z^m-n (z^m+ z^m+n + z^n)
Answer:Your left hand side evaluates to:
m+(−1)mn+(−1)m+(−1)mnp
and your right hand side evaluates to:
m+(−1)mn+(−1)m+np
After eliminating the common terms:
m+(−1)mn from both sides, we are left with showing:
(−1)m+(−1)mnp=(−1)m+np
If p=0, both sides are clearly equal, so assume p≠0, and we can (by cancellation) simply prove:
(−1)(−1)mn=(−1)n.
It should be clear that if m is even, we have equality (both sides are (−1)n), so we are down to the case where m is odd. In this case:
(−1)(−1)mn=(−1)−n=1(−1)n
Multiplying both sides by (−1)n then yields:
1=(−1)2n=[(−1)n]2 which is always true, no matter what n is
When 2(3/5x+2 3/4y- 1/4x -1 1/2y+3) is
is simplified, what is the resulting expression?
In the sketch below, two parallel lines are cut by a transversal.
Answer:
m<1 = 150°
Step-by-step explanation:
Given:
m<1 = (4x + 50)°
m<2 = (7x - 25)°
Required:
m<1
Solution:
To find m<1, we need to create an equation that will enable us determine the value of x.
Thus,
4x + 50 = 7x - 25 => corresponding angles are congruent to each other
4x + 50 - 7x = 7x - 25 - 7x (subtraction property of equality)
-3x + 50 = - 25
-3x + 50 - 50 = -25 - 50 (substraction property of equality)
-3x = -75
-3x/-3 = -75/-3 (division property of equality)
x = 25
✅m<1 = (4x + 50)°
Plug in the value of x
m<1 = 4*25 + 50 = 100 + 50
m<1 = 150°
Paul has a pocket full of 150 coins containing pennies, nickels and dimes. If 24% of his coins are pennies, and 51 of his coins are nickels, how many dimes does he have?
Answer:He has 63 dimes
Step-by-step explanation:
Hope this helps!
24% of 150=36
51+36=87
150-87=63
Raul wants to buy a new bike from a store having a 10% off sale on
all bikes. The bike he wants has a sale price of $135. Write and solve
an equation to find the original price, b, of the bike.
by
Answer:
p = $150
Step-by-step explanation:
Let p represent the original price. Then 10% of that is the discount: 0.10p.
The price after discount is 90% of the original price, or (1.00-0.10)p = 0.90p = $135. We next solve this equation for p: 0.90p = $135, or p = $150.
Compare the fractions using the LCM.
3/5 and 1/4
Answer:
20
Step-by-step explanation:
The difference between x and 8 is equal to 15
Answer:
x = 23
Step-by-step explanation:
15 + 8 is 23 so x = 23
The temperature at noon is 7 less than twice the temperature at 6:00 a.m. At noon it is 61 degrees. The temperature at 6:00 a.m. is t degrees. what is the temperature at 6:00 a.m.?
Answer:
34 degrees
Step-by-step explanation:
The equation that represents this situation is
2t - 7 = 61
to solve, start by adding 7 to both sides
2t = 68
then divide both sides by 2
t = 34
The time it takes to drive to Myrtle Beach varies inversely with the speed you drive. If it takes you 4 hours to reach Myrtle Beach when driving at a speed of 60 mph, how much time would it take if you drove at a speed of 80 mph?
If you drove at 80mph it would take you approximately 3 hours
This is because 60 is 75% of 80 and 3 hours is 75% of 4 hours.
25% of 4 hours is 1 hour
4 hours - 1 hour = 3 hours
Michael has $1,076.98 in his checking account. He is going to spend $536.32 on a new television, and he will spend the rest on
speakers that cost $47.00 each. Which of the following inequalities would determine the maximum number of speakers, x, Michael
can buy without spending more money than he has in his account?
Answer:
11
Step-by-step explanation:
Memorial Day Spending The National Retail Federation conducted a national randomly-selected survey of 8,526 consumers on September 1-9, 2009 asking households how much they plan to spend on Memorial Day. I would like to know if the average amount households planned to spend on Memorial Day is less than $57. What are the observational units
Answer:
households
Step-by-step explanation:
An observational units are defined as the entity for which the information is received and the statistics are compiled of in the process of collecting the statistical data. It is also known as the statistical unit.
In the context, National Retail Federation is conducting a survey asking various households how much they are planning to spend on the memorial day. So the observational units in this study are the household because the information are collected on the basis of each household going to spend on the Memorial day.
The observational units in this will be households.
What will be the observational unit?An observational unit is defined as the entity for which the data is received and the statistics are collected in the process of collecting the statistical data. It is also known as the statistical unit.
In this context, National Retail Federation is executing a survey asking various households how much they are planning to spend on memorial day.
So the observational units in this study are the household because the information is gathered on the basis of each household going to expend on Memorial day.
Thus the observational units in this will be households.
To know more about Observation follow
https://brainly.com/question/25843544
What is the area of the triangle at the right?
Answer:
13.16
Step-by-step explanation:
formula= (absin∅)/2
= (4×9×sin47)/2
= 13.16
I need help please asap
Answer:
Part B
How does this change in setting affect Miguel? Choose two answers.
A.
Miguel asks his mom if he can transfer to a different middle school.
B.
Miguel becomes a more focused student.
C.
Miguel begins to struggle in his Language Arts class as well.
D.
Miguel makes a new friend.
Step-by-step explanation:
Use the Distributive Property to
REWRITE 5(p - 8)
Solve the exponential equation.
(½)x = 32
-5
1/5
-1/5
Answer:
-5
Step-by-step explanation:
(1/2)^x=2^-x
32=2^5
2^-x=2^5
-x=5
x=-5
Answer:Answer:
-5
Step-by-step explanation:
(1/2)^x=2^-x
32=2^5
2^-x=2^5
-x=5
x=-5
Step-by-step explanation:
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What is the slope of a line that includes the points (-4,1) and (10,-6)?
Answer:
[tex]\frac{-1}{2}[/tex]
Step-by-step explanation:
Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]
insert points
[tex]\frac{1-(-6)}{(-4)-10}[/tex]
solve
[tex]\frac{7}{-14}[/tex]
[tex]\frac{-1}{2}[/tex]
4. Write an equation of a line that passes
through the points (-5, -11) and (-2,1).
Answer:
y=4x+9
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(1-(-11))/(-2-(-5))
m=(1+11)/(-2+5)
m=12/3
m=4
y-y1=m(x-x1)
y-(-11)=4(x-(-5))
y+11=4(x+5)
y=4x+20-11
y=4x+9
what is 3p-5= -44
can anyone answer this
Hellppp plzzz !!!! I will mark Brainly edit
Answer:
12
Step-by-step explanation:
Answer:
12
Hope this helps! Have a nice day!
You deposit $2700 in an account that pays 3% annual interest compounded weekly. How much money is in the account after 5 years?
Answer:
A = $3136.86
Step-by-step explanation:
Given the following data;
Principal = $2700
Interest rate = 3% = 3/100 = 0.03
Number of times = 52
Time = 5 years
To find the future value, we would use the compound interest formula;
[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
Substituting into the equation, we have;
[tex] A = 2700(1 + \frac{0.03}{52})^{52*5}[/tex]
[tex] A = 2700(1 + 0.0005769)^{260}[/tex]
[tex] A = 2700(1.0005769)^{260}[/tex]
[tex] A = 2700(1.1618)[/tex]
A = $3136.86
If 5 hamburgers cost $10, what is the cost for 3 hamburgers?
Answer: 6$
Step-by-step explanation: 5 divided by 10 = 2$ so 3 x 2 = 6
I do not hold responsibility if you get it wrong :(
5. The vertices of a parallelogram on a cartesian plane are as follows; (1,4),
(2, 2), (6,3), and (5,5). Find the measure of the longest diagonal.
Answer:
idontknow
Step-by-step explanation:
Answer:
first you need to understand what is a diagonal then if you understand them you can use the opposite coordinates to calculate the diagonals using the distance formula for example [tex] [/tex][tex]d = \sqrt{(x - x) { }^{2} } + \sqrt{(y} - y) {?}^{2} [/tex]then after that you will subtitute the for x of opposite vertices same for y make sure if you get an answer you take a positive square root if i a rootThe penguin exhibit at a zoo has a raised circular island that is surrounded by water. The diameter of the island is 20 \text{ meters}20 meters20, start text, space, m, e, t, e, r, s, end text. One penguin swims half way around the island before hopping out.
How far did the penguin swim?
Give your answer in terms of pi.
9514 1404 393
Answer:
10π meters
Step-by-step explanation:
The circumference of the island is given by the formula ...
C = πd
where d represents the diameter of the circle.
Halfway around is half the circumference, so the distance the penguin swam is ...
1/2C = (1/2)π(20 m) = 10π m
The penguin swam 10π meters.
Answer:
10pi
Step-by-step explanation:
The circumference of the island is given by the formula ...
C = πd
where d represents the diameter of the circle.
Halfway around is half the circumference, so the distance the penguin swam is ...
1/2C = (1/2)π(20 m) = 10π m
giving brainliest *easy*
Answer:
Think it 89mm
Step-by-step explanation:
Please helpppppppppp
Answer:
77 cubed in.
Step-by-step explanation:
I think it is 77 cubed inches because the formula is V-bh
help me please if you know the answer
Answer:
D as 32 divided by 8 is 4
Step-by-step explanation:
A quotient is a result obtained by dividing one quantity by another.
Answer:
The second choice is the correct answer. d/8=4
Step-by-step explanation:
if something is a quotient it means it is the solution of a division problem. So we know it cant be the first. the last one doesn't make sense because it says that 8 and a number d equals 4 so it cant be that 8*4=d. that also goes for the third problem because it has to equal 4 and that equals d not 4.
To find this out we see that because it is the quotient of a number and 8 is 4, that means that we have to have a number divided by 8, the only one with that is the second one.
2. The amount of sap that is collected from
six sugar maples from a 12-acre forest of
sugar maples that are being tapped.
Population:
Sample:
how many miles can u drive in 1 hour
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A N S W E R
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It depends on the speed the car is going. If you are going 1 MPH you will drive a single mile per hour, but 2 MPH is 2 miles per hour. That's where the term "MPH" comes in, it tells you how many miles you will be driving per hour.
MPH = Miles Per Hour
Hope this helped, love! ✩ ✩ ✩
given that a>0 compare a+20/40 and a+10/20
Answer:
a+20/40 < a+10/20
Step-by-step explanation: