Volume of a sphere was trash

Answer:

okay, so we have a wall that is 60 ft. The area of the wall because the wall is a square is just side squared. So the area of the wall is \(60^{2}\), which is 30 600 square feet. The mirror is 20 ft by 60 ft. So the area of the mirror, because its a rectangle is length times width, so that's 20 a 60 so 20 x 60 is gonna give me 1200 square feet. So if we take the area of the mirror and put that over the area, the wall we get 1200 over 30 600, which reduces to one over three. So the mirror is one third the area of the wall.

Step-by-step explanation:

The equation for the hanger is 2x + 2x + 2 = 11 and x = 9/4

Algebraic expressions are defined as mathematical expressions that are composed of variables, constants, factors, coefficient and terms.

They are also made up of arithmetic operations, such as;

From the diagram shown, we have that;

2x, 2x + 2 = 11

x + 2 + x + 2 + x as the remaining expression for the hanger

Then, this can be represented as;

2x + 2x + 2= 11

collect the like terms and add the terms

4x =11 - 2

4x = 9

Make 'x' the subject

x = 9/4

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Answer:

Step-by-step explanation:

Quadratic means squared equation so

the first one is your answer.

y= 4x²

The mean absolute deviation is $106.6.

Given the table shows the amount Bill spent on 5 days last week.

DayAmount12622313126534To find the mean of the amount he spent: The formula for calculating the mean of a given set of values is mean=∑x/n where x represents the values, n represents the number of values, and ∑x represents the sum of the values.

Mean=total sum of values/total number of values Mean=(26+23+31+26+534)/5Mean=640/5Mean=128So,

the mean of the amount he spent is $128.To find the mean absolute deviation: The mean absolute deviation (MAD) is the average distance between each data value and the mean. MAD shows how much the data set deviates from the mean. The formula for calculating the MAD is MAD=∑|xi−m|/n where xi represents the values, m represents the mean, and n represents the number of values. So, the calculation for each day is:

Day Amount Absolute deviation from mean1 26 |128-26|=102 23 |128-23|=105 31 |128-31|=974 26 |128-26|=102 534 |128-534|=406

The sum of all absolute deviations is:

10+10+97+10+406=533The mean absolute deviation (MAD) is: MAD=533/5=106.6So.

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Answer:

50.75

Step-by-step explanation:

We have:

\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)

\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)

Answer:

Step-by-step explanation:

1: Green because it has more sections than the other colors

2: 4/8

Hope this helps!

Answer:

A) green

B) 4/8

brainliest please

Step-by-step explanation:

nakita ko lang po kung ayaw nyo ed don't

There is sufficient warrant to rejection of the claim that 64% of the readers of the publisher own a personal computer at a = 0.01 level of significance.

What is the null hypothesis?

Two alternatives being the same is the null hypothesis. The underlying assumption is that the observed difference is just the result of chance. It is feasible to determine the probability that the null hypothesis is correct using statistical testing.

Here, we have

P = population proportion of readers, who own personal computers.

The claim of the publisher: 64% of their readers own a personal computer.

Since the claim indicates a specific value about P, it should be treated as the null hypothesis and thus the required null and alternative hypothesis would be -

H₀ : p = 0.64

H₁  : p ≠ 0.64

Now, at a = 0.01, it is decided to reject the null hypothesis.

Hence, there is sufficient warrant to rejection of the claim that 64% of the readers of the publisher own a personal computer at a = 0.01 level of significance.

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On solving the provided question we can say that The following is the data table of the function.

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

here,

the provided functions that can be formed are

           x            -infinity < x < -10

f(x) =    2x + 10          -10 < x < 10

           4X - 10       10 < x < infinty

The following is the data table of the function.

x              y

-20          -20

-15          -15

-10          -10

-5             0

0              10

5               20

10              30

15              50

20              70

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An example of the piecewise defined function is: \(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output.

A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or range.

Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

The following is the data table of the function.

x               y

-20          -20

-15           -15

-10           -10

-5              0

0              10

5              20

10              30

15              50

20             70

The provided functions that can be formed are

\(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)

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Answer:

= 21

Step-by-step explanation:

Now percentage of students wearing shorts = (9/21) * 100

= (3/7) * 100

= 300/7

= 42.85 percent

So a total percentage of 42.85% of the students were wearing shorts.

The domain of the relation of the graph representing a relation where x represents the independent variable and y represents the dependent variable is {−4, −2, 0, 3, 5}.

The domain of a relation is the set of all possible input values (independent variable) for which the relation is defined.

Looking at the given points, the x-coordinates are -4, -2, 0, 3, and 5. So, the possible input values are -4, -2, 0, 3, and 5.

Therefore, the domain of the relation is {−4, −2, 0, 3, 5}.

Hence, the correct option is {−4, −2, 0, 3, 5}.

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Answer:

814.795

Step-by-step explanation:

The median would be 22:

Step-by-step explanation: The median is the number that is in the middle

Simply defined, the median is the number right in the middle of a set.

But before I get down to finding the median, I will order the numbers from least to greatest:

15, 17, 19, 20, 21, 22, 23

Now, the middle number is 20. So that's the median.

As for the range, it's the difference between the largest number and the smallest one:

Range = Greatest number - Smallest number

           = 23 - 15

           = 6

In summary, the median, the number in the middle, is 20, and the range, the difference between the largest number and the smallest one, is 6.

The answer would be (3,2) because you would do (x,-y)

Answer:

c=2/15 have a great day! :D

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Subtract 5/8c from both sides.

Step 3: Add 1/2 to both sides.

Step 4: Multiply both sides by 8/(-15).

The axiom of regularity is a set theory principle which states that every non-empty set C contains an element that is disjoint from C.

The set theory concept rules that for every non-empty set C there is an element x of C such that x does not intersect C. The regularity axiom aims to establish that no non-empty set will have itself as an element.

The principle which is also called the axiom of foundation is a fundamental concept in set theory and credited to Zermelo–Fraenkel.

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The standard deviation of the sampling distribution is approximately 0.3292.

The behaviour of the sampling distribution of the mean is described by the central limit theorem, a key conclusion in statistics. It asserts that regardless of how the population distribution is shaped, if a random sample of size n is taken from a population with mean and standard deviation, the distribution of sample means will tend towards a normal distribution as n increases.

Because it enables us to utilise the normal distribution to draw conclusions about the population mean based on sample means, the central limit theorem has significant practical ramifications. Additionally, it offers a foundation for confidence interval estimation and statistical hypothesis testing.

The standard deviation is given by the formula:

SD = σ/√(n)

Now, substituting the value of σ = 40, n = 147,400 we have:

SD = σ/√(n) = 40/√(147400) ≈ 0.3292

Hence, the standard deviation of the sampling distribution is approximately 0.3292.

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The system of equations -9x+8y = 9x and 7y+8=8x is linear.

A system of equations is considered linear if each equation in the system is linear, meaning that the highest power of any variable in each equation is 1.

In this case, the first equation -9x+8y = 9x is linear because the highest power of any variable is 1 (x is raised to the first power).

Similarly, the second equation 7y+8=8x is also linear because the highest power of any variable is 1 (x is raised to the first power and y is not raised to any power).

Therefore, the system of equations is linear.

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Answer:

The original price of the shirt was Ksh 500 and it was sold for Ksh 550.

The discount is the difference between the original price and the selling price, which is Ksh 500 - Ksh 550 = Ksh -50.

To find the percentage discount, we can use the formula:

percentage discount = (discount ÷ original price) × 100%

percentage discount = (-50 ÷ 500) × 100%

percentage discount = -10%

Therefore, the percentage discount is 10%.

Nave Corporation's manufacturing cycle efficiency (MCE) for its elevators is approximately 27.27%.

To calculate the manufacturing cycle efficiency (MCE) for Nave Corporation's elevators, we need to determine the ratio of value-added time to the total lead time.

Value-added time refers to the time spent on activities that directly contribute to the production or customization of the elevators, while lead time refers to the total time from order placement to installation.

Given the breakdown of time:

12 days for manufacturing and customization

5 days for waiting or non-value-added time

The value-added time is 12 days, and the total lead time is 44 days.

To calculate MCE, we divide the value-added time by the total lead time and multiply by 100 to express it as a percentage:

MCE = (Value-added time / Total lead time) x 100

MCE = (12 / 44) x 100

MCE = 27.27%

Therefore, Nave Corporation's manufacturing cycle efficiency (MCE) for its elevators is approximately 27.27%.

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The distance between the parallel lines y = -1/3x + 3 and y = -1/3x - 7 is approximately 9.49 units.

A parallel line is a pair of lines that never cross and are always spaced at the same distance apart. The y-intercepts are different, but they have the same slope. In other terms, two lines are parallel if they have the same slope but distinct y-intercepts. Due to their role in defining and producing forms like rectangles, parallelograms, and trapezoids, parallel lines play a crucial role in geometry and trigonometry. In the actual world, parallel lines are also used in things like roads, railroad tracks, and electrical cables.

The standard equation of the line is given as:

y = mx + c

where, m is the slope.

c is the y-intercept.

Comparing the equation with the given equation we have the slope of the parallel lines as:

y = -1/3x +3 and y =-1/3x -7

slope = m = -1/3

y-intercept of 1st line = (0, 3)

y-intercept of the 2nd line = (0, -7)

The distance between two parallel lines is the perpendicular distance between them.

To calculate the perpendicular distance we find the equation of the perpendicular line.

The slope of the perpendicular line is negative reciprocal of the slope of the two given lines, which is 3.

The point-slope form is:

y - y1 = m(x - x1)

Substituting the values:

y - 3 = 3(x - 0)

y = 3x + 3

The intersection of this perpendicular line with the other line.

3x + 3 = -1/3x - 7

10/3x = -10

x = -3

Substituting x = -3 into either equation of the parallel lines gives:

y = -1/3(-3) - 7 = -6

Using the distance formula we have:

d = √((x2 - x1)² + (y2 - y1)²)

d = √((-3 - 0)² + (-6 - 3)²)

d = √(9 + 81)

d = √(90)

d ≈ 9.49

Hence, the distance between the parallel lines y = -1/3x + 3 and y = -1/3x - 7 is approximately 9.49 units.

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The number of points gained overall by Julia playing the game is 30 point

From the question, we have the following parameters that can be used in our computation:

Tax paid for a new quest = 2.5 points

Total points gained playing the game = 75 points

The above parameters can be represented as

The number of points gained overall = Total points gained playing the game/Tax paid for a new quest

Substitute the known values in the above equation, so, we have the following representation

The number of points gained overall = 75/2.5

Express as a correct fraction

So, we have the following representation

The number of points gained overall = 750/25

Evaluate the quotients

So, we have the following representation

The number of points gained overall = 30

Hence, the number of points gained overall =is30

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9514 1404 393

Answer:

  48 minutes

Step-by-step explanation:

The average speed for stage 1 is ...

  speed = distance/time = (110 mi)/(2 h) = 55 mi/h

Then the time for stage 2 is ...

  time = distance/speed = (44 mi)/(55 mi/h) = (4/5 h)(60 min/h) = 48 min

The time for stage 2 is 48 minutes.

Answer:

We know that

SpeeD = Distance/Time

Speed = 110/2

Speed = 55 mi/hr

For, 2

Speed = 44/55

Speed = 4/5

Speed = 48 min

\( \\ \)

The perimeter of the polygon is 57 meters.

A polygon is an enclosed two-dimensional shape with three or more straight sides that are connected together. It can be regular or irregular and can be made up of triangles, squares, rectangles, and other shapes. Polygons are classified by the number of sides they have, such as triangles (3 sides), quadrilaterals (4 sides), pentagons (5 sides), and hexagons (6 sides). Polygons can also be classified by their internal angles, such as acute (less than 90 degrees), right (90 degrees), obtuse (greater than 90 degrees), and reflex (greater than 180 degrees). Polygons are used in many mathematical problems and can be used to represent a variety of real-world objects, such as buildings, mountains, and stars.

The perimeter of the polygon is 57 meters.

The perimeter is calculated by adding up the lengths of each side. 7m + 16m + 9cm + 15m = 57m.

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I think the answers 3048_&8_9_)_)_

so the sand pile looks more or less like the one in the image below.

let's check its circumference first.  We know that dC/dt = 5π

\(C=2\pi r\implies \cfrac{dC}{dt}=2\pi \cfrac{dr}{dt}\implies 5\pi =2\pi \cfrac{dr}{dt}\implies \cfrac{5\pi }{2\pi }=\cfrac{dr}{dt}\implies \boxed{\cfrac{5}{2}=\cfrac{dr}{dt}}\)

hmmm when the circumference  C = 8π, what's the radius "r"?

\(8\pi =2\pi r\implies \cfrac{8\pi }{2\pi }=r\implies 4=r\)

now let's take the derivative to the volume equation, and check what dV/dt is

\(V=\cfrac{r^3}{3}\implies V=\cfrac{1}{3}r^3\implies \cfrac{dV}{dt}=\stackrel{\textit{chain rule}}{\cfrac{3}{3}r^2\cdot \cfrac{dr}{dt}}\implies \cfrac{dV}{dt}=r^2\cdot \cfrac{5}{2}\implies \cfrac{dV}{dt}=\cfrac{5r^2}{2} \\\\\\ \stackrel{\textit{when }C=8\pi \textit{ we know that }r=4}{\cfrac{dV}{dt}=\left. \cfrac{5r^2}{2}\right|_{r=4}} \implies \cfrac{dV}{dt}=\cfrac{5(4)^2}{2}\implies \cfrac{dV}{dt}=40\)

The rate of change of the volume is mathematically given as

dV/dt=40

Question Parameter(s):

The volume V of the pile is given by V = r^3/3,

at a constant rate of 5 pi feet per hour

Generally, the equation for the Circumference  is mathematically given as

\(C=2\pi r\\\\\ \frac{5}{2}=\frac{dr}{dt}}\)

Therefore

8π=2πr

r=8π/2π

r=4

In conclusion

\(V=\cfrac{r^3}{3}\)

Hence

\(\frac{dV}{dt}=\cfrac{5r^2}{2} \\\\\\ \frac{dV}{dt}=\cfrac{5(4)^2}{2} \frac{dV}{dt}\)

dV/dt=40

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Answer:

Answer:

Order from Least to Greatest

3/8 < 2/5 < 2/3 < 3/4

Step-by-step explanation:

The formula for the number of bacteria at time t is 1000 x (2^t).

The number of bacteria after one hour is 2828

The number of minutes for there to be 50,000 bacteria is 324 minutes.

The exponential function that can be used to determine the number of bacteria with the passage of time is:

initial population x (rate of increase)^t

1000 x (2^t).

Population after 1 hour : 1000 x 2^(60/40) = 2828

Time when there would be 50,000 bacteria : In(FV / PV) / r

Where:

In (50,000 / 1000)

In 50 / 1  = 3.91 hours x 60 = 324 minutes

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The required fence to be built around the perimeter of the park should be 453 m long.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°.

Here,
A City Park is in the Shape of a triangle where the sides have Lengths of 163 m, 145m, and 145m.
The perimeter of the triangle  = sum of all sides
                                                 = 163 + 145 + 145
                                                 = 453 m

Thus, the required fence to be built around the perimeter of the park should be 453 m long.

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