Find the angle measure for X and name the relationship
C. because 103° and angle b are vertically opposite angle and angle b is corresponding to x
1. The height of a soccer ball that is kicked from the ground can be approximated by the function:
y= -18x^2 + 90x
where y is the height of the soccer ball is x seconds after it is kicked.
Find the time, in seconds, it takes from the moment the soccer ball is kicked until it returns to the ground.
2. The height of a soccer ball that is kicked from the ground can be approximated by the function:
y = -16x^2 + 64x
where y is the height of the soccer ball in feet x seconds after it is kicked. What is the soccer ball's maximum height in feet?
Answer:
2. [tex]\displaystyle 64\:feet[/tex]
1. [tex]\displaystyle 5\:seconds[/tex]
Step-by-step explanation:
2. Sinse we do not have a y-intercept [C-value in this case], we have to use a part of the quadratic formula to solve for x, and rewrite this equation in Vertex Form, with [tex]\displaystyle [h, k][/tex] as the vertex point. Observe:
[tex]\displaystyle -\frac{b}{2a} = x \\ \\ -\frac{64}{2[-16]} = \frac{-64}{-32} = 2[/tex]
Now, keep in mind that [tex]\displaystyle -h[/tex] in the vertex formula, [tex]\displaystyle y = a[x - h]^2 + k,[/tex] gives you the OPPOSITE TERMS OF WHAT THEY REALLY ARE, so in this case, sinse 2 is already positive, you do not need to alter its operation sign. With this being stated, you should already have this:
[tex]\displaystyle y = -16[x - 2]^2[/tex]
Now, to find k, all you have to do is plug 2 into the TOP equation to get your maximum height:
[tex]\displaystyle -16[2]^2 + 64[2] = -16[4] + 128 = -64 + 128 = 64 \\ \\ \\ y = -16[x - 2]^2 + 64[/tex]
Therefore, sinse 64 is your k-value, 64 feet is indeed your maximum height.
1. Simply factour the quadratic equation:
[tex]\displaystyle y = -18x^2 + 90x \\ 0 = -18x[x - 5] \\ \\ 5, 0 = x[/tex]
In this case, from a height of sixty-four feet, it is IMPOSSIBLE for the football to hit the ground in zero seconds, therefore the ball will reach the ground in 5 seconds, which makes alot more sence.
I am joyous to assist you at any time.
** Minimum Height → [tex]\displaystyle A[/tex]
** Maximum Height → [tex]\displaystyle -A[/tex]
is -√16 a rational number or irrational?
Answer:
irrational
Step-by-step explanation:
Enter a number sentence with > or < to compare -- 5 1/2 and -- 3 and explain your answer.
Answer:
-5 1/2 < -3
Step-by-step explanation:
because the higher or bigger the number is as a negative the lower the number really is.
Hope this helps!
3/4 (FRACTION) x 12
Please simplify.
Thanks
Answer:
9
Step-by-step explanation:
Malik completes 0.7 of the total number of push-ups his coach requires. Which does NOT represent the part of the push-ups Malik completes? Please help I really need your help!!!
7%
14/20
70%
0.70
Answer:
7% does not represent the part 0.7 of the push-ups Malik completes because 7% is NOT equivalent to 0.7.
Step-by-step explanation:
Given that Malik completes 0.7 of the total number of push-ups his coach requires.
Checking the given options:
7% = 7/100 = 0.07
14/20 = 0.7
70% = 70/100 = 7/10 = 0.7
0.70 = 0.7
Therefore,
7% does not represent the part 0.7 of the push-ups Malik completes because 7% is NOT equivalent to 0.7.
2. Amy had 0.87 liters of grape juice. Flora had 0.92 liters more. How much
more grape juice did Flora have?
Answer:
1.79 of cold drink
Step-by-step explanation:
7 x 5 / 9 x 103 - 99 = ???
Answer:
Step-by-step explanation:
301.56
Please help asap 25 pts, please show work
Answer:
Option A
Step-by-step explanation:
[tex] \sec( \alpha ) = \frac{hypotenuse \: of \: tringle}{side \: adjacent \: to \: \alpha } [/tex]
where [tex] \ alpha [/tex] is an angle of triangle.
In the triangle given above , [tex] \ alpha = angle A [/tex]. So,
[tex] \sec(A) = \frac{10}{8} = 1.25[/tex]
Answer:
a, shoudl eb ur answer
Step-by-step explanation:
Determine how, if possible, the triangles are similar
Answer:
They aren’t
Step-by-step explanation:
Answer:
They're the same shape and size, just angled differently.
What is [tex]12\sqrt1248[/tex]
Step-by-step explanation:
[tex] \sqrt[12]{1248} = 1.811414676[/tex]
Given the following list of data, find the median. 3,18,11,36,23,5,8,15,32,22,16 Give your answer as a number only. For example, if you found the median was 20, you would enter 20.
Answer:
The median is 16.
Step-by-step explanation:
To find the median of a set, first we sort the set in an incresing way. So
3,5,8,11,15,16,18,22,23,32,36
The set has 11 elements, so the median will be element at the position (11+1)/2 = 6, that is, the 6th element of the sorted set.
In this case, the median is 16.
kareem is paid 72 for working 8 hours how much would he have been paid to work only 5 hours
Answer:
If Kareem were to work for 5 hours, she would get paid $45.
Step-by-step explanation:
If she gets paid $72 for working 8 hours, you would need to find how much she gets paid per hour by doing [tex]72/8[/tex].
Which then gives you $9 per hour, so then all you need to do is multiply $9 by the number of hours which in this case is 5 to get the answer of $45.
Please I’ll give thanks
What would need to happen to create a ratio of 3:1?
Answer:
subtract 2
Step-by-step explanation:
Answer:
Divide an odd number by 3
Step-by-step explanation:
If the triangles are similar, solve for x.
PLEASE SHOW WORK
Answer:
They are not similiar again!
Step-by-step explanation:
Not similiar
There are 7 and 2 over 3 pounds of walnuts in a container, which will be divided equally into containers that hold 1 and 1 over 3 pounds.
Answer: 5 3/4
Step-by-step explanation:
Wyatt is enlarging a rectangular drawing using a scale factor of 2.5.
7.4 in
5 in
Simplify the expression using distributive property
-3(2x+6)
Step-by-step explanation:
So lets multiply the parantheses by -3 we get
-3×2x-3×6
Which we can write as
-6x-18
Answer:
[tex]\huge\boxed{\boxed{{\boxed{{-6x-18}}}}}[/tex]
Step-by-step explanation:
Hello.
In order to simplify the expression, we should multiply -3 times 2x and 6:
-3 times 2x = -6x
-3 times 6=-18
-6x-18
And we're done!
I hope it helps & have an outstanding day!
~ST2710 :)
i’m so confused i need to know the transformation but i don’t know what it is help may please
9514 1404 393
Answer:
2. K'(-1, -5)
3. (-3, 5), (3, 10), (-6, 8); translation left 2 and up 7
Step-by-step explanation:
2. The transformation is the one you have shown:
(x, y) ⇒ (x, -y) . . . . reflection over the x-axis
You are given the coordinates for K and asked for K', the reflected point. Use the x- and y-values in the transformation formula:
K(-1, 5) ⇒ K'(-1, -5) . . . . . . the y-coordinate is negated
It's that simple.
__
3. Same deal, different formula.
(x, y) ⇒ (x -2, y +7)
A(-1, -2) ⇒ A'(-1-2, -2+7) = A'(-3, 5)
B(5, 3) ⇒ B'(5 -2, 3 +7) = B'(3, 10)
C(-4, 1) ⇒ C'(-4 -2, 1 +7) = C'(-6, 8)
When constants are added to the coordinates, the transformation is a translation.
The x-values are decreased by 2, so that is a shift left by 2 units.
The y-values are increased by 7, so that is a shift up by 7 units.
The attachment shows the translated triangle (red). The translation vector (-2, 7) is shown as a black arrow. You will notice each triangle vertex is translated that length in that direction.
The mean number of flight hours for Continental Airline pilots is 49 hours per month. Assume that this mean was based on a sample of 100 Continental pilots and that the sample standard deviation was 11.5 hours. Calculate the margin of error for a 95% confidence interval.
Answer:
The margin of error for a 95% confidence interval is of 2.18 hours.
Step-by-step explanation:
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 100 - 1 = 99
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 99 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.984
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
In which s is the standard deviation of the sample(square root of the variance) and n is the size of the sample.
In this question:
[tex]s = 11.5, n = 100[/tex]. So
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
[tex]M = 1.984\frac{11}{\sqrt{100}}[/tex]
[tex]M = 2.18[/tex]
The margin of error for a 95% confidence interval is of 2.18 hours.
What kind of transformation is it when it gets bigger? Like a small star to a bigger star.
The graph shows y as a function of x:
In which segment is the function constant?
О А
O B
О C
O D
Answer:
A
Step-by-step explanation:
A constant line looks like a flat line with a slope of 0.
The segment that shows a constant function is segment A.
Option A is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,A function is constant if the graph is a straight line.
So,
From the given graph, we see that line A is a straight line.
This means,
Segment A shows a constant function.
Thus,
The segment that shows a constant function is segment A.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ7
Please help
How many 3/4 are in 2?
Write a multiplication equation and division equation that can be used to answer the question
Answer:
16
Step-by-step explanation:
1222eat 222x21d3332
When the transmogrifiers are made at the factory, they move along a conveyer belt. Every 8th transmogrifier gets a blue control panel, every 3rd transmogrifier comes in green, and every 4th transmogrifier comes with a genuine Spaceman Spiff autographed photo. If 150 transmogrifiers come off of the conveyer belt, how many will have a blue control panel, be green, and come with a Spaceman Spiff autographed photo?
Answer:
50 green
Step-by-step explanation:
19 blue
38 spaceman
Answer:
Blue - 18, green - 50, with photo - 37Step-by-step explanation:
Total number = 150
Blue = 150/8 = 18 (integer part)Green = 150/3 = 50Spaceman Spiff autograph = 150/4 = 37 (integer part)I used a picture....
A spinner has 4 equal sections of red, blue, green, and yellow. About how many times should you land on blue if you spin the spinner 96 times?
A. 22
B. 24
C. .40
D. -3/7
Answer:
(B) 24
Step-by-step explanation:
so I really need help. you have to set fractions equal to each other and try and find out how many dont have sweaters. out answer isn't supposed to be a fraction, it's supposed to be a whole number, I hope that makes sense. lol, thank you :)
Answer:
114 prefer sweaters and 138 prefer jackets
Step-by-step explanation:
(19/23+19)×252=114 prefer sweaters
(23/19+23)×252=138 refer jackets
Clarissa has a bag of marbles. 9 are blue, 5 dre yellow, 2 dre purple, and 4 are green. What is the probability Clarissa reaches in the bag and pulls out a yellow marble, and then without replacing it, pulls out a marble that is not blue?
Answer:
Step-by-step explanation:
So, first lets the probability of just finding a yellow marble. There are 9+5+2+4 marbles in total, and that is 19 marbles.
5 out of those 20 are yellow, so the probabilty is 5/20 which is 1/4 or 20%
Then, lets do just finding the probability of a color that isn't blue.
Out of 20 marbles, 11 are color not blue, and 9 are.
So that probability is 11/20
Now, I think we need to do 11/20-5/20 so 6/20=3/10
Im so sorry, I might be wrong. I found both probabilities but I dont know if my final step is right.
Evaluate (x-a+3) if the value of x is (a+7).
Answer:
3(x - a)(x - b)(x - c) when a + b + c = 3x .
Step-by-step explanation:
i don't know but this has to be right