A soccer ball is kicked from the ground with an initial upward velocity of 90 feet per second. The equation h=-16t^2+90t gives the height h of the ball after t seconds.
a. Find the maximum height of the ball.
b. How many seconds will it take for the ball to reach the ground?
The ball reaches a height of 126.58 ft after 2.8125 seconds
Step-by-step explanation:
The maximum height of a parabola can always be found by looking for the vertex. You can find the x value (or in this case the t value) of a vertex by using -b/2a in which a is the coefficient of x^2 and b is the coefficient of x.
-b/2a
-(90)/2(-16)
-90/-32
2.8125 seconds
Now to find the height, we input that value in for t
h = -16t^2 + 90t
h = -16(2.8125)^2 + 90(2.8125)
126.58 feet
Write the equation for a line that passes through (4,-1) and has a slope of 5
Answer:
y = 5x - 21
Step-by-step explanation:
Since we already know the slope, all we need to do is plug the values of x and y into the equation.
y = 5x + b
-1 = 5(4) + b
-1 = 20 + b
-21 = b
The equation is y = 5x - 21.
For which equation does n= 7?
2n = 3
n+ 4 = 7
4n = 4
n-4=7
Answer:
does 1+1 still =2
Step-by-step explanation:
i hope so
please help me with this question thank you
Answer:
Shindeu NANI?!?
Step-by-step explanation:
Answer: X=0
Step-by-step explanation:
PLS HELP
and explain if you can :3
Answer:
12, 6, 4, 3, 12/7
Step-by-step explanation:
so for each column, you would substitute the number for a in the equation. for example, substituting 2 for a will make the equation 2/2 + b = 12. we now need to isolate b. 2/2(2/2 + b) = 12(2/2) makes the new equation b = 24/2, or b = 12.
Answer:
11,10,9,8,5
Step-by-step explanation:
look at the table.
they are giving you what a equals.
for example: in the table, it says a is 2. SO you put that into the equation you are given.
[tex]\frac{a}{2}[/tex] + b = 12 substitute "a" which we know is 2 into the equation
[tex]\frac{2}{2}[/tex] + b = 12 NOW you solve for b
first, divide 2 by 2 which equals 1
THEN subtract 1 by 12 giving you 11. The equation should look like this
b = 11
11 can then go under 2 on the table.
Do this for the rest of the answers.
Which is the value of this expression when j = 2 and k = 1?
Answer:5
Step-by-step explanation:
Just cuz
Answer: -64 or A
Step--by-step explanation:
What percent of 91 is 79
86.81
-----------------
baii ^^
Answer:
79/91 = x%
0.8681318681 %
79 is about 86.81% of 91
Step-by-step explanation:
200 students in a high school senior class are surveyed about what majors they intend to declare in college. Of the 200 students, 80 plan to major in mathematics, 100 plan to major in computer science, and 30 plan to pursue a double major in mathematics and computer science. Using this information, answer each of the following questions.
Let MMM be the event that a randomly selected student plans to major in mathematics and CCC be the event that a randomly selected student plans to major in computer science.
Khan academy adding probabilities
Answer:
Why is the number so big
Step-by-step explanation:
Answer:
2/5
1/2
3/20
3/4
Step-by-step explanation:
got it from Khan academy :)
Marissa had a $25 gift card for Roosters on Oxford. Each morning she purchases her $3 vanilla latte. Write an equation in slope- intercept form where y represents the amount of money on the card, after x visits.
Answer:
Y=3/1x+25
Step-by-step explanation: I believe this is correct. I was doing this a while ago so I might have it wrong. Y Is the money on the card, m, or 3/1 is the slope. B is the Y-intercept, which is 25.
Describe how ∠PTQ and ∠QTS in the figure are related.
Answer:
their unrelated
Step-by-step explanation:
might look similar but very different from each other
Help pls thank you!!!!!!!!!!!!!!
Answer:
that would be b
Step-by-step explanation:
i am not positive but i am pretty sure it is b
A. Zara is learning about surface area and volume in math class. She begins to notice that she can apply this geometry in everyday life. When her
mom makes a jelly sandwich for her lunch, Zara notices it is similar to a rectangular prism and decides to measure its dimensions. She measures
the length as 13 cm, the width as 10.8 cm, and the height as 3 cm, as shown below.
Answer:
Volume fomlua is LxWxH, just multiply the numbers with a calculator:)
Given: the function f defined by f(x) = 3x2 . Which statement is true? 1) f(0) = 0 2) f(−2) = f(2) 3) f(5) + f(2) = f(7) 4) f(5) − f(2) = f(10)
Answer:
f(0) = 0 and f(−2) = f(2)
Step-by-step explanation:
Given: the function f defined by f(x) = 3x²
f(0) = 3(0)²
f(0) = 0
f(-2) = 3(-2)²
f(-2) = 3(4)
f(-2) = 12
f(2) = 3(2)²
f(2) = 3(4)
f(2) = 12
Hence f(-2) = f(2)
Therefore the correct options are f(0) = 0 and f(−2) = f(2)
PLZ HELP an apple juice container has a tiny hole in it so it is slowly leaking is the container leaks three ounces every 19 minutes how long will it take for 16 ounces of juice in the container to leak out?
Answer:
the answer is on line and it have the correct work
A function of x containing three ordered pairs of the form (x, y) is shown below. {(1, 3), (2, 7), (3, -9)}
What is the range of the function?
Answer:
-9,3
Step-by-step explanation:
The range of the function is {3, 7, -9}.
What is a function?A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.
Given:
A function of x containing three ordered pairs of the form (x, y) is shown below. {(1, 3), (2, 7), (3, -9)}.
The range of the function is,
= the number of value in the y-coordinate.
= {3, 7, -9}
Therefore, {3, 7, -9} is the range.
To learn more about the function;
brainly.com/question/28303908
#SPJ2
Which equation does not represent a linear function
Answer:
D should be the one that DOES NOT represent a linear function
match the following trig ratios with the correct equation for the triangle shown below (picture attached)
Answer:
a
Step-by-step explanation:
Find the area I will mark the BRAINIEST
Answer:
Step-by-step explanation:
First correct answer gets brainliest! All guesses will be reported. Tysm!!
Answer:
90 in
Step-by-step explanation:
360/60 = 6
15*6 = 90
Triangle a need to be rotated in a 90 degrees counterclockwise
Pick the correct triangle for 90 degree counterclockwise
1.B
2. C
3. D
Answer:The answer is D
Step-by-step explanation:
please help algebra test tomorrow
Help me is right now its very urgent
Help I NEED ANSWER IN 5 MINS PLSSSS
Answer:
Step-by-step explanation:
Slope (m) =
ΔY
ΔX
=
9
7
= 1.2857142857143
θ =
arctan( ΔY )
ΔX
= 52.125016348902°
ΔX = 49 – 21 = 28
ΔY = 63 – 27 = 36
Distance (d) = √ΔX2 + ΔY2 = √2080 = 45.607017003966
Equation of the line:
y = 1.2857142857143x – 3.5527136788005E-15
When x=0, y = -3.5527136788005E-15
When y=0, x = 2.7632217501782E-15
If 1 Point and the Slope are Known:0.75
please answer the one that says PART B:) thanks (i’ll give brainliest)
Answer:
She is not correct
Step-by-step explanation:
When you add them together and divide by 1 7/8 (1.875), It does not come out evenly.
Find the volume of the cylinder. Round your answer to the nearest tenth.
6 m
4 m
And I will report and get your account deleted if you answer with a link
Answer:
It should be 75.4
Step-by-step explanation:
The formula for a cylinders volume is V=[tex]\pi[/tex]r^2h
so plugging those in would be
V=[tex]\pi[/tex](2)^2(6)= 75.4
Hope this helps!
Se ha construido un cuadrado sobre cada lado del triángulo rectángulo, Pitágoras dice que el cuadrado de área 25 cm2, es igual a sumar las áreas de los otros dos cuadrados, es decir, 16 cm2 y 9 cm2. Escribir la expresión algebraica que mejor represente la relación entre las áreas en la figura.
Answer:
Tenemos la siguiente expresión algebraica:
[tex]c^{2} = a^{2}+b^{2}[/tex] (1)
Donde:
[tex]c[/tex] - Hipotenusa, en centímetros.
[tex]a, b[/tex] - Catetos, en centímetros.
Step-by-step explanation:
Este ejercicio ofrece un recurso mnemotécnico para la comprensión y aplicación del Teorema de Pitágoras, el cual establece que el cuadrado de la hipotenusa es igual a la suma de los catetos elevados al cuadrado, siendo cada componente equivalente al área de un cuadrado hipotético, entonces, la expresión algebraica que representa esa relación entre las áreas es:
[tex]25\,cm^{2} = 16\,cm^{2} + 9\,cm^{2}[/tex]
[tex](5\,cm)^{2} = (4\,cm)^{2}+(3\,cm)^{2}[/tex]
Por analogía, tenemos la siguiente expresión algebraica:
[tex]c^{2} = a^{2}+b^{2}[/tex] (1)
Donde:
[tex]c[/tex] - Hipotenusa, en centímetros.
[tex]a, b[/tex] - Catetos, en centímetros.
What is 10z when z = 0.8
Plssss help mee
Answer:
Value of 10z = 8
Step-by-step explanation:
Given:
Equation of variable;
10z
and value of z = 0.8
Find:
Value of 10z
Computation:
We know that in given equation 10z
10 is constant(fixed value) and z is variable(changeable value)
where value of variable z is given 0.8
So,
By putting value of variable z in given equation
⇒ 10z
⇒ 10(0.8)
by multiplying variable and constant
Value of 10z = 8
Help me with this problem please
Answer:
I'm not 100% sure, but I think the answer is 10 units squared.
Step-by-step explanation:
Find the area of each triangle, by multiplying each side, and dividing the answer in half. Add both of the triangles together, ending up as 6. Now we just find the area of the square. 2x2=4, add that to both of the triangles, and we're done. (2x2) ÷ 2 = 2 | (2x4) ÷ 2 = 4 | 2x2 = 4 | 4+4+2=10
Answer:
area=10 units^2
Step-by-step explanation:
[tex]a=\frac{(2+2+4)+(2)}{2} *2\\ =\frac{8+2}{2} *2\\ =\frac{10}{2} *2\\ =5*2\\ =10[/tex]
a=10 units^2
CAN SOMEONE HELP ME WITH THIS QUESTION PLEASE?!!!
Answer:
Cone or Cylinder, Sphere
Step-by-step explanation:
Answer: The surface area of a cone can be found by drawing a net and adding the area of all their respective two - diamasional surface. Use the formula 4πr2 to find the surface area of a Sphere where r is the radius of the figure.
Step-by-step explanation:
A 20 foot ladder is leaning up against the side of a house the distance between the house and the base of the ladder is 4 feet find the angle that the ladder makes with the ground
Answer:
78.5°
Step-by-step explanation:
We solve for the above question, using the formula for the Trigonometric function of Cosine
cos θ = Adjacent/Hypotenuse
Adjacent = The distance between the house and the base of the ladder = 4 feet
Hypotenuse = Length of the Ladder = 20 feet
Hence,
cos θ = 4/20
θ = arc cos(4/20)
θ = 78.463040967°
Approximately = 78.5°
Therefore, the angle that the ladder makes with the ground is 78.5°