair at Store B: $1,350

Sales tax rate at Store B: 7%

Now, let's calculate the sales tax:

Sales tax = 1,350 × 7/100 = 1,350 × 0.07 = 94.50

Next, add the sales tax to the repair cost:

Total cost = 1,350 + 94.50 = 1,444.50

Thus, the combined cost of the repair and sales tax at Store B is $1,444.50.

Answer:

Step-by-step explanation:

B part

the variability of the two distributions appears to be about the same.

C part

. /. = .

the separation of . MADs. There is a  difference between the population means. Going to college is worth the effort.

Answer:

B, C, AND E

Step-by-step explanation:

The scale factor is, 0.25.

The length of side A is 8.75 cm.

The scale factor defines a variable in a ratio of two different measurements.

Sometimes drawings of large models are represented in a scale factor of a smaller unit.

From the given information length of the preimage is 60 cm and the corresponding image length is 15 cm.

So, The scale factor is,

= (15/60).

= 1/4.

= 0.25.

Therefore, The length of side A is,

= 35×0.25 cm.

= 8.75 cm.

The length of side B is,

= 25×0.25 cm.

= 6.25 cm.

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Answer:no

Step-by-step explanation:a right triangle needs a 90 degrees angle

Answer:

8

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

5(x/2 + 3) = 35

Combine like terms

5x/10 + 15 = 35

Subtract both sides by 15

5x/10 = 20

divide both sides by 5

x/2 = 4

multiply by 2

x = 8

Answer:

The graph of G(x) is the graph of F(x) flipped over the x-axis and stretched vertically.

Step-by-step explanation:

Answer:

can not be a triangle

Step-by-step explanation:

4 plus 6 equals 10 not nore than twelve.

Answer: N

Step-by-step explanation:

A polynomial of degree n appears to have n solutions

Answer:

n

A polynomial of degree n appears to have

n solutions.

Answer:

Hence in 52 weeks he will distribute 156 $ with 3 $ per week from his pay

Step-by-step explanation:

Given:

156 $ to United way  for  a year.

With each weeks.

To Find:

How much amount he will take for pay for giving to United way.

Solution:

He wants to give money to united way in a year

So there are 365 days per year

And he held money from is his pay every week

So there 7 days per weeks.

Hence Total number of weeks in a year will given by,

=365/7

=52 weeks per year

Now he held every week from his pay to United way

And Total amount to distribute is about 156 $ in 52 weeks.

So Every week amount will be

=156$/52

=3 $ /week

Final answer:

To donate $156 to United Way over a year, Philip needs to have $3 withheld from his savings each week.

Explanation:

To calculate the amount Philip will need to have withheld every week to give $156 to United Way over a year:

First, find the number of weeks in a year (52 weeks).

Divide the total amount to be donated ($156) by the number of weeks in a year to find the weekly amount: $156 ÷ 52 = $3.

Therefore, Philip will need to have $3 withheld from his savings each week to donate $156 to United Way over a year.

Answer:

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

2401 = 7⁶⁻²ˣ

7⁴ = 7⁶⁻²ˣ

4 = 6 - 2x

2x = 6 - 4

2x = 2

x = 1

Final answer:

There is no integer power of 7 that exactly equals 2041, as 7 to the power of 4 is 2401, which is the closest integer power of 7 that is higher than 2041.

Explanation:

The question asks to determine the power of 7 that equals 2041, which is written mathematically as 2041 = 7x. To solve this, one approach is to estimate and refine by trying different powers of 7 until we get close to 2041. Here's how the estimation process could work:

Start with lower powers of 7 like 72 = 49, and increase the exponent.

Notice that 73 = 343 and 74 = 2401.

Since 2401 is just above 2041, we suspect our answer will be close to 4 but slightly less.

Checking with a calculator or using a division strategy, we can confirm that 2041 is slightly below 74, making it clear there's no integer power of 7 that equals 2041.

Therefore, there isn't an integer power of 7 that precisely equals 2041.

Final answer:

To reach $500 with a 4% APR compounded monthly, you would need to invest $1.67 each month for the next 6 months.

Explanation:

To calculate how much needs to be invested each month for the next 6 months to have $500 with a 4% APR compounded monthly:

This calculation ensures the necessary monthly investment to reach the desired future value, facilitating financial planning and goal setting.

Answer:

The one that best describes the amount is 10.00 + 2.50 x 3

Step-by-step explanation:

10,00 + 2,50 = 12,50

12,50 x 1 = 12,50

12,50 x 2 = 25,00

12,50 x 3 = 37,50

12,50 x 4 = 50,00

Final result 12.50 x 3

Answer:

A. Just did it on edge. She can buy from 0 to 12 bags, but no more.

Answer:

(2.4, -1.2)

Step-by-step explanation:

Start by moving the x and the y to the same side and moving the number across the equal sign in both equations. We should now have y-0.45x=-2.3 and 2y+4.2x=7.8. We can use the elimination method by multiplying the first equation by -2 to get -2y+0.9x=4.6 and 2y+4.2x=7.8. From there, add the two equations together, eliminating y (-2+2=0). We now have 5.1x=12.4; divide both sides by 5.1 to get x=2.4. Then, in any of the two equations, let's use y-0.45x=-2.3, substitute x with 2.4. Now we have y-1.08=-2.3. Add 1.08 to both sides to get y=-1.22; round that to the nearest tenth to get -1.2.

Answer:

1,000

Step-by-step explanation:

$12,000÷800 =15. x=people attending

$15,000÷x=15. x=1,000

$15,000×1,000=15

Final answer:

Using the concept of direct variation, a constant of variation ($15 per person) was calculated using the provided sales and attendance. This constant was then used to find the attendance for a different sales amount, which was found to be 1000 people for $15,000 in sales.

Explanation:

The question asks us to determine how many people attended a baseball game based on the direct variation between sales and attendance. Since we know that at 800 people the sales are $12,000, we can set up a proportion to solve for the number of people when sales are $15,000.

First, we find the constant of variation (k) by dividing the sales by the number of people for the given data point:

k = Sales / Number of people = $12,000 / 800 = $15 per person

Next, we use this constant to find the number of people when sales are $15,000:

Number of people = Sales / k = $15,000 / $15 per person = 1000 people

Therefore, 1000 people attended the game when the sales were $15,000.

Answer:

c

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The area of the rectangle would be 30 while the area or the triangle is 6

Rectangle

b x h = A

5 x 6 = 30

A = 30

Triangle

1/2 x b x h = A

1/2 x 3 x 4 = A

1/2 x 12 = 6

A = 6

Answer:

b

Step-by-step explanation:

Answer:

-94.

Step-by-step explanation:

((0−3×32)−8÷2)+6

((0−96)−8÷2)+6

(-96−8÷2)+6

(-96−4)+6

-100+6

-94

Answer:

-94

Step-by-step explanation:

-3 x 32 - 8 ÷ 2 + 6

-96 - 4 + 6

-96 + 2

-94

Answer:get your money up ohh and its 6.7

Step-by-step explanation:

Answer:

172.8°

Step-by-step explanation:

the answer is in the picture

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