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Oksana_A [137]
3 years ago
5

The volume of a cylinder is 4πx3 cubic units and its height is x units. Which expression represents the radius of the cylinder,

in units?
Mathematics
1 answer:
olga55 [171]3 years ago
4 0
\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h\qquad 
\begin{cases}
r=radius\\
h=height\\
-----\\
V=4\pi x^3\\
h=x
\end{cases}\implies 4\pi x^3=\pi \cdot r^2\cdot x
\\\\\\
\cfrac{4\pi x^3}{\pi x}=r^2\implies \implies 2^2x^2=r^2\implies \sqrt{2^2x^2}=r\implies 2x=r
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Find the missing length indicated. Leave your answer in simplest radical form.
pickupchik [31]
25

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X is 25 in this case
8 0
2 years ago
Complete the point-slope equation of the line through (2,3 and (7,4). Use exact numbers.
uysha [10]

The point-slope equation of the line is y-3=\frac{1}{5}(x-2)

Step-by-step explanation:

The form of the point-slope equation is y-y_{1}=m(x-x_{1}) , where

  • m is the lope of the line
  • (x_{1},y_{1}) is a point lies on the line

The slope of a line m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} , where

(x_{1},y_{1}) and (x_{2},y_{2}) are two points on the line

∵ The line through (2 , 3) and (7 , 4)

∴ x_{1} = 2 and x_{2} = 7

∴ y_{1} = 3 and y_{2} = 4

- Substitute these value in the rule of the slope

∵ m=\frac{4-3}{7-2}=\frac{1}{5}

∴ the slope of the line is m=\frac{1}{5}

Let us substitute the value of the slope and the coordinates of point (x_{1},y_{1}) in the form of the equation

∵ y-y_{1}=m(x-x_{1})

∵ x_{1} = 2 and y_{1} = 3

∵ m=\frac{1}{5}

∴ y-3=\frac{1}{5}(x-2)

The point-slope equation of the line is y-3=\frac{1}{5}(x-2)

Learn more:

You can learn more about the linear equation in brainly.com/question/12941985

#LearnwithBrainly

3 0
3 years ago
HELP WITH FINANCIAL LIT--WILL MARK BRANLIEST--
Dominik [7]
1. Go on a vacation that costs $3,500 
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2. 1) higher 2) lower
Subprime lending is lending money to people with a low credit score that was not really fit for the credit. This means the risk of getting the money back would be higher than prime lending. Since the risk of losing the money is higher, the interest should be higher than prime lending.

3. $200,000
The house price is $250k and the buyer put 20% down which is; 20%*$250k= $50k
Then the rest of the money that needs to be paid by the mortgage would be: $250k-$50k=$200k

4. Lower, Increase
In variable rate loans, the interest will be adjusted by the market. That means the rates will be unpredictable since it was based on the condition of the market. It will be safer for the creditor since he/she will absolutely get the revenue no matter how the market goes. This change is a bit dangerous for the borrower because the number of rates can increase dramatically. 

5. Higher, lower
When you pay 30 years mortgage, the total loan is divided by 30 years which was 2 times more than 15 years. Excluding the rates, you can estimate that the 15 years mortgage payment will be twice than 30years mortgage. The total cost would also be lower since the interest rate is applied for 15 years, about half than 30 years.

6. Negative $3,500
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The list of the assets would be: 
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The list of liability would be:
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Total liability= $1,500+ $7,500= $9,000Net worth= $5,500- $9,000= - $3,500
3 0
3 years ago
Read 2 more answers
Pls check the attachment :) <br><br>f(x)=x^5-9x^3<br><br>​
Galina-37 [17]

Answer:

As x —> negative infinity, f(x) —> negative infinity

As x —> positive infinity, f(x) —> positive infinity.

Step-by-step explanation:

y =  {x}^{5}  - 9 {x}^{3}

An odd-degree function, meaning that the graph starts from negative infinity at x —> negative infinity and positive infinity at x —> positive infinity.

As x —> negative infinity, f(x) —> negative infinity

As x —> positive infinity, f(x) —> positive infinity.

An odd-degree function is an one-to-one function so whenever x approaches positive, f(x) will also approach positive.

5 0
3 years ago
The equation , y=4^ was transformed to y=4^+2. That means the equation moved 2 spots to the left. True or False?.
ad-work [718]

False the +2 shifted to equation up 2 spots not left 2 spots

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8 0
3 years ago
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