3× 1,250 in expanded form and use distributive property
A 250-kVA, three-phase, 480-volt transformer requires 75 gallons of insulating oil to keep it properly cooled. How many liters is this?
This problem can be directly solved by using a conversion factor. Simple research will tell us that 1 gallon contains about 3.78 Liter. Therefore the volume in Liter is:
volume = 75 gallons * (3.78 Liter / gallon)
volume = 283.5 Liters
A school bus uses 3/4 of a tank of gas to drive back and forth to school in a week with 5 school days. How much gas does the bus use to drive back and forth to school in a week with 4 school days? Write your answer in simplest form.
HELP PLEASE IS URGENT NEED TO PASS CLASS
Sara tells Michael she is 160 centimeters tall, while Michael says he is 60 inches tall. If there are 2.54 centimeters in an inch, who is taller?
For each of the following functions, find the maximum and minimum values of the function on the circular disk: x^2+y^2≤1. Do this by looking at the level curves and gradients.
f(x,y)=x+y+4
maximum value =
To find the maximum and minimum values of the function f(x, y) = x + y + 4 on the circular disk x^2 + y^2 ≤ 1, evaluate the function at the boundary of the disk.
Explanation:To find the maximum and minimum values of the function f(x, y) = x + y + 4 on the circular disk x^2 + y^2 ≤ 1, we can use the method of level curves and gradients.
First, find the gradient of the function f(x, y) using partial derivatives.Next, find the critical points of the function by setting the gradient equal to zero and solving for x and y.Finally, evaluate the function at the critical points and the boundary of the circular disk to find the maximum and minimum values.In this case, since the function f(x, y) = x + y + 4 is linear, it does not have any critical points. Therefore, the maximum and minimum values of the function on the circular disk x^2 + y^2 ≤ 1 are obtained by evaluating the function at the boundary of the disk.
When x^2 + y^2 = 1, the function value is largest at the point (x, y) = (-1, 0), giving a maximum value of -1 + 0 + 4 = 3. The function value is smallest at the point (x, y) = (1, 0), giving a minimum value of 1 + 0 + 4 = 5.
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How many ones in 800?
Hasan has 18 3/4 yards of fabric. It takes 3 1/6 yards to make a pillowcase. Hasan plans to make as many pillow cases as he can. How many yards of fabric is left over?
Answer:
[tex]\frac{35}{38}[/tex] yards of fabric is left over.
Step-by-step explanation:
Hasan has the total length of fabric = [tex]18\frac{3}{4}[/tex] yards
= [tex]\frac{75}{4}[/tex] yards
Hasan plans to make as many pillow cases as he can.
To make one pillow case the fabric will be needed = [tex]3\frac{1}{6}[/tex] yards = [tex]\frac{19}{6}[/tex] yards
Hasan can make the total number of pillowcases = [tex]\frac{\frac{75}{4} }{\frac{19}{6} }[/tex]
= [tex]\frac{75}{4}[/tex] × [tex]\frac{6}{19}[/tex]
= [tex]\frac{75}{2}[/tex] × [tex]\frac{3}{19}[/tex]
= [tex]\frac{225}{38}[/tex]
= [tex]5\frac{35}{38}[/tex]
He can make 5 pillow cases and [tex]\frac{35}{38}[/tex] yards of fabric would be left over.
Zeno has to go a distance, d, to get to his destination. He claims he can never get there because he has to travel half that distance d, then half of half of distance d, and so on. He says that he has to do an infinite number of tasks and that it is impossible. Use an infinite geometric series to help Zeno. Identify a1 and r to form the infinite geometric series that represents the problem.
a1=1/2d
r=1/2
sup it needs twenty character apparently
The [tex]a_{1} =\frac{d}{2}[/tex] and [tex]r=\frac{1 }{2 }[/tex] are for the infinite Geometric sequence.
What is geometric sequence ?
Geometric sequence a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.
i.e. [tex]a+ar+ar^2+ar^3+......[/tex]
Here, [tex]a=[/tex] First term and [tex]r=[/tex] common ratio
Next term formula, [tex]a_{n} =a_{1}\ *\ r^{n-1}[/tex]
We have,
[tex]d=[/tex] distance to her destination,
Now,
According to the question;
Zeno has to travel half that distance i.e. [tex]\frac{d}{2}[/tex],
Then half of half of distance i.e. [tex]\frac{d}{4}[/tex],
Then half of [tex]\frac{d}{4}[/tex] distance i.e. [tex]\frac{d}{8}[/tex] and so on.
So,
Here, we have,
[tex]\frac{d}{2},\frac{d}{4},\frac{d}{8}, .........[/tex]
So,
We have Geometric Sequence,
Here,
[tex]a_{1} =\frac{d}{2}[/tex] and
Now,
[tex]r=[/tex] common ratio,
[tex]r=\frac{a_{2} }{a_{1} }[/tex]
[tex]r=\frac{\frac{d}{4} }{\frac{d}{2} }[/tex]
We get,
[tex]r=\frac{1 }{2 }[/tex]
So, These are [tex]a_{1} =\frac{d}{2}[/tex] and [tex]r=\frac{1 }{2 }[/tex] of the Geometric sequence.
Hence, we can say that he [tex]a_{1} =\frac{d}{2}[/tex] and [tex]r=\frac{1 }{2 }[/tex] are for the infinite Geometric sequence.
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A ticket agency sells tickets to a basketball game.The agency charges $32.50 for each ticket, a convenience charge of $3.30 for each ticket and a processing fee of $5.90 for the entire order. The total charge for an order is $220.70. How many tickets were purchased?
Division is one of the four fundamental arithmetic operations. The number of tickets purchased is 6.
What is Division?Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given the following details as shown below.
The agency charges $32.50 for each ticket, A convenience charge of $3.30 for each ticket And a processing fee of $5.90 for the entire order. The total charge for an order is $220.70.Let M represent the number of tickets purchased. Therefore, we can write,
Total charge = cost of each ticket x M + convenience charge x M + processing fee
220.70 = 32.50M + 3.30M + 5.90
Subtract 5.90 on both sides
220.70 - 5.90 = 32.50M + 3.30M
214.8 = 35.8M
Divide both sides by 35.8
6 = M
This means the number of tickets purchased is 6.
Thus, the number of tickets purchased is 6.
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if it is a square is it a quadrilateral
Conduct a hypothesis test for each sample at the .01 level of significance and determine what action, if any, should be take. provide the test statistic and p-value for each test.
Olivia earned $250 a week plus 5% commission on all sales over $1,500. How much did she earn the week she sold $3,500 worth of merchandise?
3(x-2)+2(x+1)=-14
plz show work
Each _____ on the coordinate plane has an address, called the _____ _____, (x,y).
Each point on the coordinate plane has an address, called the coordinates.
What is Coordinate Plane?The coordinate plane is a two-dimension surface formed by two number lines. One number line is horizontal and is called the x-axis. The other number line is vertical number line and is called the y-axis.
The coordinate plane is a two-dimension surface formed by two number lines.
A coordinate plane, also known as a rectangular coordinate plane grid, is a two-dimensional plane formed by the intersection of a vertical line called the Y-axis and a horizontal line called the X-axis.
One number line is horizontal and is called the x-axis.
The other number line is vertical number line and is called the y-axis.
The two axes meet at a point called the origin.
Hence, Each point on the coordinate plane has an address, called the coordinates.
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Charlotte buys tickets to go to a baseball game the total includes a charge of 7% of the original price for extra fees. If Charlotte pays a total of $44.94 how much was the original price of the ticket
The original price of the ticket is $42.
Let the original cost of the ticket be represented by x
Based on the information given, the equation to solve the question will be:
x + (7% × x) = $44.94
x + (7/100 × x) = $44.94
x + (0.07 × x) = $44.94
x + 0.07x = $44.94
1.07x = $44.94
Divide both side by 1.07
1.07x/1.07 = $44.94/1.07
x = $42
Therefore, the original price of the ticket is $42.
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The original price of the ticket was $42.
Explanation:To find the original price of the ticket, we need to subtract the extra fees from the total amount Charlotte paid.
Let x be the original price of the ticket.
The extra fees would be 7% of x, which is 0.07x. Since the total paid is $44.94, we can set up the equation:
x + 0.07x = 44.94
Combining like terms on the left side gives us 1.07x = 44.94.
Next, we divide both sides by 1.07 to isolate x:
x = 44.94 / 1.07 = $42
Therefore, the original price of the ticket was $42.
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nelda baked 2 kinds of pasta in pans. each pan was the same size. She sliced one pan of pasta into 6 equal pieces. She sliced the other pan into eight equal pieces. How can the pans of pasta now be sliced so that both pans have the same size pieces?
Answer:
The first pan has to be divided into 4 equal parts.
The second pan has to be divided into 3 equal parts.
Step-by-step explanation:
The first step to solve this problem is finding the least common multiple of 6 and 8.
The multiples of 6 are {0,6,12,18,24,30,36,42,...}
The multiples of 8 are {0,8,16,24,32,...}
The least common multiple of 6 and 8 is 24.
So both kinds of pasta have to be baked so after the second step they have 24 equal parts.
So:
First pan:
The first pan was sliced into 6 equal parts.
24/6 = 4.
So each of the 6 parts have to be divided into 4 equal parts.
After the second step, they have 6*4 = 24 equal parts.
Second pan:
The second pan was sliced into 8 equal parts
24/8 = 3
So each of the 8 parts have to be divided into 3 equal parts.
After the second step, they have 8*3 = 24 equal parts.
Which is another way to check the sum of 52 + 23 + 10 + 78?
A. 78 + 10 + 23 + 52
B. 78 – 52 – 10 – 23
C. 163 – 52 + 23 + 10 + 78
D. 78 – 52 + 10 + 23
Answer:
A. 78 + 10 + 23 + 52
Step-by-step explanation:
We can solve the problem by using the commutative property: "in an addition, changing the order of the operands does not change the result.
The original addition is 52 + 23 + 10 + 78. We see that option A is exactly the same addition, only the order of the numbers has been changed:
78 + 10 + 23 + 52
Therefore, the two additions are equivalent.
Phil has three times as many rocks as peter together they have 48 rocks how many more rocks does Phil have been Peter
In the equation below, variables X and Y represent two matrices. Which property of matrix addition is illustrated below? x+y=y+x
Answer:
Matrix addition is commutative.
Step-by-step explanation:
We know that if there are two matrices X and Y of same order(i.e. same number of the rows and columns) then the addition between the two matrix is commutative i.e.
X+Y=Y+X.
While in case of multiplication of two matrices commutativity may or may not hold true.
if the smaller of two consecutive even intergers is subtracted from 3 times the larger the result is 42
If (3,6) is a point on the graph of y=f(x) , what point must be on the graph of y=f(-x)? Explain.
The function y = f(-x) has the points (-3,-6).
When we substitute -x into a function f(x) to get f(-x), we are essentially reflecting the graph of f(x) across the y-axis. This is because replacing x with -x negates the x-values, effectively flipping the function horizontally.
Given that (3, 6) is a point on the graph of y = f(x), if we substitute -3 for x in f(-x), we get:
[tex]\[ f(-(-3)) = f(3) \][/tex]
So, the corresponding point on the graph of [tex]\(y = f(-x)\)[/tex] is [tex]\((3, 6)\)[/tex] since the function values stay the same when we reflect across the y-axis. Therefore, the point [tex](-3, -6)\)[/tex] is on the graph of [tex]\(y = f(-x)\)[/tex].
What system of linear inequalities is shown in the graph?
Enter your answers in the boxes.
(graph is in picture)
Two trains arrived at a station at 2:55 P.M., with one arriving on Track A, and the other arriving on Track B. Trains arrive on Track A every 16 minutes, and they arrive on Track B every 18 minutes. At what time will trains next arrive at the same time on both tracks? A) 4:07 P.M. B) 5:19 P.M. C) 6:31 P.M. D) 7:43 P.M.
Write an inequality statement comparing m and n. Using complete sentences, explain how you know that your inequality is true.
Hello There!
It would me m > n.
As you can see, M is further along on the number line than n therefore meaning it has a higher value.
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The local park has 4 bike racks . Each bike rack can hold 15 bikes . There are 16 bikes in the bike racks.What expression shows the total number of empty spaces in the bike racks ?
solve each equation over [0,2pi)
4cos^4x-13cos^2x+3=0
how can the statement c(1.5)+9 be interpreted
What are the seven steps needed to reconcile a bank statement?
1. Add Deposits
2. Bank Errors
3. Outstanding Checks
4. Check Register Reconciliation
5. Interest Earned
6. Check Register Errors
7. Compare Both Statements
you visit a farm and notice that white chicken lay white eggs and colored chickens lay brown eggs, so you decide that only white chickens lay white eggs. wht type of reasoning is this
The type of reasoning demonstrated in the scenario is deductive reasoning.
Deductive reasoning starts with a general premise or statement and applies it to a specific case to reach a logical conclusion. In this case, the premise is that white chickens lay white eggs and colored chickens lay brown eggs. Therefore, when encountering a white chicken, the conclusion is drawn that it will lay white eggs.
To understand deductive reasoning, let's break it down:
Premise:
White chickens lay white eggs.
Colored chickens lay brown eggs.
Observation:
Encounter a white chicken.
Conclusion:
Therefore, the white chicken will lay white eggs.
This conclusion is based on the general premise about the egg-laying behavior of white and colored chickens. Deductive reasoning allows us to draw specific conclusions from general principles, assuming the premises are true.