If (m+n)^2=m^2+n^2, what is (3^m)^n?

Answers

Answer 1

Answer:

[tex](3^m)^n=1[/tex]

Step-by-step explanation:

[tex](m+n)^2=m^2+n^2\\m^2+2mn+n^2=m^2+n^2\\(m^2+n^2)-(m^2+n^2)+2mn=0\\2mn=0\\This\ equation\ has\ two\ solutions\ : m=0,n=0\\\\But\ either\ way\ will\ result\ in\ the\ same\ answer.\\If\ m=0\ then,\\(3^0)^n\\=1^n\\=1\\\\If\ n=0 \ then,\\(3^m)^0\\=1[/tex]


Related Questions

Convert 2y-13=4x to slope intercept form

Answers

2y=4x +13
Y=2x +6.5
Answer y=2x + 6.5

Consider the function f(t) = StartRoot 3 t minus 9 EndRoot. You cannot take the square root of a negative number, so 3t – 9 must be zero.

Answers

Answer:

Greater than or equal to

Step-by-step explanation:

Answer:

1. Consider the function f(t) = .You cannot take the square root of a negative number, so 3t – 9 must be ____ to zero.

answer: C. greater thanless than or equal to✔

2. Set up an inequality showing that the radicand cannot be negative.

answer: A. 3t-9≥ 0

3.What is the domain of the function?

answer: D. Domain: t ≥ 3

hope this helps :)

A fireman is on the middle step of a ladder. (There are the same number of steps above him as below him.) If he goes down 4 steps, then up 7 steps, and then down 13 steps, he will be on the first step above the ground. How many steps does the ladder have?​

Answers

Answer:

The ladder has 20 steps

Step-by-step explanation:

10 is the direct middle if you go down 4 that is 6, if you go back up 7 you get 13 and if you go back down 13 and you are on the first step 13-13 is 0, so the ladder has 20 steps.

slope word propblem for slope

Answers

Answer:

the answer is d(the last one

Step-by-step explanation:

160+25m=40+65m

the sign up fee plus how much each month

Which of the following numbers is irrational?
Select all that apply.
36
25
149
15
13

Answers

Answer:

The answers are 149,15,and 13.

Step-by-step explanation:

Here's why.....The square root of 149 continues after the decimal and so does 15 and 13.

Stephanie grew a total of 70 pounds of tomatoes to sell. She plans to sell the tomatoes for $3.50 per pound. The equation below represents the profit in dollars, f(x), she will earn by selling x pounds of the tomatoes.

f(x) = 3.50x - 110

If Stephanie sold all 70 pounds of tomatoes, what would her profit be?

Answers

Answer:

If Stephanie sold the 70 pounds of tomatoes, her profit would be 135 dollars.

Step-by-step explanation:

You know that the equation f(x) = 3.50*x - 110 represents the profit in dollars Stephanie will earn by selling x pounds of the tomatoes.

If Stephanie sold the 70 pounds of tomatoes, you want to know what the profit would be. So to calculate the profit you simply replace in f (x), the x pounds of tomatoes by 70.

f(70)=3.50*70 - 110

Solving:

f(70)= 245 - 110

f(70)= 135

If Stephanie sold the 70 pounds of tomatoes, her profit would be 135 dollars.

A train travels 120 km in 2 hours. What is its average speed?

Answers

Answer:

It's speed is 48 km/hr.

Note: The term "average speed" is only used when there are 2 or more given speeds.

Step-by-step explanation:

I need it now plzs

Felipe sold t-shirts and hats at a festival. He made a $5 profit for each t-shirt he sold. He also made a profit of $40 from selling hats. If he made a total profit of $125, how many t-shirts did he sell?

Answers

Answer:

17 t-shirts sold

Step-by-step explanation:

If we assume that we don't need t find the number of hats, then we can say that the profit from -tshirts would be $125 minus 40 or $85

Then we can write the following equation of x is the number of t-shirts:

5x = 85

If we solve by diving both sides of the equation by 5:

5x/5 = 85/5

x = 17 t-shirts sold

9+3.5g=11−0.5g i need this anwser plz help

Answers

Answer:

g = 1/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

9 + 3.5g = 11 - 0.5g

Step 2: Solve for g

Add 0.5g on both sides:                    9 + 4g = 11Subtract 9 on both sides:                  4g = 2Divide 4 on both sides:                      g = 1/2

Step 3: Check

Plug in g into the original equation to verify it's a solution.

Substitute in g:                    9 + 3.5(1/2) = 11 - 0.5(1/2)Multiply:                               9 + 1.75 = 11 - 0.25Add/Subtract:                      10.75 = 10.75

Here we see that 10.75 does indeed equal 10.75.

∴ g = 1/2 is a solution of the equation.

Answer: g= 0.5

Step-by-step explanation:

Add

3.5g and 0.5g. to get

9+4g=11

then subtract 9 from the 11 and you should get 4g=2.

then divide 4 from 2 and you should get the answer of 2/4.

simplify it and you should get the answer g=0.5

I’m pretty bad at math :/ cam ya;; help its due today/ What is the slope of the line represented by

y= 12+ 1/2x ?

Answers

Answer:

1/2 (1 , 2)

Step-by-step explanation:

the number before the variable is the slope

What is the valur of y in the equation 2(3y - 6) = 0?​

Answers

2 because the difference in the equation must equal 0 so it must equal 6 so 6/3 is 2. Therefore the answer is 2

Answer:

y=2

Step-by-step explanation:

Distribute the 2 into 3y and -6:

6y-12=0

Move the -12 to the other side by adding both sides by 12:

6y-12+12=0+12

=

6y=12

divide both sides by 6:

y=2

HELP ASAP ILL GIVE BRAINLIEST!!!

Answers

Answer:

4*sqrt 10

Step-by-step explanation:

5-1=4

6--6=12

12^2 + 4^2 = 160

sqrt 160 = 4*sqrt 10

4*sqrt10

Which inequality is graphed on the coordinate plane?

Answers

Answer:

E is the answer

Step-by-step explanation:

Plzzzzzzzz helpe out​

Answers

Answer:

[tex]\frac{cos-sin^{2}+1 }{sin(1+cos)}\\\\=\frac{cos - sin^{2}+sin^{2}+cos^{2} }{sin(1+cos)}\\\\=\frac{cos+cos^{2} }{sin(1+cos)}\\\\=\frac{cos(1+cos)}{sin(1+cos)}\\\\=\frac{cos}{sin}\\\\=cot[/tex]

( 1 = sin² + cos²)

Step-by-step explanation:

Answer:

Sorry i don't understand

Which function is equivalent to 3x^2+x-10

A. f(x)=(3x+5)(x-2)
B. f(x)=(3x+5)(x+2)
C. f(x)=(3x-5)(x-2)
D. f(x)=(3x-5)(x+2)​

Answers

Answer:

d

Step-by-step explanation:

Lynn’s father is paying a $20 meal he has 15% off coupon for the Meal after the discount is 7% sales tax is applied what does Lynn father pay for them and explain or show your reasoning

Answers

Answer:

54

Step-by-step explanation:

3 is 5% of what number?

Answers

Answer:

60

Step-by-step explanation:

if 3 represents 5% and we know 5%*20 =100% then

3*20=60 represents 100%

For the complex number z = StartFraction 5 StartRoot 3 EndRoot Over 4 EndFraction minus StartFraction 5 Over 4 EndFraction i ,what is the polar form?


correct one - A.) z = five-halves (cosine (StartFraction pi Over 6 EndFraction) + I sine (StartFraction pi Over 6 EndFraction)

B.) z = five-fourths (cosine (StartFraction pi Over 6 EndFraction) + I sine (StartFraction pi Over 6 EndFraction)

- C.) z = five-halves (cosine (StartFraction 11 pi Over 6 EndFraction) + I sine (StartFraction 11 pi Over 6 EndFraction)

D.) z = five-fourths (cosine (StartFraction 11 pi Over 6 EndFraction) + I sine (StartFraction 11 pi Over 6 EndFraction)

Answers

Answer:

its D

Step-by-step explanation:

Answer: Its C, z = 5/2 (cosine( 11pi/ 6) + i sine (11pi/6)

Step-by-step explanation: Got it right on edge

At a football stadium, 5% of the fans in attendance were teenagers. If there were 10 teenagers at the football stadium, what was the total number of people at the stadium?

Answers

Answer:

200 people were at the stadium

Step-by-step explanation:

Let us represent the total number of people at the stadium = x

At a football stadium, 5% of the fans in attendance were teenagers. If there were 10 teenagers at the football stadium

Hence:

5% of total number of people = 10 teenagers

5/100 × x = 10

5x/100 = 10

Cross Multiply

5x = 100 × 10

5x = 1000

Divide both sides by 5

5x/5 = 1000/5

x = 200

The total number of people in the stadium is 200

Given the exponential function f(x) = 16(0.75)x, classify the function as exponential growth or decay and determine the percent rate of growth or decay.

Exponential growth, 75% increase
Exponential decay, 75% decrease
Exponential growth, 25% increase
Exponential decay, 25% decrease

Answers

Answer:

So the rate of decay is 0.25, or 25%.

Step-by-step explanation:

The variable r gives the rate of decay in the formula f(x) = P(1 − r)x = 16(1 − 0.25)x.

Answer:

Exponential decay, 75% decrease

Step-by-step explanation:

took the test

How do you find the degree of a polynomial function/ graph in algebra 2??

Answers

Answer:

which way are the arrows facing on the graph? How many times does the fuction change directions?

Step-by-step explanation:

if arrows are going in same direction, degree is even and then count the number of direction changes for exact number

if arrows are going in opposite directions, degree is odd and then count direction changes

On Thursday the basketball coach ordered 12 pizzas for 36 players who came in for practice. How many pizzas does the coach need to order if 12 players turned up for practice the next day

Answers

Answer:16

Step-by-step explanation:Next day there will be (36+12) or 48 players.

For 36 players 12 pizzas are needed

For 1 player 12/36 pizzas are needed

For 48 players 12/36*48 or 16 pizzas are needed

The number of pizzas that 12 players will need is 4 based on the given ratio.

What are the ratio and proportion?

The ratio is the division of the two numbers.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

The ratio of pizza to players = 36/12

With the same ratio,

The number of pizzas required for x number of 12 players,

12/x = 36/12

x = 144/36 = 4

Hence "Based on the above ratio, 12 players will require 4 pizzas.".

For more information about ratios and proportions,

brainly.com/question/26974513

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Isadora rents an apartment for $1,000 a month and has a year's lease.
She owns a car that is worth $14,700. She has a savings account of $4,750 and a
credit card balance of $825. What is her net worth?

Answers

Step-by-step explanation:

So let's say this is for the year and were working out the amount she spent.

She starts off with paying $1,000 for rent.

Then she owns a car that is $14,700.

Her savings account is 4,750 and Credit card balance is 825{not sure if that's what she is has to spend or if its tax so I'll do two ways}.

1,000

4,750

825

+14,700

21325

Her total would be $21,325 taking it that 875 was a tax.

if not the answer would be $20,450.

if the car does not have a tax just minus the 14,700 from either of them two numbers.

Amount of Isadora's net worth is $6,625.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To find Isadora's net worth, we need to subtract her total debts from her total assets.

So,

Her total assets.

Car worth = $14,700

Savings account balance = $4,750

So, her total assets.

= $14,700 + $4,750

= $19,450

Her total debts.

Credit card balance = $825

Monthly rent for 1-year lease = $1,000 x 12 = $12,000

So, her total debts.

= $825 + $12,000

= $12,825

To find her net worth, we subtract her total debts from her total assets.

So,

Net worth = Total assets - Total debts

Net worth = $19,450 - $12,825

Net worth = $6,625

Therefore,

Isadora's net worth is $6,625.

Learn more about expressions here:

https://brainly.com/question/3118662

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The ratio of apples to oranges is 4:3. If there are 16 apples, how many total fruits were there?

Answers

Answer:

There are a total of 28 fruits.

Step-by-step explanation:

4 in the ratio is 16. And the unit rate of it is 4. You multiply 3 by 4 which equals 12. 16+12=28.

Suppose $P$ is the point $(5,3)$ and $Q$ is the point $(-3,6)$. Find point $T$ such that $Q$ is the midpoint of segment $\overline{PT}$.
help qwikly

Answers

Answer:

(1,4.5)

([tex]\frac{5+(-3)}{2} ,\frac{3+6}{2}[/tex])

) 10 counters in a bag. 4 red, 3 green, 2 pink and 1 blue. Ella picks a counter at random from the bag, notes the colour and then puts it back in the bag. a) Ella uses this method to work out the probability of selecting 2 greens in a row. She writes: "There are four colours, so the probability of selecting a green is 1 4 + 1 4 = 2 4 , so the probability is 1 2 ." a) Make two criticisms of Ella's method. b) Calculate the probability of selecting two counters of the same colour. (

Answers

Answer:

a) i) The probability depends on the total number of counters not on the number of colors.

  ii) There are 10 number of counters not 4

b) [tex]\dfrac{3}{10}[/tex]

Step-by-step explanation:

Given that:

Total number of counters in a bag = 10

Number of red counters = 4

Number of green counters = 3

Number of pink counters = 2

Number of blue counters = 1

a) Ella writes: "There are four colors, so the probability of selecting a green is [tex]\frac{1}4 + \frac{1}4 = \frac{2}4[/tex] , so the probability is [tex]\frac{1}2[/tex]"

Ella has considered the total type of counters here, which is 4.

But Ella must have considered total number of counters which is 10.

  i) The probability depends on the total number of counters not on the number of colors.

  ii) There are 10 number of counters not 4

b) There are 4 colors in the bag.

Formula for probability of an event E can be observed as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

To select 2 counters of the same color:

[tex]P(2\ red) = \dfrac{4}{10}\times \dfrac{4}{10} = \dfrac{16}{100}[/tex]

[tex]P(2\ green) = \dfrac{3}{10}\times \dfrac{3}{10} = \dfrac{9}{100}[/tex]

[tex]P(2\ pink) = \dfrac{2}{10}\times \dfrac{2}{10} = \dfrac{4}{100}[/tex]

[tex]P(2\ blue) = \dfrac{1}{10}\times \dfrac{1}{10} = \dfrac{1}{100}[/tex]

The required probability will be the sum of all 4 above probabilities:

[tex]P(2\ of\ same\ color) = \dfrac{30}{100} = \bold{\dfrac{3}{10} }[/tex]

this figure shows a right prism with a trapezoidal base, what is the sum of the areas of the four lateral (rectangular) faces of the prism in cubic centimeters unit?​

Answers

Step-by-step explanation:

the answer is 54 cm

plzzzz mark me brainliest

The perimeter of a rectangle is 36 cm. The length is 10 cm longer than the
width. What are the length and width of the rectangle?

Answers

Answer:

Below

Step-by-step explanation:

X(x+10)=36

x= -5+sqrt 61 or-5-sqrt 61

since only the first one bigger than0, x is -5+sqrt61 and other side is sqrt61+5

A function is a relationship between two quantities, called the ___ and the ___?

Answers

Answer:

domain and the range

Step-by-step explanation:

(6x+1)+(-6x+1)=0

What property is this

Answers

Answer:

i believe this is the distriputive property

Step-by-step explanation:

hope this helpss

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