Can anyone help explaining step by step?
The height of a soccer ball in the air can be modeled by the equation h = -16t^2 +48f, where h is in feet of a ball that Cody kicks down the field.
How long is the ball in the air? (find the zeros).
What is the ball's max height? (find the vertex)
When will the ball reach its maximum height?
Answer:
3 seconds(0, 0), (3, 0)36 ft, (1.5, 36)Step-by-step explanation:
As the problem statement suggests, the question of time in the air can be answered by finding the zeros of the function. Similarly, the question of the ball's maximum height can be answered by finding the vertex. These findings are related by the fact that the vertex is on the line of symmetry, which passes through the midpoint between the zeros.
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(a)The function can be factored as ...
h = -16t(t -3)
At any zero, one of the factors must be zero. (This is the "zero product rule.") The factors are zero for t=0 and for t=3.
The zeros are (0, 0) and (3, 0).
This tells you the height of the ball is zero initially (at t=0), and 3 seconds later (at t=3).
The ball is in the air for 3 seconds.
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(b)The midpoint between the zeros is their average: (0 +3)/2 = 1.5. At that value of t, the ball will be at its maximum height.
The ball will reach its maximum height at t=1.5 seconds.
Using the above factored form to find the height, we get ...
h = -16(1.5)(1.5 -3) = 16(2.25) = 36 . . . feet
The ball's maximum height is 36 feet.
_____
Additional comment
The x-coordinate of the vertex of quadratic ax²+bx+c is found at the value ...
x = -b/(2a)
Here, that would be ...
t = -48/(2(-16)) = 3/2
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A graphing calculator can answer all of these questions quite rapidly.
Why should you consider the individual's age when designing a training program?
A. Older individuals cannot participate in strength training activities.
B. Some activities may be inappropriate for particularly young or old participants.
C. None apply
D. Younger individuals do not need flexibility training.
Answer:
(B). Some activities may be inappropriate for particularly young or old participants.
Step-by-step explanation:
its the most formal answer hopfully this helps you.
IM STUCK CAN SOMEBODY SOLVE THE EQUATION
Step 1: Figure out how many years 2020 is after 1998
2020 is 22 years after 1998, therefore we should plug in 22 for x.
Step 2: Plug in known values
The only unknown variables in this equation are S and x. We just found out what x is, which leaves S for us to figure out by solving.
S - 1.5(22) = 5.1
Step 3: Solve
Now, all that's left to do is solve for S.
S - 1.5(22) = 5.1
S - 33 = 5.1
S = 38.1
Answer: 38.1 billion dollars
Hope this helps!
Solve the following problem.
360 mL =____cups?
type your answer...
Answer:
1.52 cups
Step-by-step explanation:
360 ml / (236.588 ml/cup ) = 1.52 cups
The length of a rectangular garden is 9 feet longer than its width. If the garden's perimeter is 206 feet, what is the area of the garden in square feet?
Answer:
Area of rectangular garden is 2632 feet²Step-by-step explanation:
Given that length of Rectangular garden is 9 feet more than its width and perimeter of garden is 206 feet.
Let's assume length of Rectangular garden be x + 9 feet and width be x feet respectively. Firstly using the formula of Perimeter of rectangle we'll find the length and width of the garden.
[tex] \\ \\ \dashrightarrow \: \: { \underline { \boxed{ \pink{ \sf {Perimeter _{(rectangle)} = 2(L + W)}}}}} \\ \\ [/tex]
Substituting the required values:
[tex]\\[/tex]
[tex]\dashrightarrow \sf \: \: 2(x + 9 + x) = 206 \\ \\ [/tex]
[tex]\dashrightarrow \sf \: \: 2x + 18 + 2x = 206 \\ \\ [/tex]
[tex]\dashrightarrow \sf \: \: 4x + 18 = 206 \\ \\ [/tex]
[tex]\dashrightarrow \sf \: \: 4x = 206 - 18 \\ \\ [/tex]
[tex]\dashrightarrow \sf \: \: 4x = 188 \\ \\ [/tex]
[tex]\dashrightarrow \sf \: \: x = \dfrac{188}{4 } \\ \\ [/tex]
[tex]\dashrightarrow \sf \: \: x = 47 \\ \\ [/tex]
Hence,
Length of garden = x + 9 = 47 + 9 = 56 feetWidth of garden = x = 47 feet[tex]\\[/tex]
Now,
[tex] \\ \dashrightarrow \: \: { \underline { \boxed{ \pink{ \sf Area _{(rectangle)} = Length \times Width }}}} \\ \\ [/tex]
Substituting the required values:
[tex]\\[/tex]
[tex]\dashrightarrow \sf \: \: Area = 56 \times 47 \\ \\ [/tex]
[tex]\dashrightarrow \sf \: \: Area = 2632~ ft^2 \\ \\ [/tex]
Hence,
Area of rectangular garden is 2632 feet²Answer:
Area of rectangular garden is 2632 feet²
Step-by-step explanation:
Given:-
Length of Rectangular garden is 9 feet more than its width perimeterof garden is 206 feet.To find :-
The area of rectangular gardenSolution:-
Let the length of Rectangular garden be x + 9 feet and width be x feet .
We know that , the formula of Perimeter of rectangle is 2 ( L + B )
putting the known values to find the dimensions ,
2 ( L + B ) = 206 feet
2 ( x + 9 + x ) = 206 feet
4 x + 18 = 206 feet
x = 47 feet
putting the values of x in the equation ,
Length :- 56 feet
width :- 47 feet
Now , area of rectangular garden :- L×B
Area => 56×47 feet²
Area => 2632 feet²
How many TRIANGLES can be constructed with sides measuring 8 cm, 9 cm, and 11
cm ?
Answer:
1 -- Triangle
Step-by-step explanation:
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!
Can someone help me with this
Answer:
1 / 216, or 0.00462...
Step-by-step explanation:
What is answer of D rounded to the nearest tenth
What is the lateral surface area of the triangular prism?
Round to the hundredths place.
Answer:
The answer is
→ [tex]A_L = 60[/tex]
Step-by-step explanation:
a Base side is 4cm
b Base side is 5cm
c Base side is 11cm
h Height is 3cm
I ran into a problem when inputing the c Base side. It won't allow me to go over 8cm, for some reason. But hold on. I found a solution! :)
a Base side is 4cm
b Base side is 5cm
c Base side is 8cm ← (Don't mind this, I'll explain it below.)
h Height is 3cm
With c Base side being 8cm, the result is [tex]A_L = 51[/tex]. This is clearly incorrect and is not supposed to be like that. But hold on! Let me explain what I did to fix the problem. Since 8cm was the maximum amount, I did this to fix the problem:
51 + 3 = 54 (9cm)
51 + 6 = 57 (10cm)
51 + 9 = 60 (11cm)
Hope this is easy for you to understand...
Hope this helped! :^)
⭐Brainliest will be appreciated!⭐
✉️Message me if you have any more questions!✉️
- ✨7272033Alt✨
Submitted on 4/16/2022 at 10:20 PM
(To avoid plagarism, by users whom decide to copy.)
HELP. WORTH 1 POINT
GIVING 10
Answer:
117
Step-by-step explanation:
well, if they are supplementary, and they are on the same line and a line is equal to 180 degrees, then its as easy as 180-63=117
which expression is equivalent to squareroot 36/25
The correct answer would be: 6/5
SOMEBODY PLEASE HELP!! EXPLANATION NEEDED!!!!!! 25 POINTSSS
Answer:
PA = 8 cm
Step-by-step explanation:
First, create a right triangle with legs OA and SA and hypotenuse OS. Use the Pythagorean Theorem to get the length of OS. Since this is a pythagorean triple (3-4-5) triangle, the hypotenuse is 5, meaning that OS is 5 cm long. Because OS and OP are both radii of the circle, they are equal. So, OP = 5 cm. Finally, simply add OA and OP to get PA:
OA + OP = PA
3 + 5 = PA
PA = 8 cm
Jeremiah is starting a t-shirt making business. He needs to spend $1050 to buy the equipment to print on t-shirts. On each t-shirt he sells, he makes a $4 profit. How many t-shirts must Jeremiah sell to break even?
help ASAP
15 POINTS
need help anyone who helps get brainly user!!!!
I'm pretty sure it's either D or B, I'm literally so sorry if it's wrong
can some one help me do this question
just give me e and f
Answer:
I believe the answer should be 90:90:180. I may be wrong.
Josephine can correct her students' test papers in 9 hours, but if her teacher's assistant helps, it would take them 7 hours. How long, in hours and minutes, would it take the assistant to do it alone? (Write your answer in mixed units. Enter a zero in any unneeded blanks.)
Using the together rate, it is found that it would take the assistant 31 hours and 30 minutes to do it alone.
What is the together rate?It is the sum of each separate rate.
In this problem, the rates are given as follows:
Josephine: 1/9.Assistant: 1/x.Together: 1/7.Hence:
[tex]\frac{1}{9} + \frac{1}{x} = \frac{1}{7}[/tex]
[tex]\frac{x + 9}{9x} = \frac{1}{7}[/tex]
[tex]9x = 7x + 63[/tex]
2x = 63
x = 31.5.
It would take the assistant 31 hours and 30 minutes to do it alone.
More can be learned about the together rate at https://brainly.com/question/25159431
The purpose of the deposit slip is to?
Answer:
DEPOSIT SLIPS OFFER PROTECTION TO BOTH THE BANK AND THE CUSTOM
Step-by-step explanation:
Benefits of Deposit Slips
Deposit slips offer protection to both the bank and the customer. Banks use them to help maintain a written ledger of funds deposited throughout the day and to ensure that no deposits are unaccounted for at the end of the business day.
Find the area of right angled triangle at J, if ZJ = 14 and JW = 1.
Answer:
7 sq units
Step-by-step explanation:
Area of right angled triangle
= 1/2 * ZJ * JW
= 1/2 * 14 * 1
= 7 sq units
Keith wants to give 1/2 an apple to each of his 6 friends. How many apples does he need?
Answer:
12 apples is the answer because 1/2 divided by 6 is 12
Step-by-step explanation:
Karen Gaines invested $10,000 in a money market account with an interest rate of 3.25% compounded semiannually. Three years later, Karen withdrew the full amount to put toward the down payment on a new house. How much did Karen withdraw from the account?
The total amount of money that Karen withdrew from her account three years later is $11,015.48.
How much did Karen withdraw?When an amount earns a compound interest seminannually, it means that the amount invested and interest accured increases in value twice a year.
The formula for calculating future value:
FV = P (1 + r)^nm
FV = Future value P = Present value R = interest rate m = number of compoundingN = number of years$10,000 x (1 + 0.0325/2)^6 = $11,015.48
To learn more about future value, please check: https://brainly.com/question/18760477
I need help with this anybody please ?
60
The answer is given in the above picture.
Hope u like it............
Kai randomly surveys eighth graders at his school and learns that 7 of 35 respondents own a video gaming system. Based on these data, how many of the 150 eighth-grade students in Kai's school would be expected to own a video gaming system? A 15 students B 25 students C 30 students D 50 students
The correct answer for this question is 30 students
Sure hope this helps you :)
How many feet are represented by a 4 inch line if it is drawn to a scale of 1/2 inch equals 1 foot
Answer:
8 feet are represented by a 4-inch line.
Step-by-step explanation:
Scale:
1/2 (0.5) in. = 1ft
1/2x = 1
x = 2
4x in. = ? ft
4(2) in = ? ft
4 x 2 = 8
8 feet are represented by a 4-inch line.
hope this helps!! p.s. i really need brainliest :)
What is the equation for the graph shown?
Answer:
Step-by-step explanation:
Which of the following is a polynomial function in standard form with zeros at 0, 2, and 4? f(x) = x(x + 2)(x + 4) f(x) = x(x – 2)(x – 4) f(x) = x3 – 6x2 + 8x f(x) = x3 + 6x2 + 8x
Answer:
f(x) = x^3 - 6x^2+8x
Step-by-step explanation:
Remember while you are studying polynomial functions that zeros are just the solutions (and are the x-intercepts on the graph).
The question said the zeros were 0, 2 and 4, so if you were solving the equation you would get:
x=0 and x=2 and x=4
Just "undo" that last step of solving and you get:
x = 0 and
x - 4 = 0 and
x - 2 = 0
These are the factors of the function and they do look just like the second option of answers on your question. But that is in factored form and they asked you for standard form.
so f(x)=x(x-2)(x-4) is almost there, but you need to multiply all the factors back together.
(x - 2)(x - 4)
use FOIL or distributive property or area model(box) method to multiply and get
x^2 - 6x + 8
Then multiply in the x using distributive property.
f(x) = x(x^2-6x+8)
f(x) = x^3 - 6x^2 + 8x
That's the final answer (the third choice of answers on your post.) I think of this as a "working backwards" problem because you start with solutions (zeros means solutions!) and work backwards to find factors, then the function.
I keep coming up with different answers please help me?
Answer:
the answer is 1600
PLEASE HELP
A bank is offering 2.5% simple intrest on a savings account if 5,000 is deposited what is the balance in a year?
Answer:
The principal amount is 5000 dollars = 3, 70,000 rupees (5000 dollars x 74 Rupees)
Rate = 2.5%
Time = 1 year
Now, on putting the values given in the formula
S.I.= 9,250 Rupees
Now we convert it into dollars by diving 9,250 rupees by 74 rupees.
We get,
9250/74 = 125 dollars
Step-by-step explanation:
Stephan cuts a 50-yard ribbon. One piece is 7 yards longer than the other. What is the length of each piece?
Answer:
It should be 32 and 18 but I'm bro entirely sure
Identify the GCF of 6x^2y^2 − 8xy^2 + 10xy
Answer:
The GCF for the numerical part is 2
Step-by-step explanation:
6x^2y^2-8xy^2+10xy
It contains both numbers and variables, there are two steps to find the GCF(HCF).
1). Find the GCF for the numerical part 6, -8,10
2). Find the GCF for the variable part x^2,y^2,x^1,y^2,x^1,y^3
3).Multiply the values together.
Find the common factors for the numerical part:
6,-8,10
Factors of 6
6: 1,2,3,6
Factors of -8
-8: -8,-4,-2,-1,1,2,4,8
Factors of 10
10:1,2,5,10
Common factors of 6,-8, 10 are 1,2
The GCF Numerical=2
The GCF Variable= xy^2
Multiply the GCF of the numerical part 2 and the GCF of the variable part xy^2, and you'll get 2xy^2
i’ve been trying to find the mean I think it’s 1
Answer: 3.8 vitamins
Step-by-step explanation:
First, we will find all the data values by looking at the graph.
1, 1, 3, 5, 9
Next, we will solve for the mean. This is where we add all the data values together, and divide by the number of values.
[tex]\displaystyle \frac{1+1+3+5+9}{5}[/tex]
[tex]\displaystyle \frac{19}{5}[/tex]
3.8
The mean is 3.8.
Answer:
3.8 vitamins
Step-by-step explanation:
Step 1: Determine the mean of the data
The mean of the data is also known as the average of the data. We get this by adding up all of the values and dividing it by the amount of values that we have.
In this example, we have two points on the 1 marker, one point on the 3 marker, one point on the 5 marker, and one point on the 9 marker.
We add up all of the values, 1 + 1 + 3 + 5 + 9 and we get 19. We then divide the number of values that we have which is 5. So we do 19/5 and we get 3.8 vitamins is the mean.
Answer: 3.8 vitamins