The volume V of a solid right circular cylinder is given by V = πr2h where r is the radius of the cylinder and h is its height. A soda can has inner radius r = 1.5 inches, height h = 6 inches, wall thickness 0.04 inches, and top and bottom thickness 0.07 inches. Use linearization to compute the volume, in cubic inches, of metal in the walls and top and bottom of the can. Give your answer to 2 decimal places.

Answer:

$7.5/hour

Step-by-step explanation:

Sonya is paid time and half for hours worked in excess of 40 hours

She has a gross weekly wages of $345 for 44 hours

Let y represent sonya's hourly rate

Since she is paid one and half then it can be represented as 1.5y

Sonya is suppose to work for a period of 40 hours, this means that she has 4 overtime hours

Therefore Sonya regular hourly rate can be calculated as follows

40y + 4(1.5y) = 345

40y + 6y = 345

46y= 345

y = 345/46

y= 7.5

Hence Sonya's regular hourly rate is $7.5/hour

Range: 71.9

Spread out above the median

The range is the biggest number minus the smallest number. This makes sense. The range here is 81.3 - 9.4 = 71.9.

Next, see the two middle groups? You can see the median, 45.5. Does the left or right side seem more spread out? It's the right side. 34.7 is closer to 45.5 than 63.6 is to 45.5.

Hope that helped,

-sirswagger21

Answer:

It would be Square root of 38, and square root of 44 because they are all between 5 and 10. I'm sure you don't need their exact values, but that's them.

If you have nay more questions let me know! :)

Using proportions, it is found that he should collect 80 signatures in each week.

A proportion is a fraction of a total amount.

He currently has 520 signatures, and needs 1000, hence he needs to collect more 1000 - 520 = 480 signatures.

He has six weeks to collect the signatures, hence the number he needs to collect each week is given by:

N = 480/6 = 80.

More can be learned about proportions at https://brainly.com/question/24372153

Using the formula of area of a circle, about 226.08in² has been eaten

The diameter of the pizza is given as 24 inches. To calculate the area of the entire pizza, we need to use the formula for the area of a circle:

Area = π * r²

where π is approximately 3.14 and r is the radius of the circle.

Given that the diameter is 24 inches, the radius (r) would be half of the diameter, which is 12 inches.

Let's calculate the area of the entire pizza first:

Area = 3.14 * 12²

Area = 3.14 * 144

Area ≈ 452.16 square inches

Now, if half of the pizza is consumed, we need to calculate the area of half of the pizza. To do that, we divide the area of the entire pizza by 2:

Area of half of the pizza = 452.16 / 2

Area of half of the pizza ≈ 226.08 square inches

Therefore, if half of the pizza is consumed, approximately 226.08 square inches of pizza would be eaten.

Learn more on area of a circle here;

https://brainly.com/question/15673093

#SPJ1

Answer:

I think it would be 8.

3+4=7 so

3+5=8

Answer:

ratio 3 : 8 has a total of 3 + 8 = 11 parts.

Step-by-step explanation:

Wow it got deleted huh

The given question is incomplete. The complete question is:

A farmer sells 9.9 kg of pears and apples at the farmers market. 3/4 of this weight is pears,and the rest is apples.how many kilograms of apples did she sell at the farmers market.

Answer: The farmer sells 2.475 kg of apples.

Step-by-step explanation:

Given : Total weight of pears and apples = 9.9 Kg

\(\frac{3}{4}\) of the total weight is pears

Hence, weight of pears = \(\frac{3}{4}\times 9.9=7.425 Kg\)

Therefore weight of apples = Total weight - weight of pears = (9.9 -7.425) = 2.475 Kg  

Answer:

5m  the last option is correct

Step-by-step explanation:

by phythagorean theorem

hypotenuse^2=base^2+altitude^2

hypotenuse ^2= (4)^2+(3)^2

                        =16+9

                        =25

taking square root on both isdes

 hypotenuse=5 m

Answer:

41 ft 2 in

Step-by-step explanation:

Since the two triangles in question, that means that the triangles have the same proportions. We know that GH = 16 ft 7 in = 199 in (16x12+7) and HN = 6 ft 3 in = 75 in (6x12+3). GH/HN is 199/75. This is the same ratio that GO/AN will have as well. GO is unknown so we will denote it as x and AN = 15 ft 6 in = 186 in (15x12+6). We know that these two fractions are equal. 199/75 = x/186 solving for x, we get x = 493.52 in and converting that into feet we get 41 ft 1.52 in which rounds to 41 ft 2 in.

Answer:

43

Step-by-step explanation:

90 is on a straight line with an interior angle of the triangle. So, they add to 180. 90+x=180

x=90

133 is also on a straight line. 180-133= 47

47+90=137

that leaves p as 180-137 or 43.

Answer: x = -26

Step-by-Step Explanation:

14-65 = -25+x

-51 = -25+x

-26 = x

Answer:

The change in the water level per hour for Min-Jun's swimming pool is 1016.31 Gallons per hour.

Step-by-step explanation:

Since we have a total amount of 10,874.5 gallons and 10.7 hours total to drain the full pool we divide the total amount by the total time, assuming that the pool drains at a constant rate. When we divide 10,874.5 by 10.7 we get 10.16.3084... and rounding it to the nearest hundreth or the second decimal place we get 1,016.31 gallons per hour.

We can see that the statement is not always true for any vectors u and v in V3.

The statement is not always true.

The cross product of vectors u and v in V3 is a vector that is orthogonal to both u and v. That is,

u x v ⊥ u and u x v ⊥ v

However, this does not necessarily mean that (u x v) * u = 0 for all u and v in V3.

For example, let u = <1, 0, 0> and v = <0, 1, 0>. Then,

u x v = <0, 0, 1>

(u x v) * u = <0, 0, 1> * <1, 0, 0> = 0

So in this case, the statement is true. However, consider the vectors u = <1, 1, 0> and v = <0, 1, 1>. Then,

u x v = <1, -1, 1>

(u x v) * u = <1, -1, 1> * <1, 1, 0> = 0

So in this case, the statement is also true. However, if we take the vector u = <1, 0, 0> and v = <0, 0, 1>, then

u x v = <0, 1, 0>

(u x v) * u = <0, 1, 0> * <1, 0, 0> = 0

So in this case, the statement is true as well.

However, if we take the vector u = <1, 1, 1> and v = <0, 1, 0>, then

u x v = <1, 0, 1>

(u x v) * u = <1, 0, 1> * <1, 1, 1> = 2

So in this case, the statement is not true.

Therefore, we can see that the statement is not always true for any vectors u and v in V3.

Learn more about vectors

brainly.com/question/29740341

#SPJ11

Answer:

slope is 1/2

Step-by-step explanation:

rise is 1 and run is 2

Answer:

byebyebyebyebyebbyebyebye

Answer:

11 meters.

Step-by-step explanation:

The important thing to note here is that the backyard is a square. Since it's a square, all of its sides all equivalent in length. Thus, let's find the length of the sides. To do this, we use the area formula.

The formula for the area of a square is:

\(A=n^2\)

Where n is a side. Since we know the area already, we can find n. Find n:

\(121=n^2\\n=11\)

Since every side in a square are equivalent, all sides are 11 meters in length.

Therefore, each section of the fence should be 11 meters long.

Answer:

9x+55

Step-by-step explanation:

6x + 3x = 9x

80-25=55

9x+55

Answer: what grade u in?

Step-by-step explanation:

Answer:

Step-by-step explanation:

It takes about 525,600 minutes for the earth to fully rotate around the sun in minutes!

Answer:

20 5-point questions and 10 10-point questions

Step-by-step explanation:

The correct answer to the question is option d) 75 PCF.

To calculate the expected vertical load, we need to consider the weight of the concrete slab and the additional load due to the concrete's temperature and pouring rate. The weight of the slab can be calculated by multiplying the density of the concrete (150 PCF) by the depth (6 inches) and the area (1 square foot). This gives us a weight of 75 pounds per square foot (PSF).

The temperature and pouring rate do not directly affect the vertical load. The temperature and pouring rate are factors that may affect the structural integrity of the slab or the time it takes for the concrete to fully cure. However, they do not contribute to the actual load borne by the slab itself. Therefore, the correct answer is 75 PCF, as it represents the weight of the concrete slab alone.

For more information on PCF visit: brainly.com/question/21579391

#SPJ11

The expected value of the dollars in dollars is 0.36

Given that,

Assume that a bag contains 30 quarters, 17 dimes, and 13 nickels, and that one coin is picked at random.

30 quarters, 17 dimes, 13 nickels

Expected value of the draw

=30/60 * 0.25 + 17/60 * 0.1 + 13/60* 0.05

= 0 . 16416

~ 0.16

Expected value of X

= - 4 x0.15 + (-2) x 0.23 + 0x 0.28+1 x 0.19 + 3 x 0 . 12 + 5 x 0. 03

= - 0.36

Hence, The expected value of the draw in dollars is 0.36

To learn more about expected value click here:

https://brainly.com/question/2516550

#SPJ4

The required rate of return (or minimum acceptable rate of return) is 20 percent. If the net cash flows are $15,000 per year for ten years, the total cash flow is $150,000. The project's cost is $47,500. We can now apply the net present value formula to determine whether or not the project is feasible.

Net Present Value (NPV) = Cash flow / (1 + r)^n - Cost Where, r is the discount rate, n is the number of years, and Cost is the initial outlay.

Net Present Value = 150000 / (1 + 0.20)^10 - 47500

Net Present Value = $67,482.22

Since the NPV is positive, the project is feasible. When calculating net present value, it's important to remember that a positive NPV implies that the project is expected to generate a return that exceeds the cost of capital, whereas a negative NPV indicates that the project is expected to generate a return that is less than the cost of capital, and as a result, it should be avoided.

Know more about NPV here:

https://brainly.com/question/32720837

#SPJ11

Answer:

njblhgkc dggh,bn bhjvbhj,n hg cfxzedsetxdrycfuvgibkhjnm

Step-by-step explanation:

Answer:

50 times

Step-by-step explanation:

Total number of faces = total possible outcomes = 8

Number of 2 or 3 on spinner = required outcome = 2

Probability of obtaining a 2 or 3 = required outcome / Total possible outcomes

P(2 or 3) = 2 / 8 = 1/ 4

From 200 ; prediction for the number of 2 or 3

1/4 * 200

= 50 times

Answer:

-19.8

Step-by-step explanation:

In Fairbanks     ,         at noon    -18

it decreased with 1.2 per hour for the next 7 hours .

so in total  it decreased by  1.2 x 7 =  8.4

so at 7 pm it was   -18-8.4   =    -26.4

In Grand Forks at  7 pm          3/4 of  -26.4   =   -19.8    

The probability distribution of y is:

y = 0: 0.16

y = 1: 0.24

y = 2: 0.14

y = 3: 0.10

To determine the probability distribution of the random variable y, which represents the number of days beyond Wednesday it takes for both magazines to arrive, we can construct a tree diagram to visualize the different combinations of arrival days for the two magazines.

In the tree diagram, the first generation of branches represents the possible arrival days for Magazine 1 (M1), and the second generation represents the possible arrival days for Magazine 2 (M2).

The numbers in parentheses represent the value of y, the number of days beyond Wednesday. For example, (1) indicates y = 1, which means both magazines arrive on Thursday.

To determine the probability associated with each outcome, we multiply the probabilities of the individual branches along the corresponding paths.

Using the provided probabilities:

P(W) = 0.40, P(T) = 0.30, P(F) = 0.20, P(S) = 0.10

The probability distribution of y is as follows:

y = 0: P(M1 = W and M2 = W) = P(W) * P(W) = 0.40 * 0.40 = 0.16

y = 1: P(M1 = W and M2 = T) + P(M1 = T and M2 = W) = P(W) * P(T) + P(T) * P(W) = 0.40 * 0.30 + 0.30 * 0.40 = 0.24

y = 2: P(M1 = W and M2 = F) + P(M1 = T and M2 = T) + P(M1 = F and M2 = W) = P(W) * P(F) + P(T) * P(T) + P(F) * P(W) = 0.40 * 0.20 + 0.30 * 0.30 + 0.20 * 0.40 = 0.14

y = 3: P(M1 = W and M2 = S) + P(M1 = T and M2 = F) + P(M1 = F and M2 = T) + P(M1 = S and M2 = W) = P(W) * P(S) + P(T) * P(F) + P(F) * P(T) + P(S) * P(W) = 0.40 * 0.10 + 0.30 * 0.20 + 0.20 * 0.30 + 0.10 * 0.40 = 0.10

for more questions on probability

https://brainly.com/question/251701

#SPJ8

The break-even price for Decaf Columbian is $8.85

To determine breakeven price for Decaf Columbian, we have to get total cost of processing and selling it and divide it by the number of pounds produced after the 4% loss due to evaporation.

The total cost of processing is:

= $13,750 + (5,500 x $6.00)

= $46,750

The pounds produced after evaporation is:

= 5,500 x (1 - 0.04)

= 5,280 pounds

The breakeven price for the company will be:

= $46,750 / 5,280 pounds

= $8.85416667

= $8.85

Read more about break-even

brainly.com/question/30996948

#SPJ1

The nurse should set the IV pump to deliver 125 mL/hr in order to administer the D5W 750 mL IV over 6 hr.

The nurse should set the IV pump to deliver 125 mL/hr in order to administer the D5W 750 mL IV over 6 hr. To calculate the infusion rate, you can use the formula:

Infusion rate (mL/hr) = Volume to be infused (mL) / Infusion time (hr)

In this case, the volume to be infused is 750 mL and the infusion time is 6 hr. Plugging these values into the formula, we get:

Infusion rate (mL/hr) = 750 mL / 6 hr = 125 mL/hr

Therefore, the nurse should set the IV pump to deliver 125 mL/hr in order to administer the D5W 750 mL IV over 6 hr.

Learn more about IV pump at https://brainly.com/question/29257638

#SPJ11