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4 years ago

What is 1.158×10-7 in standard notation

1 answer:

7 0

$\bf \stackrel{\textit{scientific notation}}{1.158\times 10^{-7}}\implies \stackrel{\textit{standard notation}}{0\underline{.0000001}58}\leftarrow \begin{array}{llll} 10^{-7}\textit{ means we move the dot}\\ \textit{7 slots to the left} \end{array}$

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Find a solution to dA/dt=-6A if A(0)=6. A(t)=

Delicious77 [7]

This equation is separable,

$\dfrac{dA}{dt} = -6A \implies \dfrac{dA}A = -6\,dt$

Integrate both sides and solve for $A$ :

$\displaystyle \int \frac{dA}A = -6 \int dt$

$\ln|A| = -6t + C$

$e^{\ln|A|} + e^{-6t+C}$

$\implies A(t) = Ce^{-6t}$

Solve for $C$ using the initial value.

$A(0) = 6 \implies 6 = Ce^0 \implies C=6$

Then the particular solution is

$\boxed{A(t) = 6e^{-6t}}$

8 0

2 years ago

2a) A store is having a 20%-off sale on all merchandise. If Mai buys one item and saves $13, what was the original price of her

eduard

Answer:

this question is imcompelete

Step-by-step explanation:

was there a total for this question, you can't just find out the orginal purchase with -13 and 20 percent off, you need either s start number or end number

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2 years ago

What’s 15 multiplied by 2/5 equals 6 in a division equation

Irina18 [472]

Answer:

6 / 15 = ?

Step-by-step explanation:

To put this in a division equation, you first need the total whivh is 6. So, to put this in a division equation it would look like 6 / 15 = ?

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3 years ago

I need help with this question

Svetradugi [14.3K]

Answer:

I believe the correct answer is C.

Step-by-step explanation:

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3 years ago

Read 2 more answers

Which of the following is a defined term?<br> Angle<br> Line<br> Point<br> Plane

Anna11 [10]

Answer:

C. Point is a defined term

Step-by-step explanation:

kleann

6 0

3 years ago