A leaf hangs from a branch 12 feet in the air. It falls to the ground at a rate of 0.25 feet per second. Which graph could represent the leaf’s height in feet as a function of time, in seconds, after leaving the branch?
Answers
Answer:
No graphs was presented but its the last one shown in the photo
The leaf's height as a function of time is determined as h(t) = 12 - 0.25t - 4.9t².
Equation for the motion of the leaf
The equation for the motion of the leaf is calculated as follows;
h = vt + ¹/₂gt²
where;
h is the height of fallv is the initial velocityt is the time of motionThe leaf's height as a function of time is given as;
h(t) = 12 - 0.25t - 4.9t²
Due to presence of gravity, the decline in the height of the leaf will be gradual.
Learn more about height of fall here: https://brainly.com/question/15611384
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Related Questions
if EF = 2x - 12, FG = 3x - 17, and EG = 26, find the values of X, EF, and FG.
Answers
Answer:
Step-by-step explanation:
2x - 12 + 3x - 17 = 26
5x - 29 = 26
5x = 55
x = 11
2(11) - 12 = 22 - 12 = 10 EF
3(11) - 17 = 33 - 17 = 16 FG
In the diagram, which pair of angles are vertical angles?
A transversal intersects 2 lines to form 8 angles. Clockwise from the top, the angles are 1, 2, 3, 4; 5, 6, 7, 8.
Angle 1 and Angle 2
Angle 4 and Angle 6
Angle 6 and Angle 8
Angle 5 and Angle 3
Answers
Step-by-step explanation:
Vertical angles are angles that are directly opposite to each other and are equal in magnitude.
Angles 6 and 8 are vertical angles.
Answer:
B
Step-by-step explanation:
yw
Which of the following is equivalent to 17g – 2g?
Answers
Answer:
Step-by-step explanation:
what following?
Write all names that apply to each number. Then place the numbers in the correct location on the Venn diagram.
Answers
It can help us answer it.
A square of an unknown side length x inches has one side length increased by 4 inches and the other increased
by 7 inches
(a) If the original square is shown below with side lengths marked as x, label the second diagram to represent the new rectangle constructed by increasing the sides as described above.
Answers
Answer:
Length of new rectangle = (x + 7) inches
Width of new rectangle = (x + 4) inches
Step-by-step explanation:
A rectangle is a quadrilateral that has opposite sides to be parallel and equal. While a square has all its sides to be equal.
Given that: the square has unknown side length x inches.
Increasing one of its length by 4 inches = (x + 4) inches
Increasing the other by 7 inches = (x + 7) inches.
The new lengths results to a rectangle with length (x + 7) inches, and a width of (x + 4) inches.
the label diagram to represent the new rectangle is shown in the diagram attached to this answer.
what is the slope that passed through -3,6 and 5,1 ?
Answers
Answer: m=-5/8
Step-by-step explanation:
9x-4=3x-28 step by step
Answers
Answer:
Step-by-step explanation:
9x-4= 3x-28
We simplify the equation to the form, which is simple to understand
9x-4=3x-28
We move all terms containing x to the left and all other terms to the right.
+9x-3x=-28+4
We simplify left and right side of the equation.
+6x=-24
We divide both sides of the equation by 6 to get x.
x=-4
Give 3 negative numbers and 2 positive numbers with the sum of 30.
Answers
For what value of c is the relation a function?
{(2,8). (12,3).(0,4).(-1,8).(0,3)}
Answers
Answer:
c is 2,7
Step-by-step explanation:
How many lines of symmetry does the figure have?
Answers
If this is the triangle then it has 3 like the practice if you did it if not three lines of symmetry
A car is bought for $22,000. 5 years later it is worth $14,000
a)Write the linear model for this situation
b) How many years will it take for the car to be worth $7,000?
c)In 12 years how much will the car be worth?
Answers
Answer:
b) around 6 years
c) around 2,500
Step-by-step explanation:
HELP ASAP PLEASE I DONT WANT TO FAIL
Michael had saved $257.40; he had deductions of $21.82 for dinner and $ 150.32 for clothes he purchased. After receiving his monthly allowance of $45, how much money does Michael have?
Answers
Answer:
$226.57
Step-by-step explanation:
You are given the dollar value of a product in 2016 and the rate at which the value of the product is expected to change during the next 5 years. Use this information to write a linear equation that gives the dollar value V of the product in terms of the year t. (Let t = 16 represent 2016.)
2016 Value. $1850. Rate. $250 increase per year
Answers
Answer:
2071
Step-by-step explanation:
let t-16 then you multiple that by 4 and there is your answer 2071
Lin is delivering a package to a place located at 5,3 on the grid which house is getting the delivery
Answers
Answer:allen
Step-by-step explanation:
Lin is delivering a package to a place located at (5,3) on the grid.
Which house is getting the delivery?
Answer: Lin's
Lins is getting the delivery
Step-by-step explanation:
All you have to do is follow the directions that are being giving.
what would be the integer of 30/3?
Answers
Answer:
30
Step-by-step explanation:
if wrong plz tell me
After Patrick spent 1/4 of his paycheck on a coat, he had $100 left. What was the cost of his coat?
Answers
Answer:
$100
Step-by-step explanation:
you divide 100 by .25 to equal 400 then take 400 - .25 = 100
can someone help me me answer this question please and thankyou!??
Answers
12 + 2 - (4 × 25) ÷ 7 + 1
12 + 2 - 100 ÷ 7 + 1
12+2-100/7+1
15-100/7
Equal 5/7
Rise over run 5 is rise and 7 is run
Which of the following is a correct name for plane R below? * Which of the following is a correct name for plane R below? * plane m plane SPT plane SPQ plane SPV plane m plane SPT plane SPQ plane SPV
Answers
Answer:
Plane SPT and Plane SPV
Step-by-step explanation:
A plane is defined by the set of three points lying on the same (two dimensional) surface.
A plane 'R' has been given in the picture.
Points lying on this plane or surface are S, P, T and V.
Therefore, possible names may be,
SPT, STV, SPV, PTV
From the given options names of the plane R will be,
Plane SPT and Plane SPV,
Is -2 a solution for a in the inequality 2a +6 > a
Answers
Answer:
a > −6
Step-by-step explanation:
Step 1: Subtract a from both sides.
2a + 6 − a > a − a
a + 6 > 0
Step 2: Subtract 6 from both sides.
a + 6 − 6 > 0 − 6
a > −6
What is the solution to the system of equations graphed below?
Answers
Answer:
A) (1,-2)
Step-by-step explanation:
the answer to a system of equations is where the 2 lines intersect and that would be at (1,-2)
Express 6^1/3 in simplest radical form.
Answers
Greetings from Brasil
From radiciation properties:
[tex]\large{A^{\frac{P}{Q}}=\sqrt[Q]{A^P}}[/tex]
bringing to our problem
[tex]\large{6^{\frac{1}{3}}=\sqrt[3]{6^1}}[/tex]
∛6The requried radical form of the given expression is ∛6.
What is radical form?Radical form is mathematical expression that represents the value under the nth roots.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Following the rule [tex]\sqrt[n]{x} = x^{1/n}[/tex]
Similarly,
[tex]6^{1/3} = \sqrt[3]{6}[/tex]
Thus, the requried radical form of the given expression is ∛6.
Learn more about simplification here:
https://brainly.com/question/12501526
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What type of line is the x-axis
Answers
Answer:
Does this help
Step-by-step explanation:
A coordinate grid has two perpendicular lines, or axes, labeled like number lines. The horizontal axis is called the x-axis. The vertical axis is called the y-axis. The point where the x-axis and y-axis intersect is called the origin.
Answer:
horizontal
Step-by-step explanation:
find the varible for 6-2x=6x-10x+18
Answers
Answer:
x=6
Step-by-step explanation:
If x = 3y and y = 9, what is the value of 3x – 2?
Answers
Answer: 79
Step-by-step explanation: Lets first deal with the X. The equation would be 3 X 3 X 9. This answer is 81. Next we have 81 - 2. Therefore, our answer is 79. Do multiplacation first as M is before S in peMdaS.
Answer:
79
Step-by-step explanation:
x = 3y and y = 9
This means x = 3*9 = 27
3x -2
3 * 27 -2
81 -2
79
- 8 = 6(x - 4) What is the slope of the line described by the equation?
Answers
Answer:
the slope is undefined
Step-by-step explanation:
If 3x + 13 = 19, find the value of 2x + 1. 2x + 1 =
Answers
Answer: 7.4
Step-by-step explanation:
3x + 13 = 19
3x = 6
x = 2
Now substitute value of 'x' in the second equation:
2(2) + 1.2(2) + 1
= 4 + 2.4 + 1
= 5 + 2.4
= 7.4
Answer:
7.4
Step-by-step explanation:
The value of X is 2, so 3*2=6 6+13=19
So the second equation is 2*2=4 4+1.2*2=6.4 6.4+1=7.4
Hope this helps =3
How can I subtract 3x from both sides? Explanation and answer
Answers
Its not must that 3x have to be the one to be subtracted. You could take 8x as well.
But always subtract from the smaller one (in this case 3x) because its easier.
If you are subtracting 3x-3x and 8x-3x, the equation would be like
4 = 5x - 16
5x = 4+16
5x = 20
x = 4
Please help. I suck at math. Can someone simply the expression -3x-7(x+4)?
Answers
Answer:
[tex] - 3x - 7(x + 4) \\ = - 3x - 7x - 28 \\ = - 10x - 28[/tex]
hope it helped you:)
Answer:
[tex]-10x-28[/tex]
Step-by-step explanation:
[tex]-3x-7(x+4)[/tex]
Expand by using distributive law: [tex]a(b+c)=ab+ac[/tex]
Therefore,
[tex]-3x-7*x+\left(-7\right)\cdot \:4[/tex]
[tex]-3x-7x-7\cdot \:4[/tex]
[tex]-3x-7x-28[/tex]
Add the x:
[tex]-10x-28[/tex]
I just need to know the first 8 quick bc it’s almost due thanks!!
Answers
Given RT below, if S lies on RT such that the
ratio of RS to ST is 3:1, find the coordinates
of S.
Answers
Answer:
(-2, -3)
Step-by-step explanation:
If a segment having extreme ends as [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is divided by a point (x, y) in the ratio of m:n,
x = [tex]\frac{mx_2+nx_1}{m+n}[/tex]
y = [tex]\frac{my_2+ny_1}{m+n}[/tex]
Since, a line RT has extreme ends as R(-5, 3) and T(-1, -5) then a point S(x, y) which divides RT in the ratio of 3 : 1 will be,
x = [tex]\frac{3(-1)+1(-5)}{3+1}[/tex]
= [tex]\frac{-8}{4}[/tex]
= -2
y = [tex]\frac{3(-5)+1(3)}{3+1}[/tex]
= [tex]-\frac{12}{4}[/tex]
= -3
Therefore, coordinates of the point S will be (-2, -3).
