The equation line which is parallel to y = - (1/8)x - 8 and passes through (8, 5) will be y = -(1/8)x + 6.
Given that:
Equation, y = - (1/8)x - 8
The slope of the parallel lines is equal. Then the equation of the parallel line is given as,
y = -(1/8)x + c
The equation passes through (8, 5), then we have
5 = -(1/8) * 8 + c
5 = - 1 + c
c = 6
The equation of the parallel line will be y = -(1/8)x + 6.
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Through (3,3) perpendicular to y=-3/4x+5
y = (-4/3)x + 1 this line will intersect point (3,-3) and be perpendicular to the line y = (3/4)x + 5.
What is the standard equation of a line?y = (3/4)x + 5
Compare with the standard form of equation y = mx +c
3/4 is the slope.
The negative reciprocal of the slope is used to obtain a perpendicular slope.
-4/3 is the perpendicular slope.
Let's rewrite the equation: y = (-4/3)x + b
Remember that b is the line's y-intercept base. If the line must pass straight through the point (3, -3), we must determine the location of the base.
To accomplish this, we just enter our point into the formula and solve for our base.
-3 = (-4/3)(3) + b
Now calculate b: b = (-4/3)(3) + 3
b = -4 + 3 b = 1
You now get the final equation: y = (-4/3)x + 1 now that you have the base.
This line will intersect point (3,-3) and be perpendicular to the line y = (3/4)x + 5.
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Complete question:
write an equation passing through the point that is perpendicular to(3,-3); y= 3/4 x+5
In this diagram, AT = 2x + 3, CT = 3x - 1, BT = x + 5,
DT = 4x + 1, and mLATD = 41x + 8. If x = 2,
which segment is the perpendicular bisector of the other? Explain your reasoning.
Neither of the segments is the perpendicular bisector of the other.
Which line is the perpendicular bisector?To determine which segment is the perpendicular bisector of the other, we need to find the equations of the lines containing each segment and then check if one of the lines is perpendicular to the other and passes through the midpoint of the other segment.
Let's start by finding the midpoint of segment AT. The coordinates of A and T are not given, but we don't actually need them to find the midpoint.
So, the midpoint M of segment AT is:
M = ((AT_x1 + AT_x2)/2, (AT_y1 + AT_y2)/2)
We don't know the actual values of AT_x1, AT_x2, AT_y1, and AT_y2, but we can find their expressions in terms of x using the segment lengths and the coordinates of the endpoints. We have:
AT_x2 - AT_x1 = BT_x2 - AT_x1 = (x + 5) - (2x + 3) = -x + 2
AT_y2 - AT_y1 = BT_y2 - AT_y1 = (BT - AT) = (x + 5) - (2x + 3) = x + 2
Therefore,
AT_x1 = AT_x2 + x - 2
AT_y1 = AT_y2 - x - 2
Now, we can substitute x=2 and the expressions for AT_x1 and AT_y1 into the midpoint formula to find the coordinates of M:
M = ((AT_x1 + AT_x2)/2, (AT_y1 + AT_y2)/2) = ((AT_x2 + 2 - AT_x2)/2, (AT_y2 - 2 - AT_y2)/2) = (1, -1)
So, the midpoint of segment AT is M(1, -1).
Next, let's find the equations of the lines containing segments AT and DT. We can use the point-slope form of the equation of a line, which states that the equation of a line passing through a point (x1, y1) with slope m is y - y1 = m(x - x1).
For segment AT, we have:
m_AT = (AT_y2 - AT_y1)/(AT_x2 - AT_x1) = (x + 2)/(x - 1)
Let's substitute x=2 to find the slope of the line containing segment AT:
m_AT = (2 + 2)/(2 - 1) = 4
So, the equation of the line containing segment AT is:
y - AT_y1 = m_AT(x - AT_x1)
y - (22 + 3) = 4(x - 22 - 1)
y - 7 = 4(x - 5)
y = 4x - 13
For segment DT, we have:
m_DT = tan(m∠ATD) = tan(41x + 8)
Let's substitute x=2 and simplify:
m_DT = tan(82 + 8) = tan(90) = undefined
This means that the line containing segment DT is vertical and its equation is x = DT_x1 = 4*2 + 1 = 9.
Now, we need to check if one of these lines is perpendicular to the other and passes through the midpoint of the other segment.
First, let's check if the line containing segment AT is perpendicular to the line containing segment DT. We have:
m_AT * m_DT = 4 * undefined = undefined
Since undefined is not equal to -1, the lines are not perpendicular, and we can rule out the possibility that the line containing segment AT is the perpendicular bisector of segment DT.
Next, let's check if the line containing segment DT is perpendicular to the line containing segment AT. We have:
m_AT = 4
So, the slope of the line perpendicular to the line containing segment AT is -1/4. We can use the point-slope form of the equation of a line again:
y - M_y = -1/4(x - M_x)
y - (-1) = -1/4(x - 1)
y + 1 = -1/4x + 1/4
y = -1/4x + 3/4
Now, we need to check if this line passes through point D, an endpoint of segment DT. We can substitute the coordinates of D into the equation of the line and check if the equation holds true:
DT_y1 = 4*2 + 1 = 9
DT_x1 = 9
9 = -1/4*9 + 3/4
9 = -9/4 + 3/4
9 = -6/4
This is not true, so the line containing segment DT does not pass through point D. Therefore, we can conclude that the line containing segment DT is not the perpendicular bisector of segment AT.
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URGENT - Will also give brainliest to simple answer
Answer:
6/6=1
Step-by-step explanation:
1/2 divided by blank = 1/8 because 1/8 x blank = 1/2
Answer:
blank is 4
Step-by-step explanation:
We can set up the equation:
[tex]\frac{1}{8} *x = \frac{1}{2}[/tex]
To solve, multiply both sides by 8.
[tex]\frac{1}{2}*8 = 4[/tex]
This checks out with the other statement.
GUYS I NEED HELP ASAP IF YOU HELP I WILL GIVE 15 POINTS
Shelley invested some money in an account that will mature in one year. If Shelley withdraws the money after the maturity date, she will receive her initial investment plus 15%, but if she withdraws her money now, she will only be able to withdraw 80% of what she put into the account.
Shelley put $317 into the account initially. How much of her initial investment will she lose if she withdraws her money now?
Answer: $63.40
Step-by-step explanation:
She starts out with $317 but she will only get 80% which means she will lose 20%
100%-80%=20%
take 20% of 317
.2 x 317 convert 20% to decimal by moving decimal twice and multiply
=63.4
She will lose $63.40
Reason:
If she withdraws early, she can only withdraw 80% of what she put in. She takes a 20% penalty.
20% of 317 = 0.20*317 = 63.40 dollars is how much she loses.
Put another way:
She is able to withdraw 0.80*317 = 253.60 dollars if doing so early. She lost 317-253.60 = 63.40 dollars
please help me i am confused
Can someone give me a trig function with the following criteria
The trig function that meets the given criteria is determined as f(x) = 4sin(π/4x) + 9.4.
What is the trig function for the given criteria?
We can use the formula for a sinusoidal function of the form:
f(x) = Asin(Bx - C) + D
where:
A is the amplitudeB determines the period as T = 2π/BC determines the horizontal shiftD determines the vertical shiftWe have A = 4 and K = 9.4, so we know that the midline of the function is at y = D = 9.4.
Since we don't have any information about the horizontal shift, we can assume that C = 0.
Then, the formula becomes:
f(x) = 4sin(Bx) + 9.4
Now, we need to find B so that the function has a period of 2π. Since the period is given by T = 2π/B, we have:
2π = TB = (13.4 - 5.4)B = 8B
Therefore, B = π/4. Finally, we can write the function as:
f(x) = 4sin(π/4x) + 9.4
This function has an amplitude of 4, a midline at y = 9.4, and a period of 2π.
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Suppose that Leni and Thom are lawyers and each has a taxable income of $230,000. They can't decide if they should be married in December or in January. If they marry in December, then they are considered married for the entire tax year and could file a joint return. If they get married in January of the next year, they would file a separate return each as a single taxpayer. Examine Schedules X and Y-1. Which filing status would yield the lower tax? If so, by how much? is there really a marriage penalty?
Answer:The term used for the $400 difference in Alex and Alecia's tax liability is known as the marriage penalty. Option C
The marriage penalty refers to the situation in which a married couple pays more taxes than they would if they were both single and filing separately. This penalty arises due to the progressive tax system in which the tax rate increases as the income increases. When two individuals with similar income levels get married and file jointly, their combined income puts them in a higher tax bracket, resulting in a higher tax liability.
In this case, Alex and Alecia's joint tax liability is $9,300, which is higher than the sum of their individual tax liabilities ($3,900 + $5,000 = $8,900). Therefore, they are paying an extra $400 due to the marriage penalty. This penalty can be significant for couples with similar incomes, as it can impact their financial planning and budgeting. However, there are also cases in which couples may benefit from the marriage tax advantage, such as when one spouse earns significantly less than the other.
Overall, it is essential for couples to understand their tax liability and to explore different filing options to determine the most advantageous one for their particular situation. Therefore option C is correct.
Step-by-step explanation:
Answer:
neither
$0
No
Step-by-step explanation:
10 yd
T
12 yd
5 yd
Name of figure: ___\\
Volume:
Answer:
name of figure : pyramid
volume : 200yds.
Step-by-step explanation:
The formula for volume of a pyramid is 1/3(lwh), in this case, it would be 1/3(12x5x10). 12x5x10 is 600, and 1/3 of 600 is 200. Therefore, the volume is 200yds.
IM VERY SORRY IF THIS DIDN'T MAKE SENSE!
Round your answer to the nearest tenth, and type it in the blank without units.
According to the given data the length of the cable is 257.6ft.
What is meant by angle?An angle is formed by two rays, also called sides or arms, that extend from the vertex in different directions. The amount of turn between the two rays is the angle's measure, usually expressed in degrees or radians. A full turn, or a complete revolution, is 360 degrees or 2π radians.
According to the given information:To find the length of the cable, we can use trigonometry. Let "x" be the length of the cable. The tower height forms a right angle with the ground, so we can use the sine function:
sin(50) = opposite/hypotenuse
sin(50) = height/x
We know the height of the tower is 200 ft, so we can solve for x:
x = height/sin(50)
x = 200/sin(50)
x ≈ 257.6 ft
Therefore, the length of the cable is approximately 257.6 ft.
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The histograms display the frequency of temperatures in two different locations in a 30-day period.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. A shaded bar stops at 10 above 60 to 69, at 9 above 70 to 79, at 5 above 80 to 89, at 4 above 90 to 99, and at 2 above 100 to 109. There is no shaded bar above 110 to 119. The graph is titled Temps in Sunny Town.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 16. A shaded bar stops at 2 above 60 to 69, at 4 above 70 to 79, at 12 above 80 to 89, at 6 above 90 to 99, at 4 above 100 to 109, and at 2 above 110 to 119. The graph is titled Temps in Desert Landing.
When comparing the data, which measure of center should be used to determine which location typically has the cooler temperature?
Median, because Desert Landing is symmetric
Mean, because Sunny Town is skewed
Mean, because Desert Landing is symmetric
Median, because Sunny Town is skewed
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
Question 9
A teacher was interested in the subject that students preferred in a particular school. He gathered data from a random sample of 100 students in the school and wanted to create an appropriate graphical representation for the data.
Which graphical representation would be best for his data?
Stem-and-leaf plot
Histogram
Circle graph
Box plot
The number of people that prefer mustard is 900 and the graphical representation of a datasets are box plots & circle graphs
Interpreting the histogramThe histogram is not given and the data represented on the histogram are not properly presented
This means that the histogram cannot be interpreted
Predicting the number of hotdogsHere, we have
Ketchup = 63
Mustard = 27
Chili = 60
So, we have
Mustard = 27/(63 + 27 + 60) * 5000
Evaluate
Mustard = 900
This means that 900 people prefer mustard
The graphical representation of a datasetGiven that
Data = Milligrams of Vitamin C from 100 different gummy vitamins sold
This data can be represented using a box plot because the five-summary data can be easily identified from the dataset
From the five-summary, the median can be derived
The graphical representation of a datasetIn this case, the graph to use is a circle graph
This is so because the circle graph would show the proportion of the student's preferences
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What is the term for the probability that a value falling outside the control limits is still due to normal variation
The term for the probability that a value falling outside the control limits is still due to normal variation is called the Type I error or the alpha error.
The term for the probability that a value falling outside the control limits is still due to normal variation is called the Type I error or alpha error.
It refers to the probability of rejecting a true null hypothesis (in this case, the process is in control) when it should not be rejected. In other words, it is the probability of concluding that there is a problem with the process when there is actually no problem, and the observed value is simply a result of random variation.
This means that the value appears to be abnormal, but it is actually just a result of the natural variation in the process. It is important to minimize the risk of Type I errors to ensure that only truly abnormal values are addressed and corrected.
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find the volume of a cylinder with a height of 7 cm and a radius of 3 cm ?
B
Step-by-step explanation:
Describe his mistake
Answer:
In (-3)^2, Henry multiplied -3 by 2. That is not correct. (-3)^2 = (-3)(-3) = 9. Additionally, a^3 • a^4 = a^7, and so
[tex] {( - 5ab)}^{3} \times {( - 3 {a}^{2} {b}^{2} )}^{2} [/tex]
[tex] {( - 5)}^{3} {a}^{3} {b}^{3} \times ( { - 3)}^{2} {a}^{4} {b}^{4} [/tex]
[tex]( - 125 \times 9) {a}^{7} {b}^{7} = 1125 {a}^{7} {b}^{7} [/tex]
The rain gauge after a week showed that there were ten inches of rain. Every day the rain evaporated four inches but two more inches of rain was added. By what day was the rain gauge free of water?
A. day 11
B. day 10
C. day 8
D. day 7
Therefore, it takes four days for the rain gauge to be free of water. The answer is option D, day 7.
What is equation?In mathematics, an equation is a statement that asserts the equality of two expressions. An equation usually contains one or more variables, which are symbols that represent unknown or varying quantities. The values of the variables that satisfy the equation are called the solutions of the equation.
Here,
Let's start by finding out how much water is left in the gauge after one day of evaporation and addition. If the rain gauge had 10 inches of water at the start of the week, then after one day:
4 inches of water would have evaporated, leaving 10 - 4 = 6 inches of water.
2 more inches of rain would have fallen, bringing the total to 6 + 2 = 8 inches of water.
So after one day, the rain gauge has 8 inches of water.
Now we need to repeat this process until there is no water left in the gauge.
After the second day:
4 more inches of water would have evaporated, leaving 8 - 4 = 4 inches of water.
2 more inches of rain would have fallen, bringing the total to 4 + 2 = 6 inches of water.
After the third day:
4 more inches of water would have evaporated, leaving 6 - 4 = 2 inches of water.
2 more inches of rain would have fallen, bringing the total to 2 + 2 = 4 inches of water.
After the fourth day:
4 more inches of water would have evaporated, leaving 4 - 4 = 0 inches of water.
2 more inches of rain would have fallen, but it would not have filled the gauge since it was already empty.
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HELP ASAPPP I WILL GIVE U BRAINLEST What is the surface area of the square pyramid represented by the net?
Enter your answer in the box.
m²
Answer:
6^2 + 4(1/2)(6)(9) = 36 + 108 =
144 square meters
In an instant lottery, your chances of winning are 0.1. If you play the lottery twice and outcomes are independent, the probability that you lose both times is
The probability that you lose both times in the instant lottery is 0.81.
In order to find the probability of losing both times in the instant lottery, we can use the following steps:
Determine the probability of losing once:
Since the probability of winning is 0.1, the probability of losing is 1 - 0.1 = 0.9.
Calculate the probability of losing twice:
Since the outcomes are independent, we can multiply the probabilities of losing each time.
So, the probability of losing both times is 0.9 * 0.9.
Calculate the final result: 0.9 * 0.9 = 0.81.
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solve the equation in the interval [0, 2π) 3csc^2x=4
The equation in the interval [0, 2π) 3csc^2x=4 are: x = π/3 and x = 2π/3.
What is the solutions in the interval?We can start solving the equation by isolating the csc^2(x) term, using the fact that csc^2(x) = 1/sin^2(x):
3csc^2(x) = 4
csc^2(x) = 4/3
1/sin^2(x) = 4/3
sin^2(x) = 3/4
Taking the square root of both sides, we get:
sin(x) = ±√(3/4) = ±(√3)/2
Since we are looking for solutions in the interval [0, 2π), we need to determine the angles in this interval whose sine is equal to ±(√3)/2. These angles are π/3 and 2π/3, since sin(π/3) = √3/2 and sin(2π/3) = √3/2.
Therefore, the solutions in the interval [0, 2π) are:
x = π/3 and x = 2π/3.
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What is this in standard form
Answer: 3x²-2x+5=0
You subtract the 2x and add 9 from both sides to get 3x²-2x+9=0
Answer:
3x^2−2x+5=0
Step-by-step explanation:
3x^2-4=2x-9
first you gotta add 9 to both sides
3x^2+5=2x
then you gotta subtract 2x from both sides
3x^2-2x+5=0
-SpoOky
hey! can anybody help me with part a?
We can see here that the displays that can be used to display the data set of the water districts are:
Frequency table, Bar graphCircle graph.The data set of the water districts is:
categoricalbivariateWhat is data?Data refers to any information or facts that can be collected, stored, and analyzed. This can include a wide range of things, such as numbers, text, images, audio recordings, and more.
Data can be used to provide insights, make decisions, and drive actions in a variety of fields, including science, business, medicine, and more. In order to be useful, data needs to be organized, structured, and analyzed in a way that can provide meaningful insights and information.
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Players A and B have a normal form game where each player chooses High or Low. If A and B both pick L, then they each get 3. If A picks Land B picks H, then A gets 9 and B gets 4. If they both pick H, then A gets 0 and B gets 6. If A picks Hand B picks L then they both get 5. In this game, A's best response to B choosing Lis while B's best response to A choosing Lis____ a. Н; Н b. H;L c. L;H
d. L;L
To find A's best response to B choosing L in normal form game, we can compare the payoffs for A choosing H and L when B chooses L.
If A chooses H and B chooses L, then A's payoff is 0 and B's payoff is 6.
If A chooses L and B chooses L, then A's payoff is 3 and B's payoff is 3.
Comparing the payoffs, we see that A gets a higher payoff if he chooses H when B chooses L. Therefore, A's best response to B choosing L is H.
To find B's best response to A choosing L, we can compare the payoffs for B choosing H and L when A chooses L.
If A chooses L and B chooses H, then A's payoff is 9 and B's payoff is 4.
If A chooses L and B chooses L, then A's payoff is 3 and B's payoff is 3.
Comparing the payoffs, we see that B gets a higher payoff if he chooses L when A chooses L. Therefore, B's best response to A choosing L is L.
So, the answer is (c) L;H. A's best response to B choosing L is H, and B's best response to A choosing L is L.
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If r = 12 units and x = 15 units, then what is the volume of the cylinder shown above? A. 8,640 cubic units B. 180 cubic units C. 648 cubic units D. 2,160 cubic units
Answer:
b
Step-by-step explanation:
pls help fast with this question
Hence, it will take 2.6 hours for the two trains to be 520 miles apart.
What is the distance?Distance is a numerical or occasionally qualitative measurement of how far apart objects or points are. In physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.
What is the speed ?In everyday use and in kinematics, the speed of an object is the magnitude of the change of its position over time or the magnitude of the change of its position per unit of time; it is thus a scalar quantity..
The two trains are moving away from each other,
so we can add their speeds to get their relative speed:
relative speed = 95 mph + 105 mph = 200 mph
Now ,we determine the time it takes for the trains to be 520 miles apart,
so we can use the formula:
distance = speed × time
let t be the time it takes for the trains to be 520 miles apart.
Then we get,
520 = 200 × t
Solving for t, we get:
t = [tex]\frac{520}{200}[/tex]
t = 2.6 hours
Therefore, it will take 2.6 hours for the two trains to be 520 miles apart.
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the median home cost in the us in 1975 was $40,000. in 1990, an equivalent home cost $140,000. the trend continued into 2005 when the median home cost in the us was approximately $240,000. assuming that this data's relationship is steady in the future, what is a reasonable estimate of the median home cost in the us in 2025?
The reasonable estimate of the median home cost in the US in 2025 is $340,000
To assess the middle domestic taking a toll within the US in 2025, ready to utilize the verifiable drift and expect that the relationship between the middle domestic fetched and time (measured in a long time since 1975) is straight.
Let`s begin with calculating the rate of increment in median domestic fetched per year utilizing the information from 1975 to 2005. Ready to utilize the equation for the slant of a direct relapse line:
slant(slope) = (y2 - y1) / (x2 - x1)
where
y1 and y2 are the middle domestic costs in 1975 and 2005,
separately, and x1 and x2 are comparing a long time (0 and 30).
incline = ($240,000 - $40,000) / (30 - 0) = $6,000
This implies that the middle domestic taken a toll expanded by a normal of $6,000 per year amid this period.
Presently, ready to utilize this rate of increment to appraise the middle domestic taken a toll in 2025, which is 50 long times after 1975.
The year 2025 will be 50 a long time after 1975, so the number of a long time since 1975 will be x = 50. Utilizing the incline we fair calculated, able to assess the middle domestic fetched in 2025 as takes after
y = y1 + slant(slope) * x = $40,000 + $6,000 * 50 = $340,000
Therefore, a sensible assessment of the middle domestic taking a toll within the US in 2025, based on the presumption that the slant watched from 1975 to 2005 proceeds, is $340,000.
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Alyssa received a leadership patch, as shown below, when she was elected Student Body President.
The patch is in the shape of a right triangle where the top section and the whole patch form similar triangles.
If x = 55 mm, z = 80 mm, and the tangent of the bottom angle, where the star is located, is equal to , what is the length of w?
A. 32 mm
B. 48 mm
C. 55 mm
D. 40 mm
The length of the side w is 55mm. Option C
How to determine the valueNote that the different trigonometric identities are;
sinetangentcosinesecantcosecantcotangentFrom the triangle shown, we have;
x = 45mm
z = 80mm
We also have tangent where the star is located is 1
Then,
tan θ = 1
find the tangent inverse of the values
θ = 45 degrees
As given in the diagram, the diagrams are similar
So both angles are 45 degrees
However, we can deduce that since the angles are equal, then, the sides are equal
x = w = 55mm
w = 55mmm
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a coach is interested in knowing if there is a difference in 40 yard dash times between collegiate soccer, football, and cross-country players. the independent variable in a study examining this difference is
The independent variable in the study examining the difference in 40 yard dash times between collegiate soccer, football, and cross-country players is the type of sport played by the athletes.
The coach is interested in comparing the 40 yard dash times of athletes from three different sports: soccer, football, and cross-country.
In this study, the independent variable is manipulated by selecting participants from each of the three sports. The athletes' 40 yard dash times will be the dependent variable, which is expected to vary based on the independent variable (i.e., the type of sport played by the athletes).
By comparing the 40 yard dash times of athletes from different sports, the coach can gain insights into how different types of athletic training and conditioning may affect speed and agility.
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write the number six hundred and seven thousand five hundred and thirty-two in figures
Answer:
607,532
The number "six hundred and seven thousand five hundred and thirty-two" can be written in figures as 607,532.
The ratio of the number of red balls to blue balls to green balls is 3:2:5. There are 60 balls altogether? (1) How many balls are red? (2) How many balls are blue? (3)Write in fraction form,the ratio of green balls to red balls
Answer:
1) 18 Red balls
2) 12 blue balls
3) [tex]\frac{5}{3}[/tex] green balls to red balls
Step-by-step explanation:
R B G
3:2:5
3+2+5 = 10
60/10 = 6
to find the number of red balls simply do
3 * 6 = 18
to find the number of blue balls do
2 * 6 = 12
to find the number of green balls do
5 *6 = 30
the ratio of green/red same as the original
5/3
A toy manufacturer produced millions of the latest popular toy. Over time, the popularity of the toy faded. What is likely to happen to the price of the toy after it lost popularity and why?
A.The price would go up, because demand decreased.
B.The price would go up, because supply decreased.
C.The price would go down, because supply decreased.
D.The price would go down, because demand decreased.
What will likely happen to the price of the toy after it lost popularity is that the price would go down, because demand decreased. That is option D.
What is the effect of decrease in popularity of a product?The effect of decrease in the popularity of a product affects both it's demand and the cost price.
Since the product is less needed by the consumers and population at large the manufacturer would adjust the cost price to enhance its sales output at the end of each business month.
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add. write your answer in simplest form 7 1/4 +4 5/12
Therefore, the simplified sum of the expression 7 1/4 and 4 5/12 is 35/3 that is option D, 11 2/3.
What is expression?In mathematics, an expression is a combination of symbols and/or numbers that represents a quantity or a mathematical relationship between quantities. Expressions can be simple or complex, and can involve arithmetic operations, algebraic operations, functions, and variables.
Here,
To add these mixed numbers, we need to first convert them to improper fractions with the same denominator:
7 1/4 = 28/4 + 1/4
= 29/4
4 5/12 = 48/12 + 5/12
= 53/12
Now, we can add the fractions:
=29/4 + 53/12
To find a common denominator, we can multiply the denominator of the first fraction by 3 and the denominator of the second fraction by 1:
29/4 × 3/3 = 87/12
53/12 × 1/1 = 53/12
Now we have the same denominator, so we can add the numerators:
87/12 + 53/12 = 140/12
We can simplify by dividing the numerator and denominator by their greatest common factor, which is 4:
140/12 ÷ 4/4 = 35/3
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