At time t equals or > 0, the acceleration of a particle moving on the x axis is a(t)=t+sint.? ...?

Answers

Answer 1

Below is the solution:

The integral of acceleration yields velocity, which we are trying to find.
So int(a(t)) = (t^2)/2 - cos(t) + C.
So we can also say that v(t) = (t^2)/2 - cos(t) + C.
*The constant, C, is very important in this case. We need to find when v(t) = 0. We can not do that without first knowing C.
2. Solve for C.
-2 = v(0).
-2 = (t^2)/2 - cos(t) + C.
-2 = -cos(t) + C.
-2 = -1 + C
-1 = C.

Now we have the full velocity equation.
v(t) = (t^2)/2 - cos(t) - 1.
4. Solve for t when velocity is 0.
0 = (t^2)/2 - cos(t) - 1.
t = 1.478 or -1.478
*time cannot be negative, so answer is b.1.48

Related Questions

what is 2.999 rounded to the nearest hundreth?!!

Answers

If you would round it to the nearest tenth which is the third nine, you'd see that it would add up to the whole number 3. So the answer is 3!!

I believe the answer should be 3.00 if I'm not mistaken

how do I solve : COT pi/4 ...?

Answers

cot x = cos x / sin x
cot π/4 = cot 45° = cos 45° / sin 45°
We know that sin 45° and sin 45° have the same value:
cos 45° = sin 45° = √2 / 2;
cos 45° / sin 45° = √2/2 : √2/2 = 1
Answer:
cot π/4 = 1

Given: line segment AB≅line segment BC

Prove: The base angles of an isosceles triangle are congruent.

The two-column proof with missing statement proves the base angles of an isosceles triangle are congruent.

Statement Reason
1. segment BD is an angle bisector of ∠ABC. 1. by Construction
2. ∠ABD ≅ ∠CBD 2. Definition of an Angle Bisector
3. segment BD ≅ segment BD 3. Reflexive Property
4. 4. Side-Angle-Side (SAS) Postulate
5. ∠BAC ≅ ∠BCA 5. CPCTC

Which statement can be used to fill in the numbered blank space?
A. ΔDAB ≅ ΔDBC

B. ΔABD ≅ ΔABC

C. ΔABC ≅ ΔCBD

D. ΔABD ≅ ΔCBD

Answers

In the given two column proof two sides and included angles are equal.

Triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles .In the figure sides BD≅BD , AB≅ BC and <ABD ≅,BDD Therefore triangle ABD and triangle CBD are congruent by SAS property of congruence.

The correct option for missing statement is D. ΔABD ≅ ΔCBD .

Answer:

ΔABD ≅ ΔCBD

Step-by-step explanation:

Guys this is the right answer, ΔABD ≅ ΔCBD. I got it right on my test!

"What is element a23 in matrix A

"

Answers

Answer: The answer is (A) -5.

Step-by-step explanation: We are given to find the element [tex]a_{23}[/tex] in the following matrix:

[tex]A=\begin{bmatrix}8 & -4 & -3\\ 3 & -9 & -5\\ -8 & 8 & 8\end{bmatrix}[/tex]

We know that [tex]a_{mn}[/tex] is an element of a matrix present in the m-th row and n-th column.

So, [tex]a_{23}[/tex] will be the element present in the second row and third column.

Since the element in the second row and third column is - 5, so we have

[tex]a_{23}=-5.[/tex]

Thus, (A) -5 is the correct option.

sin2x=(\sqrt(3))/(2)

Answers

sin(2*x) = (√3)/2
arcsin((√3)/2) = 2*x
x = arcsin((√3)/2)/2 = [tex] \frac{ \pi}{6}, \frac{ \pi}{3} [/tex]

Maricella has a bag containing 35 nickles and quarters.The total value of these coins is less than $2.50. What is the maximum number of quarters that meets these conditions?

Answers

Ok this problem takes some problem solving skills!

Let's start. First, we need to divide 250 by 25. This is because each quarter is worth 25 cents, and $2.50 is worth 250 cents.

You can do this on a calculator.

You should get an answer of 10.

This means that 10 quarters can fit in the bag IF THERE IS NO NICKLEs!!!!!So we are not finished.

We have to subtract one quarter.

So the maximum amount of quarters that can fit is 9.

You would have 5 nickles.

Your answer would be 9 quarters.

Comment of you have any questions!

$0.05(35-Q)+$0.25Q=$2.50
$1.75-$0.05Q+$0.25Q=$2.50 Subtract $1.75 from each side.
$0.20Q=$0.75
Q=3.75 To have $2.50, you would have 3.75 quarters, so to have less, the maximum number of (whole) quarters would be 3

Y=1.40x 14.25 solving for x

Answers

x= 0.5012531y
solve for X by simplifying both sides of the equation, than isolating the variables

Will upvote if you explain on how I solve this problem?!?!

f(x) = 5(2)x

Answers

I guess you can substitute something for x?

e.g if x = 2

f(2) = 5(2)(2)
2f = 20
f = 10?

10 with a small 6 on top is

Answers

Do you mean [tex] 10^{6} [/tex]?

Are you asking what that equals or what the 6 means?

I'll just answer both lol

[tex] 10^{6} [/tex]=1,000,000

The 6 is an exponent by the way, if you needed to know that

10to the 6th power is 1000000

Choose all correct answers. Which of the following ordered pairs are solutions of the system, y > 3 and y < 2x + 2

A. (0, 2)
B. (2, 4)
C. (3, 5)
D. (-2, 0)

Answers

B. (2,4) and C. (3,5) are your answers. I hope this helps and have a good day!

Select the postulate that is illustrated for the real numbers.

3 + 2 = 2 + 3

The commutative postulate for multiplication
Multiplication identity
The addition inverse postulate
Commutative postulate for addition
The distributive postulate
The addition of zero postulate
The multiplication inverse

Answers

3 + 2 = 2 + 3
the answer is Commutative postulate for addition

A six-sided fair die and an eight-sided fair die are rolled together. What is the probability of getting numbers whose sum is a multiple of 3?

Answers

There are 48 possible outcomes in this situation, and of those outcomes, the ones whose sums are a multiple of three are;
12, 21, 15, 51, 24, 42, 33, 18, 27, 36, 63, 45, 54, 48, 57, and 66. So, that is 16 out of 48 possibilities, or 16/48, which simplifies to 1/3. Written as a percent, the probability of getting numbers whose sum is a multiple of three is 33.33%.

Hope this is helpful! :)

To solve this problem, we have to find the multiples of 3 and then find the probability of selecting them. The probability of having a multiple of 3 is 1/3.

Probability of tossing a fair dice.

The probability of tossing a six-sided dice and a eight-sided dice.

When we toss them together, the maximum value will be

[tex]6 * 8 = 48[/tex]

The multiplies of 3 will be

Data;

3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48

The probability of having a multiple of 3 will be

[tex]P(multiple of 3) = \frac{16}{48} = \frac{1}{3}[/tex]

The probability of having a multiple of 3 is 1/3

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Toby just graduated from four years of college. At the beginning of each year, he took out a Stafford loan with a principal of $6,125. Each loan had a duration of ten years and an interest rate of 5.3%, compounded monthly. All of the loans were subsidized. Toby plans to pay off each loan in monthly installments, starting from his graduation. What is the total lifetime cost for Toby to pay off his 4 loans? Round each loan's calculation to the nearest cent.
a.
$7,904.04
b.
$31,616.16
c.
$10,393.82
d.
$36,490.25
Would appreciate if you could show the work for how this is done.

p.s. I later submitted this question and the answer is B.

Answers

The cost that's necessary to pay the loan will be $31,616.16.

How to calculate the cost of the loan

First, we need to calculate the effective monthly interest rate. This will be:

i = 0.053/12

= 0.0044

The effective annual interest rate will then be:

i = (1 + 0.0044)^12 - 1

I = 0.0543

Next thing will be to calculate the present worth of all the loans which will be:

P = 6125 + 6125 (1 + 0.0543) + 6125 (1 + 0.0543)² + 6125(1 + 0.0543)³

P = $22,671.40

The worth of the loans after four years will be:

P = 22671.40 (1 + 0.0543)⁴

= $31,616.16

In conclusion, the correct option is $31,616.16.

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To calculate the total cost of Toby's 4 Stafford loans, the monthly amount for one loan is first calculated and then multiplied by four and by the number of months. The correct total lifetime cost is approximately $31,569.60.

To determine the total lifetime cost that Toby will pay to pay off his 4 Stafford loans, each with a principal of $6,125, an interest rate of 5.3% compounded monthly, and a loan duration of ten years, we need to calculate the monthly payment for a single loan and then multiply by the number of loans and the duration. The formula for the monthly payment on an installment loan is:

P = P[r(1+r)^n] / [(1+r)^n - 1]

where:

P is Principle Amountr is rate of interestn is time in years

Using the data given:

P = $6,125 * [0.004417(1 + 0.004417)^120] / [(1 + 0.004417)^120 - 1]

Calculating this gives us a monthly payment of approximately $65.77 for each loan. Toby took out 4 loans, so his total monthly payment is 4 * $65.77 = $263.08.

The total lifetime cost for a single loan is the monthly payment * number of payments (120), which is:

Total cost for one loan = $65.77 * 120 = $7,892.40

And the total lifetime cost to pay off all 4 loans:

Total cost for all loans = $7,892.40 * 4 ≈ $31,569.60

Therefore, rounding each loan's payment to the nearest cent, the total lifetime cost to pay off all 4 of Toby's loans is roughly $31,569.60, making the answer option b the correct one.

Tomas orders a meal the costs $7.89.lisa's meal costs $9.05. about how much is combined cost if their meals?

Answers

$7.89 rounded is about $8
$9.05 rounded is about $9
8 + 9 = 17

Their meals together costed about $17

What is "the ratio of a line's rise over its run?"

Answers

The ratio is y/x and it is referred to as the slope or the rate of change

multiply 3/7 x 14
...?

Answers

3/7 x 14/1
= 42/7
=6/1

6

The simplified product of 3/7 multiplied by 14 is 6.

To multiply 3/7 by 14, you can follow these steps:

Multiply the numerators: 3 x 14 = 42.

Multiply the denominators: 7 x 1 = 7.

Therefore, the product of 3/7 multiplied by 14 is 42/7.

However, we can simplify this fraction further by dividing both the numerator and denominator by their greatest common divisor, which is 7.

= 42/7

= 6/1

= 6.

So, the simplified product of 3/7 multiplied by 14 is 6.

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A _______________ is where a horizontal number line and a vertical number line intersect at their zero points.

Answers

The x intercept is what you are looking for.
If you need help comment below!

What is the average rate of change of f(x), represented by the table of values, over the interval [-3, 2]?

Answers

For this we need to take value of f(x) when x = -3 and value of f(x) when x = 2, sum them up and divide by distance between x = -3 and x = 2

f(-3) = -36

f(2) = 4

average rate of change is:

Avg = (36 + 4)/(3+2) = 8

Note that we have to use +36 and not -36 because we need distance from -36 and 4 and that is 36 + 4 = 40... same goes for -3

To travel 105 miles, it takes Sue, riding a moped, 3 hours less time than it takes Doreen to travel 64 miles riding a bicycle. Sue travels 13 miles per hour faster than Doreen. Find the times and rates of both girls.

Answers

Let t=time Doreen travels; let r=rate of Doreen

RATE * TIME = DIST.
Sue | r+13 t-3 105
Doreen | r t 64

Now solve the system:
(r+13)(t-3)=105
r*t=64

[tex]r= \frac{64}{t} \\ \\(\frac{64}{t} +13)(t-3)=105 \\ \\64- \frac{192} {t}+13t-39-105=0 \\ \\13t- \frac{192} {t}-80=0 \\ \\ 13t^2-80t-192=0 \\ \\t_{1,2}= \frac{80\pm \sqrt{(-80)^2-4\times13(-192)} }{2\times13}= \frac{80\pm128}{26} \\ \\t=\frac{80+128}{26} =8 \\ \\r=\frac{64}{t} =\frac{64}{8} =8[/tex]

Doreen: rate = 8 mph, time = 8 hours
Sue: rate = 21 mph, time = 5 hours

10m - p = -n for m please help, I need help

Answers

10m-p=-n
10m-p+p=-n+p
10m=p-n devide by 10
m=(p-n)/10

What percentage of Anchor Global Insurance Full Time employees are employed in the US?
No. Of Employees
FULL TIME PART TIME
US:1,740 170
South East Asia:670 64
UK:300 30
Europe:250 24
China:380 32
Middle East:135 12

Total Cost (IN $ MILLIONS)
Full Time PART TIME
47.0 2.5

Answers

To calculate this we need to divide:
number of full time employees in US with
total number of full time employees worldwide

Note that our denominator is only full time employees and not total number of employees (both full and part time) because that is what text is asking.

our ratio becomes:

1740/3475 = 0.5007

when multiplied by 100% to get in percentage we get around
50%

1. Which is a minor arc in L? (1 point)

a. AB

b. DB

c. ABD

d. CBD

Answers

Arc DB measure less than 180 degrees, is called a minor arc.

Option (b) is correct

Major and minor arc:

A minor arc is an arc whose angle is less than 180 degrees.

A major arc is an arc whose angle is greater than 180 degrees .A semicircle, is an arc whose angle is equals to 180 degrees . it divides the circle in two.

From given figure, It is observed that, arc DB measure less than 180 degrees is called a minor arc.

Hence, option (b) is correct.

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Help!!! Question is attached. It is on Solving Equations.

Answers

Hi there!

Okay, so we are solving for s. This is pretty simple. Just follow the steps below!

-10s = -8 - 9s

Step 1) Simplify both sides of the equation.

-10s = -8 + - 9s
-10s = -9s - 8

Step 2) Add 9s to both sides.

-10s + 9s = -9s - 8 + 9s
-s = -8

Step 3) Divide both sides by -1.

-s/-1 = -8/-1
s = 8

Our final answer is s = 8.

Hope this helps!

The graph of a line gets _____ as the absolute value of the slope gets bigger.
A. longer
B. shorter
C. steeper
D. less steep

Answers

the answer is C
The graph of a line gets steeper as the absolute value of the slope gets bigger.

The slope of a line is defined as rise by run i.e. how much y value changes with respect to the change in x value. So the slope gives the steepness of the line.

Slope 0 indicates there is no change in y when the x value is changed and so the line with slope 0 is a horizontal line. A line with slope 1 shows with 1 unit change in x, y changes by 1 unit. Likewise slope equal 2 indicates with 1 unit change in x, y changes by 2 units.

We can see as the absolute value of slope is increasing, the change in y with respect to x is increasing i.e. the line is becoming more tilted or steep.

Hence, we can conclude that:
The graph of a line gets Steeper as the absolute value of the slope gets bigger.
C is the correct answer.

Estaban has a big jar of change in his room. he has 600 coins in total, 240 of them are pennies. what percentage of the coins are pennies

Answers

240/600= 24/60= 4/10 = 40%

What is the equation for this slope question??

4.)The line whose slope is half as great as Its y-intercept. Their sum is 1.

Answers

I think the slope is 1/3 and the y-intercept is 2/3

Final answer:

We are given that the slope is half the y-intercept and their sum is 1. Using these conditions we can solve for b and m (which represent y-intercept and slope) and we find that b=2/3 and m=1/3. Therefore, the equation of the line is y = 1/3x + 2/3.

Explanation:

The question is about finding the equation of a line from given conditions. We know that the equation of a line is typically written in the form y = mx + b, where m is the slope and b is the y-intercept. We are given two conditions: the slope is half the y-intercept, and their sum is 1.

Let's assume that the y-intercept is b and the slope is m. Now we can substitute the value of m from the first equation into the second. This gives us: b + b/2 = 1. Solving this, we get b = 2/3 and therefore, m = 1/3.

So, the equation of the line is y = 1/3x + 2/3.

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Which of the following expressions could be used to represent "the difference between -17 and -8"?
-8 - (-17)
-17 - 8
-17 - (-8)
-8 + (-17)

Answers

-17 -(-8) should be the answer

Answer:

-17 - (-8)

Option 3 is correct.

Step-by-step explanation:

Phrase: "the difference between -17 and -8"

Expression: To write the phrase into algebraic form with a variable or constant.

Difference: write two number using subtraction between them.

"the difference between -17 and -8"

First number is -17 and second number is -8

Expression: -17 difference -8

Now using minus sign write as expression.

[tex]\Rightarrow -17-(-8)[/tex]

Hence, The correct expression is -17-(-8)

Use the SAS Congruence Axiom to prove the ASA criterion ...?

Answers

Given the SAS, we can use the CPCPT (congruent parts of congruent triangles are congruent) and get the ASA.

Fractions that are equivalent to1/2

Answers

3/6, 2/4, 5/10, 10/20, 15/30..
As long as the numerator (top number) is half of the denominator (bottom number), it is the same as 1/2

What is 12 less than 15 times x?

Answers

15x - 12 Then you got X= 12/15

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