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ludmilkaskok [199]
3 years ago
14

Determine the surface area of the rectangular prism below

Mathematics
2 answers:
lianna [129]3 years ago
8 0
Where is the rectangle? Also just do H*W*L u will get the answer
Margaret [11]3 years ago
4 0
Were is the rectangle
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Find the values of m and b that make the following function differentiable.
dimaraw [331]
Now, bearing in mind that, for a graph, to be "differentiable", means a "smooth transition", not an abrupt edge or a "cusp", the first subfunction of the piece-wise is just a quadratic, the second subfunction is a linear, well, so the linear needs to hit the quadratic "smoothly", not make an abrupt edge, for that, the linear must continue the quadratic from 2 onwards, since 2 is the range edge.

now, what is the piece-wise when x = 2? well, f(2) = x² or (2)² or 4

that means, the linear needs to hit it at that point, to make it so, let's make it the slope of the linear, the same as the quadratic's.

what's the quadratic's slope? well, simple enough

\bf \left. \cfrac{dy}{dx}=2x \right|_{x=2}\implies 4\impliedby \textit{this means }
\begin{array}{llll}
mx+b\\
\uparrow \\
4
\end{array}

so we have y = 4x + b

now, recall, for the quadratic, when x =2, y = 4, so for the linear, when x = 2, y = 4 as well, this means

\bf 4 = 4(2) + b\implies 4=8+b\implies 4-8=b\implies \boxed{-4=b}
\\\\\\
mx+b\implies 4x-4\\\\
-------------------------------\\\\
f(x)=
\begin{cases}
x^2&x\le 2\\
4x-4&x\ \textgreater \ 2
\end{cases}

check the picture below.

4 0
2 years ago
Can someone please help me ASAP
fiasKO [112]

Answer:

Step-by-step explanation:

AB = 5

AC = 6

BC = √(5² + 6²) = √61 ≈ 7.8 units

3 0
2 years ago
Write the expression:<br><br> The quotient of the sum 3y and 5, and y squared.
lesya692 [45]

Answer:

(3y + 5) / (y^2)

Step-by-step explanation:

Sorry it's not actually in fraction format. That little button thing is having troubles atm on my end. Hope this is okay

6 0
2 years ago
Solve this using substitution:<br> 5x-y=-3<br> 6x+y=3
Marta_Voda [28]

Answer:

x=0.y=3

Step-by-step explanation:

5x-y=-3

y=5x+3

sub y=5x+3 into 6x+y=3,

6x+5x+3=3

11x=0

x=0

6(0)+y=3

y=3

3 0
2 years ago
Read 2 more answers
Find each product mentally. show the steps you used.7 × 2.9
JulijaS [17]
Answer is 20.3 and the steps are:
1.) 7 x 9 = 63 move the six over the 2 leave the 3 down
2.) 7 x 2 = 14
3.) 14 + 6 = 20
4.) you have 203 but must bring the decimal down and it makes it: 20.3
I hope I helped and if you're confused please ask questions
6 0
3 years ago
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