Can anyone explain to me how to solve this for h? I was given the volume and radius and I still got it wrong. My incorrect answer is in red, and the coreect one was filled in, but I still don't understand how to solve it for h.


What is the 8[tex]\pi[/tex]mean? does it mean 8 times pi?

Answer:

x = 3 ; y = 2

Step-by-step explanation

3x - y = 7

= 3x - y - 7 = 0

= 3x - 7 = y — (equation i)

Substitute (equation i) into the second equation:

3x + (3x - 7) = 11

Expand the brackets by applying the Distributive Law and bring all the like terms together:

3x + 3x - 7 = 11

= 6x - 7 = 11

= 6x = 11 + 7

= 6x = 18

= x = [tex]\frac{18}{6}[/tex]

= x = 3

Substitute the calculated value of x into (equation i) to determine the value of y:

3 x - 7 = y

= 3(3) - 7 = y

= 9 - 7 = y

= y = 2

Find out the perimeter of an Ellipse (oval,egg) we can use the by using the formula, perimeter = π × (a + b)[1 + (3 × h/(10 + √(4 - 3h)))]

The length of an ellipse's boundary is its perimeter. It is sometimes referred to as the ellipse's circumference (recall that perimeter is also known as the circumference for the curved shapes).

The length of an ellipse's boundary is its perimeter. It is sometimes referred to as the ellipse's circumference (recall that perimeter is also known as the circumference for the curved shapes). The orbits of the planets in our solar system, as well as 2D illustrations of objects like eggs and watermelons, are some instances of ellipses in nature. The collection of all points whose distance from two fixed points (referred to as foci) is always constant is known mathematically as an ellipse.

The circumference of the ellipse can be calculated using one of three approximate formulas. When the ellipse is nearly circular, or when the values of a and b are roughly equal, the first one is employed. When one of the values of "a" and "b" is noticeably larger than the other value, the second (or third) formulas are employed.

We can use either formula 2 or 3 to determine the perimeter when the values of "a" and "b" are not exactly identical. Formula 3 provides a value that is smaller than the actual value, but formula 2 provides a bigger value. By averaging the results from formulas 2 and 3, we can therefore reach a result that is reasonably close.

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The two sides are x and 2x.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC.

Given here: In a triangle ABC,point D divides side DC in the ratio AD:DC is 1:2

Thus the two sides are x and 2x respectively.

and x+2x=DC

Hence, The two sides are x and 2x.

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The values of (f+g)(0) , (f-g)(0) , (fg)(0) are -5 , 7,-6 respectively for the given functions f(x) = 3x^2 - 4x + 1 and g(x) = x-6

What is function ?

Function can be defined in which it relates an input the output.

Given functions ,

f(x) = 3x^2 - 4x + 1 and g(x) = x-6

(f+g) (x)  =  3x^2 - 4x + 1 + x-6

(f+g) (x) = 3x^2 - 3x - 5

(f+g)(0) = 3(0) - 3(0) - 5

(f+g)(0) = -5

(f-g) x  = 3x^2 - 4x + 1 -( x-6)

(f-g)x = 3x^2 - 5x +7

(f-g)(0) = 3(0)-5(0) + 7

(f-g) (0) = 7

(fg)(x) = (3x^2 - 4x + 1) *( x-6)

(fg) (x) = 3x^3 - 4x^2 + x -18x^2+24x -6

(fg) (x) = 3x^3 - 22x^2 + 25x - 6

(fg) (0) = 3(0) - 22(0) + 25(0) - 6

(fg) (0) = -6

Hence, The values of (f+g)(0) , (f-g)(0) , (fg)(0) are -5 , 7,-6 respectively for the given functions f(x) = 3x^2 - 4x + 1 and g(x) = x-6

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Answer: (−∞,8)∪(8,∞),{y|y≠8}

Step-by-step explanation:

Answer: The range of a function is the set of all possible output values (y-values) for a given function.

For the function y = 3/x+8, we can find the range by analyzing the domain of the function. The domain of a function is the set of all input values (x-values) for which the function produces a valid output value.

The range of this function is all real numbers, since the denominator x+8 can't be equal to zero.

However, we can't express the range of the function as a specific set of numbers because the range is defined as all real numbers. The answer would be R

It's worth noting that if we change the function for example to y = 3/x-8, the domain would be x≠8 and the range would be y<-8/3

Step-by-step explanation:

Answer:

Water is the only molecule because of which life is possible on Earth. In outer space, the conditions are so hostile that Water cannot be found in its natural form- liquid. This liquid Water has been giving us sustenance throughout billions of years.

Step-by-step explanation:

mark me brainleit plss

Answer: 1/16

Step-by-step explanation:

4^4*4^(-7)*4

= 4^(-3)*4

=4^(-2)

= 1/16

The value of x in the given linear equation 4x - 3 - 5x = 24 is:

x = 27

Here we want to find the value of x in the equation:

4x - 3 - 5x = 24

Notice that this is a linear equation that depends on x.

To find the solution, we need to isolate x in one of the sides of the linear equation.

First, we need to group like terms so we get:

4x - 3 - 5x = 24

(4x - 5x) - 3 = 24

-x - 3  = 24

Now we can move the "-3" to the other side to get:

-x = 24 + 3

-x = 27

And now change the sign:

x = -27

That is the value of x in that equation.

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This unit has provided me with a greater understanding of the different aspects of communication.

A unit is a standard measurement of a particular quantity. It is used to quantify or compare the amount or size of something. For example, the international system of units (SI) is a standard system of units that uses meters, kilograms, and seconds as its base units of measurement. Other examples of units include miles, pounds, inches, and Celsius.

It has enabled me to recognize the importance of active listening, being mindful of non-verbal cues and tailoring messages to the audience. I have gained insight into the various methods of communication, both verbal and non-verbal, and how to effectively use them for successful communication. I have also learned about the importance of setting clear expectations and maintaining a positive attitude to help ensure successful interactions.

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Answer:

The sample size needed to guarantee a margin of error of at most 0.08 in a 95 percent confidence interval for an unknown population proportion p can be found using the formula:

n = (p(1-p)) / E^2

Where n is the sample size, p is the sample proportion, E is the margin of error, and Z is the Z-score for the desired level of confidence. Since we are using a 95 percent confidence level, the Z-score is approximately 1.96.

To find the smallest sample size that will guarantee a margin of error of at most 0.08, we need to plug in the values for E and Z into the formula and solve for n.

n = (p(1-p)) / (0.08)^2

Since we don't know the population proportion p, we can use a rough estimate of 0.5 to get a rough estimate of the sample size. This is known as the conservative sample size, because it is based on the worst-case scenario (i.e. the proportion is exactly 0.5).

n = (0.5 * (1 - 0.5)) / (0.08)^2

n = (0.25) / (0.0064)

n = 3906.25

So, the smallest sample size that will guarantee a margin of error of at most 0.08 is 3906.25.

It should be rounded up to 3907.

Step-by-step explanation:

Answer:

Truth is being honest and not lie and get them upset.

Step-by-step explanation:

On solving the provided question, we can say that we have the equations as  y = 3x - 7 where x > 0. so let us assume x = 4 = > y = 5

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

here,

we have the equations as

y = 3x - 7 where x > 0

so let us assume x = 4

y = 5

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Answer: $134.40

Step-by-step explanation:

Using probability, Laila's expected winnings are $126.67.

The study of probability mathematics deals with the topic of a random event. A coin, for instance, could land on its Head or Tail if it were thrown into the air.

Finding the likelihood for each and every conceivable value, and then adding them all together, yields the expected value.

We must determine the likelihood and value of each conceivable outcome.

Laila chances of selecting three consecutive red markers are: (6/10)(5/9)(4/8) = 1/6

Laila's initial marker's likelihood of being red but not picking three straight red markers is 6/10 - 1/6 = 13/30.

Any other event has a probability of 1 - 1/6 - 13/30 = 2/5.

We can now write our expected value expression:

(1/6 × 500)+(13/30 × $100)+(2/5 × 0)

Laila's expected winnings are $126.67.

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The function f(x) = x² - 2x - 3 / x² + 3x + 2 have holes at coordinate (-1, -4)

Function holes are areas of a function that are not defined. They can be caused by a lack of data, a lack of understanding of the problem, or a lack of knowledge of the domain. Function holes can lead to errors in the output of a function, as the function will not be able to produce a result for the undefined area. A hole is a location on the graph where the function's value is not known. When a rational function is simplified, its numerator and denominator will cancel if they have a common factor. The cancelled value creates a hole in the graph.

In the given question, we need to plot the function on a graph to determine it's holes.

f(x) = x² - 2x - 3 / x² + 3x + 2

Using a graphing calculator to plot this;

The holes in this function is located at a coordinate (-1, -4)

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Answer:

95

Step-by-step explanation:

Answer:

A. Circle Graph, also known as a pie chart, is the most appropriate to illustrate the results of Justina's survey.

Step-by-step explanation:

A circle graph, also known as a pie chart, is the most appropriate to illustrate the results of Justina's survey.

A circle graph is used to display the proportion of different categories of data. In the case of Justina's survey, the categories would be the different sports that the students play, and the proportion of students who play each sport would be represented by the size of the corresponding wedge in the circle graph. The circle graph allows for a clear and easy-to-understand comparison of the relative popularity of different sports among the surveyed students.

A Venn diagram is used to show the relationships between different sets of data. It's not appropriate in this case as the students are not being asked to pick two or more sports they play, but the number of sports they play.

A stem-and-leaf plot is used to display the distribution of numerical data, it's not appropriate for this case because it does not show the proportion of students playing each sport.

A double line graph is used to compare two sets of data over time. It's not appropriate for this case because it doesn't show the proportion of students playing each sport.

Aaliyah need to read for 8.75 hours with reading speed of 40 pages/hour in order to fulfill her promise of reading 50 more pages than Yohance.

What is reading speed?

Reading speed is the rate at which a person reads written text (printed or electronic) in a specific unit of time. Reading speed is generally calculated by the number of words read per minute.

Reading speed is determined by a number of factors, including a reader's purpose and level of expertise as well as the relative difficulty of the text.

Now,

Reading speed of both=40 pages/hour

yohance reads for 7.5 hours and reads total pages=40*7.5=300

Now, to read 350 pages Aaliyah will read for time=350/40=8.75 hours

Aaliyah need to read for =8.75 hours in order to fulfill her promise of reading 50 more pages than Yohance.

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Answer:

By the slope intercept equation y=mx+ c in which m is the slope.

Change the given equation into slope intercept form, y=-x+7. The coefficient of x will be the slope value which is -1.

Answer:

<PQS = 47

<SQR = 43

Step-by-step explanation:

A right angle equals 90°.

7x + 145 + 6x + 127 = 90  Combine like terms

13x + 272 = 90  Subtract 272 from both sides

13x = 90 - 272

13x = -182  Divide both sides by 13

x = -14

Substitute -14 for x

<PQS

7x + 145

7(-14) + 145

-98 + 145

47

<SQR

6x + 127

6(-14) + 127

43

43 + 47 = 90

Answer:

Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points in simplest radical form. (-4,3) and (-8, -1) *Click twice to draw a line. Click a segment to erase it." 30 4 -10 - -6-5-43 -8 This problem has been solved!

Step-by-step explanation:

Answer: An isosceles trapezoid is a trapezoid with two sides of equal length, and those are called legs.

Using the given information that the shorter base is 21, the longer base is 47 and the legs are 50, we can use the Law of Cosines to find the angle between the legs and the longer base.

The Law of Cosines states that for any triangle with sides of length a, b, and c and the angle opposite side c is denoted as C:

c^2 = a^2 + b^2 - 2ab * cos(C)

We will use the legs (a = b = 50) and the longer base (c = 47) as our sides and call the angle we are looking for angle x:

50^2 = 50^2 + 47^2 - 2(50)(47) * cos(x)

Solving for cos(x) will give us the angle x in terms of a cosine. To get the angle x in degrees, we will use the inverse cosine function, which gives the angle in degrees whose cosine is the input value.

cos(x) = (50^2 + 47^2 - 50^2) / (2(50)(47)) = 47/100

x = acos(47/100)

x = approx 126.6

So, the lower base angle in this isosceles trapezoid is approximately 126.6 degrees.

Step-by-step explanation:

Answer:ok

Step-by-step explanation:kk

The measure of angle RSN is obtained as follows:

m < RSN = 31º.

First we must consider that the sum of the measures of the internal angles of a triangle is of 180º.

The internal angles of triangle RST, along with their measures, are given as follows:

The sum of these three measures is of 180º, hence the value of x is obtained as follows:

3x + 17 + 8x - 32 + 2x = 180

13x = 195

x = 195/13

x = 15.

Then the measure of angle RST is given as follows:

m < RST = 3(15) + 17

m < RST = 62º.

Angle RSN is a bisection of the angle RST, meaning that it has the measure half that of RST, hence:

m < RSN = 0.5 m < RST

m < RSN = 0.5 x 62

m < RSN = 31º.

The diagram is given by the image presented at the end of the answer.

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Solution to the given system of equations is (6, -9).

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The given system of equations are y=x-15 -----(I) and y=-2x+3 -----(II).

Substitute x=y+15 in equation (II), we get

y=-2(y+15)+3

y=-2y-30+3

3y=-27

y=-9

Substitute y=-9 in equation (II), we get

-9=-2x+3

-12=-2x

x=6

So, solution is (6, -9)

Therefore, solution to the given system of equations is (6, -9).

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Using the scale, 1 inch is equal to 35 miles, the distance between Danton and Crowley is  19.2 inches.

According to the map given , considering that the distance in miles between Danton and Crowley is 672 miles, to find the distance in inches we use the scale given by the map where 1 in.:35 mi.

To solve for distance in inches;

35 miles = 1 inch

672 miles = 672 / 35 x 1 = 19 .2 inches.

The distance between Danton and Crowley at 1 in = 35 mi is 19. 2 inches meaning it will take Danton 19. 2 inches of a ride or walk to get to Crowley.

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Answer:

Step-by-step explanation:

So, to compare fractions, we need them to have the same denominators because for example, 4/1 = 4 and 4/2 = 2 is totally different.

(in that case, we could have looked at the denominators, and the fraction with the smallest denominator would be the greater one since the numerators are the same, but it was just an example)

To do that, we look at them : we see -3/5 and -2/3

3 is not a multiple of 5, neither 5 is a multiple of 3, so we use 3*5 =15

(if it was 3 and 6, we could have used 6/2 = 3 or 3*2 = 6)

Next move, we put the fractions on 15 : [tex]\frac{-2}{3} =\frac{-2*5}{3*5} =\frac{-10}{15}[/tex] and [tex]\frac{-3}{5} =\frac{-3*3}{5*3} =\frac{-9}{15}[/tex]

Now, we look at the numerators : -10 < -9

(don't forget they're negative numbers )

And to conclude :

[tex]\frac{-10}{15} < \frac{-9}{15\\}\\\frac{-2}{3} < \frac{-3}{5}[/tex]  hope it helps :)

Answer:

Step-by-step explanation:

ans = 2

Answer:

2

Step-by-step explanation:

exponential 1/4 = sq root twice

so √16 =4, √4=2

Line T crosses the x-axis at point R, with coordinates (k,0). Suppose that w is increasing at the constant rate of 5 units per second.

In the figure above, line T is tangent to the graph of

y=1/x2

at point

P

, with coordinates

(w,1/ w2 )

​, where

w>0

. Point

Q

has coordinates

(w,0)

. Line

T

crosses the

x

-axis at point

R

, with coordinates

(k,0)

. Suppose that

w

is increasing at the constant rate of 5 units per second. When

w=2

, what is the rate of change of the area of triangle PQR with respect to time? Determine whether the area is increasing or decreasing at this instant. Round to three decimal places.

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The closing balance of the accumulated depreciation account, obtained from the values in the table is; $3,000

Depreciation is the cost of an asset during the indicated useful life of the asset

The closing balance of the accumulated depreciation account can be found as follows;

The accumulated depreciation is the sum of the depreciation charged on an asset up to the current date.

The formula for calculating the accumulated depreciation can be presented as follows;

Accumulated depreciation = [tex]\frac{(Cost \ of\ asset - Salvage\ Value)}{Life\ of\ Asset}[/tex] × Indicated Period

The indicated period is the number of years of use for the asset

The specified table is the accumulated depreciation account which is a contra asset (that reduces the value of the asset) account, therefore, the amounts stated indicates the depreciation during a specified period

The balance b/f on January 1, 2012, (beginning of the year) is the depreciation balance brought forward, which in the table is $1,000

The depreciation on Dec 31, 2012, (the end of the year) which is the depreciation during the year is; $2000

The accumulated depreciation is therefore; $1,000 + $2,000 = $3,000

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