Answer:
x^3-x^2
_______ = x - 1 / x^2 (simplified by x^2)
x^4 ...?
Unit 3 Closing Activity
Your task is to package 36 cans of tennis balls for shipping. Each tennis ball can contain 3 tennis balls.
You must box them in two rows of 18 cans.
When you go to the box store to purchase a box, you notice that the boxes come in a variety of sizes. All dimensions are in multiples of 6” (ie. 6”, 12”, 18”, etc.). Assume the diameter of one tennis ball is 3 inches. Use 3.14 as the value of .
When talking to the shipping clerk, you find out that there is an extra charge for any extra space in the shipping box that is not taken up by the cans because they have to fill that space in with a filler. Since you are on a tight budget, you want to spend the least amount of money as possible to ship this box.
Your task:
Choose the size box that fits the cans for your shipment.
L= W= H=
2) Determine how much extra space there is in your box after you have put the cans in
Answer:
1) L = 54", W = 6", H = 9"
2) Extra Space = 1389.96 in³
Step-by-step explanation:
1)
LENGTH:
Since, there will be 18 balls along the length of box. Therefore,
Length = L = (18 balls)(Diameter of 1 ball) = (18)(3'')
L = 54"
WIDTH:
Since, there will be 2 rows of cans, and hence, 2 balls along the width of box. Therefore,
Width = W = (2 balls)(Diameter of 1 ball) = (2)(3'')
W = 6"
HEIGHT:
Since, each can can hold 3 balls along the height of box. Therefore,
Height = H = (3 balls)(Diameter of 1 ball) = (3)(3'')
H = 9"
2)
First we calculate the total volume of box:
Total Volume = L*W*H = (54")(6")(9") = 2916 in³
Now, we calculate volume of one ball:
Volume of 1 Ball = (4/3)π(d/2)³ = (4/3)π(3"/2)³ = 14.13 in³
Now, we calculate the total number of balls in box:
No. of Balls = (Balls along length)(Balls along width)(Balls along height)
No. of Balls = (18)(2)(3) = 108 balls
Now, we calculate the total volume of box occupied by balls:
Total Volume occupied by Balls = (No. of balls)(Volume of 1 Ball)
Total Volume occupied by Balls = (108)(14.13 in³)
Total Volume occupied by Balls = 1526.04 in³
Hence, the extra space will be:
Extra Space = Total Volume of Box - Total Volume Occupied by Balls
Extra Space = 2916 in³ - 1526.04 in³
Extra Space = 1389.96 in³
Charlie had 150 feet of wire. If he cut the wire into 12 equal pieces, how long was each piece of wire?
what is 4 9/10 as an improper fraction
Answer:
36/10
Step-by-step explanation:
4*9=36
The value of improper fraction is,
⇒ 49/10
We have to given that,
A mixed fraction to change into an improper fraction is,
⇒ 4 9/10
Since, An improper fraction is a fraction whose numerator is equal to or greater than its denominator.
Now, We can change it as,
⇒ 4 9/10
⇒ (10 × 4 + 9) / 10
⇒ (40 + 9)/10
⇒ 49/10
Therefore, the solution in improper fraction is,
⇒ 49/10
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Jada is planning a kayak trip. She finds an expression for the time, T(s), in hours it takes her to paddle 10 kilometers upstream in terms of s, the speed of the current in kilometers per hour. This is the graph Jada gets if she allows s to take on any value between 0 and 7.5. What would be a more appropriate domain for Jada to use instead?
Answer:
A more appropriate domain would be all real numbers except x = 5.5
Step-by-step explanation:
Given that the domain of a rational function consists of the set of real numbers but excluding those real numbers that results in a zero in the denominator
The given graph of the function has a vertical asymptote at s = 5.5 which indicates a value for which the function is not defined and at x = 5.5, and as such the value (5.5) of the asymptote is not a member of the function's domain
The values of the domain of a function consisting of a reciprocal must exclude does that result in a zero denominator.
The domain of the function that represents Jada's trip is the set of input value the function can take
The appropriate domain is: all real numbers except x = 5.5
From the graph, we can see that:
The x-value starts at negative infinity, and ends near 5.5The x-value then continues near 5.5, and ends at positive infinityThis means that the input of the graph cannot be 5.5
Hence, an appropriate domain would be: [tex]\mathbf{x \ne 5.5}[/tex]
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In the revolutionary army, muskets, x, cost $6 and bullets, y, cost $2. The army only have $600 as a nation. what equation can we use to show how many muskets and bullets we can afford if we have to spend all of our money.
A) 600x+ 2y=6
B) 6x+2y=600
C) 6+2= xy
D) 2x+ 6y=600
Please help!
Answer:
B
Step-by-step explanation:
Using the equation on option B, we would have to multiply the cost, then the quantity needed of muskets and bullets. So B is the only option on which you have to find out how many of each the Army can afford.
Hopefully this helps! :)
Answer it plz I beg u I need the answer quickly
Answer:
p=2l+2w
p=2*9 +2*4
18+8
p=26
Step-by-step explanation:
idk if this is right but that's what i got
The slope of this graph is?
Which method would you use to solve the following equation?
Answer:
Inverse
Step-by-step explanation:
I would use the inverse. Hope this helps!
7w = 49 Can anybody help me with this one too?
Answer:
w=7.
Step-by-step explanation:
Divide 7 on both sides of the equation.
Answer:
7w=49
7 × w = 49
w= 49÷7
w=7
2x(x^3-8)
X^2+7x+10=0
2nd term in expansion of (y-2x)^4
Answer:
10.7
Step-by-step explanation:
Can anyone show me this? :(
I showed the steps in the photo
Hope you can understand it ^_^
20 points question is in the pic pls hurry will also brainliest
Answer:
( 1 , 4 )
Step-by-step explanation:
This Is Where The Coordinates Of M Are IN the Graph. Hope This Helps! Please Rate Brainiest!
-Aslina
Henry is three more than twice Nicholas’ age. Marcus is 9 less than six times Nicholas’s age. If Henry and Marcus are twins, how old is Nicholas?
Answer:
Step-by-step explanation:
Henry is 3 more than twice Nicholas' age. You can write this as :
H = 3 + 2N
Marcus is 9 less than 6 times Nicholas' age:
M = 6N - 9
Since Henry and Marcus are twins, this means H = N.
3 + 2N = 6N - 9
Add 9 to both sides
12 + 2N = 6N
Subtract 2N from both sides
12 = 4N
Divide both sides by 4 to find N.
N = 12/4 = 3
Michael made 12 out of 18 free throws at basketball practice. What is the ratio of baskets made to the total numbers of baskets?
Answer:
2:3
Step-by-step explanation:
You can simplify 12/18 to 2:3 also if michel is that good at basketball he should go to the NBA
Jerilyn made 40 treats for her birthday. She gave 4 away to her family before taking the rest to school. What percent did she give away to her family?
Answer:
16%
Step-by-step explanation:
40/100 x 40
simplify
4x4=16
16%
please mark as brainliest!!!!
Name the longest and shortest side in the triangle.
Answer:
the answer is C Because the lm is the long side and mn is the short side
write equivalent fractions for 3/5 and 1/4 using 20 as the common denominator
Answer:
12/20=3/5 5/20=1/4 so the answer would be 12/20 + 5/20
Hope this helped you!!
Equivalent fractions for [tex]\boldsymbol{\frac{3}{5},\frac{1}{4}}[/tex] are [tex]\boldsymbol{\frac{12}{20},\frac{5}{20}}[/tex] respectively.
Define equivalent fractions.A fraction is a portion of another or, more broadly, a set of equal pieces. Equivalent fractions are fractional that have the same value notwithstanding their appearance.
[tex]\boldsymbol{\frac{3}{5}=\frac{3\times 4}{5\times 4}}[/tex]
[tex]=\frac{12}{20}[/tex]
[tex]\boldsymbol{\frac{1}{4}=\frac{1\times 5}{4\times 5}}[/tex]
[tex]=\frac{5}{20}[/tex]
So, equivalent fractions for [tex]\boldsymbol{\frac{3}{5},\frac{1}{4}}[/tex] are [tex]\boldsymbol{\frac{12}{20},\frac{5}{20}}[/tex] respectively.
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Which sum does the model below represent?
4 positive tiles and 7 negative tiles.
4 + (negative 7) = negative 3
4 + 7 = 11
8 + (negative 3) = 4
11 + (negative 4) = negative 3
The sum the model below represents will be 4 + (negative 7) = negative 3. Option A is correct.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, the expression is 4 positive tiles and 7 negative tiles. We have to apply summation for the given expression,
Expression is the combination of constants and variables with mathematical operators.
The model is algebraically solved as,
=4+(-7)
= -3
Thus, the sum the model below represents will be 4 + (negative 7) = negative 3. Option A is correct.
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whats the capitol of Florida miaaaaaaa
Answer:
Tallahassee
Step-by-step explanation:
Were rotations or translations harder for you to learn? Please explain why.
Answer:
yes
Step-by-step explanation:
bc when u do rotations you have to do it step by step and if u miss a step u wont get in right
Answer: Rotations
Step-by-step explanation:
Because the conversions are a bit tricky to deal with.
Solve by elimination.
3x + 4y = -6
5x - 4y = 22
Answer:
Step-by-step explanation:
Just
Emliminate it by 3x’s
Answer:
HOPE THIS HELPED YOU
PLEASE MARK AS THE BRAINLIEST (ㆁωㆁ)
reduce your answer to its lowest term 15/16 - 8/16
Answer:
7/16
it can't be reduced
{(-2, 6), (2, 0), (3, 6), (4, -1), 5, 3)}
Dom:
Range:
Function?
Answer:
Domain = {-2, 2, 3, 4, 5}
Range= {6, 0, 6, -1, 3)
It is a function
Step-by-step explanation:
It is a function because there is only one y value for each x value
There are 12 girls and 15 boys in a class. The teacher wants to make reading groups with the same number of girls and boys in each group. What is the greatest number of reading groups that can be made
Answer:3
Step-by-step explanation:
A team of college administartors caputured and atgged a group of 90 fraternity men and then returned them to the universiry campus. Later a group of soroity women wishing to stimate the amount of fraternity men on campus caputred 215 men and found they were tagged. How many frat men would they stimate that were on campus
Answer:
125
Step-by-step explanation:
The college administrators captured the 90 fraternity men and tagged them, then they returned them to the university campus.
Let there were x tagged fraternity men already on the university campus, so, the total number of tagged fraternity men on the campus become x+90.
Later a group of sorority women captured 215 tagged men, in which the 90 tagged men added by the college administration are included.
So, x+90=215
[tex]\Rightarrow x=215-90=125.[/tex]
Hence, the number of fraternity men on the campus was 125.
Translate the sentence into an equation.
Four more than the product of a number and 9 equals 6.
Use the variable w for the unknown number.
Answer:
9w+4=6 I believe is the answer
The translation of four more than the product of a number and 9 equals 6 into an equation is 9w + 4 = 6
Given,
Four more than the product of a number and 9 equals 6.
We need to translate the sentence into an equation.
What is the meaning of some important mathematical terms?- More than means we need to add.
- Product means we need to multiply.
- Equals means =
- Sum means adding
- Less than means we need to subtract.
Translate the given sentence into an equation.
Four more than = + 4
Let the number be w.
the product of a number and 9 = w x 9
We get,
9w + 4 = 6
Thus the equation is given by 9w + 4 = 6.
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the product of 120 and b is equal to 312
Write the sentence as an equation.
Answer:
120 + b = 312
Step-by-step explanation:
...
$4,200 with a 35% markdown
Answer:
1, 470
Step-by-step explanation:
4,200 * 0.35 = 1, 470
Answer:
2730 dollars
Step-by-step explanation:
35% of 4,200 is 1,470 so you want to subract 4,200 - 1470 = 2730
I need it asap HELP ME PLEASE
Answer:
x=-38
Step-by-step explanation:
8x+51=6x-25
2x= -76
x= -38
Question 1
A research lab studied the effects that temperature has on the
growth of a certain plant. At 60°F, the plant grows 1.25 cm
per week. At 80°F, the plant grows 2.75 cm per week. How
fast can we expect the plant to grow at 72°F in one week?
A. 1.36 cm
B. 1.5 cm
C. 2.15 cm
D. 2.48 cm