I need help!!!!! It’s urgent

Rewrite the function using the change-of-base identity as

[tex]e^{x^2} \log_{10}(2x) = e^{x^2} \dfrac{\ln(2x)}{\ln(10)}[/tex]

Apply the product rule:

[tex]\left(e^{x^2} \log_{10}(2x)\right)' = \left(e^{x^2}\right)' \dfrac{\ln(2x)}{\ln(10)} + e^{x^2} \left(\dfrac{\ln(2x)}{\ln(10)}\right)'[/tex]

Use the chain rule:

[tex]\left(e^{x^2} \log_{10}(2x)\right)' = e^{x^2}\left(x^2\right)' \dfrac{\ln(2x)}{\ln(10)} + e^{x^2} \dfrac{(2x)'}{2\ln(10)x}[/tex]

Compute the remaining derivatives:

[tex]\left(e^{x^2} \log_{10}(2x)\right)' = 2xe^{x^2} \dfrac{\ln(2x)}{\ln(10)} + e^{x^2} \dfrac2{2\ln(10)x} = e^{x^2}\left(\dfrac{2x\ln(2x)}{\ln(10)} + \dfrac1{\ln(10)x}\right)[/tex]

If you like, you can convert back to base-10 logarithms:

ln(2x) / ln(10) = log₁₀(2x)

1 / ln(10) = ln(e) / ln(10) = log₁₀(e)

Then

[tex]\left(e^{x^2} \log_{10}(2x)\right)' = e^{x^2}\left(2x\log_{10}(2x)+\frac{\log_{10}(e)}x\right)[/tex]

Answer: 192 inches^2

Step-by-step explanation:

Basically what they want you to find is surface area which is adding the area of all the sides.

6*3.5*2+8*3.5*2+6*8*2=SA

42+56+96=SA

SA= 192 inches^2

Answer:

Possibly tell someone some dramatic news or put them into a dramatic situation? I'm not quite sure but that's a way to get a reaction.

Step-by-step explanation:

Answer:

The two consecutive integers are 6 and 8 or -8 and -6.

Step-by-step explanation:

The product of two consecutive even integers is 48, and we want to find the two integers.

We will let x represent the first even integer.

Then the consecutive even integer will be (x + 2).

Its product is 48. Therefore:

[tex]x(x+2)=48[/tex]

Solve for x. Since this is a quadratic, we should get one side to equal to 0. Expand:

[tex]x^2+2x=48[/tex]

Subtract 48 from both sides:

[tex]x^2+2x-48=0[/tex]

Factor:

[tex](x+8)(x-6)=0[/tex]

Zero Product Property:

[tex]x+8=0\text{ or } x-6=0[/tex]

Solve for each case:

[tex]x=-8\text{ or } x=6[/tex]

Therefore, our two consecutive integers are 6 and 8 or -8 and -6.

Answer:

An obtuse angle has a measurement greater than 90 degrees but less than 180 degrees.

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

It might be helpful to think of the % symbol as being interchangeable with /100.

133 1/2% = (133 1/2)/100 = 267/200 = 1.335

87 1/3% = (87 1/3)/100 = 262/300 = 131/150 = 0.8733333... (repeating 3)

0.01% = 0.01/100 = 1/10000 = 0.0001

8 1/3% = (8 1/3)/100 = 25/300 = 1/12 = 0.0833333... (repeating 3)

Answer:

The graph shows a proportional relationship because t=50, and that pattern follows.

Step-by-step explanation:

The graph shows a proportional relationship because t=50, and that pattern follows.

The graph represent a proportional relationship between the variables d and t as distance in miles, d a car travels is proportional to the time in hours t.

The speed of a body is the rate at which it covers the total distance in the time taken. The speed of the body is given as,

[tex]s=\dfrac{d}{t}[/tex]

Here, (d) is the distance travelled by the body and (t) is the time taken by the body to cover that distance.

The graph shows the distance in miles, d, a car travels in hours. Rewrite the above formula, ​considering it for the car,

[tex]s=\dfrac{d}{t}\\t\times s={d}[/tex]

In this formula, distance in miles, d, is directly proportional to the time taken by car in hours.

It is because as the car moves, the time start to pass and so the distance car start to cover the distance. In more time, the car will cover more distance with same speed.

Thus, the graph represent a proportional relationship between the variables d and t as distance in miles, d a car travels is proportional to the time in hours t.

Learn more about the speed here:

https://brainly.com/question/359790

#SPJ2

Answer:

3

Step-by-step explanation:

Rewrite the logarithmic notation to index notation.

4^x=64

Change 64 to index notation

ie 64 = 4^3

Since the base is the same(4) cancel them out

You remain with x = 3

Answer:

Step-by-step explanation:

The value of a figure dependents from the value of "π"

So, it can be 1374.45 ft³ or 1375 ft³

✏--------------

[tex]Given:- \\\\R_15~ft\\\\R_2=2\\\\v=88[/tex]

[tex]\frac{R_1}{R_2} =\frac{5}{2}[/tex]

[tex]\frac{(R_1)^3}{(R_2)^3} =\frac{v_1}{v_2}[/tex]

[tex]\frac{5^3}{2^3} =\frac{v_1}{88}[/tex]

[tex]8v_1=11,000[/tex]

[tex]v_1=1375ft^3[/tex]

hope it helps...

have a great day!!

Answer:

There are 212.89 miles from Tallahassee to Daytona Beach in southeast direction and 251 miles (403.95 kilometers) .

9514 1404 393

Answer:

  5/13

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relation ...

  Sin = Opposite/Hypotenuse

The side opposite Y is the one that does not have Y in its name: XZ. The hypotenuse is the longest side: YX. Then your ratio is ...

  sin(Y) = XZ/YX

  sin(Y) = 5/13

Answer:

y= -2x +3

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The order of operations tells you to evaluate parentheses first.

Step 1: simplify (12+1) and (4+15)

  39÷13 -2×19

Then it tells you to do multiplication and division, left to right.

Step 2: divide 39÷13

  3 -2×19

Step 3: multiply 2×19

  3 -38

Finally, addition and subtraction are done, left to right.

Step 4: subtract 38 from 3

  -35

Answer:

(3,3)

Step-by-step explanation:

Answer:

Loses its value

Step-by-step explanation:

Inflation is the decrease in the purchasing power of a currency. That is, when the of prices rise, each person can buy fewer goods and services in aggregate.

Answer:

A) 192

Step-by-step explanation:

20% = 0.2

240(0.2) = 48

This means $48 will be taken from the original price so:

240 - 48 = 192

Journal entries to record cash dividends are made on the:

D: Declaration date and payment date.

The ratio of dividends relative to the net income that is earned during a period of time is referred to as dividend payout ratio.

These dividends are defined as cash payments made to the stockholders out of the profits generated during that same period.

The higher the payout ratio, the lower are the earnings retained by the company and the lower the payout ratio, the higher the earnings retained by the company.

Now, when entering these cash dividends into a journal, the date of declaration of the dividends and the date of payment must be recorded.

Read more at; https://brainly.com/question/16102531

Answer:

Journal entries to record cash dividends are made on the:

D: Declaration date and payment date.

The ratio of dividends relative to the net income that is earned during a period of time is referred to as dividend payout ratio.

These dividends are defined as cash payments made to the stockholders out of the profits generated during that same period.

The higher the payout ratio, the lower are the earnings retained by the company and the lower the payout ratio, the higher the earnings retained by the company.

Now, when entering these cash dividends into a journal, the date of declaration of the dividends and the date of payment must be recorded.

Read more at; brainly.com/question/16102531

Step-by-step explanation:

Answer:

[tex]\text{Axis of symmetry: }x=-2\\\text{Vertex: }x=-2,\ y=10[/tex]

Step-by-step explanation:

[tex]y=-2x^2-8x+2\\\\\text{Solving }y=0:\\-2x^2-8x+2=0\\x=-2\pm\sqrt{5}\text{ (Using the quadratic formula)}\\\\\text{Finding mid-point (x-coordinate):}\\\frac{-2+\sqrt{5}-2-\sqrt{5}}{2}=-2\\\\\therefore\text{Vertex: }x=-2,\ y=10\\\text{Axis of symmetry: }x=-2[/tex]

Answer:

Range = 23

IQR= 14.5

Step-by-step explanation:

Range is the biggest number- smallest number

so 30-7=23

IQR - Interquartile range = upper quartile - lower quartile

24-9.5=14.5

Answer:

I think they are all Quadrilateral since they all have 4sides

Answer:

c

the total number of marbles are 12 and there are 3 colours so you divide 12 by 3

Answer:

The answer would be 5/100 or 1/20 in it's simplest form

Step-by-step explanation:

So let's say you have only 5% of a pie and the rest of your family gets the rest, if you put that in a form of a fraction, the answer would be 5 over 100 (5/100). But if you simplify, the answer would be 1/20 since 5 goes into 5 once and 20 goes into 100 5 times.

Ignore the messy writing, i was in a hurry.

Answer:

The answer is close to 375 time but not exactly 375 times

Step-by-step explanation:

I put this is the Khan Academy test and this one was the right one

Answer:

480. Since each one is 120 and there are 4 of them then its 120*4

Step-by-step explanation:

Answer:

13 - 20

Step-by-step explanation:

That is definitely correct

Answer:

A = 4.5

B = 40.5

C = 4π or 12.566

D = 16

Step-by-step explanation:

A

6 x .5 = 3

3 x .5 = 1.5

1.5 x 3 = 4.5

B

12 x 3/4 = 9

1/2 (9)(9) = 40.5

C

8 x .25 = 2

π2² = 4π or 12.566

D

24 x 1/3 = 8

6 x 1/3 = 2

2 x 8 = 16

Answer:

342.24 units²

Step-by-step explanation:

The area of one of the 8 triangular sections of the octagon is ...

A = (1/2)r²·sin(θ) . . . . . where θ is the central angle of the section

The area of the octagon is 8 times that, so is ...

A = 8·(1/2)·11²·sin(360°/8) = 242√2

A ≈ 342.24 units²

Answer:

dude what relationship?

we don't see anything u need to give us clues for something

Answer:

Answer is 2 s

Step-by-step explanation: