Because of a problem in the program, the timer in a video player did not begin counting until the video had been playing for several seconds. The player began counting at 000 seconds, even though the video had already played 190190190 frames. The video plays 252525 frames per second.
How many frames had the video already played when the time was equal to -3 2/5 seconds?
Answers
The video had played 104 frames when the time was equal to -3 2/5 seconds.
We can start by finding how many frames were played during the time that the timer did not start counting. Since the video plays 25 frames per second, the number of frames played during this time is 25 frames/second × several seconds = 190 frames.
Next, we need to convert the time of -3 2/5 seconds to frames. We can do this by multiplying the time by the frame rate of 25 frames/second:
-3 2/5 seconds × 25 frames/second = -86 frames
Note that the negative sign indicates that the timer is behind the actual playback time.
Finally, we add the number of frames played before the timer started counting to the number of frames that had played by the time the timer was at -3 2/5 seconds:
190 frames + (-86 frames) = 104 frames
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Related Questions
A report about how American college students manage their finances includes data from a survey of college students. Each person in a representative sample of 793 college students was asked if they had one or more credit cards and if so, whether they paid their balance in full each month. There were 500 who paid in full each month. For this sample of 500 students, the sample mean credit card balance was reported to be $825. The sample standard deviation of the credit card balances for these 500 students was not reported, but for purposes of this exercise, suppose that it was $200. Is there convincing evidence that college students who pay their credit card balance in full each month have a mean balance that is lower than $905, the value reported for all college students with credit cards
Answers
Answer:
Yes. There is enough evidence to support the claim that college students who pay their credit card balance in full each month have a mean balance that is lower than $905.
Step-by-step explanation:
We want to test the claim that college students who pay their credit card balance in full each month have a mean balance that is lower than $905.
To perform this test we have a sample of 500 students which have paid their balance in full each month. The sample mean is $825 and the estimated sample deviation is considered $200.
Then, the null and alternative hypothesis are:
\(H_0: \mu=905\\\\H_a:\mu< 905\)
The significance level is 0.05.
The sample has a size n=500.
The sample mean is M=825.
The estimated standard error of the mean is computed using the formula:
\(s_M=\dfrac{s}{\sqrt{n}}=\dfrac{200}{\sqrt{500}}=8.94\)
Then, we can calculate the t-statistic as:
\(t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{825-905}{8.94}=\dfrac{-80}{8.94}=-8.94\)
The degrees of freedom for this sample size are:
\(df=n-1=500-1=499\)
This test is a left-tailed test, with 499 degrees of freedom and t=-8.94, so the P-value for this test is calculated as (using a t-table):
\(\text{P-value}=P(t<-8.94)=0\)
As the P-value (0) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that college students who pay their credit card balance in full each month have a mean balance that is lower than $905.
(PLEASE ANSWER BOTH)
1. What is the value of Angle X?
2. How do you know (What type of angle pairs are they)?
Answers
Answer:
angle x is 160
Step-by-step explanation:
180 - 20
Principal: $1500.
Annual interest rate: 72%.
What is the interest after
6 months?
Answers
To solve this problem, you us the equation A=P(1+rt)
A stands for the amount of money accumulated after t years
P stands for principal
r stands for annual interest rate
t stands for time (in years)
Next you need to plug it into your formula which should look like this...
A=1500(1+(0.072*0.5))
When you plug in your annual interest rate, you have to move your decimal place 2 places to the left. That is why 7.2% is 0.072 in the formula above.
The reason that I plugged in 0.5 for the time instead of 6 months is because the time in this formula is calculated in years. For example, if the question told you the time was 12 months, 12 months is one year, so you would plug in a 1 for t. Since your question asked for 6 months, 6 months is equal to half a year or 0.5 of a year. That is why t is 0.5 in the formula.
Now that you have your problem, the next step is to solve. I will show you what that looks like down below.
A=1500(1+(0.072*0.5))
A=1500(1+(0.036))
A=1500(1.036)
A=1554
From this problem, we just solved for how much money is in this account after 6 months which is $1554. But we’re not done yet, we are looking for how much interest was earned after 6 months.
To find this, all you have to do is subtract the amount earned after 6 months ($1554) by the principal amount ($1500) using this formula (the I stands for Interest).
A-P=I
1554-1500= 54
The interest earned after 6 months is $54.
(If the annual interest rate is 72% and not 7.2%, you can still use the formulas and my lesson to solve it yourself)
Find the tangents of the acute angles in the right triangle. Write each answer as a fraction. WILL MAKE BRAINLIEST!!
tan G = ?
tan H = ?
Answers
The tangents of the acute angles in the right triangle gives:
tan(G) = 2
tan(H) = 1/2
How to find the tangents of angles?It should be noted that tangent is the ratio of opposite over adjacent. Thus:
tan(angle) = opposite/adjacent
So for reference angle G, we say,
tan(G) = JH/GJ = 2/1 = 2
We'll treat tan(H) in a similar fashion, but the opposite and adjacent sides swap roles. That means we'll apply the reciprocal to the result above to get 1/2 for tan(H)
So we have this interesting property where
tan(G)*tan(H) = 2*(1/2) = 1
In general,
tan(A)*tan(B) = 1 if and only if A + B = 90 degrees
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Which polynomial is prime?
x2 + 7
x2 – 25
3x2 – 27
2x2 – 8
Answers
x² + 7 can not be factorized with rational numbers.
What is prime polynomial?A prime polynomial defined as a polynomial has only two factors 1 and itself. It is a polynomial with integer coefficients that cannot be factored into polynomials of lower degrees.
x² + 7 can not be factorized with rational numbers.
Therefore, it is a prime polynomial.
x² - 25 can be factored into (x+5)(x-5).
Therefore, it is not a prime polynomial.
3x² – 27 can be factored into 3(x+3)(x-3).
Therefore, it is not a prime polynomial.
2x² – 8 can be factored into 2(x+2)(x-2).
Therefore, it is not a prime polynomial.
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If F=(-3)
Find: F(x)=4x^2-5
Answers:
-41
31
29
None of the Above
Answers
Answer:
31
Step-by-step explanation:
as we put the value of X in the function it gives 3
Crane Corporation is considering purchasing a new delivery truck. The new truck would cost $55,440. The new truck is expected to generate a cost savings of $7,700. At the end of 8 years, the company will sell the truck for an estimated $27,600.
Traditionally the company has used a rule of thumb that a proposal should not be accepted unless it has a payback period that is less than 50% of the asset's estimated useful life. Larry Newton, a new manager, has suggested that the company should not rely solely on the payback approach, but should also employ the net present value method when evaluating new projects. The company's cost of capital is 8%.
a) Compute the cash payback period and net present value of the proposed investment.
b) Does the project meet the company's cash payback criteria?
c) Does it meet the net present value criteria for acceptance?
Answers
A. The payback period is 7.2 years. The net present value of the proposed investment is 3720.55.
B. No, the project does not meet the company's cash payback criteria.
C. Yes, the project does meet the net present value criteria for acceptance.
How do we solve for the net present value of the proposed investment?A. The truck costs $55,440 and generates annual cost savings of $7,700. So the payback period is the cost of the truck divided the expected amount the truck will generate.
$55,440 / $7,700 = 7.2 years
To solve for the net present value, we say
Net Present Value = ∑ [(Cash inflow in period t) / (1 + \(r^{t}\)] - Initial Investment.
NPV = (($7,700 / (1 + 0.08)¹) = 7 129.63
+ ($7,700 / (1 + 0.08)²) = 6601.51
+ .($7,700 / (1 + 0.08)³ = 6112.51
+ ($7,700 / (1 + 0.08)⁴) = 5659.73
+ ($7,700 / (1 + 0.08)⁵) = 5240.49
+ ($7,700 / (1 + 0.08)⁶) = 4 852.31
+ ($7,700 / (1 + 0.08)⁷) = 4492.88
+($7,700 / (1 + 0.08)⁸) = 4160.07
+ ($27,600 / (1 + 0.08)⁸)) = 14911.42
- $55,440
We add all these values together and subtract by $55,440
7 129.63 + 6601.51 + 6112.51 + 5659.73 + 5240.49 +4 852.31 + 4492.88 + 4160.07 + 14911.42 - $55,440
59160.55 - 55,440
NPV = 3720.55
B. The cash payback period of the project is 7.2 years. The company's cash payback criteria state that a project should not be accepted unless it has a payback period that is less than 50% of the asset's estimated useful life, which would be 4 years which is 50% of 8 years. Since 7.2 years is greater than 4 years, the project does not meet the company's cash payback criteria.
C. The positive NPV of $3,720.55 shows that embarking on the prooject will be valuable to the company. This means the project meets the NPV criteria for acceptance.
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Which exponential function is the best fit for the data in the table? ( please help! )
Answers
Which system of equations has a solution of (-2,0,1)
Answers
The system of the equations that has a solution of (-2, 0, 1) will be x + y + z = -1, x + y + 2z = 0, and x + 2y + 3z = 1.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The system of the equations that has a solution of (-2, 0, 1) will be
Let the number of variables be x, y, and z.
Then we have
Then the first equation will be
x + y + z = -1
Then the second equation will be
x + y + 2z = 0
Then the third equation will be
x + 2y + 3z = 1
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what is the domain of y=x^2-17
Answers
Answer:
The Vertex Form of a Parabola is:
g(x) = a(x - h)2 + k
vertex = (h, k)
rate = a (positive is up; negative is down)
a = -1/4 (downward parabola)
vertex = (17, 61)
There is no domain restriction.
Since the parabola is upside down (downward-facing), it reaches it's maximum at its vertex. In other words, is not possible for g(x) to be greater than 61.
Step-by-step explanation: hope this helped:/
On an 88 question test, Beth missed 11 questions. What percent did she get correct for that test? Round to the nearest tenths place.
Answers
Hannah jumped from the side of the pool and Dove under the water 4 ft from the pool side. She came out of the water 12 ft away from the poolside. Her path under the water was in the shape of a parabola. If the X intercepts are the points where she entered and exited the water, finally access of the Symmetry by looking at the graph of the x-intercepts. How far from where she entered the water was Hannah when she reached her lowest point in the pool? What is the axis of symmetry? What is the distance?
Answers
The distance from where she entered the water to when she reached her lowest point in the pool is 16 ft
The axis of symmetry is x = 8 ft
How to find the Vertex of a Parabola?We are told that she jumped from the side of the pool and the point at which she made contact with the water to dive under was a distance of 4 ft horizontal from the pool side. Secondly, the point at which she came out of the pool was 12 ft from the pool side.
Thus, since the points where she came out and where she dove into the pool are the x-intercepts, then it means that the factors of the parabola formed are; (x - 4) and (x - 12)
Thus, the quadratic equation formed by the parabola is;
y = (x - 4) * (x - 12)
y = x² - 16x + 48
Now, the coordinates for the vertex will be (h, k).
h = -b/2a
h = -(-16)/(2 * 1)
h = 8
k = 8² - 16(8) + 48
k = -16
Thus, the distance from where she entered the water to when she reached her lowest point in the pool is 16 ft
The axis of symmetry is x = 8 ft
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4. Select all the ways that describe the
graph of the function in interval 2.
ty
(2)
(1)
(3)
The function is increasing.
The slope is negative.
The function is decreasing.
The function is constant.
The slope is positive.
Answers
Answer:
all
Step-by-step explanation:
have the awnserbbbnnnnnnnnnnnn
Kate used 6.15 meters of ribbon to make bows. How many centimeters of ribbon did she use? 61.5 centimeters 0 0.615 centimeter 6.15 centimeters 615 centimeters
Answers
Answer:
615 centimeters
Step-by-step explanation:
Kate used 6.15 meters of ribbon to make a bow
The centimeters of the ribbon used by kate can be calculated as follows
1 meter=100 centimeters
6.15 meters= x
Cross multiply both sides
1 × x = 6.15 × 100
x = 615 centimeters
Hence Kate used 615 centimeters of the ribbon
Which rate describes a unit price?
Answers
Answer:
0.35 per minute
Step-by-step explanation:
Unit means "one"
Only the first one has "per" in it.
Per means "for each"
Hope this helps!
Please mark as brainliest!
What are the multiplicative and additive inverses of -7?
a
multiplicative inverse 1/7; additive inverse -7
b
multiplicative inverse 1/7; additive inverse 7
c
multiplicative inverse -1/7; additive inverse -7
d
multiplicative inverse -1/7; additive inverse 7
pleaase help im have a 77 in her class smh
Answers
In math questions answers each questions are solved with explanation. The questions are based from different topics. Care has been taken to solve the questions in such a way that students can understand each and every step.
1. Which is greater than 4?
(a) 5,
(b) -5,
(c) -1/2,
(d) -25.
Answers
Answer:
A is correctStep-by-step explanation:
The option that is greater than 4 is option (a) 5. This is because 5 is a positive value that is larger than 4. Option (b) -5 is a negative value that is less than 4. Option (c) -1/2 is also negative and less than 4. Option (d) -25 is the most negative option and therefore less than 4. So, the only option that is greater than 4 in this case is 5.
Answer:
a
Step-by-step explanation:
got it right on edge
Line Lis perpendicular to the y-axis. If the line contains point(0, -9), what is the equation of Line ?
O1
y = 0
2
x = 0
O
a
3
X = -9
4
y = -9
Answers
Answer:
y = -9
Step-by-step explanation:
perpendicular to the y-axis means it is parallel to the x-axis.
so, it is a flat line, which means the slope is 0 (it has the save y value for every x value).
therefore the equation is
y = 0×x + b
of simply
y = b
to get b we look at the point we know about (0, -9).
-9 = b
aha !
so, the line equation is simply
y = -9
How many minutes will it take to travel 64 feet at a rate of 14.5454 feet per second
Answers
\(\frac{16000}{218282}\) minutes take to travel
According to the question,
Given that,
Traveling 64 feet at rate of 14.5454 feet per second
\(\frac{64}{14.5454 * 60}\)
convert decimal into fraction
\(\frac{64}{\frac{145454}{10000} * 60}\)
\(\frac{64}{\frac{145454}{500} * 3}\)
\(\frac{64}{\frac{72727}{250} * 3}\)
\(64 *\frac{250}{72727 * 3}\)
\(\frac{16000}{218282}\) ≈ 7.3333361 %
There’s a simple formula which governs the three, and it can be expressed with either variable as the subject of the equation:
Distance = speed * time
Time = distance/speed
Speed = distance/time
So, as long as we have a couple of those, we can plug them into one of the equations.
Time = distance/speed. So, a nice easy one would be how many hours does it take to cover 30km when you are travelling at 120km/h.
Time = 30km/120km/h = 0.25 hours.
If you need to figure out how many minutes that is, simply multiply it by 60, which gives you 15 minutes.
You’re going to drive at an average of 70km/h for 4 hours.
Distance is speed multiplied by time, so:
70km/h * 4 hours = 280km.
Easy so far, but what about if you’re going to be driving for 4 hours and 15 minutes? Now you either need to figure out how much 15 minutes is as a decimal number of hours, or you need to convert the hours figure into minutes and, at the end, convert it back.
The first option is fairly simple: take the 15 minutes and divide it by 60 minutes so that we know what proportion of an hour 15 minutes is.
15 minutes / 60 minutes = 0.25 hours
Add that onto the 4 hours you already have and it’s 4.25 hours. Plug it into the same equation:
70km/h * 4.25 hours = 297.5km
The other way around of doing this is converting the time into minutes. Four hours in minutes is 4 * 60 = 240 minutes.
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On Monday, 248 students went on a trip to the zoo. All 6 buses were filled and 8 students had to travel in cars. How many students were in each bus?
Answers
Answer:
40 students in each bus.
Step-by-step explanation:
Subtract the 8 extra students from the total to get the total number of students who rode in buses. Then divide that total by 6.
248-8=240
240/6=40
40 students in each bus.
240/6=40
= 40 students in all six buses
2040
3. The main engine alone on a rocket can consume the allotted
fuel supply in two-thirds the time it takes the auxiliary engine
alone. Working together they both consume their allotted fuel
in 36 seconds. Formulate an equation to represent the
situation. How long could each be fired alone?
Answers
Using equations, the time for the main engine 14.4 seconds and 21.6 seconds for the auxiliary engine
What is the equation to represent the situationLet's call the time each engine takes to consume its allotted fuel supply as "t₁" for the main engine and "t₂" for the auxiliary engine.
From the first piece of information, we know:
t₁ = (2/3)t₂
From the second piece of information, we know that the combined fuel consumption time for both engines is 36 seconds:
t₁ + t₂ = 36
Now we can substitute the first equation into the second:
t₁ + (2/3)t₂ = 36
Combining like terms:
t₂ = 21.6
Finally, substituting t₂ back into the first equation:
t₁ = (2/3)(21.6) = 14.4
So the main engine alone could be fired for 14.4 seconds and the auxiliary engine alone could be fired for 21.6 seconds.
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Number 12 please!!! You only have to write not solve
Answers
Answer:
He can order 4 toppings
Step-by-step explanation:
600-325=275
$2.75 left
275/065=4.2
Need Help You Can Get 35 point!!!
The width of a rectangular field is represented by x meters. The length of the field is 10 more than twice its width . The area of the field is 5500m^2
Part A
Write an equation that can be used to determine the dimensions, in meters, of the field.
Part B
What is the width, in meters, of the field?
The width is ( ) meters.
Answers
Part A: The equation that can be used to determine the dimensions, in meters, of the field is 5500 = 2x² + 10x
Part B: width is 50 meters.
How to determine the valueThe formula for calculating the area of a rectangle is expressed with the equation;
A = lw
Such that the variables are expressed as;
A is the areal is the lengthw is the widthWe then have that;
l = 2x + 10
Substitute the values
5500 = (2x + 10)(x)
expand the bracket
5500 = 2x² + 10x
2x² + 10x - 5500
x² + 5x - 2750
x² + 55x - 50x - 2750
x(x + 55) - 50(x + 55)
x = 50 meters
Length = 2(50) + 10
Length = 100 + 10 = 110 meters
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The initial cost for producing a product is $1,200. The cost of producing each unit of the product is $5. The total cost is the sum of the initial cost and the cost per unit of the product times the number of units sold. What is the least number of units, x, that should be produced in order for the average total cost per unit to be $7 or less?
Answers
The least number of units, x, that should be produced in order for the average total cost per unit to be $7 or less is 600 units.
Average total costInitial cost = $1,200Cost of producing each unit = $5Number of units = xTotal cost = 1200 + 5x
Average total cost per unit = $7
Average total cost = Total cost / number of units
7 = (1200 + 5x) / x
cross product
7 × x = 1200 + 5x
7x = 1200 + 5x
7x - 5x = 1200
2x = 1200
x = 1200/2
x = 600 units
Therefore, the least number of units, x, that should be produced in order for the average total cost per unit to be $7 or less is 600 units
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-g + 2(3 + g) = -419 + 1)
What is the solution
Answers
Answer:
Step-by-step explanation:
−
g
−
424
v
=
-
g
-
424
Answer: g=-424
Step-by-step explanation:
Given
-g+2(3+g)=-419+1
Expand parenthesis
-g+6+2g=-419+1
Combine like terms
g+6=-418
Subtract 6 on both sides
g+6-6=-418-6
g=-424
Hope this helps!! :)
Please let me know if you have any questions
Help please anyone. Thank You
Answers
Answer:
A) 144 yd²
Step-by-step explanation:
Base= 8x8=64
Side = 1/2*8*5=20
64+20+20+20+20=144 yd²
Answer:
168 sq yds
Step-by-step explanation:
5x8/2x2=40
8x8/2x2=64
8x8=64
40+64+64=168
7 7/8 - 3 1/4 =? What’s the answer
Answers
Answer:
4 5/8
Step-by-step explanation:
7 7/8= 63/8
3 1/4= 13/4= 26/8
63/8 - 26/8= 37/8
37/8= 4 5/8
How many sugar
packets do you think
are inside a 20 oz bottle
of soda?
Answers
Answer:
The answer is 17 packets
Answer:
17 or 17.25
Step-by-step explanation:
20 oz is 69 grams divided by 4 and its 17
The drama club is selling tickets to their play to raise money for the show's expenses.
Each student ticket sells for $7 and each adult ticket sells for $10. The auditorium can
hold no more than 85 people. The drama club must make no less than $690 from
ticket sales to cover the show's costs. Also, they must sell a minimum of 10 student
tickets and at least 55 adult tickets. If a represents the number of student tickets sold
and y represents the number of adult tickets sold, write and solve a system of
inequalities graphically and determine one possible solution.
Answers
On solving the inequalities a ≥ 10, y ≥ 55, 7a + 10y ≥ 690, the solution is obtained as (20,55).
What is an inequality?
In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.
Use the variables a and y to represent the number of student and adult tickets sold, respectively.
Then write the following system of inequalities -
a ≥ 10 (they must sell a minimum of 10 student tickets)
y ≥ 55 (they must sell at least 55 adult tickets)
7a + 10y ≥ 690 (they must make no less than $690 from ticket sales)
The first two inequalities are constraints on the number of tickets sold, and the third inequality represents the revenue constraint.
To find a possible solution, graph these inequalities on a coordinate plane and look for the feasible region that satisfies all three inequalities.
Alternatively, solve the system of inequalities using algebra.
First, simplify the third inequality by subtracting 7a from both sides -
10y ≥ 690 - 7a
Then, divide both sides by 10 -
y ≥ (690 - 7a)/10
This inequality represents the revenue constraint in terms of the number of student tickets sold.
Now combine the revenue constraint with the other two constraints -
a ≥ 10
y ≥ 55
y ≥ (690 - 7a)/10
Use substitution to solve for a in terms of y -
y ≥ (690 - 7a)/10
10y ≥ 690 - 7a
7a ≥ 690 - 10y
a ≥ (690 - 10y)/7
To find a possible solution, substitute a = (690 - 10y)/7 into the other two constraints -
(690 - 10y)/7 ≥ 10
y ≥ 55
These inequalities can be simplified -
690 - 10y ≥ 70
y ≥ 55
The first inequality can be solved for y -
-10y ≥ -620
y ≤ 62
Since it is known y ≥ 55, the feasible values for y are between 55 and 62, inclusive -
55 ≤ y ≤ 62
Now use the expression for a in terms of y to find the corresponding values of a -
a = (690 - 10y)/7
For each value of y between 55 and 62, inclusive, we can calculate a and check whether it satisfies the constraints -
a ≥ 10
y ≥ 55
7a + 10y ≥ 690
For example, when y = 55 -
a = (690 - 10(55))/7 = 20
7a + 10y = 7(20) + 10(55) = 690
Therefore, these values satisfy all three constraints, so one possible solution is a = 20 and y = 55.
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find the measure of
Answers
Answer:
angle RFG is 56
Step-by-step explanation: