Answer:
Step-by-step explanation:
d=80 ft
r=80/2=40 ft
volume of cylinder=π r²h,where h is height or depth of cylinder.
π×40²×h=825,000
πh=825,000/40²=4125/8
h=4125/(8π)≈164.1285≈164.13 ft
The depth of water in the reservoir is approximately 21.92 feet.
To find the depth of water in the reservoir, we can use the formula for the volume of a cylinder:
Volume = π * r^2 * h
Where:
Volume is the total volume of water in the reservoir (in gallons),
π (pi) is a mathematical constant approximately equal to 3.14159,
r is the radius of the reservoir (half of the diameter), and
h is the depth of water in the reservoir (in feet).
Given:
Diameter = 80 feet
Volume = 825,000 gallons
We first need to calculate the radius (r) of the reservoir:
Radius (r) = Diameter / 2 = 80 feet / 2 = 40 feet
Now, we can convert the volume from gallons to cubic feet because we need the measurements to b²e in consistent units:
1 gallon ≈ 0.13368 cubic feet
Volume (in cubic feet) = 825,000 gallons * 0.13368 cubic feet/gallon ≈ 110,127 cubic feet
Now, we can find the depth (h) using the formula:
110,127 cubic feet = π * (40 feet)² * h
Solving for h:
h = 110,127 cubic feet / (π * 40 feet)² ≈ 110,127 cubic feet / 5026.5482 square feet ≈ 21.92 feet
Therefore, the depth of water in the reservoir is approximately 21.92 feet.
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What can 7/8 be rewritten as?
Answer:
0.875
Step-by-step explanation:
Answer:
Step-by-step explanation:
u would divide 7 by eight and get 0.875
PLEASE ANSWER THIS
Review the problem below. Determine when the Associative, Commutative , and Additive Inverse properties are used.
Original problem (5.2 - 4) -4 + 6.2
Step One (5.2 - 4) +(-4) + 6.2
Step Two 1.2 + (-4) + 6.2
Step Three 1.2 + 6.2 + (-4)
Step Four (1.2 + 6.2) + (-4)
Step Five 7.4 + (-4) = 3.4
Answer:
2.5
Step-by-step explanation:
Can someone help with this please?
Answer:
look below
Step-by-step explanation:
slope: 2/1
Y- intercept:1
equation: y= 2x+1
Graph the logarithmic function below by moving the
key point.
y = log₂ (x)
You can only graph integer points
To graph the logarithmic function y = log₂(x), we can use the key point (1,0) and the fact that the logarithmic function is the inverse of the exponential function y = 2ˣ.
Starting at the key point (1,0), we can move to the right by increasing x by a factor of 2, since log₂(2) = 1. This takes us to the point (2,1). Similarly, we can move to the right by a factor of 2 again to get to the point (4,2), and then to (8,3), (16,4), and so on.
If we instead move to the left from the key point (1,0) by a factor of 2, we get to the point (1/2, -1), since log₂(1/2) = -1. We can continue moving to the left by dividing x by 2 to get to (1/4, -2), (1/8, -3), and so on.
The given graph of y = log₂(x) using only integer points.
The graph is symmetric about the line x=1, since log₂(x) = log₂(1/x) = -log₂(x).
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Simplify the expression: 6+p–8+7
Answer:
p+5
Step-by-step explanation:
I feel as if I might be oversimplifying my answer, so I may be wrong. But, I simply took the time to add like terms! The variable- p- will stand alone because it does not have a given value. The 6, 7, and -8 can be added together, though! Hence my +5. I hope this helped! :)
I BEG u pls answer this question.. im using my remaining points for these and i will give u brainliest if they are correct
Answer:
7) 105°
8) 105°
Step-by-step explanation:
For the first question:
All angles of a triangle added will always equal 180°. If you already have two of the angles just add them up and subtract that by 180. The result is the measure of the third angle.
This is what we do in this case: 180 - 53 - 52 = 75
Since we want to find the measure of the exterior angle of C, and it forms a straight line when added to the interior angle of C, we know that 75° plus this other angle will equal 180°. This is because the angle of a straight line will always be equal to 180°. So to find the angle we should subtract 75 from 180. This will give us 105° which is the measurement of angle x.
For the second question.
For a straight line the angle measure will always be equal to 180°. The green angle that is missing forms a straight line when added with the measures beside it of 34° and 41°. So to find the measurement of the green angle just add 34° and 41° and subtract them from 180°. The result will be the measurement of the green angle.
Answer:
x = 105° ; m∠CFE = 105°
Step-by-step explanation:
Picture 1.
Exterior angle theorem:
The exterior angle of a triangle is equal to the sum of the two opposite interior angles. ⇒ x = 52° + 53° = 105°
Picture 2. (Is not in scale)
∠GFE is a straight angle and m∠GFE = 180°
m∠CFE = 180° - (34° + 41°) = 105°
-3 < x -10 Solve for X and simplify please
Hey there!
“-3 < x - 10”
SOME people treat the “<” “>” as an equal sign to make these types of problems easier to solve!
-3 = x - 10
Flip the equation around
x - 10 = -3
ADD both of your sides by 10
Like: x - 10 + 10 = -3 + 10
CANCEL out: -10 + 10 because it gives us 0
Keep: -3 + 10 because it gives us the value of x
-3 + 10 = x
Solve that above and you have your answer: x = 7 ☑️
Overall answer: x < 7
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
3 x 10 + 2 x 1 + 6 x 1/100 +4 x 1/1000 is the expanded form of which decimal?
Answer:
32.064
Step-by-step explanation:
Which expressions represent the sum of exactly two terms?
Choose 2 answers:
(Choice A)
xy
(Choice B)
m^4+6n
(Choice C)
3+7s+t
(Choice D)
a+c
Answer:
Step-by-step explanation:
The answer is a+c and 3+7s+t
Bacuase both term have single power
What story matches the graph?
Answer:
A. Starting from home, Kyle jogs increasing his speed until he gets a cramp. He then slows his pace, begins walking, and returns home.
Explanation:
The line starts from the bottom (starting from home), the line goes up (Kyle jogs increasing) the line goes down (he gets a cramp). the line is at constant speed (he begins walking) the line goes back to his starting point. (and he returns home)
Which system of equations has no solutions? 9 NW AUOVO 5 -NW A o Voor 1 o 1 2 3 4 5 6 7 8 9 O 1 2 3 4 5 6 7 8 9 X O O O O MN 7. 6 5 NW A UV00 1 ol 1 2 3 4 5 6 7 8 9 o эх 1 2 3 4 5 6 7 8 9 X
Answer:
the one with one line and the one that is parallel, Basically the two on top^_^
The system of equation that has no solutions is graph (b)
For a system of equation to have no solution, then the lines of the equations would be parallel, and the lines would not intersect
From the given options, the lines of graph (b) do not intersect
Hence, the system of equation that has no solutions is graph (b)
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1: Suraj says the two expressions below are equivalent. Is he correct? 2(3d - 2) and 6d - 2
A: No, when you distribute 2(3d - 2) you get 3d - 4 .Suraj did not distribute correctly.
B: Yes, when you factor 6d - 2 you get 2(3d - 2)
C: No, when you distribute 2(3d - 2) you get 6d - 4. Suraj did not multiply 2 by -2 correctly
D: Yes, when you distribute 2(3d - 2) you get 6d - 2.
2: Using the expressions (3x - 5y) and (4x + 2y),find the sum of the two given expressions.
A: 7x + 7y
B: 7x + 3y
C: x - 7y
D: 7x - 3y
3: Using the expressions (3x - 5y) and (4x + 2y), find the difference of the two given expressions.
A: -x - 7y
B: x - 3y
C: x - 7y
D: x + 3y
4: Factor: 30a + 35b.
A: 5(6a + 7b)
B: 5b(6a + 7)
C: this expression is already factored
D: 5a(6 + 7b)
wwhich expression has a value of 8/15
Answer:
8 divide 5
Step-by-step explanation:
I don't know how to do the divistion simbole.
Answer:
8 divide 5
Step-by-step explanation:
like the other person
The volume of Cube A is 64 cubic inches. The face of Cube B has an area of 81 square inches. Which cube has a greater side length?
The side length of Cube A is inches. The side length of Cube B is
(Simplify your answers.)
inches Cube
has a greater side length.
The answer to this question is:
Cube B has greater side length.
We know that the volume of cube = ( a )³
(where a represents the cube's sides length.)
Given that:
Volume of Cube A = 64 cubic inches = 64 in³
Volume of Cube B = 81 cubic inches = 81 in³
Length of side by cube = ∛Volume
Length of side of Cube A = ∛64 = ∛ 2*2*2*2*2*2*
= 2*2
= 4 inches
Length of side of Cube B = ∛81 = ∛ 3*3*3*3
= 3√3
=3*1.732 = 5.196 inches
Length of side of cube A < Length of side of cube B
4 inches < 5.196 inches
Thus, Cube B has greater side length.
Therefore, Cube B has greater side length.
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For a taxi driver, which measures must be accurate? Check all that apply.
A. Price per mile
B. Distance traveled by customer
C. Price if gasoline per gallon
D. Number of customers per day
Answer:
Them all as he has to know how far he travels the customer rate to see is there is an increase of decrease price of gasoline to see if it's affecting g his outcome and price per miles for obvious reasons haha
Answer:
the answer B. Distance traveled by customer
IF THE RATIO IN A VALENTINE'S
DAY CANDY BOX OF MILK TO DARK
CHOCOLATES IS 23. HOW MANY
DARK CHOCOLATES ARE THERE IF
THERE ARE 8 MILK CHOCOLATES?
Answer:
12 dark chocolates
Step-by-step explanation:
Let there are 2x milk chocolates and 3x dark chocolates.
Total no of milk chocolates = 8
ATQ,
2x = 8
x = 4
Dark chocolates = 3x
= 3(4)
= 12
Hence, there are 12 dark chocolates.
What is the y coordinate of the solution 3x+2y=12
Answer:
12
Step-by-step explanation:
3x+2y=12
2y=-3x+12
y=-3/2+12
Honestly you dont have to do any of this work but i did it anyways, The y coordinate is always at the end of the point intercept form (y=mx+b form)
10
A bulletin board has an area of 7 square yard and a length of įyard. The bulletin board is
divided into 6 equal section. What’s the area of each selection
Morris Katz bought four new tires at Goodyear for $95.85 per tire. Goodyear also charged Morris $2.68 per tire for mounting, $2.58 per tire for valve stems, and $4.13 per tire for balancing. Assume no tax.
What was Morris’s total cost for the four tires?
Round your answer to 2 decimal places.
Answer:
$420.96
Step-by-step explanation:
95.85+2.68+2.58+4.13=$105.24
105.24*4=$420.96
Adult and student tickets to the high school basketball game are sold each week. for every two adult tickets seven students tickets are sold. how many total tickets were sold if 92 adult tickets were sold?
Answer:
414
Step-by-step explanation:
the ratio of adult tickets to student tickets = 2 to 7 num of student tickets / 92 = 7 / 2 ... x = 414 total tickets sold.
If Jack's salary went from $15 per hour to $17 per hour this year, find the percent increase
Answer: 13%
Step-by-step explanation:
17$-15$ = 2$
15$ x 0.13 = 1.95$
An artificial pond is stocked with an initial population of 2,500 fish. The engineers estimate a 24% decline in the fish population over time without restocking or effects of fishing. The following function models the population, where x is the number of years since the pond was made.
f(x) = 2,500(0.76)x
The mathematical range of the function is y > 0. Which statement describes how the reasonable range compares to the mathematical range?
The reasonable range has a minimum value of 2,500.
The reasonable range has a maximum value of 2,500.
The reasonable range has a reasonable minimum that cannot be determined.
The reasonable range has a reasonable maximum that cannot be determined.
Answer:
B) the reasonable range has a maximum value of 2,500
Step-by-step explanation:
The reasonable range has a maximum value of 2500.
What is mathematical range?
'The Range is the difference between the lowest and highest values.'
According to the given problem,
f(x) = 2500 × [tex]0.76^{x}[/tex]
Number of years = x
⇒ x ≥ 0
⇒ f(x) ≤ 2500 × [tex]0.76^{0}[/tex]
= 2500
Hence, we can conclude, the reasonable range has a maximum value of 2500.
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pls solve these question step by step.
Answer: Apple price = Rs 75 per kg & Orange price = Rs 45 per kg
Step-by-step explanation:
Creative Section- A
a) 4kg apples + 6 kg oranges = Rs 570
3kg apple price = 5 kg orange price
Let, apple = x , orange = y
Now, 4x+6y= 570
3x=5y ⇒ 3x-5y= 0
Subtract two equations,
x+11y=570
⇒ x + (33x/5) = 570
⇒ 7.6x = 570
⇒ x = 75, y= 45
Apple price = Rs 75 per kg
Orange price = Rs 45 per kg
Please answer this correctly without making mistakes
Answer:
The 30 percent would be the way to go on this one. (Blue coupon)
Step-by-step explanation:
well the purple cupon final pric would Be 956.5-250= 706.5
The blue which we can multiply 0.7 and 956.5 which will get you 669.55.
The blue upon should be used in order to save the most
There are 14 reams of paper in a case. How many total reams of paper are in 13 cases?
Answer:
182
Step-by-step explanation:
just times it. thats the answer
Find the sum of -8x^{2}+9x−8x 2 +9x and -6x^{2}+10x−6x 2 +10x.
Answer:
-14x² +19x
Step-by-step explanation:
You want the sum of the expressions (-8x² +9x) and (-6x² +10x).
SimplificationThe sum is found by adding like terms: terms with the variable to the same power.
(-8x² +9x) + (-6x² +10x)
= (-8 -6)x² +(9 +10)x
= -14x² +19x
HELP PLEASE!!! I NEED A ANSWER ASAP
Combine like terms to simplify the expression: b - 3b + 15 - w + 4.
A. -2b - w + 11
B. -2b - w + 19
C. 2b - w + 19
D. 17bw
Answer:
B
Step-by-step explanation:
b - 3b + 15 - w + 4
-2b-w+19
Answer:
B.
Step-by-step explanation:
-2b
combine 15 and positive 4 to get 19
keep the -w
GIVING BRAINIEST IF CORRECT!!!!
What is the product of 2 rad 5 and 10 rad 30 in simplest radical form?
Answer: 100√6
Step-by-step explanation:
Start out by multiplying the 2 by the 10 to get 20.
Then, multiply √5 and √30 together to get √150. The largest perfect square within √150 is √25 (don't forget about your √6)
√25 is 5. Multiply your 20 and 5 together to get 100, and then put your √6 next to the 100 since it cannot be added or multiplied since they are not like-terms.
Thus, leaving you with an answer of 100√6.
2. Grant works as a salesperson at a seasonal market. During the Christmas season, he
gets a 15 percent commission on every tree he sells. If he sold 12 trees today, with an
average sale price of $35 per tree, what amount of commission will he make?
Grant will make $63 commission on 12 trees he sold.
Given that, Grant works as a salesperson at a seasonal market. He gets a 15 percent commission on every tree he sells. If he sold 12 trees then we have to calculate the amount of commission he will get if the average sales price of a tree is $35.
So, first we will calculate the amount of commission Grant will get if he sold one tree.
∴ The commission on one tree will be equals to 15 percent on the sales price of a tree i.e., $35.
⇒ 15% of $35
= 15/100 x 35
= 5.25
Therefore, Grant will get $5.25 commission on selling one tree.
He sold 12 trees on that day. So, the total amount of commission he will get on 12 trees will be equal to,
= 12 x 5.25
= 63
Therefore, $63 is the amount of commission Grant will made on the sale of 12 trees.
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a) Solve by determinant method: x - y = 2, 2x + 3y = 4
Answer:
x = 2
y = 0
Step-by-step explanation:
x - y = 2
2x + 3y = 4
Using creamers rule of determinants, we have;
D =
|1 1|
|2 3|
Thus; D = (1 × 3) - (1 × 2)
D = 1
Dx =
|2 1|
|4 3|
Dx = (2 × 3) - (1 × 4)
Dx = 2
Dy =
|1 2|
|2 4|
Dy = (1 × 4) - (2 × 2)
Dy = 0
Thus;
x = Dx/D = 2/1
x = 2
y = Dy/D = 0/1
y = 0