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krek1111 [17]
3 years ago
9

7n2 + 5 = 453 Solve the quadratic function

Mathematics
2 answers:
Reptile [31]3 years ago
8 0

7n^2 + 5 = 453

Subtract 5 from both sides:

7n^2 = 448

Divide both sides by 7:

N^2 = 64

Take the square root of both sides:

N = 8

Olenka [21]3 years ago
6 0

See attachment for math work and answer.

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Tom works for a company his normal rate of pay 15 per hour
Brrunno [24]

The amount earned by Tom is the product of the <em>rate per</em> <em>hour and the number of hours</em> worked which is $90.

  • The amount earned per hour = $15

  • The number of hours worked = 6 hours

<u>The amount earned at the normal earning rate can be calculated thus</u> :

  • <em>Normal rate per hour × number of hours</em>

Amount earned = $15 × 6 = $90

Therefore, the amount earned by Tom after working for 6 hours at the normal rate is $90.

Learn more : brainly.com/question/18796573

3 0
2 years ago
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Volume Of This Cylinder
Bogdan [553]

Answer:

6

Step-by-step explanation:

1. The Formula for volume of a Square is V=πr2h

2. So u would plug everything in.. so v- π4²12

3. so then u get 6

4 0
3 years ago
A fraction bar. The top bar is labeled 1. 4 bars underneath the bar are labeled one-fourth. 5 bars underneath the 4 bars are lab
joja [24]

Answer:

Step-by-step explanation:

3/4 * 5/2\ = 15/8 = 1 \frac{7}{8}

6 0
2 years ago
If you draw two cards from the deck at the same time, what is the probability that they will both be hearts?
koban [17]

Answer:

The probability is 1/17.

Step-by-step explanation:

The total number of ways in which 2 cards can be selected from a pack of 52 cards is \binom{52}{2}

The total number of combinations of 2 cards with hearts equals \binom{13}{2}

Thus the probability of the event that both the cards have hearts becomes

P(E)=\frac{\binom{13}{2}}{\binom{52}{2}}=\frac{1}{17}

4 0
3 years ago
Evaluate the following integral using trigonometric substitution
serg [7]

Answer:

The result of the integral is:

\arcsin{(\frac{x}{3})} + C

Step-by-step explanation:

We are given the following integral:

\int \frac{dx}{\sqrt{9-x^2}}

Trigonometric substitution:

We have the term in the following format: a^2 - x^2, in which a = 3.

In this case, the substitution is given by:

x = a\sin{\theta}

So

dx = a\cos{\theta}d\theta

In this question:

a = 3

x = 3\sin{\theta}

dx = 3\cos{\theta}d\theta

So

\int \frac{3\cos{\theta}d\theta}{\sqrt{9-(3\sin{\theta})^2}} = \int \frac{3\cos{\theta}d\theta}{\sqrt{9 - 9\sin^{2}{\theta}}} = \int \frac{3\cos{\theta}d\theta}{\sqrt{9(1 - \sin^{\theta})}}

We have the following trigonometric identity:

\sin^{2}{\theta} + \cos^{2}{\theta} = 1

So

1 - \sin^{2}{\theta} = \cos^{2}{\theta}

Replacing into the integral:

\int \frac{3\cos{\theta}d\theta}{\sqrt{9(1 - \sin^{2}{\theta})}} = \int{\frac{3\cos{\theta}d\theta}{\sqrt{9\cos^{2}{\theta}}} = \int \frac{3\cos{\theta}d\theta}{3\cos{\theta}} = \int d\theta = \theta + C

Coming back to x:

We have that:

x = 3\sin{\theta}

So

\sin{\theta} = \frac{x}{3}

Applying the arcsine(inverse sine) function to both sides, we get that:

\theta = \arcsin{(\frac{x}{3})}

The result of the integral is:

\arcsin{(\frac{x}{3})} + C

8 0
3 years ago
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