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3 years ago

PLEASE HELP MATH EXPAND LOG

Mathematics

1 answer:

blsea [12.9K]3 years ago

8 0

Answer:

½log3 + ½logx

Step-by-step explanation:

½(log(3x))

½(log3 + logx)

½logx + ½log3

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Find the surface area of a rectangular prism with length 18 inches, width 6 inches, and height 4 inches.

Sever21 [200]

If its volume (Not so sure about surface area?) than its 432 inches^3

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3 years ago

At a red-tag sale, all items with red tags have been marked down by 49%. What should be the sale price of a DVD player having a

vampirchik [111]

Original price was $234.95
49% marked down = $234.95 *49 / 100 = $115.13

So now the sale price = original price - price of 49% marked down

sale price = $234.95 - $115.13 = $119.82

Answer: sale price of a DVD player having a red tag marked down by 49% should be $119.82

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3 years ago

The most important component of a physical structure is a solid foundation on which the rest of the structure sits. a strong fou

eduard

The foundational concept of algebra is to use the alphabetical letters to find the unknown number.

Algebra is the concept that uses the alphabetical letters such as x, y, z, etc. to calculate the unknow numbers. here the letters are also called as variables. The values that are known in the expression as termed as constants.

The general operations performed on the algebra is

Addition = x + y
Subtraction = x - y
Multiplication = x * y
Division = x / y

Here the alphabets x and y are called variables.

Order of operations:

The order of operation in algebra is given as follows

Perform all the operations inside the brackets
Perform the operations on roots and exponents
Perform all the division and multiplication operations moving from left to right
Perform all the addition and subtraction operations from left to right.

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2 years ago

The graphs shows the number of gallons of white paint that were mixed with gallons of blue paint

pickupchik [31]

Answer:

blj;ljkboj;

Step-by-step explanation:

lknhojo

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3 years ago

Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = 2 cos(t) + sin(2t),[0, π/2].

castortr0y [4]

Answer:

The absolute maximum is $\frac{3\sqrt 3}2$ and the absolute minimum value is $0.$

Step-by-step explanation:

Differentiate of $f$ both sides w.r.t. $t$ ,

$f(t)=2 \cos t+\sin 2t$

$\Rightarrow f'(t)=-2\sin t+2\cos 2t$

Now take $f'(t)=0$

$\Rightarrow -2\sin t+2\cos 2t=0$

$\Rightarrow 2\cos 2t=2\sin t$

$\Rightarrow \cos 2t=\sin t$

$\Rightarrow 1-2\sin ^2t =\sin t \quad \quad [\because \cos 2t = 1-2\sin ^2t]$

$\Rightarrow 2\sin ^2t+\sin t-1=0$

$\Rightarrow 2\sin ^2t+2\sin t-\sin t-1=0$

$\Rightarrow 2\sin t(\sin t+1)-1(\sin t+1)=0$

$\Rightarrow (\sin t+1)(2\sin t-1)=0$

$\Rightarrow \sin t+1=0 \;\text{and}\; 2\sin t-1=0$

$\Rightarrow \sin t =-1 \;\text{and}\; \sin t =\frac 12$

In the interval $0\leq t\leq \frac {\pi}2$ , the answer to this problem is $\frac {\pi}6$

Now find the second derivative of $f(t)$ w.r.t. $t$ ,

$f''(t)=-2\cos t-4\sin 2t$

$\Rightarrow \left[f''(t)\right]_{t=\frac {\pi}6}=-2\times \frac {\sqrt 3}2-4\times \frac{\sqrt 3}2=-3\sqrt 3$

Thus, $f(t)$ is maximum at $t=\frac {\pi}6$ and minimum at $t=0$

$\left[f(t)\right]_{t=\frac {\pi}6}=2\times \frac {\sqrt 3}2+\frac{\sqrt 3}2=\frac{3\sqrt 3}2\;\text{and}\;\left[f(t)\right]_{t=\frac{\pi}2}= 2\times 0+0=0$

Hence, the absolute maximum is $\frac{3\sqrt 3}2$ and the absolute minimum value is $0$ .

7 0

3 years ago