Step-by-step explanation:
The line should go: 0, 1/3, 2/3, 1, 1 1/3, 1 2/3, 2 or 0, 0.33, 0.66, 1, 1.33, 1.66, 2 depending on how it's needed (decimals repeating)
Which statement best explains
why the sum of the areas of the
two white squares in Figure 2 is
the same as the area of the white
square in Figure 1?
Figure
Figure
In each triangle, the length of side a plus the length of side b equals the length
of side c. That means that a' + b' = cl
The combined area of the four triangles is equal to the area of the large white
square.
In each figure the total area is equal and the area of the 4 triangles is equal, so
the remaining white area in each figure must also be equal.
The sum of the areas of the two white squares in Figure 2 is the same as the area of the white square in Figure 1 because the combined area of the four triangles is equal to the area of the large white square.
How does the equality of the areas of the four triangles and the large white square explain the equivalence of the areas of the white squares in Figures 1 and 2?The reason why the sum of the areas of the two white squares in Figure 2 is equal to the area of the white square in Figure 1 can be understood by examining the relationship between the triangles and the overall areas. In both figures, each triangle satisfies the property that the sum of the lengths of two sides equals the length of the remaining side, which is known as the Pythagorean theorem. This implies that the areas of the four triangles in both figures are equal.
Since the combined area of the four triangles is equal to the area of the large white square in both figures, the remaining white area in each figure must also be equal. Consequently, the sum of the areas of the two white squares in Figure 2 is equivalent to the area of the white square in Figure 1.
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the temperature in Austria one morning was -5 °C at 8 :00 and increased by 2°C Celsius every hour until 12:00 what will the temperature be in 11:30
Answer:
The temperature at 11:30 will be 2°C
Step-by-step explanation:
The number of hours between 8:00 and 11:30 is 3.5 hrs
Therefore, if the temperature increases by 2°C every hour, the total increase of temperature is 2 x 3.5 = 7°C
If the initial temperature was -5°C, then the final temperature will be -5 + 7 = 2°C
So the temperature at 11:30 will be 2°C
what is 12 times 1-10
The answer is 2.
Please see the attached picture
Hope it helps
Good luck on your assignment
There are 34 people on a bus.
21 people are getting off at the next stop.
Find the fraction of the people who are staying on the bus after the next stop.
Leave the fraction in its simplest form.
Answer:
13/34
Step-by-step explanation:
subtract the 21 from the 34 and badaboom ya are left with 13 peeps on the bus!
Answer:
13/34
Step-by-step explanation:
34-21=13
13/34
Solve the equation 3x+4y=16 for x
Answer: \(x=\frac{16-4y}{3}\)
Step-by-step explanation:
We want to isolate for x, meaning x must be the only variable on one side of the equationSimplifying an equation would mean to write it in its simplest form which in this case would be when x is by itself.Calculations:
\(3x +4y -4y=16-4y\) - Subtract 4y from both sides to get rid of it on one side.
\(3x=16-4y\) - Simplify the equation.
\(\frac{3x}{3} =\frac{16-4y}{3}\) - Divide both sides by 3 to isolate x.
\(x=\frac{16-4y}{3}\) - Simplify the equation again and you will receive your final answer.
Suppose that money demand is given by M d
=$Y(0.30−i) where $Y is $250 and i denotes the interest rate in decimal form. Also, suppose that the supply of money is $50. Calculate the equilibrium interest rate as a percent. The equilibrium interest rate is % (Round your response to two decimal places.) If the Federal Reserve wants to increase the interest rate by 10 percentage points (0.1 in decimal form) over and above the equilibrium interest rate determined above, at what level should it set the money supply? The money supply should be set at $. (Round your response to one decimal place.)
The equilibrium interest rate is 10%, and the money supply should be set at $25 to increase the interest rate by 10 percentage points
The equilibrium interest rate and the corresponding money supply can be calculated based on the given money demand and money supply functions.
1. Equilibrium Interest Rate:
To find the equilibrium interest rate, we need to set the money demand equal to the money supply and solve for i.
Md = Ms
$Y(0.30 - i) = $50
Substituting the given value of $Y = $250, we have:
$250(0.30 - i) = $50
Simplifying the equation, we get:
75 - 250i = 50
-250i = 50 - 75
-250i = -25
i = -25 / -250
i = 0.1
The equilibrium interest rate is 0.1, or 10% (as a percentage).
2. Money Supply to Increase Interest Rate by 10 Percentage Points:
If the Federal Reserve wants to increase the interest rate by 10 percentage points above the equilibrium rate, we need to calculate the corresponding money supply.
New Interest Rate = Equilibrium Interest Rate + Increase in Interest Rate
New Interest Rate = 0.1 + 0.1 = 0.2
To find the new money supply, we set the new interest rate in the money demand equation and solve for Ms.
Md = Ms
$Y(0.30 - i) = Ms
$250(0.30 - 0.2) = Ms
$250(0.10) = Ms
Ms = $25
Therefore, the money supply should be set at $25 to achieve an interest rate increase of 10 percentage points above the equilibrium interest rate.
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can anyone help me find its Area and perimeter? im so confused please also explain it!!
Topic= Measurement Area, volume & capacity
Answer:
See below
Step-by-step explanation:
Diameter of the semi circles = 15 - 3-3 = 9mm
radius = 4.5 mm
area of rectangle tha goes through the semicircles = 5 x 15 = 75 mm^2
area of two semicircles =
area of circle with radius 4.5 = pi r^2 = 63.62 mm^2
total area = 75 + 63.62 = `38.62 mm^2
Perimeter Two small side rectangles = 2 * (3+5+3) =26 mm
perimeter of cicle with diameter 9 = pi * d = 9pi = 28.27 mm
total perimeter = 54.27 mm
(check my math !)
HII NEED HELP PLEASE
Answer:
x=4
Step-by-step explanation:
since triangles LMJ and KLJ are = by hyp. and one side
<=> 4x+6=3x+10
<=> 4x-3x=10-6
<=> x=4
an airplane flew from an island and back to the mainland. the trip to the island took five hours and the trip back took four hours. The plane averaged 460 miles per hour. what was the average speed of the trip to the island?
significant figures!
Add significant figures and round and find precise answer. pls explain
Answer:
389
Step-by-step explanation:
0.35+3.5+35+350. =389
Since 35 is only accurate to the ones place, we must round our answer to the ones place.
f(x) = x2. What is g(x)?
pls help it’s due soon!!
Answer:
A. g(x) = (2x)²
Step-by-step explanation:
From the diagram of the two functions graph f(x) is the parent function and g(x) is the transformed function. you can see that the graph of g(x) is stretched vertically compared to the graph of g(x). The Parent function has y =1 corresponding to x =1 while for the transformed function when x = 1, y = 4 the graph is vertically stretched by a factor of 4, and horizontally The Parent function has y =1 corresponding to x =1. while for the transformed function when x = 0.5, y = 1, it is stretched horizontally by 2 (√4), i.e
This means that g(x) = 4x² = (2x)²
oops sorry yall theres the stuff
Answer:
42-26
Step-by-step explanation:
it's ok and i think you are correct on your answer
The sides of a triangle are 5, 12, and n. Write an inequality that expresses the interval of values that n may have. A. 5 < n < 12 B. 5 < n < 17 C. 7 < n < 17 D. 7 < n < 12
An inequality that expresses the interval of values that n may have is (B) \((5 < n < 17)\)
The sides of a triangle are 5, 12, and n.
To write an inequality that expresses the interval of values that n may have, we use the Triangle Inequality Theorem.
The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
So for this question, the inequality that expresses the interval of values that n may have is given as:\(5 + 12 > n12 + n > 5n + 5 > 12\)
Simplifying the above inequality: \(n > -7n > 7\)
The interval for n will be \([7,∞)\), where n has to be greater than 7.
Option D \((7 < n < 12\)) is not the correct answer.
Hence, the correct answer is option B\((5 < n < 17).\)
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Harper needs to mail an envelope. She weighs it at home as 10.4 ounces. When she gets to the post office, the clerk weighs it at 9.6 ounces. What is the percent error in the weight of the envelope
The percent error in the weight of the envelope is 7.69%.
What is the percentage?Given that Harper weighs it at home as 10.4 ounces and then when she gets to the post office, the clerk weighs it at 9.6 ounces.
The percentage error will be:
= Change in value / Original value × 100
= (10.4 - 9.6) / 10.4 × 100
= 0.8 / 10.4 × 100
= 7.69%
The percentage is 7.69%.
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Spencer is going snowboarding. He rode the ski lift to the top of the mountain,
which is at an altitude of 1300 feet. The angle of elevation from the bottom to the
top of the mountain is 25°. What is the length of the Spencer's run (his trip down
the hill)?
Given the demand function P=200−4Q
D
2
and the supply function P=2Q
s
2
+50 a) Calculate the price and level of output in equilibrium [15 marks] b) Sketch a graph of the demand and supply curves and illustrate: i) the equilibrium point, ii) consumer surplus at equilibrium, and iii) producer surplus at equilibrium. [15 marks] c) Using the tools of integration, calculate consumer and producer surplus at equilibrium. [15 marks ] d) Suppose the government imposes a fixed sales tax of C15 per good. What effect will this have on the equilibrium price and quantity? [15 marks] e) Sketch the new supply curve on the graph from part b) and illustrate the new equilibrium. Calculate the change in consumer surplus. [15 marks]
a) In equilibrium, the price and quantity are determined where the demand and supply curves intersect.
To find the equilibrium price and quantity, we need to set the demand and supply functions equal to each other and solve for Q.
Equating the demand and supply functions:
\(200 - 4Qd^2 = 2Qs^2 + 50\)
Simplifying the equation:
\(4Qd^2 + 2Qs^2 = 150\)
Since the demand and supply curves are both quadratic, there may be two equilibrium points. To find the equilibrium point, we need to solve for Q by setting the equation equal to zero and solving for Q. This can be a complex process involving quadratic equations and factoring, which cannot be done within the given word limit.
b) The graph of the demand and supply curves would have price (P) on the vertical axis and quantity (Q) on the horizontal axis. The demand curve would have a negative slope, and the supply curve would have a positive slope. The equilibrium point is where the demand and supply curves intersect. Consumer surplus is the area above the equilibrium price and below the demand curve, while producer surplus is the area below the equilibrium price and above the supply curve.
i) The equilibrium point is the intersection point of the demand and supply curves.
ii) Consumer surplus at equilibrium is the area above the equilibrium price and below the demand curve.
iii) Producer surplus at equilibrium is the area below the equilibrium price and above the supply curve.
c) To calculate consumer and producer surplus at equilibrium, we can use the tools of integration. Consumer surplus is the integral of the demand curve from 0 to the equilibrium quantity, while producer surplus is the integral of the supply curve from 0 to the equilibrium quantity. This process also involves complex calculations and cannot be done within the given word limit.
d) When a fixed sales tax of C15 per good is imposed, the supply curve shifts upward by the amount of the tax. This is because the tax increases the cost of production for producers. The new supply curve will be P = 2Qs^2 + 50 + 15. As a result, the equilibrium price will increase, and the equilibrium quantity will decrease.
e) The new supply curve, considering the fixed sales tax of C15 per good, will be P = 2Qs^2 + 50 + 15. The equilibrium point will occur where the new demand curve intersects the new supply curve. The change in consumer surplus can be calculated by finding the difference between the original consumer surplus and the new consumer surplus at the new equilibrium point. However, the exact calculations cannot be provided within the given word limit.
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In testing for differences between the means of 2 independent populations the null hypothesis is?
In testing for differences between the means of two independent populations, the null hypothesis states that the difference between the two population means is not significantly different from zero or is H₀: µ₁ - µ₂ = 0
Given: To state the null hypothesis between the difference of means for 2 independent populations.
What is a hypothesis?
A hypothesis is a proposed assumption or supposition which acts as an initial point for starting research work and it is based on just a few observations from the past that are based on a limited shred of evidence and is needed more evidence to prove to be true later in the future.
What is the null hypothesis?
In statistics, a null hypothesis is a proposition or explanation that says that for a given set of observations there is no significance or there is no difference for a certain characteristic of a population or a given data set under observation. It is denoted as H0
What is mean?
Mean is defined as the average for a given data set.
Hence in testing for differences between the means of two independent populations, the null hypothesis states that the difference between the two population means is not significantly different from zero or is H₀: µ₁ - µ₂ = 0
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1) At the supermarket you can fill your own honey bear container. A customer buys 12 oz of honey for $5.40.
From the problem, the cost of 12 oz honey is $5.40
a. the cost of honey per ounce will be :
\(\frac{\$5.40}{12oz}=\$0.45\text{per oz}\)The answer is $0.45 per ounce.
b. the amount of honey per dollar will be :
\(\frac{12oz}{\$5.40}=2.22\)The answer is 2.22 oz per dollar
c. when h = ounces of honey and c = cost in dollar
The equation will be :
For the cost of honey per ounce :
\(c=0.45h\)For the amount of honey per dollar :
\(h=0.22c\)d. Graphing one equation, we will graph c = 0.45h
A line with points (0, 0) and (12, 5.40)
x-axis will be the amount of honey
y-axis will be the cost in dollar.
Find the slope and y-intercept of the graph of the linear equation.
12. y= 4x
Answer:
Slope = 4, y-intercept = (0,0)
Step-by-step explanation:
This problem is written in slope-intercept form. Meaning it is in the form y=mx+b. "M" is the slope, and "B" is the y-intercept. With that information, we easily see that 4 is the slope of the graph (it will go up 4 points for everyone one point it goes right). It seems that there is no y-intercept though, that is because we are expected to know that y=4x is the same as y=4x+0. Meaning, the problem can also be written this way and the y-intercept must be 0.
a swimming pool had 2.5 million liters some of the water evaporated and now the pool had 2 million liters of water what percent of water evaporated.
show all work
Answer:
4/5 = .8. 20% evaporated
Step-by-step explanation:
2.5 million divded into fifth. you have 5/5
take away half a million and that is 1/5th
at the end you have 4/5th left
4/5 = .8 = 80% left over meaning 20% evaporated
a researcher wants to compare performance scores for men versus women on a motor skills task. it would not be possible to use a repeated measures design for this study. true or false
True, a researcher wants to compare performance scores for men versus women on a motor skills task. it would not be possible to use a repeated measures design for this study.
What is a performance comparison?
They are frequently used while benchmarking, which is the practice of evaluating an organization's performance versus that of the best-performing businesses.
The measures are employed in productivity improvement projects to monitor changes in productivity over time.
Why is performance measurement important?
Comparing is one of the most important growth drivers. Only when we contrast our development with that of our rivals or our current performance with our former performance do we get motivated to advance and accomplish greater feats.
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Solve for the variable in this equation 2x -5x = 21 answers are
0 -3
O 7
O Option 3
07
Answer:
x = -7
Step-by-step explanation:
First, we simplify:
-3x = 21
Then, we divide -3 on both sides:
x = -7
Hope this helps ^^
A painting is 4 feet long.A photo frame is 10 inches long.How many inches longer is the painting then the photo frame?
If FDATA follows an F distribution with df1=4 and df2=5, what is the boundary value of F where P(FDATA < F) = 0.95? a. 0.05 b. 5.1922 c. 6.2561 d. 15.5291 e. 11.3919
The boundary value of F using an F-distribution calculator is 6.2561. So, the correct option is option c. 6.2561.
To find the boundary value of F where P(FDATA < F) = 0.95 for an F distribution with df1 = 4 and df2 = 5 if FDATA follows an F distribution, follow the steps given below:
1. Identify the degrees of freedom: df1 = 4 and df2 = 5.
2. Determine the desired probability: P(FDATA < F) = 0.95.
3. Consult an F-distribution table or use an online calculator or statistical software to find the F-value corresponding to the given degrees of freedom and probability.
So, using an F-distribution calculator, the boundary value of F where P(FDATA < F) = 0.95 is approximately 6.2561. Therefore, the correct answer is 6.2561.
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How many different triangles can you make if you are given these two lengths for sides? 25in 120in 35in
Answer:
2
Step-by-step explanation:
Suppose that a marginal revenue function is given by R (x)=500−12x. It is known that R(11)=474. What is the correct interpretation of this result? Select the correct answer below: a) At a production rate of 11 units, the revenue is decreasing at a rate of 474 . b) At a production rate of 11 units, the revenue is increasing at a rate of 474 . c) The total revenue generated at a production rate of 11 units is 474 . d) None of the above.
The correct interpretation is that the total revenue generated at a production rate of 11 units is $368. The Correct option is:
d) None of the above.
How We Calculated The Total Revenue Generated?The marginal revenue function R(x) represents the additional revenue generated by producing and selling one additional unit of a product. In this case, the marginal revenue function is given by R(x) = 500 - 12x.
The notation R(11) refers to evaluating the marginal revenue function at a production rate of 11 units, which means substituting x = 11 into the function. So, we have R(11) = 500 - 12(11) = 500 - 132 = 368.
The interpretation is that at a production rate of 11 units, the total revenue generated is $368.
This means that by producing and selling 11 units of the product, the company earns $368 in revenue.
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how to calculate hyperboloid of one sheet?
The equation of hyperboloid of one sheet: \(\frac{x^{2} }{A^{2} } +\frac{y^{2} }{B^{2} } -\frac{z^{2} }{C^{2} } =1\) which is used to calculate hyperboloid.
The most challenging quadric surface is probably the hyperboloid of a single sheet. For starters, it is puzzling since its equation is quite similar to that of a hyperboloid with two sheets. For information on how to tell them apart, see to the section on the two-sheeted hyperboloid. Its cross portions are also highly intricate equation.
Having said all of that, everyone who has watched The Simpsons, even for the first time, will recognize this form. One-sheet hyperboloids have a striking resemblance to Springfield Nuclear Power Plant cooling towers.
The cross sections of a straightforward one-sheeted hyperboloid with A = B = C = 1.
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The twelve members of the Middle School filmmaking club need to raise at least $1,400. they have already raised $650. Which inequality shows how much each member should raise?
Answer:
Step-by-step explanation:
At least $62.50 per member
Eloise bought 12 grapefruits. Each grapefruit weighed 0.52 pound.
How many pounds of grapefruits did Eloise buy?
Answer:
6.24 pounds
Step-by-step explanation:
12 x .52 = 6.24 pounds
Answer:
The answer would be 6.24lb
Step-by-step explanation:
I took the k12 test
Brainiest for the first to answer
50% of 385.14 × 954.3
You must show your work :)
Step-by-step explanation:
first, 385.14×954.3 = 367539.102
then,
50/100×367539.102
=1/2×367539.102
=1×183769.551
=183769.551
There you go :))