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Ivahew [28]
3 years ago
5

Sara had 182 dollars to spend on 7 books. After buying them she had 14 dollars. How much did each book cost

Mathematics
1 answer:
Afina-wow [57]3 years ago
5 0
I believe the answer is 24 if not im sorry
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Dy/dx of ln(x/x^²+1)
exis [7]

\dfrac{dy}{dx}\ \ln\left(\dfrac{x}{x^2+1}\right)=\dfrac{1}{\frac{x}{x^2+1}}\cdot\dfrac{x'(x^2+1)-x(x^2+1)'}{(x^2+1)^2}\\\\=\dfrac{x^2+1}{x}\cdot\dfrac{1(x^2+1)-x(2x)}{(x^2+1)^2}=\dfrac{1}{x}\cdot\dfrac{x^2+1-2x^2}{x^2+1}=\dfrac{1-x^2}{x^3+x}\\\\Used:\\\\(\ln(x))'=\dfrac{1}{x}\\\\\left[f(g(x))\right]'=f'(g(x))\cdot g'(x)\\\\\left(\dfrac{f(x)}{g(x)}\right)'=\dfrac{f'(x)g(x)-f(x)g'(x)}{[g(x)]^2}

5 0
3 years ago
Rewrite the following equation in exponential form.
ira [324]

Answer:

5² = 25

Step-by-step explanation:

log5 25 = 2

log(b) (x) = (y)

make b^(y) = (x)

5² = 25

I hope this helps!

5 0
2 years ago
To solve a system of inequalities, you just need to graph each inequality and see which points are in the overlap of the graphs.
Juli2301 [7.4K]
The answer is true. Apex
6 0
3 years ago
Read 2 more answers
(100) points!!!! Help please
inysia [295]

Answer:

\displaystyle a_8=142,11\ mg

Step-by-step explanation:

Geometric sequence

Each term in a geometric sequence can be computed as the previous term by a constant number called the common ratio. The formula to get the term n is

\displaystyle a_n=a_1r^{n-1}

where a_1 is the first term of the sequence

The problem describes Georgie took 275 mg of the medicine for her cold in the first hour and that in each subsequent hour, the amount of medicine in her body is 91% (0.91) of the amount from the previous hour. It can be written as

amount in hour n = amount in hour n-1 * 0.91

a)

This information provides the necessary data to write the general term as

\displaystyle a_n=275\ .\ 0.91^{n-1}

b)

In the 8th hour (n=8), the remaining medicine present is Georgie's body is

\displaystyle a_n=275\ .\ 0.91^{8-1}

\displaystyle a_n=275\ .\ 0.91^{7}

\boxed{\displaystyle a_8=142,11\ mg}

6 0
3 years ago
-3 on a number line​
babymother [125]

-3 on a number line would look like 3 right from 0.

Let's just say we have a number line. A number line is a line that represents numbers. I'll say the positive side is on the top/left and the negative side (-3) on the bottom/right. -3 is a negative number. There is the sign (-) before 3. That indicates it's a negative number. Since it's a negative and 3, we move 3 down or right.

6 0
3 years ago
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