Answer:
The ball height is 11 meters at t = 0.59 seconds and t = 3.41 seconds.
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]
[tex]\Delta = b^{2} - 4ac[/tex]
The height of the ball after t seconds is given by:
[tex]h(t) = 1 + 20t - 5t^2[/tex]
Find all values of t for which the ball's height is 11 meters.
This is t for which [tex]h(t) = 11[/tex]. So
[tex]h(t) = 1 + 20t - 5t^2[/tex]
[tex]11 = 1 + 20t - 5t^2[/tex]
[tex]5t^2 - 20t + 10 = 0[/tex]
Simplifying by 5
[tex]t^2 - 4t + 2 = 0[/tex]
Which means that [tex]a = 1, b = -4, c = 2[/tex]
[tex]\Delta = (-4)^2 - 4(1)(2) = 8[/tex]
[tex]t_{1} = \frac{-(-4) + \sqrt{8}}{2} = 3.41[/tex]
[tex]t_{2} = \frac{-(-4) - \sqrt{8}}{2} = 0.59[/tex]
The ball height is 11 meters at t = 0.59 seconds and t = 3.41 seconds.
what is the slope of equation y=1/3x
Answer:
1/3
Step-by-step explanation:
Hey There!
The slope of y=1/3x is 1/3
The number right in front of the x is the slope
Hope this helps :)
Find the missing side. Answer without units
Pls help
Answer:
3
Step-by-step explanation:
Hope This Helps :)
Plz Mark Brainliest !
I don’t know what to do calculate the surface area for the figure
Answer:
it is 40!
Step-by-step explanation:
well since area is l x w 13+10=23
and 12+5= 17
How many solutions does 5x+24=5(x+5)
Answer:
There are no solutions.
Which graph represents the solution to (x – 3)2 + (y + 4)2 > 36?
Answer:
second choice
Step-by-step explanation:
edge
The region outside the circle is under the consideration. Then the correct option is B.
What is an equation of a circle?A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at the (h,k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x – h)² + (y – k)² = r²
The inequality equation of the graph is given below.
(x – 3)² + (y + 4)² > 36
(x – 3)² + (y + 4)² > 6²
From the equation, the radius of the circle will be 6 units and the center of the circle will be (3, –4).
The region outside the circle is under the consideration.
Then the correct option is B.
The graph is given below.
Learn more about the equation of a circle here:
https://brainly.com/question/10165274
#SPJ5
What is the slope of the line passing through the points (-3, 4) and (2, -1)?
Answer:
- 1
Step-by-step explanation:
Mathematically, slope = (y2 - y1)/(x2 - x1)
Here,
(x1, y1) = (-3, 4) ; (x2, y2) = (2, - 1) or vice versa
Slope = (-1 - 4)/(2 - (-3))
= -5/5
= - 1
a D.J. at a school dance plans to play dance music for 2 hours. she has 20 requests for songs. Each song plays for 3 1/2 minutes. if she plays all of the requests. How much time will she have to play other songs?
So, put 2 hours into minutes. You get 120. Now, seeing how you have 20 song requests, and each one takes 3.5 minutes, multiply those two values. Now you have 70. After doing that, just subtract 70 from 120 and get 50.
tada
answer is 50
how many solutions does y equals -6x - 7 have
Answer:
Infinitely many solutions.
Step-by-step explanation:
x can be any number, and the y will change with x.
Solve for x
-2a+7-3(-9-4a)
Answer: a=-3.4
Step-by-step explanation: you mean solve for a:)
-2a+7-3(-9-4a)=0 We would have to equal this equation to 0
-2a+7+27+12a=0 We multiply the -3 with the parentheses
10a+34=0 Add the like terms, and subtract 34 from both sides
10a=-34 Then divide both sides by 10
a=-3.4
Please help I need it! Will give brainliest
Answer:
74880
or if your doing addition
44
Step-by-step explanation:
6*12*4*4*5*13
6+12+4+4+5+13
Answer:
the area is 44
Step-by-step explanation:
the reason for it is because 13+5+4+4+12+6=44
What is this question ?
i need your help with math please help
Answer: 1) y= 9, 4, 1, 0, 1, 4, 9
Step-by-step explanation:
A regular hexagon is shown below. Find the value of x.
(11x + 21)°
Answer:
x=9
Step-by-step explanation:
The expression is for the interior angle of the hexagon; one interior angle is equal to .
Since an interior angle of a hexagon measures 120°, we have the equality
.
Now it is just a matter of solving for
11x=120-21
11x=99
x=99/11
x=9
The value of {x} for the hexagon shown is 9.
What is Hexagon?A hexagon is a polygon with 6 equal sides. The perimeter of a hexagon is the sum of all the six lengths. The measure of the interior angle of a hexagon is 120 degrees.
Given is to find the value of {x} in the Hexagon shown below.
The measure of the internal angle of a hexagon is 120 degrees. So, we can write -
(11x + 21) = 120
11x = 120 - 21
11x = 99
x = 9
Therefore, the value of {x} for the hexagon shown is 9.
To solve more questions on HEXAGONS, visit the link below-
https://brainly.com/question/14372779
#SPJ3
Which value is nearest to 8? Show thinking in the space provided.
7.511 155/20 8.3%
Answer:
155/20
Step-by-step explanation:
155/20 in decimal form is 7.75, which is only 0.25 off of 8
7.511 is 0.489 off of 8
8.3% is technically not anywhere near 8 because a percentage needs to be a percentage of something in order to make sense.
I’ll mark you!!! (I got 5 but I just wanna check my answer to see if we got the same answer)
Answer:
I think its B but I'm not 100% sure
Answer:
Its 20 buckets.
Step-by-step explanation:
MY TEACHER IS BEING ANNOYING HELP ME PLS
Answer:
8
Step-by-step explanation:
I got 8 in a short version. The full answer is not complete. It is 8.18812697...
But if you shorten it, 8 is the best estimation.
Pls solve this angle question.
f(2)=−14 and g(2)=13 Find (f+g)(2).
Answer: The value of (f+g)(2) = -1
Step-by-step explanation:
Given: f(2)=-14 and g(2)=13
To find: (f+g)(2)
Addition of two functions:
(f+g)(x) = f(x)+g(x)
Then, (f+g)(2) = f(2)+g(2)
(f+g)(2) = -14+13 [given]
(f+g)(2) = -1
Therefore , the value of (f+g)(2) = -1
If you rolled a 6-sided number cube 72 times, how many times would you expect to roll a 5 or a 6?
A 24
B 30
C 36
D 56
Answer:
A: 24
Step-by-step explanation:
Multiply 72 by 2/6 to find the amount of times you would expect die would roll 2 sides of the die, 24.
Please help me with this! I need this ASAP! Please help!
Answer:
The 2nd and 3rd boxes are right, that is :-
* 2b is a term
and
* 9 is a constant
HELP PLEASE
68 POINTS!
BRAINLIEST
You can zoom in on the photo for it to be clearer!!
PLEASE SOLVE AND EXPLAIN !!!
Answer:
3.46
Step-by-step explanation:
What Is the dependent variable the shoe size or the height
Answer:
The dependent variable is the shoe size
Step-by-step explanation:
ASAP HW HELP
if you don’t know answer don’t even comment
Answer: [tex]y = \frac{1}{2}x+3[/tex]
This is the same as writing y = (1/2)x + 3
========================================================
Explanation:
Two points on the blue line are (0,3) and (2,4)
To go from the left point to the right, we go up 1 and over to the right 2.
Slope = rise/run = 1/2
Or we can use the slope formula to get the same value
m = (y2-y1)/(x2-x1)
m = (4-3)/(2-0)
m = 1/2
The y intercept is b = 3 because this is the location on the vertical y axis where the blue line crosses. This is the location (0,3).
With m = 1/2 and b = 3, we go from y = mx+b to y = (1/2)x + 3
On a piece of paper, that would look like the equation [tex]y = \frac{1}{2}x + 3[/tex]
A quadrilateral has two angles that measure 170° and 75°. The other two angles are in a ratio of 3:20. What are the measures of those two angles?
Answer:
15° & 100°
Step-by-step explanation:
360-170-75=115
115÷23=5
3x5=15
20x5=100
Paul built a triangular garden in his backyard, which is enclosed by a rectangular fence.
How much of the backyard is not covered by the garden?
452 m2
476 m2
524 m2
548 m2
whats the answer plz
Answer:
[tex]Area = 476m^2[/tex]
Step-by-step explanation:
Given
See attachment
Required
The uncovered area
First, calculate the area of the rectangle
[tex]Area = Length * Width[/tex]
From the attachment
[tex]Length = 25m[/tex] and [tex]Width = 20m[/tex]
So:
[tex]Area = 25m * 20m[/tex]
[tex]Area = 500m^2[/tex]
The area of the triangle is:
[tex]Area = \frac{1}{2} * Base * Height[/tex]
From the attachment
[tex]Base = 8m[/tex]
[tex]Height = 6m[/tex]
So:
[tex]Area = \frac{1}{2} * 8m * 6m[/tex]
[tex]Area = \frac{1}{2} * 48m^2[/tex]
[tex]Area = 24m^2[/tex]
The uncovered area is:
[tex]Area = 500m^2 - 24m^2[/tex]
[tex]Area = 476m^2[/tex]
Pls help .............................
Look at the picture please!!!!
Answer for 1:
8x + 10
Answer for 2:
2x + 1
Answer for 3:
-3x - 15
Answer for 4:
2x + 10
Answer for 5:
-3x - 5
Answer for 6:
-17x - 3
Answer for 7:
8x - 18
Answer for 8:
-x + 4
Answer for 9:
4.8x + 5.6
Answer for 10:
1.25x + 1
Answer for 11:
The Dolphins won 7x + 10 more points than the Jaguars
Answer for 12:
The sandwich costs x + 1.01 more than the drink
Answer for 13:
Tuition costs 7x + 25 more than fees
Tuition costs 7x + 72 more than rooms and board
Answer:
1. 9x squared + 34x +21
2. 2x + 1
3. -3x + 15
4. 2x + 10
5. 14x + 3
6. -17x - 3
7. 8x- 18
8. -x + 4
9. -4.8x + 5.6
10. -1.25x + 0.2
11. 7x-4
12. x + 1.01
13. 6x + 22
I think these are the correct answers. Sorry if I'm wrong. I hope this helped!
Step-by-step explanation:
Bill has 40 apples. Laurie has 8 times as
many apples.
If Laurie had 8 times as many apples as Bill's 40 apples, the equation would be 40 x 8. 40 x 8 = 320 :)
Answer:
320man zaans
Step-by-step explanation:
For the function f(x) = -3sin(x) + 2, the distance between the maximum and minimum values is 6. Which statement must be true about this function? HINT: It's not B.
A. The amplitude is 3.
B. The midline is y = 3.
C. The period of the function is 3pi.
D. The range is [-3, 3].
Answer: A. The amplitude is 3.
Step-by-step explanation:
Given function : [tex]f(x) = -3sin(x) + 2[/tex]
Period of a sine function is [tex]2\pi.[/tex]
Since [tex]-1\leq \sin x \leq 1[/tex]
[tex]\Rightarrow\ -3\leq -3\sin x\leq 3\\\\\Rightarrow\ -3+2\leq -3\sin x+2\leq 3+2\\\\\Rightarrow\ -1\leq -3\sin x+2\leq 5[/tex]
i.e. Range is [-1,5]
Amplitude = 3 [coefficient of sin x]
Only option A. is correct.