Answer:
0.6
Step-by-step explanation:
Divide 2 by 3 to convert 2/3 in its decimal form.
The quotient obtained on dividing 2 by 3 will be 0.6
So, the decimal form of 2/3 is a non-terminating and recurring decimal number 0.6
1. Which of the following is a true statement?
?
a. To square a number, multiply the number
by 2.
b. The inverse of squaring a number is to
divide the number by 2.
c. To square a number, multiply the number
by itself.
d. A perfect square is a number who's
square root is an even number.
Answer:
C
Step-by-step explanation:
Definitely not a! To square a number you multiply it by itself. for example, if you were squaring 3, you would do 3x3.
Not b either! You will have to take the SQUARE ROOT of the number!
C is the right answer, as I said for a.
D is wrong! The perfect square 49 has a sqrt (square root) of 7. That is NOT even, so d cannot be true.
C is the only true statement. Also, if this is right, can I get branliest answer? Thx :)
Solve for x please
A)-8
B)-9
C)8
D9
Answer:
My answer is -9.becasiug
Which system models this situation? y = 26x and y = 8,400(x-500)2 15,900 y = 26x and y = -0.030(x-500)2 15,900 y = x/26 and y = -0.030(x-500)2 15,900 y = x/26 and y =8,400(x-500)2 15,900
The option B is a correct option which is y = 26x and y = -0.030(x-500)2 15,900 represent the quadratic and linear function.
According to the statement
we have given that Vertex
(h,k) = (500, 15900)
And One of the points on the graph
(x,y) = (0,8400)
FIRST PART: we have to find the quadratic function
We can find the quadratic function by parabola's equation formula
y = a (x - h)² + k -(1)
Input the numbers to the formula, to find the value of a
y = a (x - h)² + k
8400 = a(0 - 500)² + 15900
8400 = a (500)² + 15900
8400 = 250000a + 15900
-250000a = 15900 - 8400
-250000a = 7500
a = 7500/-250000
a = 0.03
Now,
Submit a to the formula (1)
y = a (x - h)² + k
y = 0.03 (x - 500)² + 15900
this is the quadratic equation.
SECOND PART: Find the linear function
the total cost = cost each helmet × the number of helmet
y = 26x
So,
The option B is a correct option which is y = 26x and y = -0.030(x-500)2 15,900 represent the quadratic and linear function.
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Disclaimer: This question was incomplete. Please find the full content below.
Question: A company plans to sell bicycle helmets for $26 each. The company's business manager estimates that the cost, y, of making x helmets is a quadratic function with a y-intercept of 8,400 and a vertex of (500, 15900)
x= number of helmets
y = amount in dollars
Which system models this situation?
a) y = 26x and y = 8,400(x-500)2+15,900
b) y = 26x and y = -0.030(x-500)2+15,900
c) y = x/26 and y = -0.030(x-500)2+15,900
d) y = x/26 and y =8,400(x-500)2+15,900
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Answer:
B. y = 26x and y = -0.030(x-500)2+15,900
Step-by-step explanation:
PLS I HAVE NO TIME I'LL MARK YOU BRAINLIST !!!
Question One Assume there is a toll bridge in your city. Suppose that if the toll is abolished and crossing the bridge becomes free, there will be 30,000 vehicles crossing the bridge each year; with $1 of price increase, the number of vehicles crossing the bridge will drop by 100 each year. On the other hand, the city claims that maintenance of the bridge is costly. If there is no toll charge, the city would allow no cars to use the bridge; with $1 of price increase, the number of vehicles that the city would allow to use the bridge increases by 100 . a) Use the given information to write down the demand and supply functions of the bridge usage. (4 Marks) b) Solve for the equilibrium price and quantity of the bridge usage. (4 Marks) c) Suppose due to the decrease in transportation needs, the demand for the bridge usage decreased by 10% this year. Calculate the new equilibrium price and quantity of the bridge usage. (6 Marks) d) Assume the government enforces a toll charge of $100. Use the demand function derived in Part c) and the original given supply function to check if there will be an excess demand or excess supply with the government enforcement. If there is, what is the amount? (5 Marks) e) Suppose the toll bridge needs maintenance and repairs, and the supply of the bridge decreases by a half. What is the new supply function? Combine this new supply function with the demand function derived in Part c) to calculate a new set of equilibrium price and quantity of the bridge usage. (6 Marks)
a) Demand function: Qd = 30,000 - 100P, Supply function: Qs = -P b) Equilibrium price: $303.03, Equilibrium quantity: 27,697 vehicles. c) New equilibrium price: $333.33, New equilibrium quantity: 24,000 vehicles. d) Excess demand of 417 vehicles. e) New equilibrium price: $250, New equilibrium quantity: 24,750 vehicles.
a) The demand function for the bridge usage can be written as:
Qd = 30,000 - 100P
Where Qd represents the quantity demanded (number of vehicles crossing the bridge) and P represents the toll price.
The supply function for the bridge usage can be written as:
Qs = -P
Where Qs represents the quantity supplied (number of vehicles allowed to use the bridge by the city) and P represents the toll price.
b) To find the equilibrium price and quantity, we set the quantity demanded equal to the quantity supplied:
30,000 - 100P = -P
Simplifying the equation, we get:
30,000 = 99P
P = 303.03
Substituting the value of P back into either the demand or supply function, we find:
Qd = 30,000 - 100(303.03)
Qd = 27,697
Therefore, the equilibrium price is $303.03 and the equilibrium quantity is 27,697 vehicles.
c) If the demand for the bridge usage decreases by 10%, the new demand function becomes:
Qd = 0.9(30,000 - 100P)
Setting the new demand equal to the supply function:
0.9(30,000 - 100P) = -P
Solving the equation, we find:
P = 333.33
Substituting the value of P back into the demand or supply function, we get:
Qd = 0.9(30,000 - 100(333.33))
Qd = 24,000
Therefore, the new equilibrium price is $333.33 and the new equilibrium quantity is 24,000 vehicles.
d) With a toll charge of $100, we use the demand function from part c) and the original supply function:
0.9(30,000 - 100P) = -100
Solving the equation, we find:
P = 305.56
Substituting the value of P back into the demand or supply function, we get:
Qd = 0.9(30,000 - 100(305.56))
Qd = 24,417
Since the quantity demanded is greater than the quantity supplied, there is an excess demand of 24,417 - 24,000 = 417 vehicles.
e) If the supply of the bridge usage decreases by half, the new supply function becomes:
Qs = -0.5P
Setting the new supply equal to the demand function from part c):
0.9(30,000 - 100P) = -0.5P
Solving the equation, we find:
P = 250
Substituting the value of P back into the demand or supply function, we get:
Qd = 0.9(30,000 - 100(250))
Qd = 24,750
Therefore, the new equilibrium price is $250 and the new equilibrium quantity is 24,750 vehicles.
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Triangle ABC has vertices at A(1, 2), B(4,6), and C(4,2) in the coordinate
plane. The triangle will be reflected over the x-axis and then rotated 180°
about the origin to form a A'B'C'. What are the vertices of A'B'C'?
A. A'(1, -2), B'(4, -6), C'(4,-2)
B. A'(-1, -2), B'(-4,-6), C'(-4,-2)
C. A'(-1,2), B'(-4, 6), C'(-4,2)
D. A'(1, 2), B'(4, 6), C'(4,2)
Answer:
c
Step-by-step explanation:
Show the calculating process by the restoring-division
algorithm for the following division case:
Divisor 00011
Dividend 1011
The quotient is 1111. The process continues until the result is less than the divisor.
To perform the division using the restoring-division algorithm with the given divisor and dividend, follow these steps:
Step 1: Initialize the dividend and divisor
Divisor: 00011
Dividend: 1011
Step 2: Append zeros to the dividend
Divisor: 00011
Dividend: 101100
Step 3: Determine the initial guess for the quotient
Since the first two bits of the dividend (10) are greater than the divisor (00), we can guess that the quotient bit is 1.
Step 4: Subtract the divisor from the dividend
101100 - 00011 = 101001
Step 5: Determine the next quotient bit
Since the first two bits of the result (1010) are still greater than the divisor (00011), we guess that the next quotient bit is 1.
Step 6: Subtract the divisor from the result
101001 - 00011 = 100110
Step 7: Repeat steps 5 and 6 until the result is less than the divisor
Since the first two bits of the new result (1001) are still greater than the divisor (00011), we guess that the next quotient bit is 1.
100110 - 00011 = 100011
Since the first two bits of the new result (1000) are still greater than the divisor (00011), we guess that the next quotient bit is 1.
100011 - 00011 = 100001
Since the first two bits of the new result (1000) are still greater than the divisor (00011), we guess that the next quotient bit is 1.
100001 - 00011 = 011111
Since the first two bits of the new result (0111) are less than the divisor (00011), we guess that the next quotient bit is 0.
011111 - 00000 = 011111
Step 8: Remove the extra zeros from the result
Result: 1111
Therefore, the quotient is 1111.
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Jill walks 3/5 mile in 1/2 hour. How fast is this in miles per hour?
Answer:1.2mph
Step-by-step explanation:
3/5*2=1.2 and 1/2*2=1 so it’s 1.2 mph
Pharoah Limited purchased a computer for $8,600 on January 1, 2020. Straight-line depreciation is used for the computer, based on a five-year life and a $900 residual value. In 2022, the estimates are revised. Pharoah now expects the computer will be used until December 31, 2023, when it can be sold for $700. Calculate the 2022 depreciation expense.
The depreciation expense for 2022, based on the purchase price for the computer of $8,600, the revised estimate in 2022, using the straight-line method is $2,410 per year
What is the straight line depreciation method?The straight-line depreciation method is method for calculating the depreciation of an asset in which the value of the asset is uniformly reduced within each period until the salvage value of asset is reached.
The depreciation on the computer = $8,600 - $900 = $7,700
The annual depreciation rate for the computer in the first two years, using the straight line depreciation method is; $7,700/5 = $1,540 per year
The depreciation of the computer by the end of 2021 = 2 × $1,540 = $3,080
Therefore, the net book value of the computer at the end of 2021 = $8,600 - $3,080 = $5520
The estimates are revised with Pharoah expecting to use the computer until December 2022, to sell for $700, therefore;
The revised depreciable amount for the computer = $5,520 - 700 = $4,820
The revised depreciation rate for the years, 2022 and 2023 is therefore;
Depreciation = $4,820/2 = $2,410 per year
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The volume of a cone is 8π ft^3. What is the radius of the cone?
If you can help with this ASAP that would be great!
first off, let's notice something, hmm the volume is in ft³, however the height is 6 meters, so hmmm and we need the radius is meters as well, so we'd need to convert the ft³ to m³, keeping in mind 1m³ has 35 ft³.
\(\begin{array}{ccll} m^3&ft^3\\ \cline{1-2} 1 & 35\\ x& 8\pi \end{array} \implies \cfrac{1}{x}~~=~~\cfrac{35}{8\pi }\implies \cfrac{8\pi }{35}=x\)
now, let's check its volume then
\(\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=\frac{8\pi}{35} ~m^3\\ h=6~m \end{cases}\implies \cfrac{8\pi }{35}=\cfrac{\pi r^2(6)}{3}\implies \cfrac{8\pi }{35}=2\pi r^2 \\\\\\ \cfrac{8\pi }{35\cdot 2\pi }=r^2\implies \cfrac{4}{35}=r^2\implies \sqrt{\cfrac{4}{35}}=r\implies \stackrel{ meter }{0.72}\approx r\)
Which equation represents the graphed function?
A. -3x+2=y
B. -2/3x+2=y
C. 3/2x-3=y
D. 2x-3=y
Plz help me I am taking the unit test on edge
Answer:
try c, i took the test as well its either that or b
Step-by-step explanation:
Answer:
I'm pretty sure the answer is D
PLEASE HELP ASAP!!! ALOT OF POINTS QUESTION IN PHOTO
Answer:
mini- pizza 3 6 9 12 15 18 21 24
prices 5 10 15 20 25 30 35 40
Step-by-step explanation:
use the table to graph it
PART C
that answer is 40
Question:
30.
A store cells packs of 3 mini pizzas for $5.
PART A
Complete the ratio table to show the price up to 15 mini-pizzas.
Answer:
Mini-Pizzas to the Price
3:5
6:10 (x2)
9:15
12:18
15:21
Step-by-step explanation:
To #30 Part A
3 mini pizzas = $5
so find out how many do 1 mini pizzas equal?
5/3 = 1 2/3
You can figure the rest out your self with this Information.
PART B
Plot:
SHOW IN THE PICTURE BELOW
24 mini-pizzas cost 24 dollar
Step-by-step explanation:
You know that 3 mini pizzas equal 5, use that info!
The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 9.5 to 24 on the number line. A line in the box is at 15.5. The lines outside the box end at 2 and 30. The graph is titled Burger Quick.
Which drive-thru typically has more wait time, and why?
Burger Quick, because it has a larger median
Burger Quick, because it has a larger mean
Super Fast Food, because it has a larger median
Super Fast Food, because it has a larger mean
Question 2
The box plot represents the number of tickets sold for a school dance.
A horizontal line labeled Number of Tickets sold that starts at 8, with tick marks every one unit up to 30. The graph is titled Tickets Sold for A Dance. The box extends from 17 to 21 on the number line. A line in the box is at 19. The lines outside the box end at 10 and 27.
Which of the following is the appropriate measure of center for the data, and what is its value?
The mean is the best measure of center, and it equals 19.
The median is the best measure of center, and it equals 4.
The median is the best measure of center, and it equals 19.
The mean is the best measure of center, and it equals 4.
Question 3
A charity needs to report its typical donations received. The following is a list of the donations from one week. A histogram is provided to display the data.
5, 5, 6, 8, 10, 15, 18, 20, 20, 20, 20, 20, 20
A graph titled Donations to Charity in Dollars. The x-axis is labeled 1 to 5, 6 to 10, 11 to 15, and 16 to 20. The y-axis is labeled Frequency. There is a shaded bar up to 2 above 1 to 5, up to 3 above 6 to 10, up to 1 above 11 to 15, and up to 7 above 16 to 20.
Which measure of variability should the charity use to accurately represent the data? Explain your answer.
The range of 13 is the most accurate to use, since the data is skewed.
The IQR of 13 is the most accurate to use, since the data is skewed.
The range of 20 is the most accurate to use to show that they have plenty of money.
The IQR of 20 is the most accurate to use to show that they need more money.
Question 4
The circle graph describes the distribution of preferred transportation methods from a sample of 400 randomly selected San Francisco residents.
circle graph titled San Francisco Residents' Transportation with five sections labeled walk 40 percent, bicycle 8 percent, streetcar 15 percent, bus 10 percent, and cable car 27 percent
Which of the following conclusions can we draw from the circle graph?
Together, Streetcar and Cable Car are the preferred transportation for 168 residents.
Together, Walk and Streetcar are the preferred transportation for 55 residents.
Bus is the preferred transportation for 45 residents.
Bicycle is the preferred transportation for 50 residents.
Question 5
The line plot displays the number of roses purchased per day at a grocery store.
A horizontal line starting at 1 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 1 and 2. There are two dots above 8. There are three dots above 6, 7, and 9.
Which of the following is the best measure of variability for the data, and what is its value?
The range is the best measure of variability, and it equals 8.
The range is the best measure of variability, and it equals 2.5.
The IQR is the best measure of variability, and it equals 8.
The IQR is the best measure of variability, and it equals 2.5.
Question 7
At a recent baseball game of 5,000 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Mustard Chili
63 27 60
Based on the data in this sample, how many of the people in attendance would prefer mustard on a hot dog?
900
2,000
2,100
4,000
Question 8
The number of milligrams of Vitamin C from 100 different gummy vitamins sold in the world was collected.
Which graphical representation would be most appropriate for the data, and why?
Box plot, because the median can easily be determined from the large set of data
Stem-and-leaf plot, because you can see the shape of the data
Histogram, because it shows each individual data point
Bar chart, because the data is categorical
Burger Quick, because it has a larger median.
How to explain the informationBurger Quick typically has more wait time because it has a larger range (30-2=28) compared to Super Fast Food (27-3=24) and also has a larger interquartile range (IQR) (24-9.5=14.5) compared to Super Fast Food (15.5-8.5=7), indicating more variability in the wait times. The fact that Burger Quick's median (15.5) is larger than Super Fast Food's median (12) reinforces this conclusion.
Therefore, the correct answer is: Burger Quick, because it has a larger median.
Answer 2: The appropriate measure of center for this data is the median, which is represented by the line in the box at 19. This is because the data is skewed, with a longer tail to the right, and the median is less sensitive to extreme values compared to the mean. Therefore, the correct answer is: The median is the best measure of center, and it equals 19.
Answer 3: The measure of variability that the charity should use to accurately represent the data is the IQR (Interquartile Range), which is the range of the middle 50% of the data. The reason for this is that the data is skewed to the right, with many values concentrated in the upper range of the data, and the IQR is less sensitive to outliers compared to the range.
The IQR for this data is 20-10=10, which represents the spread of the middle 50% of the data. Therefore, the correct answer is: The IQR of 20 is the most accurate to use, since the data is skewed.
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Test the series below for convergence using the Ratio Test. ∑[infinity] to n=1 10^n÷n! The limit of the ratio test simplifies to limn→[infinity]∣f(n)∣ where f(n)=∣a^n+1∣÷∣an∣ f(n)= The limit is: (enter oo for infinity if needed) Based on this, the series Question Help:
The limit of the ratio test for the series ∑[infinity] to n=1 10^n÷n! is infinity (∞).
The ratio test is used to determine the convergence or divergence of a series. It involves taking the limit of the absolute value of ratio of consecutive terms. If the limit is less than 1, the series converges. If the limit is greater than 1 or infinity (∞), the series diverges. If the limit is exactly 1, the test will be inconclusive.
In this case, we have f(n) = ∣(10^n+1)÷(10^n)∣ = ∣10∣ = 10. The limit of f(n) as n approaches infinity is 10.
Since the limit of f(n) is greater than 1, the series fails the ratio test. This means that the series ∑[infinity] to n=1 10^n÷n! diverges. The ratio test suggests that the series does not have a finite sum and continues indefinitely.
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URGENT
A triangle has a perimeter of 165 cm. The first side is 65 cm less than twice the second side. The third side is 10 cm less than the second side. Find the length of each side of the triangle.
What equation represents the length of the third side if the second side is length s?
s - 10
s + 10
2s - 10
2s + 10
Answer:
Step-by-step explanation:
Perimeter 165 cm
1st. 65 cm < 2s
3rd. 10 cm < s
The 2nd side is twice than the first side but 10cm longer than the
3rd side, so it'll be
2nd. 2s + 10
a triangle has a perimeter of 165 cm. the first side is 65cm less than twice the second side. the third side is 10cm less than the second side. write and solve an equation to find the length of each side of the triangle
FIRST, we need variables. Once we define variables, it's much easier to turn this word problem into a math problem.
Let a = first side
Let b = second side
Let c = third side
NOW, we can turn the words into equations:
"a triangle has a perimeter of 165 cm."
a + b + c = 165
"the first side is 65cm less than twice the second side."
a = 2b - 65
"the third side is 10cm less than the second side."
c = b - 10
Before we finish, I have to ask: Who writes problems like this??? Pointless problems like these are why kids don't like math! Ugh. Drives me crazy. It's a shame, because solving math problems really does have a certain satisfaction, once you learn how. [Okay. I'm done. Back to the problem.]
If we could get this to have only one variable, we could solve it. Substitution to the rescue!
a + b + c = 165 (rewrote equation from above)
(2b - 65) + b + (b - 10) = 165 (substituted "a" and "c" from equations above)
See how that works? Let's solve it.
2b - 65 + b + b - 10 = 165 (dropped the parentheses, because there was nothing to distribute, not even a minus sign)
4b - 75 = 165 (combined like terms)
4b = 240 (added 75 to both sides)
b = 60 (divided both sides by 4)
We found the second side! We can find the first and third sides using those equations from above:
a = 2b - 65
a = 2*60 - 65
a = 120 - 65
a = 55
c = b - 10
c = 60 - 10
c = 50
All done.
A model car has a list price of $46.20. The model is on
sale at 15% off. Find the total cost to the nearest cent
after a 4.5% sales tax is added to the sale price.
Answer:The total cost is $41.04
Step-by-step explanation:
I got the first part but i dont onow how to get the other ones
The value of x for this problem is given as follows:
x = 5.
Hence the angle measures are given as follows:
m < CAB = 32º.m < FDE = 32º.How to obtain the value of x?
We have that angles A and D are congruent for this problem, meaning that they have the same measure.
Hence the value of x is obtained as follows:
7x - 3 = 5x + 7
2x = 10
x = 5.
Hence the angle measures are given as follows:
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An amusement park has two themed resorts, Stargazer Suites and Retro Retreat. The graph and table below display the cost of the stay, y, for different numbers of nights, x, for the two different resorts.
Which statement correctly compares the nightly rates at Stargazer Suites and Retro Retreat?
Answer:
The nightly rate at Stargazer Suites is $25 more than the nightly rate at Retro Retreat.
Step-by-step explanation:
HELP ASAP THIS DUE TODAY FOR MY BRO
Answer:
I think it's 10 or 10.5 not sure
Step-by-step explanation:
The error that occurs when the number $272.00 is written as $27.20 is called a(n) ____________________ error.
The error that occurs when the number $272.00 is written as $27.20 is called a decimal or place value error.
Decimal or place value errors involve mistakes in correctly representing the value of a number by misplacing or omitting decimal points. In this specific example, the error occurred by misplacing the decimal point, resulting in the incorrect value of $27.20 instead of the intended $272.00.
Decimal or place value errors can have significant consequences, particularly in financial or mathematical contexts, as they can lead to incorrect calculations and financial discrepancies. It is important to carefully review and verify numerical data to avoid such errors and ensure accuracy in calculations and representations.
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On a graph, an equilibrium point is where 1.a supply curve and a demand curve meet. 2.a supply curve is higher than a demand curve. 3.the supply and demand curves head up. 4.the supply and demand curves head down.
The correct answer is 1. An equilibrium point, also known as a market-clearing price, is where the supply curve and demand curve intersect and the quantity supplied equals the quantity demanded.
This is the point where there is no excess supply or excess demand in the market, and the price is stable.
In economic theory, the concept of an equilibrium point is crucial in understanding the behavior of markets. When there is a surplus of supply or demand, the market will adjust to restore equilibrium. If the price is too high, the quantity supplied will increase and the quantity demanded will decrease until the equilibrium point is reached. If the price is too low, the quantity demanded will increase and the quantity supplied will decrease until the equilibrium point is reached. Therefore, understanding the equilibrium point is essential for making informed decisions about pricing, production, and investment in a market.
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The midpoint of AB is M(2,-2). If the coordinates of A are (8,1), what are the
coordinates of B?
Answer:
B (-4, -5)
Step-by-step explanation:
A midpoint has to be exactly in the middle making the line split equally. I used Desmos to get my answer (it's a graphing calculator). And the line was slanted. Hope it's right! Plz tell is not!
Six sophomores and 14 freshmen are competing for two alternate positions on the debate team. which expression represents the probability that both students chosen are sophomores? startfraction (20 c 6) (19 c 5) over 20 c 2 endfraction startfraction (20 p 6) (19 p 5) over 20 p 2 endfraction
The probability expression is \(\frac{^{6}C_2}{^{20}C_2}\)
How to determine the probability expression?The given parameters are
Sophomore = 6Freshmen = 14The total number of people is
n = 20
2 of the 20 people are to be selected.
So, the number of selection is
\(n = ^nC_r\)
This gives
\(n = ^{20}C_2\)
The expression that represents both students being sophomore is
\(n = ^{6}C_2\) --- i.e. 2 students selected from 6
The probability is then represented as:
\(\frac{^{6}C_2}{^{20}C_2}\)
Hence, the probability expression is \(\frac{^{6}C_2}{^{20}C_2}\)
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Answer:
a
Step-by-step explanation:
edge 2023
In the opening hour of a new store, a bell rang every 2 min and lights flashed every 3 min. If the store opened at 10 o’clock, at what times did both events happen at the same time? Explain or sketch a diagram to show the strategy you used.
Answer:
6 minutes past 10
Step-by-step explanation:
lowest common multiple of 2 and 3: 6 minutes
Complete the system that models the heights of the ball and the receiver’s hands over time. h = -16t² 14t h = -16t² t
Answer: The height of the ball at time t is given as h = -16t² + 14t + 6 while the height of the receiver hand at time t is given as h = -16t² + 10t + 8
What is an equation?
An equation is an expression that shows the relationship between two or more variables and numbers.
A quarterback throws a football toward a receiver from a height of 6 ft. The initial vertical velocity of the ball is 14 ft/s. At the same time that the ball is thrown, the receiver raises his hands to a height of 8 ft and jumps up with an initial vertical velocity of 10 ft/s.
The height of the ball at time t is given as h = -16t² + 14t + 6 while the height of the receiver hand at time t is given as h = -16t² + 10t + 8
Answer:
6
10
8
Step-by-step explanation:
3. IQ scores of adults in the United States follow a normal distribution with a mean of 98 and a standard deviation of 16. (b) Mensa is a high IQ society in which people who have IQs in the top 2% of the population can become a member. What is the lowest IQ one could have in the U.S. and still be able to join Mensa
If the IQ scores of adults in the United States follow a normal distribution with a mean of 98 and a standard deviation of 16 and Mensa is a high IQ society in which people who have IQs in the top 2% of the population can become a member, then the lowest IQ one could have in the U.S. and still be able to join Mensa is 130.8
To find the lowest IQ, follow these steps:
We need to find the z-score that corresponds to the top 2% of the distribution. Since IQ scores follow a normal distribution, we can use the z-score formula:Therefore, the lowest IQ one could have in the U.S. and still be able to join Mensa is 130.8.
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3. Use Backward Euler method to solve for x and y from t=0 to t=0.5 s with step Δt=0.1 s : {x′=2yy′=−x−y With x(0)=1 and y(0)=0. Use trapezoidal method to solve problem 3 and compare the results with Backward Euler method.
The Backward Euler method and the Trapezoidal method are numerical methods used to approximate solutions to ordinary differential equations (ODEs).
Using the Backward Euler method , we can iteratively approximate the values of x and y at different time steps from t=0 to t=0.5 s with a step size of Δt=0.1 s. Starting with initial conditions x(0)=1 and y(0)=0, we can compute the values of x and y at each time step using the following equations:
x(n+1) = x(n) + Δt * 2 * y(n)
y(n+1) = y(n) + Δt * (-x(n) - y(n))
By applying these equations iteratively, we can calculate the values of x and y at different time steps.
To compare the results with the Trapezoidal method, we would need to apply the Trapezoidal method using the same step size Δt and initial conditions. The Trapezoidal method is a second-order accurate method that uses a weighted average of the slopes at the current and next time steps.
By comparing the values of x and y obtained using the Backward Euler method and the Trapezoidal method at each time step, we can evaluate the accuracy and reliability of both methods in approximating the solutions to the given ODE.
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Which statements describe prominences? Check all that apply.
Prominences are dark, cool areas on the surface of the Sun.
Prominences are composed of cool, dense gas.
Prominences can disturb radio communications on Earth.
Prominences cycle over an 11-year period.
Prominences are loop shaped.
Prominences appear in groups.
ANSWER: B C E
The phrase "Composed of cool, dense gas, which can interfere with radio communications on Earth, and it should be loop-shaped" should have been used to characterize prominences.
What are prominences?Prominences should be viewed as being anchored to the sun's surface in the photosphere and should extend into the corona, which is the sun's heated outer atmosphere. It should primarily be made of chilly, dense gas. It should also interfere with radio communications because it has a loop form.
A prominence is a prominent gaseous feature that extends from the surface of the Sun and is brilliant, massive, and typically shaped like a loop. In the photosphere, prominences extend forth into the Sun's corona where they are joined to the surface of the Sun.
The solar flare, which is the release of very energetic particles, is connected to the prominences. These solar flares have been thought to affect electronic communication because their energy mingles with the Earth's upper atmosphere, weakening radio signals and increasing background noise.
Therefore, the true statements are that prominences are loop-shaped can interfere with radio communications on Earth, and are composed of cool, dense gas.
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Express the number 3.785 x 10^-6 in decimal form. Answer:
A cone has a radius of 4.96cm and a volume of 102cm. Work out an estimate for the height of the cone. You must show your working.
So stuck, I keep getting 3.9 but apparently its wrong.
The formula for the volume of a cone is:
V = (1/3)πr^2 x h
Where V is the volume, π is approximately 3.14, r is the radius, and h is the height of the cone.
We know that the volume of the cone is 102 cm^3 and the radius of the cone is 4.96 cm. So we can substitute these values into the formula:
102 = (1/3)π(4.96)^2 x h
To estimate height of the cone we need to divide both sides of the equation by (1/3)π(4.96)^2.
h = 3.959207...
So, the height of the cone is approximately 3.96 cm.