The time interval x >0.5 and x > 2.04 will the tennis ball be at least 15 feet above the ground.
Given that,
The height of a tennis ball tossed into the air is modeled by,
[tex]\rm h(x) = 40x - 16x^2[/tex]
Where x is elapsed time in seconds.
We have to determine,
During what time interval will the tennis ball be at least 15 feet above the ground?
According to the question,
The height of a tennis ball tossed into the air is modeled by,
[tex]\rm h(x) = 40x - 16x^2[/tex]
Where x is elapsed time in seconds.
Then,
When the tennis ball be at least 15 feet above the ground,
[tex]h(x) = 15[/tex]
Substitute the value of h(x) in the equation,
[tex]\rm h(x) = 40x - 16x^2\\\\ 15 = 40x - 16x^2\\\\ 16x^2-40x+15=0[/tex]
Factorize the equation for finding the time interval will the tennis ball be at least 15 feet above the ground is,
[tex]\rm 16x^2-40x+15= 0\\\\x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\x = \dfrac{-(-40)\pm \sqrt{(-40)^2-4 \times 16 \times 15}}{2 \times 16}\\\\x = \dfrac{-(-40)\pm \sqrt{1600- 960}}{32}\\\\x = \dfrac{40\pm \sqrt{640}}{32}\\\\x = \dfrac{40 + 25.29}{32} \\\\x = \dfrac{40 + 25.29}{32} \ and \ x = \dfrac{40 - 25.29}{32}\\\\x = \dfrac{65.29}{32} \ and \ x = \dfrac{14.71}{32}\\\\x = 2.04 \ and \ x = 0.45[/tex]
Hence, The time interval x >0.5 and x > 2.04 will the tennis ball be at least 15 feet above the ground.
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Determine whether the data in the table can be modeled by a linear equation. Explain.
If possible, write a linear equation that represents y as a function of x
Answer:
yes, because they're varying in a constante rate
y = -1/2x +3.5
Please help me asap
tyyyyyyy :D
Answer:
7x + 2y = -6
Step-by-step explanation:
Multiply the equation with 2
2 ( y = -7x/2 - 3 )
2y = -7x - 6
7x + 2y = -6
what is the value of 3.5(11+1.9(11)+1.6(11)?
Answer:
The answer is 77
PLEASEEE HELPPP I NEEDD HELPP WITH THISSS!
Answer: The answer is 27.04 square inches.
Explanation: The area of a square can be calculated by multiplying the length of a side by the length of a side.
Answer:
27.04 in^2
Step-by-step explanation:
hope this helps! :)
There are 70 students in the school band. 40% of them are sixth graders, 20% are seventh graders, and the rest are eighth graders.
1. How many band members are sixth graders?
band members
2. How many band members are seventh graders?
band members
3. What percentage of the band members are eighth graders?
Answer:
1=28 students 2=14students 3=40%
Step-by-step explanation:
1. 70 students = 100%
7 students = 10%
28 students = 40%
28 students are sixth graders!
2.70 students = 100%
7 students = 10%
14 students = 20%
14 students are seventh graders!
3.Percentage of band that is eighth graders: 40+20=60% 100%-60%=40%
40% are eighth graders!
Which equation is equivalent to
A=1/2bh?
A) H=2A/b
B) H= A/2b
C) H= A - 1/2b
D) H= 2A-b
Answer:
a
Step-by-step explanation:
30% of the parks have a pool. If there are 9 parks with pools, how many parks are there altogether?
Answer:
30 parks
Step-by-step explanation:
9÷0.3=30 parks
Write a two-column proof.
I WILL GIVE BRAINLIEST TO BEST ANSWER! PLS HELP!
refer to images for question
MUST WRITE FULL PROOF
Proof:-
In ∆XYZ and ∆VWZ
[tex]\because\sf\begin{cases}\sf XZ\cong VZ(Given)\\ \sf YZ\cong WZ(Given)\\ \sf <XZY\cong <WZV(Opposite angles)\end{cases}[/tex]
Hence
∆XYZ[tex]\cong[/tex]∆VWZ(Side-Angle-Side)
pls help me answer this 12 to 15 questions
Answer:
Step-by-step explanation:
See attachment
12. -23C
13. 28.9% Loss
14. Diagram in the attachment. The sides can be calculated with the Pythagorean Theorem. Side = 3.61 cm
15. Use trig relationships. x = 5, y = 8.66
Solve for y.
y + 3 = 8y + 3
y =
[tex]y + 3 = 8y + 3[/tex]
Subtract both sides 3
[tex]y + 3 - 3 = 8y + 3 - 3[/tex]
[tex]y + 0= 8y + 0[/tex]
[tex]y = 8y[/tex]
Subtract both sides y
[tex]y - y = 8y - y[/tex]
[tex]0 = 7y[/tex]
Divide both sides by 7
[tex] \frac{0}{7} = \frac{7y}{7} \\ [/tex]
[tex]y = 0[/tex]
There you go....
Ah
Have a great day ♡
Use the function below to find f(-2)
F(x)=3x
Answer:
B
Step-by-step explanation:
Using the rule of exponents
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]
Then
f(- 2) = [tex]3^{-2}[/tex] = [tex]\frac{1}{3^2}[/tex] = [tex]\frac{1}{9}[/tex] → B
Which lines of A, B, and C are perpendicular?
Answer:
a is perpendicular to both b and c; the product of the slopes a and b or a and c is -1
Step-by-step explanation:
perpendicular slopes multiplied by each other would be -1
-1/3 * 3 for a and both other lines is -1
that means a is perpendicular to both b and c
Divide £520 in the ratio 6:7
The ratio of the number 520 in 6: 7 will be 240: 280.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Given that the number 520 is divided into the ratio 6: 7.
The number in the ratio 6:7 will be divided as;-Let the constant term for the ratio is x now form an equation and solve.
6x + 7x = 540
13x = 540
x = 540 / 13
x = 40
6x = 40 x 6 = 240
7x = 7 x 40 = 280
Therefore, the ratio of the number 520 in 6: 7 will be 240: 280.
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45. You decide to market your own custom computer software. You must invest $3,255 for
computer hardware, and spend $2.90 to buy and package each disk. If each program sells
for $13.75, write a system of equations and determine how many disks you must sell to
break even.
i need answer for knoledge
Answer:
I couldn't understand what you actually mean. But, I -think you are trying to ask what is the meaning of Knowledge.
HERE - (definition of knowledge)
facts, information, and skills acquired by a person through experience or education; the theoretical or practical understanding of a subject.
Which bottle of water costs more per ounce: a 12
ounce bottle for $1.25 or a 16 ounce bottle for
$1.50?
I really need help with this!
Answer:
the second bottle
Step-by-step explanation:
To get the amount it costs per ounce, divide the amount of money by the number of ounces.
A water bottle that costs $1.25 for 12 ounces costs roughly 10 cents per ounce. A water bottle that costs about 9 cents per ounce.
therefore, the 16 ounce bottle is cheaper per ounce
9. Which of the following is an example of the Commutative Property of Addition? (1 point)
O 12 + 4 = 4 + 12
O 12 + (3 + 2) = (12 + 3) + 2
O 2 + 7 + 0 = 2 +7
O 17+ (-17) = 0
V
10. If p = 8, evaluate 42+p:3. (1 point)
02.
03
06
08
Finish
Cancel
Answer:
9. the first one ( 12 + 4 = 4 + 12 )
Step-by-step explanation:
the commutative property of addition means that you can change the order of the numbers you add and the sum will still be the same. this is shown in the 12 + 4 = 4 + 12 because the order is switched, but they are still equal.
The example of the commutative property of addition is 12 + 4 = 4 + 12, the correct option is A.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
The four options
Now,
The commutative property of addition states that changing the order of the addends does not change the sum.
This is the only option that shows the same sum with different orders of addends.
Therefore, by algebra the answer will be 12 + 4 = 4 + 12.
More about the Algebra link is given below.
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A 4-oz. filet of salmon contains 500 mg of potassium. The daily recommended amount of potassium is 3,500 mg. If you ate a 6-oz. filet of salmon, what percent of your daily value did you eat of potassium?
A. 21%
B. 15%
C. 25%
D. 12%
Simplify 3x + 5y + 2x – 4y
Answer:
5x + yStep-by-step explanation:
3x + 5y + 2x – 4y=> 5x + yConclusion:
Therefore:
5x + yHoped this helped.
[tex]GeniusUser[/tex]
The simplified form of the given expression is 7x+y.
The given expression is 3x+5y+2x-4y.
An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Group the like terms and simplify, we get
(3x+2x)+(5y-4y)
= 7x+y
Therefore, the simplified form of the given expression is 7x+y.
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What is the solution for the system of equations?
y = -x +4
y = x- 2
• (3, 1)
• (1, - 2)
• (-2, 1)
• (1, 3)
Answer:
1, 3
Step-by-step explanation:
// Solve equation [2] for the variable y
[2] y = x - 2
// Plug this in for variable y in equation [1]
[1] (x -2) + x = 4
[1] 2x = 6
// Solve equation [1] for the variable x
[1] 2x = 6
[1] x = 3
// By now we know this much :
y = x-2
x = 3
// Use the x value to solve for y
y = (3)-2 = 1
If total employee benefits are calculated as a percentage of their gross pay whitch of the following employees receive the largest percentage of their gross pay in employee benefits
The employee that receives the largest percentage of their gross pay in employee benefits is Marcel.
The percentage of employee benefits to total gross pay for each worker has to be determined.
Percentage = (total job benefits / gross pay) x 100
Emily: (33,600 / 32,600) x 100 = 103.07%
Jack: (34,700 / 33,700) x 100 = 102.97%
Judy: (33,900 / 33,400) x 100 = 101.5%
Marcel: (34,000 / 32,900) x 100 = 103.43%
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Please find attached a complete question
need assistance with algebra 2
Answer:
A. Quadratic, degree 2
Step-by-step explanation:
The degree is found by simply finding the term with the power of, that is the highest. Which would be 2x^2. It is raised to the 2nd power, so the degree is 2.
Nancy's nut shop sells cashews for $5.30 per pound and peanuts for $2.80. How many pounds of peanuts must be added to 20 pounds of cashews to make a mix that sells for $3.30 per pound?
Answer:
80 pounds
Step-by-step explanation:
let 'p' = pounds of peanuts to be added
20(5.3) + 2.8p = 3.3(20 + p)
106 + 2.8p = 66 + 3.3p
40 = 0.5p
p = 80
Find the greatest common factor of the
following monomials:
18xy^ 30xy3
NO LINKS
Answer:
Step-by-step explanation:
6xy^3
Addy spent $ 15 on supplies to make giant sugar cookies and plans to sell them at her neigthorhood bake sale for $2 each . She wants her profit after paying back expenses to be a least $ a. What inequality vould represent this situation? bRepresent the solution on a number 'ine. How many cookies does she need to sell to make at least 20?
Answer:
(1.25c) + (1p) ≥ 25
c is the amount of chocolate chip cookies
p is the amount of peanut butter cookies
Step-by-step explanation:
What is the initial value of the equation shown?
y = −5x + 2
a
−5
b
−2
c
5
d
2
Answer:
Y = 2
Step-by-step explanation:
if you were looking for y's value
2.3² +9 × 4 ÷by 2
plz help
Answer: 23.29
Step-by-step explanation:
Shapes. I will give brainless answer correctly and tell me the number
Answer:
It has to be 4 parts because it will to uneven if you cut diagonally.
Find the slope of the line that passes through (84, 7) and (85, -25). Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer: The slope is -32
Explanation:
Start with the slope formula:
m= (y2 - y1) / (x2 - x1)
Substitute point values in the formula
m = (-25 - 7) / (85 - 84)
Simplify each side of the equation
m= (-25 - 7) / (85 - 84) = -32/1
Solve for slope (m)
m= -32
Please help meee :( Just an answer
Answer:
p plus 6
Step-by-step explanation: