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3 years ago

If f(x) = 2^{5x}-3f(x)=2 5x −3, what is the value of f(2)f(2)

Mathematics

1 answer:

MA_775_DIABLO [31]3 years ago

8 0

Answer:

what does "^" mean in this equation?

Step-by-step explanation:

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Which skier will have a greater potential energy? Skier one is higher then skier two.

masha68 [24]

Skier one will have more potential energy

7 0

3 years ago

Read 2 more answers

Simplify this equation please.

Sauron [17]

$\dfrac{\csc^2\theta-3\csc\theta+2}{\csc^2\theta-1}$

Identity:

$\sin^2\theta+\cos^2\theta=1\implies1+\cot^2\theta=\csc^2\theta$

So we can rewrite the denominator to get

$\dfrac{\csc^2\theta-3\csc\theta+2}{\cot^2\theta}$

Multiply numerator and denominator by $\sin^2\theta$ . Several terms will cancel since $\sin\theta\csc\theta=1$ . Also, $\cot\theta=\dfrac{\cos\theta}{\sin\theta}$ . We get

$\dfrac{1-3\sin\theta+2\sin^2\theta}{\cos^2\theta}$

Factorize the numerator, and write $\cos$ in terms of $\sin$ in the denominator to factorize it further to get

$\dfrac{(1-\sin\theta)(1-2\sin\theta)}{\cos^2\theta}=\dfrac{(1-\sin\theta)(1-2\sin\theta)}{1-\sin^2\theta}=\dfrac{(1-\sin\theta)(1-2\sin\theta)}{(1-\sin\theta)(1+\sin\theta)}$

The $1-\sin\theta$ factors cancel, leaving you with

$\dfrac{1-2\sin\theta}{1+\sin\theta}$

which you could simplify a bit further by writing

$\dfrac{1+\sin\theta-3\sin\theta}{1+\sin\theta}=1-\dfrac{3\sin\theta}{1+\sin\theta}$

3 0

4 years ago

Re-Write each expression in scientific notation.

ICE Princess25 [194]

27. =
3,500,000 x 4,000 = 14,000,000,000

4 0

3 years ago

Tyrell's SAT math score was in the 64th percentile. If all SAT math scores are normally distributed with a mean of 500 and a sta

jarptica [38.1K]

Answer:

$P(x < 535.8) = 0.64$

$P_{64} = 535.8$

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 500

Standard Deviation, σ = 100

We are given that the distribution of SAT score is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.64

P(X<x) = 0.64

$P( X < x) = P( z < \displaystyle\frac{x - 500}{10})=0.64$

Calculation the value from standard normal z table, we have, $p(z$

$\displaystyle\frac{x - 500}{100} = 0.358\\x = 535.8$

$P(x < 535.8) = 0.64$

$P_{64} = 535.8$

8 0

3 years ago

A line has a Y-intercept of 6 and a slope of 8. What is its equation in slope-intercept form?

LenaWriter [7]

Answer:

y = 8x + 6

Step-by-step explanation:

The slope intercept form is: y = mx + c

where m ⇒ slope

c ⇒ y-intercept

(x,y) is a point on the graph the satisfy the equation representing that graph. x is the x-coordinate of a point on the line and y is the y-coordinate of a point on the line.

m = 8

Y-intercept = 6

y = mx + c ⇒ y = 8x + 6

5 0

4 years ago