A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles with altitudes of 3 feet.(b) If the water is rising at a rate of 3/8 inch per minute when h = 2.1, determine the rate at which water is being pumped into the trough. ft3/min

A Trough Is 12 Feet Long And 3 Feet Across The Top (see Figure). Its Ends Are Isosceles Triangles With

Answers

Answer 1

Given:

A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles with altitudes of 3 feet.

The volume of the trough will be as follows:

[tex]undefined[/tex]


Related Questions

Lisa has a beige skirt, a black skirt, and a denim skirt. She has a red sweater and
a white sweater, and she has a white blouse, a blue blouse, and a green blouse.
How many different ways can she wear a skirt, sweater, and blouse together?

Answers

There are 18 combinations that Lisa can wear by shuffling skirts, sweaters, and blouses together.

Given,

Number of skirts = 3

Number of sweaters = 2

Number of Blouse = 3

By using permutation and combination formula nCr = n! ÷ (r! (n-r)!),

3C1 × 2C1 × 3C1

= (3!) ÷ ((3-1)! × 1!) × (2!) ÷ ((2-1)! × 1!) × (3!) ÷ ((3-1)! × 1!)

= (3!) ÷ ((2)! × 1!) × (2!) ÷ ((1)! × 1!) × (3!) ÷ ((2)! × 1!)

= ((3 × 2 × 1) ÷ (2 × 1 × 1)) × ((2 × 1) ÷ (2 × 1 × 1)) × ((3 × 2 × 1) ÷ (2 × 1 × 1))

= (6 ÷ 2) × (2 ÷ 1) × (6 ÷ 2)

= 3 × 3 × 2

= 18

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»How many lines of symmetry does this figure have? x​

Answers

Answer:

15

Step-by-step explanation:

3 times 697 estimate then find the product

Answers

Answer:

Product: 2091

Estimate: 2100

Step-by-step explanation:

Estimate 697 as 700

700 x 3 = 2100

Find Product

697 x 3 = 2091

Answer this question for me

Answers

Answer:

R3.97 %

Step-by-step explanation:

The earth travels one full rotation around the sun in approximately 365.25 days.

How many minutes does it take for the earth to travel one full rotation around the sun?

Show your work. Make sure to include units in your answer.

Answers

The number of minutes it takes for the earth to travel one full rotation around the sun is 529, 960

What is proportion?

A proportion can simply be described as an equation in which varying elements, or given numbers are set equal to each other.

It is seen as  a mathematical method of comparing two elements or numbers.

It is also defined as a relation that entails comparison on the basis of size or magnitude of numbers, quantities or elements.

From the information given, we have that;

The earth travels for 365. 25 days round the sun.

If 24 × 60 minutes = 1 day

Then x minutes = 365. 25 days

cross multiply, we have;

x = 24 × 60 × 365. 25

Multiply the values

x = 529, 960 minutes

Hence, the value is 529, 960 minutes

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if luna adds 1/2 cups of flour to a mixing bowl for a recipe 5 times, how much flour has she added?

Answers

Answer:

10 cups

I hope this helps, have a great day/night!

Drag a statement or reason to each box to complete the proof.

If 3(x−4)=x+4, then x=8.

Answers

In order from top to bottom, left to right

Distributive property
Addition property
3x=x+16
Subtraction property
2x=16

And then if you move further than what is shown in the photo it should be x=8 by the division property.

A model rocket reaches a maximum height of 2000 feet above ground and begins to
descend at a rate of 75 feet per second. Which equation models the height above
ground, y, of the model rocket, x seconds after it reaches its maximum height?

Answers

The equation which is best representing the height above ground, y, of the model rocket and x seconds after it reaches the maximum height is 75x + y = 2000.

The height above ground, y, of the model rocket, x seconds after it reaches its maximum height can be represent by a linear equation,

The maximum height is 2000 feet, after this the rocket starts to descend with a rate of 75 feet per second.

Let us say that when the rocket starts descending, our time is started from zero,

So, on plotting these points of graph, we can one point, (0,2000).

The rate of descend is the slope m of the graph,

m = -75 ft/s

We are taking it negative because height is decreasing with time,

We can use the point slope form of equation of line,

It says, if a line passes through (a,b) and has slope m. Then the equation of line is,

(y-b) = m(x-a)

So, our line is passing through (0,2000) and has slope -75 ft/s.

So, equation of the line is,

(y-2000) = -75(x-0)

75x + y = 2000.

This above equation of line is representing the relation between the height above ground and time of the model rocket.

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at what point does the graph of the equation y = - 2/3 x + 6 intersect the x - axis

Answers

At (9, 0), the graph of the equation y = - 2/3 x + 6 intersect the x - axis.

How to create linear equation using two variables?
If an equation is written in the form ax + by + c=0, where a, b, and c are real integers and the coefficients of x and y, i.e., a and b, respectively, are not equal to zero, then it is said to be a linear equation in two variables. Such an equation has a pair of numbers as its solution, one for x and one for y, which further equalizes the two sides of the equation. A specific point on the graph represents the solution of a linear equation in two variables, ax + by = c, where the total of these two values will equal c when the x-coordinate is multiplied by a and the y-coordinate by b. Basically, there are infinitely many solutions to a linear equation with two variables.
The linear equations can be solved using substitution method.

Given, the equation of the graph is : y = (-2/3) x + 6 -(i)
Also, the equation of x-axis is: y = 0 -(ii)
Substituting (ii) in (i), we get,
0 = (-2/3)x + 6 ⇒ (-2/3)x = -6 ⇒ (2/3)x = 6 ⇒ x = 9
Thus, the point where the graph of the equation y = - 2/3 x + 6 intersect the x - axis is (9, 0).

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The daytime temperature in Montana yesterday was -4.5 degrees, and it was expected to drop 6.5 more degrees today. What is today’s expected daytime temperature?

Answers

-11 degrees is the expected daytime temperature for today

The daytime temperature yesterday in Montana = -4.5 degrees

Expected temperature drop today = 6.5 degrees

The term "temperature" describes how hot or cold the atmosphere is and is measured with a thermometer. Temperature is reported by meteorologists in both Celsius (C) and Fahrenheit (F).

Today's expected daytime temperature:

The daytime temperature yesterday in Montana + Expected temperature drop today

But since the temperature of yesterday is negative we will use a negative sign to add the expected temperature of today. A drop in temperature will lead to a more cold temperature

= -4.5 + (-6.5)

= -11 degrees

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question is in the picture

Answers

-10=-5x+5. X=3

Answer: x=3

acceptance sampling is a statistical method used to monitor the quality of purchased parts and components. to ensure the quality of incoming parts, a purchaser or manufacturer normally samples 20 parts and allows one defect.

Answers

Let X represent the number of defects.

When n=20 and p = 0.01,

Likelihood = P(Acceptance) = P(X=0) + P(X=1)

= 20C0 * (0.01)^0 * (1-0.01)^(20) + 20C1 * (0.01)^1 * (1-0.01)^(20-1) = 0.9831

When n=20 and p = 0.02,

Likelihood = P(Acceptance) = P(X=0) + P(X=1)

= 20C0 * (0.02)^0 * (1-0.02)^(20) + 20C1 * (0.02)^1 * (1-0.02)^(20-1) = 0.9401

When n=20 and p = 0.05,

Likelihood = P(Acceptance) = P(X=0) + P(X=1)

= 20C0 * (0.05)^0 * (1-0.05)^(20) + 20C1 * (0.05)^1 * (1-0.05)^(20-1) = 0.7358

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Suppose a batch of steel rods produced at a steel plant have a mean length of 187 millimeters, and a variance of 64.
If 416 rods are sampled at random from the batch, what is the probability that the mean length of the sample rods would differ from the population mean by less than
0.65 millimeters? Round your answer to four decimal places.

Answers

Use multiple hhjjjjjhhjhhjjhhhhg

Evaluate. Write your answer as a whole number or as a simplified fraction.
4^-2 / 6^3

Answers

Answer:

Your answer is [tex]\frac{1}{864}[/tex]

Step-by-step explanation:

[tex]4^{-1}[/tex] ÷ [tex]6^{3}[/tex] [tex]= 0.0011574074[/tex] or [tex]\frac{1}{864}[/tex]

Every purchase of 30 boxes gets 1 extra Free box. Rizky
Sejahtera Bersama shop sells to its regular Warung Rp 38.000,-/box (without
giving extra). How much profit does Rizky Sejahtera Bersama's shop get for each
box?

Answers

On selling 38 boxes daily without giving extra box will profit him one box daily

What is Profit?

Profit: A profit occurs when you sell something. for more than it cost.  A business profit occurs when a business. makes more money than it spends.

Every purchase of 30 boxes gets 1 extra Free box. Rizky Sejahtera Bersama shop sells to its regular Warung Rp 38.000,-/box (without giving extra)

On selling 38 boxes daily without giving extra box will profit him one box daily

for two days if we add 38+38=76 boxes which profit him 2 boxes

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A grocery store sells steak for $3.10 per pound. To feed a family, you need 2.14 lbs. of steak. How much do you pay in total​

Answers

$6.63

Set up a proportion for the situation and solve for the unknown quantity. Round to the hundredths place because we are dealing with money.

See details:

HELP STANDARD DEVIATION
(please show work too)

What is the standard deviation of these numbers:

1,1,2,2,3,3,3,4,4,4,5,5,6,6

Answers

Answer: 1.5923926292577

Step-by-step explanation: Count, N: 14

Sum, Σx: 49

Mean, μ: 3.5

Variance, σ2:  2.5357142857143

Steps

σ2 =  

Σ(xi - μ)2

N

=  

(1 - 3.5)2 + ... + (6 - 3.5)2

14

=  

35.5

14

=  2.5357142857143

σ =  √2.5357142857143

=  1.5923926292577

you have a sample of contaminated benzoic acid that weighs 2.014 g. after performing a proper recrystallization with proper drying, the mass of your purified benzoic acid is 1.611 g. what is your percent recovery rounded to the nearest tenths? do not include the percent symbol in your answer (e.g., if your answer is 10.5%, submit your answer as 10.5).

Answers

The percent recovery of benzoic acid is equal to 80.0 if the mass of purified benzoic acid after recrystallization is 1.611 g.

The percent recovery can be described as the amount of a product available after its production and purification.

The percent recovery of benzoic acid can be calculated by using the following formula:

percent recovery of sample = (Mass of purified sample ÷ Mass of contaminated sample) × 100

Substituting the given values of contaminated and purified benzoic acid in this equation;

percent recovery = (1.611 ÷ 2.014) × 100

percent recovery = 0.7999 × 100

percent recovery = 79.99

Rounding it to the nearest tenth;

percent recovery = 80.0

Hence the percent recovery of benzoic acid is calculated to be 80.0

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Solve for U.

-3 + 2u + 6 = -8u - 7

What does U equal?

Answers

Answer:

U = -1

Step-by-step explanation:

Answer:

u=-1

Step-by-step explanation:

-3 + 2u + 6 = -8u - 7

2u-3+6=-8u-7

2u+3=-8u-7

we will collect like terms

2u+8u=-7-3

10u=-10

u=-1

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Tamika bought snacks for her team's practice. She bought a bag of oranges for $2.19 and a 12-pack of juice bottles. The total cost before tax was $8.31. Which tape diagram could be used to represent the context if xx represents how much each bottle of juice costs?

Answers

The cost of each bottle of juice is $0.51.

What is a tape diagram?

The tape diagram can be used to illustrate the relationship between the numbers that are given.

Let the cost of each bottle of juice be x.

In this case, she bought a bag of oranges for $2.19 and a 12-pack of juice bottles and the total cost before tax was $8.31.

This will be:.

2.19 + 12x = 8.31

Collect like terms

12x = 8.31 - 2.19

12x = 6.12

Divide

x = 6.12 / 12

x = 0.51

The cost is solved. Note that the tape diagrams weren't given but the.coat is solved accordingly.

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given f(x)=3x-1 and (f∘g)(x)=x^2, find g(x)

Answers

The value of  g(x) is  [tex]\frac{x^{2} }{3x-1}[/tex] of a function f(x)=3x-1 and (f∘g)(x)=[tex]x^{2}[/tex] .

As the composite equation is  [tex]f(X)=3x^{}-1[/tex]

[tex](FOG)= x^{2}[/tex]

As  [tex](FOG) =f(gx^{})\\[/tex]  

∴  [tex]3x-1(gx)=x^{2}[/tex]

⇒  [tex]gx=\frac{x^{2} }{3x-1}[/tex]

How to solve the Equation of (fog)?

(fog)(x) = f(g(x)) is pronounced "f of g of x" or "f constructed with g of x." Keep in mind that the letters in each expression for the composition remain in the same order.

A composite function is a fog. G(x) function is in f(x) function if (fog) is true. (Gof) indicates that f(x) function is in g(x) function.

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Question 5 (05.05)Based on the graph, what is the initial value of the linear relationship?

Answers

4

1) Examining that graph, we can see that this is a decreasing function, due to the line direction. And that the initial value is the y-intercept.

2) Hence, the initial value is 4. Notice that all values after that goes decreasing for y.

5 men take 28 days to build a boat. Assuming the men work at the same rate, calculate the number of men needed to build a boat in 20 days.​

Answers

5 men - 28 days
? men - 20 days
Cross multiplication:
(20x5)/28=3.57…≈4

21. Evaluate when a= 5, b= -9 and c= -32.
a. -b-c

Answers

[tex] a \times - b - c \\ =(5) \times - ( - 9) - ( - 32) \\ = 5 \times 9 + 32 \\ = 45 + 32 \\ = 77[/tex]

ATTACHED IS THE SOLUTION

Answer:

-77

Step-by-step explanation:

we replace a=5, b=-9, c=-32

5 * -9 - 32

-45 - 32

- 77

At noon the temperature was 45°F. At
7 A.M. the temperature was 17°E.colder.
The temperature at 7 P.M. Was 4°F .
warmer than at 7 A.M. What was the.
temperature at 7 P.M.?

Answers

The temperature at 7 P.M is 32 °F.

What is a temperature in fahrenheit?

Fahrenheit temperature scale, scale based on 32° for the freezing point of water and 212° for the boiling point of water, the interval between the two being divided into 180 equal parts.

Given that,

Temperature at noon = 45 °F

At 7 A.M. the temperature was 17°F colder = 45-17

                                                                      = 28 °F

The temperature at 7 P.M. Was 4°F warmer than at 7 A.M

= At 7 A.M. the temperature was 17°F colder +  4°F

= 28+4

= 32 4°F

Hence, The temperature at 7 P.M is 32 °F.

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What’s is the total weight and pounds of the books in Duane’s backpack

Answers

Part A:

Add all the values:

Convert the oz into pounds:

1oz = 16 pounds

Divide each value by 16:

55 oz = 55/16 = 0.3125 pounds

11 oz = 11/16= 0.6875 pounds

14 oz = 14/16 = 0.875 pounds

1 pound = 1 lb

3 3/4lb= 3.75 lb

2 1/4 = 2.25 lb

2lb

Now add:

Total weight = 3.75 + 0.3125+ 2.25+0.6875+0.875 = 7.875 lb

Given m|n, find the value of x.
(10x-2)°
(9x+5)°

Answers

Answer:

x = 7

Step-by-step explanation:

(10x - 2) and (9x + 5) are corresponding angles and are congruent , then

10x - 2 = 9x + 5 ( subtract 9x from both sides )

x - 2 = 5 ( add 2 to both sides )

x = 7

a racing car consumes a mean of 103 gallons of gas per race with a variance of 36. if 38 racing cars are randomly selected, what is the probability that the sample mean would be greater than 101.5 gallons? round your answer to four decimal places.

Answers

The probability that the sample mean would be greater than 101.5 gallons

P(x>101.5)=0.9382

This is further explained below.

What is the probability?

Generally, From this population, a sample with the size n=38 is taken and analyzed.

Let's say that x is the sample's mean value.

It may be concluded that the sample distribution of the x-bar is about normal with

Mean =103

Standard deviation=0.9733

Now, the expression for the probability looked for is P(x>101.5)

[tex]=&\mathrm{P}\left[\left(\bar{x}-\mu_{\bar{x}}\right) / \sigma_{\bar{x}} > \left(101.5-\mu_{\bar{x}}\right) / \sigma_{\bar{x}}\right][/tex]

Where

P=Probabilty

x=mean

[tex]\mu[/tex] is population mean

[tex]\sigma[/tex]= Standard deviation

[tex]\\&=\mathrm{P}\left[\left(\bar{x}-\mu_{\bar{x})} / \sigma_{\bar{x}} > (101.5-103) / 0.97332852678\right]\right.\end{aligned}[/tex]

= P[Z > -1.54]

P(x>101.5)=0.9382

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Use your equation to complete the table. grams of fish 1500 number of calories 3000

Answers

Answer:

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

5+5=10

NEED ANSWER ASAP WILL GIVE 35 POINTS

Which statement correctly describes the relationship between the graph of f(x) and g(x)=f(x−7)? Responses The graph of g(x) is the graph of ​f(x)​ translated 7 units left. The graph of , g begin argument x end argument, is the graph of , ​, f open argument x close argument, ​, translated 7 units left. The graph of g(x) is the graph of ​f(x)​ translated 7 units down. The graph of , g begin argument x end argument, is the graph of , ​, f open argument x close argument, ​, translated 7 units down. The graph of g(x) is the graph of ​f(x)​ translated 7 units right. The graph of , g begin argument x end argument, is the graph of , ​, f open argument x close argument, ​, translated 7 units right. The graph of g(x) is the graph of ​f(x)​ translated 7 units up.

Answers

The statement correctly describes the relationship between the graph of f(x) and g(x)=f(x−7) is the graph of f(x) translated 7 units right.

What is Graph?

The graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them.

According to the question we have

g(x)=f(x−7).

Given that f(x) then f(x + a) represents a horizontal translation of f(x).

If a > 0 then shift units left

If a < 0 then shift units right

Therefore, f(x - 7) represents a shift right of 7 units.

Hence, The statement correctly describes the relationship between the graph of f(x) and g(x)=f(x−7) is the graph of f(x) translated 7 units right.

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justin has been diagnosed with dissociative identity disorder. one of his personalities was phoebe, who was 6 years old. as justin aged, phoebe did not. phoebe is known as a . If Volume = 216 cm^3, what is the length of one edge of Julie's jewelry box? Find the 11th term of the sequence: 32805, 10935, 3645... executives acquire information about external opportunities and strengths from a variety of reports, including budgets, financial ratios, profit and loss statements, and surveys of employee attitudes and satisfaction. Simplify completely: cos/1sin what unit would you use to measure the length of a parking lot assume time, cost and quality are the three most common factors involved in trade-offs. define what is meant by each and how the impact of each may impact the other two factors? what determines which factor is most important to project success? In what what were the great civilizations of Mxico Central America and Southtowns Amrica have different Pls help Im close finishing this assignment A. No, Alexandra made a mistake going from the given expression to Step 1. Alexandra should have added 18 and 3 before evaluating the exponent. The order of operations says to perform operations inside parentheses before you evaluate exponents.B. No, Alexandra made a mistake going from Step 1 to Step 2. Alexandra should have divided 9 by 9 before adding. The order of operations says to divide before you add.C. Yes, Alexandra's work is correct. Use the vertex (0,3) and a point on the graph (2,7) to find the general form of the equation of the quadratic function. Can someone help me with this? Im not understanding what its asking of me 1. What is the difference between a homogenous and a heterogeneous mixture? 2. Give 3 examples of each mixture and explain its uses in our daily lives. A net force of 20 Newtons acts on and object of mass 5.0 kilograms for 5.0 seconds. What is the magnitude of the impulse? Orpheus and Eurydice answer key question 1-5 an astrobiologist independently samples 100 space aliens from a population of size 1000. 20% of the space aliens in the population have three or more sets of pharyngeal jaws. what is the expected number of space aliens to be sampled with three or more sets of pharyngeal jaws? What is x in the table below.Green235610Red691518XAnswer3.333303.333 "Falling off the wagon" is a term to describe Which of the following best describes why Old Man Warner's defense of the lottery is ironic?Question 10 options:A) Old Man Warner never participates in the lottery himself, so he is never at risk.B) Participating in the tradition of the lottery is a terribly uncivilized act.C) The lottery is a tradition that shows that the villagers are civilized. a mortgage company is advertising a 30 year fixed rate mortgage with monthly payments and an apr of 3.0%. what is the effective annual interest rate of this loan? The county fair charges $4 for 8 rides and $10 to getin. If you have $32, write and solve an equation tofind the number of rides (r) you can go on.