Fifteen more than three times a number is the same as ten less than six times
the number. What is the number?

First, rewrite

[tex]x^y=e^{\ln x^y}=e^{y\ln x}[/tex]

[tex]5^{x-y}=e^{\ln5^{x-y}} = e^{\ln(5)(x-y)}[/tex]

Now, differentiate both sides using the chain rule:

[tex]\dfrac{\mathrm d\left(e^{y\ln x}\right)}{\mathrm dx}=\dfrac{\mathrm d\left(e^{\ln(5)(x-y)}\right)}{\mathrm dx}[/tex]

[tex]e^{y\ln x}\dfrac{\mathrm d(y\ln x)}{\mathrm dx}=e^{\ln(5)(x-y)}\dfrac{\mathrm d(\ln(5)(x-y))}{\mathrm dx}[/tex]

[tex]x^y\left(\dfrac{\mathrm dy}{\mathrm dx}\ln x+y\dfrac{\mathrm d(\ln x)}{\mathrm dx}\right)=\ln(5)5^{x-y}\left(\dfrac{\mathrm d(x)}{\mathrm dx}-\dfrac{\mathrm dy}{\mathrm dx}\right)[/tex]

[tex]x^y\left(\ln x\dfrac{\mathrm dy}{\mathrm dx}+\dfrac yx\right)=\ln(5)5^{x-y}\left(1-\dfrac{\mathrm dy}{\mathrm dx}\right)[/tex]

[tex]\left(x^y\ln x+\ln(5)5^{x-y}\right)\dfrac{\mathrm dy}{\mathrm dx}=\ln(5)5^{x-y}-yx^{y-1}[/tex]

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\ln(5)5^{x-y}-yx^{y-1}}{x^y\ln x+\ln(5)5^{x-y}}[/tex]

Answer:

True

Step-by-step explanation:

Answer:

the answer to the problem is h=7

The number who needs to be separated into a ratio = 72

Total number of parts = 3 + 4 + 5

= 12 parts

Each part = 72 ÷ 12

= 6

Then 3 parts = 3 × 6 = 18

4 parts = 4 × 6 = 24

5 parts = 5 × 6 = 30

Then , the ratio will be , 18 : 24 : 30

Therefore , 72 in the ratio 3:4:5 will be = 18 : 24 : 30 .

Answer: the picture is blocked

Step-by-step explanation:

Answer:

solve 1/3 (k - 9) = 1/3 k + 1/3 for k = (no solutions exist)

Step-by-step explanation:

A is the correct answer

Answer:

Permit fish=14 pounds if thats the question

Tarpon=154

Step-by-step explanation:

Answer:

D I'm pretty sure

Step-by-step explanation:

Answer:

Its B. i just did this question.

Step-by-step explanation:

Answer:

29.25 if rounded up it equals 29.3

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

its the last one

Answer:

Step-by-step explanation:

It's D the reasoning here is just look at the points at the graph and their x y coordinate

there is no picture :(

Answer:

Step-by-step explanation:

Calculate the ratio of 1265.19 and 699, then convert it to a percent (multiply by 100%):

[tex]\dfrac{1,265.19}{699}=1.81\\\\1.81\cdot100\%=181\%[/tex]

Answer:

U=2, S=1, T=1

Step-by-step explanation:

(Ux²+x-T) (2x-1)=(2x-1)²(x+S)

(Ux²+x-T)=(2x-1)(x+S)=2x²+(2S-1)x-S

U=2

2S-1=1 --> S=1

T=S=1

Answer: Yes it is right.

Step-by-step explanation: Have a blessed day!

Answer: Yes, it’s correct!

Step-by-step explanation: Have A Great Day Bro! :)

Answer:

38 units.

Step-by-step explanation:

Perimeter of the polygon EFGHJK = 38 unit

Perimeter of a shape is defined as the total length of its boundary. The perimeter of a shape is determined by adding the length of all the sides and edges enclosing the shape. It is measured in linear units of measurement like centimeters, meters, inches, or feet.

Given,

In graph of polygon EFGHJK

EF = 2 unit

FG = 10 unit

GH = 9 unit

HJ = 8 unit

JK = 7 unit

KE = 2 unit

Perimeter of EFGHJK = EF + FG + GH + HJ + JK + KE

                                    = 2 + 10 + 9 + 8 + 7 + 2

                                    = 38 unit

Hence, 38 unit is the measure of perimeter of polygon EFGHJK.

Learn more about perimeter here:

https://brainly.com/question/6465134

#SPJ2

Answer:

What is the question?

Step-by-step explanation:

Answer:

4110 / 1 = 4110

4110 / 2 = 2055

4110 / 3 = 1370

4110 / 5 = 822

4110 / 6 = 685

4110 / 10 = 411

4110 / 15 = 274

4110 / 30 = 137

4110 / 137 = 30

4110 / 274 = 15

4110 / 411 = 10

4110 / 685 = 6

4110 / 822 = 5

4110 / 1370 = 3

4110 / 2055 = 2

4110 / 4110 = 1

Answer:

2,5,1,3,6,10,15,30,137

Step-by-step explanation:

you you can use two formulas here either pi d or 2 pi r so when you use pie d which change the radius to diameter by multiplying by two so in this case we will multiply 7 by 2 to get 14 then use the formula so is 22/7 * 14 to get 44

Answer:

-3

Step-by-step explanation:

-9t-4=23

-9t=27

t=-3

Answer:

2.5

Step-by-step explanation:

Use the formula y2-y1 divided by x2-x1

Plug in the values: (7-2)/(6-4)

5/2

=2.5

Answer: so, its pretty simple so just figure it it so, its pretty simple so just figure it it

Step-by-step explanation: so, its pretty simple so just figure it it so, its pretty simple so just figure it it!

Answer:

B.

Step-by-step explanation:

I think its B because the Y comes before the slope

Answer:

40 pages

Step-by-step explanation:

120 or 2 min x 2 = 4

20 x 2 = 40

Sorry I couldn't explain more, but I hope this helps!

Answer:

40 pages

Step-by-step explanation:

convert 4 mins -> 240 secs

then cross multiply 20/120 and x/240 (x represents the pages scanned)

u then get 120x=4800

simplify(divide)-> x=40

Complete Question

You want to test whether salaries for male doctors are different from salaries for female doctors, using a random sample of 100 male and 100 female doctors. The statistical test you should use is

a. t-Test: Two-Sample Assuming Equal Variances

b. t-Test: Two-Sample Assuming Unequal Variances

c. z-Test: Two Sample for Means

d. t-Test: Paired Two Sample for Means

Answer:

The correct option is  C

Step-by-step explanation:

From the question we can see that

    The  salaries for male doctors is independent of The  salaries for female doctors

 Hence the samples obtained from both populations are independent

Also  both of the random samples are sufficiently large.

So given that the samples are independent and sufficiently large then the best statistical test to use is  z-Test: Two Sample for Means

Answer:

10 students play sudoku and checkers

Step-by-step explanation:

First find the number of students that play sudoku

2/5 * 30

12

of those 12 students, 5/6 play checkers

12 * 5/6 = 10

10 students play sudoku and checkers