Answers
Answer:
(5m^32 -9n^8) (5m^32 +9n^8)
Step-by-step explanation:
[tex]25m^{64}-81n^{16}\\\\\mathrm{Rewrite\:}25m^{64}-81n^{16}\mathrm{\:as\:}\left(5m^{32}\right)^2-\left(9n^8\right)^2\\\\=\left(5m^{32}\right)^2-\left(9n^8\right)^2\\\\\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}\\x^2-y^2=\left(x+y\right)\left(x-y\right)\\\\\left(5m^{32}\right)^2-\left(9n^8\right)^2=\\\left(5m^{32}+9n^8\right)\left(5m^{32}-9n^8\right)[/tex]
Related Questions
A plane traveled 696 miles each way to New York City and back. The trip there was with the wind. It took 6 hours. The trip back was into the wind. The trip back took 12 hours. What is the speed of the wind?
A. Wind is 29 mph
B. Wind is 87 mph
C. Wind is 46 mph
D. Wind is 15 mph
Answers
Answer: A. Wind is 29 mph
Step-by-step explanation:
We can define:
Sp = speed of the plane
Sw = speed of the wind.
When the plane travels in the same direction that the wind flows, we can write the total speed as:
S = Sp + Sw
And when the plane travels against the flow of the wind, we can write:
S = Sp - Sw.
Now, we have the relation:
Distance = Speed*Time.
We know that:
Distance = 696 mi.
"The trip there was with the wind. It took 6 hours. "
then:
696mi = (Sp + Sw)*6h
"The trip back was into the wind. The trip back took 12 hours."
696mi = (Sp - Sw)*12h.
Then we have the system of equations:
696mi = (Sp + Sw)*6h
696mi = (Sp - Sw)*12h.
First, let's isolate one of the variables in one of the equations, i will isolate Sp in the first eq:
696mi/6h = Sp + Sw
116 mph - Sw = Sp.
Now we can replace this into the other equation:
696mi = (116mph - Sw - Sw)*12h
Let's solve this for Sw, that is the value that we want to find:
696mi/12h = (116mph - 2*Sw)
58mph - 116mph = -2*Sw
-58mph/-2 = Sw = 29mph.
The correct option is A.
if (5^0)^x =1 what are the possible values for x?
Answers
Answer:
x can be any real value
Step-by-step explanation:
(5^0)^x =1
We know that a^ b^c = a^ ( b*c)
5^(0*x) =1
5^0 =1
1=1
It doesn't matter the value of x because 0*x =0
x can be any real value
The control group in an experiment is the group that did not have a variable changed.
A False
B True
Answers
true.
two nonadjacent angles formed by two intersecting lines are
Answers
Two non-adjacent angles formed by two intersecting lines are vertical angles.
How to classify angles given by intersecting lines?
Below you can see a graph with two intersecting lines where 4 angles are formed.
There are two pairs of angles.
Adjacent angles, such that their sum is equal to 180°.Non-adjacent angles (also called vertical angles).In the image:
1-22-33-44-1Are adjacent.
1-32-4Are vertical.
If you want to know more about angles, you can read:
https://brainly.com/question/14362353
Please help will.gibe brainliest !!!
Answers
Answer:
Please give brainliest
Step-by-step explanation:
1. 0, 121, 8
2. 121, 8
3. 121, 8
You have $135 in a savings account and save $12 per week. Your friend has $95 in a savings account and saves $20 per week. How many weeks will it take for you and your friend to have the same balance?
Answers
Answer:
It will take 5 weeks for you and your friend to have the same balance
Step-by-step explanation:
Let
Your savings expression be
135 + 12x
Your friends savings expression
95 + 20x
Where,
x = number of weeks for you and your friend to have the same balance
Equate the two expressions
135 + 12x = 95 + 20x
Collect like terms
135 - 95 = 20x - 12x
40 = 8x
Divide both sides by 8
40/8 = x
x = 40/8
= 5
x= 5 weeks
Check
Your savings expression
135 + 12x
135 + 12(5)
=135 + 60
= $195
Your friends savings expression
95 + 20x
95 + 20(5)
= 95 + 100
= $195
Therefore, It will take 5 weeks for you and your friend to have the same balance
Write interval notation of the given number line.
-3 -2 -1 0 1 2 3 4 5
Answers
Answer:
(0,3]
Step-by-step explanation:
You put ( when the number is included and ] when the number isn't included. So 0 is included and 3 isn't.
1. Combine like terms: 4b + 75 = 983 2. Use the subtraction property of equality: 4b = 908 3. Use the division property of equality: b =
Answers
Answer:b=227
Step-by-step explanation:
Answer:
yes the person above me is correct it is 227
Step-by-step explanation:
X + 16 at X= 4
20
21
15
Answers
Answer:
The answer would be 20
Step-by-step explanation:
16+4=20
Answer:
20
Step-by-step explanation:
Jenae works at a clothing store and gets a bonus at $10 a month, plus $0.50 every time she sells the item of a month. Every costumer compliments her service to the mangers, she gets a $2 bonus. If jenae sold the item of the month 17 time and reciuved 2 costomer compliments. What will her bonus be this month
Answers
Answer: Jenae will get $22.50 at the end of the month
Step-by-step explanation:17*0.50=8.50
2*2=4
8.50+4=12.50
12.50+10=22.50
Answer:
$22.50
10 + 0.5 (17) + 2 (2)
10 + 8.5 + 2 (2)
10 + 8.5 + 4
22.50
4b+5=1+5b what does b equal
Answers
Answer:
b=-1
Step-by-step explanation:
1+5b=4b+5
-4b -4b
1+4b=5
-4b -4b
1=4b+5
-5 -5
-4 = 4b
b=-1
sorry i made a mistake this could've been shorter but :D
if y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of y when x is 11?
Answers
Answer:
39,6
Step-by-step explanation:
[tex] \frac{5}{11} = \frac{18}{y} [/tex]
= 18 x 11
= 198
= 198 ÷ 5
= 39,6
The answer is 39,6
there are 60 rooms in a building. 1/4 of the rooms are for management. 1/2 of the rooms are for sales. the rest is for warehouse workers. How many rooms are used for warehouse workers?
Answers
Answer:
1/4 is used for warehouse workers.
Step-by-step explanation:
If 1/4 is used for management and 1/2 are used for sales, together, that's only a total of 3/4 leaving 1/4 left for warehouse workers.
Hope this helps.
Answer:
15 rooms (1/4)
Step-by-step explanation:
No of rooms for the management: 60 × 1/4 = 15
No of rooms for the sales: 60 × 1/2 = 30
No of rooms for warehouse workers: Total rooms - (No of rooms for the management + No of rooms for the sales)
= 60 - (15 + 30)
= 60 - 45
= 15
The number of rooms for the warehouse workers is 15 (which is 1/4 of the total number of rooms).
A model car is built on a scale of 1:43.
The model is 11 centimetres long.
How long, in metres, is the real car?
Answers
Answer:
4.83 m
Step-by-step explanation:
Given:
Model : car = 1 : 43Model = 11 cmCar = ? mSolution:
11 : x = 1 : 4311*43 = x*1x = 483 cm x = 4.83 m4.83
i hope this helped
Step-by-step explanation:
If triangle ABC is reflected over the y-axis which point(s) will be their own image(s)?
Answers
Answer:
Please read the explanation!
Step-by-step explanation:
Hi! I will try to do my very best with helping you. Because there is not an example that goes along with this question, I will give my own.
Lets say we have triangle ABC in quadrant II. The Points are:
A: (-5,1)
B: (-3,5)
C: (-1,1)
If we plot that than we have a triangle. And when we reflect anything, not just a triangle, we would need to basically flip it over and mirror the image. The triangle will move, but it is the same triangle as it was before. All that has happened is that is was married to the otherside.
If you are a bit confused think of when you are in front of a mirror.
So let's reflect it over the y-axis.
When in doing so, you need to make sure that the x in (x, y) is changed into a positive number. We need to make sure that we know that quadrant I has positive x-axis.
So,
A becomes (5,1)
B becomes (3,5)
C becomes (1,1)
And if you plot that it should be flipped or reflected like a mirror image.
I really hope this helped!
I need help can someone help me please
Answers
Answer:
ok
Step-by-step explanation:
1) [tex]\frac{3}{2} \\[/tex] = 1.5 because the numerator goes int the denominator 1 time and then you ahve left over [tex]\frac{1}{2}[/tex] which is .5 .
2) [tex]\frac{5}{2}[/tex] = 2.5 because the 5 goes into the denominator 2 times and then you have left over .5 .
3) [tex]\frac{1}{4}[/tex] = .25 because a 1 is divided by 4.
4) [tex]\frac{1}{2}[/tex] = .5 ; a 1 is divided by 2
5) [tex]\frac{3}{4}[/tex] = .75 because you have .25 x 3 .
6) [tex]\frac{1}{5}[/tex] = .2 because it is 1 divided by 5
7) 0.04 + 4.1 = 4.14
8) 6.93 - 1.2 = 5.73
Hello, what's 9+10^2+25=???
Answers
Step-by-step explanation:
Hey there!!
Simply add all,
[tex] = 9 + {10}^{2} + 25 [/tex]
[tex] = 9 + 100 + 25[/tex]
[tex] = 134[/tex]
Or, if you are asking about what are these numbers then, simply they are the sum of sqaure number of 3, 10 and 5.
Hope it helps....
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \bold{ \sf{134}}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{9 + {10}^{2} + 25}[/tex]
Evaluate the power : 10²
[tex] \dashrightarrow{ \sf{9 + 10 \times 10 + 25}}[/tex]
[tex] \dashrightarrow{ \sf{9 + 100 + 25}}[/tex]
Add the numbers: 9 , 100 and 25
[tex] \dashrightarrow{ \sf{134}}[/tex]
Hope I helped!
best regards! :D
A company owns two manufacturing plants with daily production levels of 8x + 17 widgets and 5x - 7 widgets, where x represents a minimum quantity. How many more items does the first plant produce daily than the second plant?Immersive Reader
Answers
Answer:
3x + 24
Step-by-step explanation:
Given that;
Company owns two manufacting plants with the following daily production levels :
PLANT A:
8x + 17 widgets
PLANT B:
5x - 7 widgets
Where x = minimum quantity
How many more items does the first plant produce daily than the second plant?
Subtract the Plant B's production level from plant A
8x + 17 - (5x - 7)
8x + 17 - 5x + 7
Collecting like terms
8x - 5x + 17 + 7
3x + 24
Hence, the number of items the first plant produce daily than the second plant is :
3x + 24
The radius of a circle is 3 millimeters. What is the circle's circumference?
r=3 mm
Use 3.14 for .
Answers
Answer: bro it’s
18.84
Step-by-step explanation:
HELP!!!!! Will give out brainliest
Answers
Hope this can help.
Solve for x: -32x + 6 = -12 (1 point)
a
x = 1 and x = 5
Ob
x = -1 and x = -5
С
x = -9 and x = 3
No solution
Answers
Answer:
none of the above solutions
Step-by-step explanation:
-32x+6=-12
-32x=-12-6
-32x=-18
divide both sides by 18x=16/9
Pls halp due today >_<. Thank you!
Answers
There are 7 days in a week, using this you can fill out the table.
If you have questions, feel free to add a comment to this answer.
Hope this helps.
頑張って!
If -5 > a and a > b then -5 is *
Answers
Answer:
greater than b
Step-by-step explanation:
We can use the transitive property for this answer. The transitive property states that if A=B, and B=C, A will always be equivalent to C. Similarly in this equation, -5 is greater than a, and a is greater than b, so -5 must be greater than b.
can anybody help me out thanks I'm having trouble
Answers
Answer:
b
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
theres a test that was like this one that i tookk
A strand of hair grows at a constant rate of
a
inch per month. A different strand of hair grows
at a constant rate of 4 inches per year. Is this a proportional relationship, why or why not.
Answers
Answer:
No
Step-by-step explanation:
In a single year, there are 12 months. 1 month=1 inch.
12 x 1 inch is 12 inches.
12 is greater than 4, so the answer is not a proportional relationship.
12 is greater than 4, so the answer is not a proportional relationship.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
A strand of hair grows at a constant rate of 1 inch per month.
In a single year, there are 12 months. 1 month = 1 inch.
12 x 1 inch is 12 inches.
A different strand of hair grows at a constant rate of 4 inches per year.
12 is greater than 4, so the answer is not a proportional relationship.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ5
1y
Which intervals show f(x) decreasing? Check all that
apply.
4
-3 -2 -1
3
[-2.5, -2]
(-2,-1.5)
0 (-1, 1)
[1.5, 2]
[2, 2.5)
(2.5, 3]
4
-8
12
-16
Answers
I don't have gotten any answer of this question
The circumference of a circle is 6pi meters. What is the diameters? Explain
Answers
Answer:
d=6
Step-by-step explanation:
circumference= 2pi r
6pi=2pi d/2
6pi/2pi=d/2
3*2=d
d=6
A recipe for fruit calls for 2 cans of pineapple juice and 3 cans of orange juice. Hiri is making a large batch for a community function and uses 72 cans of orange juice. How many cans of pineapple juice should he use?
Answers
Answer:
48 cans of pineapple juice he should use.
Step-by-step explanation:
This, is a problem of ratio where we have to use the concept
a:b = c:d which can be also written as
a/b = c/d
______________________________________________________
According recipe
we find ratio of pineapple and orange juice
amount pine apple juice : amount of orange juice = 2 cans : 3 cans
Thus, ratio of pineapple and orange juice = 2:3
___________________________________
Given that this recipe is used for making juice in large batch for a community function
Given
amount of orange juice = 72 cans
let the amount of pine apple juice be x
ratio of pineapple and orange juice in this case
amount pine apple juice : amount of orange juice = x cans : 72 cans
ratio of pineapple and orange juice in this case= x : 72
since recipe used is same.
ratio will be same in both case that in recipe ratio and large batch preparation for community function
Thus,
x:72 = 2:3
which can also be written as
x/ 72 = 2/3
x = 2/3 * 72 = 48
Thus, 48 cans of pineapple juice he should use.
Th sum of three(3) consecutive integers is 72. What are the integers?
Answers
Answer:
X + X + 1 + X + 2 = 72
3X + 3 = 72
3X + 3 - 3 = 72 - 3
3X = 69
3X/3 = 69/3
X = 23
Step-by-step explanation:
To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side.
Hillside Travel pays its employees $10 per hour plus 8% commission on all trips booked. Tyrus worked 20 hours last week and booked trips amounting to $2,100. What was his gross pay for last week? *
Answers
Answer:
$368
Step-by-step explanation:
Well, if they pay their employees $10 per hour, and Tyrus worked 20 hours, then we have a base amount of 200, as 10*20=200. Next, we need to think about the 8% commission from 2100, so we multiply 2100*.92 to get 1932 so 2100-1932=168. So, to get the gross pay, you add the base amount, 200, and the commission, 168, together to get $368. Tyrus got a gross pay of 368 dollars last week.