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.
32 / (-4) . 3 - (-1)
Answer:
-32
Explanation:
32/ -4 = -8
3 - -1 = 3+1 = 4
-8x4 = -32
You roll a pair of six-sided number cubes, numbered 1 through 6. What is the probability of rolling two odd numbers? (Enter your probability as a fraction
Answer:
1/4 or 25%
Step-by-step explanation:
The probability for rolling an odd number is 50% or [tex]\frac{1}{2}[/tex] because there are 3 odd numbers, (1, 3, 5) and 6 total outcomes (1, 2, 3, 4, 5, 6). [tex]\frac{3}{6} =\frac{1}{2}[/tex]
The probability for rolling two odd numbers in a row is
[tex]\frac{1}{2} *\frac{1}{2} =\frac{1}{4}[/tex]
So, the probability of rolling an odd number twice is 25% or [tex]\frac{1}{4}[/tex].
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
∠EFC and ∠DCF
∠BCF and ∠GFC
Step-by-step explanation:
A penny is dropped from the observation deck at the top of The Willis Tower in Chicago, IL. The height of the penny at any time is given by the equation H = 1450 – 16t2, where H is the height of the penny in feet and t is the time measured in seconds. How long will it take for the penny to hit the ground? Round your answer to the hundredths place.
Answer:B
Step-by-step explanation:because you need to add
Suppose the linear regression line y = 3.125x – 23.115 predicts a lemonade stand's profits based on the number of cups sold. If x represents the number of cups sold, and y represents the lemonade stand's profits in dollars, about how much can the lemonade stand expect in profits if it sells 225 cups?
Answer:
680
Step-by-step explanation:
Jake ran a full marathons of 26 miles. His average speed was 6 miles per hour. About how long did it take him to cross the finish line?
Answer:
Step-by-step explanation:
273m
Cost to store-$152, Mark up 50%, Selling Price-?
Answer:
Amount of selling cost = $228
Step-by-step explanation:
Given:
Amount of cost to store = $152
Mark up = 50%
Find:
Amount of selling cost
Computation:
Amount of mark up = Amount of cost to store x Mark up
Amount of mark up = 152 x 50%
Amount of mark up = $76
Amount of selling cost = Amount of cost to store + Amount of mark up
Amount of selling cost = 152 + 76
Amount of selling cost = $228
What is the angle of rotation of the figure?
A. 30°
B. 60°
C. 72
D. 120
Answer:
b
Step-by-step explanation:
Answer:
i would say A
Step-by-step explanation:
cause it looks like its only slitly rotated
Jon was at a football match.
The match ended at 16:55
Jon got back to his car in the car park 15 minutes after the match ended.
He drove out of the car park 10 minutes later.
It then took him 45 minutes to drive home.
Did Jon get home before 18 00?
You must show how you get your answer.
Answer:
no he will make it home at 18:15
Step-by-step explanation:
[tex]4:55+15=5:10\\5:10+10=5:20\\5:20+45=6:15[/tex]
The question is on the ss btw
Answer:
The shop
Step-by-step explanation:
Given
Shop
[tex]Cost = E9[/tex]
[tex]Bag = 12.5kg[/tex]
Supermarket
[tex]Cost=E1.83[/tex]
[tex]Bag = 2.5kg[/tex]
Required
The better value
To do this, we simply calculate the unit price.
This is calculated as:
[tex]Unit = \frac{Price}{Bag}[/tex]
So, we have:
Shop
[tex]Unit = \frac{9}{12.5}[/tex]
[tex]Unit = 0.72[/tex]
Supermarket
[tex]Unit = \frac{1.83}{2.5}[/tex]
[tex]Unit = 0.732[/tex]
At the shop, the unit price is £0.72 per bag while at the supermarket, the unit price is £0.732
The best value is at the shop, because it is cheaper
i.e.
[tex]0.72 < 0.732[/tex]
state whether the following statements are true or false mathematics.
[tex] \geqslant[/tex]
Answer:
Statements? Your question is incomplete.
Use the geometric series 5^Ž (8)*-* to answer each question.
n=1
What are the terms in the series?
1 + 8 + ___+ ____+ ____
Answer:
First one is:
1 + 8 + 64 + 512 + 4096
Second one is:
73
Answer:
First one is:
1 + 8 + 64 + 512 + 4096
Second one is:
73
Step-by-step explanation:
What is the least amount of green ooze any one contestant carried?
Answer:
Step-by-step explanation:
Hey there. In the comments above, let's list these fractions and convert them into decimals for a more simple comprehension level:
0; 1/8; 3/8; 1/2; 5/8; 3/4; 7/8; and 1. The converted list below will correspond with these fractions in order:
0; 0.125; 0.375; 0.5; 0.625; 0.75; 0.875; and 1.00.
Looking at these decimals, 1.00 is the greatest amount as it is the only fraction that converted to a whole number.
If f(x)= - 4x-4, g(x)= 4x² + 4x + 2, and h(x)= 3x2 – 3, find f(3).
f(3) =
(Simplify your answer.)
Answer:
[tex]f(3) = -16[/tex]
Step-by-step explanation:
Given
[tex]f(x)= - 4x-4[/tex]
[tex]g(x)= 4x^2 + 4x + 2[/tex]
[tex]h(x)= 3x^2 - 3[/tex]
Required
[tex]f(3)[/tex]
We have:
[tex]f(x)= - 4x-4[/tex]
Substitute [tex]x = 3[/tex]
[tex]f(3) = -4 * 3 - 4[/tex]
[tex]f(3) = -12 - 4[/tex]
[tex]f(3) = -16[/tex]
Hence:
[tex]f(3) = -16[/tex]
Given = x= [b a 4 a ] Y =[c d a b] and z = [a c 16 b] What is Y if x-2y=Z?
Answer:
a [2, -4, -6, -2]
Step-by-step explanation:
The calculated value of the matrix Y is : Y = [tex]\left[\begin{array}{ccc}2&-4\\-2&-6\end{array}\right][/tex]
What is matrix?In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.
Here, we have,
Calculating the matrix Y
From the question, we have the following parameters that can be used in our computation:
Given that
X - 2Y = Z
So, we have
b - 2c = a
a - 2d = c
4 - 2a = 16
a - 2b = b
So, we have
4 - 2a = 16
-2a = 12
a = -6
Next, we have
a - 2b = b
-6 - 2b = b
3b = -6
b = -2
Next, we have
b - 2c = a
-2 - 2c = -6
-2c = -4
c = 2
Lastly. we have
a - 2d = c
-6 - 2d = 2
-2d = 8
d = -4
The matrix Y is given as: Y =[c d a b]
So, we have
Y = [tex]\left[\begin{array}{ccc}2&-4\\-2&-6\end{array}\right][/tex]
Read more about matrix at
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Can someone please give me the answers to both of the questions I will mark u brilliant
Answer:
1c
Step-by-step explanation:
2b
Answer: The answer to the first question is 4 units. The answer to the second question is 45+4h.
Step-by-step explanation:
Please help find answer to questions 22
9514 1404 393
Answer:
A) 26°
Step-by-step explanation:
The angle x decreases at a rate that is 12 times the rate of increase of angle y.
x = 360 -12y
We want x = 2y, so ...
2y = 360 -12y
14y = 360
y = 360/14 ≈ 25.71 ≈ 26
The integer angle closest to y is 26°.
Karen paid $62 for pair of shoes. Three days later she noticed the shoes were on sale for $50. What was the percent of change
Answer:
24%
Step-by-step explanation: c:
Please answer this quick!!
Find the area of the polygon with E(-3,2), F(1,5), G(5,-1), H(1,-5).
Someone please help having a lot of trouble with this question :....( thanks.
Answer:
40
Step-by-step explanation:
-3 2
-15 - 2 = -17
1 5
-1 - 25 = -26
5 -1
-25 - (-1) = - 24
1 -5
2 - 15 = -13
-3 2
area = |-17 - 26 - 24 - 13|/2 = |-80|/2 = 80/2 = 40
Answer: 40
A lamp points toward the base of a doorway as shown below, what is the height, in feet, of the lamp
Answer: [tex]40\sqrt{3}[/tex]
Step-by-step explanation:
30-60-90 triangle- leg opposite 30 is x, leg opposite 60 is [tex]x\sqrt{3}[/tex] and the hyp. is 2x
we need to figure out X
we also know that the leg opposite 60 is = 120
[tex]120=x\sqrt{3}[/tex]
square everything
[tex]14400=3x^{2}\\4800=x^{2} \\\sqrt{4800} =x\\\sqrt{1600*3} =x\\40\sqrt{3} =x[/tex]
Plz answer this I will give brainliest
Answer:
C
Step-by-step explanation:
A=6a²=6·6.5²=253.5
Find the area of the square or rectangle write your answer as a fraction
The solution is, the area of the square is 4/9 in^2.
What is area ?Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object. Area of a square (A) is the product of its length (l) and width (l).
i.e. A= l× l
here, we have,
In this problem we have a square
so
the area of a square is
A=b^2
we have
b=2/3 in
substitute
A=(2/3)^2
A=4/9 in^2
Hence, The solution is, the area of the square is 4/9 in^2.
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What is the measure of each angle of a regular 26-gon?
Answer:
Angle of Regular polygon = 166.15° (Approx.)
Step-by-step explanation:
Given:
Regular polygon with 26 sides
Find:
Measure of each angle of Regular polygon
Computation:
Angle of Regular polygon = [(n-2)180] / n
where n = number of sides
Angle of Regular polygon = [(26-2)180] / 26
Angle of Regular polygon = [(24)180] / 26
Angle of Regular polygon = [4,320] / 26
Angle of Regular polygon = 166.15° (Approx.)
is it required to pay for class dues in high school?
Answer:
Yes, if you want to graduate yes
2. Change the fraction to a decimal.
a. 6/100
b. 43/100
c. 3/10
d. 4 23/4,000
How would I do this?
Answer:
A
Step-by-step explanation:
Answer:
a-0.06
b-0.43
c-0.3
d-I don't know what u were asking 423/4,000 is 0.10575
Step-by-step explanation:
Finding decimals from fractions is easy just divide the top number by the bottom a fraction sign is the same as a division sign I don't know why you use the other one with the dots on both sides instead of just always using this one.
please please i need help i will mark u brill
Answer:
106 - 8h = 34
Whenever a math question says "when h = 9," they mean you substitute this number where h is in the equation.
106 - 8(9) = 34
106 - 72 = 34
34 = 34
This means the fact that h = 9 is a solution for h.
I hope this helps! I would really appreciate it if you would please mark me brainliest! Have a blessed day!
2. An RC car sold for $58.85. This
amount includes a sales tax of 7%.
What was the cost of the RC car
before tax?
Answer:
47
Step-by-step explanation:
2
Sierra's ice cream shop made $45 before she had to close early when the power went out. She realized she lost ſ of
a dollar each hour when the shop was closed. The expression that models this situation is 45 - an what was Sierra's
profit if the shop was closed for 6 hours?
$24
O $36
O $41
$49
Answer:
if shes losing 2/3 each hour, the her profit would be 41.
Step-by-step explanation:
2/3 x 6 is 4, 45 - 4 is 41.
A car travels 120 miles at the speed of 48 miles per hour. Find the time taken for the journey using the formula d = rt.
1 hour
2 hours
O 1.5 hours
O 2.5 hours
Answer:
2 hours
Step-by-step explanation:
Car travels from A to B at 60 miles/hour. Time of travel = 120/60 = 2 hour. Average speed of round trip = (120+120)/(2+3) = 48 miles per hour.