solve the following exponential equations.​

Solve The Following Exponential Equations.

Answers

Answer 1

Answer:

See Below

Step-by-step explanation:

(g)

[tex]\\ {5}^{x} = 0.008 \\ \\ {5}^{x} = \frac{8}{1000} \\ \\ {5}^{x} = \frac{1}{125} \\ \\ {5}^{x} = \frac{1}{ {5}^{3} } \\ \\ {5}^{x} = {5}^{ - 3} \\ \\ \huge \red{x = - 3} \\ \\[/tex]

(j)

[tex]\bigg( \frac{1}{3} \bigg)^{3 - x} = \frac{1}{9} \\ \\ \bigg( \frac{1}{3} \bigg)^{3 - x} = \bigg(\frac{1}{3} \bigg)^{2} \\ \\ 3 - x = 2 \\ \\ 3 - 2 = x \\ \\ 1 = x \\ \\ \huge \purple {x = 1} \\ \\

[/tex]

(m)

[tex]\bigg( \sqrt{ \frac{5}{7} } \bigg)^{x - 1} = \bigg( \frac{125}{343} \bigg)^{ - 1} \\ \\ \bigg( { \frac{5}{7} } \bigg)^{ \frac{x - 1}{2} } = \bigg( \frac{5}{7} \bigg)^{ - 3} \\ \\ \frac{x - 1}{2} = - 3 \\ \\ x - 1 = - 6 \\ \\ x = - 6 + 1 \\ \\ \huge \orange{ x = - 5}[/tex]


Related Questions

So ummm what was the answer ‍♀️

Answers

There’s no context but I’m guessing your talking about the gender sign. That is a female.

help plz answer all no need for expaninations

Answers

first pic: C 17
second pic: C 1
third pic: D 11
fifth pic:

Answer: C, B, A, D

Step-by-step explanation:

1. option C

f(x) = 2x² - 1

f(-1) = 2(-1)² - 1

     = 2(1) - 1

     = 2  - 1

     =   1

2. option B

f(x) = 2x - 5

11  = 2x - 5

16 = 2x

8 = x

3. option A

f(x) = 2x - 5

f(3) = 2(3) - 5

     = 6 - 5

     =   1

4. option D

f(x) = x² + 7

f(-2) = (-2)² + 7

      =   4 + 7

      =  11

5. Question 7 not provided so unable to answer

what is the "y" for -22 = y - 9

Answers

Answer:

y = -13

Step-by-step explanation:

-22 = y - 9

y = -22 + 9

y = -13

Hope this helps!

Answer:

y= -13

Step-by-step explanation:

Isolate the y by adding 9 on each side: -13 = y

Answer: y = -13

I hope this helped, please mark Brainliest, thank you!

there are 300 students in 7th grade. Paul takes a random sample to find out which fall sport students in 7th grade prefer. which group of students represents the most valid sample? ​

Answers

Answer:

A random sample of at least 150 students.

Step-by-step explanation:

If you pick athlets they might pick sports they are biased towards, so the best would be random people so that you don't get a biased answer.

Answer: C = 10 students from each 7th grade homeroom

Step-by-step explanation:

The more students from each homeroom represents a larger population that creates less of a chance for having a bias sample.

what's the answer to the second box that has nothing written in it

Answers

Answer: The answer is 13

Step-by-step explanation:

Hopefully I'm right, sorry if it's wrong..

I don’t get this please help me if your smart u get 10 points

Answers

Answer:

112

Step-by-step explanation:

Supplementary angles means that angle A and angle B added together equal 180˚. This mean we can re-write the angle measures into an algebra problem

A(3x+16) + B(2x + 4 ) = 180

Or

5x + 20 = 180

5x + 20 - 20 = 180 - 20

5x = 160

5x/5 = 160/5

x = 32

Now that we know that X = 32, we can plug 32 into the measure of angle A.

A(3x+16)

A(3(32)+16)

A(96+16)

A(112)

Angle A equals 112˚ and Angle B equals 68˚.

x + 5
3x + 10
А
B
с
Find the value of x, then find AB, AC, and BC.
x + 51

Answers

Answer:

2 is the correct answer yes

who ever answers this right gets brainliest

Answers

Answer

d.?

Step-by-step explanation:

Which line is perpendicular to y = 4x + 5?


A. y = -4x + 3

B. y = -1/4x + 6

C. y = x - 4

D. y = 1/4x - 3

Answers

your answer would be C

Complete each table for the given sequence. Then write the ordered pair

Answers

Answer:

table will be 7, 11, 15,19

Order pairs will be (1,7)(2,11)(3,15)(4,19)

the fifth term of the sequence will be 23

Step-by-step explanation:

4 (1)+3=7

4(2)+3=11

4(3)+3=15

4(4)+3= 19

4(5)+3=23

Hope this helps

7b - 9b + 3 + 4b

what is the answer to this problem

Answers

2b + 3

Step-by-step explanation:

Combine like terms

7b -9b = -2b

-2b +4b =2b

2b +3 = 2b+3

A jeweler has a fixed amount of gold to make bracelets and necklaces. The amount of
gold in each bracelet is 6 grams and the amount of gold in each necklace is 20 grams.
How much gold, in grams, would it take to make 7 bracelets and 9 necklaces? How
much gold, in grams, would it take to make b bracelets and n necklaces?

Answers

Answer:

222

Step-by-step explanation:7x6=42   20x9=180    42+180=222

simplify 3c x 5c
show working out

Answers

Answer:

15c

Step-by-step explanation:

3c x 5c =

3 x 5= 15

15c

the easiest way to do this problem is take away the c's in the expression and add them to your answer at the end which you would just be multiplying 5 x3 which = 15 then you would put the c next to the 15 so the answer would be 15c

HELP ME OUT ASAP!!!!!

Answers

Answer:

13.5

Step-by-step explanation:

1350/100=13.5

Answer:

13.5 gallons

Step-by-step explanation:

you divide basically I don't know how to explain but that's the answer

Plsss help me I have a limited amount of time!!!
I will give brainliest!!!

Answers

Answer: (5x² +3) (5x² - 9)

Plz mark brainliest:)

Answer:

[tex](5x^2+3)(5x^2-9)[/tex]

Step-by-step explanation:

4x : 3 = 11 : 5
what is the value of x

Answers

Answer: this is the answer

Step-by-step explanation:

One way we can find the unit rate of a fraction is to subtract the denominator from both the numerator and denominator, True or False?

Answers

Answer:

true

Step-by-step explanation:

Answer:true

Step-by-step explanation:

Can you explain to me and the answer plz

Answers

Answer:

what is the question

Step-by-step explanation:

Your mother bought several full packets of eggs. She opened all the packs and kept all the eggs in the fridge. You later counted all the eggs and found there are 46 eggs. One single packet looks as shown below. Do you think shopkeeper cheated your mother? Justify.

Answers

Answer:

Even when the answer is not complete, most likely yes, she was cheated.

Step-by-step explanation:

The question does not include how a packet looks, however since the total egg count is 46 units, this number is only divisible by 2 and 23.

So unless each egg packet contains 2 or 23 eggs, any other size would mean a packet had less eggs than expected.

Usually eggs come in packs of 6 or 12 units, so to sum 46 eggs or more you would need:

If 6 eggs per packet:

46/6 = 7,66 packets -> she must have bought 8 packets and should have 48 eggs, meaning there are 2 eggs missing.

If 12 eggs per packet:

46/12 = 3,83 packets -> she must have bought 4 packets and should have 48 eggs, meaning there are 2 eggs missing.

That's why it is safe to assume some packets had less eggs than expected.

The rate StartFraction 165 ounces Over 11 boxes EndFraction describes the relationship between the number of boxes and the weight of the crackers in the boxes. What is the weight, in ounces, of one box? 11 ounces per box 12 ounces per box 15 ounces per box 16 ounces per box

Answers

Answer:

15 ounces per box

Step-by-step explanation:

What is the weight, in ounces, of one box?

165ounces/ 11 boxes

This means

165ounces per 11 boxes

Hence:

11 boxes = 165ounces

1 boxes = x ounces

Cross Multiply

11x = 165 × 1

x = 165/11

x = 15 ounces

Therefore, the weight, in ounces, of one box is 15 ounces per box.

Answer:

15 ounces per box

Step-by-step explanation:

Someone pls help and write the equation pls and the answer

Answers

Answer:[tex](-7-2)=-3(-3-0)[/tex]

Step-by-step explanation:

First use slope intercept form to find the value of b (the y intercept). The slope intercept formula is

[tex]y=mx+b[/tex]

Since we are given the point (-3,2), we can say that y=2 and x=-3. m=-3. Then we get

[tex]2=-3(-3)+b[/tex]

[tex]2=9+b[/tex]

[tex]b=-7[/tex]

Since we now have the y intercept, we can convert it to a point: (0,-7). Plug this into the point slope equation:

[tex](y_{1}-y_{2})=m(x_{1}-x_{2})[/tex]

Our first point is (-3,2). Our second point is (0,-7). Therefore:

[tex]x_{1}=-3\\y_{1}=2\\x_{2}=0\\y_{2}=-7\\m=-3[/tex]

Plugging into the equation, we get

[tex](-7-2)=-3(-3-0)[/tex]

Anthony works in a grocery store.apples are on sale this week for 5 pounds for $12.00 .How much would 3 pounds cost?

Answers

Answer:

7.20

Step-by-step explanation:

12/5=2.4

2.4 for lb of apples

2.4*3=7.2

Answer:

$7.20 for 3 pounds

Step-by-step explanation:

Factor x^2+x-12 = 0 and x^2-6x+9 = 0.

Answers

Answer: x^2+x-12 = 0 ⇒ x = -4 or x = 3 and x^2-6x+9 = 0 ⇒ x= 3

x^2+x-12 = 0 (Find two numbers that add to 1 and multiply to -12)

x^2-3x+4x-12 = 0 (Factor out like terms)

x(x-3)+4(x-3) = 0 (Group common terms)

(x-3)(x+4) = 0 (Set each term to equal 0 and solve for x)

∴ x = -4 or x = 3

x^2-6x+9 = 0 (It's a perfect square trinomial)

(x-3)^2 = 0

∴ x = 3

Answer: x = -4 and x = 3 for the first one. x- 3 for the second one.

Step-by-step explanation:

big brain time

Mo walked 12 miles in 3 hours, How far would he walk in 5 hours at this
rate?
Please I need help ASAP

Answers

Answer:

He would walk 20 miles in 5 hours.

Step-by-step explanation:

Mo walked 20 miles in 5 hours.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Mo walked 12 miles in 3 hours.

In 1 hour Mo walked= 12/3

                               = 4 miles

and, in 5 hours Mo walked

= 5 x 4

= 20 miles.

Hence, Mo walked 20 miles in 5 hours.

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ2

find midpoint and length of line segment that has endpoints (3,5) and (9,-3)

Answers

Wouldn’t the answer be (6,1)

A bag contains:


4 blue marbles


2 green marbles


1 red marble


A marble is chosen at random from the bag and not replaced. Then, a second marble is chosen from the bag. What is the probability that the first marble was red and the second marble was green?

Answers

1:2 I think it could possibly be 1 out of 2 because there’s 2 green marbles and 1 red marble there for that could be your probability

When you are solving an expression using PEMDAS and you get to Multiplication and Division OR Addition and Subtraction, which direction do you complete operations?

Question 6 options:

Right to Left


However I want to do it - The order doesn't matter!


Top to Bottom


Left to Right

Answers

Answer: Yes, PEMDAS means parentheses, exponents, multiplication, division, addition, and subtraction. Multiplication and division go together, so you do whichever one comes first.

Step-by-step explanation

Solve the inequality and graph the solution on the line provided.
14 + 8x > 30
I bad at math so can someone help me hehe

Answers

Answer:

The inequality notation is x >= 2 (put the line underneath >)

Number line should have a filled in dot on the 2, with an arrow pointing to the right infinitely.

Explanation:

14 + 8x >= 30

8x >= 16

x >= 2

>= is just this symbol (>) with a line underneath it.

Hope this helps!

84 ounces of liquid detergent
for $10.64
Find the unit rate

Answers

Answer:

.13 cents per ounce

Step-by-step explanation:

divide 10.64 by 84

The sum of the first and last of four consecutive integers is 33

Answers

If x is the first integer, then the fourth integer is x + 3. The sum of these is 33, so

x + (x + 3) = 33

2x + 3 = 33

2x = 30

x = 15

Answer:

Step-by-step explanation:

x=15

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