Answers
Answer:
Below.
Step-by-step explanation:
(a) Over the first 5 seconds rate of change of speed
= (9-1)/5
= 8/5
= 1.6m/s^2
(b) (21-9)/16-t) = 2
12/16-t = 2
32 - 2t = 12
32 - 12 = 2t
20 = 2t
t = 10 seconds
Step-by-step explanation:
Total Time Taken = 16secs
10a). We're asked to calculate the rate of speed change for the first 5secs.
This is another way of saying "Calculate Acceleration" in the first 5sec of Motion.
Why?
Acceleration is the rate of change of speed or the rate at which speed changes.
acceleration = v - u/t
where v = Final Speed
u = initial Speed.
Looking at the graph
You see that
Initial speed(u) = 1m/s
Final Speed(v) = 9m/s
t = 5secs
Acceleration = 9 - 1/ 5
a = 8/5
a = 1.6m/s².✅
10b)
We're asked to calc "t" from the graph.
Given that the acceleration at "t" untill 16sec(end of motion) is 2m/s².
This simply means that Constant Acceleration was held from "t" to the end of the Motion.
Do not confuse Constant Acceleration for Constant Velocity.
At Constant Velocity... Acceleration is zero(0)
At Constant Acceleration...Velocity Changes Uniformly or at the same rate each second and this is what we're dealing with in this question.
Taking the same step as we used in calculating acceleration above
Given a= 2m/s²
a = v - u/∆t
Where ∆t means time change or difference.
From "t" to 16
The change in time is 16 - "t"
2 = 21 - 9/( 16 - t)
2 = 12/16-t
16-t = 12/2
16 - t = 6
t = 16 - 6
t = 10secs.✅
Have a great Day!.
Related Questions
help me with this ixl pleaseeeeeeeeee
Answers
Step-by-step explanation:
J(-3,9)
k(-10,9)
L(-10,4)
M(-3,4)
5x - 7.4 (x - 3) + 8.1
Answers
Answer:
-2.4x + 30.3
Step-by-step explanation:
5x - 7.4 (x - 3) + 8.1
5x - 7.4x + 22.2 + 8.1
-2.4x + 30.3
The cost of renting the Party Barn is $150 flat fee plus an additional $50 per hour. Manny can spend up to $325 to rent
the Party Barn for his birthday party. What are the possible hours that Manny could rent the Party Barn?
Answers
If the perimeter of a rectangle
is 124m & the width is 35m,
what is the length?
Answers
Let length be x
ATQ
[tex]\\ \sf\longmapsto 2(Length+Width)=124[/tex]
[tex]\\ \sf\longmapsto 2(x+35)=124[/tex]
[tex]\\ \sf\longmapsto 2x+70=124[/tex]
[tex]\\ \sf\longmapsto 2x=124-70[/tex]
[tex]\\ \sf\longmapsto 2x=54[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{54}{2}[/tex]
[tex]\\ \sf\longmapsto x=27m[/tex]
22) solve for x
A) 7
B) -9
C) -10
D) 10
Answers
B
Step-by-step explanation:
AM on total = 1/2
so (x+19)/(x+29)=1/2
2x +38 =x + 29
x=-9
Combine the like terms to create an equivalent expression for −5j+(−2j)+3
Answers
Answer:
-7j + 3
Step-by-step explanation:
Combine like terms:
-5j + (-2j) = -7j
-7j + 3
Answer and Step-by-step explanation:
Simply combine the values together.
-5j - 2j + 3
-7j + 3 is the answer.
#teamtrees #PAW (Plant And Water)
I hope this helps!
The insects, birds, snakes, and plants that live in a local wetland make up a
A. molecule
B. organism
C. population
D. community
Answers
Please help!!!!!!!!!!!
Answers
Answer:
y is larger.
Step-by-step explanation:
Along the same vertical line, 2 points have the same x value. So x=2 and y=4.
Mike sold H hats. Nate sold three times as many hats as Mike. Write an expression for the number of hats Nate sold.
Answers
Answer:
3 times Mike's amount = 3h
Sameer had $600 in his savings account. He wants to have at least $100 in the account
by the end of the year. He withdraws $20 a week for expenses. How many weeks can
Sameer withdraw money? Important! When you multiply or divide by a negative
number, the inequality sign reverses.>+<
amounts in savings - amount per week x number of weeks 2 amount of money at the
end of the year
30 weeks
25 weeks
O
5 weeks
20 weeks
Answers
Answer:
The answer is 25 weeks
Step-by-step explanation:
Let, Number of weeks = x
Now, the required expression is
∴[tex]600-20x\geq 100\\=>-20x\geq -500\\=>20x\leq 500\\x\leq 25[/tex]
Hope you have understood this.....
ask me if you have any confusion.....
if you liked it pls mark it as the brainliest
Solve 4(x + 1) = 4x + 4
Answers
Answer:
x is all real numbers
Step-by-step explanation:
4(x + 1) = 4x + 4
Distribute
4x+4 = 4x+4
Subtract 4x from each side
4x+4-4x = 4x+4-4x
4=4
This is always true so there are infinite solutions
x is all real numbers
There are 20 identical solid hemispheres. The curved surface and the flat surface of each hemisphereare are to be painted red and yellow respectively. Find the ratio of the amount of red paint needed to the amount of yellow paint needed.
Answers
Answer:
2:1.
Step-by-step explanation:
The area of a red curved surface = 2πr^2.
The area of the yellow flat surface = πr^2.
This is the case for all the hemispheres.
Therefore the required ratio = 2πr^2 : πr^2
= 2:1.
5. Based on the graph of the trigonometric function,
what is the amplitudes
Answers
Answer:
[tex]\displaystyle 3[/tex]
Explanation:
[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A|[/tex]
AND
[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A|[/tex]
Accourding to the graph AND the above information, your amplitude is three units. This means each crest is extended three units beyond the midline of [tex]\displaystyle y = 0,[/tex] the centre of your graph, also known as the vertical shift. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
Now, just in case you wanted to know the equation(s) of this graph, look below:
[tex]\displaystyle y = 3sin\:(\frac{\pi}{2}x + \frac{\pi}{2}) \\ y = 3cos\:\frac{\pi}{2}x[/tex]
I am delighted to assist you at any time.
Solve for x.
21)
60°
8x
80°
Answers
Answer:
x = 5
Step-by-step explanation:
Sum of angles = 180, so
60 + 80 + 8x = 180
140 + 8x = 180
8x = 180 - 140 = 40
x = 40/8 = 5
is a=3 b=4 c=2 and d=-2 find the value of 3b²c-2ad
And ac-bd/7
Answers
ac-bd/7=3*2-(4*-2)/7=50/7 but if you mean (3*2-(4*-2))/7=2
Step-by-step explanation:
remember : calculations are usually done from left to right, but multiplications and divisions come before + and -.
and exponents come before multiplications and divisions.
and minus a negative number always turns into plus a positive number.
so,
3b²c - 2ad = 3×4²×2 - 2×3×-2 = 96 - -12 = 96 + 12 = 108
and
ac - bd/7 = 3×2 - 4×-2/7 = 6 - -8/7 = 6 + 8/7 = 7 1/7 ≈ 7.143
Find all values of $x$ such that
\[\frac{2x}{x + 2} = -\frac{6}{x + 4}.\]
Answers
Answer:x_1= -1 or x_2= -6
Step-by-step explanation:
In the pictures
By using factorization, [tex]\[\dfrac{2x}{x + 2} = -\dfrac{6}{x + 4}.\][/tex] , values of x are -2, 3.
What is factorization?Factorization can be defined as the process of breaking down a number into smaller numbers which when multiplied together arrive at the original number.
These numbers are broken down into factors or divisors.
For an integer, factorization is decomposition of that integer in terms of smaller integers which when multiplied with each other give back that considered number and these composing integers are called factors of that considered integers.
Given
[tex]\[\dfrac{2x}{x + 2} = -\dfrac{6}{x + 4}.\][/tex]
Cross multiplication;
2x(x + 4) = 6(x + 2)
[tex]2x^{2} + 8x = 6x + 12\\\\2x^{2} + 8x - 6x - 12 = 0\\\\2x^{2} + 2x - 12 = 0\\\\x^{2} + x - 6 = 0[/tex]
Divide above equation by 2, we get
[tex]x^{2} + x - 6 = 0[/tex]
(x +2) (x-3)
x = -2, 3
Therefore, By using factorization, [tex]\[\dfrac{2x}{x + 2} = -\dfrac{6}{x + 4}.\][/tex] , values of x are -2, 3.
Find out more information about factorization here;
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−1/3−(−1/2)
3 1/3 - 5
−1 4/5−(−2 7/8)
−3 3/8−7/8
4 3/4−(−1 1/12)
I WILL GIVE YOU 20 POINTES IF YOU FINISH THIS BY THE END OF THE DAY
Answers
Hi ;-)
[tex]-\frac{1}{3}-(-\frac{1}{2})=-\frac{1}{3}+\frac{1}{2}=-\frac{2}{6}+\frac{3}{6}=\frac{3}{6}-\frac{2}{6}=\frac{1}{6}\\\\3\frac{1}{3}-5=-(5-3\frac{1}{3})=-(4\frac{3}{3}-3\frac{1}{3})=-1\frac{2}{3}\\\\-1\frac{4}{5}-(-2\frac{7}{8})=-1\frac{4}{5}+2\frac{7}{8}=-1\frac{32}{40}+2\frac{35}{40}=2\frac{35}{40}-1\frac{32}{40}=1\frac{3}{40}\\\\-3\frac{3}{8}-\frac{7}{8}=-(3\frac{3}{8}+\frac{7}{8})=-3\frac{10}{8}=-3\frac{5}{4}=-4\frac{1}{4}\\\\4\frac{3}{4}-(-1\frac{1}{12})=4\frac{9}{12}+1\frac{1}{12}=5\frac{10}{12}[/tex]
What is answer to 3+2•5•8
Answers
Find the probability of “landing” in the shaded region of the figures below. Round your answer to the nearest hundredth.
3. Square with side length 40 ft
Answers
Answer:
Area of the square:
A = a² = 40² = 1600 ft²Area of the circle:
A = πr² = 3.14*(40/2)² = 1256 ft²Probability of landing in the shaded region:
P = 1256/1600 = 0.785 or 78.5%Answer:
78.5%
Step-by-step explanation:
We can find the area of both shapes then divide to find the probability.
Square area:
40 * 40 = 1600ft²
Circle area with diameter [ 1/4πd² ]:
1/4π(40)²
1/4π(1600)
0.785(1600)
1,256
Now divide both areas to find the probability.
1256/1600 = 0.785
0.785 * 100% = 78.5%
Best of Luck!
please please please help me.
Answers
Answer: sorry i just know no.2
Step-by-step explanation:
2) = soln
h = ?
p = 5
b =9
[tex]h^2 = p^2 + b^2\\h^2 = 3^2 + 9^2\\or, h^2 = 9+81\\or, h^2 = 90\\so, h = \sqrt{90} \\\\[/tex]
Let the angle be x
so
tan x = p/b
tan x = 5/9
x = [tex]tan^{-1} (5/9)[/tex]
so, x = 29.054
rounding off to ten
x = 29.1
now
let the another angle be y
so
90+y+29.1 = 180
29.1 + y = 180-90
y = 90-29.1
so, y = 60.9
the missing side is √90 and missing angles are 29.1° and 60.9°
the marked price of a watch is rs 2700.If allowing 2V% discount on the marked price and adding V% vat, the value of the watch will be rs 2376.Find the rate of vat.
Answers
Step one:
given data
The marked price of a watch is Rs.2700
The value of the watch after adding VAT is Rs.2376
let us find the discount
= 2700-2376
=324
then the percentage discount is
=324/2700*100
=0.12*100
=12%
What is the value of a in the equation 3a+b = 54, when b = 9?
O 15
O 18
18 k
O 21
O 27
Answers
Answer:
15
Step-by-step explanation:
Write a word problem for this equation: $14 - x = $3
Answers
Answer:
$14 - x = $3
Step-by-step explanation:
$14 - x = $3
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1111111111111
Find f(-3) if f(x) = -2x^2 + x + 3 and g(x) = -2x + 1
HELP please explain how to do it
Answers
Since you're trying to find f(-3), your function that you have to plug -3 into will be f(x).
f(-3) = -2(-3)^2+(-3)+3
f(-3) = -2(9)+(-3)+3
f(-3) = -18-3+3
f(-3) = -18 is your final answer
The price of an item has dropped to $ 27 today. Yesterday it was $60. Find the Percentage decrease.
Answers
Answer:
55% decrease
Step-by-step explanation:
60 - 27 = 33
33 / 60 = 55
Trapezoid p is the image of trapezoid P after a translation. Y 7+ . р на дъл от - 1 -7-6-5-4-3-2-1 -2+ 11 2 3 4 5 6 7 1 PY 1 - - -51 -67 Which statement correctly describes the translation of trapezoid P to create the image Pl? A. 3 units to the right and 5 units down B. 4 units to the right and 1 units down O C. 8 units to the right and 5 units down D. 9 units to the right and 6 units down
Answers
Answer:
C. 8 units right and 5 units down
Step-by-step explanation:
since it's only a translation, take one point as an example. lets say the bottom right point on trapezoid P is point A, and the translated point on P' is A'. the coordinates of A are (-3,2) while the coordinates of A' are (5,-3). (-3+x,2+y)=(5,-3). -3+x=5, x=8; 2+y=-3, y=-5
50 m + 4 % please help
Answers
Answer:
52 meters
Step-by-step explanation:
each percent is 1, so 50m plus 4 percent equals 52
Consider the points (5,0) and (0,3). Plot the points and find the distance between them. Give your answer both in exact form and as a decimal approximation.
Answers
Answer:
(5;3)
Step-by-step explanation:
Give your answer both.
The distance between the points (5, 0) and (0, 3) is approximately 5.83095 units.
To find the distance between two points, we can use the distance formula:
Distance = √[tex]((x_2 - x_1)^2 + (y_2 - y_1)^2)[/tex]
Given the points (5, 0) and (0, 3), we have:
[tex]x_1 = 5, y_1 = 0\\\\x_2 = 0, y_2 = 3[/tex]
Substituting these values into the formula:
Distance = √[tex]((0 - 5)^2 + (3 - 0)^2)[/tex]
Distance = √[tex]((-5)^2 + (3)^2)[/tex]
Distance = √(25 + 9)
Distance = √34
The exact distance between the points is √34, which is approximately 5.83095 when rounded to five decimal places.
So, the distance between the points is approximately 5.83095 units.
To know more about distance, refer here:
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300 divided by 6 times to the 2nd power divided by 3.14, i need help.
Answers
Answer:
Step-by-step explanation:
300÷6x²÷3.14=2.6539278131634819533
f=vu÷v+t,find v if f=20 and u=5
Answers
Answer:
v=20/3
See IMAGE FOR SOLUTION
In the given expression f = uv /(v+t) value of v in terms of t is *4/3t.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given an expression f = uv /(v+t)
Also given
f = 20
u = 5
Hence, From the expression
f = uv /(v+t)
=> 20 = 5v/(v + t)
Simplifying in the terms of v
20v + 20t = 5v
15v = -20t
v = -4/3t
Therefore, the value of v in the given expression is -4/3t.
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