The circumference of a globe is 16pi inches. what is the volume of the globe? show your work. use 3.14 for pi ​

Answers

Answer 1

Answer:

v=2144.66

Step-by-step explanation:

formula: 4/2 (pi) (r)³

................

The Circumference Of A Globe Is 16pi Inches. What Is The Volume Of The Globe? Show Your Work. Use 3.14
Answer 2

Answer:

V = 2143.573333333333.... in³

Step-by-step explanation:

Formula for volume -> V = 4/3 πr³

We know the circumverence now we need to et the radius.

Divide the circumference by π, or 3.14 for an estimation. The result is the circle's diameter.

Divide the diameter by 2.

There you go, you found the circle's radius.

16pi/pi = 16/2 = 8

V=4/3πr³

V=4/3π8³ = 2143.5733333333333333333333333333333333333333333333333333333333333...


Related Questions

A tessellation could be created using parallelograms like the one shown below.
True or False?

A tessellation could be created using parallelograms like the one shown below.True or False?

Answers

Answer:

A. : True hope this helps someone

Step-by-step explanation:

A tessellation could be created using parallelograms like the one shown below is true.

What is a parallelogram?

Parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

Tessellations can be created using a variety of shapes, including parallelograms.

A tessellation is a repeating pattern of shapes that completely covers a plane without any gaps or overlaps.

In a parallelogram tessellation, the parallelograms would fit together like puzzle pieces to fill the plane.

Thus,

A tessellation could be created using parallelograms like the one shown below is true.

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Hi. I need help with these questions. (See image for question).
Answer only (e) and (f)

Hi. I need help with these questions. (See image for question).Answer only (e) and (f)

Answers

i solved the last 3 d is extra

Hi. I need help with these questions. (See image for question).Answer only (e) and (f)
Hi. I need help with these questions. (See image for question).Answer only (e) and (f)
Hi. I need help with these questions. (See image for question).Answer only (e) and (f)

If 5 pounds of beans cost $4, then how much does 50 pounds of beans cost?​

Answers

Answer:

50 pounds of beans costs $40

An object with a mass of 4.0 kg accelerates 2.0 m/s² when an unknown force is applied to it. What is the
amount of the force

Answers

Answer:

F=ma

Mass is in kg, so we have mass= 4.0kg

since we have a= 2.0 m/s² and m= 4.0kg

F=ma

F= 4.0 x 2.0

F= 8.0N

What is the equation of the line going through the points (1,1 and (4,1)?

Answers

y=x+1

first find your slope (0) then solve for b by inputting x and y values
What is the equation of the line going through the points (1,1 and (4,1)?

Answer:

y = 1

Step-by-step explanation:

Note the line passes through (1, 1 ) and (4, 1 ) both with a y- coordinate of 1

This indicate the line is horizontal and parallel to the x- axis with equation

y = c

where c is the value of the y- coordinates the line passes through, then

y = 1 ← equation of line

What is the solution of the system?

What is the solution of the system?

Answers

The picture is very blurry but the solution would be where the two points intersect or meet. Hope this helps!

I will give you 30 points

I will give you 30 points

Answers

1. Three examples of situations where consistency is important:

HealthcareFinancial transactionsSports Rules

How do these portray consistency?

Healthcare: when treating patients, healthcare providers must follow consistent procedures and protocols to ensure that every patient receives the same level of care.

Financial transaction: when making financial transactions, it is important to follow regular security rules to prevent fraud.

Support rules: Adherence to consistent rules and regulations in sports is essential to ensure fair play and the safety of all participants.

2. The number 0 is important in mathematical systems because it represents the absence of a number and serves as a placeholder. Without zero, our mathematical system would be affected in many ways. For example, writing the number 100 would be difficult without the zero. Without the invention of zero, progress in mathematics would have been delayed.

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Question 8 Find the area of the region enclosed by the curves y=2x2 and y=2x. 3 0 1 3 None of the Choices

Answers

Therefore, the area of the region enclosed by the curves y = 2x² and y = 2x is 1/3 square units.

To find the area of the region enclosed by the curves y = 2x² and y = 2x, you need to solve for their intersection points and integrate the difference between the two functions.

This can be done as follows: Setting y = 2x² equal to y = 2x, we get:2x² = 2x Dividing both sides by 2x, we get: x = 0 or x = 1

Substituting x = 0 into y = 2x², we get: y = 2(0)² = 0 Substituting x = 1 into y = 2x, we get: y = 2(1) = 2

Therefore, the intersection points of the two curves are (0,0) and (1,2). To find the area enclosed by the curves, we integrate the difference between the two functions from x = 0 to x = 1.

This can be done as follows:∫[2x - 2x²]dx from x = 0 to x = 1= [x² - (2/3)x³] from x = 0 to x = 1= [1 - (2/3)] - [0 - 0]= 1/3

Therefore, the area of the region enclosed by the curves y = 2x² and y = 2x is 1/3 square units.

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What is the value of (x)​

What is the value of (x)

Answers

Answer:

x=1

Step-by-step explanation:

anything times 1 is itself

Answer:

x=1

Step-by-step explanation:

We know that central angles are congruent, because it is given. We can say that segments AO, CO, BO, and DO are congruent because . Then by the congruency theorem, we know that triangle AOC is congruent to triangle BOD. Finally, we can conclude that chord AC is congruent to chord BD because .

Answers

Answer:

because they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

Step-by-step explanation:

Answer:

Complete the missing parts of the paragraph proof.

Proof:

We know that central angles

✔ AOC and BOD

are congruent, because it is given. We can say that segments AO, CO, BO, and DO are congruent because

✔ all radii of a circle are congruent

. Then by the

✔ SAS

congruency theorem, we know that triangle AOC is congruent to triangle BOD. Finally, we can conclude that chord AC is congruent to chord BD because

✔ CPCTC.

What type of calculation would you use (calculus or trigonometry) to measure the distance cutting diagonally across a field vs. walking around it? What is the difference between these two types of math?

Answers

Answer:

A traditional divison of mathematics is into pure mathematics, mathematics that can be directly applied to real world problems

a 1991 study of 42,000 adults indicated that 10,752 were current smokers. in 2003, the national health interview survey of 33,326 adults indicated that 7,132 (21,4%) of adults were current smokers.(a) Find a point estimate of the difference between the proportion of current smokers in 1991 and the proportion of current smokers in 2003. Use 3 decimal places.(b) Calculate a 95% confidence interval for the difference in the two proportions (use 3 decimal places)(c) A 99% confidence interval for the difference in the two proportions is (0.034,0.050). What does this mean? Complete this interpretation statement: "Since the number _____ ______ in the interval, there _____ evidence at the _____ level of a difference in the proportion of current smokers between 1991 and 2003.

Answers

(a) The point estimate of the difference between the proportion of current smokers in 1991 and 2003 is 0.106 (10.6%).

(b) To calculate the 95% confidence interval, we need to use the formula:
point estimate +/- (critical value x standard error)
The critical value for a 95% confidence interval is 1.96. The standard error can be calculated using the formula:
sqrt[(p1(1-p1)/n1) + (p2(1-p2)/n2)],
where p1 and p2 are the proportions of current smokers in 1991 and 2003 respectively, and n1 and n2 are the sample sizes.
Using the given values, we get:
p1 = 10,752/42,000 = 0.256
p2 = 7,132/33,326 = 0.214
n1 = 42,000, n2 = 33,326
standard error = sqrt[(0.256(1-0.256)/42,000) + (0.214(1-0.214)/33,326)] = 0.0084
Thus, the 95% confidence interval is:
0.106 +/- (1.96 x 0.0084) = (0.090, 0.122)
(c) A 99% confidence interval of (0.034, 0.050) means that we are 99% confident that the true difference between the proportion of current smokers in 1991 and 2003 is somewhere within this range. Complete interpretation statement: "Since the number 0 is not included in the interval, there is strong evidence at the 99% level of a difference in the proportion of current smokers between 1991 and 2003."

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-4(3-2x)+2x=2x-8 pls help me will give BRAINLIEST

Answers

Answer:

x = -1/2

Step-by-step explanation:

multiply the -4 to all in parentheses

-4(3-2x) +2x =2x -8

-12+8x +2x =2x-8

isolate x by moving whole numbers to other side of equal sign and x to the other side

8x +2x -2x = -8+12

8x = -4

/8

divide by 8 to isolate x

x= -4/8

simplify

x= -1/2

If x = ─7 and y= 3 , find i) x+y ii) xy iii) xꓥ2 + yꓥ2 WHAT IS THE ANSWER

Answers

Answer:

Step-by-step explanation:

1. X + y

Putting values of x and y

-7 + (-3)

= - 10

2. xy

Putting values of x and y

(-7)(-3)

= 21

3. x2 + y2

Putting values of x and y

= (-7)2 + (-3)2

= 49 + 9

= 58

The surface area of an entire cube is 96 cm squared. If the lenght and width of each side are equal, what is the lenght of one side of the cube?

Answers

The length οf οne side οf the cube is 4 cm.

What is a cube?

In geοmetry, a cube is a three-dimensiοnal sοlid shape that has six square faces οf equal size, and all its angles are right angles (90 degrees). A cube is a regular pοlyhedrοn, which means that all its faces are cοngruent (i.e., identical) regular pοlygοns and its edges have the same length.

The surface area οf a cube with edge length "s" is given by the fοrmula:

\(SA = 6s^{2}\)

We are given that the surface area οf the cube is \(96 cm^2\). Therefοre, we can set up the equatiοn:

\(96 = 6s^{2}\)

Dividing bοth sides by 6, we get:

\(16 = s^{2}\)

Taking the square rοοt οf bοth sides, we get:

s = 4

Therefοre, the length οf οne side οf the cube is 4 cm.

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ASAP ASAP ASAP ASAP HELP HELP HELP

ASAP ASAP ASAP ASAP HELP HELP HELP

Answers

Answer:

3.6 maybe

Step-by-step explanation:

I find how much is 30/100

Then I multiply it by 12

Answer:

40 graders

Step-by-step explanation:

30% is 6th grade

12 is 6th.

12/0.3=40.

Hope this helps plz hit the crown :D

What value of a makes x/2 + 4= 8 true?

Answers

Answer:

x = 8

Step-by-step explanation:

x/2 + 4 = 8

x/2 = 8 - 4

x/2 = 4

x = 4*2

x = 8

Probe:

8/2 + 4 = 8

4 + 4 = 8

Answer:

x = 8

Step-by-step explanation:

Subtract 4 from each side to cancel out the positive 4. It should now look like this: x/2 = 4Multiply each side by 2. It should now look like this: x = 8

Therefore, x equals 8.

The length of line segment AB = 26. Point M is the midpoint of line segment onAB What is the length of line segment AM?

The length of line segment AB = 26. Point M is the midpoint of line segment onAB What is the length of

Answers

Answer:

AM = 13 (Option B)

Explanations:

AB = 26

Note:

AM + MB = AB...............(1)

Since Point M is the midpoint of the line segment AB

MB = AM .........................(2)

Substitute equation (2) into equation (1)

AM + AM = AB

2AM = AB

AM = AB / 2

AM = 26/2

AM = 13


A rectangular field is 95 meters wide and 140 meters long. A coach
asks players to run from one corner to the opposite corner diagonally
across the field. How much shorter is the diagonal of the field than its
perimeter? Provide an answer accurate to the nearest tenth.

Answers

Answer: don’t have a calculator but if you do write this and you will get your answer 140 x 95

Step-by-step explanation:

The probability of selecting a T or a P on the second draw, given that an F was selected on the first draw is

Answers

The probability of selecting a T or a P on the second draw, given that an F was selected on the first draw is 0.39.

What is probability?

The probability of selecting a T or a P on the second draw, given that an F was selected on the first draw, can be calculated using conditional probability.

P(A|B) = P(A and B) / P(B)

P(A and B) = P(T or P on second draw and F on first draw) = P(T on second draw and F on first draw) + P(P on second draw and F on first draw)

= (3/9) x (4/10) + (2/9) x (4/10) = 14/90

To find P(B), we know that it is 0.4.

Therefore, the conditional probability of selecting a T or a P on the second draw, given that an F was selected on the first draw, is:

P(A|B) = P(A and B) / P(B) = (14/90) / 0.4 ≈ 0.39

So the probability of selecting a T or a P on the second draw, given that an F was selected on the first draw, is approximately 0.39.

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What is the product of 6 and 2 square root of 72 in simplest radical form?

Answers

Answer:

\(72\sqrt{2}\)

Step-by-step explanation:

\((6) 2\sqrt{72} \\\)

Simplify the square root of 72 by finding perfect squares

\(\sqrt{9(4)(2)}\)

The square root of 9 = 3 and the square root of 4 = 2. Bring the 2 and 3 outside the square root.

\(6(2)(2)(3)\sqrt{2}\)

Multiply

6 x 2 x 2 x 3 = 72

\(72\sqrt{2}\)

Rex has a square deck that is 9 \text{ feet}9 feet9, start text, space, f, e, e, t, end text long on each side. He decides to add triangular benches in each corner as is shown in the diagram

Answers

The answer is 63 square feet.

Given that Rex has a square deck of 9 feet length on each side. He decides to add triangular benches in each corner as shown in the diagram. We are to find the area of the deck which is not covered by the benches.

As shown in the figure, each of the four benches will make a right-angled triangle of base 3 feet and altitude 3 feet.

So, the area of each triangle will be

A₁ = 1/2 * b * h

= 1/2 * 3 * 3

= 4.5

Now, the area of the square deck is

A₂ = s²

= 9²

= 81

Since there are four triangular benches at each corner of the deck, so the area of the deck that is not covered by the benches is given by

A = A₂ - 4A₁

= 81 - 4 * 4.5

= 81 - 18

= 63

Thus, the answer is 63 square feet.

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Given question is incomplete, the complete question is below

Rex has a square deck that is 9 feet long on each side. He decides to add triangular benches in each corner as is shown in the diagram. What is the area of the deck that is not covered by benches?

Rex has a square deck that is 9 \text{ feet}9 feet9, start text, space, f, e, e, t, end text long on

the sum of two sumbers is 3 more than four times the firsst number. their difference is 10 less than twice the second number. find each of the numbers

Answers

The two numbers are 7/6 and 5 when the sum of two numbers is 3 more than four times the first number.

Let's call the two numbers x and y, where x is the first number and y is the second number.

The problem gives us two equations that relate the two numbers:

\(x + y = 3 + 4x\\y - x = 2y - 10\)

We can substitute the expression for y from equation 1 into equation 2:

\(y - x = 2(3 + 4x) - 10\)

Expanding the right side and simplifying, we get:

\(y - x = 6 + 8x - 10\\y - x = 8x - 4\)

Adding x to both sides:

\(y = 9x - 4\)

Substituting this expression for y into equation 1:

\(x + (9x - 4) = 3 + 4x\)

Expanding and simplifying the right side:

\(10x - 4 = 3 + 4x\)

Subtracting 4x from both sides:

\(6x - 4 = 3\)

Adding 4 to both sides:

\(6x = 7\)

Dividing both sides by 6:

\(x = 7/6\)

Substituting this value of x back into the expression for y:

\(y = 9x - 4 = 9 * (7/6) - 4 = 63/6 - 4 = 9 - 4 = 5\)

So the two numbers are 7/6 and 5.

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Nate has $50 to go spend at the grocery store. He feels shopping cart with items total and $46. I’ll check out he will have to pay 6% sales tax on all items in the cart. Does he have enough money to buy everything in his cart?

Answers

Nate have enough money to buy everything in his cart because his total expenses is lees than 50 dollars.

How to check if his money is enough to buy the grocery using the sales tax?

Nate has $50 to go spend at the grocery store. He fills his shopping cart with items total and $46.  He will have to pay a sales tax of 6% on al items on the cart.

Therefore, let's check if Nate have enough money to buy the groceries.

Hence,

sales tax amount = 6% of 46

sales tax amount = 6 / 100 × 46

sales tax amount = 276 / 100

sales tax amount = 2.76 dollars

Therefore,

the amount in total of the grocery = 46 + 2.76 = 48.76 dollars

Therefore, he has enough money to pay for his groceries.

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x 0 1 2 3 4 p(x) 0.05 0.25 0.35 0.25 0.10 for the probability distribution above, what is the probability of an x that is at least 2?

Answers

The probability of an x that is at least 2 is 0.70.

The probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%.

P(E) means the probability of an event to occur.

P(E) is that of at least 2 means P(E) is greater than equals to 2, so we will take value greater than and equal to 2 i.e., 2,3,4

P(E) = P (X \(\geq\) 2)

      = P(X=2) + P(X=3) + P(X=4)

      = 0.35 + 0.25 + 0.10

      = 0.70

Therefore, the required probability is 0.70.

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What is the mode of the following set of numbers?

143, 312, 41, 28, 308, 619, 321, 352, 465

288
279.3
none
312

Answers

Mode means the number that is most frequent, 288 doesn’t appear either does 279.3 but 312 appears once therefore 312 is the answer.

the product of a non – zero rational and an irrational number is
A) Always irrational
B) Always rational
C) Rational or irrational
D) One

Answers

The correct answer is C." is either rational or irrational" because it cannot be expressed as the ratio of two integers.

The product of a non-zero rational number and a non-zero irrational number is either rational or irrational, depending on the specific numbers involved.

let's assume that the non-zero rational number is a/b and the irrational number is c. If their product is rational, we can write

a/b×c=d/e

where d and e are integers with no common divisors. This means:

c = (d/b) × (e/a)

Both d/b and e/a are rational numbers, so their product is also a rational number. Therefore, expressing the irrational number c as the product of two rational numbers is a contradiction. 

For example, consider the rational number 2/3 and the irrational number √2.

Multiplying them gives:

(2/3) * √2 = (2√2)/3

It is an irrational number because it cannot be expressed as the ratio of two integers. Therefore answer (C) is either rational or irrational.

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Write the following comparison as a ratio reduced to lowest terms. 86 minutes to 5 hours

Answers

Given the comparison:

86 minutes to 5 hours

To write as a ratio, first convert the hours to minutes.

We have:

1 hour = 60 minutes

5 hours = 5 x 60 = 300 minutes

Thus, as a ratio, we have:

86 : 300

Let's reduce to lowest terms:

To reduce to lowest terms, divide both values by the Greatest Common Factor (GCF).

GCF of 86 and 300 = 2

\(\frac{86\div2}{300\div2}=\frac{43}{150}\)

Therefore, the ratio reduced to its lowest term is = 43 : 150

ANSWER:

43 : 150

1 question only (find the area)

1 question only (find the area)

Answers

Answer:

I think it's 90?

Step-by-step explanation:

Find the Laplace transform of the following functions: (a) t cos tu (t)

Answers

The Laplace transform of the function \(\(f(t) = t \cos(tu)\) ,\(F(s) = -\frac{1}{s(s^2 + u^2)}\).\)

The Laplace transform of a function \(f(t)\) is given by the formula:

\(\[F(s) = \mathcal{L}\{f(t)\} = \int_0^\infty e^{-st} f(t) dt\]\)

Let's proceed with the calculation:

\(\[F(s) = \int_0^\infty e^{-st} (t \cos(tu)) dt\]\)

We can split the integral into two parts using the linearity property of the Laplace transform:

\(\[F(s) = \int_0^\infty e^{-st} t \cos(tu) dt = \int_0^\infty t \cos(tu) e^{-st} dt\]\)

Applying integration by parts:

\(\[F(s) = \left[t \left(\frac{1}{u} \sin(tu) e^{-st}\right)\right]_0^\infty - \int_0^\infty \left(\frac{1}{u} \sin(tu) e^{-st}\right) dt\]\)

The first term evaluates to 0 when evaluated at both limits:

\(\[\left[t \left(\frac{1}{u} \sin(tu) e^{-st}\right)\right]_0^\infty = 0 - 0 = 0\]\)

So, we are left with:

\(\[F(s) = -\int_0^\infty \left(\frac{1}{u} \sin(tu) e^{-st}\right) dt\]\)

To solve the remaining integral, we can use the Laplace transform of the sine function and the convolution property of Laplace transforms.

The Laplace transform of the sine function is given by:

\(\[\mathcal{L}\{\sin(at)\} = \frac{a}{s^2 + a^2}\]\)

In our case, a = u and s is the complex parameter.

Using the convolution property, we can write the remaining integral as:

\(\[F(s) = -\frac{1}{u} \mathcal{L}\{\sin(tu)\} \cdot \mathcal{L}\{e^{-st}\}\]\)

Plugging in the Laplace transform of the sine function and the Laplace transform of the exponential function, we get:

\(\[F(s) = -\frac{1}{u} \cdot \frac{u}{s^2 + u^2} \cdot \frac{1}{s}\]\)

Therefore, the Laplace transform of the function \(\(f(t) = t \cos(tu)\) ,\(F(s) = -\frac{1}{s(s^2 + u^2)}\).\)

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