Solve the exponential equation: 36x = 32x - 1

Answers

Answer 1

Answer:

1/4

Step-by-step explanation:

36x=32x-1

We move all terms to the left:

36x-(32x-1)=0

We get rid of parentheses

36x-32x+1=0

We add all the numbers together, and all the variables

4x+1=0

We move all terms containing x to the left, all other terms to the right

4x=-1

x=-1/4

x=-1/4


Related Questions

Horizontal plane A and vertical plane B intersect at a line. Line n is vertical on plane B and forms a right angle with horizontal line m on plane A. Line l is diagonal on plane A. Are the lines in the diagram perpendicular, parallel, skew, or none of these? l and m: l and n: m and n:

Answers

Question:

Are the lines in the diagram perpendicular, parallel, skew, or none of these?

Answer:

l and m:

none of these

l and n:

skew

m and n:

perpendicular

Answer:

l and m:

✔ none of these

l and n:

✔ skew

m and n:

✔ perpendicular

Linear equation: -1 2 (6x + 10) = 13 Step 1: –3x – 5 = 13 Step 2: –3x = 18 Step 3: x = –6 Which sequence describes the inverse operations used for steps 2 and 3 to solve the linear equation? the addition property of equality and then the division property of equality the addition property of equality and then the multiplication property of equality the subtraction property of equality and then the division property of equality the subtraction property of equality and then the multiplication property of equality

Answers

Answer:

  (A)  the addition property of equality and then the division property of equality

Step-by-step explanation:

To get from Step 1 to Step 2, we have added 5 to both sides of the equation:

  -3x -5 +5 = 13 +5

  -3x = 18

To get from Step 2 to Step 3, we have divided both sides of the equation by -3:

  -3x/-3 = 18/-3

  x = -6

These operations can be described as ...

  the addition property of equality and then the division property of equality

__

However, since addition and subtraction are the same thing, but with opposite numbers, and since multiplication and division are the same thing, but with reciprocal numbers, any of the answer choices is arguably correct.

  (add 5, divide by -3) = (add 5, multiply by -1/3) =

  (subtract -5, divide by -3) = (subtract -5, multiply by -1/3)

Answer:

A.) the addition property of equality and then the division property of equality

Step-by-step explanation:

Got It Right. Trust me

Andrew and his children went into a grocery store and he bought $12 worth of
apples and bananas. Each apple costs $1 and each banana costs $0.60. He
bought a total of 16 apples and bananas altogether. By following the steps
below, determine the number of apples, x, and the number of bananas, y,
that Andrew bought.

Answers

X + Y = 16
1(X) + 0.60y =12
I used the process of elimination.
Subtract everything.
0.40y = 4
Then divide
Y= 10
Therefore, he bought 10 bananas and 6 apples.

The number of apples and bananas andrew and his children bought is 6 and 10 respectively.

Andrew and his children bought $12 worth of apples and bananas. Each apple costs $1 and each banana costs $0.60. He bought a total of 16 apples and bananas altogether.
Let number of apples = x and number of bananas is x-16


What is arithmetic?

In mathematics it deals with numbers of operations according to the statements.

Here,
x*4 + 0.60(16-x) = 12
0.4x + 9.6 = 12
0.4x = 2.4
Number of apples, x = 6
And number of bananas = 16 -x
                                        = 16 - 6
                                        = 10

Thus, the number of apples and bananas andrew and his children bought is 6 and 10 respectively.

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Marta just started a new job as an engineer. She is given a $9,000 sign on bonus and paid $4,500
per month. Write and solve an equation to determine the number of months that Marta must work
before she earns $27.000.

Answers

9000 + 4500 x n = 27000

4500 x n = 18000

n = 18000 : 4500

n = 4

4 months of work

ASAP HELP RN
Ashley is diving in the ocean. She wants to reach a coral reef that is 60 feet below sea level; that is, the reef’s elevation is -60 feet. She decides to safely descend to the reef from the ocean’s surface in increments of 10 feet. Answer the following questions to learn more about Ashley’s rate of descent

Part B
Write a numerical expression that represents the number of increments it will take Ashley to reach -60 feet.

Part C
Is the number of increments in part B positive or negative?

Part D
Rewrite the expression from part B by distributing -1 from each of the negative numbers.

Part E
If you divide any number by itself, what is the result? How can you apply this result to the expression in part D?

Part F
Based on your work so far, how many increments of -10 feet are in -60 feet?

Part G
Copy and paste this image into the space below the correct number of times to show an elevation of -60 feet.

Part H
Suppose that Ashley’s brother, Alex, makes the same dive in 4 increments instead of 6 Write a numerical expression to represent Alex’s elevation change in feet per increment.

Part I
How many negative numbers are in the expression in part H? What will the sign of the solution be? How do you know?

Part J
What was Alex’s elevation change in feet per increment?

Answers

Answer:

Part B: is -60 divided by -10

Part C: is The number of increments is positive.

Part D: is -1 times 60 / -1 times 10

Part E: is Any number divided by itself is 1. In the expression  -1 times 60, the -1s in the numerator and the denominator cancel each other out to give the result 60/10, or 6

Part F: is There are 6 increments of -10 feet in -60 feet.

Part G is: copy and paste -10 feet 6 times

Part H: is -60 / 4 increments

Part I: is there is one negative number in the expression, so the solution will be negative. There isn't a -1 in the denominator to cancel out the -1 in the numerator.

Part J: is -60 /4 =-15     Alex’s elevation change in each increment was -15 feet.

Step-by-Step Explaination: I did the test.

Answer:

A:-10 or -10 feet

B:-60/-10 or -60 feet/-10 feet

C: The number of increments is positive.

D: -1 X 60/ -1 X 10 or -1 X 60 feet/ -1 X 10 feet

E: Any number divided by itself is 1. In the expression -1 X 60, the -1s in the numerator and the denominator cancel each other out to give the result 60/10, or 6.

F: There are 6 increments of -10 feet in -60 feet

G: copy and paste 6X

H:-60 feet / 4 increments

I: There is one negative number in the expression, so the solution will be negative. There isn't a -1 in the denominator to cancel out the -1 in the numerator.

J:-60/4 = -15 Alex's elevation change in each increment was -15 feet

Hope this helps

100×100×500-30+150+200×300=​

Answers

Answer is 5060120 or 5.06012*10^6

5(a-b)if a=-4 and b=-2

Answers

Answer:

See below.

Step-by-step explanation:

5(a-b)

5(-4-(-2))

5(-4+2)

5(-2)

-10

-hope it helps

The function is defined as follows for the domain given.
f(x)=3x+2, domain = (-2,-1,0, 1}
What is the range?

Answers

Answer:

- 4, - 1, 2, 5

Step-by-step explanation:

To find the range, simply substitute each of the domains into the function to get the y-values.

f(-2) = 3(-2) + 2

      = - 6 + 2

      = - 4

f(- 1) = 3(-1) + 2

       = - 3 + 2

       = - 1

f(0) = 3(0) + 2

     = 0 + 2

     = 2

f(1) = 3(1) + 2

    = 3 + 2

    = 5

The range is - 4, -1, 2, 5.

GIVING OUT BRAINLIEST!

At a restaurant, a children's meal gives a choice of four entrées: burger (B), chicken (C), pizza (P), or spaghetti (S), and two sides: apple (A) or fries (F).

Which sample space represents all the ways a child could choose one entree and one side for his or her meal?

A) BA, BF, CA, CF, PA, PF, SA, SF

B) BA, CA, PA, SA

C) BF, CF, PF, SF

D( B, C, P, S, A ,F​

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

it pretty much self explanatory

solve the inequality:

||x-3|-2|≤1

Answers

Answer:

x = 6

Step-by-step explanation:

...

...

...

.....

..

multiply (5y+x)(5y-x)

Answers

Answer:

25y²-x²

Step-by-step explanation:

How do you write 36.42 as a mixed number

Answers

36.42 as a fraction is 1821 / 50
so as a mixed number it would be 36 21/50

the governor of state A earns $53,545 more than the governor of state B. If the total of their salaries is $310,365, find the salaries of each.​

Answers

Answer:

Governor of State A earns $181,955 and Govermoe of State B earns $128,410

Answer:

the governor of state B = $128,410

the governor of state A = $ 181,955

Step-by-step explanation:

Lets say that:

the governor of state B = x

the governor of state A = x+$53,545

x+x+$53,545=

2x+$53,545= $310,365

2x=$256,820

x=$128,410

the governor of state A = $128,410 +$53,545 = $ 181,955

Need help with this, super confused on the last question. Please anything helps!

Answers

Answer:

On Wednesday they sold 5, over the four days they sold 19, and the third I believe it is 26.32 . Please rate me and mark me brainliest!

Step-by-step explanation:

Question 18
5 pts
The density of steel is 8,050 kilograms per cubic meter. A construction company is using a steel
beam in the shape of a rectangular prism that measures 12 meters long, 1/5 of a meter wide, and
1/3 meter deep. What is the mass of the steel beam?
O 1,610 kilograms
O 6,440 kilograms
O 8,050 kilograms
O 3,220 kilograms
का

Answers

Answer:

#2) 6,440 kilograms

The density of steel is 8,050 kilograms per cubic meter. A construction company is using a steel beam in the shape of a rectangular prism that measures 12 meters long, 1/5 of a meter wide, and 1/3 meter deep then the mass of the steel beam is 6,440 kilograms Option b.

To find the mass of a steel beam.  

Let's start by defining the variables we have:

- The density of steel, denoted by "ρ" (rho), is given as 8,050 kilograms per cubic meter (kg/m³).

- The dimensions of the steel beam are:

 - Length (L) = 12 meters (m)

 - Width (W) = 1/5 meter (m)

 - Depth (D) = 1/3 meter (m)

We want to find the mass (m) of the steel beam. The mass of an object can be calculated using its density and volume:

M = ρ [tex]\times V[/tex]

Here, "V" represents the volume of the steel beam. The volume of a rectangular prism (like the steel beam) is calculated as:

[tex]\[ V = L \times W \times D \][/tex]

Substitute the given values:

[tex]\[ V = 12 \, \text{m} \times \frac{1}{5} \, \text{m} \times \frac{1}{3} \, \text{m} \][/tex]

[tex]\[ V = 12 \, \text{m} \times \frac{1}{5} \times \frac{1}{3} \, \text{m} \][/tex]

[tex]\[ V = \frac{12}{5} \times \frac{1}{3} \, \text{m}^3 \][/tex]

[tex]\[ V = \frac{12}{15} \, \text{m}^3 \][/tex]

[tex]\[ V = \frac{4}{5} \, \text{m}^3 \][/tex]

Now that we have the volume, we can find the mass of the steel beam using the given density:

[tex]\[ m = 8,050 \, \text{kg/m}^3 \times \frac{4}{5} \, \text{m}^3 \][/tex]

[tex]\[ m = \frac{8,050 \times 4}{5} \, \text{kg} \][/tex]

[tex]\[ m = \frac{32,200}{5} \, \text{kg} \][/tex]

[tex]\[ m = 6,440 \, \text{kg} \][/tex]

After performing the calculations, we find that the mass of the steel beam is 6,440 kilograms. Therefore, the correct answer is option Option b 6,440 kilograms.

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Evaluate 14+(-9)-(-9)

Answers

Answer:

14

Step-by-step explanation:

Because two 9's cancel out each other so 9 is what is left.

Hope it helps!

Answer:

14

Step-by-step explanation:

14+(-9)=14-9=5-(-9)-5+9=14

What is another way to write 300 + 20 + 5

Answers

Answer:

25+300

320+5

305+20

Step-by-step explanation:

Answer:

Your answer is: 1) 150+160+15 2) 45+200+80 3) 300+5+20

Step-by-step explanation:

Hope this helped : )

what is a 2 step equation equivalent to 12?

Answers

Answer:

[tex]\sqrt{x-3} = 3[/tex]

Step-by-step explanation:

1. Label each representation below as a "Function" or "Not a function".
a.
b.
o.
х
у
{(-2,9), (0, -4), (3, 12), (1, 1))
-1
1
-1
2
-1
3
-1
4
Function
not a function
not a function

Answers

Answer:

a. Function

b. Function

c. Not a function

Step-by-step explanation:

Here is a basic rule to determine if a relation is a function of not:

1. A function has only one exact y-value (range) assigned to each x-value (domain).

2. A x-coordinate value is not repeated in a function, however, a y-coordinate value can be repeated. This means, the same y-value can be assigned to different x-values.

Bearing these in mind, let's label the given representation accordingly:

a. There is exactly one y-value assigned to each x-value, and also, no x-value is repeated. Therefore, it is a function.

b. The graph shows a repeating y-value, however, each x-value has exactly one y-value assigned to it. Therefore the graph represented is a function.

c. The table shows a repeating x-values. This is definitely not a function.

what is two thirds of 600

Answers

Answer:

Step-by-step explanation:

400

Answer:

its simple its 400

Step-by-step explanation:

2.5 (y+ 2/5) = -13

What is y? Show your work.

Answers

Answer:

[tex]y = \frac{ - 67}{5} [/tex]

Step-by-step explanation:

[tex]y + \frac{2}{5} = - 13[/tex]

* Subtract 2/5 from both sides

[tex]y + \frac{2}{5} - \frac{2}{5 } = - 13 - \frac{2}{5} [/tex]

[tex]y = \frac{ - 67}{5} [/tex]

Can someone help and explain

Answers

Answer:

∠ A ≈ 43.1°

Step-by-step explanation:

Using the Sine rule in Δ ABC , that is

[tex]\frac{a}{sinA}[/tex] = [tex]\frac{c}{sinC}[/tex] , substitute values

[tex]\frac{20}{sinA}[/tex] = [tex]\frac{29}{sin82}[/tex] ( cross- multiply )

29 × sinA = 20 × sin82 ( divide both sides by 29 )

sinA = [tex]\frac{20sin82}{29}[/tex] , thus

∠ A = [tex]sin^{-1}[/tex] ([tex]\frac{20sin82}{29}[/tex] ) ≈ 43.1° ( to 1 dec. place )

what is the percentage of a 1:100 solution

Answers

Answer:

It would be 1%

New legislation passed in 2017 by the U.S. Congress changed tax laws that affect how many people file their taxes in 2018 and beyond. These tax law changes will likely lead many people to seek tax advice from their accountants (The New York Times). Backen and Hayes LLC is an accounting firm in New York state. The accounting firms believe that it may have to hire additional accountants to assist with the increased demand in tax advice for the upcoming tax season. Backen and Hayes LLC has developed the following probability distribution for x= number of new clients seeking tax advice.x f(x)20 .0525 .2030 .2535 .1540 .1545 .1050 .10a. Is this a valid probability distribution? Explain.b. What is the probability that Backens and Hayes LLC will obtain 40 or more new clients?c. What is the probability that Backens and Hayes LLC will obtain fewer than 35 new clients?d. Compute the expected value, variance, and standard deviation of x.

Answers

Answer:

a. Yes

b. 0.35

c. 0.5

d.

E(x)=34.25

V(x)=73.1875

SD(x)=8.555

Step-by-step explanation:

a.

x      20   25   30      35   40  45 50

f(x) 0.05 0.2 0.25  0.15  0.15 0.1 0.1

This will be valid probability distribution if

1. All probabilities are between 0 and 1 inclusive.

2. Sum of probabilities must be 1.

Condition 1 is satisfied in this distribution. Now, we will check second condition

sum(f(x))=0.05+0.2+0.25+0.15+0.15+0.1+0.1=1.

As the both conditions are satisfied, thus the given distribution is a valid probability distribution.

b.

P(x≥40)=P(X=40)+P(X=45)+P(X=50)

P(x≥40)=0.15+0.1+0.1

P(x≥40)=0.35

So, the probability that Backens and Hayes LLC will obtain 40 or more new clients is 0.35.

c.

P(x<35)=P(X=20)+P(X=25)+P(X=30)

P(x<35)=0.05+0.2+0.25

P(x<35)=0.5

So, the probability that Backens and Hayes LLC will obtain fewer than 35 new clients is 0.5.

d.

Expected value of x=E(x)= sum[x*f(x)]

E(x)= 20*0.05+25*0.2+30*0.25+35*0.15+40*0.15+45*0.1+50*0.1

E(x)=1+5+7.5+5.25+6+4.5+5

E(x)=34.25

Variance of x=V(x)=sum[x²*f(x)]-(sum[x*f(x)])²

sum[x²*f(x)]= 20²*0.05 +25²*0.2 +30²*0.25 +35²*0.15 +40²*0.15 +45²*0.1 +50²*0.1

sum[x²*f(x)]=20+1255+225+183.75+240+202.5+50

sum[x²*f(x)]=1246.25

V(x)=1246.25-(34.25)²

V(x)=73.1875

Standard deviation of x=SD(x)=√V(x)

SD(x)=8.555

3r+2e=-6 what is the correct answer for that​

Answers

linear equation

hope it helps

Please help me out with this assignment..

Answers

Answer:

(a) 3, (b) 96, (c) No

Step-by-step explanation:

(a) Since we have [tex]p = 150 - 6q^2[/tex] and [tex]p = 10q^2 + 2q[/tex], we can set up a quadratic equation by [tex]150 - 6q^2 = 10q^2 + 2q[/tex], moving all values to one side.

The equation is: [tex]16q^2 + 2q - 150 = 0[/tex].

Let's use the quadratic formula to find q,

we obtain that [tex]q = 3[/tex] or [tex]q = -3.125[/tex]

We can ignore [tex]-3.125[/tex] because supplying a negative quantity is impossible.

Hence, the answer of (a) is 3

(b) Simply substitute [tex]q = 3[/tex] into either equations given in the question to find p, and the answer of (b) is 96.

(c) We want to find if there is an exact quantity that makes the TR exactly 1500.

We substitute TR = 1500,

[tex]1500 = 85q - 2q^2[/tex]

Use the quadratic formula again, and we will find that the answer is "undefined".

As a result, there is not output level in which the total revenue is exactly 1500.

Viola is putting stamps in a book. She has 1,488 stamps. Each page in the book can hold 62 stamps. How many pages will she need for all of her stamps.
A 12
B 18
C 24
D 32

Answers

Answer:

Answer is C. 24

Step-by-step explanation:

1488 ÷ 62 = 24

Answer:

Yes, I agree with other person it is 24

Step-by-step explanation: 1488/62=24

So, your answer is C

༼ つ ◕_◕ ༽つ

1 2/3 × 2 4/5

Please answer and explain how to do this problem.

Answers

Answer:

4 2/3

Step-by-step explanation:

First do:

5/3x14/5=

5x14

--------

3x5

=70/15

=4 2/3

Help Please I’ll Give Brainliest :)

Answers

Answer:

5 tables

Step-by-step explanation:

3 = 24

1 = 24 ÷ 3 = 8

40 chairs = 40 ÷ 8 = 5

Hope this helps!

Answer:

5 tables

Step-by-step explanation:

3 * 8 = 24

5 * 8 = 40

7 * 8 = 56

8 * 8 = 64

Which term in the sequence 15,12,9..... Is equals to - 39​

Answers

Answer:

33,39

Step-by-step explanation:

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