Answer:
In bold below.
Step-by-step explanation:
Find derivative which gives the velocity:
V = h' = -32t + 28
At maxm height V = 0 so
-32t + 28 = 0
Time to reach maxm height t = -28/-32 = 0.875 seconds.
So maxm height
= -16(0.875)^2 + 28*0.875 + 8
= 20.25 ft.
Bruce spends 15% of his monthly budget on groceries. What is the decimal equivalent of 15%?
Answer:
0.15 no promble
Step-by-step explanation:
take the demical from behind and go forward 2 times
Rohan dropped a lacrosse ball from a building.
After each bounce, the height of the ball is measured and recorded in the table.
Bounce Number Height (cm) After Bounce
1 10,240
2 2,560
3 640
4 160
Write an explicit and recursive formula to represent the sequence of the height of the ball after each bounce.
What is the height of the ball after bounce 8? Explain your answer by using one of the formulas you created.
Answer:
The nth bounce a sub n is 0.25 (a sub n-1)
0.625 cm
Recursive formula of the sequence → [tex]T_n=10240(\frac{1}{4})^{n-1}[/tex]
Explicit formula of the sequence → [tex]T_1=10240, \\T_{n+1}=T_n(0.25)[/tex]
Height of the ball after 8th bounce will be 0.625 cm.
Geometric sequence and its explicit and recursive formula,If a sequence is in the form of [tex]ar,ar,ar^2,ar^3.....[/tex] n terms,Sequence will be the geometric sequence and the explicit formula
of the sequence will be,
[tex]T_n=ar^{n-1}[/tex]
Here, [tex]a=[/tex] First term
[tex]r=[/tex] Common ratio
[tex]n=[/tex] Number of terms
Similarly, recursive formula will be,[tex]a=[/tex] First term
[tex]T_{n+1}=T_n(r)[/tex]
From the table attached,
There is common ratio between the successive term and previous term under the column (height after the bounce) is,
[tex]\frac{T_2}{T_1}=\frac{2560}{10240}=\frac{1}{4}[/tex]
[tex]\frac{T_3}{T_2}=\frac{640}{2560}=\frac{1}{4}[/tex]
Therefore, height of the ball after each bounce will represent a geometric sequence.
Explicit formula of a geometric sequence will be given by the expression,
[tex]T_n=10240(\frac{1}{4})^{n-1}[/tex]
Recursive formula for the sequence will be,
[tex]T_1=10240[/tex]
[tex]T_{n+1}=T_n(\frac{1}{4})[/tex]
By using recursive formula,
Height of the ball after 8th bounce,
[tex]T_8=10240(\frac{1}{4})^{8-1}[/tex]
[tex]=10240(0.25)7[/tex]
[tex]=0.625[/tex] cm
Therefore, explicit formula to represent the height of the ball will be [tex]T_n=10240(\frac{1}{4})^{n-1}[/tex]recursive formula will be, [tex]T_1=10240\\T_{n+1}=T_n(0.25)[/tex]
And height of the ball after 8th bounce will be 0.625 cm.
Learn more about the geometric sequence here,
https://brainly.com/question/25250161?referrer=searchResults
Seth owns a local ice cream parlor. He designed a new sign in the shape of an ice cream cone and cut it from plywood. He wants to attach LED lights around the PERIMETER of the sign. A diagram of the sign made from a TRIANGLE and a SEMICIRCLE is shown below. What is the length of LED lights he will need to span the PERIMETER of the sign?
Answer:2 feet i think?
Step-by-step explanation:
sorry need points
PLEASE HELP
I DONT UNDERSTAND
In the diagram below, DE AE, BA | CE, CB || D A and mZE = 54°. Find mZC.
Answer:
angle D should be equal to angle C
Step-by-step explanation:
i think this is the answer you need but i'm not sure
???? Please help!!!!!!!
Answer:
It would probably be C
PLEASE HELP ME ITS DUEEE TODAYY!!!!!!!!!
height =h=16inch
Answer:
volume of cuboid =l×b×h
3840in³=20×12×h
h=3840/240=16inch
What is the perimeter and area? I will give brainliest if you answer correctly and no links or you will be reported
Answer:
perimeter is 36 cm
Step-by-step explanation:
a perimeter of a regular hexagon is 6a
soo sorry I don't know its area
A number is chosen at random from 1 to 10. Find the probability of selecting
an odd number
Answer:
5 out of 10, 5/10, or 50%
Step-by-step explanation:
a packing box is 3.5 feet by 1.4 feet by 1.8 a box that is 3.1 feet by 1.1 feet by 1.4 feet is placed inside the first box the rest of the box is filled with packing foam how many cubic feet does the packing foam take up
The packing foam takes up approximately 4.606 cubic feet of space in the larger box.
To calculate the volume of the packing foam, we need to determine the volume of the larger box and subtract the volume of the smaller box.
The volume of the larger box is given by length × width × height, which is 3.5 feet × 1.4 feet × 1.8 feet = 8.82 cubic feet.
Similarly, the volume of the smaller box is calculated as 3.1 feet × 1.1 feet × 1.4 feet = 4.214 cubic feet.
To find the volume of the packing foam, we subtract the volume of the smaller box from the volume of the larger box:
8.82 cubic feet - 4.214 cubic feet = 4.606 cubic feet.
For more such questions on packing
https://brainly.com/question/30767057
#SPJ8
Can anyone explain how to do this, please?
In Exercises 21-26, a fair coin is tossed two times in succession.
The set of equally likely outcomes is {HH, HT, TH, TT). Find the
probability of getting
21. two heads.
22. two tails.
23. the same outcome on each toss.
24. different outcomes on each toss.
25. a head on the second toss.
26. at least one head.
Answer: I need more context
Step-by-step explanation:
are these complementary or supplementary or neither
please help me do the three Q thank you i will really appreciate it
Answer:
9.9 or 10
Step-by-step explanation:
With a right triangle you can use the formula a^2+b^2=c^2
c is the missing side
7^2+7^2=c^2
49+49=c^2
98=c^2
9.899=c^2
Either round this to 9.9 or 10
Help ASAP! Giving brainliest to whoever answers first!!!
Answer:
9
Step-by-step explanation
66, 67, 68, 68, 70, 71, 71, 71, and 72
(=^w^=)
I GIVE BRAINLIEST
please hurry im timed!
Answer:
my answer is C hope it helps in thank youNeed help finding the Area for both of these shapes.
Answer:
Shape 1 :36
Shape 2 : 18
Step-by-step explanation:
Shape 1 : So lets break this into 3 different shapes 2 triangle and 1 rectangle. trangle number one is 3x6÷2=9 since both the trangles are the same its 9+9=18. The rectangle is 3x6 which is 18 18+18=36
__________________________________________________________
Shape 2: Lets break it up the same way we did to shape 1, first triangle is 3x5÷2 which is 7.5 since both triangle is the same its 7.5+7.5=15. The ractangle is 3x1 which is 3 so 15+3=18
Hope this helped! :)
Ishaan is 3 times as old as Christopher. He is also 14 years older than Christopher. How old is Christopher?
Answer:
He is 42 years old.
Step-by-step explanation:
3 x 14 = 42
The 3 is for how many times older Ishaan is.
The 14 is how many years older than Christopher Isahaan is.
If you need to find Isaahan's age, just multiply 2 x 14, which is 28.
Isahaan is 28 years old, and Christopher is 42 years old.
Glad I could help!
-Vibilities
please help!! Which side lengths form a right triangle?
A 1, 2, 3
B 3, 4, 5
C 5, 6, 7
9514 1404 393
Answer:
B. 3, 4, 5
Step-by-step explanation:
The Pythagorean triple (3, 4, 5) is the only Pythagorean triple that is an arithmetic sequence. It is also the triple with the smallest integers. It is useful to remember this triple, as it is seen a lot in algebra, geometry, and trig problems.
__
Side length 1, 2, 3 do not form a triangle.
Side lengths 5, 6, 7 form an acute triangle.
Side lengths 3, 4, 5 form a right triangle.
Amelia used 666 liters of gasoline to drive 484848 kilometers.
How many kilometers did Amelia drive per liter?
Answer:
728 km / lit
Step-by-step explanation:
kilometers per liter = kilometers / liters
k/l = 484848 / 666
kilometers per liter = 728
Answer: The answer is 8 kilometers
Step-by-step explanation:
khanacademy
I will give you BRAINLIEST for the correct answer
Answer:
If I got this wrong pls dont get mad but I think the answer 150
The recipe called for a ratio of sugar and flour to be 2 lbs to 9 lbs. If the chef used 18 lbs. of flour, how many pounds of sugar are needed?
Answer:
3/8 lb or 6 oz
Step-by-step explanation:
Bernard had 15 red notebooks, 17 blue notebooks and 19 white
notebooks. He gave some of them to Tom and had 5 left. How
many notebooks did Bernard give Tom?
Answer:
He gave 46 to Tom
Step-by-step explanation:
He started is 51 notebooks- 15 + 17 + 19 = 51
He then gave some away until he only had 5 left 51 - 5 = 46
He gave 46 to Tom
The table shows input and output values of the function y = x2 + 12x – 2. What is an approximate solution of the equation x2 + 12x – 2 = 0?
Answer:
the answer is 0.16 & -12.16
the common endpoint of two rays that form an angle
Answer:
The vertex.
Step-by-step explanation:
. What is the surface area of the rectangular prism? (1 point) 480mm2
427 mm2 213.5 mm2 255 mm2
I need help please no links
Stephanie will be representing her school at the district track meet in the 200 meter race. She has kept records of her last 5 races. What is the mean absolute deviation of her races? Round your answer to the nearest tenth.RaceTime (seconds)123.6225.1324.8422.9524.2Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answer:
119.816
Step-by-step explanation:
Given the data :
123.6, 225.1, 324.8, 422.9, 524.2
Mean absolute deviation (MAD) :
Σ|x - m| / n
m = mean = ΣX / n
n = same size = 5
m = 1620.6 / 5 = 324.12|
[|123.6 - 324.12| + |225.1 - 324.12| + |324.8 - 324.12| + |422.9 - 324.12| + |524.2 - 324.12|] / 5
= 119.816
solve for x. round all answers to the nearest tenth. 22 54
Answer: x= 27.2
Step-by-step explanation:
6(10+z+3) whats the answer i need help and also when someone texts you lol what would you say
PLEASE HELP!!! ASAP
In the figure, j | k and m<1 =
63º.
What is the m<4?
Enter your answer in the box.