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Irina-Kira [14]
3 years ago
5

What is the side length of a cube with volume 343 in squared?

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
6 0
Hi there!

The formula for a square is V = s^3. Using this formula, we can plug in the volume and solve for s.

WORK:
343 = s^3
s = 7

ANSWER:
The side length of a cube with volume 343 is 7 inches.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
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∠A and ∠B are vertical angles. ∠A = 65x − 12 and ∠B = 43x + 10 How many degrees are in ∠A?
Margarita [4]

Answer:

53 degrees

Step-by-step explanation:

Vertical angles are congruent so...

65x-12=43x+10

22x=22

x=1

Then add it into the equation of ∠A

m∠A= 65(1)-12

65-12

53

7 0
3 years ago
Determine the values of the constants b and c so that the function given below is differentiable. f(x)={2xbx2+cxx≤1x>1
Lera25 [3.4K]
Assuming the function is

f(x)=\begin{cases}2x&\text{for }x\le1\\bx^2+cx&\text{for }x>1\end{cases}

For f(x) to be differentiable, it necessarily has to be continuous. For this condition to be met, we need

\displaystyle\lim_{x\to1^-}f(x)=\lim_{x\to1^+}f(x)=f(1)
\iff\displaystyle\lim_{x\to1}2x=\lim_{x\to1}(bx^2+cx)
\iff2=b+c

For the derivative to exist, the one-sided limits of the derivative must also exist and be equal. We have

f'(x)=\begin{cases}2&\text{for }x1\end{cases}

\displaystyle\lim_{x\to1^-}2=\lim_{x\to1^+}(2bx+c)
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Now we solve for b and c:

\begin{cases}b+c=2\\2b+c=2\end{cases}\implies b=0,c=2
5 0
3 years ago
3(x – 5) = 2(x – 5) + x solve for x and number of soultions
ArbitrLikvidat [17]

Answer:

Step-by-step explanation

3x-15=2x-10+x

3x-15=3x-10

in this step, problem happens

becoz both side doesnt equal, no ans can be proven

4 0
3 years ago
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#2
sergey [27]
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4 0
3 years ago
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Identify the slope and y-intercept of the line.<br> y = 6x-5
Alexeev081 [22]

Answer:

slope = 6

y-intercept = -5

Step-by-step explanation:

The equation is in slope-intercept form:

y = mx + b

where m is the slope and b is the y-intercept

Let's find the slope:

The slope is the number being multiplied by x.

y = mx + b

y = 6x - 5

Therefore, the slope is 6.

Let's find the y-intercept:

The y-intercept is the last number in the equation.

y = mx + b

y = 6x -5

Therefore, the y-intercept is -5.

3 0
3 years ago
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