What is the value of b for the equation 5^6×5^b=5^12

Answers

Answer 1

Answer:

6

Step-by-step explanation:

[tex]x^y*x^n=x^{n+y}\\6+b=12\\b=6[/tex]

Answer 2

Answer:

6

Step-by-step explanation:

We are given here a exponential equation and we need to find out the value of b in the equation. So the given equation is ,

⇒5⁶ × 5^b = 5¹²

⇒ 5^(6+b) = 5¹² [ using aⁿ × aⁿ' = a^(n + n') ]

On comparing the bases and powers we have ,

⇒ 6 + b = 12

⇒ b = 12 - 6

b = 6

Hence the value of b is 6 .

Related Questions

The equation for the circle is: x2+y2+4x+2y−56=0 . What is the center of the circle? Enter your answer by filling in the boxes.

Answers

Answer:

Step-by-step explanation:

It's x=7.1 plus 22

Answer:

Center: (−2,−1)

Step-by-step explanation:

( use math

way )

is it possible to make a triangle that has the angles measuring 60° 30° and 45°​

Answers

Answer:

No.

Step-by-step explanation:

It is not possible to make a triangle that has the angles measuring 60 degrees, 30 degrees and 45 degrees because the angles of a triangle have to add up to 180 degrees. 30+45+60=135

Therefore, these angles would not measure up to 180 degrees. It is not possible to make a triangle that has these angles. These angles measure up to 135 degrees not 180 degrees.

Given an example of a binomial and an example of a trinomial.

Answers

Answer:

Step-by-step explanation:

A binomial might look like x + 2.  Note how it has two terms.  " bi' " is a prefix meaning " two. "

A trinomial might look like 2x^2 - x + 1.  It has three terms.

Put in order from least to greatest
89.03
98.03
9.83

Answers

Answer:

9.83

89.03

98.03

Step-by-step explanation:

Easy

Please help My brain needs help!

Answers

Answer: c

Step-by-step explanation: there is already 1/4 of the pie and we know that 80 people have chosen 80, so the 3 left have to add up to 240.

There are 60 calico cats at the animal shelter if this represents 30% of the cats in the shelter how many total cats are there

Answers

Answer: 200 cats in total

Step-by-step explanation:

60 calico cats represents 30% of the total cat population in the shelter.

That means that if we find 30% of the total number of cats, the number we will get is 60.

Assuming the total is x, representing this in equation form makes it:

x * 30% = 60

x = 60 / 30%

x = 200 cats in total

Linda is making a quilt for her granddaughter. She bought 3 1/4 yards of fabric. Her total cost was $10. What was the cost per yard?

(Complex fraction)

Answers

Answer:

13 /40

Step-by-step explanation:

Divide

13 over 4

13 /4  ÷ 10 = 13 over ( 4 × 10 )

13  over 4 × 10

= 13 over 40

13 /40

Find the slope of the line that passes through (3, 5) and (8, 1). Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer: Answer is B

Step-by-step explanation:

can someone help me real quick?

Answers

This look hard but I think I can help you hold on brb I have to use the bathroom

What is the value of x to the nearest tenth?
29.6
X
73°
33°

Answers

29.6+73+33=135.6 180-135.6=44.4

If a circle is cut from a square piece of fabric, how much fabric would be leftover? Use 3.14 for pi. (round to nearest hundredth).

Answers

Answer:

0.22 square units

Step-by-step explanation:

Area of the left over fabric = Area of the square piece - Area of the circle

let the side length of the square piece be 1 unit

Area of the square piece = 1 * 1

Area of the square piece = 1 square units

Area of the circle = πd²/4

d is the diameter of the circle = 1 unit (equivalent to the side length of the square)

Area of the circle = π(1)²/4

Area of the circle = 3.14/4

Area of the circle = 0.785square units

Area of the left over fabric = 1- 0785

Area of the left over fabric = 0.215 square units

Hence the amount of fabric that would be leftover is 0.22 square units

Answer:

0.22 square units

Step-by-step explanation:

Hope this helps

What is the value of this expression when X=-1 and Y = 2?
4x3y2

Answers

Answer:

-16

Step-by-step explanation:

4x3y2

replace variables with numbers

4×-1×2×2

-4×4=

-16

Manoj went to the shopping mall and saw the price list in the shoe store as mentioned below in
the table. Then, he decided to buy pair of casual shoes and formal shoes. So, he gave 4 notes of
Rs. 1000. He was returned 5 notes in denominations of Rs. 500 and Rs. 100. How many notes of
Rs. 500 and Rs. 100 did he get? Find out.
Type of Pair of Shoes
Price List
Casual Shoes
Rs.1,300
Formal Shoes
Rs. 1,800
Sports Shoes
Rs. 1,400​

Answers

Answer:

A Rs. 500 note, and four Rs. 100 notes.

Step-by-step explanation:

The cost of the two shoes = Rs.1,300 + Rs. 1,800

                                            = Rs. 3,100

He gave 4 notes of Rs. 1,000 = 4 x Rs. 1,000

                                                 = Rs. 4,000

Manoj's expected change = Rs. 4,000 - Rs. 3,100

                                           = Rs. 900

Since he was returned 5 notes in the denominations of Rs. 500 and Rs. 100, then;

Rs. 500 + Rs. 100 + Rs. 100 + Rs. 100 + Rs. 100 = Rs. 900

Therefore, Manaoj was returned a Rs. 500 note, and four Rs. 100 notes.

8/9÷3= 7/8 1/5 8/27 2/3​

Answers

8/9 divided by 3 = 8/27

have a wonderful day! the steps are down below! :)

Raina has 3 buckets.
She pours a total of 30 liters of water into these buckets.
If every bucket gets the same amount, what is the volume of water in each bucket?

Answers

Answer:

30/3=10

so every bucket gets 10 liters

Step-by-step explanation:

At Super Grocery, strawberries cost $3.00 for 2 pounds. At Value Market, strawberries cost $4.00 for 3 pounds. Which store has a better value for strawberries?

Answers

Answer: Value Market has the better  value for strawberries

Step-by-step explanation: Value Market sells them for 1.3 for 1 pound.

Answer: Uhhhhh

Step-by-step explanation:

Value market has a better value

Measuring the drug use of the residents of a city has always been difficult. In the past, current drug use was estimated from questionnaire responses, but due to the social stigma associated with drug use, a large amount of response bias was known to be present. A proposed method for measuring a city's current drug is to measure the amount of drugs detected in the inflow to the city's wastewater treatment facility. This method was used to compare the Marijuana usage, through the measurement of the active ingredient THC-COOH, of London versus Milan over a 3 week period. Samples were made at randomly chosen times throughout the day for 21 consecutive days in both cities. Units are mg/day/1,000 people. What are the two independent samples

Answers

What answer help me solve

Which statement best describes hopping viewpoint and purpose in this excerpt?

Answers

Answer: Sry but can I see the excerpt. Thanks

Step-by-step explanation:

Answer:

A. edge 2021

mark me brainliest

Find the exact value of each trigonometric function using the unit circle ​

Answers

Answer:

Step-by-step explanation:

8)

co-terminal angle for -960... can you tell me?  :D  w/o looking at my answer below?

Your answer for co-terminal angle is   ______________ :)

960 - 360 = 600

600 - 360 = 240

this is telling us that going in a clock wise direction.. as the -960 is, that the co-terminal angle is 240, which seems about right.. looking at the graph. so now. let's take 240 away from 360 to find that co-terminal angle but going in the positive direction or the counter clock wise direction

360-240 = 120

and yes.. that does look like 120 °  going in the positive direction.  

now do you know the sec identity  to use sin and cos???

look at the below diagram

sin     sec

cos    csc

tan    cot

the trig function line up like that for a reason

sin     1/sin

cos    1/cos

sin/cos   cos/sin

I put them in their sin and cos identities.. see.. they all line up that way

sec = 1/sin

csc = 1/cos

tan = sin/cos

cot = cos/sin

now... find

sec(120) = 1/sin(120)

do you know how to find sin(120) ?????

put it back to it's co-terminal angle in the 1st quadrat... I hope you know how to do this.. i'll just speed along... assuming you do

sin(120) = sin(60)= √3/2

so sec(120) = 1 / √3/2  

so sec(120) = 2/ √3

10)

csc(315) = 1/cos(315)

find the co-terminal angle that you know in the 1st quadrant again...

so 315 = 45 in the 1st quadrant.. I just looked and can see that

so

csc(315) = 1/cos(315   =  1/cos(45)     and cos(45) = √2/2

so then  1 /  √2/2   =   2 / √2

csc(315) = 2 / √2

what i'm really wondering about.. is .. where is question 9)

:DDD

WILL GIVE BRAINLIEST! Please help
Waterbrook Farm Includes 240 acres of cropland. The farm owner wishes to plant this
acreage in both corn and soybeans. The profit per acre in com production is $325 and
In soybeans is $180. A total of 320 hours of labor is available. Each acre of com
requires 2 hours of tabor, whereas each acre of soybeans requires 1 hour of labor.
Lot x = the number of acres planted with corn.
Let y = the number of acres planted with soybeans.

1) What would the farm's profits be if they planted only corn?

2) What would the farm's profits be if they planted only soybeans?

3) Find the equation for the Waterbrook Farm's profit (P = ),

4) Make a system of inequalities based off the constraints of the Farm.

5) In DESMOS. graph the system of inequalities

6) How should the land be divided between the corn and soybeans in order to yield
the mamum profit?

7) What is the maximum profit of planting both com and soybeans for the Farm?

Answers

Answer:

1) $52,000

2) $43,200

3) P = 325 × x + 180 × y

4) x + y ≤ 240

2·x + y ≤ 320

325 × x + 180 × y ≤ 52,000

5) Please find a similar graph created with MS Excel

6) Corn will have 80 acres

Soybean will have 160 acres

7) $54,800

Step-by-step explanation:

The acres of cropland at the Waterbrook Farm, A = 240 acres

The profit per acre in corn production, p₁ = $325

The profit per acre in soybean production, p₂ = $180

The hours of labor required by each acre of corn = 2 hours

The hours of labor required by each acre of soybeans = 1 hours

The number of acres planted with corn = x

The number of acres planted with soybeans = y

1) The farm's profit, 'P', if they planted only corn is P = p₁ × A

∴ P = $325/acre × 320 hours/(2 hours/acre) = $52,000

The farm's profit if they planted only corn, P = $52,000

2) The farm's profit, 'P', if they planted only corn is P = p₂ × A

The required labor for cultivating the 240 acres at 1 hour/acre = 240 hours of labor

Therefore, the labor is sufficient for the entire farmland, we get;

The profit, P = $180/acre × 240 acres  = $43,200

∴ The farm's profit if they planted only soybeans, P = $43,200

3) The equation for the Waterbrook Farm's profit, 'P' can be found, depending on the area of the farm used for the corn and the soybeans as follows;

P = 325 × x + 180 × y

4) The system of inequalities includes;

x + y ≤ 240

2·x + y ≤ 320

325 × x + 180 × y ≤ 52,000

5) Using DESMOS, we have;

The graph of the systems of inequalities is plotted and a graph similar to the attached graph created with MS Excel is found

6) The maximum profit point found using DESMOS is (80, 160)

Therefore, for maximum profit, 80 acres should be used for corn while 160 acres should be used for soybeans

7) The maximum profit of planting both corn and soybeans is found from the profit obtained from the land divided between corn and soybeans in order to yield maximum profit as follows;

P = 325 × 80 + 180 × 160 = 54,800

The maximum profit of planting both corn and soybeans, P = $54,800.

Aisha has an aquarium that can hold 150 cubic feet of water. The aquarium is 3 ft high. Which of the following could be the dimensions of the base​.

A. 4 ft by 12 ft.

B. 5 ft by 12 ft.

C. 6 ft by 7ft.

D. 10 ft by 15 ft

Answers

Answer:

B. 5 ft by 12 ft

Step-by-step explanation:

Volume of the aquarium is approximately 150 cubic feet and its height is 3 feet.

The base area is:

150/3 = 50 square feet

The answer options:

A. 4 ft x 12 ft = 48 sq ft < 50sq ft, noB. 5 ft x 12 ft = 60 sq ft > 50 sq ft, yesC. 6 ft x 7 ft = 42 sq ft < 50 sq ft, noD. 10 ft x 15 ft = 150 sq ft > 50 ft, no as too big

5d + 4 + 2 + - 9 + 3d + 4c

Answers

Answer:

8d + 4c - 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

5d + 4 + 2 + -9 + 3d + 4c

Step 2: Simplify

Combine like terms (d):                                                                                    8d + 4 + 2 - 9 + 4cCombine like terms:                                                                                         8d + 4c - 1

Answer:

8d + 4c - 3

Step-by-step explanation:

5d + 4 + 2 + - 9 + 3d + 4c

5d + 3d + 4c + 4 +2 - 9

8d + 4c - 3

Find the slope of the line that passes through the points (2, 1) and (-4, -5).

Answers

Answer:

The slope is 1

Step-by-step explanation:

(2, 1) and (-4, -5)

Slope:

m=(y2-y1)/(x2-x1)

m=(-5-1)/(-4-2)

m= (-6)/(-6)

m = 1

Answer:

Hi! The answer to your question is [tex]Slope = 1[/tex]

Step-by-step explanation:

[tex]Slope = y2-y1/x2-x1[/tex]

[tex]-5-1/-4-2[/tex]

[tex]= 1[/tex]

[tex]Slope = 1[/tex]

☆*: .。.。.:*☆☆.*: .。..。.:*☆☆*: .。.。.:*☆☆.*: .。..。.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Find the length of the third side. If necessary, write in simplest radical form.
(screenshot provided)
no links please ;')

Answers

Answer:

the length of the third side (the hypotenuse) is 7

Step-by-step explanation:

Solve this by using the Pythagorean Theorem:

(2√10)² + 3² = (hypotenuse)²

Then (hypotenuse) = √(40 + 9) = √49 = 7

Answer:

7

Step-by-step explanation:

2 root 10 ^2 is 40

3 squared is 9

root of 49

3. Find the measure or arc JK.
Hint - arc LK is a semi circle

A.) 90
B.) 116
C.) 128
D.) 130

Answers

Answer:

C

Step-by-step explanation:

KL = 180°

JL = 2×26° = 52°

KL = KJ + JL

KJ = KL - JL

KJ =180° - 52°

KJ = 128°

What is the distance between the following points

Answers

Answer:

5

Step-by-step explanation:

Use pythagorean theorem. The rise is 3 units and the run is 4 unites. Now the length of the line we are trying to find is a hypothenuse(the side opposite of the right angle

If mZADB = 15 then what is m ACB?
A
B
D

Answers

D Do you because you have to get it to equal 15

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 7. If there were 3260 yes votes, what was the total number of votes?

Can whoever answes this please explain how. I'm completely lost.​

Answers

Answer: 8184 votes

i suck at explaining things im sorry but if u have any questions, feel free to ask

Step-by-step explanation:

3260÷5=652

652(7)=4564

3260+4564=8184

Help please I need help

Answers

Answer:

EI SONA

Step-by-step explanation:

help please. it would really help if someone explained

Answers

Answer:

0/8

Explanation:

There is no number greater than 10 on the spinner, so there is a 0/8 chance that the spinner will land on a number greater than 10.
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