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pashok25 [27]
3 years ago
9

Let h(x) = e^(kx) + f(x),

Mathematics
1 answer:
Anestetic [448]3 years ago
3 0
\bf h(x)=e^{kx}+f(x)\implies \cfrac{dh}{dx}=ke^{kx}+f'(x)
\\\\\\
\begin{cases}
x=0\\
f'(0)=-8
\end{cases} 
h'(0)=ke^{k(0)}+(-8)\implies h'(0)=k-8
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The number 0.35 is one thousandth of what number?
Anni [7]

Answer:

0.35 is one thousandth of 350

Step-by-step explanation:

Let

x ----> the number

we know that

The number multiplied by one thousandth must be equal to 0.35

so

The linear equation that represent this situation is

(\frac{1}{1,000})x=0.35

solve for x

Multiply both sides by 1,000

1,000(\frac{1}{1,000})x=1,000(0.35)\\\\x=350

therefore

0.35 is one thousandth of 350

6 0
3 years ago
19. During a 2 3/4 hour assembly, each speaker spoke for 1/4 of an hour. How many speakers were there?​
atroni [7]

Answer:

11 speakers

Step-by-step explanation:

2 3/4 ÷ 1/4

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6 0
3 years ago
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48/31 in simplest form
Eduardwww [97]

48/31 is already at its simplest form, however you can change it to a mixed fraction which would become 1 17/31

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RADIO TELESCOPES The cross section of a large radio telescope is a parabola. The equation that describes the cross section is y=
Minchanka [31]

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3 0
3 years ago
Jill drives 75 1/3 miles every hour how many miles can Jill Drive in 8 and 3/4 hours
11Alexandr11 [23.1K]
First, multiply 75 by 8 to get 600. 
Then multiply 1/3 by 8 to get 8/3 or 2 2/3. 
Add those together to get 602 2/3. 

Next multiply 1/3 by 3/4 by multiplying the numerator by 3 and the denominator by 4. That is 3/12. Also known as 1/4. 
Multiply 75 by 3/4 by dividing it by 4 then multiplying it by 3. That is 56 1/4. 
Add 56 1/4 and 1/4 together to get 56 1/2. 

Lastly, add together 56 1/2 and 602 2/3.
Convert the fractions to sixths.
56 3/6 + 602 4/6 = 659 1/6 miles
Hope this helps! 
6 0
3 years ago
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