Answer:
[tex]a^7-7a^6b+21a^5b^2-35a^4b^3+35a^3b^4-21a^2b^5+7ab^6-b^7[/tex]
Step-by-step explanation:
There are multiple ways of expanding a polynomial expression to a high degree. One way of doing it is to write out the problem in the multiplication form, multiply (a - b) by itself (7) times.
[tex](a-b)^7[/tex]
[tex]=(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)(a-b)[/tex]
Now simplify, multiply two terms together,
[tex]=(a^2-2ab+b^2)(a^2-2ab+b^2)(a^2-2ab+b^2)(a-b)[/tex]
Repeat this process,
[tex]=(a^4-4a^3b+6a^2b^2-4ab^3+b^4)(a^3-3a^2b+3ab^2-b^3)[/tex]
Repeat this process one final time,
[tex]a^7-7a^6b+21a^5b^2-35a^4b^3+35a^3b^4-21a^2b^5+7ab^6-b^7[/tex]
On a grid, Label Hours Studying on x axis and Test Scores on y axis. The title of the graph is Test Scores and Hours Studying. The scale on the x axis shows the numbers from 0 to 10 at increments of 1, and the scale on the y axis shows numbers from 0 to 100 at increments of 10. Dots are made at the ordered pairs 1.1, 10 and 2, 25 and 3.1, 10.1 and 4, 30 and 4, 45 and 5, 45 and 6, 25 and 6.5, 60 and 7, 45 and 7.5, 50 and 7.5, 75 and 8, 60 and 8.5, 75 and 9, 60. The ordered pair 1, 100 is circled and labeled as M. All the other points are put in an oval and labeled as N.
Answer:
what do you mean and the answer is 1,102
Step-by-step explanation:
Elijah is going to invest in an account paying an interest rate of 5.5% compounded continuously. How much would Elijah need to invest, to the nearest hundred dollars, for the value of the account to reach $1,400 in 16 years?
Answer:
600
Step-by-step explanation:
yw
On Saturday jeff used 2 quarts 1 cup of water from a full gallon of water. On Sunday he used 3 pints of water from the same gallon. How much water was left in the gallon after sunday
Answer:
17.80
Step-by-step explanation:
an airplane traveled 1000 miles in 2 hours how long would it take that plane to travel 5000 miles if it travels at the same speed
5hours
6hours
7hours
10hours
12hours
Answer:
10 hours
Step-by-step explanation:
Create a proportion where x is the number of hours to travel 5000 miles
[tex]\frac{1000}{2}[/tex] = [tex]\frac{5000}{x}[/tex]
Cross multiply and solve for x
1000x = 10000
x = 10
So, it will take 10 hours.
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Answer:
＼(◎o◎)／
♪～(´ε｀ ) ╮(. ❛ ᴗ ❛.)╭
3) The start-up cost to join Tunes is $7.95 plus $0.95 per song downloaded. If Will spent $26, write and solve a linear equation to find how many songs he downloaded
Answer:
X = 19 songs
Step-by-step explanation:
Y = 0.95x + 7.95
26 = 0.95x + 7.95
Solve for x
26-7.95 =0.95x
18.05/0.95 = x
X = 19 songs
The dot plots show the total number of hours students spent on homework for one week at
two different schools.
Which statement is supported by the information in the dot plots?
Answer:
B
Step-by-step explanation:
if the ratio of milk and water in 45 litre is 7:2. if 4 litre water is added what will be the new ratio.
Answer:
5 : 2
Step-by-step explanation:
sum the parts of the ratio, 7 + 2 = 9 parts
Divide the quantity by 9 to find the value of one part of the ratio
45 litres ÷ 9 = 5 litres ← value of 1 part of the ratio , then
7 parts = 7 × 5 = 35 litres
2 parts = 2 × 5 = 10 litres
In 45 litres there is 35 litres of milk and 10 litres of water
Adding 4 litres of water gives
35 : 14 = 5 : 2
which is greater 20.903 or 2.209
Answer:
20.903
Step-by-step explanation:
Answer:
20.203
Step-by-step explanation:
Kaitlin wants to pour 27.17 grams of salt into a container. So far, she has poured 25.98 grams. How much more salt should Kaitlin pour?
Answer:
1.19
Step-by-step explanation:
27.17-25.98= 1.19
The mean numberr of stereos sold per day at the store was 15 over a period of 7 days which statement must be true about the stereo sales at the store
Answer:
well I don't know the options, but I do know that 105 would have been sold in a week.
Step-by-step explanation:
15 x 7 = 105
Solve for x, please help me thank you
Answer:
x = 72°
Step-by-step explanation:
Since the triangle has 2 congruent sides then it is isosceles and the 2 base angles are congruent , both 54° , then
x = 180° - (54 + 54)° = 180° - 108° = 72°
Jamal went to the post office to buy stamps and large envelopes. Each stamp costs the same amount, and each large envelope costs the same amount. The first customer paid $13.25 for 14 stamps and 5 large envelopes.The second customer paid $23.75 for 10 stamps and 15 large envelopes. What was the cost in dollars of each large envelope?
Answer:
Step-by-step explanation:
i chose .95 cents!
Factor the expression using the GCF. 6x + 42
Answer: 6x + 42 +=78
.
Step-by-step explanation:
The factor of the given expression is x +7.
What is GCF in mathematics?The "greatest common factor" is referred to as the GCF. The biggest number that is a factor of two or more numbers is known as the GCF.
Given an expression 6x + 42 = 0. for factorization take 6 commons from both sides.
6(x + 7 ) = 0
x + 7 = 0
Therefore (x + 7) is the factor of the given equation
Learn more about factor here:
https://brainly.com/question/14209188
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The height of a falling pinecone can be represented by y = -16° +64 where t is the time in seconds
and y is the height of the pinecone in feet. Write and solve an equation to find the number of seconds it
will take for the pinecone to reach the ground.
A. 4 seconds
B. 6 seconds
C. 2 seconds
D. 1.5 seconds
Answer:
4 Seconds
Step-by-step explanation:
Let's say the height of the ground is set at y = 0.
Then, since 16 times 4 is 64, we substitute 4 for x.
But wait! x is being squared!
So we need to find out what squared is 4. It's 2.
So, with x being equal to two, y is equal to 0.
But what is the number of seconds? We actually got it first.
That means that the answer is 4.
The pinecone takes 4 seconds to reach the ground.
a rectangle has an area of 446.4 miles and a base of 18 miles what is the height
Answer:
24.8
Step-by-step explanation:
To answer this we must divide 446.4 by 18 and we get 24.8
(っ◔◡◔)っ ♥ Hope It Helps ♥
A mother bear and her cub catch fish from a river . The mother bear catch 10 fish the mother bear catch 5 times as many
Answer:
This doesn't make sense.
Step-by-step explanation:
If the question was "A mother bear and her cub catch fish from a river. The cub catches 10 fish and the mother bear catches 5 times as many as the cub. How many fish did the cub catch?" then the answer would be, The mother bear caught 50 fish.
This is because if the cub caught 10, and the mother caught 5 times that amount, the mother caught 5 x 10 fish. 5 x 10 = 50.
Brainliest to answer this math question<33
Answer:
the . ans 15, 20
Can someone help me with this. Will Mark brainliest.
Answer:
no.
Step-by-step explanation:
since 2 of the sides are much longer than the shorter sides, diagonals of a rectangle will not intersect at a right angle (perpendicular) whereas a square, with all sides equal, would. This is because the distance from the center to each of the corners is the same for each corner.
Which triangle is a right isosceles triangle?
Answer:
A is the correct answer
Step-by-step explanation:
Hope that helps
FOR REA PLEASE HELP ASAP
Answer:
16
Step-by-step explanation: -7 is the least number and 9 is the greatest. the range between -7 and 9 is 16
Find the value of x to the nearest tenth
Answer:
X = 7.24 or 7.2
Step-by-step explanation:
Tan46/1 = x/7
Cross multiply to get this outcome:
7tan(46)
Put into calculator
Then your answer will be X = 7.24 or 7.2
Hope that helps :)
Find the measure of angle x in the figure below:
1)
35°
2)
48°
3)
69°
4)
78°
Answer:
x is 48°
Step-by-step explanation:
look at picture ......
Find the area of the figure. Round to the nearest hundredth.
Answer:
66.27 in²
Step-by-step explanation:
([tex]\pi[/tex]2²)+(4*4)
50.27+16
66.27
I had trouble plotting the midpoint lol but can someone plz help me :c
midpoint is (-1 and -1.5)
Answer:
Step-by-step explanation:
midpoint rule is x2+x1 / 2 , y2+y1 / 2
where point one is P1 = (x1,y1) = (4,3)
and point two is P2 = (x2,y2) = -6,-6
for x then, -6+4 / 2 = -2 / 2 = - 1
for y then, -6+3 / 2 = -3 / 2 = - [tex]\frac{3}{2}[/tex]
mid point is ( -1 , - [tex]\frac{3}{2}[/tex] )
200 tickets were sold in a school’s annual musical performance. Students' tickets cost $2.50 each and parents tickets cost $3.50 each. The total amount collected was $537. How many tickets were sold for parents?
Answer:
Step-by-step explanation:
number of students ticket sold = x
number of parent tickets sold = y
If a total of 96 tickets were sold
x+ y =96 ---- eq 1
If a total of 96 tickets were sold for $306.25
2.50x + 3.75y=306.25 ---- eq 2
x+ y =96
y=96-x
substitute value of y in equation 2
2.50x + 3.75 (96-x)=306.25
2.50x + 360 -3.75x =306.25
- 1.25 x = -53.75
x = 43
therefore the answer would be y=96-x=96-43=53
the logarithm is the ____ of a specified base
Please i need help!!!!!
Answer:
Function
Step-by-step explanation:
Select the correct answer.
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0
1
2
3
4
у
6
8
14
24
38
Choose...
function
This function is best modeled by a(n)
We have two fractions, \dfrac{2}{5} 5 2 start fraction, 2, divided by, 5, end fraction and \dfrac{3}{10} 10 3 start fraction, 3, divided by, 10, end fraction, and we want to rewrite them so that they have a common denominator (and whole number numerators). What numbers could we use for the denominator? Choose 2 answers: Choose 2 answers: (Choice A) A 10 (Choice B) B 5 (Choice C) C 20 (Choice D) D 15
Answer:
(Choice A) A 10
(Choice C) C 20
Step-by-step explanation:
Fraction 1: 2/5
Fraction 2: 3/10
rewrite them so that they have a common denominator (and whole number numerators
For both fractions to have a common denominator, find the lowest common multiple of both denominators
5 = 5, 10, 15, 20, 25, 30, 35, 40
10 = 10, 20, 30, 40
The two lowest common multiple of 5 an 10 is 10 and 20
Therefore, the answer is
(Choice A) A 10
(Choice C) C 20
Answer:
10,20
Step-by-step explanation:
got it right un khan! trust me! :D
HELP PLEASE ILL MARK BRAINEST IF UR RIGHT. Gems math