Answers:
The forces have opposite directions
The forces have equal magnitudes
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Explanation:
Imagine a bucket of water being held up by a rope.
Gravity pulls down on the bucket with a constant force. The reason why the bucket doesn't fall to the ground is because the tension in the rope is holding it up.
More specifically, the force of the rope's tension is exactly matching the force of gravity. So we have equal magnitudes here. However, the force vectors point in complete opposite directions. Gravity points down and the tension of the rope points up. The two opposite directions cancel out to create balance and that's why the object doesn't move. It has velocity = 0 which is considered a constant velocity even though it's not something like 3 m/s.
If the forces acted in the same direction, then the magnitudes would add up to accelerate the object (either downward or upward). However, the bucket stays fixed in place, so it's clear that the vectors must be opposite in nature.
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Now consider a skydiver. At some point of the descent, the skydiver will hit terminal velocity. This is the fastest s/he can fall because the force of gravity pulling down counterbalances perfectly with the upward force of wind/air resistance pushing upward. The air is resisting the downward motion being a form of friction. In this case, the magnitude of the gravitational force is the same as the magnitude of the upward air resistance.
Unlike the bucket of water, the skydiver is of course moving. They are moving at a constant velocity since they cannot accelerate any faster. Hence the name "terminal" meaning "the final or ending velocity". It is when the parachute is deployed that will apply a much greater upward force, which then slows down the downward velocity to allow the skydiver to safely land.
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In both examples, we have a constant velocity happening when the vectors pull in equal amounts but in opposite directions. Think of it like a tug-of-war to keep everything balance. If there is an imbalance of any kind, then acceleration will happen.
Calculate the shaded area
Answer:
116 cm²
Step-by-step explanation:
area shaded = total area - area not shaded
πr² is the area of a circle
total area = πr² = π*(6.5cm)² = 132.732289614 cm²
area not shaded = πr² (note the radius is 2.3cm for the non-shaded portion) = π*(2.3cm)² = 16.6190251375 cm²
area shaded = total area - area not shaded = 132.732289614 cm² - 16.6190251375 cm² = 116.113264476 cm² ≈ 116 cm²
Help. (The 25. Is the question number.)
Basically, just plug in the expressions into the formula and simplify:
[tex]A = \frac{1}{2}*(3ab)*(7a^2b+11a^2b) = \frac{3}{2}ab*(18a^2b) = 27a^3b^2[/tex]
A circle is drawn on the (x,y) coordinate plane so that the center is at the point (-3,0). If the radius of the circle is 5, then each of the following points lie on the circle's circumference EXCEPT:
Answer:
2,5
Step-by-step explanation:
since radius is 5
each point lies on the circumference that has 5 or -5 in its y coordinates must have -3 in its x coordinate because -3 is the center
then option number 1 is incorrect
second option is correct , -3 + ( -5 ) = -8
third option is correct, -3 + 5 = 2
fourth is correct, -3 is the center and 5 steps on y axis
fifth is the same as fourth but opposite direction
so the first one is the exception
$2.50 per 5 cans, find the price per can.
Answer: 50 cents per can
Step-by-step explanation: you do 2.50 divided by 5
Answer:
50 cents per can
Step-by-step explanation:
use a calculator and divide 2.50 by 5
What is the value of x and y
A x=6.15, y=7
B x=2, y=5
C x=8, y= 9
D x=2✔️14, y= 2✔️10
Answer: D
Step-by-step explanation:
What is the y intercept of the line y=.8x+3
Answer:
(0,3)
Step-by-step explanation:
to find the y-intercept, you plug 0 into the x, so
y=.8(0)+3
y=0+3
y=3
Suppose the sample space for a continuous random variable is 0 to 400. If
the area under the density curve for the variable from 0 to 72 is 0.18, what is
the area under the density curve from 72 to 400?
A. 0.92
O B. 0.18
O C. 0.82
D. 0.982
Answer:
P(72 ≤ x ≤ 400) = 0.82. Correct: C.
Explanation:
Probability Distribution
In any probability distribution, the total probability of the sample space must be 1.
Since the sample space is given as a random variable x that takes values from 0 to 400, then:
P(0 ≤ x ≤ 400) = 1
For any value of x:
If the sample space is divided into two parts like:
P(0 ≤ x ≤ 72) and P(72 ≤ x ≤ 400), then the combined probability must be 1:
P(0 ≤ x ≤ 72) + P(72 ≤ x ≤ 400) = 1
Or, equivalently:
P(72 ≤ x ≤ 400) = 1 - P(0 ≤ x ≤ 72)
P(72 ≤ x ≤ 400) = 1 - 0.18
P(72 ≤ x ≤ 400) = 0.82
A. The value 0.92 is not correct since does not match with the value 0.82.
B. The value 0.18 is not correct since does not match with the value 0.82.
C. This is the correct value. Correct Choice
D. The value 0.982 is not correct since does not match with the value 0.82.
Answer: .82
Step-by-step explanation:
Took the test
help! how do I solve 3 and 4 ASAP
Rs 7.65 + Rs 8.65please solve this for me
Answer:
16.30
Step-by-step explanation:
It is 16.30 because 8.65+7.65 = 16.30
plz answer this is urgent.
Answer: 9 subtracted from y and multiplied by 2
Answer:
2y subtracted from 9
I hope this answer is correct.
Solve step by step -18=2(-q+4)
Answer:
q=13
Step-by-step explanation:
First, you can multiply to distribute 2 over -9 and 4.
-18=2(-q+4)
-18=-2q+8
Then, you can subtract 8 from both sides.
-18=-2q+8
-26=-2q
Finally, you can divide -2 on both sides.
13=q
Now, you can check by plugging in 13 for the value of q in the original equation.
-18=2(-(13)+4)
-18=2(-13+4)
-18=2(-9)
-18=-18
Hope this helps you! :)
Can someone help?
Find the product. Write your answer in factored form.
Answer:
2x+8/x^2-x-6
Step-by-step explanation:
=x^2+4x-1x-4
=(x-1)(x+4)
=x^2+2x+2x+4
=(x+2)(x+2)
=x^2-3x-1x+3
=(x-1)(x-3)
= (x-1)(x+4)/(x+2)(x+2) x 2x (x+2)/(x-1)(x-3)
= (x+4)(2)/(x+2)(x-3)
= 2x+8/x^2-x-6
Restrictions:
x cannot = -2, 1, 3,
Ali earns 150$ in 4 hours at this rate how many hours will it take him to earn 525
Answer:
14 hours
Step-by-step explanation:
Find the rate of what he earns per hour.
150 ÷ 4 = $37.50
Divide $525 with the rate:
525 ÷ 37.50 = 14
It would take him 14 hours
I will mark brainliest the first 2 people that answer my question first
Answer:
I believe it is 136° hope it helps
PLEASE READ AND HELP!
My indoor kitty got out and I don't know how to find her, if you have any tips and tricks that would mean the world to me. I just need her, my older and baby brother are attached to her.
She has no tracker or collar.
Answer:
You should take help from your friend in searching her
Step-by-step explanation:
If you have photo then, you must ask other to help you.
I Don't know what to do
But maybe this will be helpful
Karen, Justin, and Austin sent a total of 94 text messages during the weekend. Austin sent 2 times as many messages as Karen. Justin sent 6 fewer messages than Karen. How many messages did they each send?
Number of text messages Karen sent:
Number of text messages Justin sent:
Number of text messages Austin sent:
Answer:
Karen: 16
Justin :18
Austin:36
Step-by-step explanation:
you don’t need one- I’m smart soooo-
PLEASE HELP thanks!!
Answer:
b = 70
b = a = 70
b = c = 70
Step-by-step explanation:
snice b and 70 are opposite the top; they are equal.
b and a are alternate internal they are again equal so a is 70.
and finally a is equal with c because they are opposite at the top.
I hope I helped you! :)))
i will mark brainliest!
Please help! Find the value of x in the triangle. Then classify the triangle as acute, right, or obtuse. Problem is below!
Answer:
83, acute
Step-by-step explanation:
49 + 48 + x = 180
97 + x = 180
x = 83
All angles are smaller than 90 so they all are acute and that makes this trinagle an acute triangle. So cute! :)
Have a great day!!
Please rate and mark brainliest!!
if f(x)=3[tex]x^{2}[/tex]-4, find f(-3)
Answer:
[tex]\sf f(-3) = 23[/tex]
given:
[tex]\sf f(x) = 3x^2 -4[/tex]
to find the output, replace x with the given integer.
solve:
[tex]\sf f(-3) = 3(-3)^2 -4[/tex]
[tex]\sf f(-3) = 3(9) -4[/tex]
[tex]\sf f(-3) = 27 -4[/tex]
[tex]\sf f(-3) = 23[/tex]
3m+8=15, is it quadratic or not quadratic? If your answer is not quadratic, explain.
3m + 8 = 15 is not a quadratic equation. quadratic equation must have the power of 2 in the quadratic term.
Answer:
Definitely not.
Step-by-step explanation:
3m+8=15
A quadratic equation needs to consist of these values:
x^2+x+y
In this case x can be followed by any coefficient but needs to end with a variable to the power of 2. The second part of this question needs to have that variable- but to no power. Finally, the third part is just a regular integer. We can tell 3m+8=15 is not a quadratic because while it has a variable and integer, it does not have a variable to the power of two.
The picture shows two sizes of shipping boxes with measurements in inches. The boxes are rectangular prisms. There are two rectangular prisms. Prism 1 has a height of 10 inches, length of 20 inches and a width of 7 inches. Prism 2 is smaller and to the right of Prism 1. Prism 2 has a height of 4 inches, length is 20 inches and width is 4 inches. Marcus shipped 1 of the larger boxes and 2 of the smaller boxes. Which equations show the total volume of the boxes Marcus shipped? Select the three equations that apply.
Using the volume of a rectangular prism, it is found that Marcus shipped 2040 in³ of the boxes.
What is the volume of a rectangular prism?The volume of a rectangular prism of lenght l, width w and height h is given by:
V = lwh.
Prism 1 has dimensions of h = 10, l = 20, w = 7, hence it's volume in cubic inches is given by:
V1 = 20 x 10 x 7 = 1400 in³.
Prism 2 has dimensions of h = 4, l = 20, w = 4, hence it's volume in cubic inches is given by:
V2 = 20 x 4 x 4 = 320 in³.
Marcus shipped 1 of the larger boxes and 2 of the smaller boxes, hence the total volume is of:
V = V1 + 2V2 = 1400 + 2 x 320 = 2040 in³.
More can be learned about the volume of a rectangular prism at https://brainly.com/question/17223528
whats 0.00316 in scientific notation ?
100pts...!Determine the image of the point (7, 3) under a rotation of 90° about the origin.
(-7, 3)
(-3, -7)
(-3, 7)
(3, 7)
Answer:
(-3, 7)
Step-by-step explanation:
The rotation of an object turns the object around a fixed point called the center of rotation.
Positive rotations are counterclockwise.
Negative rotations are clockwise.
Therefore, rotation of 90° about the origin means a 90° rotation counterclockwise with (0, 0) as the center of rotation.
The rule for rotation of 90° about the origin is:
(x, y) → (-y, x)
Therefore (7, 3) → (-3, 7)
The rule of 90° rotation about the origin is
(x,y)—»(-y,x)Here given point is
(7,3)The new point is
(-3,7)Which scene from "Stray" is an example of rising action?
Doris brings the puppy home for the first time.
Mr. Lacey takes the puppy to the pound.
Doris tries to convince her parents that they should keep the dog.
Doris discovers that her father brought the dog back.
Answer:
D. doris disvobers that her father brought th dog back if it's wrong im sorry
Step-by-step explanation:
can you please answer that + here's something that will make you laugh
will mark brainlyest and 100 point
Answer:
The fourth and last answer is correct
Step-by-step explanation:
For the fourth one you have an exponent of an exponent, the base stays the same and the exponents get to be multiplied.
6^-1^16
For the last one both -8 x -2 and 8 x 2 equal 16.
How many solutions does an equation have? Is there always a solution?
Answer:
A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line). This article reviews all three cases.Step-by-step explanation:
In right-angled triangle, the difference between two of the angles is 20 degrees. a) Work out the Size of the angles in the triangle. b) How many solutions are there to A?
Answer:
The sum of interior angles of a triangle is 180°
In a right triangle, one of the three angles is 90°. Therefore, the sum of the other two angles is 90°.
Let a = one unknown angle
Let b = the other unknown angle
As the sum of the angles is 90°:
⇒ a + b = 90°
As the difference between the two angles is 20°:
⇒ a - b = 20°
Rewriting the first equation to make a the subject:
⇒ a = 90° - b
Substituting this into the second equation and solving for b:
⇒ 90° - b - b = 20°
⇒ 90° -2b = 20°
⇒ 70° = 2b
⇒ b = 35°
Substituting found value for b into a = 90° - b and solving for a:
⇒ a = 90° - 35°
⇒ a = 55°
Therefore, the two unknown angles are 35° and 55°
Molly and Alexa went to Taco Bell. Molly bought three tacos and two burritos and paid 5.40.Alexa bought two tacos and one burrito and paid 3.10.what is the indiviso cost for each taco and each burrito (systems with equations algebra 2)
Answer:
taco is 80 cents burrito is 1.50
Step-by-step explanation:
If you make two equations, multiply one of them by two so burritos have the same constant, subtract and find b. Then, substitute b into one of the equations to find t. Hope it helps. :)
What is the definition of an exponential equation?
Answer:
Exponential equations are equations in which variables occur as exponents. For example, exponential equations are in the form ax=by . To solve exponential equations with the same base, use the property of equality of exponential functions