help me solve for x.

The volume of a cone is 125(pi) in3. The height is three time the length of the radius. The height of the cone = 3 × 125π = 375π inches

Given:

Volume of cone = 125π in3

Height = 3 times the radius

To find:

Height of the cone

Height of the cone = 3 × 125π = 375π inches

The given information is the volume of a cone, which is 125π in3, and the height of the cone which is 3 times the radius. To find the height of the cone, we need to multiply the volume by 3. Using the given information, we can calculate the height of the cone by multiplying 125π by 3, which gives us 375π inches as the height of the cone.

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Answer:

176 + 5x = 651

Step-by-step explanation:

the parts are 176, the guy works for 5 hours and the total is 651. the hourly cost is the unknown so 176 + 5x = 651.

hope this helps

Answer:

x=95

Step-by-step explanation:

The equation to solve this would be 651=176+5x. The first step would to subtract 176 on both sides of the equation. 651-176=176-176+5x. That equals 475=5x. Now, to isolate the variable, divide both sides of the equation by 5. 475/5=5x/5 That gives you 95=x. The cost of labor per hour is $95.

Answer: x= 4/3 but in decimal form =1.333

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    4-(2*(3*x-2))=0

4 -  2 • (3x - 2)  = 0

Pull out like factors :

  8 - 6x  =   -2 • (3x - 4)  

Solve  :    3x-4 = 0  

Add  4  to both sides of the equation :  

                     3x = 4

Divide both sides of the equation by 3:

                    x = 4/3 = 1.333

Answer:

x= undefined

Step-by-step explanation:

In order to make u understand , if u multiply 2(3x-2) it becomes 6x-4 which is the exact same as the left hand side . Therefore u cant find x from here in this manner .

For this however we can try the method bellow .

Lets say f(x)=y=6x-4=2(3x-2)

we can get the followig points for inserting domains and finind the domains . we can make graph for each . (We will not do them however)

As we have seen that both of those parts of the equation are one and the same so they will produce the exact same Line or curve .

Therefore every signle points on them r the same exact points and there fore they are the same exact line .

So the value of x is undefined and can be anything between every points on that line (Which can be infinit amounts of points) .

Step-by-step explanation:

the formula for the area of a sector is

(x°(r^2)π)/360

with x being the angle

r bring the radius of the circle

(255(13.4)^2π)/360

399.6

Hope that helps :)

Answer:

The answer is 399.6 not 399.4. I put 399.6 as my answer on acellus and I got it right.

Answer:

5 m/s

Step-by-step explanation:

Divide the distance by Karl's time to find the rate at which Karl was running:

150/30 = 5 meters per second

Answer:

I think this question is missing some information...

the vector (3,4) can be expressed as (4)(-1,1) + (7/4)(4,0) = (-4,4) + (7,0) = (3,4).

The set S={(3,4), (-1,1), (4,0)} is linearly dependent.

To express the vector (3,4) as a linear combination of the vectors (-1,1) and (4,0), we need to find scalars (coefficients) x and y such that x(-1,1) + y(4,0) = (3,4).

Setting up the equations, we have:

-1x + 4y = 3

1x + 0y = 4

From the second equation, we can solve for x and get x = 4. Substituting this value into the first equation, we have:

-4 + 4y = 3

4y = 7

y = 7/4

Therefore, the vector (3,4) can be expressed as (4)(-1,1) + (7/4)(4,0) = (-4,4) + (7,0) = (3,4).

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To find the volume of a cylinder, you can use the formula:

Volume = π * radius^2 * height

Given that the radius is 5ft and the height is 8ft, we can substitute these values into the formula:

Volume = π * (5ft)^2 * 8ft

First, let's calculate the value of the radius squared:

radius^2 = 5ft * 5ft = 25ft^2

Now we can substitute the values into the formula and calculate the volume:

Volume = π * 25ft^2 * 8ft

Using an approximate value of π as 3.14159, we can simplify the equation:

Volume ≈ 3.14159 * 25ft^2 * 8ft

Volume ≈ 628.3185ft^2 * 8ft

Volume ≈ 5026.548ft^3

Therefore, the volume of a cylinder with a radius of 5ft and a height of 8ft is approximately 5026.548 cubic feet.

The formula to find the volume of a cylinder is given by:

In this case, you have a cylinder with a radius of 5 feet and a height of 8 feet. Plugging these values into the formula, we get:

Simplifying further:

Thence, the volume of the cylinder with a radius of 5 feet and a height of 8 feet is 200π cubic feet.

Let's start solving the expression using the product to sum formulae.

Here's the given expression,

\[\sin \frac{x}{3} \cos \frac{2 x}{3}+\cos \frac{x}{3} \sin \frac{2 x}{3}\]

Using the product-to-sum formula,

\[\sin A \cos B=\frac{1}{2}[\sin (A+B)+\sin (A-B)]\]

Applying the above formula in the first term,

\[\begin{aligned}\sin \frac{x}{3} \cos \frac{2 x}{3} &= \frac{1}{2} \left[\sin \left(\frac{x}{3}+\frac{2 x}{3}\right)+\sin \left(\frac{x}{3}-\frac{2 x}{3}\right)\right] \\&= \frac{1}{2} \left[\sin x+\sin \left(-\frac{x}{3}\right)\right]\end{aligned}\]

Using the product-to-sum formula,

\[\cos A \sin B=\frac{1}{2}[\sin (A+B)-\sin (A-B)]\]

Applying the above formula in the second term,

\[\begin{aligned}\cos \frac{x}{3} \sin \frac{2 x}{3}&= \frac{1}{2} \left[\sin \left(\frac{2 x}{3}+\frac{x}{3}\right)-\sin \left(\frac{2 x}{3}-\frac{x}{3}\right)\right] \\ &= \frac{1}{2} \left[\sin x-\sin \left(\frac{x}{3}\right)\right]\end{aligned}\]

Substituting these expressions back into the original expression,

we have\[\begin{aligned}\sin \frac{x}{3} \cos \frac{2 x}{3}+\cos \frac{x}{3} \sin \frac{2 x}{3} &= \frac{1}{2} \left[\sin x+\sin \left(-\frac{x}{3}\right)\right]+\frac{1}{2} \left[\sin x-\sin \left(\frac{x}{3}\right)\right] \\ &=\frac{1}{2} \sin x + \frac{1}{2} \sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right)\\ &= \sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right)\end{aligned}\]

Therefore, the given expression can be written in terms of a single trigonometric function as:

\boxed{\sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right)}

Hence, the required expression is \sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right). The solution is complete.

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The polynomial k - 6k + 12k² - 3k⁵ when categorized is a fifth-degree polynomial

The expression of the polynomial from the question is given to be

k - 6k + 12k² - 3k⁵

When the terms of the polynomial are rearranged, the polynomial becomes

-3k⁵ + 12k² + k - 6k

Evaluate the like terms to reduce the expresson to minimum

-3k⁵ + 12k² -5

The degree of the above polynomial is 5

This means that, the polynomial is a fifth-degree polynomial with coefficients -3, 0, 0, 12, and -5

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Answer:

\(91\%\)

Step-by-step explanation:

\(P(X\geq2)\\\\=P(X=2)+P(X=3)\\\\=C(3,2)(0.82)^2(0.18)^1+C(3,3)(0.83)^3(0.18)^0\\\\=0.363096+0.551368\\\\=0.914464\\\\\approx91\%\)

The probability that at least two out of three randomly selected high school juniors plan on attending college is approximately 91%.

To calculate the probability, we need to consider the different combinations of students who plan on attending college. We can have two or three students out of the three who plan on attending college.

The probability of selecting two students who plan on attending college and one who doesn't can be calculated as follows:

P(Two students attending college) = P(Attending) * P(Attending) * P(Not attending)

= (0.82 * 0.82 * 0.18) * 3

The probability of selecting all three students who plan on attending college is:

P(Three students attending college) = P(Attending) * P(Attending) * P(Attending)

= (0.82 * 0.82 * 0.82)

Therefore, the total probability of selecting at least two students who plan on attending college is the sum of these probabilities:

P(At least two students attending college) = P(Two students attending college) + P(Three students attending college)

= (0.82 * 0.82 * 0.18 * 3) + (0.82 * 0.82 * 0.82)

≈ 0.461 + 0.547

≈ 0.908

Rounding to the nearest percent, the probability is approximately 91%.

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Answer:

p=0

Step-by-step explanation:

5P=2P

3p=0

p=0

Hope this helps!

If not, I am sorry.

Answer:

The correct answer is c.) 3/36.There are three favorable outcomes (2, 11, and 12) out of a total of 36 possible outcomes (assuming a fair six-sided number cube). Therefore, the probability of X being a 2, 11, or 12 is 3/36, which can be simplified to 1/12.

Step-by-step explanation:

The chances that a smoker has lung disease are approximately 9.4%. This probability is calculated using Bayes' theorem, considering the percentage of the population with lung disease, the percentage of smokers among those with lung disease, and the percentage of smokers among the total population.

To calculate the chances that a smoker has lung disease, we need to use conditional probability. Let's break down the given information:

- 7% of the population has lung disease.

- Of those with lung disease, 90% are smokers.

- Of those without lung disease, 74.7% are non-smokers.

We are interested in finding the probability of a smoker having lung disease. We can use Bayes' theorem to calculate this probability.

Let's define the events:

A = Having lung disease

B = Being a smoker

We want to find P(A|B), which is the probability of having lung disease given that the person is a smoker.

According to Bayes' theorem:

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

P(B|A) = Probability of being a smoker given that the person has lung disease = 90% = 0.9

P(A) = Probability of having lung disease = 7% = 0.07

P(B) = Probability of being a smoker = ?

To calculate P(B), we need to consider the overall population. The percentage of the population that has lung disease is 7%, and the percentage of smokers among the total population is not given. However, we can calculate it using the information provided.

Let's denote the percentage of non-smokers among the total population as NS. Then, the percentage of smokers among the total population is 100% - NS.

NS = Percentage of non-smokers among the total population = 100% - Percentage of smokers among the total population

NS = 100% - (100% - 7%) * (100% - 74.7%)

Simplifying the equation, we find:

NS ≈ 10.813%

Therefore, the percentage of smokers among the total population is approximately 100% - NS ≈ 89.187%.

Now, we can substitute the values into Bayes' theorem:

P(A|B) = (0.9 * 0.07) / 0.89187

Calculating the expression, we find:

P(A|B) ≈ 0.094, which is approximately 9.4%.

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Answer:

20

Step-by-step explanation:

The sum of a number and its half is thirty. Find the number​:

the formula would be:

1.5x = 30

divide both sides by 1.5:

1.5x/1.5 = 30/1.5

x = 20

check:

20 = 20

1/2 of 20 = 10

20 + 10 = 30

Answer:

x+0.5x=30

1.5x=30

x=20

Answer:

slope: \(\frac{1}{2}\)

Step-by-step explanation:

If we were to plot the first pair on a graph it would be (-2,3) and the next pair of points plotted would be (0,4). The intercepts are \(x^{1},x^{2}\) and \(y^{1}, y^{2}\). To find the slope of a line using pairs of plotted points, you need to use the slope formula  \(\frac{rise}{run}\) to solve this.

- write your formula

\(\frac{rise}{run} : m=\frac{y^{2}-y^{1} }{x^{2}-x^{1} }\)

- plug in your numbers

\(m=\frac{4-3}{0-(-2)}\)

- solve

\(m=\frac{1}{2}\)

I hope this helps!

Madeline have to pay to buy 2 pounds of cherries 5.50.

To get some cherries, Madeline headed to the supermarket. The cherries cost $6.50 a pound, but she has a coupon that will take $1 off the final price.

Madeline have to pay to buy 2 pounds of cherries is;

The total cost of 5 pounds is:

2 * 6.50 - 1.00 = 5.50

Unit price times quantity equals total cost.

P pounds' total cost:

If Zoey purchases p pounds

She must pay 6.50 pts. = 6.50 pts.

She has a voucher for $44.75 off the total, therefore she will ultimately pay 6.50p - 1.00$ = 5.50

Madeline have to pay to buy 2 pounds of cherries 5.50.

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Answer:

None of the above but if you had to choose one it would be C.

Statistics is a set of mathematical procedures used to collect, analyze, and interpret data.

Generally, it involves collecting data from a sample population, organizing the data into a meaningful manner, and then applying statistical methods to draw conclusions from the data. Statistical methods include descriptive statistics, which summarize the data, and inferential statistics, which use the data to make predictions about a larger population.

Descriptive statistics uses various measures to summarize a population, such as the mean, median, and mode. The mean is the average of all the values in a population and is calculated by adding up all the values and dividing by the number of values. The median is the middle value when all the values in a population are arranged from smallest to largest. The mode is the most frequently occurring value in a population.

Inferential statistics uses the data from a sample population to make predictions about a larger population. For example, a researcher might use a statistical test to determine if a certain treatment is effective. The researcher would collect data from a sample of the population, then use a statistical test to determine if the treatment had an effect on the sample population. If the test is statistically significant, then the researcher can conclude that the treatment is likely to have an effect on the larger population.

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Answer:

it is a (1 , 1.5)

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

It's ( 1 , 1.5 ) because the lines are both

intersecting each other at that point.

Hope this helps! <3

and if the length of the shadow is 15, we get

A Negative correlation coefficient means that as one variable increases, the other decreases (i.e., an inverse relationship).

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\(2x+3y=21\implies 3y=-2x+21\implies y=\cfrac{-2x+21}{3} \\\\\\ y=\cfrac{-2x}{3}+\cfrac{21}{3}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{2}{3}}x+7\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

well then, that simply means that

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-2}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{-2}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{-2}\implies \cfrac{3}{2}}}\)

Answer:

z = 3

Step-by-step explanation:

I hope this helps!

Given statement solution is :- The equation of the line perpendicular to y = (1/3)x - 2 and containing the point (-2, 6) is y = -3x.

To find the equation of a line perpendicular to the given line and passing through the point (-2, 6), we need to determine the slope of the perpendicular line.

The given line has a slope of 1/3. The slope of a line perpendicular to this line will be the negative reciprocal of the given slope. So, the slope of the perpendicular line will be -3/1 or -3.

Now, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1),

where (x1, y1) is the given point and m is the slope.

Using the point (-2, 6) and the slope -3, we substitute these values into the equation:

y - 6 = -3(x - (-2)).

Simplifying:

y - 6 = -3(x + 2).

Expanding:

y - 6 = -3x - 6.

Now, we can rearrange the equation into slope-intercept form (y = mx + b):

y = -3x - 6 + 6.

Simplifying:

y = -3x.

Therefore, the equation of the line perpendicular to y = (1/3)x - 2 and containing the point (-2, 6) is y = -3x.

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Answer:

Step-by-step explanation:

so,  I was just commenting about word problems to another person and here is a great example of a word problem that is too complex.  They are using the term  "function rule"  that is too broad.  They have probably defined it in some text somewhere and the teacher has mentioned in super briefly, but it's what the question is all about.  We need to understand what "function rule"  really means.   They have also used the varible "s"  which is mostly reserved for  Laplace /  Fourier  transformations.  This is just a really badly written question.   Don't feel bad if  you don't get what it's asking.  it's messy at best.   t(s) is then name of our function,  it's rule ( the function rule)  is 40/s  it's constant of proportionality is 40  ,  This rule would also mean that at the very very start of the race... at .001 into the race, you'll be going 40,000 MPH  , which is obviously not correct.   There probably needs to be some more rule descriptions saying that s is an integer, and it can't be negative. Also note that after 4 hours of racing , the speed would be 40/4 or 10 MPH,  this function rule is probably not accurate after some time.  the speed probably starts out fast,   slows down till the close to the very end of the race... they jumps up dramatically to the finish.   Watch the Tour de France writer of this question.  :D   The riders slow down as the race progress according to this function rule.  But I don't think that's at all accurate for a real bike race.   they slow down only to a point... after the start.... then hold at that speed ... till close to the end.. then speed up a lot... like 50 MPH  :0

Answer:

I think the shape above has an order of 5 because it has a reflectional symmetry of 5.

I hope this helps

For the boolean functions given, the simplified expressions using three-variable K-maps are: F(x, y, z) = x'z + yz + xy', F(x, y, z) = yz', F(x, y, z) = x + y + z, and F(x, y, z) = z + xy.

Sure! Here's a simplified explanation of the solution using three-variable K-maps:

For each boolean function, we construct a three-variable K-map and find groupings of adjacent 1s. We then write the simplified expression based on these groupings.

1. F(x, y, z) = (0, 2, 3, 4, 6)

  The groupings of adjacent 1s are at (0, 1), (1, 1), and (1, 0). The simplified expression is:

  F(x, y, z) = x'z + yz + xy'

  Answer: F(x, y, z) = x'z + yz + xy'

2. F(x, y, z) = xy + x^2 + y^2

  The grouping of adjacent 1s is at (0, 2). The simplified expression is:

  F(x, y, z) = yz'

  Answer: F(x, y, z) = yz'

3. F(x, y, z) = xy + xz'

  The grouping of adjacent 1s is at (0, 1, 3, 2). The simplified expression is:

  F(x, y, z) = x + y + z

  Answer: F(x, y, z) = x + y + z

4. F(x, y, z) = z + xy

  The groupings of adjacent 1s are at (0, 1), (0, 2), and (1, 2). The simplified expression is:

  F(x, y, z) = z + xy

  Answer: F(x, y, z) = z + xy

To summarize:

- F(x, y, z) = x'z + yz + xy'

- F(x, y, z) = yz'

- F(x, y, z) = x + y + z

- F(x, y, z) = z + xy

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