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MA_775_DIABLO [31]
3 years ago
9

Radius of a cylinder is 6 inches and the

Mathematics
1 answer:
sammy [17]3 years ago
6 0

Answer:

V≈1470.27

Step-by-step explanation:

V=πr2h=π·62·13≈1470.26536

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3 years ago
What are the roots of this equation x^2-2x+3=0
zzz [600]

Step-by-step explanation:

hope it's help.

see answer attached

4 0
3 years ago
Find the slope of the tangent line to the curve f(x)=e^(x) at (0.4,1.49)
almond37 [142]

Answer:

1.49

Step-by-step explanation:

In order to find the slope of the tangent line to a given equation, and in a given point, we need to:

1. Find the first derivative of the given function.

2. Evaluate the first derivative function in the given point.

1. Let's find the first derivative of the given function:

The original function is f(x)=e^{x}

But remeber that the derivative of  e^{x} is  e^{x}

so, f'(x)=e^{x}

2. Let's evaluate the first derivative function in the given point

The given point is (0.4,1.49) so:

f'(x)=e^{x}

f'(0.4)=e^{0.4}

f'(x)=1.49

Notice that the calculated slope of the tangent line is equal to the y-coordinate of the given point because f'(x)=f(x). In conclusion, the slope of the tangent line is equal to 1.49.

8 0
3 years ago
A manufacturer makes closed cubic containers from sheet metal. How many square centimeters of sheet metal will a 27,000 cm 3 con
dezoksy [38]

let's recall that a cube is just a rectangular prism with all equal sides, check picture below.

\bf \textit{volume of a cube}\\\\ V=s^3~~ \begin{cases} s=&length~of\\ &a~side\\ \cline{1-2} V=&27000 \end{cases}\implies 27000=s^3\implies \sqrt[3]{27000}=s\implies 30=s \\\\[-0.35em] ~\dotfill\\\\ \textit{surface area of a cube}\\\\ SA=6s~~\begin{cases} s=&length~of\\ &a~side\\ \cline{1-2} s=&30 \end{cases}\implies SA=6(30)\implies SA=180

6 0
3 years ago
Triangle Numbers are generated by creating trianglesof progressively larger size. Example include pinswhen bowling or balls when
iris [78.8K]

for the first term:

n= 1 there is 1 item

n=2 there are 2+1 = 3 items

n = 3 there are 3+2+1 = 3+2 = 6 items

n = 4 there are 4+3+2+1 = 4+6 = 10 items

We are adding the "n" term each time

n = 5 10+5 = 15

n= 6 15+6 = 21

n = 7 21+7 = 28

n = 8 28+8 = 36

There would be 36 items in the 8th step

4 0
1 year ago
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