The table which most likely relates the height h(t), in meters, over time, t, in seconds is: Option D:
t (in seconds) h(t) (in meters) 0 180 2 160.4 4 101.6 6 3.6What are the values the height function can achieve if the object is always above the ground?If the height function is function of time 't', and the object's height is measured from the ground level and object never goes inside ground, then that means height can never be negative. It will always assume non-negative values.
What are equations of motion?There are three equations of motion that can be used when motion of the object is under constant acceleration and on a straight path.
They are listed below as:
[tex]v = u + at\\\\s = ut + \dfrac{1}{2} at^2\\\\v^2 = u^2 + 2as[/tex]
where the symbols have following meanings:
u = initial velocity of the considered objectv = final velocity of the objecta = acceleration of the objects = distance traveled by the object in 't' time.All the tables given except the last table have negative height values. That shows that if those negative valued tables are true, then the ball went inside ground.
Since no such event of ball going inside the ground is specified in the considered situation, thus, only the last table is valid here in terms of sign of height.
The last table is:
t (in seconds) h(t) (in meters)
0 180
2 160.4
4 101.6
6 3.6
Checking the truthfulness of the last table by using law of motion in straight path:
u = initial velocity of ball = 0
a = gravitational acceleration = -g ≈ -9.8 m/s sq.
Now, height of ball at time t = initial height of ball - distance it traveled from starting point in direction of reaching ground.
Thus, h(t) = 180 - |s| (assuming first value is true in the table)
where |s| = non-negative value of s
[tex]s= ut + (1/2)at^2\\s = 0t + (1/2)(-9.8)t^2\\\\|s| = 4.9t^2 \: \rm m/s^2[/tex]
Thus, h(t) = 180 - 5t² m/s sq.
[tex]h(2) = 180 - 4.9(2)^2 = 160.4\\h(4) = 180 - 4.9(4)^2 = 101.6\\h(6) = 180 - 4.9(6)^2 = 3.6\\[/tex]
Thus, the table which most likely relates the height h(t), in meters, over time, t, in seconds is: Option D:
t (in seconds) h(t) (in meters) 0 180 2 160.4 4 101.6 6 3.6Learn more about equations of motion here:
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write the decimals and percents illustrated by the pictures below!
can someone pls give me the decimal and percent for this one? thanksn
Answer:
Decimal: 0.49
Percent: 49%
Step-by-step explanation:
There is 49 blocks shaded out of 100 blocks.
49/100=
0.49
49%
Consider the function f(x)= – 8x^2+ 1x – 14
Evaluate f( - 13)
Answer:
f(-13)=-1379
Step-by-step explanation:
f(-13)=-8(-13)^2+1(-13)-14
f(-13)=-8(169)-13-14
f(-13)=-8(169)-27
f(-13)=-1352-27
f(-13)=-1379
square root of y plus cubic root of y is equal to twelve
Answer:
[tex]\sqrt{y} +\sqrt[3]{y} =12[/tex] if this is your question the answer is y=64
x/3 = 11. i can’t find this one out so help would be good
Showing all necessary working out, evaluate 7/10 - 1/4
Answer:
[tex]\frac{9}{20}[/tex]
Step-by-step explanation:
[tex]\frac{7}{10}-\frac{1}{4}[/tex]
Find lcm : 20
[tex]=\frac{14}{20}-\frac{5}{20}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}[/tex]
[tex]=\frac{14-5}{20}[/tex]
[tex]\mathrm{Subtract\:the\:numbers:}\:14-5=9[/tex]
[tex]=\frac{9}{20}[/tex]
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Two identical rectangular prisms and two identical cubes are joined. Answer the questions to find the new solid’s surface area. The numbers are 9 and 4
The surface are of the new solid formed by the joining of two identical cubes having a surface area of 294 cm² is: 490 cm²
What is the Total Surface Area of a Cube?Total surface area of a cube = 6a², where a is the length of each of the sides.
Given:
Surface area of each identical cube = 294 cm²
Find the length of each side:
6a² = 294
a² = 294/6
a² = 49
a = √49
a = 7 cm
Surface area of the new solid = surface area of the two identical cubes - 2(area of the surface where both are joined)
Surface area of the new solid = 2(294) - 2(7²) = 490 cm²
Learn more about surface area of cube on:
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ASAP!! I need help. -w-Which answer choice shows 5 +0.9 + 0.06 written in standard form?
OA) 0.0596
OB) 0.596
OC) 5.96
OD) 59.6
Answer:
Hey!
Your answer is 5.96!
Step-by-step explanation:
5 + 0.9 = 5.9
IF WE ADD 0.06...it makes 5.96
(the 6 is in the hundredth column so it goes AFTER the 9)
This fives us 5.96!
I HOPE THIS HELPED YOU!which of the following is a quadratic inequality
y>x3+x2
y
y2+3x+4
Answer:
y>x3+x2
Step-by-step explanation:
it has the greater than sign
How much can a computer technician earn in two
years? Assume there are no raises in that time.
Helpppppppp
Answer:
$72,920
Step-by-step explanation:
36,460 x 2 = 72,920
The formula to find the volume of a sphere is V=3.14r^3 where r is the
radius of the sphere. What is the formula in terms of r?
PLEASE HELP!
divide by 3.14 on both sides first.
V/3.14 = r^3
Now cube root both sides.
3√(V/3.14) = r
r = 3√(V/3.14)
r is the cube root of v/3.14.
Match each set of numbers with their least common multiple.
504
288
84
44
200
108
22 and 4=
9, 8, 7=
27, 12,,36=
25 , 8=
14 ,12=
32, 24 18=
Answer:
22 and 4 = 44 9, 8, 7= 504 27, 12, 36= 108 25, 8= 200 14, 12= 84 32, 24, 18= 288
Step-by-step explanation:
Can someone explain me how to do this? I am so stress trying to figure out, I’m kinda complicated to understand but i will try my best to understand you when you answer
Answer:
32ft^2
Step-by-step explanation:
length (l)=3ft
breath (b)=2ft
height (h)=2ft
We know that,
surface area (A)=2(lb+lh+hb)
=2(3*2+3*2+2*2)
=2(6+6+4)
=2(16)
=32ft^2
Mark me as brainlist. Hope this helps you.
Eli has a loan of $3500 This loan charges 5% interest compounded annually. what is the amount of interest that Eli will be charged on this loan at the end of four years round to the nearest cent
Answer:
754.27
Step-by-step explanation:
Use coumpound interest formula A=p(1+r)^t
Convert 5% into a decimal (move decimal over to times to the left making it .05)
Plug in numbers A=3500(1+.05)^4
Then you get $4254.27
Subtract by priciple of 3500 and you get left with 754.27
Find the value of f(-3) if f(x) = -3x + 7
Answer:
f(-3) = -3(-3) + 7
= 9 + 7
= 16
Tell whether each of the following statements about the diagram is true or false by pressing the hotspot.
Answer:
1. false
2.true
3.true(im kinda iffy on that one but i think its right)
Answer:
false true true
Step-by-step explanation:
I'm pretty sure
Bert has already read 5 pages, and he knows he can read 11 more pages during every additional hour he spends reading. In all, how many hours of reading will Bert have to do this week in order to have read a total of 49 pages?
Answer:
4 hours
Step-by-step explanation:
11 x 4 equals 44 plus he read 5 pages so its 49
Answer:
4 hours
Step-by-step explanation:
11 times 4 =44 and than that will be the answerPLEASE HELP!!
Question: Select All Equations Where C=9
Is A Solution
*Choose 2 Answers*
Answer: d and e
Step-by-step explanation:
a) 4 - 9 = 5 FALSE
b) 20 = 14 + 9 FALSE
c) 15 = 9 - 6 FALSE
d) 9 divided by 3 = 3 TRUE
e) 36 = 4 x 9 TRUE
Answer is D and E
Step-by-step explanation:
Option D u will multiply each side by the LCM which is 3 and u will get the answer to be C=9
option E u will divide both side by 4 and u will get the answer to be C=9
a recipe calls for 12 ounces of raisin. raisins come in boxes of 170 g. how many boxes of raisins are needed for the recipe?
Hi there! Hope this helps, and if it does, please mark brainliest!
Answer:
2 boxes
Step-by-step explanation:
There are roughly 28 grams in an ounce. So if you have 12 ounces, times 28 by 12, which is 336, so you need 336 grams of raisins. Divide by 170, the number of grams in one box, which would be 1.98 boxes, but you have to round up, so you would need two boxes.
At the market, Joey buys 3 avocados for $0.40 Each and 5 lemons for $0.40 each. The cashier in training rings up 3x0.40 and then 5x0.40 to get the total. The experienced cashier says to add the 3 plus 5 in his head and then ring up 8x0.40. What property says that these two totals would be the same
Answer:
Distributive property
Step-by-step explanation:
Distributive property states that,
multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
That is,
a(b + c) = ab + ac
3 avocados cost $0.40 each
3x0.40
= $1.2
5 lemons cost $0.40 each.
5x0.40
= $2
Total = $1.2 + $2
= $3.2
Using distributive property
(3+5)0.40
= 8(0.40)
= $3.2
Answer: Distributive property
Step-by-step explanation:
The Distributive property is the same as a(b + c) = ab + ac
How many colors are there (estimate)
Answer:
There is very very very near 1,000,000 (shades included in those colors)
Step-by-step explanation:
Hi!there are about 18 decillion colors.So how do we know there are 18 decillion colors? First of all, scientists have determined that in the lab we can see about 1,000 levels of dark-light and about 100 levels each of red-green and yellow-blue. So that's about 10 million colors right there. And then you have to allow for other matters.
2/3 divided by 1/4? Thank you
Answer:
2.66666666667
Step-by-step explanation:
two over three divided by one over four is 2.66666666667
A) make a mark at (-3. 5,-4)
b) make a mark at (0,-4. 5
Answer:
see attached
Step-by-step explanation:
Points are plotted on a coordinate grid by recognizing the meaning of the numbers in the ordered pair.
The first number is the x-coordinate, the horizontal distance from the y-axis. The second number is the y-coordinate, the vertical distance from the x-axis. Positive numbers indicate "right" or "up". Negative numbers indicate "down" or "left."
A)The mark is 3.5 units left of the y-axis and 4 units down from the x-axis.
__
B)The mark is neither left nor right of the y-axis, so is on the y-axis. It is 4.5 units down from the x-axis.
Marisa gets paid $50 for 5 hours of work. What is the hourly rate
Answer: whats the question 10 dollars an hour ?63 dollars total ? ... Marisa gets paid $50 for 5 hours of work and charges an initial fee of $13.
Step-by-step explanation: i hope this help =)
Answer:
$10
Step-by-step explanation:
Marisa gets paid $10 and hour. I know this because if she gets paid $50 for 5 hours, then divide 50 by 5 to get 10.
Hope this helps! :)
PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP
Have a blessed day and remember to keep smiling :)
Find the missing angle?
65°
Select the correct answer. Find the solution(s) for x in the equation below. x2-9x+20=0
what is an equation of the line through (3, -1) and (2, 14)?
Step-by-step explanation:
no explanations.I have done the whole sum
Which answer shows 0. 00897 written in scientific notation? 0. 897 times 10 Superscript negative 2 8. 97 times 10 Superscript negative 3 8. 97 times 10 Superscript negative 2 8. 97 times 10 Superscript 3.
Answer:
c i think
Step-by-step explanation
not 100% tho
WILL GIVE BRAINLIEST PLZ ANSWER!!
The jelly bean jar has a square
base with a length and width of
12.5 cm and a height of 17 cm.
What would be a reasonable
upper limit for the number of
jelly beans in the jar?
A.1
B.10
C.100
D.10,000
Answer:
A.1
Step-by-step explanation:
those jelly beans are big.. its either 1 or 10 like 17cm is as long as your hand(just your hand and fingers not ur arm)
so A.
The reasonable upper limit of the bean jar is the same as the height of the jar so it will be 17cm so none of the given options will be correct.
What is volume?Volume is the scalar quantity of any object that specified occupied space in 3D.
For example, the space in our room is referred to as volume.
The volume of cuboid = length × height × width.
The volume of the cube = side³.
Given a jar with a square base
Length = 12.5 cm
Width = 12.5cm
Height = 17 cm
The jelly beans will cover all heights of the jar so the maximum height of the jelly will be the same as the height of the jar.
Hence "The reasonable upper limit of the bean jar is the same as the height of the jar".
To learn more about volume,
https://brainly.com/question/1578538
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A line passes through the point (-2, 6) and has a slope of 6.
Write an equation in point-slope form for this line.
Answer:
y = 6x + 18
Step-by-step explanation:
so first write y = 6x + b (because you have the slope) now to find the y-intercept input the point (-2, 6) and do algebra
6 = 6(-2) + b
6 = -12 + b
b = 18
PLS HELP IL GIVE BRAINLYEST (100 PTS FOR ANSWER)
PLS DONT ANSWER IF YOU DONT KNOW THE ANSWER
Drag each tile to the correct box. Not all tiles will be used.
Simplify the expression by arranging the steps in sequence, based on the order of operations.
~Shoto Todoroki here~
-first tile-
-third tile-
(5x+x)=(4-9)
6x-5
hope this helps :D