Answer:
The answer would be 1.4 trillion hope that helps!
Step-by-step explanation:
According to the U.S. Department of Agriculture, the average dairy cow can consume up to 200 L of water daily. An additional 120 L per cow per day is required to wash the milking equipment and milking area. How many liters of water are required to operate this dairy daily
If there are 100 cows in this dairy, it requires a total of 32000 L of water daily to operate the dairy. According to the U.S. Department of Agriculture, the average dairy cow can consume up to 200 L of water daily.
An additional 120 L per cow per day is required to wash the milking equipment and milking area. So, in total, a single cow requires 320 L of water per day. For instance, suppose there are 100 cows in this dairy.
To determine the total quantity of water required for the day, multiply the amount of water needed per cow by the number of cows:100 cows × 320 L/cow = 32000 L
Therefore, if there are 100 cows in this dairy, it requires a total of 32000 L of water daily to operate the dairy.
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If f(x)=16x-30 and g(x)=14x-6, for which value of x does (f-g)(x)=0?
12
13
14
The value of x for which (f - g)(x) = 0 is x = 12.
To find the value of x for which (f - g)(x) = 0, we need to subtract g(x) from f(x) and set the resulting expression equal to zero. Let's perform the subtraction:
(f - g)(x) = f(x) - g(x)
= (16x - 30) - (14x - 6)
= 16x - 30 - 14x + 6
= 2x - 24
Now, we can set the expression equal to zero and solve for x:
2x - 24 = 0
Adding 24 to both sides:
2x = 24
Dividing both sides by 2:
x = 12
Therefore, the value of x for which (f - g)(x) = 0 is x = 12.
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Simplify the expression 3.2 + (b + 5.7) Explain each step.
Answer:
b +8.9
Step-by-step explanation:
You want to simplify 3.2 + (b + 5.7) with an explanation of each step.
SimplificationSimplification generally means eliminating parentheses and combining like terms. The final expression can be written in standard form, meaning the terms are in order of decreasing exponent of the variable.
Stepseliminate the unneeded parentheses: 3.2 +b +5.7swap the first two terms: (commutative property of addition) b +3.2 +5.7perform the addition of the constants: b +8.9The simplified expression is b +8.9.
Use the two yellow points to write the equation in slope-intercept form. Write any coefficients as integers, proper fractions, or improper fractions in simplest form.
The equation of the line passing through the two yellow points in slope-intercept form is y = 3x - 21.
Since we only have two points, we can use the point-slope form of a linear equation to find the equation of the line passing through the two points.
The point-slope form of a linear equation is given by:
y - y1 = m(x - x1)
where (x1, y1) is one of the points on the line, m is the slope of the line.
Let's use the point (8, 3) and (10, 9):
\(m = (y2 - y1) / (x2 - x1)\\\\m = (9 - 3) / (10 - 8)\\\)
m = 3
Using the slope-intercept form of a linear equation, we can write:
\(y - y1 = m(x - x1)\\y - 3 = 3(x - 8)\)
Simplifying the above equation, we get:
y - 3 = 3x - 24
y = 3x - 21
Therefore, the equation of the line passing through the two yellow points in slope-intercept form is y = 3x - 21.
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a parking garage charges the rates in the table below. what is the rate of change? don’t forget your units.
y= -3+ 2x
3x+2y=2
I need help ASAP
What the solution for this someone pls
F(x)=3x-5;given f^-1(x)=0
Answer:
Step-by-step explanation:
3x - 5 is f^(-1) (x) = (1 / 3) x + (5 / 3), which is a linear expression.
Let X 1 ,X 2 ,…,Xn be iid Bern(p) random variables, so that Y=∑ i=1n X i is a Bin(n,p) random variable. (a) Show that Xˉ =Y/n is an unbiased estimator of p. (b) Show that Var( Xˉ )=p(1−p)/n. (c) Show that E{ Xˉ (1− Xˉ )}=(n−1)[p(1−p)/n]. (d) Find the value of c such that c Xˉ (1− Xˉ ) is an unbiased estimator of p(1−p)/n.
a) X is an unbiased estimator of p. b) The Var(X) is p(1-p)/n. c) The E[X(1-X)] is (n-1)[p(1-p)/n]. d) The value of c is c = 1/(n-1).
(a) To show that X = Y/n is an unbiased estimator of p, we need to show that E[X] = p.
Since Y is a sum of n iid Bern(p) random variables, we have E[Y] = np.
Now, let's find the expected value of X:
E[X] = E[Y/n] = E[Y]/n = np/n = p.
Therefore, X is an unbiased estimator of p.
(b) To find the variance of X, we'll use the fact that Var(aX) = a^2 * Var(X) for any constant a.
Var(X) = Var(Y/n) = Var(Y)/n² = np(1-p)/n² = p(1-p)/n.
(c) To show that E[X(1-X)] = (n-1)[p(1-p)/n], we expand the expression:
E[X(1-X)] = E[X - X²] = E[X] - E[X²].
We already know that E[X] = p from part (a).
Now, let's find E[X²]:
E[X²] = E[(Y/n)²] = E[(Y²)/n²] = Var(Y)/n² + (E[Y]/n)².
Using the formula for the variance of a binomial distribution, Var(Y) = np(1-p), we have:
E[X²] = np(1-p)/n² + (np/n)² = p(1-p)/n + p² = p(1-p)/n + p(1-p) = (1-p)(p + p(1-p))/n = (1-p)(p + p - p²)/n = (1-p)(2p - p²)/n = 2p(1-p)/n - p²(1-p)/n = 2p(1-p)/n - p(1-p)²/n = [2p(1-p) - p(1-p)²]/n = [p(1-p)(2 - (1-p))]/n = [p(1-p)(1+p)]/n = p(1-p)(1+p)/n = p(1-p)/n.
Therefore, E[X(1-X)] = E[X] - E[X²] = p - p(1-p)/n = (n-1)p(1-p)/n = (n-1)[p(1-p)/n].
(d) To find the value of c such that cX(1-X) is an unbiased estimator of p(1-p)/n, we need to have E[cX(1-X)] = p(1-p)/n.
E[cX(1-X)] = cE[X(1-X)] = c[(n-1)[p(1-p)/n]].
For unbiasedness, we want this to be equal to p(1-p)/n:
c[(n-1)[p(1-p)/n]] = p(1-p)/n.
Simplifying, we have:
c(n-1)p(1-p) = p(1-p).
Since this should hold for all values of p, (n-1)c = 1.
Therefore, the value of c is c = 1/(n-1).
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I need help with this assignment
Find MP.
Segment addition
Answer:
MP = 29
Step-by-step explanation:
MP = 5y + 9
MP = MN + NP
MP = 17 + 3y
Step 1 - As both equations are equal to MP:
3y + 17 = 5y + 9
Step 2 - Subtract 9 from both sides to isolate the 5y:
3y + 17 - 9 = 5y + 9 - 9
3y + 8 = 5y
Step 3 - Subtract 3y from both sides:
3y + 8 - 3y = 5y - 3y
8 = 2y
Step 4 - Divide both sides of the equation by 2:
\(\frac{8}{2} = \frac{2y}{2}\\4 = y\)Step 5 - Plug known variable y back into the equation:
5y + 9 = MP
5(4) + 9 = MP
20 + 9 = MP
MP = 29
Hope this helps!
Use the five -step strategy for solving word problems to find the number described. When 40% of a number is added to the number, the result is 140 .
The number described in the problem is 100.
Step 1: Understand the problem
The problem states that when 40% of a number is added to the number, the result is 140.
Step 2: Identify the unknown
We need to find the number described in the problem.
Step 3: Translate into an equation
Let's assume the unknown number is x. According to the problem, when 40% of x is added to x, the result is 140. Mathematically, we can write this as:
x + 0.4x = 140
Step 4: Solve the equation
Combining like terms on the left side of the equation:
1.4x = 140
Dividing both sides of the equation by 1.4:
x = 140 / 1.4
Simplifying:
x = 100
Step 5: Check the solution
We need to verify if our solution is correct by substituting x = 100 back into the original equation:
100 + 0.4(100) = 140
100 + 40 = 140
140 = 140
The equation holds true, so our solution x = 100 is correct.
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Which expression can have a remainder greater than 6?
A: ■ ÷ 2
B: ■÷ 4
C: ■÷ 6
D: ■ ÷ 8
PLIS HELP!
the answer is D
Hopefully this helps you!
please helppppp
Which statement is not true?
A. A probability of 0.3 indicates an unlikely event.
B. A probability of 0.8 indicates a likely event.
C. A probability of 1 indicates an event is certain.
D. A probability of 0 indicates a likely event.
Answer:
The answer is D
Step-by-step explanation:
B/c when probability comes 0 it is impossible out comes
Water park has pools, slides, and rides that, in total, make use of 4. 1×10^7 gallons of water. They plan to add a ride that would make use of an additional 5. 9×10^3 gallons of water. Use scientific notation to express the total gallons of water made use of in the park after the new ride is installed
After the installation of the new ride, the total gallons of water used in the water park will be 4.1059 × 107 gallons of water.
A water park has pools, slides, and rides that make use of 4.1 × 107 gallons of water. They are planning to install a new ride that will utilize an additional 5.9 × 103 gallons of water.Using scientific notation to express the total gallons of water that the water park will use after the new ride is installed. We can add the given numbers of gallons using scientific notation to calculate the new total. Therefore,4.1 × 107 + 5.9 × 103=4.1 × 107 + 0.0059 × 107=(4.1 + 0.0059) × 107=4.1059 × 107 gallons of water.Thus, after the installation of the new ride, the total gallons of water used in the water park will be 4.1059 × 107 gallons of water.
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a researcher takes a census of every person who attends her party and uses the data that is collected to make estimations of population parameters for her city. the researcher is
Based on the given information, the researcher who takes a census of every person who attends her party and uses the data to make estimations of population parameters for her city is likely a social scientist or a demographer.
A census is the process of collecting data from every individual in a specific population or group. By taking a census of every person who attends her party, the researcher is gathering comprehensive data on a sample of the population. This data can then be used to make estimations or predictions about the entire population of the city.
The researcher who conducts a census and utilizes the collected data to estimate population parameters for her city is likely a social scientist or a demographer. They use statistical techniques to analyze the data and draw conclusions about the population as a whole.
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The researcher in the question is performing a census of her party attendees to make estimations about the larger population of her city. This can lead to biases as the sample may not be completely representative of the city's population. A method that can mitigate this is random sampling, which selects individuals with equal probability from the entire population.
Explanation:The researcher in question is performing a practice known as census. A census is the process of systematically acquiring and recording information about the members of a given population, in this case, the attendees of her party. This method is leveraged to derive insights about a larger population, like her city, a term otherwise known as population parameters. The researcher is assuming that her party attendees are representative of the larger population of her city.
However, it's important to note that any findings made from this data must be interpreted with caution as they may not be completely accurate. This is because the party attendees (the sample) may not be completely representative of the entire city's population and thus could lead to biases in the estimation of population parameters.
A more scientifically accurate method she could deploy is random sampling, where every member of the entire city's population has an equal chance of being selected. This method reduces biases and increases the generality of the results.
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Sam will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $65 and costs an additional $0.30 per mile driven. The
second plan has no initial fee but costs $0.80 per mile driven. How many miles would Sam need to drive for the two plans to cost the same?
Sam would need to drive for the two plans to cost the same is 130 miles.
Let, x = Number of miles driven
y = Total cost
The first plan:
Initial fee = $65
Cost of 1 mile = $0.3
Cost of drive x mile = $0.3x
In total, you will pay
y = 0.3x + 65 for the first plan.
The second plan:
There are no initial costs, but
Cost of 1 mile = $0.80
y = 0.80x
Now we have two equations
y = 0.3x + 65
y = 0.80x
As we know that y is equal to both 0.3x + 65 and 0.80x, this means we can equate the right hand sides and solve for x.
0.3x + 65 = 0.80x
0.80x - 0.3x = 65
0.5x = 65
x = 65÷0.5
x = 130
The cost of two plans will be same when Sam drive 130 miles.
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The speed limit on a road is 50 mph. A car drives 19 miles in 22 minutes. Is the car breaking the speed limit? You must show your workings.
Answer: Yes, the car is breaking the speed limit
Work Shown:
22 min = 22/60 = 0.36667 of an hour approximately
distance = rate*time
rate = distance/time
rate = (19 mi)/( 0.36667 hr)
rate = 51.818 mph approximately
The car is slightly over the 50 mph speed limit.
Not sure what the radius is or what the answer is, help would be appreciated.
Step-by-step explanation:
According to angles of intersecting chords theorem ( angle S is also 117):
117 = 1/2 (208 + 2x-4)
so x = 15
then 2x-4 = 26 degrees
the Robersons are planning to re-pave their driveway. The length of the driveway is 7 feet longer than the width. The total area of the driveway is 144 ft.² write an equation to represent the dimensions of the driveway. now find the dimensions of the driveway.
How do you calculate percentage decrease?
The formula for calculating percentage decrease is:
Percentage Decrease = (Initial Value - Final Value| / Initial Value) x 100%
Percentage decrease is a way to quantify the amount by which a quantity has decreased as a percentage of the original value.
It is a useful tool in many areas, including finance, economics, and science, as it provides a standardized way to compare values and helps to put the decrease into perspective.
Where Initial Value is the starting value and Final Value is the value after the decrease. The absolute value operator (| |) ensures that the result is always positive, even if the final value is larger than the initial value.
For example, consider the initial value of a stock to be $100 and its value after a decrease to be $90. To find the percentage decrease, we would use the formula:
Percentage Decrease = (|$100 - $90| / $100) x 100% = 10%
This means that the value of the stock has decreased by 10% from its initial value.
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The radius of a sphere is 13 cm. Which is the volume of the sphere to the nearest tenth?
Answer:
2,929.3π cm^3
Step-by-step explanation:
KITE FLYING Jason holds a kite string taut 5 feetabove the ground. When he has run out 400 feet of string, the kite is 200√3+ 5 feet above the ground. Solve the equation h=d sin θ + c to find the angle that the kite string makes with the ground, where his the height of the kite above ground, d is the length of the string, and c is the distance from Jason's hand to the ground.
The angle that the kite string makes with the ground is 60 degrees.
To find the angle θ that the kite string makes with the ground, we can use the equation:
h = d * sin(θ) + c
where:
h = height of the kite above the ground
d = length of the string
c = distance from Jason's hand to the ground
In this case, we have the following information:
h = 200√3 + 5 feet (height of the kite above the ground)
d = 400 feet (length of the string)
c = 5 feet (distance from Jason's hand to the ground)
Substituting these values into the equation, we get:
200√3 + 5 = 400 * sin(θ) + 5
Now, let's solve for θ:
200√3 = 400 * sin(θ)
Divide both sides by 400:
(200√3) / 400 = sin(θ)
Simplifying:√3 / 2 = sin(θ)
To find the angle θ, we can use the inverse sine function (sin^(-1)):
θ = sin⁽⁻¹⁾(√3 / 2)
Using a calculator or reference table, we find that sin⁽⁻¹⁾(√3 / 2) is equal to 60 degrees.
Therefore, the angle that the kite string makes with the ground is 60 degrees.
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Maria brought home a delicious, mouth watering Italian submarine sandwich, dripping with delicious dressing, that was 6 1/8 feet long. She was going to share it with 6 of her friends. if Maria and her friends were able to share the sub equally, how much of the sub each person get?
Using division, the length of the sandwich each friends got was 1.02083ft
What is DivisionDivision is a mathematical operation that divides one number (the dividend) by another (the divisor) to find the answer (the quotient). It is one of the four basic operations in mathematics, along with addition, subtraction, and multiplication.
To determine the size each one got, we have to divide the total length of the sandwich by the number of friends.
We need to convert the mixed fraction into improper fraction or decimal
6 1/8 = 49/8 = 6.125
Now, let's divide this by 6
6.125 / 6 = 49/48 = 1.02083
The length each of her friends will get is 1.02083ft
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Which is the graph of f(x)=2(3) to the x power?
Answer:
Use a graphing calc.
Step-by-step explanation:
A map has a scale of 2.4 centimeters equals to 500 miles if two cities are 10 centimeters apart from the map how many miles apart are they in real life
Answer:
hi
Step-by-step explanation:
hi
Can u solve this for me thank u
Answer:
Part (A) → x = 5
Part (B) → m(arc RS) = 55°
Step-by-step explanation:
In the picture attached,
RU and SV are the diameters of the given circle.
Part (A),
Since RU is the diameter,
m(arc RVU) = 180°
m(arc RV) + m(arc VU) = 180°
(24x + 5) + (10x + 5) = 180
34x + 10 = 180
34x = 170
x = \(\frac{170}{34}\)
x = 5
Part (B),
Since m(arc RS) = m(arc VU) [Angles intercepted by these arcs at the center are equal because they are the vertical angles]
m(arc RS) = (10x + 5)
= (10×5 + 5)
= 55°
Okay is this correct? Pls lmk! <3
Answer:
yup!
Step-by-step explanation:
Answer:
Yes absolutely! *gives thumbs up*
Simplify each complex fraction. 3- 3/x / 1/2 - 1/x
This is the simplified form of the given complex fraction: (6 - 6/x) / x
To simplify the given complex fraction, let's break it down step by step.
The complex fraction is:
(3 - 3/x) / (1/2 - 1/x)
Step 1: Simplify the numerator (top) of the fraction.
To do this, let's find a common denominator for the numerator:
(3x - 3) / x
Step 2: Simplify the denominator (bottom) of the fraction.
To find a common denominator for the denominator, let's first simplify it:
(1/2 - 1/x)
To find a common denominator, multiply the second term (1/x) by (2/2):
(1/2 - 1/x) * (2/2) = (2/2x - 2/x)
Now, we have a common denominator for the denominator:
(2 - 2/x)
Step 3: Rewrite the original complex fraction with the simplified numerator and denominator:
(3x - 3) / x / (2 - 2/x)
Step 4: Simplify the division by multiplying the numerator by the reciprocal of the denominator:
(3x - 3) / x * (2/x - 2)
Step 5: Distribute and simplify the expression:
(3x - 3) * (2/x - 2) / x
Using the distributive property, we get:
(6x/x - 6/x) / x
Simplifying further, we have:
(6 - 6/x) / x
This is the simplified form of the given complex fraction.
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an automobile speedometer with circular scales reading both miles per hour and kilometers per hour is shown. what speed is indicated in kilometers per hour?
The
speed
indicated in kilometers per hour is 85 km/h, as shown on the circular scale of the automobile
speedometer
.
The automobile
speedometer
is an instrument that measures the speed of a vehicle. It has a circular
scale
that reads both miles per hour (mph) and kilometers per hour (km/h). To determine the
speed
in kilometers per hour, the user must first locate the needle on the scale. The needle should be pointing to a specific number that corresponds to both mph and km/h. For example, if the needle is pointing to 85, then the speed indicated in kilometers per hour is 85 km/h. It is important to note that if the needle is located between two
numbers
, the user should determine the approximate speed by interpolating the two numbers. To find the speed in miles per hour, the user can simply look at the number that corresponds to the needle on the scale. In this case, the speed indicated in miles per hour is 53 mph.
The complete question: An automobile speedometer with circular scales reading both miles per hour and kilometers por hour is shown. What speed is indicated in miles per hour? 100 120 140 80 160 *60 180 200 40 20 220 Own 240 Express your answer in miles per hour v.2 mph
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Tamika has a points card for a movie theater. she receives 20 rewards points just for signing up. she earns 10.5 points for each visit to the movie theater. she needs 167 points for a free movie ticket. write and solve an equation which can be used to determine x, the number of visits tamika must make to earn a free movie ticket.
If Tamika receives 20 rewards points just for signing up and she earns 10.5 points for each visit to the movie theater and she needs 167 points for a free movie ticket, then an equation to determine x, the number of visits Tamika must make to earn a free movie ticket is 10.5x + 20 = 167 and the value of x is calculated to be 14.
The number of visits Tamika must make can be determined by using a linear equation with one variable.
As,
reward points for signing up = 20
points for each visit = 10.5
points needed for free movie ticket = 167
If we consider x to be the number of visits required, then the linear equation can be given as,
10.5x + 20 = 167
Solving for x,
10.5x = 167 - 20
10.5x = 147
x = 147/10.5 = 14
Hence, the number of visits Tamika must make to earn a free movie ticket is equal to 14.
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