Find the value of m, if (3/5) raise to −3 multiply 5/3 raise to 11 equals 3/5 raise to 3m+1

Answers

Answer 1

Answer:

[tex]m=-5[/tex]

Step-by-step explanation:

[tex]\left(\frac{3}{5}\right)^{-3}\left(\frac{5}{3}\right)^{11}=\left(\frac{3}{5}\right)^{3m+1}\\\mathrm{If\:}f\left(x\right)=g\left(x\right)\mathrm{,\:then\:}\ln \left(f\left(x\right)\right)=\ln \left(g\left(x\right)\right)\\\ln \left(\left(\frac{3}{5}\right)^{-3}\left(\frac{5}{3}\right)^{11}\right)=\ln \left(\left(\frac{3}{5}\right)^{3m+1}\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)[/tex]

[tex]\ln \left(\left(\frac{3}{5}\right)^{3m+1}\right)=\left(3m+1\right)\ln \left(\frac{3}{5}\right)\\\ln \left(\left(\frac{3}{5}\right)^{-3}\left(\frac{5}{3}\right)^{11}\right)=\left(3m+1\right)\ln \left(\frac{3}{5}\right)\\\mathrm{Solve\:}\:\ln \left(\left(\frac{3}{5}\right)^{-3}\left(\frac{5}{3}\right)^{11}\right)=\left(3m+1\right)\ln \left(\frac{3}{5}\right):\quad m=\frac{14\ln \left(5\right)-14\ln \left(3\right)-\ln \left(\frac{3}{5}\right)}{3\ln \left(\frac{3}{5}\right)}[/tex]

[tex]m=\frac{14\ln \left(5\right)-14\ln \left(3\right)-\ln \left(\frac{3}{5}\right)}{3\ln \left(\frac{3}{5}\right)}\\\mathrm{Decimal}:\quad m=-5[/tex]


Related Questions

If 560 mg is 80% of a dose of medicine, how much is a full dose?

Answers

Answer:

PLEASE GIVE BRAINLIEST AND THANKS

700mg

Step-by-step explanation:

560 divided by 80= 7

7 x 100=700mg

Out of 1,000 students, 80 were asked by random sampling what color they would prefer for their first car. Their responses are shown in the table below.

Answers

Answer:

175

Step-by-step explanation:

To find a proportion, you need to put both parts over the total.  You would put the part of silver (14) over the total (80) and the part you are trying to find (X) over the total number of students (1,000). Then you cross multiply 14 x 1,000 and divide by 80 giving you 175 silver cars.

is the square root of 1,815 rational?

Answers

Answer:

It is not

Step-by-step explanation:

Answer: No, it is not rational

Explanation:

Using a calculator, we find that

sqrt(1815) = 42.6028168082816

which is not a whole number. The decimal numbers go on forever without any known pattern. Therefore, this number is irrational. This means it is not rational.

Oliver's monthly budget is $2,000. How much money does he save each month?
A $200
B $500
C $600
D $700​

Answers

Answer:

$500 would be better, for 4 months only...

Help me with question 20 I will mark brainliest

Answers

Answer:

142.9

Step-by-step explanation:

litres of milk

30/100=x/125

10x=375

x=37.5

14% of milk

14/100=x/125+y

1750+14y=100x

1750=100x–14y

1750=100(37.5)–14y

1750=3750–14y

y=2000/14=142.9

What is the square root of 300

Answers

Answer:

the square root of 300 is 17. 32

Step-by-step explanation:

[tex] \sqrt{300} =17.32 \times 17.32[/tex]

Answer:

17.32

Step-by-step explanation:

step by step

PLEASE HELP !!! i will literally give you all my points and brainliest im BEGGING
X =

y =

m ∠ H =

m ∠ G =

Answers

Answer:

x=53

y=26

H=106

G=93

Step-by-step explanation:

By the inscribed quadrilateral conjecture:

[tex]2x+(x+21)=180\\(3y+9)+(4y-11)=180\\3x+21=180\\3x=159\\x=53\\7y-2=180\\7y=182\\y=26\\H=2(53)=106\\G=(4(26)-11)=104-11=93[/tex]

Hope this helps!

Answer:

x=53

y=26

H=106

G=93

Step-by-step explanation:

im not really good with this stuff i tryed and hope this helps

5.02×10^2 in standard form​

Answers

Answer:

5020000000000.

Step-by-step explanation:

5.02×10^2 is in scientific notation so we must convert it to standard form getting that answer.

A person drives a car 55 miles per hour for 8 hours.

Answers

Answer:

They drive 6.875 miles per hour

Hope this helps :)

At about 9:00 PM every night, flights from Chicago, Miami, and Denver arrive at the local airport in a random order. What is the probability that the Chicago flight will arrive first on any night? Write your answer as a fraction in simplest form

Answers

Answer:

The answer is 1/3

Step-by-step explanation:

Since there are 3 planes that arrive in a random order, there is a 1 in 3 chance that the plane from Chicago will arrive first. Hope this helps!

Ms. Luna is waterproofing the top of a rectangular wood deck. The width of the deck is 3 m less that the length. The length is 8m. What is the area to be waterproofed?

Answers

Answer:

40 m

Step-by-step explanation:

First we have to find the width. the width is 3 less than the length, which is 8... so the width is 5. Area is found by multiplyign length times width to get 40 m.

If the width of the deck is 3 m less that the length. The length is 8m. then the area to be waterproofed is 40 m²

What is Rectangle?

A rectangle is a quadrilateral with four right angles

The area of Rectangle is length times of width.

Given that Ms. Luna is waterproofing the top of a rectangular wood deck.

The width of the deck is 3 m less that the length.

Width=Length-3

Length=8

Area of rectangle=Length×Width

=Length×(Length-3)

=8×(8-3)

=8×5

=40 m²

Hence, If the width of the deck is 3 m less that the length. The length is 8m. then the area to be waterproofed is 40 m²

To learn more on Rectangle click:

https://brainly.com/question/20693059

#SPJ2

HELP ME PLZ no guessing

Answers

Answer:

29/3

Step-by-step explanation:

C:

Answer:

7 miles per hour

Step-by-step explanation:

Speed = Distance / Time

If the distance was 15.75 miles, and the time was 2.25 hours, then doing 15.75 / 2.25 gets you 7 miles per hour.

You can check this by doing 7 x 2.25 which would get you 15.75

Justin's rice ball recipe uses 100 grams of rice to make 1 rice ball. Justin has 700 grams of rice.

Answers

Answer:

Yup he can make 7 rice balls

Step-by-step explanation:

If he has 700 grams of rice and he only needs 100 grams welp that's 700/100

first you can take the zeros off so it turns into 7/1 and anything devided by it's self is itsself

So 7/1 is 7

Justin can make 7 rice balls if he has 700 grams of rice because he can make 1 rice ball using 100 grams.

What is the ratio?

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

We have:

Justin's rice ball recipe uses 100 grams of rice to make 1 rice ball.

The ratio of the quantity of the rice to rice ball:

100:1

Multiply the above ratio by 7

700:7

Thus, Justin can make 7 rice balls if he has 700 grams of rice because he can make 1 rice ball using 100 grams.

Learn more about the ratio here:

brainly.com/question/13419413

#SPJ2

Please help! Correct answers only please!

You spin the spinner twice.

What is the probability of landing on an odd number and then landing on an even number?

Simplify your answer and write it as a fraction or whole number.

Answers

Answer:

1/4

Step-by-step explanation:

Since on this spinner, there are 2 odd numbers, 2 even numbers, and 4 numbers in total, for the both spins there is a 1/2 probability that you land on the desired outcome. 1/2*1/2=1/4. Hope this helps!

Katherine is requesting a large print job from the printing office. She has a 51-page document she wants printed double-sided and stapled. She needs 3,550 copies.How many pieces of paper are required to complete this request?

Answers

Answer:

181,050 pieces of paper.

Step-by-step explanation:

If she needs 3,550 copies of a 51 page document, you can easily solve this problem by multiplying the amount of copies needed by pages per copy. 3,550 x 51 is 181,050.

Solve the following, and express your answer in scientific notation.
(7.66 x 10^4) - (5.4 x 10^4)

Answers

Answer: 2.26 * 10^4

Step-by-step explanation:

Find x in this 45°-45°-90° triangle.

x=

Answers

Answer:

24

Step-by-step explanation:

This is the same question as before just flipped around

Is the point (5, –9) a solution in the equation y < -x -3

Answers

Answer:

yes, because if you input 5 for x it would be -8

and if u input -9 for y it is right as -8 is closer to 0 than -9

6- en la clase de repostería, inés y liz prepararon una torta de naranja. para ello, utiliza 1/2 litro de leche y 1/3 de jugo de naranja¿que cantidad de líquido utilizan? ¿cuantos litros de leche más que jugo de naranja echan?

Answers

Answer:

El total de líquido utilizado es [tex]\frac{5}{6} de litro[/tex]. Se echa [tex]\frac{1}{6}[/tex] de litro más de leche que de jugo

Step-by-step explanation:

Para saber la cantidad total de líquido, basta con sumar las cantidades de leche y de jugo de naranja. Vamos a asumir que usa 1/3 de litro de jugo de naranja.

En este caso el total de líquido es 1/2 litro + 1/3 litro. Dado que estas fracciones tienen distinta denominador, debemos sumarlas de la siguiente manera

[tex] \frac{1}{2}+\frac{1}{3} = \frac{1\cdot 3 + 2\cdot 1}{2\cdot 3} = \frac{5}{6}[/tex]

Para calcular la cantidad extra de leche de más que la cantidad de jugo, restamos estos números. Es decir

[tex] \frac{1}{2}-\frac{1}{3} = \frac{1\cdot 3 - 2\cdot 1 }{2\cdot 3} = \frac{1}{6}[/tex]

Es decir, que echamos [tex]\frac{1}{6}[/tex] de litro más de leche que de jugo.

The length of a rectangle is 2cm, and the width is 1 cm. Find the length of a diagonal of this rectangle.

A. √3cm

B. √5cm

C. 3 cm

D. 25 cm

Answers

Answer:

Ans 2

Step by step explanation :

2 X 1 = 2

Answer:

this is merely the Pythagorean Theorem. so we would do (2^2+1^2)^.5 = 2.236 = square root of 5 = answer B!!!

(algebra)Can you please help and show your work, solve for X.

Answers

Solve for x.

41. (x + a)/b + b = a

1. Subtract b.

(x + a)/b = a - b

2. Multiply by b.

x + a = ab - b^2

3. Subtract a.

x = ab - b^2 -a

42. bx + a = dx + c

1. Subtract a.

bx = dx + c - a

2. Subtract dx.

bx - dx = c - a

3. Factor x out.

x(b -d) = c - a

4. Divide by (b-d).

x = (c-a)/(b-d)

43. cx - b = ax + d

1. Add b.

cx = ax + d + b

2. Subtract ax.

cx - ax = d + b

3. Factor x out.

x(c -a) = d + b

4. Divide by (c-a).

x = (d +b)/c-a).

44. a(x -3) + 8 = b(x - 1)

1. Distribute everything.

ax - 3x + 8 = bx - b

2. Subtract 8.

ax - 3a = bx - b -8

3. Subtract bx.

ax - bx - 3a = -b - 8

4. Factor x out.

x ( a - b) - 3a = -b - 8

5. Add 3a.

x ( a - b) = -b - 8 + 3a

6. Divide by (a-b).

x =  (-b - 8 + 3a) / (a - b)

45. c ( x + 2) - 5 = b ( x -3)

1. Distribute everything.

cx + 2c -5 = bx - 3b

2. Add 5.

cx + 2c = bx - 3b + 5

3. Subtract bx.

cx - bx + 2c = -3b + 5

4. Factor x out.

x ( c - b ) + 2c = -3b + 5

5. Subtract 2c.

x ( c - b) = -3b + 5 - 2c

6. Divide by ( c - b).

x = (-3b + 5 - 2c)/(c-b)

46. a (3tx - 2b) = c (dx -2)

1. Distribute everything

3txa - 2ba = cdx - 2c

2. Subtract cdx.

3txa - cdx - 2ba = -2c

3. Add 2ba.

3txa - cdx = 2ba - 2c

4. Factor x out.

x ( 3ta - cd) = 2ba - 2c

5. Divide by (3ta - cd).

x = (2ba - 2c)/(3ta - cd)

47. b ( 5px - 3c) = a (qx -4)

1. Distribute everything.

5bpx - 3bc = apx - 4a

2. Subtract apx.

5bpx - apx - 3bc = -4a

3. Add 3bc.

5bpx - apx = -4a + 3bc

4. Factor x out.

x ( 5bp - ap ) = -4a + 3bc

5. Divide by (5bp - ap).

x = (-4a + 3bc)/(5bp - ap)

48. [a/b(2x - 12)]= c/d

1. Multiply b first.

a ( 2x - 12) = c/d

2. Multiply by d.

ad(2x - 12) = cb

3. Distribute ad.

2adx - 12ad = cb

4. Add 12ad.

2adx = cb + 12ad

5. Divide by 2 ad.

x = (cb + 12ad)/2ad

Which set of ratios could be used to determine if one triangle is a dilation of the other?
A triangle with side lengths 3.6, 5.4, 6. A triangle with side lengths 3, 4.5, 5.
StartFraction 3.6 Over 3 EndFraction = StartFraction 5.4 Over 4.5 EndFraction = StartFraction 6 Over 5 EndFraction
StartFraction 3.6 Over 3 EndFraction = StartFraction 4.5 Over 5.4 EndFraction = StartFraction 6 Over 5 EndFraction
StartFraction 3 Over 3.6 EndFraction = StartFraction 4.5 Over 6 EndFraction = StartFraction 5 Over 5.4 EndFraction
StartFraction 3 Over 4.5 EndFraction = StartFraction 3.6 Over 5.4 EndFraction = StartFraction 5 Over 6 EndFraction

Answers

Answer:

Option (1).

Step-by-step explanation:

Dimensions of two triangles have been given as 3.6, 5.4, 6 units and 3, 4.5, 5 units.

If triangle one is dilated to form triangle two, then the ratio of the sides will be

Ratio = [tex]\frac{\text{Side of triangle (1)}}{\text{Corresponding side of triangle (2)}}[/tex]

         = [tex]\frac{3.6}{3}[/tex]

Similarly, ratio of other two sides will be = [tex]\frac{5.4}{4.5}[/tex] and [tex]\frac{6}{5}[/tex]

Since the triangle (1) was dilated to form triangle (2), so both triangles will be similar and the ratios of their corresponding sides will be equal.

Therefore, Ratios of the sides = [tex]\frac{3.6}{3}=\frac{5.4}{4.5}=\frac{6}{5}[/tex]

Option (1) will be the answer.

Answer:

StartFraction 3.6 Over 3 EndFraction = StartFraction 5.4 Over 4.5 EndFraction = StartFraction 6 Over 5 EndFraction


The slope of any line perpendicular to , where A (0, -3) and B (4, 9) are two points on the line, is m =

-3
-1/3
3


Answers

Answer:

The answer is b

Step-by-step explanation:

SOHCAHTOA is not my thing can someone pls help

Answers

Answer:

You are using CAH which is adjacent/hypotenuse

Step-by-step explanation:

1.7101007166283435 is your answer

Answer:

1.710

Step-by-step explanation:

It got deleted before, idk why, but you are using CAH, so adjacent over hypotenuse. You would have to multiply cos(70) by 5 to get the answer.

A correlation of r=-. 17 indicates strong, negative correlation

Answers

Answer:

True or false

Step-by-step explanation:

Is this a true or false, and can you upload an image

PLEASE HELP ME!!!!! This is important

Answers

Answer: the answer is 80 cubic inches.

Step-by-step explanation:

To find the volume of a cube, you have to multiply length, width, and height. Therefore that is 4x5x4= 80 cubic inches

Answer is: 80 cubic in.

Formula- L x W x H

What is it called when the gravities of the Sun and Moon combine twice a month, to produce an extra-high tidal bulge and extra-low tidal dip helpppppppppp ppppplleeeeasssssssee i will mark brainlest

Answers

Answer:

spring tides

Step-by-step explanation:

spring tides occur twice a month to produce an extra-high tidal bulge and extra-low tidal dip

tick the calculation that would increase 275 by 10%
275 + 10
110/100 x 275
10/275 x 10
275 + 27.5

Answers

Answer:

The calculation that would increase 275 by 10%:

275 x ( 1 + 10%) = 275 x (1 + 10/100) = 275 x 110/100 = 302.5

Hope this helps!

:)

(+34)+(-48)+(-32)+(+26) =???

Answers

Answer:

-20

Step-by-step explanation:

Answer:

[tex] - 20[/tex]

Step-by-step explanation:

[tex] (+ 34) + ( - 48) + ( - 32) + ( +26) \\ 34 - 48 - 32 + 26 \\ = (- 20) [/tex]

Without looking, Jason draws a tile from the first bag and then a tile from the second bag. What is the probability of Jason drawing the tile numbered 2 from the first bag and the tile numbered 3 from the second bag? Wh

Answers

Complete question:

Jason has two bags with 6 tiles each. The tiles in each bag are shown below:

1 2 3 4 5 6

Without looking, Jason draws a tile from the first bag and then a tile from the second bag. What is the probability of Jason drawing the tile numbered 2 from the first bag and the tile numbered three from the second bag?

Answer: 1/36

Step-by-step explanation:

Number of tiles in each bag = 6

Probability of drawing tile numbered 2 from the first bag and the tile numbered 3 from the second

Probability of drawing number 2 from first bag :

P(numbered 2) = (required outcome / possible outcome)

P(numbered 2) = 1/6

Probability of drawing number 2 from first bag :

P(numbered 3) = 1/6

Since they are independent events :

P(drawing 2 from bag one and 3 from bag 2) :

1/6 × 1/6 = 1/36

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