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.
A jewerler had a fixed amount of gold
Answer:
ohhhhh and who is the jeweler
Find the Area of the figure below, composed of a rectangle with a semicircle removed
from it. Round to the nearest tenths place.
Answer:
69.9 sq units
Step-by-step explanation:
find area of entire rectangle then subtract out area of semi-circle
(14 x 6) - (3²π ÷ 2)
84 - 14.1 = 69.9
69.9
Step-by-step explanation:
1.11. There are 37 girls and 39 boys going on a field trip with the drama club. At least 1 adult for
every 6 students will also go on the trip. Which correctly explains how to find the number of
adults needed for the trip?
(
Answer:
C
I have done the math on a calculator. :p
Answer:
C
Step-by-step explanation:
First you Just Divide
and the remainder
will be R4 and it's 76÷6
EVERYONE HELP SOS SOS I NEED YOUR HELP THIS IS AN EMERGENCY SOS
SOS
SOS
How is X - 5 mathematically different from x > 5?
INCLUDE A REAL LIFE EXAMPLE IN YOUR RESPONSE AND YOU WILL RECEIVE A BONUS POINT AND MARKED BRAINLYEST
Answer:
The result is different
Step-by-step explanation:
Hope this helps
7. Newton buys a board game for $9.99
and a pack of trading cards for $2.99.
He gives the cashier a $20 bill. How
much change does he receive?
AWNSER ASAPP
Answer: Hello, there! Your Answer is Below^^
7.O2 Would be The Correct Answer.
Step-by-step explanation:
So I Subtracted 20 - 12.98 And Got the Answer $ 7.02
To Add Or subtract Decimals Here's what you can do to find your Answer
Line up the numbers vertically so that the decimal points all lie on a vertical line.
Add extra zeros to the right of the number so that each number has the same number of digits to the right of the decimal place. Step 3: Subtract the numbers as you would whole numbers.
Hope this Helps!!
Have a great day!!!
what is the diameter of a circle with a circumference of 27 centimeters?
Answer:
diameter = 8.6 cm
Step-by-step explanation:
diameter = 27/π = 8.6 cm
Please help very urgent
Answer:
Amplitude = 5.5 units
Domain = All Real Numbers
Range = [-11,11]; {y | -11 ≤ y ≤ 11}; greater than or equal to -11 and less than or equal to 11.
Which number best represents the probability that an event is very unlikely to occur?
A) 1.25
B) 0.50
C 0.97
D) 0.05
Helpppp fastttt
Answer is in a photo. I can only upload it to a file hosting service. link below!
bit.[tex]^{}[/tex]ly/3a8Nt8n
Asap
It is for past paper that is due in tomorrow 29th
Answer:
(i) 22.5
(ii) 7.2
Step-by-step explanation:
(i)
AB:PQ = 2:5 = 1:2.5
So PQ is 2.5 times longer than AB.
PQ=2.5AB=(2.5)9=22.5
(ii):
Since the triangles are similar, their sides are in ratio to each other. So if PQ was 2.5 times longer than AB, QR must also be 2.5 times longer than BC:
QR=2.5BC
BC=QR/2.5=18/2.5=7.2
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:
help please , i need it asap ! ty
Answer:
7.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
If the one side = 3 and the other side (4.5) is supposed to be the same all it is is 4.5/3 which is 1.5. 1.5 times 5 ( the bottom side) is 7.5! X=7.5
Help help help please help help helpp
Answer:
(4⋅2x)+(-2+4)=8x+2
2⋅3(1a+1a)=
6a+6b
I hope these are okay, and what you were asking for. I hope this helped! +*♡
Find the volume of the following figure using unit cubes.
Answer:
Volume : 94
Step-by-step explanation:
2(4 x 5) = 40
2(3 x 5) = 30
2(3 x 4) = 24
------------------
40 + 30 + 24 = 94
Enter the phrase as an algebraic expression.
the product of 38 and g
Answer:
38g
Step-by-step explanation:
Product means multiplication so:
The product of 38 and g is 38g
What integer is the opposite of 32 degrees Celsius below zero?
Answer:
-32?
Step-by-step explanation:
Solve for x. Show or explain your work. Then, verify that your solution is correct. 5(2 + 5) = 6 − 10 –
ppppp)is dilated from the origin by scale factor r to the world
server F, working 7 hours offers to join the group of five servers sharing their workload. If server F joins will the mean number of hours worked increase or decrease
The first sequence rule is add 5 starting from 20. The second sequence rule is subtract 7 starting from 56. What is the first number that appears in both sequences?
25
28
42
35
Answer:
35
Step-by-step explanation:
its the 4th step your welcome
20-25-30-35
56-49-42-35
Answer: 35 I got it correct on the quiz
Step-by-step explanation:
What is the image point of (-9,-2) after the transformation T-2,-5
Answer:
(-11, -7)
Step-by-step explanation:
The original point is (-9,-2)
The transformation you have to do is (x-2 , y-5)
This makes it so that you move the original point 2 units to the left (as a negative sign in the x value is towards the left side where the negative units are) and 5 units downwards (as a negative sign in the y value is on the negative side of the y-axis which is down)
So, your final answer would be (-9-2,-2-5) which is (-11,-7)
If a truck used 25 gallons to travel 375 mies, how many miles would it travel on 4 gallons of gas?
Answer:
93.75 miles if im not mistaken
Step-by-step explanation:
because the most miles is 375 so you would divide that number by four to see how many miles u can go before filling up again.
please help me.. I don't understand what it is..
9514 1404 393
Answer:
22.6
Step-by-step explanation:
The diagonal of the square is they hypotenuse of an isosceles right triangle with sides of 16 inches. The Pythagorean theorem tells you its length (d) is ...
d^2 = 16^2 +16^2 = (16^2)(2)
Taking the square root, we have ...
d = 16√2 ≈ 22.6 . . . . inches
A) 113
B) 92
C) 133
D) 117
What is 0.0475 converted to a percentage
Answer:
0.0475 = 4.75%
Step-by-step explanation:
Answer:
4.75%
Step-by-step explanation:
Look at the decimal number 0.0475 as 0.0475 out of one. Furthermore, percent means per hundred. So the task is to convert 0.0475 out of one to 0.0475 out of one hundred.
The equation to solve the problem is displayed below where x is the 0.0475 as a percentage.
[tex]\frac{0.0475}{1}[/tex]=[tex]\frac{x}{100}[/tex]
We solve the equation for x above by first multiplying each side by one and then multiplying each side by one hundred. Thus, the answer to 0.0475 as a percentage is: 4.75%
There are 7 red marbles, 7 blue marbles, 7 yellow marbles, and 7 green marbles in a bag. If a person randomly selects 1 marble from the bag, what is the probability that the person selects a blue marble?
Total marbles: 7 + 7 + 7 + 7 = 28
There is a total of 28 marbles. 7 are blue.
The probability is the number of blue/ total marbles = 7/28 which reduces to 1/4
The probability is 1/4
Answer:
have a good day/night may i please have a branllist
Step-by-step explanation:
1/3
There is 21 marbles and if you divided by 3 it gets 7.
7/21 is equal to 1/3
Therefore the possibility of picking a blue marble is 1/3.
there are an equal amount of all three colors of marbles in the bag, so the probability of selecting a blue marble is just 1/3.
A) 45
B) 120
C)120
D) 60
There are 9 cherry trees in Edgar's orchard, and he wants to plant more. It takes him an hour to plant each tree.
Let h represent the number of hours Edgar spent planting and c represent the total number of cherry trees he will have.
1: 1
3: 4
5: 9
7: 16
sorry if this doesn't make sense if it does i hope it helped:)
1. Name an example of a real-world data set, not yet mentioned in the course, where you would typically expect to see a normal distribution. Be sure to describe what the labels would be for the horizontal and vertical axis of the display. Then explain why you would expect a normal distribution. What range of data values would you expect to represent 1 standard deviation from the mean? (15 points; 10 for your answer, 5 for response to others' comments.)
Answer:
1.The heights of students in a class, for example, would have a normal distribution. We expect a few students to be extremely tall and a few to be extremely short, but the majority will be in the middle. On the x-axis, we'll have heights, and on the y-axis, we'll have the frequency of the number of students with heights. According to the empirical rule, 68 percent of the data could fall within one standard deviation of the mean.
Drag the expressions into the order in which the expressions are listed from greatest value to least value. Place the expression with the greatest value at the top and the one with the least value at the bottom.
(5280×10)−(314×10)
5280−314
10.6× (5280 −314)
(5280−314)÷111
Step-by-step explanation:
I did the test!Greatest expression=10.6× (5280 −314)
Least expression= (5280−314)÷111
Step-by-step explanation:Definition of greatest value and least valueThe greatest value is the maximum value in given observation and least value is the minimum value in the given observation.
Solution of first expression
[tex](5280*10)-(314*10)= 52800-3140\\=49660[/tex]
Solution of second expression
[tex]5280-314= 4966[/tex]
Solution of third expression
[tex]10.6*(5280-314)=53632.8[/tex]
Solution of fourth expression
[tex](5280-314)/111=44.74[/tex]
From the above observation we can observe that greatest and least value are 53632.8 (which is third expression ) and least value 44.74(which is fourth expression)
To know more about solving expression
https://brainly.com/question/23180795
#SPJ2
Find the product. Simplify.
(a + 1)(a –5)=
Answer:
[tex](a + 1)(a - 5) \\ {a}^{2} - 5a + a- 5 \\ {a}^{2} - 4 a- 5[/tex]
What fraction of the whole are the blue piece, the orange piece, the red piece, and the purple piece. How do you know?
Answer:
blue piece is 1/2 because it takes up half of the square, the purple is only 1/4 because it would take 4 purple to fill the big square and the orange is half of the purple so it takes double of pieces so 8 pieces which is 1/8
