The expression for the volume of the pool is given by (25 d³ + 225 d² + 350 d) feet³.
We have:
We are given that the depth of the pool is = d feet
Width of the pool is 10 feet greater than five times it’s depth
Width of the pool = 10 + 5 d feet
length of the pool is 35 feet greater than five times its depth
Length of the pool = 35 + 5 d
We know that:
Volume = l b h
Volume = (d) × (10 + 5 d) × (35 + 5 d)
Volume = (10 d + 5 d²) (35 + 5 d)
Volume = 350 d + 175 d² + 50 d² + 25 d³
Volume = (25 d³ + 225 d² + 350 d) feet³
Therefore, we get that, the expression for the volume of the pool is given by (25 d³ + 225 d² + 350 d) feet³.
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I need help with cumulative frequency pleaseee!!
The cumulative frequency for a given range is the sum of all the relative frequencies that belong to that range.
The CFs for the given grade ranges are
• ≤ 49 :
9/67
• ≤ 59 :
9/67 + 10/67 = 19/67
• ≤ 69 :
9/67 + 10/67 + 10/67 = 29/67
• ≤ 79 :
9/67 + 10/67 + 10/67 + 14/67 = 43/67
• ≤ 89 :
9/67 + 10/67 + 14/67 + 14/67 + 15/67 = 58/67
• ≤ 100 :
9/67 + 10/67 + 10/67 + 14/67 + 15/67 + 9/67 = 67/67 = 1
What is chicken nugget please
Answer: chicken
Step-by-step explanation: a chicken nugget is a very roasted chicken in certain part of the body to make a chicken nugget and then ya got yourself a chicken nugget.
What is (-2/3)+(7/8)?
Answer: 5/24
Step-by-step explanation:
(-2/3)+(7/8)=
(-2/3)+(7/8)*24/24= ==> 24 is the LCM of 3 and 8
[tex]\frac{(-2*24)/3+(7*24)/8}{24}[/tex]=
[tex]\frac{-2*24/3+7*24/8}{24}[/tex]=
[tex]\frac{-2*8+7*3}{24}[/tex]=
[tex]\frac{-16+21}{24}[/tex]=5/24
Michael has $96 in savings and makes $12.00 an hour at his job. Greg has $128 in savings and makes $10.00 an hour his job. They both save all their earned money. How many hours they both have to work to have the same amount of money saved?
The computation shows that the hours that they both have to work to have the same amount of money saved is 16 hours.
How to calculate the function?Based on the information given, let the number of hours be represented by h
Therefore, the first function for Michael will be:
96 + 12h
The second function for Greg will be:
= 128 + 10h
Therefore, we'll equate both equations. This will be:
96 + 12h = 128 + 10h
12h - 10h = 128 - 96.
2h = 32.
h = 32/2
h = 16 hours.
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Find the sum of 0.55 and 0.41 i need help
It takes you 53 seconds to walk from the first (ground) floor of a building to the third floor. How long will it take you to walk from the first floor to the sixth floor (at the same pace, assuming all floors have the same height)?
The time it takes to walk from the first floor to the sixth floor is 132.5 seconds.
What is a division?The division is a process of splitting a specific amount into equal parts.
We have,
To walk from the first floor to the third floor it takes 53 seconds.
From the first floor to the third floor there are two floors.
So we can say that the number of seconds it takes to walk to one floor is 53/2 assuming that each floor has the same height.
We have,
= 53 / 2
= 26.5 seconds
There are 5 floors from the first floor to the sixth floor.
So the time it takes to walk from the first floor to the sixth floor is:
= 26.5 x 5
= 132.5 seconds
We can also say that,
132.5 seconds = 2.20 minutes = 2 minutes 12 seconds
Thus the time it takes to walk from the first floor to the sixth floor is132.5 seconds.
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whats a equivalent expression for the square root of 13 x the square root of 13
Answer:
[tex]2(13^{2})[/tex]
Step-by-step explanation:
[tex]13^2 + 13^2 = 13^2[/tex] x [tex]2 = 2(13^2)[/tex]
We can check the work.
[tex]13^2 +13^2= 169 + 169 = 338\\\\\\2(13^2)= 2(169)= 338[/tex]
what are the missing lengths for the triangle 45 45 5v2
3.5355339 cm are the missing lengths for the right triangle.
What is right triangle ?
A right triangle is one that has an interior angle of 90 degrees. The hypotenuse, which is also the side of the right triangle that faces the right angle, is its longest side. The height and base make up the two arms of the right angle.In a 45-45-90 right triangle the hypotenuse is always equal to the measure of one of the legs times √2 call "n" the measure of one of the legs
n√2=5
n=5/√2
multiply both terms by √2
n=5√2/2, or...
n=2.5(1.4142136)
n=3.5355339 cm (round as needed)
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The complete question is -
The length of the hypotenuse of a 45-45-90 triangle is 5 cm what is the length of each leg.
The table shows how long it takes for Building
Brothers to build and renovate homes. If the
company has been renovating homes for
16 years, how many homes has it renovated? Renovate a house: 8 months
Since Building Brothers have been renovating homes for 16 years, the number of homes renovated is 24.
How is the number of homes determined?We can use mathematical operations of addition, subtraction, division, and/or multiplication to determine the missing value.
The first effort is converting 16 years into months. The product is divided by 8 months to arrive at the quotient of 24 homes that were renovated within 16 years.
Data and Calculations:Time period = 16 years
Time spent to renovate a house = 8 months
12 months = 1 year
Total number of months spent = 192 months (16 x 12)
The number of renovations = 24 (192/8)
Thus, Building Brothers have renovated 24 homes within 16 years.
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Idrk what to name this but- just only answer if you are sure
Answer:
Put it on calculator
Step-by-step explanation:
Or multiple 7x10. And 10x10 to make the percentage from 100 it will be 70
If you don't understand don't be shy to ask you should learn from your mistakes
Answer:
C. 70%
Convert 7/10 into a decimal, 0.7, and then convert into a percentage, 70%. :)
Marcus keeps a record of the money he has in his checking account. In January he wrote checks totaling $45. In February he made a deposit of $100. In March he did not deposit any money nor did he write any checks. Use integers to describe each month's activity in the account.
Marcus' account's activity is shown using integers in the table given below.
What are integers?An integer is the number zero (0), a positive natural number (1, 2, 3, etc.), or a negative integer with a minus sign (1, 2, 3, etc.). The negative numbers are the additive inverses of the corresponding positive numbers. The set of integers is frequently denoted by a Z in mathematical notation.Then,
In January Marcus wrote checks totaling $45.In February he made a deposit of $100.In March he did not deposit any money nor did he write any checks.So, the activity of Marcus account's using integers is shown in the table below.
Therefore, Marcus' account's activity is shown using integers in the table given below.
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Taylor took out a 1,500$ discounted loan calculated using a simple interest rate of 2.5% for a period of 4 years. How much money does Taylor receive initially?
The initial amount that Taylor receive initially is $1500.
How to calculate the value?Based on the information given, the following can be illustrated:
Interest = 1500
Time = 4 years
Rate = 2.5%
Principal = Unknown
Interest = PRT/100
1500 = (P × 4 × 2.5)/100
150000 = 10P
Divide
P = 150000/100
P = 1500
The initial amount is $1500.
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Plot the intercepts to graph the equation.
9x−4y=−36
Graph it
For the line 9x−4y=−36 we have:
x-intercept (-4, 0)
y-intercept (0, 9)
The graph of the line can be seen below.
How to graph the linear equation?Here we have the linear equation:
9x - 4y = -36
First, the x-intercept is what we get when y = 0, then:
9x - 4*0 = -36
9x = - 36
x = -36/9 = -4
Then we have the point (-4, 0)
And the y-intercept is what we get when evaluate the variable x = 0, so:
9*0 - 4*y = -36
y = -36/-4 = 9
Then we have the point (0, 9)
Now just graph these two points, and connect them with a line, you will get the graph below.
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Which is the better deal? 16 oz of jelly for $3.30 or 48 oz of jelly for $8.64
Answer: The 48 0z of jelly for 8.64
Step-by-step explanation: because 16 oz of jelly is 3.30 and if you double it, it is $9.9
Answer:
48 Oz of jelly for $8.64
Step-by-step explanation:
16oz of jelly is $3.30 x 3 =$9.90
Identify the simplest polynomial function that has the given zeros
-2,4,5
P(x) = x³ - 7x² + 2x + 40
P(x) = x³ + 7x² - 2x - 40
P(x) = x³ - 7x² + 2x - 40
P(x) =x^3+7x² - 2x + 40
Answer:
is correct
x^3 -7x^2+2x +40
multiply the constants of the factors (each factor has opposite sign of the zero)
(x+2)(x-4)(x-5) 2(-4)(-5) = 40, that eliminates all but c) and d)
(x+2)(x-4)(x-5) = (x^2-2x-8)(x-5) by using FOIL on the 1st two factors
then (-8)(-5) = +40, eliminating a) and b), leaving only c) and d)
-5 times -2x = 10x, x times -8 = -8x. 10x-8x = 2x which c) has but d) doesn't.
Step-by-step explanation:
Solve the equation for x.
27
(14 − 28x) = 20
Answer:
27 times (14 and 28)
378-756=20
-378=20
Put it (-378) on the other side
Your answer: 398
Thank you,daintyswordCompute the derivatives of the Michaelis Menten kinetics
V=Kx/kn + x
where K and kn are constants.
We get the derivative of the function V = K x / k n + x as d v / d x = k / k n + 1.
We are given a function:
V = K x / k n + x
where K and k n are constants.
We need to find its derivative with respect to x
Derivative refers the rate of change of a function with respect to a variable.
Now differentiating with respect to x , we get that:
d V / d x = k / k n ( 1 ) + ( 1 )
d v / d x = k / k n + 1
Therefore, we get the derivative of the function V = K x / k n + x as d v / d x = k / k n + 1.
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1. Rosa was hiking near the Dead Sea. She began her hike at an elevation of -600 feet and ended the hike at 92 feet. What was the change in her elevation
Change in Rosa's elevation from starting to end of her hike is 692 feet.
What is elevation in a hike?
Elevation is the height of hiker above the sea level at any point of the hike.
At the starting of the hike , Rosa was at an elevation of = -600feet
At the ending of the hike, Rosa is at an elevation of = 92 feet
Change in elevation = final elevation - initial elevation
= 92-(-600) = 692 feet
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Finn completed 27 situps. Ellen completed 9 situps. Finn completed n more situps than Ellen. How would you determine this?
Answer: finn did 18 more situps than ellen
Step-by-step explanation:
12 x (-2/3) =
A. 1/8
B. -8
C. 8
D. -1/8
Answer:
B.-8
= 12 * (-2/3)
= -24/3
= -8
Hailey signed up for a streaming music service that costs $12 per month. The service allows Hailey to listen to unlimited music, but if she wants to download songs for offline listening, the service charges $1 per song. How much total money would Hailey have to pay in a month in which she downloaded 15 songs? How much would she have to pay if she downloaded ss songs?
9 divided by 836 step by step
Answer: 92 [tex]\frac{8}{9}[/tex]
Step-by-step explanation:
836/9=
(800+36)/9=
800/9 + 36/9=
800/9 + 4 =
(792+8)/9 + 4=
792/9 + 8/9 + 4=
88 + 8/9 + 4=
88+4+8/9=92 [tex]\frac{8}{9}[/tex]
(13 + 7 ^ 2 / 7)/(9 - 20/4 - 16)
Answer:
-5/3
Step-by-step explanation:
= (13+7*7/7)/(9-20/4-16)
= (13+7)/(9-5-16)
= 20/(-12)
= -5/3
On her way to her grandmothers house. Jackie traveled three times as many miles by train as by bus. She traveled four times as many miles by foot. If Jackie traveled 34 miles an hour how many miles did she travel by train?
Answer:
the answer is 136 miles
The school band is having a car wash to raise money. Their goal is to collect $150. So far they have earned $10 each from three families and $5 each from fifteen families. How much more money do they have to earn to reach their goal?
1/(x+1) = -1/ x-1
true or false
Answer:
False
Step-by-step explanation:
it would be positive, not negative.
Which of the following is considered to have two dimensions?
Answer: objects that are flat plane figures that have two dimensions; length and width.
example: squares, circles, rectangles, and triangles are examples of two-dimensional objects.
Step-by-step explanation:
Please help!! its appreciateddd hurry plssss
Using translation concepts, the graph of g(x) is given at the end of the answer.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
Function f(x) is a concave up parabola with vertex at (1, -5). For the translation g(x) = f(x + 2), we have that the function is shifted two units left, as:
g(x) = f(x + 2) = (x + 2 - 1)² - 5 = (x + 1)² - 5.
Which is a concave up parabola with vertex at (-1, -5), and the graph is given at the end of the question.
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Answer: 15
Step-by-step explanation:
its 15 because 1+1 is 2 which is equal to 2 and u h... plus 10 is 12. 12+3 is 15. the answer is 15 because I like that number and iI'm typing random stuff right now, wondering if you'll log in to brai.nly again one day and just see this du mb message. anyway hi kin !
feb 23, 2023 :)
prove that the set of all xy=0 in R^n is not an open set
the set of all x y = 0 in R is not an open set.
x y = 0 in R is possible if
either x= 0y =0x = y = 0So, the contains (0,0) , (0, any real number) ,...…..,
(any real number, 0) ,...…..
So, the set is not an open set.
Hence proved.
Therefore, the set of all x y = 0 in R is not an open set.
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a company charges $80 per day plus $0.30 per mile for truck rentals. If Greg rents a truck for 3 days and drives 200 miles, how much will the company charge?