The magnitude of the acceleration of the particle is zero when the velocity of the particle is zero.
What is Acceleration ?
Acceleration is the rate of change of velocity. Usually, acceleration means the speed is changing, but not always. When an object moves in a circular path at a constant speed, it is still accelerating, because the direction of its velocity is changing.
Given,
Velocity v= x² − 5x + 4
now, the acceleration
a = dv/dt
a = 2x (dx/dt) - 5x(dx/dt)
given that, v= dx/dt =0
so, a = 2x*0−5*0
a=0 m/sec²
so, the acceleration is zero ,when the velocity is zero.
Hence ,The magnitude of the acceleration of the particle is zero when the velocity of the particle is zero.
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Given question is incomplete , the complete question is given below:The velocity of a moving particle along the x-axis is given as v= x² − 5x + 4, where x denotes the x−coordinate of the particle in meters. Find the magnitude of the acceleration of the particle when the velocity of the particle is zero?Courtney made a 5.5 foot ramp
to help her dog get in her minivan.
If the back of her van is 3 feet
from the ground, what will be the
angle of elevation from the base of
the ramp to the van?
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Answer:
33°
Step-by-step explanation:
We assume the 5.5 foot measurement is the length of the ramp surface. It will be the hypotenuse of a right triangle with the 3 ft side opposite the angle of interest. The applicable relationship is ...
Sin = Opposite/Hypotenuse
sin(angle) = (3 ft)/(5.5 ft)
angle = arcsin(3/5.5) ≈ 33.0°
The angle of elevation of the ramp is about 33°.
x^(2)y^(2)-3x^(2)+2y^(2)-6
Answer:
i dont know if you want me to simplify but if you do simplify this expression you get
-2x^2+3y^2-6
Step-by-step explanation:
Determine if the representation below is an example of a function or not a function (1,3), (3,3), (4,5), (6,5), (7,7), (9,7)
Answer:
Yes.
Step-by-step explanation:
No x value is used twice.
Find the value of x in the triangle shown below 8 10
Answer:
x = 6
Step-by-step explanation:
pythagorean theorem
a^2 = c^2 - b^2
a^2 = 10^2 - 8^2
a^2 = 100 - 64
a^2 = 36
sqrt a^2 = sqrt 36
a = 6
CHECK:
6^2 + 8^2 = 10^2
36 + 64 = 100
yes.
An investor obtains a balloon mortgage with the terms shown below.
Balloon Mortgage
$530,000
30/7 balloon
6.8% annual rate
What is the monthly payment on this mortgage?
a. 3,455.20 b. 3,678.58 c. 6,738.57 d. 7,947.40
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Answer:
a. $3,455.20
Step-by-step explanation:
The monthly payment is given by the amortization formula:
A = P(r/12)/(1 -(1 +r/12)^(-12t))
for loan amount P at annual rate r for t years.
For this mortgage, we use P = $530,000, r = 0.068, t = 30.
A = $530,000(0.068/12)/(1 -(1 +0.068/12)^(-360)) ≈ $3,455.20
The monthly payment is $3,455.20.
_____
Additional comment
In 7 years, the balloon payment will be $481,559.91.
write an exponential formula of the form f (t)= a×b^t to represent the following situation. assume t is in years. The beginning population is 27, 000, decreasing by 3.5% annually. f(t)=__________
Answer:
[tex]f(t)= 27000 * 0.965^t[/tex]
Step-by-step explanation:
Given
[tex]a = 27000[/tex] -- initial
[tex]r = 3.5\%[/tex]
Required
The exponential equation
The exponential equation is
[tex]y =ab^t[/tex]
Where
[tex]b=1 -r[/tex]
We used minus, because the rate decreases..
So, we have:
[tex]b=1 -3.5\%[/tex]
[tex]b=1 -0.035[/tex]
[tex]b=0.965[/tex]
So:
[tex]y =ab^t[/tex]
[tex]y = 27000 * 0.965^t[/tex]
Hence:
[tex]f(t)= 27000 * 0.965^t[/tex]
NEED HELP I WILL MARK BRAINLIEST PLZ HELP
Carlos va a un restaurante a almorzar ,llama al mesero para hacer el pedido,l le ofrece dos sabores de jugo,dos altos de entrada y tres postres¿de cuántas maneras puede elegir Carlos su pedido?
Answer:
Para responder debemos hacer uno del análisis combinatorio. Cada comida de una cena, tiene 1 tipo de aperitivo, 1 de entrada, 1 plato de fondo, 1 bebida y 1 postre.
Ahora bien, cada uno tiene diferentes cantidades de opciones, por lo tanto multiplicando cada una de ellas, obtendremos todas las opciones posibles:
Posibilidades = 5 × 3 × 4 × 3 × 2 = 360 formas diferentes de cenar.
Step-by-step explanation:
Please Help!, Brainliest to whoever helps
Use your calculator to determine the exponential regression for the following set of data: (HINT: Use the STAT button to enter data into L1 and L2)
1
2.
3
4
5
0
4
8
11
26
52
97
Write your answer in the form y = a(6)
(Round to 3 decimal places, put parentheses around
"b" value)
Answer:
y = 3.819(1.897)ˣ
Step-by-step explanation:
By using the exponential regression calculator,
Exponential equation from the given data will be,
y = 3.8191(1.8974)ˣ
By rounding all the values up to 3 decimal places,
y = 3.819(1.897)ˣ
For positive acute angles A and B, it is known that sin A = 8/17 and cos B = 24/25
Find the value of sin(A + B) in simplest form.
Answer:
Step-by-step explanation:
Here we use the SUM FORMULA: sin(a + b) = sin a cos b + cos a sin b
sin(A + B) = sin A*cos B + cos A*sin B. We are not given cos A or sin B and so must find them using the Pythagorean Theorem x^2 + y^2 = z^2.
Looking at sin A = 8/17, we see that the "opposite side" is 8 and the "hypotenuse" is 17. Then (adjacent side) = √(17² - 8²) = 15; that is, the side adjacent to Angle A is 15. Thus, cos A = 15/17 and sin A = 8/17.
We find sin B similarly. cos B = (side adjacent to B)/25 = 24/25. Therefore the side opposite B is √(25² - 24²) = 7. Thus, sin B = 7/25 and cos B = 24/25.
Then sin (A + B) = sin A*cos B + cos A*sin B
= (8/17)*(24/25) + (15/17)(7/25)
Here there are two products of fractions. This product (above) can be rewritten as
8(24) + 15(7) (3)(64) + (3)(5)(7)
= sin A*cos B + cos A*sin B = --------------------------- = --------------------------
17(25) 17(25)
A box of chocolates was shared evenly between 5 people. Each person received 4 chocolates.
How many chocolates were in the box?
Answer:
20
Step-by-step explanation:
5x4=20
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At Hoffman's Bike Rentals, it costs $27 to rent a bike for 5 hours.
How many hours of bike use does a customer get per dollar?
Answer:
0.19 hours per Dollar
Step-by-step explanation:
Given data
Cost of rental= $27
Time = 5 hours
Hence
for $27 a customer gets 5 hours
for $1 a customer gets x hours
cross multiply
27x = 5*1
x= 5/27
x=0.185
x=0.19
Hence a customer get 0.19 hours per Dollar
Jeremiah wants to send some of his shirts to a dry cleaner. he usually takes his clothes to Spot-Less Dry cleaners, where he pays $4.50 per shirt. He sees a sign at No Mess or Stress Dry Cleaners that says it's $21.00 to have 4 shirts cleaned. Which is the better deal?
answer:spot-less
Step-by-step explanation:
21.00 divided by 4 is 5.25 so you'd be payingmore at "no mess or stress dry"
true or false
1) m<1=50 degrees
2) m<2=130 degrees
3) y=26 degrees
4) x=4 degrees
5) m<1+m<3=180 degrees
Answer:
1. true
2. false
3. false
4. false
5. false
Step-by-step explanation:
the percent of the principal that is earned in return for loaning the bank the funds?
a. compound interest
b. simple interest
c. interest rate
d. principal
Answer:
B
Step-by-step explanation:
how can I subtract 9 2/5 - 8 4/5
Answer:
0.6
Step-by-step explanation:
First make them into decimals so.
9.4 - 8.8 = 0.6
Step-by-step explanation:
okay so let's convert this from mixed to improper fraction
9 2/5= 47/5
8 4/5= 44/5
47/5-44/5= 3/5
LM is 3x, MN is 2x+2. M is the midpoint of LN. What is LM?
Answer:
1/2
Step-by-step explanation:
3x=(1/2)(2x+2)
3x=x+1
3x-x=x-x+1
2x=1
x=1/2
What is the area of the square pictured here?
2 in.
2 in.
Answer:
4in
Step-by-step explanation:
To find area, you must multiply the given measurement.
2x2=4
Area= 4in
I can not find the answer could you guys help me
Answer: A
Step-by-step explanation:
Power rule: derivative of x^(something) is (something)* x (something -1). Rewrite the second term as x^(-7) and it all becomes -3x^(-3-1) + (-7)x^(-7-1). Rest is just writing it in a "nicer" form
Sara uses 9.3 pints of white paint and blue paint to paint her bedroom walls.
3/5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
Answer:2.65
Step-by-step explanation:
The answer is 2.65
SOMEONE PLEASE HELP ME
There are 72 items on Ginny's bookshelf. of the items are hardcover books, 3 Imtia of the items are softcover books. 9 • The remaining items are DVDs. How many DVDs are on Ginny's shelf?
Answer:
There are 60 dvds.
Step-by-step explanation:
72 - 3 - 9 = 60
If gas costs $2.19 per gallon, how many whole gallons of gas could you buy with $17.00? (Make sure to answer with a whole number.)
With $17.00, you can buy approximately 8 whole gallons of gas.
To calculate the number of whole gallons of gas that can be bought with $17.00, we need to divide the total amount of money by the cost per gallon.
Given that the cost of gas is $2.19 per gallon, we can set up the following equation:
Number of gallons = Total money / Cost per gallon
Substituting the values into the equation, we have:
Number of gallons = $17.00 / $2.19
Performing the division, we get:
Number of gallons ≈ 7.7625570776255707762557077626
Since we are asked to provide a whole number, we round the decimal to the nearest whole number:
Number of gallons ≈ 8
It's important to note that this calculation assumes that the cost per gallon remains constant, and any taxes or additional fees are not taken into account. Additionally, the actual number of gallons that can be purchased may vary depending on the specific pricing and location.
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What is the percent difference between comedy and
action?
a) 22%
b) 5%
c) 13%
d) 10%
5
Answer: 22%
Step-by-step explanation:
WILL MARK BRAINLIST
Solve for x.
3
1
2
140
Answer:
oops where is the question
Step-by-step explanation:
please check the question layout well
What is the value of 6
364
484
1.365
1.456
Answer:
I think it is C
Step-by-step explanation:
If I'm wrong try B
which of the following is a example of a proportional relationship
*photo is down there
show proof for brainliest
Answer:
The third one
Step-by-step explanation:
You multiply x by 6 to get y. 1x6=6, 2x6=12, 3x6=18.
One bar of candy A and two bars of candy B
have 767 calories. Two bars of candy A and
one bar of candy B contain 775 calories. Find
the caloric content of each candy bar.
I'm not 100% sure, but imma have a go.
Answer:
a = 261; b = 253
Step-by-step explanation:
label candy bar A as a
label candy bar B as b
Make 2 equations.
2b + a = 767 (1)
b + 2a = 775 (2)
Solve for a in (1)
2b + a = 767 (-2b)
a = -2b + 767
Substitute for into (2)
b + 2( -2b + 767 ) = 775 (flip)
2( -2b + 767 ) + b = 775 (solve)
−4b + 1534 + b = 775 (add b)
-3b + 1534 = 775 (subtract 1534 from both sides)
−3b = −759 (divide both sides by 3)
b = 253
Substitute b into (1)
a = -2b + 767 (substitute)
a = -2 (253) + 767 (solve)
a = -506 + 767 (add)
a = 261
What does not contribute to the destruction of the rainforest in Brazil? farming and ranching cutting down trees to sell the wood constructing a highway having heavy rains
Answer:
heavy rains
Step-by-step explanation:
it makes the forest grow!!1!!1!!!!11111!1!!
What are the next 4 multiples of 4/8 in a fraction
Answer:
8/16, 12/24, 16/32, and 20/45
Step-by-step explanation: