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A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
h = -16t2 + 64t + 960.
What is the maximum height?
960 feet
1008 feet
1024 feet
1152 feet
The maximum height that the ball will reach is the one in the third option, 1,024 feet.
What is the maximum height?We know that the height is modeled by a quadratic function:
H = -16t² + 64t + 960.
Where t represents the time in seconds, and H is the height in feet.
To find the maximum height we need to find the vertex of the quadratic, in this case, the vertex is at:
t = -64/2*-16 = 2
Evaluting there we will get:
H(2) = -16*2² + 64*2 + 960 = 1,024
That is the maximum height that the ball will reach.
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Which one should I be choosing?
Answer:
B) m∠S= 116, m∠Q=64, m∠T= 64
Step-by-step explanation:
m<3+m<5=180 true or false
Answer:
False.
Step-by-step explanation:
4.62 +3-3.6z =
Answer plssss
Answer:
z = 2.12
Step-by-step explanation:
4.62 +3 - 3.6z = 0
7.62 - 3.6z = 0
-3.6z = -7.62
z = 2.12
Find the measure of angle h
Answer:
62 degrees
Step-by-step explanation:
Since we know 3 sides of the triangle, we can use law of cosines.
[tex] {gk}^{2} = {gh}^{2} + {kh}^{2} - 2(gh)(kh) \times \cos(h) [/tex]
[tex] {8}^{2} = {17}^{2} + {15}^{2} - 2(17(15) \times \cos(h) [/tex]
[tex]64 = 289 + 225 - 510 \times \cos(h) [/tex]
[tex]64 = 314 - 510 \times \cos(h) [/tex]
[tex] - 250 = - 510 \times \cos(h) [/tex]
[tex] \frac{250}{510} = \cos(h) [/tex]
[tex] \frac{25}{53} = \cos(h) [/tex]
Take the arcos or cosine inverse
[tex] \cos {}^{ - 1} = \frac{25}{53} [/tex]
Which is about 62 degrees.
Add or Subtract to simplify
Answer:
3. - 8n² -8n + 3
Step-by-step explanation:
(4n^4 - 8n +4) - (8n² + 4n^4 +1)
Firstly, open the brackets.
= 4n^4 - 8n +4 - 8n² - 4n^4 - 1
Now, group like terms.
= 4n^4 - 4n^4 - 8n² -8n - 1 + 4
4n^4 - 4n^4 cancel out with each other since one is negative and the other is positive. So we're left with - 8n² -8n - 1 + 4
= - 8n² -8n - 1 + 4
= - 8n² -8n + 3
A chocolate company selects 1200 random packages to check their weight it finds that 30 packages have an incorrect weight. how many packages out of 6000 should the company predict have an incorrect weight.
What expression could be used to evaluate 9/10-1/6
Find the values of the missing angles
HELP PLEASE DO ANY! I’ll give you brilliance
Answer:
1) x = 42 ; y = 42
2) x = 72 ; y = 48 ; z = 60
Step-by-step explanation:
1)
x + 42 + 96 = 180
x + 138 = 180
x = 42
y + 42 + 96 = 180
y + 138 = 180
y = 42
2)
x + 108 = 180
x = 72
y + 132 = 180
y = 48
z + x + y = 180
z + 72 + 48 = 180
z + 120 = 180
z = 60
What is the image of the point (-7,-8)(−7,−8) after a rotation of 270^{\circ}270 ∘ counterclockwise about the origin?
The image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin is (8, -7).
What is counterclockwise ?
Counterclockwise is a direction of rotation that is opposite to the direction of the hands on a clock. It is also known as anticlockwise in some parts of the world. When viewed from above, counterclockwise rotation goes in the direction of a left-handed spiral, while clockwise rotation goes in the direction of a right-handed spiral. In mathematics, physics, and other fields, counterclockwise is often used as a standard convention for the positive direction or orientation of angles, planes, and other geometric objects. In graphical user interfaces, counterclockwise rotation is often used to indicate an undo or reverse action, while clockwise rotation is used to indicate a redo or repeat action.
According to the question:
When a point is rotated by 270 degrees counterclockwise about the origin, the new point is found by switching the x and y-coordinates of the original point, and negating the new x-coordinate. So, to find the image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin, we can use the following formula:
(x', y') = (-y, x)
where (x, y) is the original point and (x', y') is the new point after the rotation
Plugging in the values from the given point, we get:
(x', y') = (-(-8), -7)
Simplifying this expression, we get:
(x', y') = (8, -7)
Therefore, the image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin is (8, -7).
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Jenny's great-grandmother is 86 years old. Jenny is 11 years old. What percent of Jenny's great-grandmother's age is Jenny's age
Answer:
12.79%
Step-by-step explanation:
Let :
Great grand mother = 86 years
Jenny = 11 years
Let the percentage = x
x % of great grandmother's age = Jenny's age
x% * 86 = 11
x/ 100 * 86 = 11
86x / 100 = 11
86x = 100 * 11
86x = 1100
x = 1100/86
x = 12.79
x = 12.79%
how do you find the range of 0.3 0.9 0.2 0 0.7 0.9 0.4
Select all the expressions that are equal to 1/2. ( --- is a minus sign just so you know)
O 18/20 --- 4/10
O 1/8 + 2/3
O 4/12 + 1/6
O 7/8 ---1/4
O 12/15 ---3/5
Answer:
first one, and third one
Above are Joe’s bank account records. What is Joe’s ending balance? Please help
Answer:
$425
Step-by-step explanation:
475 - 50 = 425
please help asap - ill give brainiest
Answer:
this is your answer. look it once
Pls help im already failing and i really dont understand this
Answer:
B. 9.99 + 1.29n [tex]\leq[/tex] 50
Step-by-step explanation:
The inequality of [tex]\leq[/tex] means less than or equal to. Her limit is $50. She has already spent $9.99. Therefore if $1.29 is the cost each song, then n is the number of songs she can afford below the cost of $50.
SIMPLE 7TH GRADE MATH PROBLEM?!?!
Answer:
I'm sure it is 25 hope this helps!!!
Answer:
Should be 25
Step-by-step explanation:
Lol is that pearson realize? i hate that buddy good luck
A right prism with rhombus bases is shown. The side length of each rhombus is 5 units. The height of the prism is 16 units. The diagonals of each rhombus measure 6 and 8 units. A right prism with a rhobux base is shown. Each side of the rhombus measures 5 units. Diagonals with lengths of 6 and 8 units are drawn within the rhombus. The height of the prism is 16 units. What is the volume of the prism? 192 cubic units 200 cubic units 384 cubic units 400 cubic units
Answer:
384 cubic units
Step-by-step explanation:
The computation of the volume of the prism is shown below:
As we know that
The volume of the rhombus is
V = Base × height
where,
B = D₁D₂ ÷ 2
= (6)(8) ÷ 2
= 24 units squared
Now the volume of the prism is
V = (24)(16)
= 384 cubic units
Answer:
384 cubic units
Step-by-step explanation:
5 1 point > 키 Angles x and y are complementary in the diagram shown. 1 2 Z X 3 35° у 4 What is the measure, in degrees, of angle z? 5 Type your answer... 5
Answer:
∠z = 55°
Step-by-step explanation:
90° - 35° = 55°
If these four countries trade only with each other, what is the difference between the highest balance of trade and the lowest
balance of trade within this group?
a €4,378,000,000
€2,797,000,000
€1,928,000,000
d €738,000,000
Answer:
€4,378,000,000
Step-by-step explanation: just took the test :)
Answer:
A
Step-by-step explanation:
Took the test
how to solve -6x+5y=16 and x=5-3y using subsituation
Answer:
you already have x solved for so you plug 5-3y into the x in -6x and you get -6(5-3y)+5y=16
-30+18y+5y=16
-30+23y=16
23y=46
y=2
x=5-3(2)
x=5-6
x=-1
Step-by-step explanation:
A wheel is made of a circular rim and 8 spokes as shown.
The length of each spoke is 37cm
WORK OUT THE TOTAL LENGTH OF THE RIM AND SPOKES.
Answer:
528.6
Step-by-step explanation:
find the circumference of the circle using:
πd: 22/7*74
add the length of the 4 strokes: 37*8
add the two:
Answer:
528.48cm
Step-by-step explanation:
Total length of all the spokes
37cm*8 = 296cm
Length of the circular rim
2πr = Circumference
2(37)π = 74π
74π = 232.48cm
Overall Length
232.48cm + 296cm = 528.48cm
GEOMETRY HELP WILL MARK BRAINLIEST!!!!
Answer:
x = 20°
Step-by-step explanation:
Consecutive angles of a parallelogram are supplementary.
x + 160 = 180
x = 20°
The lengths of the sides of the triangles are 13cm, 14cm, and 15cm. Is the triangle a right triangle?
Answer:
no i don't think
Step-by-step explanation:
it is not be a right angle is 90 and when u add it it doesn't match
Write a unit rate for the situation. Situation: 150 students in 6 classrooms Unit rate: __ students per classroom
A helicopter flew north 325 meters and then flew east 500 meters. How far is the helicopter from its starting point?
Answer:
596.34m approx
Step-by-step explanation:
Given data
Let the Starting point be x
A helicopter flew north 325 meters from x
Then flew east 500 meters
Let us apply the Pythagoras theorem to solve for the resultant which is the distance from the starting position
x^2= 325^2+500^2
x^2=105625+250000
x^2= 355625
x= √355625
x=596.34m
Hence the distance from the starting point is 596.34m approx
A used book store is selling 3 records and 5 CDs for $60. You can also buy 6 records and 4 CDs for $80. Find the cost of one CD. Write the linear system that describes this situation.
9514 1404 393
Answer:
3r +5c = 60
6r +4c = 80
Step-by-step explanation:
There are many aspects of "this situation" that could be described by equations. We are guessing that you want equations that will help you determine the costs of a record and a CD, assuming the costs are the same for each instance of the media.
Let r and c represent the costs of a record and a CD, respectively.
3r +5c = 60 . . . . . . . the value of the first purchase
6r +4c = 80 . . . . . . . the value of the second purchase
These equations comprise a linear system describing an aspect of the situation.
_____
Comment on the question
The numbers make no sense, as the cost of a CD is $(6 2/3), the cost of a record is $(8 8/9).
Please help me!!!! I will give brainliest!
Hey there!
The correct answer is 40 customers.
To solve this we can set up the following equation:
36 = .9x
(How I like to remember this is "36 = 90% of what")
Now, we solve. Divide both sides by .9:
40 = x
Have a terrificly amazing day! :D
how many triangles can you make with angles that measure 47, 60, and 73 degrees?
Answer:
1triangle
Step-by-step explanation:
47+60+73=180degree
so the 1triangle have 180 degree
Find the area of the triangle 4ft 1ft 8ft please answer need help ASAP thank you ☺️
Answer:
16
Step-by-step explanation:
Answer: 16 ft
Step-by-step explanation:
1/2 = divided by 2)
sameyalingareddy avatar
Area of A Triangle formula: b*h*1/2
4/2=2. 2*8=16