If f(x) =\(x^2\) g(x)=\(\frac{1}{2} x^2\), then the correct answer is (Choice A) Two parabolas pass through the origin. The parabola labeled f opens up. The parabola labeled g also opens up and is narrower than parabola f.
The parabola-shaped graph of f(x) = \(x^2\) has an upward opening, travels past the origin, and steepens as x deviates from 0.
In the same way that the graph of f(x) is a parabola that rises upwards and passes through the origin, the graph of g(x) = \(\frac{1}{2} x^2\) is likewise a parabola, but it is narrower than the graph of f(x) because the coefficient 1/2 compresses the curve horizontally.
Hence, the appropriate response is (Choice A).
The complete question is:-
If f(x) =x^2 g(x) =1/2x^2 Which option could show the graphs of f and g? Choose 1 answer:
(Choice A) Two parabolas pass through the origin. The parabola labeled f opens up. The parabola labeled g also opens up and is narrower than parabola f.
(Choice B) Two parabolas pass through the origin. The parabola labeled f opens up. The parabola labeled g also opens up and is wider than parabola f.
(Choice C) Two parabolas pass through the origin. The parabola labeled f opens up. The parabola labeled g opens down and is narrower than parabola f.
(Choice D) Two parabolas pass through the origin. The parabola labeled f opens up. The parabola labeled g opens down and is wider than parabola f.
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how many miles in feet?
Answer:
Step-by-step explanation:
3280 feet are in a mile.
Help please it´s urgent
Based on this graph, what is the solution to the system of equations?
Answers:
A. There are an infinite number of solutions.
B. There is no solution.
C. (1, 3)
D. (2, 3)
E. (3, 2)
Answer: E
Step-by-step explanation:
The solution means the intersection point, so in this case, it's (3, 2). The intersection point represents a value that is true for both equations, which is why it's considered the solution.
A spherical hot air balloon inflates at a rate of 101 ft3/min. At what rate is the radius changing when the surface area is 20.2 ft2 ? [Note: V = 4/3r3, SA = 4 r2]
If a spherical hot air balloon inflates at a rate of 101 ft³/min. The rate that the radius is changing when the surface area is 20.2 ft² is 0.
What is the rate of change?Using the volume of a spherical balloon formula
V = (4/3)πr³
Take the derivative of both sides
dV/dt = 4πr² (dr/dt)
Substituting
20.2 = 4πr²
Differentiate both sides
d/dt (20.2) = d/dt (4πr²)
0 = 8πr(dr/dt)
Solve for dr/dt:
dr/dt = 0 / (8πr)
dr/dt = 0
Therefore the rate of change of the radius (dr/dt) is 0.
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Calculator The figure shows A XYZ. XW is the angle bisector of ZYXZ What is WZ? Enter your answer in the box. Do not round your answer. units 6.5 X 6 W 8 N
The length of WZ if XW is the angle bisector of YXZ is 4 units
Calculating what is the length of WZ?The statements from the question cam be listed as:
Triangle = XYXXW is the angle bisector of YXZusing the above as a guide, we have the following:
WZ = 1/2 * YZ
From the question, we have
YZ = 8
Substitute the known values in the above equation, so, we have the following representation
WZ = 1/2 * 8
Evaluate
WZ = 4
Hence, the length is 4
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please help due in 30 minutes if you get it right ill mark you brainilest pls help
The system of linear equations represented by the graph are y=2x-1 and y= -x+2.
A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Given that,
The coordinates on the blue line are (2, 3) and (0, -1)
The coordinates on the red line are (2, 0) and (0, 2)
Equation of a line with (2, 3) and (0, -1)
Now, m=(y₂-y₁)/(x₂-x₁)
= (-1-3)/(0-2)
= 2
Substitute m=2 and (x, y)=(2, 3) in y=mx+c, we get
3=2(2)+c
c=-1
Substitute m=2 and c=-1 in y=mx+c, we get
y=2x-1
Equation of a line with (2, 0) and (0, 2)
Now, m=(y₂-y₁)/(x₂-x₁)
= (2-0)/(0-2)
= -1
Substitute m=-1 and (x, y)=(2, 0) in y=mx+c, we get
0= -1(2)+c
c=2
Substitute m=-1 and c=2 in y=mx+c, we get
y= -x+2
Therefore, the system of linear equations represented by the graph are y=2x-1 and y= -x+2.
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Please I really need this answer doing cumulative exam!!!
Scott is reading two books at the same time to prepare for a report he is writing. So far, he has read 407 of the total number of 557 pages, which is Three-fifths of the shorter book and StartFraction 5 Over 6 EndFraction of the longer book. Which system of equations can be used to determine the total number of pages in the shorter book, x, and the total number of pages in the longer book, y?
x + y = 557 and Three-fifths x + five-sixths y = 407
x + y = 407 and Three-fifths x + five-sixths y = 557
x + y = 557 and Five-sixths x + three-fifths y = 407
x + y = 118 and StartFraction 4 Over 9 EndFraction x + two-thirds y = 118
An equation is formed of two equal expressions. The correct option is x+y=557 and Three-fifths(x)+five-sixths(y)=407.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the total number of pages in the shorter book be represented by x, and the total number of pages in the longer book be represented by y.
Given the total number of pages of the shorter book and the longer book is 557. Therefore, the equation can be written as,
x+y =557
Also, Scott reads Three-fifths of the shorter book and StartFraction 5 Over 6 EndFraction of the longer book, which is equal to 407 pages. Therefore,
(3/5)x + (5/6)y = 407
Hence, the correct option is x+y=557 and Three-fifths(x)+five-sixths(y)=407.
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What is the unreasonable ineffectiveness of mathematics in the natural sciences?
The unreasonable ineffectiveness of mathematics in the natural sciences is a phrase coined by physicist Eugene Wigner in his famous 1960 essay of the same name. Wigner observed that mathematics, despite being an incredibly powerful and precise tool, often fails to fully capture or explain certain phenomena in the natural sciences.
He noted that while mathematical models can provide valuable insights and predictions, they often fall short of fully describing complex physical systems.
Wigner argued that this was an unexpected and mysterious aspect of the relationship between mathematics and the natural sciences. He suggested that perhaps the universe operates in a way that is fundamentally beyond our mathematical comprehension, or that we have yet to discover the correct mathematical language to describe it.
Despite this, Wigner acknowledged that mathematics has still been an incredibly successful and indispensable tool in the natural sciences, allowing us to make tremendous advances in fields such as physics, chemistry, and biology.
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In 11-18, find the equivalent measure. Round to the nearest tenth.
11. 9 qt
13. 2 in.
)
15. 10 L
17. 50 lb
L
cm
qt
kg
12. 2 gal
14.5 km
16. 5.5 t
18. 10 oz
mi
T
9
9 qt is approximately equal to 8.5 L
Finding the equivalent measure.9 qt to L:1 qt = 0.946 L (this is the conversion factor)
To convert 9 qt to L, multiply 9 by 0.946: 9 x 0.946 = 8.514
Rounded to the nearest tenth, 9 qt is approximately equal to 8.5 L
2 in to cm:1 in = 2.54 cm (this is the conversion factor)
To convert 2 in to cm, multiply 2 by 2.54: 2 x 2.54 = 5.08
Rounded to the nearest tenth, 2 in is approximately equal to 5.1 cm
2 gal to L:1 gal = 3.785 L (this is the conversion factor)
To convert 2 gal to L, multiply 2 by 3.785: 2 * 3.785 = 7.57
Rounded to the nearest tenth, 2 gal is approximately equal to 7.6 L
5 km to mi:1 km = 0.621371 mi (this is the conversion factor)
To convert 5 km to mi, multiply 5 by 0.621371: 5 x 0.621371 = 3.106855
Rounded to the nearest tenth, 5 km is approximately equal to 3.1 mi
10 L to qt:1 L = 1.05669 qt (this is the conversion factor)
To convert 10 L to qt, multiply 10 by 1.05669: 10 x 1.05669 = 10.5669
Rounded to the nearest tenth, 10 L is approximately equal to 10.6 qt
5.5 t to T:1 t = 1.10231 T (this is the conversion factor)
To convert 5.5 t to T, multiply 5.5 by 1.10231: 5.5 x 1.10231 = 6.062205
Rounded to the nearest tenth, 5.5 t is approximately equal to 6.1 T
50 lb to kg:1 lb = 0.453592 kg (this is the conversion factor)
To convert 50 lb to kg, multiply 50 by 0.453592: 50 x 0.453592 = 22.6796
Rounded to the nearest tenth, 50 lb is approximately equal to 22.7 kg
10 oz to g:
1 oz = 28.3495 g (this is the conversion factor)
To convert 10 oz to g, multiply 10 by 28.3495: 10 x 28.3495 = 283.495
Rounded to the nearest tenth, 10 oz is approximately equal to 283.5 g
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A projectile is fired straight up from ground level with an initial velocity of 112 ft/s. Its height, h, above the ground after t seconds is given by h = –16t2 + 112t. What is the interval of time during which the projectile's height exceeds 192 feet?
3 < t < 4
t < 4
t > 4
3 > t > 4
The interval of time during which the projectile's height exceeds 192 feet is t > 4. Option C.
To determine the interval of time during which the projectile's height exceeds 192 feet, we need to find the values of 't' that satisfy the condition h > 192.
The equation for the height of the projectile is h = -16t^2 + 112t.
Setting h greater than 192, we have:
-16t^2 + 112t > 192
Rearranging the equation to isolate the quadratic term, we get:
-16t^2 + 112t - 192 > 0
Now, we can solve this quadratic inequality by factoring or using the quadratic formula. However, we can simplify the process by dividing the entire inequality by 16, resulting in:
-t^2 + 7t - 12 > 0
Factoring the quadratic, we have:
-(t - 3)(t - 4) > 0
From this, we can determine the sign of the expression within each interval:
For t < 3, both factors are negative, so the expression is positive.
For 3 < t < 4, the first factor is negative, and the second factor is positive, so the expression is negative.
For t > 4, both factors are positive, so the expression is positive. Option C is correct.
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2p + 194.99 = 284.97
Answer:
The answer is 44.99
Step-by-step explanation:
Step 1: Subtract 194.99 from both sides.
2p+194.99−194.99=284.97−194.99
2p=89.98
Step 2: Divide both sides by 2.
2p/ 2 = 89.98 /2
p=44.99
Answer:
p=44.99
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Answer:
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Step-by-step explanation:
if they want to be 99% sure that their estimate will be within 3% of the true population percentage, how large of a sample do they need?
If they want to be 99% sure that their estimate will be within 3% of the true population percentage then the required sample size is n = 4161.
When there is no known population, the sample size can be calculated by determining the minimal sample size needed to accurately estimate proportions while taking the standard normal deviation into account.
We have been given the confidence level = c= 99%
Estimate percentage= 3%
We want to find the sample size when the true percentage is not given
Therefore Assume that true proportion = p = 0.5
Therefore the sample size is calculated as:
N= p(1-p) (zc/e) square
N = 4161
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Choose the multiplication problem that matches this model: I Dan studied for of an hour for 4 days in a row. How many hours did he study? Dan studied for 2 hours for 4 days in a row. How many hours did he study? O Dan studied for of an hour for 4 days in a row. How many hours did he study? O Dan studied for of an hour for 4 days in a row. How many hours did he study?
The number of bars of the same color could be used to show the number of hours that Dan studies hence he studied for 2/3 hours in four days.
What is multiplication?The term multiplication refers to the number of times that a number is added to itself. For instance, if I add four three times, I could shorten the expression as four multiplied by three.
If we look at the diagram, we can see that in each tile, there are always two bars of the same color out the whole three bars. The bars that are of the same color shows the number of hours that Dan studied.
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HELP PLEASE!!!!!!!!!!!!
You can't, the only factor in both is 1
1(a^4 + 4b^4)
Hope this helps!
Factor −7x2 + 35x. please help
Answer:
the answer is
-7 (x-5)x
find the sum of the measures of the angles of each polygon
Couldnt find it on google so ima try here
Answer:
7.0
Step-by-step explanation:
Which will be smoother, a 50-day or a 200-day moving average?50-day 200-day
Due to its larger time frame and less sensitivity to transient variations in the data, the 200-day moving average is often smoother than the 50-day moving average.
The 200-day moving average is typically smoother than the 50-day moving average because it covers a longer period of time and is therefore less reactive to short-term fluctuations in the data. However, the choice between using a 50-day or a 200-day moving average ultimately depends on the specific data being analyzed and the desired level of sensitivity to changes in the data.
A 200-day moving average will be smoother than a 50-day moving average. The 200-day moving average considers a longer period of time, which reduces the impact of short-term fluctuations and provides a clearer overall trend. The 50-day moving average is more sensitive to recent price changes and will appear more volatile in comparison.
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Zach is 6 inches shorter than two times his cousin’s height, c. How tall is Zach? To see what Gabriel did wrong, consider that c = 40 inches. Then, how tall is Zach?
Answer:
74 inches
Step-by-step explanation:
If his cousin is 40 inches tall, and Zach is 6 inches less than twice his height, solve for 40*2-6, which is 74.
Dominic has 2.25 pounds of Swedish Fish. He wants to split the candy evenly between himself
and his 5 friends. How many pounds would Dominic and his friends each receive?
Answer:
Dominic and his 5 friends would each receive 0.375 pounds of Swedish Fish.
Step-by-step explanation:
To split the 2.25 pounds of Swedish Fish evenly between Dominic and his 5 friends, we need to divide the total amount by 6 (Dominic + 5 friends):
2.25 ÷ 6 = 0.375
Therefore, Dominic and his 5 friends would each receive 0.375 pounds (or 6 ounces) of Swedish Fish.
A diver is currently at an elevation of -380 feet. Write an absolute value statement to express the diver's distance, in feet, from sea level. Then, interpret the result within the context of the situation.
plss help
Answer:
the answer is 380
Step-by-step explanation:
Simplify 8u + 9 + 3u-50 o 110 + 14V O 5u+ 4v 110 + 4 0 150
Answer:
70uv+11u+440v-5491
Step-by-step explanation:
combine the like terms (if this is wrong i apologize, the circles threw me off as multiplication symbols so thats what i did)
The double number line shows that Balam has played 250 games of go.
Answer:
50 -> 20%
150 -> 60%
Step-by-step explanation:
50 is 20 % of the 250 games.
150 is 60 % of the 250 games.
What is percentage?Percentage is a part of the whole number. It is denoted by % sign.
1 %= 1/100.
Given that,
Total number of games = 250,
Also given that, percent value of 250 is 100%
Therefore, value of 50 is 20%
And value of 150 is 60%
50 is 20% and 150 is 60% of 250 games.
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9. Meredith is a self-employed writer. She must pay 12.4% in taxes on all
her income. If she is paid $850 for a job, how much of her pay is left after
she deducts the taxes?
Answer:
$744.60
Step-by-step explanation:
Change 12.4% to a decimal by moving it two places left or you can multiply it by 100. After converting it to a decimal, you will have 0.124 as a decimal. Multiply the decimal and the $850.
850 x 0.125 = 105.40.
Now subtract.
850 - 105.40 = 744.60
how do i find the x and y?
Answer:
using SOH CAH TOA
Step-by-step explanation:
Cheyenne is playing a board game. Her score was −175 at the start of her turn, and at the end of her turn her score was −325. What was the change in Cheyenne’s score from the start of her turn to the end of her turn? How did you determine your answer?
Enter the correct answers in the boxes.
points
I subtracted
from
.
Answer: -150
Step-by-step explanation:
To find the change in the score we need to find the difference between the two scores. To do this easily, we can add 175 to -325.
-325 + 175 = -150
By doing this we get the difference and the answer to the question.
Answer: -150
Step-by-step explanation: I subtracted from -325.
A random sample of size n = 70 is taken from a finite population of size N = 500 with mean μ = 220 and variance σ2 = 324. Use Table 1.
a-1. Is it necessary to apply the finite population correction factor?
Yes
No
Yes, it is necessary to apply the finite population correction factor because the sample size (n = 70) is more than 5% of the population size (N = 500). The finite population correction factor is used to adjust the standard error when a significant proportion of the population is sampled.
Yes, it is necessary to apply the finite population correction factor when calculating the standard error of the sample mean because the population size is finite and relatively small compared to the sample size. Without applying the correction factor, the standard error would be underestimated, leading to incorrect inference about the population mean.
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Next Londell needs a total of $400 to buy a new bicycle. He has $40 saved. He earns $15 each week delivering newspapers. How many weeks will Londell have to deliver papers to have enough money to buy the bicycle?
Londell needs to deliver newspapers for 24 weeks to have enough money to buy the bicycle.
Londell currently has $40 saved, and he needs a total of $400 to buy the bicycle. Each week, he earns $15 delivering newspapers.
To calculate the number of weeks Londell needs to work, we can set up an equation:
$40 (current savings) + $15 (weekly earnings) × (number of weeks) = $400 (total cost of the bicycle)
Simplifying the equation:
$40 + $15 = $400
Subtracting $40 from both sides of the equation:
$15 = $400 - $40
$15 = $360
Dividing both sides of the equation by $15:
= $360 / $15
≈ 24
Therefore, Londell will have to deliver newspapers for approximately 24 weeks to have enough money to buy the bicycle.
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What are irrational and rational numbers?
An irrational number is a type of real number which cannot be represented as a simple fraction.
A rational number is a number that can be expressed as an integer or the quotient of an integer divided by a nonzero integer.
Answer:
here is the definition of irrational and rational numbers
(05.02)
A system of equations is shown below:
x + 3y = 5 (equation 1)
7x - 8y = 6 (equation 2)
A student wants to prove that if equation 2 is kept unchanged and equation 1 is
replaced with the sum of equation 1 and a multiple of equation 2, the solution to the
new system of equations is the same as the solution to the original system of
equations. If equation 2 is multiplied by 1, which of the following steps should the
student use for the proof? (4 points)
The student would use the following step for the proof
Show that the solutions to \(7x - 8y = 6\) and \(8x - 5y = 11\) is the same as the solution of the original system
The system of equations is given as:
\(x + 3y = 5\)
\(7x - 8y = 6\)
Add both equations
\(x + 7x + 3y- 8y = 5 + 6\)
\(8x - 5y = 11\)
So, the new system of equations would be:
\(7x - 8y = 6\)
\(8x - 5y = 11\)
To prove that both equations would have the same solution, the student has to solve for x and y in both systems
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