Answer:
Step-by-step explanation:
To find the volume of a cone, we need to use the formula:
Volume = (1/3) * π * r^2 * h,
where π is the mathematical constant pi (approximately 3.14159), r is the radius of the base of the cone, and h is the height of the cone.
Given that the diameter of the cone is 12 m, we can find the radius by dividing the diameter by 2:
radius = diameter / 2 = 12 m / 2 = 6 m.
Now we can substitute the values into the volume formula:
Volume = (1/3) * π * (6 m)^2 * 5 m.
Calculating the volume:
Volume = (1/3) * 3.14159 * (6 m)^2 * 5 m
= (1/3) * 3.14159 * 36 m^2 * 5 m
= 3.14159 * 6 * 5 m^3
= 94.24778 m^3.
Therefore, the volume of the cone is approximately 94.25 cubic meters.
What is the value of the angle marked m?
Note: m is not a straight line!
Answer:
m = 145 °
Step-by-step explanation:
In the given figure XYZO
∠X + ∠Y + ∠Z + ∠XOZ = 360°
∠XOZ = 360 ° - 33 ° - 22 ° - 90 °
= 360 ° - 145 °
= 215 °
∠ m + ∠ XOZ = 360 °
∠m = 360 ° - 215 °
= 145 °
Find the slope.
X Y
-3 0
0 2
3 4
-6 -2
6 6
m = _____
Answer:
2/3
Step-by-step explanation:
use the slope formula: m=y2-y1/x2-x1
there are 32 student in a class 7 sun I'f the ratio of boys and girls is 5:3 find the number of boys and girla
Answer:
there are 20 boys and 12 girls
for any triangle the sum of the measure of the three angles equals 180. In one triangle the largest angle is 14 less than 5 times the smallest angle. the middle angle is 5 more 3 times the smallest angle. what is the measure of the smallest angle?
i need helppp asap 7x+3=4x-9
Answer: -4
Step-by-step explanation: Hello! :) To get started we need to use the equation 7x+3=4x-9, First, we need to subtract 4x from both sides to get 3x+3=-9, then we need to subtract 3 on both sides to get 3x=-12, Finally, we need to divide both sides by 3 to get x = -4. So x = -4.
Hope this helps!
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URGENTTT PLEASE!! in middle of test help!
I WILL MARK BRAINIEST! if you answers in under 5mins!
Answer:
equation: 2(2w + 2) = 60
length = 16
width = 14
Step-by-step explanation:
width = w
length = w + 2
perimeter = 2(w + w + 2) = 60
equation: 2(2w + 2) = 60
4w + 4 = 60
4w = 56
w = 14
width = 14
length = w + 2 = 14 + 2 = 16
length = 16
encuentre el sistema de desigualdades que describe la region sombreada
Bill's Grill is a popular college restaurant that is famous for its hamburgers. The owner of the restaurant, Bill, mixes fresh ground beef and pork with a secret ingredient to make delicious quarterpound hamburgers that are advertised as having no more than 25% fat. Bill can buy beef containing 80% meat and 20% fat at $0.85 per pound. He can buy pork containing 70% meat and 30% fat at $0.65 per pound. Bill wants to determine the minimum cost way to blend the beef and pork to make hamburgers that have no more than 25% fat. For every problem: 1. Formulate an LP model 2. Find the optimal solution by using Excel Solver and submit Excel Template with your solution results. 3. Provide an interpretation of the Sensitivity Report.
The main answer is to set up a linear programming model to minimize the cost of the hamburger mixture while satisfying the fat and meat content constraints, and then use Excel Solver to find the optimal solution.
To formulate an LP model for Bill's Grill problem, let's define the decision variables and the objective function:
Decision Variables:
Let x be the amount of beef (in pounds) used in the hamburger mixture.
Let y be the amount of pork (in pounds) used in the hamburger mixture.
Objective Function:
Minimize the cost of the hamburger mixture: Cost = 0.85x + 0.65y
Subject to the following constraints:
1. Fat Constraint: The fat content in the hamburger mixture should be no more than 25%.
0.20x + 0.30y ≤ 0.25(x + y)
2. Meat Constraint: The meat content in the hamburger mixture should be at least 75%.
0.80x + 0.70y ≥ 0.75(x + y)
3. Non-negativity Constraint: The amounts of beef and pork used should be non-negative.
x ≥ 0
y ≥ 0
By solving this linear programming model using Excel Solver, you can find the optimal solution that minimizes the cost while satisfying the fat and meat content constraints. The sensitivity report generated by Excel Solver will provide valuable information about the solution, including the shadow prices (dual values) associated with the constraints, which represent the rate of change in the objective function with respect to the constraint coefficients.
Please note that the Excel template and detailed solution results would require a specific file format that cannot be provided through this text-based interface. I recommend using Excel software with Solver add-in to set up and solve the LP model for Bill's Grill problem.
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The product of 3! isA 1B 2.C 3D 6
Recall that n factorial is equal to
\(n!=n\times(n-1)\times(n-2)\ldots\times1\)Therefore, 3!
\(3!=3\times2\times1=6\)please helppppppppppppp
Answer:
a
Step-by-step explanation:
Divide the money raised by the number of laps skated.
$600.00 ÷ 1200 = $0.50 → a
so SU All wealthy people travel by air. Everyone who does not travel by air travels by road. Therefore, poor people always travel by road. Is the argument valid.
Answer:
no, its not because its showing an ad hominem fallacy.
Step-by-step explanation:
brainliest?
Answer:
wealthy people travel by plane
other people travel by road
poor people travel by road
is the argument valid ANS:no
other people who do not travel on plane travel on car
and people who are poor travel on feet
The top of square table has an area of 24 square feet. What is the length of 1 edge of the tabletop?
The length of one edge of the tabletop is 4.89 feet.
We know that square is a shape that has all the side equal. Based on this using the formula to find the length of edge of the tabletop.
The area of square table is given by the formula -
Area of square table = side²
We will keep the value of area of square table to find the value of side which will be length of edge
24 = side²
Side = ✓24
Taking square root for the value on right side of the equation
Side = 4.89
Hence, the length of one edge of the tabletop is 4.89 feet.
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It takes an older computer twice as long to send out a company's email as it does a newer computer. working together, it takes the two computers 5 minutes to send out the email. how long will it take the newer computer to send out the email on its own?
Answer:
7.5 minutes
Step-by-step explanation:
You want the time it takes a newer computer to do a job that gets done in 5 minutes when the new computer works with one that takes twice as long.
SetupLet n represent the number of minutes it takes the new computer to do the job. Then it completes 1/n of the job in each minute. If it takes the older computer 2n minutes to do the job, then that computer completes 1/(2n) of the job in each minute.
Together the two computers complete 1/5 of the job in each minute:
1/n + 1/(2n) = 1/5
SolutionMultiplying by 5n gives ...
5 + 5/2 = n
15/2 = 7.5 = n
The newer computer can complete the job on its own in 7.5 minutes.
__
Additional comment
Rates in the form job/time will add when the work is done in parallel (simultaneously). If the work is done in series (sequentially), then the times in the form time/job will add.
<95141404393>
PLEASE HELP..... PLEASE THX
Answer:
x = 30 and y = 50
Step-by-step explanation:
Given that,
The cost of 4 shirts and 1 pair of pants is $170 and the cost of 5 shirts and 2 pair of pants is $250.
Let the cost of 1 shirt is x and that of 1 pant is y.
So,
4x+y=170 .....(1)
5x+2y = 250 .....(2)
Multiply equation (1) by 2.
8x+2y=340 .......(3)
Subtract equation (2) from (3).
8x+2y-(5x+2y)=340-250
3x = 90
x = 30
Put the value of x in equation (1).
4(30)+y=170
120+y=170
y = 170-120
y = 50
Hence, the value of x is 30 and that of y is 50.
Which inequality does this graph show? A. y > 0 B. y < 0 C. D.
Answer: The answer is B) y < 0
Answer: B
Step-by-step explanation:
David buys 3 movie tickets for $6 each and 2 bags of popcorn
for $2 each. Simplify the expression 3.6 +2.2 to find out how
much money David spent in all
Answer:
5.8 thats the answer you get when it is simplified and 1 movie ticket=$2 and 1 bag of popcorn= $1
Step-by-step explanation:
Which one of the following statements is not true concerning PivotTables in Excel? O a. PivotTables are also known as crosstabulation tables. b. PivotTables summarize data for two variables. c.PivotTables can be built using data arrayed in rows. d. PivotTables are interactive.
The statement that is not true concerning PivotTables in Excel is b. PivotTables summarize data for two variables. PivotTables can summarize data for multiple variables, not just two.
PivotTables allow you to analyze and summarize data from various perspectives, including multiple variables, by grouping, filtering, and calculating values based on different criteria. They provide flexibility in summarizing and organizing data in a tabular format, making it easier to extract insights and perform data analysis efficiently.
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Which statement is true about the given statement?
Answer:
c. BD ≈ CE
Step-by-step explanation:
All four points are equal distance away from each other. this means the distance from B to D and the distance from C to E should be similar.
A tank is full of water. Find the work (in ft−lb ) required to pump the water out of the spout. Use the fact that water weighs 62.5lb/ft 3 . (Round your answer to the nearest whole number.) 1rustum us a cone (i) ft−lb
We need to find the work required to pump the water out of the spout. We are also given that water weighs 62.5lb/ft^3.Let us assume that the tank is a cone. The formula for finding the volume of a cone is given by V = 1/3 × πr^2h, where r is the radius and h is the height.
Let us assume that the height of the cone is h, and the radius of the cone at the top is R and at the bottom is r. The volume of the cone is given by the formula: V = 1/3 × πh(R^2 + Rr + r^2) Given that the tank is full of water. Let us assume that the height of the tank is H. Now the volume of water in the tank is equal to the volume of the cone. Thus we have: V = 1/3 × πh(R^2 + Rr + r^2)
= πr^2H
Substituting the value of V from the first equation in the second equation, we get:1/3 × πh(R^2 + Rr + r^2) = πr^2H
Therefore h = 3H(R^2 + Rr + r^2) / (R^2 + Rr + r^2)
Using the formula to find the work done, we have: Work = Force × Distance .Let us assume that the distance of the water from the spout is d. Therefore the work done to pump the water out of the spout is given by: Work = Force × d =mass × g × d
Here, g = 32.2 ft/s^2 (acceleration due to gravity)
mass = density × volume
The density of water is given as 62.5 lb/ft^
The volume of water is given by the formula: V = 1/3 × πh(R^2 + Rr + r^2)
Therefore,
mass = density × volume
= 62.5 × 1/3 × πh(R^2 + Rr + r^2)
Substituting the value of h from the equation (1), we have: m = 62.5 × 1/3 × π × [3H(R^2 + Rr + r^2) / (R^2 + Rr + r^2)] × (R^2 + Rr + r^2)
= 62.5 × πHR^2
We know that Work = Force × d
= mass × g × d
Therefore, the required work to pump the water out of the spout is 2019 ft-lb.
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Which of the following equations has no solution?
O 7x - 3x - 4 = 4
O 7x - 3x + 4 = 4
O 3(2x - 4) = 6(x - 2)
O 3(2x - 4) = 6(x + 2)
Answer:
The answer is the choices D which is the 3(2x - 4) = 6(x + 2)
Step-by-step explanation:
I hope that helps
help me polssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Answer:
2560
Step-by-step explanation:
10%/100% = 256/x
100/10=10
256x10 = 2560
#6: At the end of March, a computer company has a net worth of
-$18,684. By the end of December of the same year, the company's net
worth had increased by $34,712. What was the company's net worth at
the end of December? *
$16,028
$-16,028
$53,396
-$53,396
Answer:
$16,028
Step-by-step explanation:
take $34,712 and add -$ 18,684
Explain what the equation
4h = -14 represents.
-4. Temperature dropping per hour
h , Number of hours
-14. Temperature after 'h' hours
What value of h makes the equation true?
What value of h makes the equation true
Answer:
value of h makes the equation true is -3.5
Step-by-step explanation:
=> 4h = -14
multiply both side by h
=> \( \frac{4h}{4} = \frac{ - 14}{4 } \\ \)
=> \(h = \frac{ - 14}{4} \)
divide -14 by 4
÷> h = - 3.5
Mr d bought 24 boxes of pizza. She gave 18 boxes of pizza to Mr.Cruz. What is the percentage of pizza mr. D has left.
Answer:
25%
Step-by-step explanation:
She has 24 pizza which we will represent as 100%
24 = 100%
/8
3 = 12.5%
Now we need to find out how many percent 18 pizza represent
18 / 3 = 6
6 x 12.5 = 75
Now, we know that Mr. D gives away 75% which means that they are left with 25% (100-75)
Convert into a mixed number.
19/01
7
Answer: 2 3/7
Step-by-step explanation:
for a random variable z, its mean and variance are defined as e[z] and e[(z − e[z])2 ], respectively.
For a random variable z, its mean and variance are defined as e[z] and e[(z − e[z])2 ], respectively.
What is a random variable?
A random variable is a set of all possible values for which a probability distribution is defined. It is a numerical value assigned to all potential outcomes of a statistical experiment.
What is the mean of a random variable?
The mean, sometimes referred to as the expected value, is the sum of the product of each possible value multiplied by its probability, giving the value that summarizes or represents the center of the distribution of a set of data.
What is the variance of a random variable?
The variance is the expected value of the squared deviation of a random variable from its expected value. It determines how much the values of a variable deviate from the expected value.What is the formula for the mean of a random variable?
The formula for the mean of a random variable is:E(X) = ∑ xi * P(xi)
What is the formula for the variance of a random variable?
The formula for the variance of a random variable is:Variance(X) = ∑ ( xi - mean )² * P(xi)where 'mean' is the expected value.
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3.find the measure of each missing angle
Answer:
Angle 1= 69
Angle 2= 37
Angle 3= 106
Angle 4= 21
Step-by-step explanation:
(Angle 2) The box in the corner is a 90-degree angle. So, 90-53=37
(Angle 1) Now that you have angle 2, add 37+74. You get 111. Subtract 180 and 111.
The answer for angle one is 69.
(Angle 3) Since it is a line, the two angles combined are 180 degrees. 180-74= 106.
(Angle 4) Now that you have angle 3, add 106 and 53. You will get 159. 180-159= 21
Need help will give you the brainliest
Answer:
2(9r) and 18r are equivalent
3 7th grade math questions please answer asap will give brainlist thingy
Answer:
1. Equation: x/-9=-16
solution: x=144
2. Equation:15*x=-75
solution: x=-5
3.Equation:0.75n=36
solution: n=48
Step-by-step explanation: