Solve for x. 5000(2)^x = 3500(3)^x​

Solve For X. 5000(2)^x = 3500(3)^x

Answers

Answer 1

Answer:

0.887966

Step-by-step explanation:

1. Divide by 3500

(5000/3500)(2^x) = (3^x)

2. divide by 2^x and simplify

10/7 = (3/2)^x.

3. apply 'ln' function

ln(10/7) = xln(3/2)

4. divide ln(3/2)

ln(10/7) / ln(3/2) = x

x = 0.87966


Related Questions

PLS HELP i need this badddd

Answers

Answer:

F or H

Step-by-step explanation:

What is the correct solution to the
inequality?


Answers

Answer:

the correct answer is D

Step-by-step explanation:

The answer for this is D.

You invested $101 and received $106.05 after one year.what was the interest rate?

Answers

The person below me is true

Josephina likes the service received at her favorite cafe and wants to leave a 20% tip. Her bill is 22.00. how much should she leave as a tip

Answers

Answer:

4.40

Step-by-step explanation:

20% of 22.00 is 4.40


The area is ___ square meters. UH HELP I need the steps if anyone can!?

Answers

ANSWER:
27m squared

STEP BY STEP:
-Find the area of the rectangle (6*3), which is 18
-Find the area of the triangle (6*2)/2=6
-The second triangle (3*3)/2=3
-Add all the answers up (27)
-Add the label (meters squared)
- your answer is 27m squared

Given a circle with diameter 12cm inside of a square, find the area of the shaded region.

Answers

Answer:

30.9 assuming the shaded area are the corner areas of the square not occupied by the circle

Step-by-step explanation:

solve for the area of the square by using the diameter of the circle area of the square=144 then solve for the area of the circle using the radius circle=113.1 the subtract from each other which would equal 30.9

Let a =[2,4,6] b=[3,7,10,13] and c= [3,4,6,7,10,13] Which of the following is true
a. Set A is Subset of Set C
b. Set B is Subset of Set C
c. Both a and b is Subset of Set C
d set B is Subset of Set a

Answers

Answer:

I think the answer is A is subset of C

40
7 Romeo and Juliet first saw each other when they were 270 feet apart.
Romeo began running toward Juliet at a rate of 16 ft/s. At the same
moment, Juliet began running toward Romeo at a rate of 14 ft/s.
A. How many seconds after they started running will they meet?
B. How far will Romeo have run then?

Answers

Answer:

A: 9 seconds

B: 144 ft.

Step-by-step explanation:

A:

Let t = no. of seconds for them to meet

When they meet the sum of their distances is 270 ft, dist = rate * time

16t + 14t = 270

30t = 270

t = 270/30

t = 9 seconds

B:

He ran 9 sec at 16 ft/sec, therefore:

9 * 16 = 144 ft

A: 9

B: 144

I’m pretty sure that’s the answers

Solve the equations
2^x – 5^y = 3 and 2^x-3 + 5 ^y-2 =21​

Answers

You can substitute a = 2ˣ and b = 5ʸ to make both equations linear.

The first equation becomes

a - b = 3

In the second equation, first simplify the exponents:

2ˣ ⁻³ = 2ˣ × 2⁻³ = 1/8 × 2ˣ

5ʸ ⁻² = 5ʸ × 5⁻² = 1/25 × 5ʸ

so the second equation changes to

a/8 + b/25 = 21

Multiply both sides of this by 200 (the LCM of 8 and 25) to eliminate the fractions:

25a + 8b = 4200

Multiply both sides of the first equation by 8, then add the corresponding sides of both equations. This eliminates b and you can solve for a :

8 (a - b) + (25a + 8b) = 8 (3) + 4200

(8a - 8b) + (25a + 8b) = 24 + 4200

33a = 4224

a = 128

Plug this into the first equation to solve for b :

128 - b = 3

b = 125

Now solve for x and y. Notice that

128 = 2⁷

and

125 = 5³

so it follows that x = 7 and y = 3.

Alternatively, you can use logarithms. For example,

a = 2ˣ   →   log₂(a) = log₂(2ˣ )   →   x = log₂(128) = 7

3 x 2 x 4 + 2 - 23 + 7 x 2
A.10
B.17
C.20
D.22

Please answer asp
Also please show steps

Answers

Answer:

17.....

....................

What is the area of rhombus ABCD?



Enter your answer in the box. Do not round at any steps.

[ ] units²

Answers

Answer:

Not sure ,but the answer might be 16 .

A=pq/2 .....hope this helps don’t know if this was what you were looking for !!

In a class book order, 2/3 of the books are fantasy and 1/4 of the books are biography. If the order contains 60 books, how many books are either fantasy or biography?

Answers

Answer:

Fantasy 40     biography 15

Step-by-step explanation:

2/3  =8/12  =  40/60

1/4 = 3/12 = 15/60

           

If a factory can produce 34 candies in 10 minutes, how many candies will it
produce in 1 hour?

Answers

Answer: 204

Step-by-step explanation:

As there are 6 lots of 10 minutes in an hour, you would have to times 34 by 6.

34x6=204

Hope this helps :)

The perimeter of a rectangle is 44 meters and the length is 10 meters more than twice the width. Find the dimensions.
A: 18 meters and 4 meters
B: 6 meters and 9 meters
C: 5 meters and 9 meters
D: 6 meters and 16 meters

Answers

Answer:

Width of rectangle = 4 meter

Length of rectangle = 18 meter

Step-by-step explanation:

Given:

Perimeter of rectangle = 44 m

Assume;

Width of rectangle = a

Length of rectangle = 2a + 10

Find:

Length and width

Computation:

Perimeter of rectangle = 2[l + b]

2[a + 2a + 10] = 44

3a + 10 = 22

3a = 12

a = 4

So,

Width of rectangle = a = 4 meter

Length of rectangle = 2a + 10 = 18 meter

PART A
"When I was your age..."

Ever heard that? Me too.

In fact, when I was YOUR age, I used to hear it all the time, including this one from my parents:

"When I was your age, everything was less expensive. In fact, movie tickets were only..."

My dad was born in 1948. How much (in dollars) do you think a movie ticket cost back then?

Answers

im guessing its about $10

Probably not more than 9$

Sally makes $9.15 per hour. If she works 3.5 hours, how much money will she make?

Answers

Answer:

$12.65

Step-by-step explanation:

i caculated that


someone please help me, i’ve been struggling.

Answers

Answer:

Triangle a: 44.7°

Triangle b: 30.5°

Triangle c: 67.4°

Triangle d: 56.6°

Step-by-step explanation:

Recall: SOHCAHTOA

a. Reference angle = [tex] \theta [/tex]

Opposite = 19

Hypotenuse = 27

Apply SOH:

[tex] sin(\theta) = \frac{Opp}{Hyp} [/tex]

[tex] sin(\theta) = \frac{19}{27} [/tex]

[tex] \theta = sin^{-1}(\frac{19}{27}) [/tex]

[tex] \theta = 44.7 degrees [/tex] (nearest tenth)

b. Reference angle = [tex] \theta [/tex]

Opposite = 33

Adjacent = 56

Apply TOA:

[tex] tan(\theta) = \frac{Opp}{Adj} [/tex]

[tex] tan(\theta) = \frac{33}{56} [/tex]

[tex] \theta = tan^{-1}(\frac{33}{56}) [/tex]

[tex] \theta = 30.5 degrees [/tex] (nearest tenth)

c. Reference angle = [tex] \theta [/tex]

Opposite = 12

Adjacent = 5

Apply TOA:

[tex] tan(\theta) = \frac{Opp}{Adj} [/tex]

[tex] tan(\theta) = \frac{12}{5} [/tex]

[tex] \theta = tan^{-1}(\frac{12}{5}) [/tex]

[tex] \theta = 67.4 degrees [/tex] (nearest tenth)

d. Reference angle = [tex] \theta [/tex]

Hypotenuse = 20

Adjacent = 11

Apply CAH:

[tex] cos(\theta) = \frac{Adj}{Hyp} [/tex]

[tex] cos(\theta) = \frac{11}{20} [/tex]

[tex] \theta = cos^{-1}(\frac{11}{20}) [/tex]

[tex] \theta = 56.6 degrees [/tex] (nearest tenth)

in the figure wx = wy. find a b c

Answers

Answer:

Step-by-step explanation:

b = 75°

a = 180° - 2(75°) = 30°

Angle XYZ = 180°-b = 105°

c = b - 35° = 40°

-0.1 = -10e e= i need this asap

Answers

You’ll want to solve for the variable e.
You will divide both sides by -10
This will cancel the -10 on right side and get
-0.1/-10=e
e will then equal 0.01 (a negative divided by a negative with result in a positive number)
e=0.01

true or false. 2/4=4/6​

Answers

Answer:

False

Step-by-step explanation:

2*2 =4, so if this were true 4*2 would equal 6. Since it doesn't, the answer is false.

I hope this helps :)

False because 2/4=1/2 while 4/6=2/3

Find an equation of the line that satisfies the given conditions
Through (1, 1); parallel to the line y = 2x - 7

Answers

m=2 → y = 2x + b →(1,1)→ 1= 2(1) + b → b= 1-2 = -1

y = 2x - 1

Can someone help me? I’ll reward points + brainalist

Answers

Answer:

your answer is c

Step-by-step explanation:

What is 1 1/3 - 3/4=?

Answers

Answer:

[tex]\frac{7}{12}[/tex]

Step-by-step explanation:

[tex]1\frac{1}{3} -\frac{3}{4} \\\\\frac{4}{3} -\frac{3}{4} \\\\\frac{16}{12} -\frac{9}{12} \\\\\frac{7}{12}[/tex]

Answer: 2 11/12 or 35/12

Step-by-step explanation:

11/3 - 3/4

44/12 - 9/12

44 - 9 = 35

35/12

2 11/12

Note: When solving for k, round to four decimal places. A culture started with 5,000 bacteria. After 3 hours, it grew to 6,500 bacteria. Predict how many bacteria will be present after 13 hours. Round your answer to the nearest whole number. P = Aekt Enter the correct answer. DONE + ?

Answers

Answer:

5000 * (e^((1 /4) * ln(55 / 50) * (13))) = 6,815.47 from My text book

Step-by-step explanation:

Prove whether the following inferences are valid using the long or short truth table method. If they are invalid, give the counterexample.
A > -B |= B > -A​

Answers

Answer:

6

Step-by-step explanation:

A bread recipe calls for 1/3 cup of white flour and 5 1/3 cups of whole wheat flour. How much flour do I need in total of my recipe?

Answers

Answer:

5 2/3

Step-by-step explanation:

5x+7 y=-19 y=-3x-21
find x and y please show your work.

Answers

Answer:

(-8, 3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define

5x + 7y = -19

y = -3x - 21

Step 2: Solve for x

Substitution

Substitute in y:                                                                                                  5x + 7(-3x - 21) = -19[Distributive Property] Distribute 7:                                                                 5x - 21x - 147 = -19Combine like terms:                                                                                         -16x - 147 = -19[Addition Property of Equality] Add 147 on both sides:                                 -16x = 128[Division Property of Equality] Divide -16 on both sides:                               x = -8

Step 3: Solve for y

Define original equation:                                                                                 y = -3x - 21Substitute in x:                                                                                                  y = -3(-8) - 21Multiply:                                                                                                             y = 24 - 21Subtract:                                                                                                            y = 3

AN(B\C)=(ANB)\C
how to prove if True or False?​

Answers

Answer:

AN*(B\C)=(ANB)\C=>ANB/C=ANB/C

Answer:

It's true but I don't know if my proof is technical enough for you.

Step-by-step explanation:

Multiplication and division of numbers can happen in any order.

Geometry, I will give brainliest. I need help fast

Answers

Answer:

x = 3.53    ( this may not be the exact number because my factoring is rusty)

Step-by-step explanation:

7x/(7x + 3) = (20x - 4)/(22x - 2)

7x(22x - 2) = (20x - 4)(7x + 3)

154x² - 14x = 140x² + 60x -28x -12

combine like terms & reduce:

14x² -46x - 12 = 0

divide by 2 to simplify:

7x² - 23x - 6 = 0

factor:

(7x + 1.7)(x - 3.53) = 0

x = 3.53

3/5x(variable) + 5.6 = 45.6
SHOW STEPS PLEASE!

Answers

sorry i gave a bad answer

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