a particle moves along the x-axis so that anytime t comma measured in seconds it's position is given by...
Answers
Given the position function s(t), you can get the acceleration function by differentiating s twice:
velocity = s'(t) = -5 sin(t ) + 3 cos(3t )
acceleration = s''(t) = -5 cos(t ) - 9 sin(3t )
Then when t = π, the particle's acceleration is
s''(π) = -5 cos(π) - 9 sin(3π)
… = -5 • (-1) - 9 • 0 = 5
Related Questions
1. The temperature outside is -5°F.
Name the temperature that would make
the sum of the two temperatures 0°F.
I
Your anstver
Question 2
Answers
Answer:
1
Step-by-step explanation:
Are the ratios 1:5 and 4:20 equivalent?
Answers
Answer:
yes they are
Step-by-step explanation:
4:20 can be simplified till 1:5
Answer:
Yes
Step-by-step explanation:
If you simplify 4:20 by dividing both sides by 4, you'll end up with 1:5, meaning they are equivalent.
Sarah brought a box of salt water taffy with 25 vanilla and 25 strawberry flavored pieces . What is the number of the possible outcome if she picks out 2 pieces of taffy
Answers
Answer:
The answer is 4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
What is the function that is represented by the graph shown:
Answers
Answer:
I believe its the second one
Describe and correct the error in using properties of parallelograms.
Answers
Answer/Step-by-step explanation:
Opposite angles of a parallelogram are equal to each other.
Therefore, <S = <U, and <T = <V
Consecutive angles of a parallelogram are supplementary.
Therefore,
m<S + m<V = 180°
50° + m<V = 180°
m<V = 180° - 50° (subtraction property of equality)
m<V = 130°
A rectangular picture frame has a perimeter of 58 inches. The height of the frame is 14 inches. What is the width of the frame?
Answers
Answer:
15
Step-by-step explanation:
14+14=28
58-28=30
30/2=15
Answer:
Step-by-step explanation:
the perimeter of the rectangle is in this case
P=2h+2w
58=2(14)+2w
58=28+2w
58-28=2w
30=2w
w=30/2=15
George wants to rent a car for a road trip with his friends. He checked the rentals with two companies. Company A charges a non-refundable fee of $50 and then also $150 for each day. Company B charges using the function 50(2+1). Compare the two functions. Which function has a great rate of change?
Answers
Answer:
Company A has a greater daily rate
Step-by-step explanation:
Given
Company A
[tex]Base\ Charges=\$50[/tex]
[tex]Daily\ Rate = \$150[/tex]
Company B
[tex]f(x) = 50(2x +1)[/tex]
Required
Determine the company with greater rate
Simplify the expression of company B
[tex]f(x) = 50(2x +1)[/tex]
[tex]f(x) = 50 * 2x + 50 * 1[/tex]
[tex]f(x) = 100x + 50[/tex]
In a linear function:
[tex]f(x) = mx + b[/tex]
m represents the rates.
This implies that the rate of company B is:
[tex]Rate =100[/tex]
and the rate of company A is
[tex]Daily\ Rate = \$150[/tex]
By comparison:
Company A has a greater daily rate
how many degrees is the measurement of angle 1? show you work GVING BRAINLY
Answers
Answer:
m<1 = 79°
Step-by-step explanation:
12x + 19 + 22x - 9 = 180
add the numbers
34x + 10 =180
minus 10
34x = 170
divide by 34
x = 5
plug 5 into the equation of angle 1
12(5) + 19 =
79
Hello will you help me with this?
Answers
Answer:
A. 432=18x
B. 22-see explanation
C. 24
D. See if your rounded answer and the actual answer are close.
Step-by-step explanation:
A. He buys a new phone for $432, and pays each month. We will use the variable x, and "x" will represent how many months he pays. It says that he pays $18 per month, so the equation would be 432=18x.
B. We need to isolate x, and to do this we have to divide 432 by 18. To approximate this answer, round 432 to 440 and 18 to 20. Now, divide 440 by 20. We get 22, so this will be the estimation.
C. Divide 432 by 18. We get 24.
E. You can see if it is reasonable if they are close in value.
24(4p – 3) – 8(4p + 2) youll get brainliest
Answers
Hannah has a chicken coop with 6 hens. Let X represent the total number of eggs the hens lay on a randomly chosen day. The distribution for X is given in the table.
A 2-column table with 7 rows. Column 1 is labeled number of eggs with entries 0, 1, 2, 3, 4, 5, 6. Column 2 is labeled probability with entries 0.02, 0.03, 0.07, 0.12, 0.30, 0.28, 0.18.
Which is the correct interpretation of the standard deviation?
The number of eggs laid on a randomly selected day would typically vary from the expected number of eggs by 1.96 eggs.
The mean number of eggs laid on a randomly selected day would typically vary by 1.96 from the expected number of eggs.
The number of eggs laid on a randomly selected day would typically vary from the expected number of eggs by 1.4 eggs.
The mean number of eggs laid on a randomly selected day would typically vary by 1.4 from the expected number of eggs.
Answers
Answer:
C
The number of eggs laid on a randomly selected day would typically vary from the expected number of eggs by 1.4 eggs.
The correct interpretation of the standard deviation of the discrete distribution is:
The number of eggs laid on a randomly selected day would typically vary from the expected number of eggs by 1.4 eggs.What is the standard deviation of a discrete distribution?To find the standard deviation, first we have to find the mean.The mean is given by the sum of each outcome multiplied by it's respective probability.The standard deviation is given by the square root of the sum of the difference squared of each outcome and the mean, multiplied by it's respective probability.It represents by how much the distribution varies from the expected value.In this problem, the distribution is:
[tex]P(X = 0) = 0.02[/tex]
[tex]P(X = 1) = 0.03[/tex]
[tex]P(X = 2) = 0.07[/tex]
[tex]P(X = 3) = 0.12[/tex]
[tex]P(X = 4) = 0.30[/tex]
[tex]P(X = 5) = 0.28[/tex]
[tex]P(X = 6) = 0.18[/tex]
Hence, the mean is:
[tex]E(X) = 0.02(0) + 0.03(1) + 0.07(2) + 0.12(3) + 0.3(4) + 0.28(5) + 0.18(6) = 4.21[/tex]
Then, the standard deviation is:
[tex]\sqrt{V(X)} = \sqrt{0.02(0-4.21)^2 + 0.03(1-4.21)^2 + 0.07(2-4.21)^2 + 0.12(3-4.21)^2 + 0.3(4-4.21)^2 + 0.28(5-4.21)^2 + 0.18(6-4.21)^2} = 1.40[/tex]
Hence, the correct option is:
The number of eggs laid on a randomly selected day would typically vary from the expected number of eggs by 1.4 eggs.As the measure is the number of eggs, not the mean number of eggs.
You can learn more about the standard deviation of a discrete distribution at brainly.com/question/21186607
Colleen is searching online for airline tickets. Two weeks ago, the cost to fly from Boston to Orlando was $250. Now the cost is $325. What is the percent increase? What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price?
Answers
Answer:
Step-by-step explanation:
It will be 129
Help me please
Ayudame por favor
Answers
8/9+4/7
.........................................
Answers
Answer:
1.46 or 1 ²³/₅₀
Step-by-step explanation:
Just plug it into a calculator!!
Brainliest Please??
5x + 4y=-14
3x + 6y = 6
Answers
1. What is the supplement of an angle measuring 35°? 2. What is the complement of an angle measuring 70°?
PLEASE HELP
Answers
Answer: Q1.=145, Q2.=20
Step-by-step explanation:
two supplementary angles equal 180
1. 180-35=145
2 . complementary angles , both add up to 90
90-70=20
Tyson is 6 feet 2 inches tall. There are 2.54 centimeters in 1 inch. What is Tyson's height in centimeters?
Answers
Answer:
187.96 cm
Step-by-step explanation:
Given hat
Tyson is 6 feet and 2 inches tall
Also
There is 2.54 cm in 1 inch
Now the tyson height in the centimeter is
= 6.16666 × 30.48
= 187.96
Hence, the Tyson height in the centimeter is 187.96
Answer:
187.96
Step-by-step explanation:
(answer d)
help me plsss!!!!!!!!
Answers
Answer:
the answer is b
hope that helps
Find the value of the variable(s) in each figure. Explain your reasoning
Answers
Answer:
x=14 and y=37
Step-by-step explanation:
Neil is completing a 10 km run in 4 months’
time. His personal best for 10 km is 55 minutes
and he wants to complete this run in less than
45 minutes.
Identify the components of health-related
fitness that Neil will have to develop to try and
achieve this. Justify your choices.
Answers
Answer:
Hello There!!
Step-by-step explanation:
There are five components of physical fitness:
1. Body composition
2.Flexibility
3. Muscular strength
4. Muscular endurance
5. Cardiorespiratory endurance
I think he will have to develop Flexibility,Muscular Endurance and also Cardiorespiratory Endurance.
hope this helps,have a great day!!
~Pinky~
Given \qquad \overline{PQ}\perp\overline{PS} PQ ⊥ PS start overline, P, Q, end overline, \perp, start overline, P, S, end overline \qquad m \angle QPR = 7x - 9^\circm∠QPR=7x−9 ∘ m, angle, Q, P, R, equals, 7, x, minus, 9, degrees \qquad m \angle RPS = 4x + 22^\circm∠RPS=4x+22 ∘ m, angle, R, P, S, equals, 4, x, plus, 22, degrees Find m\angle QPRm∠QPRm, angle, Q, P, R:
Answers
Answer: 40 degrees
Step-by-step explanation:
did this on khan! :)
4(46 + 3) + 2b = 3 (6 - 11)
Answers
Answer:
[tex]4(46 + 3) + 2b = 3(6 - 11) \\ 184 + 12 + 2b = 18 - 33 \\ 196 + 2b = - 15 \\ 2b = - 15 - 196 \\ \frac{2b}{2} = \frac{ - 211}{2} \\ b = - 105.5[/tex]
10 = k + 3 + 6k
How do I solve this equation?
Answers
Answer:
k = 1
Step-by-step explanation:
[tex]10=k+3+6k\\\\10=k+6k+3\\\\10=7k+3\\\\10-3=7k+3-3\\\\7=7k\\\\\frac{7=7k}{7}\\\\\boxed{1=k}[/tex]
Hope this helps.
Answer:
K=1
Step-by-step explanation:
So first you would add the K's together.(6k+k=7k)
10=7k+3
Then you would subtract 3 from 3 and 10
7=7k
Divide 7 on both sides
k=1
Hope that helps:)
2(a + b)=
Helppp meee pleaseeeeee
Answers
Answer:
ITS C
Step-by-step explanation:
MULTIPLIED BY THE NUMBER TO THE LEFT LOL
Matteo is following this recipe to make a cake.
He wants to make three of these cakes.
How much of each ingredient does he need?
Recipe: Makes 1 cake
8 ounces butter
7 ounces sugar
10 ounces of flour
4 eggs
1 teaspoon (tsp) baking powder
Answers
Answer:
30 ounces of butter
25 ounces of sugar
35 ounces of flour
15 eggs
10 tbps of baking powder
Step-by-step explanation:
All you do is multiple each quantity by 5 I think
we are learning about this in school but check the web to see if it is correct
6. 188 students went on a field trip. Five buses were filled and 18
students traveled in cars. How many students were in each bus?
Answers
Answer:
34
Step-by-step explanation:
188 - 18 = 170 divided by 5 equals 34
Answer:
34 students per bus
Step-by-step explanation:
188 - 18 = 170, The number 170 is the total amount of students who were on buses
170 ÷ 5 = 34 This is the total number of students divide by the number of buses which gave the number of how many students were in each bus
the price of a pair of sneakers increases from $52 to $64. what is the percent increase. round to the nearest percent. show all work
Answers
Answer: Step 1: Calculate the change by subtracting old cost ($52) from the new cost ($64)
Step 2: Divide that change by the old cost ($52). You will get a decimal number
Step 3: Convert the decimal number to a percentage by multiplying by 100%
It's not the answer but it help to answer the question:)
Step-by-step explanation:
Help pls thank you !!
Answers
Answer:
B is correct 4⁷ is the final answer
how much longer is a 1 -inch button than a 3/8 -inch button
Answers
Answer:
5/8
Step-by-step explanation:
i took the quiz
HELP PLEASE I HAVE 2 HOURS TO FINISH THIS:
match the given slope (m) and y-intercept (b) with the equation of the line in slope-intercept form.
Answers
Answer: ↓↓↓
Step-by-step explanation:
Slope intercept formula: y = mx + b
Slope, m = 2, y-intercept, b = 5 ---> y = 2x + 5
Slope, m = 3, y-intercept, b = 5 ---> y = 3x + 5
Slope, m = 5, y-intercept, b = 4 ---> y = 5x + 4