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cestrela7 [59]
2 years ago
7

Sam had $42 to spend on 12 raffle tickets. After buying them he had $6 left. How much did each raffle ticket cost?

Mathematics
1 answer:
Bingel [31]2 years ago
8 0

Answer:

Each raffle ticket cost $3.

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Simpliftly(-8.5)(-5)( -2)<br><br>how do i simplify it​
Darina [25.2K]

Answer:

-85

Step-by-step explanation:

(-8.5)(-5)(-2)

Multiply

(42.5)(-2)

-85

Hope this helps :)

7 0
3 years ago
Solve F(x) for the given domain.<br>F(x) = x² + 3x - 2<br>F(3)=____<br>a. 13<br>b. 16<br>C. 40​
Llana [10]

Answer:

B. 16

Step-by-step explanation:

F(3) means we must plug the number "3" into the equation for each x.

(3)^2 + 3(3) -2

9 + 9 - 2

16

5 0
3 years ago
Read 2 more answers
Find the indefinite integral using the substitution provided.
Nady [450]

Answer:  7\text{Ln}\left(e^{2x}+10\right)+C

This is the same as writing 7*Ln( e^(2x) + 10) + C

=======================================================

Explanation:

Start with the equation u = e^{2x}+10

Apply the derivative and multiply both sides by 7 like so

u = e^{2x}+10\\\\\frac{du}{dx} = 2e^{2x}\\\\7\frac{du}{dx} = 7*2e^{2x}\\\\7\frac{du}{dx} = 14e^{2x}\\\\7du = 14e^{2x}dx\\\\

The "multiply both sides by 7" operation was done to turn the 2e^(2x) into 14e^(2x)

This way we can do the following substitutions:

\displaystyle \int \frac{14e^{2x}}{e^{2x}+10}dx\\\\\\\displaystyle \int \frac{1}{e^{2x}+10}14e^{2x}dx\\\\\\\displaystyle \int \frac{1}{u}7du\\\\\\\displaystyle 7\int \frac{1}{u}du\\\\\\

Integrating leads to

\displaystyle 7\int \frac{1}{u}du\\\\\\7\text{Ln}\left(u\right)+C\\\\\\7\text{Ln}\left(e^{2x}+10\right)+C\\\\\\

Be sure to replace 'u' with e^(2x)+10 since it's likely your teacher wants a function in terms of x. Also, do not forget to have the plus C at the end. This is a common mistake many students forget to do.

To verify the answer, you can apply the derivative to it and you should get back to the original integrand of \frac{14e^{2x}}{e^{2x}+10}

4 0
2 years ago
To become a member at a local nature preserve, applicants must pay an initiation fee of $100 plus their yearly membership dues ,
Natalija [7]

The points are (2,150), (4,200).

The slope of the line joining the points is,

\begin{gathered} m=\frac{200-150}{4-2} \\ =25 \end{gathered}

Thus, the slope represents the increse in cost per year of membership.

5 0
11 months ago
Worth 20 points, please help!
serg [7]

Answer: 3


Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. Find the prime factorization of 27:

27=3*3*3 or 27=3^{3}

2.  The index of the radical is 3, therefore, you have rewrite it as following:

\sqrt[3]{27}=\sqrt[3]{3^{3}}=3^{\frac{3}{3}}=3^{1}=3

3. Therefore, as you can see, the answer is 3.


5 0
3 years ago
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