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labwork [276]
3 years ago
9

Given that the surface area of a cube is given by the formula SA = 6s2, what is the value of SA if s = 1/2 cm.

Mathematics
2 answers:
Bess [88]3 years ago
8 0
The answer is D. (because it needs to be 20 characters)

Lunna [17]3 years ago
4 0
So the formula for the SA of the cube is 6s^2. Given this, and given what "s" is, which is 1/2, we can plug the number into the formula shown.
6(1/2)^2, which will equal 1.5 on the calculator.

So your answer will be D, 1 1/2 cm^2. Hope that helps!
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For the function given​ below, find a formula for the riemann sum obtained by dividing the interval​ [a,b] into n equal subinter
Nata [24]

We split [2, 4] into n subintervals of length \dfrac{4-2}n=\dfrac2n,

[2,4]=\left[2,2+\dfrac2n\right]\cup\left[2+\dfrac2n,2+\dfrac4n\right]\cup\left[2+\dfrac4n,2+\dfrac6n\right]\cup\cdots\cup\left[2+\dfrac{2(n-1)}n,4\right]

so that the right endpoints are given by the sequence

x_i=2+\dfrac{2i}n=\dfrac{2(n+i)}n

for 1\le i\le n. Then the Riemann sum approximating

\displaystyle\int_2^42x\,\mathrm dx

is

\displaystyle\sum_{i=1}^nf(x_i)\dfrac{4-2}n=\frac8{n^2}\sum_{i=1}^n(n+i)=\frac8{n^2}\left(n^2+\frac{n(n+1)}2\right)=\frac{12n+4}n

The integral is given exactly as n\to\infty, for which we get

\displaystyle\int_2^42x\,\mathrm dx=\lim_{n\to\infty}\frac{12n+4}n=12

To check: we have

\displaystyle\int_2^42x\,\mathrm dx=x^2\bigg|_2^4=4^2-2^2=16-4=12

7 0
3 years ago
Can someone please help me with this question thank you
Burka [1]

Answer:

B & D

Step-by-step explanation:

5 0
4 years ago
Evaluate each expression for w=5, x=3, y=4 and z=8.<br> 3y+6/2x
Aliun [14]
Plug in your numbers so the equation will turn out to be 3(4)+6/2(3) , you need to simplify 6/2 which will be 3 and 3 times 3 = 9 so the equation will be 3(4)+9 and 3 times 4 = 12 so the equation will now be 12+9 = 21
Answer= 21
4 0
4 years ago
How many solutions does the nonlinear system of equations graphed below have?
k0ka [10]

Answer:

B) 2

Step-by-step explanation:

There are 2 points of intersection

3 0
4 years ago
Read 2 more answers
Help me !! 10/7 x 9/8 7/9 x 8/10
FromTheMoon [43]

Answer:

Step-by-step explanation:

10/7 x 9/8 = 90/56 = 45/28.

7/9 x 8/10 = 56/90 = 28/45

If you want to multiply these, the answer is (28*45) / 28/45) = 1.

5 0
2 years ago
Read 2 more answers
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