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4 years ago

Solve for x. Simplify your answer as much as possible.

Mathematics

2 answers:

andrew-mc [135]4 years ago

8 0

Answer:

do you have any answer options

Gala2k [10]4 years ago

5 0

Just divide log5 from -3 so -3/log5 = x

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Find the absolute extreme of the function on the closed interval. y=9e^xsinx , [0,pi]

Molodets [167]

For convenience sake, I will let $y=f(x)=9e^{x}\sin x$

First, we evaluate the function at the endpoints of the interval.

$f(0)=9e^{0}\sin(0)=0\\\\f(\pi)=9e^{\pi}\sin(\pi)=0$

Then, we need to find the critical points.

We can start by taking the derivative using the power rule.

$f'(x)=9e^{x} \frac{d}{dx} \sin x+9\sin x \frac{d}{dx} e^{x}=9e^{x}(\cos x+\sin x)$

Setting this equal to 0,

$9e^x (\cos x+\sin x)=0$

Since $9e^x > 0$ , we can divide both sides by $9e^x$ .

$\cos x+\sin x=0\\\\\sin x=-\cos x\\\\\tan x=-1\\\\x=\frac{3\pi}{4}$

$f\left(\frac{3\pi}{4} \right)=9e^{3\pi/4}\sin \left(\frac{3\pi}{4} \right)=\frac{9\sqrt{2}e^{3\pi/4}}{2}$

So, the absolute minimum is $\boxed{\left(\frac{3\pi}{4}, \frac{9\sqrt{2}e^{3\pi/4}}{\sqrt{2}} \right)}$ and the absolute minima are $\boxed{(0,0), (\pi, 0)}$

3 0

2 years ago

Mr. Profit had a taxable income of $35,000. He figured his tax from the table above.

borishaifa [10]

Solution:

Taxable Income = $ 35,000

As, Taxable income = Gross income - Deductions(Debts,loans,finances)

1. Find his earned income level.

2. Enter the base amount. = $4,386

3. Find the amount over $ 31,850= $3,150

4. Multiply line 3 by 25 % = $787.50

5. Add Lines 2 and 4 = $5,173.50

6. Monthly Withholding = $ 431.13

So,Tax Paid by Mr.Profit= Taxable income-Withholding Allowances = $5,173.50 - $ 431.13= $ 4,742.37

4 0

4 years ago

Is 0.12112111211112 a rational number ?

tangare [24]

No, it is not rational because it is not repeating and it is never ending...so it cant be made into a fraction

5 0

4 years ago

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A school sold 51 less children’s tickets than adult tickets for the school play. Adult tickets cost $1.25 and children’s tickets

DerKrebs [107]

Answer:

84 adult tickets and 33 child tickets were sold.

Step-by-step explanation:

Given that a school sold 51 less children's tickets than adult tickets for the school play, and adult tickets cost $ 1.25 and children's tickets cost $ 0.75, and a total of $ 129.75 was taken in, to determine how many of each kind were sold the following calculations must be done:

61 x 1.25 + 10 x 0.75 = 83.75

81 x 1.25 + 30 x 0.75 = 123.75

82 x 1.25 + 31 x 0.75 = 125.75

83 x 1.25 + 32 x 0.75 = 127.75

84 x 1.25 + 33 x 0.75 = 129.75

Thus, 84 adult tickets and 33 child tickets were sold.

5 0

3 years ago

15-(-3)=? What is the answer?

Leya [2.2K]

Answer: 18

Step-by-step explanation:

15+3 = 18

8 0

3 years ago

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