a. The exact volume, in cubic inches, of water flowing out of the pipe every second is 32π cubic inches.
b. The height, in inches, of the water in the tank after 5 minutes is 600 feet.
c. It will take 0.132 minutes to fill 75% of the tank
What is a cylindrical shape?A cylinder is a three-dimensional solid object with two bases that are identically circular and are connected by a curving surface that is located at a specific height from the center.
Examples of cylinders are toilet paper rolls and cold beverage cans.
The volume of a cylinder is πr²h.
Curved surface area = 2πrh.
Total surface area = 2πr(h + r).
Given, Water flows at 2 feet per second through a pipe with a diameter of 8 inches so it is a cylindrical shape.
Therefore, The exact volume, in cubic inches, of water flowing out of the pipe every second is,
= π(4)²×2.
= 32π cubic inches.
The volume of the cylindrical tank is,
= π(7.5)²×6.
= 337.5π cubic inches.
The height, in inches, of the water in the tank after 5 minutes would be
= (32π×300)/π×16).
= 600 feet.
Now, 75% of 337.5π cubic inches is (0.75×337.5π) = 253.125π cubic inches.
Therefore the time required to fill 75% of the tank is,
= [(253.125π/32π)]/60 minutes.
= 7.91/60 minutes.
= 0.132 minutes.
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How do you find the discrminant?
The discriminant is calculated using the formula b squared minus 4ac.It reveals how many possible answers there are to a quadratic problem.
what is discriminant ?The section of the quadratic formula following the square root symbol, b2-4ac, is the discriminant. If there are two solutions, one solution, or no solutions, the discriminant informs us of this. There are two solutions if the discriminant is bigger than zero. The square root's input (i.e., its contents), which is the phrase b2 4ac, is known as the "discriminant" because using its value, you may "discriminate" between (i.e., be able to distinguish between) the different solution types.
here
Keeping in mind that a, b, and c are the coefficients of your quadratic in standard form,
the discriminant is calculated using the formula b squared minus 4ac.
It reveals how many possible answers there are to a quadratic problem.
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NEED HELP FAST WILL GOVE THE BRAINLEST
Answer:
us my understanding the answer is B
Step-by-step explanation:
y=8x-3
8x-y=3
3/8
y=8x+9/5
0=8x9/5
x=9/40
Tamara uses 8.5 of blue paint and white paint to paint her bedroom walls. Three fourths of this amount is blue paint, and the rest is white paint . How many pints of white paint did she used to paint her bedroom walls
The amount of white paint used by Tamara to paint the bedroom walls is 2.125.
What are Fractions?Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.
Total amount of paint = 8.5
Three fourths of this amount is blue paint.
Amount of blue paint = (3/4) × 8.5 = 6.375
Rest is white paint.
Amount of white paint = Total paint - Amount of blue paint
= 8.5 - 6.375
= 2.125
Hence the amount of white paint used to paint bedroom walls is 2.125.
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If the line y=4x+2 passes through the point (0,2), what other point will it pass through? There is more than one right answer.
Select one or more:
a. (1,6)
b. (4,14)
c. (3,12)
d. (2,10)
Answer:
A and D
I graphed the equation on desmos
Answer:
A,D
Step-by-step explanation:
Which type of transformation is represented by the following two angles?
*******Only answer if u know it please*****
Answer:
Dilation
Step-by-step explanation:
Dilation becuase the side lengths expand and produce non rigid motion and dilation is the only non rigid transformation.
Answer:
its a dilation
Step-by-step explanation:
A dilation is a transformation that produces the same shape as the original but of a different size
Suppose you have fewer than 10 place value blocks. How many different ways could you show 1214?
Answer:
To show 1214 using place value blocks, you would need at least 4 blocks: one thousand block, two hundred blocks, one ten block, and four ones blocks. If you have fewer than 4 blocks, it is not possible to show 1214 using place value blocks.
If you have exactly 4 blocks, you can show 1214 in only 1 way: using 1 thousand block, 2 hundred blocks, 1 ten block, and 4 ones blocks.
If you have exactly 5 blocks, you can show 1214 in 2 ways: using 1 thousand block, 2 hundred blocks, 1 ten block, and 4 ones blocks, or using 2 thousand blocks, 1 hundred block, 2 ten blocks, and 4 ones blocks.
If you have exactly 6 blocks, you can show 1214 in 3 ways: using 1 thousand block, 2 hundred blocks, 1 ten block, and 4 ones blocks, using 2 thousand blocks, 1 hundred block, 2 ten blocks, and 4 ones blocks, or using 1 thousand block, 1 hundred block, 3 ten blocks, and 4 ones blocks.
Therefore, if you have fewer than 10 place value blocks, you can show 1214 in 3 different ways.
Which graphs show continuous data?
Select each correct answer.
HELP ME PLEASE!!!
Answer: the bottom two graphs show continuous data
Step-by-step explanation:
the total cost for 5 adult tickets and 18 student tickets at a local theater is $98. The total cost was 98. The total cost for 4 adult tickets and 22 student tickets at the theater is $105. What’s the cost for one adult ticket and one student ticket? PLEASEE BRO
The cost of one adult ticket is 3.6 and cost of one student ticket is 4.3
Tickets for a school talent show cost $2 for students and $3 for adults. If Chris spends at least $11 but no more than 14 on x student tickets and 1 adult ticket, what is one possible value of x?Either 4 or is the appropriate response.
Chris spends a total of 2 x + 3 dollars on x student tickets and a total of x adult tickets because each student ticket costs $ 2 and each adult ticket costs $ 3.
Because Chris spends at least $ 11 but no more than $ 14 on the tickets, the entire inequality 2 x + 3 1 can be written.
x = 4 and x = 5.5 are obtained by subtracting 3 from each side of both inequalities and then dividing each side of both inequalities by 2.
A number higher than or equal to 4 and less than or equal to 5.5 must both be integers in order for x to have a value.
Therefore, either x = 4 or x = 5.
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HURRY what is the simplified form of the following expression? 25xy sqrt 81/625 x^2 y^2
Answer:
D
Step-by-step explanation:
edge 2021
Answer:
D on Edg 2021
Step-by-step explanation:
when you take everything out of the sq rt, [tex]\sqrt{81/625}[/tex] turns into 9/25, and x^2 and Y^2 turn into simply x and y. Then you multiply. 25xy times 9/25xy. 25 cancels out and both y and x are squared and you're left with 9x^2y^2
Elizabeth is 7 years older than her sister
Lauren. Five years ago, Elizabeth was twice
Lauren's age. How old is Lauren now?
Answer:
Lauren is now 12 years old.
Step-by-step explanation:
Lauren is now 12 years old, and Elizabeth is 19.
5 years ago, when Lauren was 7 years old, Elizabeth was twice her age, so she was 14.
✅
An equation is formed when two equal expressions. Lauren is currently 12 years old.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the present age of Elizabeth be represented by E, while the present age of Lauren is represented by L.
Given that Elizabeth is 7 years older than her sister Lauren.
Therefore, we can write the relation between their age as,
E = L + 7
Also, it is given that Five years ago, Elizabeth was twice Lauren's age.
(E - 5) = 2(L - 5)
E - 5 = 2L - 10
Substitute the value of E from the first equation,
L + 7 - 5 = 2L - 10
7 - 5 + 10 = 2L - L
L = 12
Hence, Lauren is currently 12 years old.
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8.
A train from London arrives in Crewe at 2210. The train takes 1 hour and 30 minutes.
What time did the train depart London?
Answer:
2040
Step-by-step explanation:
Please help ill give u brainlest 30 points !!
Paige had a lemonade stand. She sold s small cups of lemonade for $1 each, m medium cups for $3 each, and l large cups for $5 each. At the end of the day, she had sold 6 medium cups, 9 large cups, and 12 small cups of lemonade.
Which expressions show how much money Paige made selling lemonade? Select all that apply.
A. 12s + 9m + 6l
B. 1s + 3m + 5l
C. $75
D. $93
Answer:
B
Hope this helps!
convert 84min into fraction
Answer:
[tex]\frac{7}{5}[/tex]
Step-by-step explanation:
I am thinking that you mean 84 minutes compared to an hour?
[tex]\frac{84}{60}[/tex] ÷ [tex]\frac{12}{12}[/tex] = [tex]\frac{7}{5}[/tex]
What is 70% of 400??
Answer: 280
Step-by-step explanation:
change 70 into a decimal, by moving the period 2 times the the left etc. and multiply it by 400 to get the answer.
0.70 x 400 = 280
The question is in the picture. pls help
Answer:
f=1 e=2 d=3
Step-by-step explanation:
Triangle ABC has vertices A(-3, 3), B(2, 5), and C(4, - 3).
a. What is the x-coordinate of the centroid of triangle ABC?
(-,5/3)
Answer:
Step-by-step explanation:
To find the x-coordinate of the centroid of triangle ABC, we need to take the average of the x-coordinates of the three vertices of the triangle. The x-coordinates of the vertices of triangle ABC are -3, 2, and 4, so the average of these three numbers is (-3 + 2 + 4) / 3 = (3) / 3 = 1.
Therefore, the x-coordinate of the centroid of triangle ABC is 1. The correct answer is (-,1). The given answer (-,5/3) is not the correct x-coordinate of the centroid.
Use Vocabulary to Describe a Graph
What is the domain of the relation?
✓ -4
5x56
COMPLETE
What is the range of the relation?
-4 ≤ys
DONE ✔
-4
+y
4
2
-2
-4
X
For the given graph, the domain and range of the relation equals [-4, 6].
What in mathematics is a relation?A collection of ordered pairs having one item from each set makes up a relation between two sets. If the ordered pair (x,y) is present in the relation and the objects x and y come from different sets, then the objects are said to be connected. One kind of relation is a function.
In other words, the ordered pair collection, where the ordered pair is made up of an object from each set, is used to define the relationship between the two sets. As an illustration, consider the set notation symbols (-2, 1), (4, 3), and (7, -3) with curly brackets.
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22 is 22% of?
How do I find the answer?
Answer:
4.84
Step-by-step explanation:
Do 100 divided by 22% that's gonna give you 0.002 so then you drop the two zeros after the decimal and you gonna have 0.22 then do 0.22 times 22 and you gonna get your answer 4.84.
Equations of Exponential Functions
The Shop and Save is starting their annual clearance and the store has sent out to all their customers a coupon book offering a variety of saving on their products. The LCD television that you have wanted was reduced by 35% prior to the annual clearance. In addition, the coupon book has a 10% off coupon for the LCD television. Determine what you would pay after applying the discounts given that the price of the LCD television was $1,325. Round your answer to the nearest cent.
a. $728.75 c. $596.25
b. $775.13 d. $46.38
Please select the best answer from the choices provided
Answer:
B. $775.13
Step-by-step explanation:
I calculated it logically
2. According to the law of supply, if the price of a good or service increases:
Answer:
There is a negative relationship between the price of a good or service and the quantity producers will supply.
Step-by-step explanation:
Please Help Help Help
EDCB is a rectangle, so:
ED = BC = 12
DC = EB = 29
We know that,
= AB = AE + EB
= 34 = AE + 29
= 34 - 29 = AE
= 5 = AE
Now, in triangle EAD, by pythagonas theoram:
= H² = P² + B²
= H² = 5² + 12²
= H² = 25 + 144
= H = √169
= H = 13
So, AD = 13 cm
_________________
Simpooooool
Using the following equation, find the center and radius of the circle. You must show and explain all work and calculations to receive credit. Be sure to leave your answer in exact form.
x^2 + y^2 - 8x + 2y + 13 = 0
Thank you!
Answer:
radius = 2 center = (4,1)
Just before a referendum on a school budget, a local newspaper polls 417 voters to predict whether the budget will pass. Suppose the budget has the support of 54% of the voters. What is the probability that the newspaper's sample will lead it to predict defeat?
Answer:
The probability here is 62%
The probability that the newspaper's sample will lead it to predict defeat is approximately 0.0495, or about 5%.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
Let X be the number of voters in the sample who do not support the budget (i.e., who will vote against it). Then X follows a binomial distribution with parameters n = 417 (the sample size) and p = 1 - 0.54 = 0.46 (the probability that a voter does not support the budget).
The probability that the sample will lead the newspaper to predict defeat is the probability that X is greater than half the sample size (since the budget will be defeated if more than half of the voters in the population vote against it). In other words, we need to calculate:
P(X > 0.5n) = P(X > 0.5 × 417) = P(X > 208.5)
We can use a normal approximation to the binomial distribution to estimate this probability. The mean of the binomial distribution is np = 417 × 0.46 = 191.82, and the standard deviation is √(np(1-p)) = √(417 × 0.46 × 0.54) = 10.04.
To apply the normal approximation, we standardize the random variable X as follows:
Z = (X - np) / √(np(1-p))
Then we can use a standard normal distribution table or calculator to find the probability:
P(X > 208.5) = P(Z > (208.5 - 191.82) / 10.04) = P(Z > 1.65) ≈ 0.0495
Therefore, the probability that the newspaper's sample will lead it to predict defeat is approximately 0.0495, or about 5%.
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Amanda is training for a marathon. She runs 7 1/2 miles every 3 days. At this rate, how many miles will she run in 36 days?
Answer:
She would run 90 miles in 36 days
You would start off by doing 7.5 ÷ 3 to get 2.5
Then you multiply 2.5 by 36 to get 90
Equations of Exponential Functions
Find the missing values for the exponential function represented by the table below.
a. 7.5
5
b. -16.875
25.3125
c. 16.875
25.3125
d. -16.875
-25.3125
Please select the best answer from choices provided
Answer:
C. 16.875
25.3125
Step-by-step explanation:
I calculated it logically
Find (f•g)(1)
f(x)=x²-1
g(x) = √x
The answer to the stated domain range puzzle is 0.
What exactly are a domain and range?both domain and range. The range of values that can be plugged into a function is known as its domain. In a function like f, this set represents the x values (x). The values that the function outputs when we enter an x value are in this set.
What do a function's domain and range consist of?The collection of all possible inputs and outputs constitutes a function's domain and range, respectively. Important features of a function are the domain and range.
According to the given information:(f(g)(x) = (√x)² - 1
(f(g)(x) = x - 1
(f(g)(x)(1) = 1 - 1 = 0
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Find the circumference of a circle with a diameter of 50 centimeters
Answer:
157.08 is the circumference. Hope it helps you
Step-by-step explanation:
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 12 feet and a height of 20 feet. Container B has a diameter of 16 feet and a height of 12 feet. Container A is full of water and the water is pumped into Container B until Container A is empty.
Answer:
After the pumping, Container B is 11.8\%11.8% empty.
Step-by-step explanation:
The volume of water inside Container B equals the entire volume of Container A. The empty portion of Container B is equal to the entire volume of Container B minus the volume of water inside Container B. So the volume of empty space inside Container B is equal to 1570.7963-1385.44241570.7963−1385.4424 which equals 185.3539. The percent of Container B that is empty can be found by setting up a proportion with the entire volume of Container B: 11.8 %
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Step-by-step explanation:
These triangles are similar (SAS)24m>21mSo<1 is greater than <2Which is not a factor pair of 300
Answer:
Step-by-step explanation:
So, the factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, and 300. [Note: If we divide 300 by 21, we get the quotient and remainder as 14 and 6, respectively. So, 21 is not a factor of 300.