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3 years ago

14

Solve for x and then type the answer. Just type the number. If there are 2 answers, then type both numbers, separated by a comma

(,). Do NOT type any spaces. Solve for x: (x + 2)^(1/3) = 3

1 answer:

Basile [38]3 years ago

3 0

(x + 2)^(1/3) = 3 equivalent to ∛[(x+2)] = 3

Raise both sides to exponent 3

x+2 = 3³===> x+2 = 27 & x=25

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Evaluate the cosine if the angle of rotation which contains the point (9, -3) on its terminal side

Liono4ka [1.6K]

so we know the terminal point is at (9, -3), now, let's notice that's the IV Quadrant

$\bf (\stackrel{x}{9}~~,~~\stackrel{y}{-3})\impliedby \textit{let's find the \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{9^2+(-3)^2}\implies c=\sqrt{81+9}\implies c=\sqrt{90} \\\\[-0.35em] ~\dotfill$

$\bf cos(\theta )=\cfrac{\stackrel{adjacent}{9}}{\stackrel{hypotenuse}{\sqrt{90}}}\implies \stackrel{\textit{rationalizing the denominator}}{\cfrac{9}{\sqrt{90}}\cdot \cfrac{\sqrt{90}}{\sqrt{90}}\implies \cfrac{9\sqrt{90}}{90}}\implies \cfrac{\sqrt{90}}{10}\implies \cfrac{3\sqrt{10}}{10}$

6 0

2 years ago

URGENT PLEASE: You purchase a new guitar and take out a loan for $450. You have 18 equal monthly payments of $28 each. What is t

kramer

Answer:
8%

Step-by-step explanation:
The amount repaid is ...
A = P(1 +rt)
Filling in the given values, we can find r.
(18·28) = 450(1 +r(18/12)) . . . . . t is in years
504 = 450 + 675t

54/675 = 0.08 = 8%

The simple interest rate on the loan is 8%.

8 0

2 years ago

HELP 60 PTS Write ln⁡〖(a^2 b^3)/cd〗 in expanded form. SHOW ALL WORK TO RECEIVE CREDIT.

Vinil7 [7]

Answer:

$\frac{(a*a)(b*b*b)}{c*d}$

Step-by-step explanation:

$\frac{a^{2} * b^{3}}{cd}$

A number to an exponent is the number times itself. A number to the "n"th power would be that number times itself "n" times.

This means that the fraction above could also be expressed as;

$\frac{(a*a)(b*b*b)}{c*d}$

If these parameters, "a", "b", "c", and "d" are given a value, then one can solve this equation.

6 0

2 years ago

150 students at Pinellas Park middle school took part in the school clean up this is 25% of the school’s total students how many

Olenka [21]

25% x 4 = 100%

So,

150 x 4 = 600.

600 students go to Pinellas Park Middle School.

7 0

3 years ago

Read 2 more answers

If f(x) = 5x2+2, then what is the slope of f(x) at x = 4?

REY [17]

The slope of a function at a point is the value of its derivative there.

... f'(x) = 5·(2x) + 0 = 10x . . . . . . using the power rule: (d/dx)(xⁿ) = n·xⁿ⁻¹

Then

... f'(4) = 10·4 = 40 . . . . . the slope at x=4

6 0

3 years ago