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olga_2 [115]
3 years ago
8

What is the answer please

Mathematics
1 answer:
serg [7]3 years ago
4 0

Step-by-step explanation:

1a.\\ 8-y=2\qquad\text{subtract 8 from both sides}\\-y=-6\qquad\text{change the signs}\\\boxed{y=6}\\\\1b.\\11-9=2-b\\2=2-b\qquad\text{subtract 2 from both sides}\\0=-b\to \boxed{b=0}\\\\2a.\\5=\dfrac{c}{3}\qquad\text{multiply both sides by 3}\\15=c\to \boxed{c=15}\\\\2b.\\2=5-t\qquad\text{subtract 5 from both sides}\\-3=-t\qquad\text{change the signs}\\3=t\to\boxed{t=3}\\\\3a.\\5n=10\qquad\text{divide both sides by 5}\\\boxed{n=2}\\\\3b.\\a+6=12\qquad\text{subtract 6 from both sides}\\\boxed{a=6}

4a.\\v-10=7\qquad\text{add 10 to both sides}\\\boxed{v=17}\\\\4b.\\7=7n+7n\\7=14n\qquad\text{divide both sides by 14}\\\dfrac{7}{14}=n\\\boxed{n=\dfrac{1}{2}}\\\\5a.\\m+11=12\cdot4\\m+11=48\qquad\text{subtract 11 from both sides}\\\boxed{m=37}\\\\5b.\\6y=7+5\\6y=12\qquad\text{divide both sides by 6}\\\boxed{y=2}\\\\6a.\\b-8=3\qquad\text{add 8 to both sides}\\\boxed{b=11}\\\\6b.\\1+c=8\qquad\text{subtract 1 from both sides}\\\boxed{c=7}

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PLEASE ANSWER!!!!!! REALLY IMPORTANT
faust18 [17]

<u>Answer-</u>

<em>The height of the prism is</em><em> 6 units</em>

<u>Solution-</u>

As the base of the prism is a hexagon consisting of 2 congruent isosceles trapezoids.

So,

V_{Prism}=Area_{Base}\times Height

And,

Area_{Base}=2\times \text{Area of the trapezoid}

Also,

\text{Area of the trapezoid}=\dfrac{1}{2}\times \text{Height}\times (\text{Sum of two parallel lines})

=\dfrac{1}{2}\times 3\times (5+8)\\\\=\dfrac{39}{2}

Putting all the values,

V_{Prism}=2\times \dfrac{39}{2}\times Height=39\times Height

As the volume is given, so

\Rightarrow 39\times Height=234

\Rightarrow Height=\dfrac{234}{39}=6

8 0
3 years ago
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Given an exponential function for compounding interest, A(x) = P(.91)^x, what is the rate of change?
Marina CMI [18]

The confirmed correct answer is -9%. Trust me.

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3 years ago
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Help please, I will give brainliest :)
iren [92.7K]

Answer/Step-by-step explanation:

2) There is a cluster, and as x increases, y increases.

As x increases y increases it may be confusing because it steps down and then goes back up the overall shows that the number has gone up. it is a cluster because all the numbers are in a very close group.

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5. Find the general solution to y'''-y''+4y'-4y = 0
CaHeK987 [17]

For any equation,

a_ny^(n)+\dots+a_1y'+a_0y=0

assume solution of a form, e^{yt}

Which leads to,

(e^{yt})'''-(e^{yt})''+4(e^{yt})'-4e^{yt}=0

Simplify to,

e^{yt}(y^3-y^2+4y-4)=0

Then find solutions,

\underline{y_1=1}, \underline{y_2=2i}, \underline{y_3=-2i}

For non repeated real root y, we have a form of,

y_1=c_1e^t

Following up,

For two non repeated complex roots y_2\neq y_3 where,

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y_3=a-bi

the general solution has a form of,

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Or in this case,

y=e^0(c_2\cos(2t)+c_3\sin(2t))

Now we just refine and get,

\boxed{y=c_1e^t+c_2\cos(2t)+c_3\sin(2t)}

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3 years ago
35%Daisy is cooking pasta. The recipe says she needs 480 grams of pasta for 4 people. How many kilograms will she need for 14
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3 years ago
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