help me please click image to see problem

The ratio of the volume of sphere B to the volume of sphere A is (C) 125 if the radius of sphere B is five times that of sphere A.

A sphere is a geometrical object that resembles a two-dimensional circle in three dimensions.

In three-dimensional space, a sphere is a collection of points that are all located at the same distance from a single point.

The radius of the sphere is denoted by the letter r, and the specified point represents its center.

Balls, bubbles, planets, and water drops are a few easy examples.

Every point on a sphere's surface is equally spaced from the center, and the object has no edges or vertices.

So, let's take the 2 radii:

x where x is 5.

5x where 5x is 25.

Now, calculate the volume of the sphere in both cases.

Sphere volume formula:

V = 4/3πr²

Where r = 5.

V = 4/3πr²

V = 523.59878

Round off: 524 units²

Where r = 25.

V = 4/3πr²

V = 65449.84695

Rounding off: 65450 units²

Now, divide to find the ratio:

65450/524 = 124.90

Rounding off: 125

Therefore, the ratio of the volume of sphere B to the volume of sphere A is (C) 125 if the radius of sphere B is five times that of sphere A.

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Complete question:

If the radius of sphere B is five times the radius of sphere A, then the ratio of the volume of sphere B to the volume of sphere A is ____.

Select one:

A. 0.008

B. 25

C. 125

D. 5

E. 0.2

In the analyze stage of the data life cycle, the data analyst will use the spreadsheet to aggregate the data and use the formulas to perform the calculations

The data life cycle is defined as the time period that that data exist in you system. Usually the data management experts finds the six or more stages in the data life cycle

The data analyst is the person who use the interpreted data and analyze the data in order to solve the problems

The analyze stage is the one of the main stages of the data life cycle. In the stage data analyst will use the spreadsheet to aggregate the data in the system and use the formulas to perform the calculations in the system

Therefore, the data analyst will use the spreadsheet to aggregate the data and use the formulas to perform the calculations

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Given:

The exponential function is:

\(R(x)=(5.3)^x\)

To find:

The domain of the given exponential function.

Solution:

We know that the general form of an exponential function is:

\(f(x)=ab^x\)

Where, a is the initial value and b is growth/decay factor.

This function is defined for all real values of x, so the domain of these type of functions is the set of all real number.

We have,

\(R(x)=(5.3)^x\)

Here, a is 1 and b is 5.3. This function is defined for all real values of x

Therefore, the domain of these type of functions is the set of all real number or it can be written as \((-\infty,\infty)\).

The probabilities involving the defects for this problem are given as follows:

a. Both types: 0.02 = 2%.

b. Bushing defect: 0.1 = 10%.

c. Exactly one type of defect: 0.14.

d. Neither type of defect: 0.84 = 84%.

The events in this problem are given as follows:

16% have at least one of the two types of defects, hence the probability of neither type of defect is given as follows:

1 - 0.16 = 0.84 = 84%.

The probability of one type of defect is given as follows:

0.08 + 0.06 = 0.14.

The probability for both types of defect is calculated as follows:

P(A and B) = P(A) + P(B) - P(A or B).

In which:

Hence:

P(A and B) = 0.08 + P(A and B) + 0.06 + P(A and B) - P(A or B)

-P(A and B) = 0.14 - 0.16

P(A and B) = 0.02.

Hence the probability of a bushing defect is calculated as follows:

P(B) = 0.08 + 0.02 = 0.1 = 10%.

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Answer:

68

Step-by-step explanation:

Answer: 5^2 + 4^3 - 21= 68

The Upper Control Limit (UCL) and Lower Control Limit (LCL) are calculated for different data sets, as specified in the given values.

The UCL and LCL are statistical control limits used in process control to determine if a process is in a stable and predictable state. These limits define the range within which data points should fall if the process is under control.

In each case provided (A, B, C, D, E), the UCL and LCL values are given. These values represent the calculated control limits for the respective data sets.

To calculate the control limits, a specific statistical method such as the ± 3σ (sigma) method may have been used. This method sets the UCL and LCL at three standard deviations above and below the mean.

The UCL represents the upper threshold or upper boundary, while the LCL represents the lower threshold or lower boundary. These limits help identify any potential deviations or out-of-control situations in the data.

By applying the given values, the corresponding UCL and LCL for each data set can be calculated. These limits are important for quality control and process monitoring, ensuring that the data falls within acceptable ranges.

To calculate the UCL and LCL using ±3σ limits, we use the following formulas:

UCL = Mean + 3σ
LCL = Mean - 3σ

Here, σ represents the standard deviation of the data set. The ±3σ limits provide a range that encompasses most of the data points in a normal distribution, with approximately 99.7% of the data falling within this range.
A) For data set A:
UCL = 7.437
LCL = -2.237

B) For data set B:
UCL = 7.82
LCL = 0

C) For data set C:
UCL = 8.382
LCL = 0

D) For data set D:
UCL = 7.82
LCL = -2.22

E) For data set E:
UCL = 9.112
LCL = 0

The ±3σ limits are derived from the standard deviation (σ) of the data set. Unfortunately, the standard deviation is not provided in the given information. If you have the standard deviation available, we can proceed to calculate the UCL and LCL using the formulas UCL = Mean + 3σ and LCL = Mean - 3σ.

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Question - What are the upper control limit (UCL) and lower control limit (LCL) using a ±3σ limit for the given data sets?

A) For data set A, the UCL is 7.437 and the LCL is -2.237.
B) For data set B, the UCL is 7.82 and the LCL is 0.
C) For data set C, the UCL is 8.382 and the LCL is 0.
D) For data set D, the UCL is 7.82 and the LCL is -2.22.
E) For data set E, the UCL is 9.112 and the LCL is 0.

Answer:

you dont, just make a vertical line where you plotted your point

Step-by-step explanation:

I am going to explain this as best as i can because i dont really remember how to do this

My teacher taught it to me as:

y is fly

so when you get an equation like this but with a y you will plot the dot on the y axis and make a horizontal line

x is dive

when you get an equation like this one you will plot the dot (exactly how you did it) and make a vertical line on that dot

i dont really know how to explain so sorry if you dont understand, hope it helps

Answer:

to gain what result

Step-by-step explanation:

if u can please the full question

Answer:

c/sin(60°) = 14/sin(25°)

c = 14sin(60°)/sin(25°) = 28.7

Answer:

its b

Step-by-step explanation:

got it right on edge

The volume of the metal in the cylinderical pipe given the dimensions of the larger and smaller cylinders is 271.30 mm³.

A cylinder is a three-dimensional object. It is a prism with a circular base.

Volume of a cylinder = nr^2h

Where:

The volume of the metal in the cylinderical pipe = 3.14 x 10 x [(8.4/2)² - 6/2)²] = 271.30 mm³

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Integral of root (25-4x^2) dx  is calculated to be -2x sqrt(25-4x^2) + 25x

Using Theorem 8.2, we can calculate the integral of root (25-4x^2) dx.

Identify the parts of Theorem 8.2:
The integral of the root of a polynomial is equal to half of the coefficient of the second-highest degree term multiplied by the root of the same degree plus the integral of the reduced polynomial.

Identify the coefficient of the second-highest degree term, which is -4.

The root of the same degree is 2x.

Calculate the integral of the reduced polynomial, which is 25x.

Put the parts together to get the answer:

-2x sqrt(25-4x^2) + 25x

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1. The metric unit to measure the radius of a tennis ball would be centimeters (cm).

4. The metric unit to measure the mass of a beach ball would be kilograms (kg).

2. The metric unit to measure the length of a notebook would be centimeters (cm).

3. The metric unit to measure the mass of a textbook would be kilograms (kg).

5. The metric unit to measure liquid in a cup would be milliliters (mL).

6. The metric unit to measure water in a bathtub would be liters (L).

7. 120 in. : ? ft = 10 ft

10. 210 mm =  cm = 21 cm

13. 90 in. =  yd = 2.5 yd

16. 0.62 km = m = 620 m

8. 18 ft =  yd = 6 yd

11. 180 mm =  m = 0.18 m

14. 5280 yd = mi = 3 mi

17. 370 mL =  L = 0.37 L

19. 32 fl oz = c = 7.57 c

22. 48 c =  gal = 12 gal

25. 13 lb =  oz = 208 oz

20. 5 qt =  c = 20 c

23. 4 gal =  qt = 16 qt

26. 130 g =  kg = 0.13 kg

9. 10 km =  m = 10,000 m

12. 3100 m =  km = 3.1 km

15. 8 yd =  ft = 24 ft

18. 12 L = mL = 12,000 mL

21. 10 pt =  qt = 0.625 qt

24. 36 mg =  g = 0.036 g

27. 9.05 kg =  g = 9,050 g

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State which metric unit you would probably use to measure each item.

1. radius of a tennis ball

4. mass of a beach ball

2. length of a notebook

3. mass of a textbook

5. liquid in a cup

6. water in a bathtub

Complete each sentence.

7. 120 in. : ? ft =

10. 210 mm =. ? cm

13. 90 in. =?yd

16. 0.62 km = ? m

8. 18 ft = ? yd

11. 180 mm = ? m

14. 5280 yd = ? mi

17. 370 mL = ? L

19. 32 fl oz = ? c ==

22. 48 c=? gal

25. 13 lb = ? oz

20. 5 qt = ? c

23. 4 gal?qt

26. 130 g = ? kg

9. 10 km ? m =

12. 3100 m = ? km

15. 8 yd? ft

18. 12 L= ? mL

21. 10 pt=?qt

24. 36 mg = ? g

27. 9.05 kg = ?_g

Answer:

53,412 and 66,894

Step-by-step explanation:

In this question we have to assume the things

Let us assume

Bill randall be X

So, the Corrine Brown is X + 13,482  as the corrine brown received 13,482 more votes than the Bill Randall

And, the total number of votes is 120,306

Now the equation is

X + X + 13,482 = 120,306

2X + 13,482 = 120,306

2X = 106824

X = 53,412 i.e Bill randall

And, the corrine brown is

= 13,482 + 53,412

= 66,894

The value of the number  "8 to the power of minus 3 over 4" is found as  -6561/16777216.

For the given number,

8 to the power of minus 3 over 4 can be written as;

= (-3/8)⁸

Expand the number to the 8th power.

=  (-3/8)×(-3/8)× (-3/8)× (-3/8)× (-3/8)× (-3/8)× (-3/8)× (-3/8)

= -6561/16777216

Thus, the value of the number  "8 to the power of minus 3 over 4" is found as  -6561/16777216.

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Answer:

4\(x^{2}\)-16x+8

Step-by-step explanation:

4(x - 2)(x - 2) - 8 = 4(\(x^{2}\) - 4x + 4) - 8 = 4\(x^{2}\) - 16x + 16 - 8 = 4\(x^{2}\) - 16x + 8.

Answer:

\(f(x) = 4x^2 -16x + 16\)

Step-by-step explanation:

f(x)=4(x-2)² Simplify.

f(x) = 4x^2 - 16x + 16

Form f(x)=ax²+bx+c.

f(x) = 4x^2 - 16x + 16

The correct statement regarding the correlation coefficient (0.77) between class absences and the number of problems missed on an exam is that there is a strong positive correlation between these two variables.

A correlation coefficient ranges from -1 to 1, where values closer to -1 indicate a strong negative correlation, values closer to 1 indicate a strong positive correlation, and a value of 0 indicates no correlation. In this case, the correlation coefficient is 0.77, which is significantly close to 1.

Therefore, we can conclude that there is a strong positive correlation between class absences and the number of problems missed on an exam. This means that as the number of class absences increases, the number of problems missed on an exam also tends to increase.

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The null hypothesis is found as: H0: μ = 5.0

The  alternative hypothesis is found as: Ha: μ ≠ 5.0

The null hypothesis, denoted as H0, states that there is no significant difference between the mean GPA of students in the university and the reported value of 5.0 (out of 7.0).

In symbols, the null hypothesis can be represented as:
H0: μ = 5.0

The alternative hypothesis, denoted as Ha, states that there is a significant difference between the mean GPA of students in the university and the reported value of 5.0 (out of 7.0).

In words, the alternative hypothesis can be stated as:
Ha: μ ≠ 5.0

Where μ represents the population mean GPA. The alternative hypothesis indicates that there is a difference, either higher or lower, between the mean GPA of students in the university and the reported value.

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The value of (1+tan2A)(1-sec A)(1+sec A) is 1.

We can simplify the given expression using the trigonometric identities:

tan2A = 2tanA/(1-tan²A) and sec A = 1/cos A.

To simplify the given expression (1+tan²A)(1-secA)(1+secA), we can start by using trigonometric identities to express the terms in the expression in terms of a single trigonometric function.

Substituting these values, we get:

(1+tan2A)(1-sec A)(1+sec A)

= [1+2tanA/(1-tan²A)][1-1/cos A][1+1/cos A]

= [1-tan²A+2tanA][cos A-1/cos²A]

= [sec²A+2tanA][cos²A-1/cos²A]

= [sec²A+2tanA][sin²A/cos²A]

= [1/cos²A+2sinA/cosA][sin²A/cos²A]

= sin²A/cos²A

= 1

Therefore, the value of (1+tan2A)(1-sec A)(1+sec A) is 1.

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Answer:4✓2

Step-by-step explanation:

Approximately 9.63% of the energy consumed by the person would be derived from protein.

To calculate the percentage of energy derived from protein, we need to first convert the amount of protein consumed from grams to calories. Protein provides approximately 4 calories per gram. Therefore, 65 grams of protein would provide:

65 grams * 4 calories/gram = 260 calories

This gives us 260 calories from protein.

To find the percentage of energy derived from protein, we can divide the calories from protein by the total calories consumed and multiply by 100:

260 calories / 2700 calories * 100% ≈ 9.63%

Therefore, approximately 9.63% of the energy consumed by the person would be derived from protein.

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Answer:

Step-by-step explanation:

Answer:

\(\frac{1}{x^2}\)

Step-by-step explanation:

\(x^{-2}\)

\(=\frac{1}{x*x}\)

\(=\frac{1}{x^2}\)

Therefore, \(\frac{1}{x^2}\) is the answer to this question.

Answer:

A.

Step-by-step explanation:

?

Answer:

I actual foot represents 0.01093 foot on paper

Step-by-step explanation:

Given that :

Actual side length of snack stand = 60 feets

Length of side on map = 20cm

Scaie :

60 feet = 20cm

1 foot = (20/60) cm

1 foot = 0.333 cm

1cm = 0.0328084 foot

0.333cm = (0.33 * 0.0328084) = 0.01093 feets

Scale :

I actual foot represents 0.01093 foot on paper

1. C. Gravity is a force that acts as an inversely proportional square law with respect to distance.

2. B. Type Ia supernovae

3. D. Downwards; towards the center of the Sun

The interpretation of the equations and the correct options for the given questions are as follows:

Question 1:

The equation interpretation is related to gravity. The equation states a relationship between gravity and distance. The correct option is:

C. Gravity is a force that acts as an inversely proportional square law with respect to distance.

Question 2:

To test how the constant G (gravitational constant) has changed over the evolution of the Universe, certain phenomena or objects are used. The correct option is:

B. Type Ia supernovae

Question 3:

Based on the excerpt, the direction of gravity from the Sun is described. The correct option is:

D. Downwards; towards the center of the Sun

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Answer:

1208.9

Step-by-step explanation:

To figure out the answer we have to separate it two parts

So the surface area of the piñata is

=The surface area of first cone + the area of the second second cone

=π×r×(r+s)+π×r×(r+s)

=3.14×7×(7+24)+3.14×7×(7+17)

=3.14×7×31+3.14×7×24

=681.38+527.52

=1208.9

Note:I am not sure so if you have any doubts. You can go with others

\(g( \sqrt{55} ) = ( \sqrt{55} ) {}^{2} + 11 = 55 + 11 = 66\)

\(f(g(55)) = f(66) = \sqrt{66 - 2} = \sqrt{64} = 8\)

The value of the function f(g(√55)) is 3√7.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).

We have the function:

f(x) = √ (x - 2)

and, g(x) = x² + 11.

As, g(√55)

= (√55)² + 11

= 55 + 11

= 66

So, f(g(√55))

= √ (65 - 2)

= √63

= 3√7

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Answer:

ADB=50°

Step-by-step explanation:

Angles subtended by the same segment are equal

Therefore,the angle ∠\(ADB=40\) degree.

What are the angles?

An angle is a form of geometrical shape, that is constructed by joining two rays to each other at their end-points.

Here given that ∠\(ACB=50\) degree and we know alternates angles are equal so ∠\(CAD=50\) degree.

And \(AD\) is parallel to \(BC\).

Therefore, the diagonals of a rhombus are at right angled.

So, ∠\(AOD=90\) degree

Now, In Δ\(AOD\),

∠\(ADO+\)∠\(DAO+\)∠\(AOD=180\) degree

∠\(ADO+50+90=180\)

∠\(ADO=+140=180\)

∠\(ADO=180-140\)

∠\(ADO=40\) degree

or

∠\(ADB=40\) degree.

Hence, the angle ∠\(ADB=40\) degree.

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Answer:

6.32

Step-by-step explanation:

The number of dimes that Andrew had in the Pennies, dimes, and quarters worth $5.34 are 18.

Let the number of dimes be x. The amount of pennies would consequently double because there are twice as many pennies as there are dime. Let the number of quarters be y. We can set up two equations based on the given information,

0.10x + 0.01(2x) + 0.25y = 5.34

x + 2x + y = 39 (the total number of coins is 39)

Simplifying the first equation, we get,

0.10x + 0.02x + 0.25y = 5.34

0.12x + 0.25y = 5.34

Substituting x + 2x + y = 39, we get,

3x + y = 39

We can solve these two equations simultaneously to find the values of x and y,

0.12x + 0.25y = 5.34

3x + y = 39

Multiplying the second equation by 0.25, we get,

0.75x + 0.25y = 9.75

Subtracting this equation from the first equation, we get,

0.12x - 0.75x = 5.34 - 9.75

-0.63x = -4.41

x = 7

Substituting x = 7 in the equation 3x + y = 39, we get,

3(7) + y = 39

y = 18

Therefore, Andrew has 18 quarters.

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