Answer:
Slope= 2/3, Equation= y=2/3x+2
Step-by-step explanation:
what is the answer to the question of
Expand √2(5 + √8)
Answer:
Step-by-step explanation:
i hope it helps!
im stuck in this question
Which function is represented by the graph?
A) fx=|x-1|+3
B) fx=|x+1|-3
C) fx=|x-1|-3
D) fx=|x+1|+3
Answer:
The answer is B
Step-by-step explanation:
Hope this is helpful!<3
The correct function which represented by the graph is,
b. f(x) = |x+1| - 3
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
As we can clearly see from the graph the value of f(x) = 0 at x = 2 and
x = -4
a. f(x)=|x-1|+3
At x = 2;
f(2) = |2-1| + 3
= 1 + 3
= 4
Hence, This function is not represented by the graph.
c. f(x) = |x-1| - 3
At, x = 2
f(2)= |2-1|-3
= 1-3
= -2
Hence, this function is not represented by the graph.
d. f(x)=|x+1|+3
At x = 2;
f(2)= |2+1|+3
= 3+3
= 6
Hence, this function is not represented by the graph.
Hence, Correct option is:
b. f(x)=|x+1|-3
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If your player is Erik, write an inequality that shows all of the ways that Erik will win
if Nita chooses 7. If your player is Nita, write an inequality that shows all of the ways
that Nita will win if Erik chooses 17.
An inequality that shows all of the ways that Nita will win if Erik chooses 17 is
Eric will win if Nita chooses 7 and he chooses and number that is less than 17 (ex. n<17).Nita will win if Eric chooses 17 and she chooses a number less than 8 (ex. n<8).What is an Inequality?This refers to the relation in mathematics that makes an unequal comparison between two numbers or expressions.
Therefore, according to the rules of the game, they would have to make random selections from 0 to 20 and if the difference between their two numbers is less than 10, then Erik wins, the inequality that would show all of the ways that Nita will win if Erik chooses 17 are listed above.
Hence, we can see that the complete question goes thus:
"Erik and Nita are playing a game with numbers. In the game, they each think of a random number from zero to 20. If the difference between their two numbers is less than 10, then Erik wins. If the difference between their two numbers is greater than 10, then Nita wins.
Use what you know about inequalities and absolute values to better understand the game."
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Select the equality for the following at the store oranges are $1.33 per pound
Given:
Cost of oranges = $1.33 per lb
Let's select the correct equality.
Since the cost is $1.33 per lb, it means the cost of one lb of orange is $1.33
Therefore, the correct equality is:
1 lb = $1.33
ANSWER:
1 lb = $1.33
First, the unit for weight used is lb. Therefore, 2nd and 4th answer are wrong.
Oranges are $1.33 per lb -> Every pound of oranges is equivalent to $1.33
-> $1.33 = 1 lb.
let a and b be events with =pa0.8 and =pb0.9. assume that a and b are independent. (a) Compute PA and B.
(b) Are A and B mutually exclusive? Explain.
(c) Are A and B independent? Explain.
a)The probability that both A and B occur is 0.72 and b)A and B are not mutually exclusive and c)A and B are independent.
a) We have given that events a and b are independent and =pa0.8 and =pb0.9. Now, to find PA and B, we use the formula, P(A and B) = P(A) x P(B).P(A and B) = P(A) x P(B) = (0.8) x (0.9) = 0.72.
Hence, the probability that both A and B occur is 0.72.
(b) A and B cannot be mutually exclusive because if they were, the probability of their intersection would be 0. However, as we have already calculated, P(A and B) = 0.72.
Therefore, A and B are not mutually exclusive.
(c) As we have already mentioned, the events A and B are independent, which means that the occurrence of one event does not affect the probability of the other event.
We can also verify this using the formula, P(A and B) = P(A) x P(B). If we substitute the given probabilities in this formula, we get:
P(A and B) = P(A) x P(B)(0.8) x (0.9) = 0.72
This is the same value we got for P(A and B) earlier. Hence, we can say that A and B are independent.
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choose the most appropriate measures to describe the center and the variation. find the measures you chose student heights
The most appropriate measures to describe the center and the variation is given below:
What is variation?
In statistics, variation refers to the degree of dispersion or spread of a set of data values. It is a measure of how far apart the data points are from each other, and can be used to describe the amount of diversity or variability within a dataset.
To describe the center and variation of student heights, the most appropriate measures would be:
Center: Mean or Median - Mean is the average height of all students and Median is the middle height value when all student heights are arranged in order.
Variation: Range or Standard Deviation - Range is the difference between the tallest and shortest height in the group, while Standard Deviation measures how spread out the heights are from the mean.
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The gas tank in Sampson’s car has a capacity of 19.1 gallons. On a trip to see his cousin, Sampson begins with 12.8 gallons of gas in the tank. He stops after driving for 2 hours and fills the tank to capacity with 14.4 gallons. When Sampson arrives at his cousin's house, he has 3.7 gallons of gas left. How much gas, in gallons, did Sampson use on his trip?
Answer:
The answer would be 23.5 gallons of gas.
Step-by-step explanation:
You take away 14.4 gallons from the max capacity (19.1). Which gets you 4.7, the you take that away from 12.8 gallons. Which gets you 8.1 gallons. Then you take away 3.7 from 19.1 (15.4). Then add 8.1 and 15.4(23.5) So 23.5 is how many gallons of gas was used.
Hope this helps!
We want to see how much gas did Simpsons use on the trip.
The total amount of gas used in this trip is 23.5 gallons of gas.
We know that:
The maximum capacity of the tank is 19.1 gal.
The trip starts with 12.8 gal on the tank.
After two hours, he fills the tank to capacity with 14.4 gal.
Then at this moment, he had:
19.1 gal - 14.4gal = 4.7 gal.
Knowing that he started with 12.8 gal, this means that at this point the total amount of gas used is:
12.8 gal - 4.7 gal = 8.1 gal.
Ok, now the car has 19.1 gal of gas. We know that at the end of the trip, the car has 3.7 gallons of gas, then the amount consumed this time is:
19.1 gal - 3.7gal = 15.4 gal
The total amount consumed is:
8.1gal + 15.4 gal = 23.5 gal
So we can conclude that the total amount of gas used in this trip is 23.5 gallons of gas.
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Is (4, -2) a solution to -6x + y = -26 ?
Answer: ask the teacher to break it down for u
Step-by-step explanation:
that simpile
y=6x-26, Although I didn't really get what were you looking for
what the answer for order of operations 50+50-25x0+2+2 ?
For point S ( – 3 , 3 ) , where will the image of this point be located after applying the translation rule 3 units on the -axis and – 3 units on the -axis? ( 0 , 0 ) ( 0, 4 ) ( – 4 , 0 ) ( – 4 , 4 )
The image of the point after the transformation of 3 units on the x-axis and – 3 units on the y-axis is (0, 0)
Calculating the image of the point after the transformationGiven that the initial location of the point is
Point S = (-3, 3)
Next, we have the translation rule to be
3 units on the x-axis and – 3 units on the y-axis
Mathematically this can be expressed as
(x + 3, y - 3)
By substitution, we have
Image of point = (-3 + 3, 3 - 3)
Evaluate
Image of point = (0, 0)
Hence, the image is (0, 0)
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what rational function is this?
vertical asymptote: x=6
horizontal asymptote: y=0
x intercepts: none
y intercepts: (0,2/3)
no removable discontinuities
end behavior: as x approaches -infinity, y approaches 0. as x approaches infinity, y approaches infinity. as x approaches 0, y approaches infinity. as x approaches -infinity, y approaches infinity
Answer:
even degree with positive leading coefficient for end behavior x ----> infinity, y ---> infinity
Step-by-step explanation:
I have a chart you can use
The squirrels in our yard love black walnuts. 8% seem to prefer storing walnuts in our garage and 10% prefer to store them in our garden pots. If 4% of the squirrels are happy storing walnuts in both places, then what is the probability that a squirrel will store walnuts in either the garage or the garden pots? A 12% B 14% C 18% D 22%
Which shows numbers to least to greatest
A -2/5, -2.47, - 2 1/2, 5, 21/4
B 2/5, -2.47, -2 1/2, 21/4, 5
C -2 1/2, -2.47, -2/5, 5, 21/4
D -2 1/2, -2.47, -2/5, 21/4, 5
Answer:
C.
Step-by-step explanation
The higher the negative number is, the lower the number is. If there is a subtraction sign in front of a number then the number is small. Think of it on a little graph.
<-------------------------------------------------------------->
-5 -4 -3 -2 -1 0 1 2 3 4 5
If there is a / mark it means it is a fraction. So just think of the fraction being inbetween numbers.
Martin painted 255 square feet of his kitchen wall with 23 gallon of paint. If he continues coverage at the same rate, how many square feet can he cover with 2 gallons of paint?765 ft2510 ft2382.5 ft21,020 ft2
Complete Question
Martin painted 255 square feet of his kitchen wall with 2/3 gallon of paint. If he continues coverage at the same rate, how many square feet can he cover with 2 gallons of paint?765 ft2510 ft2382.5 ft21,020 ft
Answer:
765 square ft
Step-by-step explanation:
2/3 gallon of paint = 255 square feet
2 gallons of paint =
Cross Multiply
2 × 255 square feet/2/3 gallon of paint
= 510 ÷ 2/3
= 510 × 3/2
= 765 square feet
find the distance between the pairs of points. Round to the nearest hundredth (7, 11) and (4, 23)
Answer:
12.37
Step-by-step explanation:
I attached a picture of the work but a few notes on it
1. I did use a calculator for the square root
2. the square root symbol was in the way and a bit distracting so I had to drop it (temporarily) but to do that I squared both sides but that's kinda optional. and I wrote it on the paper
Rectangle PQRS is dilated about the origin to form P'Q'R'S'.
• Point P has coordinates (2, 0.5).
• Point P' has coordinates (8,2).
.
• The perimeter of PQRS is 16.
What is the perimeter of P'Q'R'S'?
A. 16
B. 24
C. 32
D. 64
The perimeter of the rectangle P'Q'R'S' is 64
What is the perimeter of P'Q'R'S'?If we let k be the dilation factor, then for any point (x, y) in PQRS and its corresponding point (x', y') in P'Q'R'S', we have:
k = distance from (0, 0) to (x', y') / distance from (0, 0) to (x, y)
To find the dilation factor, we can use the given points P and P':
k = distance from (0, 0) to (8, 2) / distance from (0, 0) to (2, 0.5)
k = √(8^2 + 2^2) / √(2^2 + 0.5^2)
k = √(68) / √(4.25)
k = 4
Given that
The perimeter of PQRS is 16.
So, we have
Perimeter of (PQRS)' = 16 * 4
Evaluate
Perimeter of (PQRS)' = 64
Hence, the perimeter of (PQRS)' is 64
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Find the coordinates of the midpoint between the two points.
(3, 1) and (-9, -7)
Please help?
Answer: (-3,-3)
Step-by-step explanation:
(3+-9)/2=-3
(1+-7)/2=-3
what is the aswer to ....y=3x+30
The equation is written in slope intercept form [ y = mx + b ]
m = slope
b = y-intercept
Using what I wrote above, we can see that:
m = 3
b = 30
Best of Luck!
Answer:
Solve y-3x+30 = 0
Step-by-step explanation:
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-3x+30 = 0 and calculate its properties
20 POINTS!!! WILL GIVE BRAINLIEST!!!
Answer:
equivalent. not equivalent. not equivalent
Step-by-step explanation:
In Figure NOPR above, segments NR and OP are parallel, and segments NO and RP are parallel.
Pair each set of equations with the corresponding transformation of figure NOPR to figure N'O'P'R'.
Picture Below
The transformations on their most likely corresponding equations are;
1. O'P' lies on x = 3; N'R' lies on x = 6.
Clockwise rotation of 180° about the origin and then a reflection over the x-axis2. O'P' lies on y = -3; N'P' lies on y = -6.
Reflection over the y-axis and then reflect over the x-axis3.
P'R' lies on y = -2, and O'N' lies on y = -6.
Counterclockwise rotation of 90° about the origin
How do you identify transformation?To identify transformations, we have to be conversant with various rules of transformation. When we reflect over the x or y-axis, the signs of the coordinates for x or y are supposed to change to negative.
However, Any transformation that happens such that the coordinates of the equation are both positive means that the image is on the first quatrain of the graph, which is the right and upper side of the x-axis.
If the rectangle is at the second quatrain, and it is rotated 180° degrees, it means that it still maintains its upright position. and when it is reflected back through the x-axis, it still maintains its upright position.
If the rectangle is rotated 90° counterclockwise, it bends and therefore the coordinates change.
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You go shopping and buy a gift for a friend, but on the day before you're going to give it to him, you notice that he already has exactly what you bought him! You take the gift back to the mall, but you lost your receipt. The cashier says that you can only get back cash for the lowest amount that the item sold for. The item was originally $50 and sales tax in your area is 9.5%. It went on sale on four different occasions. Keep in mind that when an item goes on sale, it is taxed first and then the discount is taken. The first sale was 10% off. The second sale was no tax. The third sale was buy 3, get 1 half off. The last one was buy anything over $40 and get a $5 gift card. How much cash will you get back? Activate Windove Go to Settings to active
The total cashback you will get back is\($ 49.75}\)
The Given, original price \($=\$ 50$\) Sales fax\($=9.5 \%$\\\)
For first sale
\(\begin{aligned}\text { Price of item } & =\$ 50 \\\text { sales tax } & =+\$ 4.75 \\10 \% \text { discount } & =\frac{-\$ 5}{\$ 49.75}\end{aligned}\)
A sale is a transaction between two or more parties that involves the exchange of tangible or intangible goods, services, or assets for money. In some cases, assets other than cash are paid to a seller.
In the financial markets, a sale can also refer to an agreement that a buyer and seller make regarding a financial security, its price, and specific arrangements for its delivery.
Regardless of the context, a sale is essentially a contract between a seller of a particular good or service and a buyer who is willing to pay for that good or service.
for second Sale:-
There is no tax
So price\($=\$ 50$\)
For third sale: - Buy 3 and get 1 half of
\(\begin{aligned}\text { Price }=50 \times 3 & =\$ 150 \\\text { Sales tax }= & +\$ 14.25 \\\text { Discount } & =\frac{-\$ 25}{\$ 139.25}\end{aligned}\)
So, price of 1 piece \($=\$ 46.42$\)
for fourth Sale; - Buy anything over \(\$40\) and get \($\$ 5$\) gift card.
\(& \text { Price }=\$ 50 \\& \text { sales tax }=+\$ 4.75 \\& \text { Gift card }=\frac{-\$ 5}{\$ 49.75}\end{aligned}\)
Therefore, the cashback you will get back is \($ 49.75}\)
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Each morning Bill leaves home between 6:30 and 8:00 to drive to work at University of Texas. The time it takes Bill to drive to work (TIME) depends on the departure time when he leaves after 6:30 (DEPART), the number of red lights on the way (REDS) and the number of trains that he has to wait for at the crossing (TRAINS). Observations for these variables are for 231 working days in 2006. TIME is measured in minutes after 6:30 that Bill departs. The estimated regression model is as follows; TIME -19.9166+0.3692DEPART+1.3353REDS +2.7548TRAINS R¹ -0.634 s.e (1.2548) (0.3038) (0.01553) (0.1390) a) What is the average estimated time in minutes to drive to work for Bill when he leaves on time at 6:30 and there are no red lights and no trains at the crossroad to wait?
( b) Interpret the estimated coefficients of REDS and TRAINS. c) Using a 5% significance level, test the hypothesis that each train delays Bill by 3 minutes. State your conclusion.
a) The average estimated time for Bill to drive to work when he leaves on time at 6:30 with no red lights and no trains to wait for is approximately -19.9166 minutes. b) The estimated coefficients of REDS and TRAINS in the regression model are 1.3353 (REDS). c) The absolute value of the calculated t-value (-1.7733) is less than the critical t-value (1.9719), we fail to reject the null hypothesis.
a) To find the average estimated time in minutes for Bill to drive to work when he leaves on time at 6:30 and there are no red lights and no trains at the crossroad to wait, we substitute the values into the regression model:
TIME = -19.9166 + 0.3692(DEPART) + 1.3353(REDS) + 2.7548(TRAINS)
Given:
DEPART = 0 (as he leaves on time at 6:30)
REDS = 0 (no red lights)
TRAINS = 0 (no trains to wait for)
Substituting these values:
TIME = -19.9166 + 0.3692(0) + 1.3353(0) + 2.7548(0)
= -19.9166
Therefore, the average estimated time for Bill to drive to work when he leaves on time at 6:30 with no red lights and no trains to wait for is approximately -19.9166 minutes. However, it's important to note that negative values in this context may not make practical sense, so we should interpret this as Bill arriving approximately 19.92 minutes early to work.
b) The estimated coefficients of REDS and TRAINS in the regression model are:
1.3353 (REDS)
2.7548 (TRAINS)
Interpreting the coefficients:
- The coefficient of REDS (1.3353) suggests that for each additional red light, the estimated time to drive to work increases by approximately 1.3353 minutes, holding all other factors constant.
- The coefficient of TRAINS (2.7548) suggests that for each additional train Bill has to wait for at the crossing, the estimated time to drive to work increases by approximately 2.7548 minutes, holding all other factors constant.
c) To test the hypothesis that each train delays Bill by 3 minutes, we can conduct a hypothesis test.
Null hypothesis (H0): The coefficient of TRAINS is equal to 3 minutes.
Alternative hypothesis (Ha): The coefficient of TRAINS is not equal to 3 minutes.
We can use the t-test to test this hypothesis. The t-value is calculated as:
t-value = (coefficient of TRAINS - hypothesized value) / standard error of coefficient of TRAINS
Given:
Coefficient of TRAINS = 2.7548
Hypothesized value = 3
Standard error of coefficient of TRAINS = 0.1390
t-value = (2.7548 - 3) / 0.1390
= -0.2465 / 0.1390
≈ -1.7733
Using a significance level of 5% (or alpha = 0.05) and looking up the critical value for a two-tailed test, the critical t-value for 230 degrees of freedom is approximately ±1.9719.
Since the absolute value of the calculated t-value (-1.7733) is less than the critical t-value (1.9719), we fail to reject the null hypothesis. This means that there is not enough evidence to conclude that each train delays Bill by 3 minutes.
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Reaching out 2 standard errors on either side of the sample proportion makes us about _________ confident that the true proportion is capable within the interval
a. 90%
b. 99%
c. 95%
d. 68%
The correct answer is option c. 95%. Reaching out two standard errors on either side of the sample proportion gives us an interval of 95% confidence.
This is due to the fact that two standard errors on either side of the sample proportion will cover around 95% of the population's cases.
We can typically determine the true proportion in the population using this range of two standard errors on either side of the sample proportion.
This is because it helps us identify any potential outliers in the population and provides a range of population proportions for which we may be 95% certain.
We are 95% certain that the true percentage is capable inside the interval if we stretch out two standard errors on either side of the sample proportion.
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You have a set of consecutive integers from (−5) to 5, inclusive. You multiply any three of the integers. What is the least positive integer you can get as the product?
The least positive integer we can get as the product is 2.
What is the least positive integer you can get?Here we have the following set of numbers:
{-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5}
And we want to take the product between 3 of them and find the least positive integer that we can get as the product.
So it makes sence to choose the smallest absolute value numbers (not zero) such that one is positive and two are negative (we want two negative ones so the signs cancell eachother)
Then we will get:
1*(-1)*(-2) = 2
That is the least positive integer we can get as the product.
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Answer the question its urgent
if 26 children were to be born in a hospital on a given day, how many combinations of 6 boys and 20 girls would exist? 230,230 4 x 10^26 500,000 15 Z
The number of combinations of 6 boys and 20 girls that can exist among 26 children born in a hospital on a given day is 230,230.
]To calculate the number of combinations, we can use the concept of binomial coefficients. The formula for calculating the number of combinations is C(n, k) = n! / (k!(n-k)!), where n is the total number of objects and k is the number of objects we want to select.
In this case, we have 26 children in total, and we want to select 6 boys and 20 girls. Plugging these values into the formula, we get C(26, 6) = 26! / (6!(26-6)!) = 230,230. Therefore, there are 230,230 different combinations of 6 boys and 20 girls that can exist among the 26 children born in the hospital on that given day.
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what is the base 10 representation of the number 1406(3 at the bottom)
The base 10 representatiοn οf the number 1406 (3 at the bοttοm) is 118.
Describe Base number?In mathematics, a base number refers tο the number system used tο represent numeric values. The base number determines the number οf symbοls used tο represent each value, as well as the value οf each symbοl. The mοst cοmmοn base number systems are base 10 (decimal), base 2 (binary), base 8 (οctal), and base 16 (hexadecimal).
In base 10, we use 10 digits (0-9) tο represent all pοssible values. In binary, we use οnly twο digits (0 and 1) tο represent values. In οctal, we use eight digits (0-7), and in hexadecimal, we use 16 digits (0-9 and A-F) tο represent values.
Fοr example, the decimal number 125 can be represented in base 2 as 1111101, in base 8 as 175, and in base 16 as 7D.
Cοnverting a number frοm οne base tο anοther invοlves dividing the number by the base and repeatedly finding the remainder until the quοtient becοmes zerο. The remainders, read frοm bοttοm tο tοp, represent the digits οf the new number in the new base.
Tο cοnvert a number in base 3 tο base 10, we need tο multiply each digit οf the number by the cοrrespοnding pοwer οf 3, and then sum up the prοducts.
Starting frοm the rightmοst digit οf the number, the pοwers οf 3 increase by 1 fοr each digit tο the left. Sο, fοr the number 1406 (3 at the bοttοm), we have:
1 × 3⁰ + 0 × 3¹ + 4 × 3² + 1 × 3³ = 1 + 0 + 36 + 81 = 118
Therefοre, the base 10 representatiοn οf the number 1406 (3 at the bοttοm) is 118.
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Stewart, Oswaldo, Kevin, and Flynn go to a soccer day at the FC Dallas’ arena, Toyota Stadium, in
Frisco, Texas. The coach has a computer and video system that can track the height and distance of
their kicks. All four soccer players are practicing up-field kicks, away from the goal.
Stewart goes first and takes a kick starting 12 yards out from the goal. His kick reaches a maximum
height of 17 yards and lands 48 yards from the goal.
Oswaldo goes next and the computer gives the equation of the path of his kick as y = -x 2 + 14x - 24,
where y is the height of the ball in yards and x is the horizontal distance of the ball from the goal line in
yards.
After Kevin takes his kick, the coach gives him a printout of the path of the ball.
Finally, Flynn takes his kick but the computer has a problem and can only give him a partial table of
data points of the ball’s trajectory.
Flynn’s Table:
Distance from the
goal line in yards
10 11 12 13 14 15 16 17 18 19 20
Height in yards 0 4.7 8.75 12.2 15 17.2 18.75 19.7 20 19.7 18.75
The computer is still not working but Stewart, Oswaldo, Kevin, and Flynn want to know who made the
best kick.
Answer:
To compare the kicks, we need to determine which kick goes the farthest and/or highest. Let's analyze each kick one by one.
Stewart's kick:
Starting 12 yards out from the goal, Stewart's kick reaches a maximum height of 17 yards and lands 48 yards from the goal. We can assume that the ball lands at the same height as it was kicked. Therefore, the horizontal distance traveled by the ball is:
d = 48 - 12 = 36 yards
The total distance traveled by the ball is the hypotenuse of a right triangle with legs of 36 and 17 yards. Using the Pythagorean theorem, we can find the distance traveled by Stewart's kick:
distance = sqrt(36^2 + 17^2) ≈ 40.48 yards
Oswaldo's kick:
According to the equation given, the height of the ball (in yards) at any horizontal distance (in yards) from the goal is given by:
y = -x^2 + 14x - 24
We want to find the maximum height reached by the ball, so we need to find the vertex of the parabolic path. The x-coordinate of the vertex is given by:
x = -b / 2a = -14 / (-2) = 7
The maximum height is the y-coordinate of the vertex:
y = -(7)^2 + 14(7) - 24 = 25
Therefore, Oswaldo's kick reaches a maximum height of 25 yards.
To find the horizontal distance traveled by the ball, we need to find the x-intercepts of the parabolic path. Setting y = 0, we get:
0 = -x^2 + 14x - 24
Solving for x using the quadratic formula, we get:
x = (14 ± sqrt(14^2 - 4(-1)(-24))) / (2(-1)) ≈ 2.63, 11.37
Therefore, the ball lands at a horizontal distance of approximately 2.63 or 11.37 yards from the goal. The total distance traveled by the ball is the sum of the horizontal distance and the maximum height:
distance = 11.37 + 25 ≈ 36.37 yards
Kevin's kick:
We don't have the equation or data for Kevin's kick, so we can't determine the maximum height or the total distance traveled by the ball.
Flynn's kick:
We have a partial table of data points for Flynn's kick. We can plot the points on a graph and draw a curve that fits the data points. Here is the graph:
Flynn's Kick
The curve appears to be a parabolic path, so we can assume that the equation for the path is:
y = ax^2 + bx + c
To find the coefficients a, b, and c, we need to solve a system of equations using three data points. Let's use the data points (12, 8.75), (15, 17.2), and (18, 19.7).
Using the first data point, we get:
8.75 = a(12)^2 + b(12) + c
Using the second data point, we get:
17.2 = a(15)^2 + b(15) + c
Using the third data point, we get:
19.7 = a(18)^2 + b(18) + c
Solving this system of equations using a calculator or matrix methods, we get:
a ≈ 0.0571
b ≈ -1.
Hope this helped, I'm sorry if it didn't. If you need more help, ask me! :]
need help asap. low geometry grade
Answer:
x=9.3
Step-by-step explanation:
use SohCahToa
in this case u use cos
cos(41°)=7/x
x=7/cos(41)
x=9.275090953
x=9.3