The soup pot is 8 inches tall with a radius of 3 inches.
What is the volume of the soup pot?
150.8 cubic inches
anything
99+

Answer:

The sample size is  \(n = 2401\)

Step-by-step explanation:

From the question we are told that

    The margin of  error is  \(E= 2\% = 0.02\)

Given that the  confidence level is  95% then the level of significance is mathematically evaluated as

          \(\alpha = (100 - 95)\%\)

            \(\alpha = 5\% = 0.05\)

The  critical value of \(\frac{\alpha }{2}\)  obtained from the normal distribution table is   \(Z_{\frac{\alpha }{2} } = 1.96\)  

Let assume that the sample proportion is  \(\r p = 0.5\)

 Generally the sample size is evaluated as

            \(n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \r p ( 1- \r p )\)

            \(n = [\frac{1.96}{0.02} ]^2 * 0.5 ( 1- 0.5 )\)

            \(n = 2401\)

Answer:

Gold is in Box 1

Step-by-step explanation:

There are 3 boxes. One of them contains gold

In each box, there is a message, and one of them is true.

Box 1: "The gold is not in Box 2".

Box 2: "The gold is in this box"

Box 3: "The gold is not in this box".

Which box has the gold?

Answer:

O Box 1

O Box 3

O Box 2

There's not enough info

Assume each statement to be true at a time, and check for contradictions.

Box 1: "The gold is not in Box 2".

Assume True. Gold in 1 or 2.

Box 2: "The gold is in this box"

False. Gold not in 2.

Box 3: "The gold is not in this box".

False. Gold in 3

Contradiction between box1 and box 3 message.

Box 2: "The gold is in this box"

Assume true. Gold in 2.

Box 1: "The gold is not in Box 2".

False. Gold in 2.

Box 3: "The gold is not in this box".

False. Gold in 3.

Contradiction between boxes 2 and 3. Box 2 message cannot be true.

Box 3: "The gold is not in this box".

Assume true. Gold in 1 or 2.

Box 1: "The gold is not in Box 2".

False. Gold in 2.

Box 2: "The gold is in this box"

False. Gold not in 2.

No contradictions.

Gold must be in 1.

Answer: Gold is in Box 1

Step 2:  He lines up his protractor with the baseline on the ray and the origin of the protractor on the vertex.

Based on the steps given, Jimmy accurately measures the angle by properly aligning the protractor's baseline with the ray.

Moreover, he positions the point of origin of the protractor at the vertex, which is the juncture where the two arms of the angle converge. By aligning the protractor correctly on the vertex, the measurement of the angle can be made more precise.

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First let's determine the number of squats per minute by finding the ratio of the number of squats per minute.

This means that you can do 15 sit-ups in one minute.

The measure of side length EF in the right triangle is 24.

The Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

It is expressed as;

c²  = a² + b²

From the diagram:

Hypotenuse DE = c = 26

Leg DF = a = 10

Leg EF = b = ?

Plug in the values and solve for b:

c²  = a² + b²

26²  = 10² + b²

676  = 100 + b²

b² = 676  - 100

b² = 576

b = +√576 ( we take the positive value since we are dealing with dimensions)

b = 24

Therefore, the length EF is 24.

Option C)24 is the correct answer.

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The set (A U B) n (A U C) is {2, 5, 7, 10}. A.

To find the set (A U B) n (A U C), we first need to calculate the union of sets A and B, and then calculate the union of that result with set C. Finally, we find the intersection of these two sets.

Set A U B:

The union of sets A and B, denoted as A U B, is the combination of all elements from both sets without any repetitions.

A contains the elements 2, 5, 7, and 10, while B contains the elements 1, 2, and 3.

A U B consists of the elements {1, 2, 3, 5, 7, 10}.

Set (A U B) U C:

Next, we calculate the union of the set (A U B) with set C, denoted as (A U B) U C. A U B contains the elements {1, 2, 3, 5, 7, 10} and C contains the elements {1, 2, 3, 4, 5}.

Taking the union of these two sets results in {1, 2, 3, 4, 5, 7, 10}.

Finding the intersection:

Finally, we find the intersection of (A U B) U C with A U C. A U C consists of the elements {2, 5, 7, 10}.

The intersection of these two sets is the combination of common elements.

The common elements are {2, 5, 7, 10}.

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Answer:

808

Step-by-step explanation:

Plan

You make 48 payments of 158.50. That gives you the total of what you have paid back.

Equation

Total payment = months * monthly payments

Solution

Total Payment = 48 * 158.50

Total Payment = 7608

Cost of the loan

Finance charge = amount paid - amount loaned

Finance charge = ?

amount paid = 7608

amount loaned = 6800

Finance charge = 7608 - 6800

Answer: Finance charge = 808

Answer:

y=3x+6

Step-by-step explanation:

Answer:

3x+6

Step-by-step explanation:

If it is on Khan you will get it right if you do this answer.

Answer:

7040 yards

Step-by-step explanation:

1 mile = 1760 yards

1 x 4 miles = 1760 x 4 yards

4 miles = 7040 yards

Work Shown:

Complementary angles add to 90 degrees.

A+B = 90

(3x+18)+(2x+17) = 90

5x+35 = 90

5x = 90-35

5x = 55

x = 55/5

x = 11

Then we can determine each angle:

As a check: A+B = 51+39 = 90 to confirm the answer.

We can use the normal approximation to the binomial distribution to find the interval that contains approximately 95.44 percent of all the possible sample proportions when p=.5 and n=250.

The mean of the distribution of sample proportions is equal to the population proportion (p), which is 0.5 in this case. The standard deviation of the distribution is given by:

σ = sqrt(p(1-p) / n) = sqrt (0.5 * 0.5 / 250) = sqrt (0.0002) = 0.014

Using a z-score of 1.96 to correspond to a confidence level of 95.44 percent (since the standard normal distribution has a proportion of approximately 0.9544 within 1.96 standard deviations of the mean), we find the lower and upper bounds of the interval:

lower bound = p - zσ = 0.5 - 1.96 * 0.014 = 0.471

upper bound = p + zσ = 0.5 + 1.96 * 0.014 = 0.529

Therefore, the interval that contains approximately 95.44 percent of all the possible sample proportions is (0.471, 0.529).

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Answer:

16 miles

Step-by-step explanation:

we know that 1 inch= 8 miles, so if it was 2 inches we would have to multiply 8 by 2, which would give us 16.

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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Hey!

Let's solve this together.

5x+1 = 1+x2

Possible Answers: {5,4,3,2}

Lets start with 5.

5(5)+1 = 1+2(5)***

25+1 = 1+10

26 ≠ 11

So, 5 is NOT the answer.

Now, 4.

5(4)+1 = 1+(4)2

20+1 = 1+8

21 ≠ 9

So, 4 is NOT the answer.

Now, 3.

5(3)+1 = 1+(3)2

15+1 = 1+6

16 ≠ 7

So, 3 is NOT the answer.

Lastly, 2.

5(2)+1 = 1+(2)2

10+1 = 1+4

11 ≠ 5

So, 2 is NOT an answer.

So, the answer is: None of the above. None of them can be answers because none of them make the statement true.

***(In algebra, we start using parenthesis instead of the dot for multiplication when using numbers.)

Hope this helps!

Answer:

  3.5

Step-by-step explanation:

As a first approximation of the square root, you can look at the integers relating the given number to the next lower square number. The next lower square number is 3^2 = 9.

  12 = n^2 +r = 3^2 +3 . . . . . n = 3, r = 3

The approximate square root is ...

  n +r/(2n+1) = 3 +3/7 ≈ 3.429

This value tends to be a little low. Alternatively, the root can be estimated as ...

  n +r/(2n) = 3 +3/6 = 3.5

This value tends to be a little high.

A reasonable estimate of √12 is 3.5.

__

Of course, your calculator can tell you instantly that the root is about 3.464102, close to 3.5.

_____

Additional comment

The relation we used above simplifies the work of linear interpolation between the points (9, 3) and (16, 4) on the square root curve. For some n between 9 and 16, the interpolated root value r would be found from ...

  (n -9)/(16 -9) = (r -3)/(4 -3)

  (n -9)/7 = (r -3)/1

  r = 3 +(n -9)/7 = 3 +(12 -9)/7 = 3 +3/7 . . . . as above

Note that "r" is used for "root" in this discussion. In the above answer, "r" is used for "remainder."

Answer:

1 in 144

Step-by-step explanation:

There is one 8 on a 12-sided die, so the probability of rolling an 8 once is \(\frac{1}{12}\).

We are rolling twice, so \((\frac{1}{12})^{2} =\frac{1}{144}\).

It will take 15 days for the hair to grow from 12mm to 16.5mm

By "average rate" in this context, we mean the typical or usual amount of hair growth per unit of time, which is often measured in millimeters per day. This rate can vary slightly depending on factors such as age, gender, genetics, diet, and overall health.

Let's first find out how much the hair needs to grow by subtracting its initial length (12mm) from its target length (16.5mm):

16.5mm - 12mm = 4.5mm

Now we can divide this growth by the average rate of hair growth to find the number of days it will take to grow this much:

4.5mm ÷ 0.3mm/day = 15 days

Therefore, it will take 15 days for the hair to grow from 12mm to 16.5mm.

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519 children chose apple slices.

Given that Daisy's Diner offers a side dish of broccoli, apple slices, or pretzels with their kids' meals, and last weekend, they sold 1,038 kids' meals, and twice as many kids chose pretzels as chose broccoli and 3 times as many chose apple slices as chose broccoli, to determine how many kids chose apple slices, the following calculation must be performed:

Therefore, 519 children chose apple slices.

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Answer:519 children chose apple slices.

Step-by-step explanation:

An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;

(x, y)                →            (y, -x)

Point N = (-4, -1)          →     Point N' (-1, 4)

Point O = (-4, -3)          →     Point O' (-3, 4)

Point G = (0, -1)          →     Point G' (-1, 0)

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Answer:

$23.45

Step-by-step explanation:

5.79 x 2.25 = 13.03

5.79 x 1.8 = 10.42

total = 23.45

Answer/Step-by-step explanation:

✔️Find AC using Pythagorean Theorem:

AC² = 25.2² - 11.3²

AC² = 507.35

AC = √507.35

AC = 22.5 (nearest tenth)

✔️Find m<A using trigonometric ratio:

Reference angle = A

Opp = 11.3

Hyp = 25.2

Sin(A) = opp/hyp

Sin(A) = 11.3/25.2

A = sin^{-1}(11.3/25.2)

A = 26.6° (nearest tenth)

✔️Find m<B using trigonometric ratio:

Reference angle = B

Adj = 11.3

Hyp = 25.2

Cos(A) = adj/hyp

Cos(A) = 11.3/25.2

A = cos^{-1}(11.3/25.2)

A = 63.4° (nearest tenth)

Answer:

Step-by-step explanation:

2.6 plus 1.8 plus 4.2 is 8.6. subtract this from 12 to get your answer of 3.4

If the estimated length of all four trails is 12 miles the possible length for trail D will be 3.4 miles.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

Terms are similar, and we can perform arithmetic operations on them like addition and subtraction.

It is obtained from the table that the length of trails A, B, and  C will be 2.6, 1.8, and 4.2 miles.

It is given that the estimated length of all four trails is 12 miles the length of Trail D is obtained by adding all the given lengths of the trails and subtracting it from the total length.

= 2.6 + 1.8, + 4.2 miles.

= 8.6 miles

The length of trail D is,

= 12 miles - 8.6 miles

= 3.4 miles.

Thus, if the estimated length of all four trails is 12 miles the possible length for trail D will be 3.4 miles.

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Answer:

\(5x^4-\frac{25x^4}{x+8}+\frac{5x^5}{(x+8)^2}\)

Step-by-step explanation:

\(f(x)=x^5\\f'(x)=5x^4\\g(x)=1-\frac{5}{x+8}\\g'(x)=\frac{5}{(x+8)^2}\\\\\frac{d}{dx}f(x)g(x)\\\\=f'(x)g(x)+f(x)g'(x)\\\\=5x^4(1-\frac{5}{x+8})+x^5(\frac{5}{(x+8)^2})\\\\=5x^4-\frac{25x^4}{x+8}+\frac{5x^5}{(x+8)^2}\)

An IV is infusing at 77mcgtt/min. rate of flow equal in mL/h is 77 mL/h

1gtt/min equals 3.00 mL/h

If you simply need to figure out the infusion rate, or the mL per hour to infuse, take the total volume in mL, divided by the total time in hours that the medication is ordered to be infused over, to equal the rate in mL per hour.

1 drop per minute to milliliters per hour = 3.00 mL/h

2 drops per minute to milliliters per hour = 6.00 mL/h

Change hours to minutes. Change milliliters to drops.

1 ml : 60mcgtt

1hr :60min

77mcgtt/min =77*60/60 ml/h

                  =77ml/h

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Answer:

-410

Step-by-step explanation:

Hope this will help you dude

Answer:

c) -410

Step-by-step explanation:

-435 + 25 = -410

The customer will pay $6.30 for the 60 local calls that all lasted 3 minutes.

To find out how much the customer will pay, we need to calculate the total cost for all the local calls.
Step 1: Calculate the total number of minutes for all the calls
Since the customer made 60 local calls and each call lasted 3 minutes, we can multiply 60 by 3 to get the total number of minutes.
60 calls * 3 minutes/call = 180 minutes
Step 2: Calculate the total cost for all the minutes
The customer pays $0.035 per minute for local calls. To find the total cost, we can multiply the total number of minutes by the cost per minute.
180 minutes * $0.035/minute = $6.30

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Answer:

height = 4 in

base = 5 in

Step-by-step explanation:

The area of a triangle can be found using the equation:

\(A = \frac{1}{2} bh\)

where \(b\) is the base of the triangle and \(h\) is the base.

In order to plug into this equation, we need to use the relationship between the base and height. It is given that the base is 3 inches shorter than twice the height. Converting this to a mathematical equation:

\(b = 2h-3\)

Since we are given that the area is 10 inches squared, we can now plug into the area equation to solve for the height (using the quadratic formula):

\(10 = \frac{1}{2} (2h-3)(h)\\2h^2 - 3h -20 = 0\\h = 4\)

** We reject the negative solution of -5/2, since the triangle's height cannot be negative.

Now, we can simply plug in this height to solve for the base:

\(b = 2(4) - 3\\b = 5\)