Answer:
The maximum height that the ball reaches is of 3.96 meters.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
In this question:
The height after t seconds is given by:
[tex]h(t) = -51t^2 + 20t + 2[/tex]
Which is a quadratic equation with [tex]a = -51, b = 20, c = 2[/tex]
What is the maximum height that the ball reaches?
This is [tex]h_v[/tex].
[tex]\Delta = b^2-4ac = 20^2 - 4(-51)(2) = 808[/tex]
[tex]y_{v} = -\frac{\Delta}{4a} = -\frac{808}{4(-51)} = 3.96[/tex]
The maximum height that the ball reaches is of 3.96 meters.
Rectangle ABCD has vertices A(–6, –2), B(–3, –2),
C(–3. –6), and D(–6, –6). The rectangle is translated so that the coordinates of the image are A’(–10, 1), B’(–7,1),
C’(–7, –3), and D’(–10, –3).
Which rule was used to translate the image?
Answer:
The rule is ( x - 4, y + 3)
Step-by-step explanation:
Mr. & Mrs. Dargen spent $46.25 on a meal, about how much should they
leave for a 18% tip?
Answer:
$8.32
Step-by-step explanation:
I found one percent of 46.25 ( which was 0.4625) by dividing it by 100 then i multiplied that number by 18 in order to get how much the 18% tip would be. From that I got 8.325 but since this is in a currency the answer would be 8.32
thats just how I do it there's other ways
1.Charlie buys two circular pizzas.
The first pizza has a 12- The second pizza has a
inch diameter
14-inch diameter.
How much greater, in square inches, is the area of the second pizza than the first pizza?
Round your answer to the nearest tenth
Answer:
Step-by-step explanation:
Simplify.Solution may include surds
√3x²y².√2x
√6x^3y^2
Step-by-step explanation:
For which of the following sample sizes is the sample median most likely to be above $250,000?
A. n = 10
B. n = 50
C n = 100
D. n = 1000
E Impossible to determine without more information
Answer:
A. n=10
Step-by-step explanation:
your welcome
Answer:
n=100
Step-by-step explanation:
In a residential neighborhood, the median value of a house is $200,000. For which of the following sample sizes is the sample median most likely to be above $250,000? That was the exact question I had on the quiz. I'm not sure why it is n=100, but I got it correct.
A class contains 6 students with black hair, 8 with brown hair, 4 with blonde hair, and 2 with red hair.
Answer:
Step-by-step explanation:
If this class contains these types of hair color THEN the class will have
3/10 kids with black hair
1/10 kids have red hair
2/5 kids have brown hair
1/5 kids have blonde hair
_________________________
In total the class has 20 kids
It is found that the total number of students in the class is 20.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given that class contains 6 students with black hair, 8 with brown hair, 4 with blonde hair, and also 2 with red hair.
If this class contains these types of hair colors of the students, then the class will have;
3/10 kids with black hair
1/10 kids have red hair
2/5 kids have brown hair
1/5 of kids have blonde hair
Total = 6 + 8 + 4 + 2 = 20
In total, the class has 20 students.
To learn more about the unitary method, please visit the link given below;
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The complete question is;
A class contains 6 students with black hair, 8 with brown hair, 4 with blonde hair, and 2 with red hair. What is the total number of students in the classes?
Hurrry dont be bots A bag of marbles has 5 blue marbles, 3 red marbles, and 6 yellow marbles A marble is drawn from the bag at
random. How many possible outcomes are there?
BI
03
O 5
06
O 14
Answer:
14
Step-by-step explanation:
im so sorry that the other people's comments are making you feel uncomfortable :(
there are 14 marbles in total since:
5 marbles+3 marbles+6 marbles = 14 marbles
each marble has one chance of being pulled out, therefore, there are 14 different outcomes.
An expression is shown below:
f(x) = 2x^2 − x − 10
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
Which statements are true about the functions. Picture attached
Answer:
Option 1, 3, 4 are true
Step-by-step explanation:
Answer:
statement 1 3 and 4 are correct
Find the average of 62 ℓ, 28 ℓ, 45 ℓ and 33 ℓ.
Answer:
the average is 168
Step-by-step explanation:
Your car uses 15 1/2 gallons of gasoline on a 310 mile trip
Which of the following is three dimensional and indefinitely large ?
Complete question is;
Which of the following is three-dimensional and infinitely large?
A. A solid
B. A line
C. A plane
D. Geometric space
Answer:
D. Geometric space
Step-by-step explanation:
The answer is option D.
A one dimensional object has only length, a two dimensional object has length and breadth, while a 3 dimensional object has length, breadth and depth.
Thus, a line is a one dimensional object because it has just length.
A plane is a two dimensional object.
While a solid and geometric space are both 3 dimensional objects.
However, solid is finitely large while geometric space is infinitely large.
ANSWER THE QUESTION FOR BRAINLIEST
ANSWER THE QUESTION FOR BRAINLIEST
Answer:
-3/2
Step-by-step explanation:
the constant of variation is commonly known as k .
y/x= k
so -3/2 is your answer
Answer:
it is a
Step-by-step explanation:
What is the area of a parallelogram that has the length of 3.5cm and the height of 2.3cm?
Plz help this is due today i would have done it myself but i totally forgot about these so PLZ HELP AND NO LINKS AND NO GROSS PICTURES OR I REPORT.
Answer:
A,B,D
Step-by-step explanation:
Residents in a city are charged for water usage every three months. The water bill is computed from a common fee, along with the amount of water the customers use. The last water bills for 40 neighborhood residents are displayed in the histogram below.
A histogram titled Neighborhood Monthly water bill has monthly water bill (dollars) on the x-axis and frequency on the y-axis. 100 to 125, 1; 125 to 150, 2; 150 to 175, 5; 175 to 200, 10; 200 to 225, 13; 225 to 250, 8.
Which interval contains the median water bill?
$150–$175
$175–$200
$200–$225
$225–$250
The interval which contains the median water bill is $200 - $225
The tabulated data :
Class interval ____ Frequency ___ Cummulative frequency
100 to 125, ________ 1 ___________ 1
125 to 150, 2 ______ 2 ___________3
150 to 175, 5 _______5 ___________8
175 to 200, 10 ______10 __________18
200 to 225, 13 _____13 __________ 31
225 to 250, _______ 8 __________40
The median class = Cummulative frequency / 2
The median class = 40 / 2
The class interval which contains the 20th frequency.
This is the 200 - 225 class
The interval which contains the median water bill is $200 - $225
Learn more : https://brainly.com/question/300591
What is the value of S3 for
20/9
20/3
65/9
65/3
Answer:
65/9
Step-by-step explanation:
Substitute 3 for the infinity sign above the sigma and solve with a calculator. Correct edge2021
The bedroom and office in the diagrams below are similar rectangles. The walls on the left sides in the diagram are proportional, and the walls on the top sides in the diagram are proportional. How long is the missing wall of the office (shown in red below)?
Answer:
D. 16.8
Step-by-step explanation:
The missing wall of the office would be; 16.8 feet long.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
We are given that bedroom and office in the diagrams below are similar rectangles.
It is given that the walls on the left sides in the diagram are proportional, and the walls on the top sides in the diagram are proportional.
Threfore, we get;
x/10 = 14 /12
Solving;
x = 14/12 (10)
x = 16.8
Hence, the value of the missing wall x is 16.8 feet.
More can be learned about proportions at;
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Find angle R as shown by the picture
I need an explanation
Will name brainliest
Answer: C. 39 degrees
Step-by-step explanation: Hope this help :D
Please help Due in 3 Min!
Airplane A is flying directly toward the airport which is 30 miles away. The pilot notices Airplane B 40 degrees to her right. Airplane B is also flying directly toward the airport. The pilot of Airplane B calculates that Airplane A is 30 degrees to his left. Based in that information, how far is Airplane B from the airport?
9514 1404 393
Answer:
38.6 mi
Step-by-step explanation:
The law of sines applies.
b/sin(B) = a/sin(A)
a = b(sin(A)/sin(B)) = (30 mi)sin(40°)/sin(30°)
a ≈ 38.6 mi
Airplane b is about 38.6 miles from the airport.
_____
We have used the usual convention that the side opposite an angle is named using the lower-case letter naming the angle. Here, the angles are named by the airplane designator (A or B).
Answer:
We have used the usual convention that the side opposite an angle is named using the lower-case letter naming the angle. Here, the angles are named by the airplane designator (A or B).
What is the length of EF? (PLEASE HELP)
4π
2π
8π
π
Answer: 8 pie
Step-by-step explanation:
8====>
The length of the given arc is determined as 2π.
option B is the correct answer.
What is the length of the arc EF?The length of the arc EF is calculated by applying the formula for the length of an arc as shown below;
EF = θr
where;
θ is the angle subtended by the arcr is the radius of the sectorFrom the given diagram, the radius of the arc = 4, and the angle subtended by the arc = π/2
The length of the arc is calculated as follows;
EF = ( π/2 ) x 4
EF = 2π
Thus, the length of the given arc is determined by applying the formula for length of an arc.
Learn more about length of arc here: https://brainly.com/question/2005046
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Which of these situations can be represented by the opposite of -25 select all that apply
Answer:
Please give us the situations and then we can answer correctly. :)
HIGH POINTS)Please help! (20 points)
Answer:
What the other person said
Step-by-step explanation:
Help I would love to give you a thanks
Answer:
Formula
Step-by-step explanation:
Answer:
formula because it gives you the number and tells you what to do.
A red die and a blue die are rolled. You win or lose money depending on the sum of the values of the two dice. If the sum is 6 or 10, you win $4. If the sum is 5, 9, or 12, you win $1. If the sum is any other value (2, 3, 4, 7, 8, or 11), you lose $2. Let X be a random variable that corresponds to your net winnings in dollars. What is the expected value of X
Answer:
The expected value of X is $0.0833.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
For each dice, there are 6 possible outcomes(values from 1 to 6). So for 2 dices, there are [tex]6^2 = 36[/tex] desired outcomes.
Desired outcomes:
Sum 5: (1,4), (2,3), (3,2), (4,1).
Sum 6: (1,5),(2,4),(3,3),(4,2),(5,1)
Sum of 9: (3,6), (4,5), (5,4), (6,3)
Sum of 10: (4,6), (5,5), (6,4)
Sum of 12: (6,6)
Probabilities:
5 + 3 = 8 outcomes in which the sum is 6 or 10, that is, 8/36 probability of winning $4.
4 + 4 + 1 = 9 outcomes in which the 5, 9, or 12, that is, 9/36 probability of winning $1.
36 - (8 + 9) = 36 - 17 = 19 remaining outcomes, that is, 19/36 probability of losing $2.
What is the expected value of X?
Multiplication of each outcome by its probability. So
[tex]E(X) = \frac{8}{36}*4 + \frac{9}{36}*1 - \frac{19}{36}*2 = \frac{8*4 + 9*1 - 19*2}{36} = \frac{32 + 9 - 38}{36} = \frac{3}{36} = 0.0833[/tex]
The expected value of X is $0.0833.
Help! Will give Brainliest
Answer:
B
..................... ....
10. Beth has a wooden box. The inside of the box is 5 inches wide, 8.25
inches long, and 4.5 inches tall.
Answer:
185.625in^2
Step-by-step explanation:
This is volume right?
5*8.25*4.5=
FSA Mathematics Practice Test Questions
Session 1
2.
What fraction is represented by point A on the number line shown?
find the value of x
help pleaee
Answer:
x = 180 - 57 - 79 = 44°