Answer:
the answer is t = 20.625
Step-by-step explanation:
To begin, you would need to find the displacement of the first car and the equation to find that is d = 1/2at^2. So you would plug in what you have from the problem into the equation: d = (1/2)3(6)^2 and d is equal to 54 m. THIS IS YOUR DISPLACEMENT FOR THE FIRST CAR.
Next, you need to find the velocity of the car and the equation would be v = at. Plug in what you know from the problem: v = 3(6) which is 18. THIS IS YOUR INITIAL VELOCITY.
Next, we need to find out the distance of the 2nd car and we would use d = 1/2at^2. Plug in what you now from the problem: d = (1/2)5t^2 which would be d = 2.5t^2.
Next, you would equal these two equations together: 2.5t^2 = 1.5t^2 + 18t +54. All these values are from when we solved them from above, and once you solve it you will get 20.625. (SOLVE FOR T)
At 1 P.M., ship A is 150 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing north at 25 km/h. How fast is the distance between the ships changing at 5 P.M.?
The reason that ship A is moving -35km/h is because ship B acts as an "origin" and as things move closer to the "origin" they become negative and as things move away from the "origin" they become positive.
We know that the rate of Ship A is expressed as dAdt=−35 and the rate of Ship B is expressed as dBdt=25
Step 2: We want to figure out how many km Ship A and Ship B traveled in 4 hours
ShipA:−35kmh⋅4hr=−140km
Now if we take this −140km and add it to the 150km we can see that Ship A is now only 10km away from where Ship B began
ShipB:25kmh⋅4hr=100km
This means that Ship B is now 100km from where it originally started
We can now redraw our information
Step 3: We must use the Pythagorean Theorem to find the third side of the triangle
x2+y2=z2→102+1002=z2
z=√102+1002
Step 4: Now that we know z, we must differentiate the original equation in order to find the rate at which z in changing
x2+y2=z2→2xdxdt+2ydydt=2zdzdt
We can simplify by canceling out the 2's
xdxdt+ydydt=zdzdt
Step 5: Write down all the information and then plug into equation
x=10anddxdt=−35
y=100anddydt=25
z=√102+1002anddzdt=?
Now plug in the information
xdxdt+ydydt=zdzdt
10(−35)+100(25)=√102+1002dzdt
−350+2500=√102+1002dzdt
2150=√102+1002dzdt
21.393=dzdt
The distance between the ships are increasing at a rate of 21.393 km/h
Raj eats 1/11 of a pound of grapes in 1/25 of a minute. How many minutes will it take him to eat a full pound of grapes?
find the equation to the line that is perpendicular to y=2x-3 and goes through the point (-1,2)
Alyssa is building a brick mailbox. She is going to stack bricks that are each \dfrac23 \text{ft}
3
2
ftstart fraction, 2, divided by, 3, end fraction, f, t tall, and the finished stack of bricks needs to be 4\dfrac23 \text{ft}4
3
2
ft4, start fraction, 2, divided by, 3, end fraction, f, t tall.
How many bricks will go in the stack?
Of five letters (a, b, c, d, and e), two letters are to be selected at random without replacement. how many possible selections are there
What is the effect of decreasing the alpha level (for example, from a = .05 to a = .01)? it decreases the probability of a type i error. it decreases the size of the critical region. it decreases the probability that the sample will fall into the critical region. all of the other options are results of decreasing alpha?
Tasha earns $400 per week plus a commission of 10% on her weekly sales. Each week she saves of her earnings. In the expression , what does the expression 400 + 0.1s represent in this situation?
In this situation, the expression 400 + 0.1s represents Tasha's total earnings for the week, including her base salary and commission.
Explanation:In this situation, the expression 400 + 0.1s represents Tasha's total earnings for the week. The $400 represents her base salary, and the 0.1s represents the commission she earns on her sales. The value of s represents Tasha's total sales for the week.
For example, if Tasha's total sales for the week are $2000, then her commission would be 0.1($2000) = $200. Adding this to her base salary of $400, her total earnings for the week would be $400 + $200 = $600.
Therefore, the expression 400 + 0.1s represents Tasha's total earnings for the week, including her base salary and commission.
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Three years ago, Ava lent her sister $400 to buy some clothes. Today Ava’s sister paid her loan in full with $454. What simple annual interest rate did she pay?
If an original conditional statement is represented by p → q, which represents the contrapositive?
~q → ~p that's the answer
Find the mean median mode and range of this date 49,49,54,55,52,49,55, if necessary round to the nearest tenth
25°C is what in Fahrenheit?
multiply Celsius by 9/5 then add 32 to get Fahrenheit
25 * 9/5 = 45
45 +32 = 77 degrees Fahrenheit
identify the type of of function represented by the equation y=2x^2
Regard y as the independent variable and x as the dependent variable and use implicit differentiation to find dx/dy. x3y2 − x4y + 4xy3 = 0
Through applying the techniques of implicit differentiation to the equation x³y² - x⁴y + 4xy³ = 0, the derivative dx/dy is found to be [x⁴ - 4y³ - 2x³y]/[3x²y² - 4x³y].
Explanation:The subject of your question is implicit differentiation in calculus, a branch of mathematics. You wish to know how to differentiate the equation
x³y² - x⁴y + 4xy³ = 0
with respect to y (y is independent and x is dependent).
The initial step in implicit differentiation is to derive every term of an equation. So, we end up with:
3x²y²(dx/dy) + 2x³y(dy/dx) - 4x³y(dx/dy) - x⁴ + 4y³ + 12x²y² = 0.
After grouping like terms together, the equation become:
dx/dy[3x²y² - 4x³y] = x⁴ - 2x³y - 4y³
Eventually, divide both sides by [3x²y² - 4x³y] to isolate dx/dy and get the final answer:
dx/dy = [x⁴ - 4y³ - 2x³y]/[3x²y² - 4x³y]
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A customer has six (6) $1 bills, three (3) $5 bills, four (4) $10 bills, seven (7) quarters, ten (10) dimes, seven (7) nickels, and nine (9) pennies. The customer buys a pair of shoes for $49.86. Based on the combination of bills and coins the customer has, what are the least number of bills and coins the customer can give the cashier in order to buy the shoes for the exact amount and not require any change back?
The 2015 senior class from puma high school raised funds for an end of the year party at club sizzle. It costs $4,000 to rent out club sizzle plus $20 per student for food and drinks. If the senior class raised 11,000, how many students can attend the end of year party ? Write an equation for the situation and solve.
Find the percent of tip: Cost of meal: $28.00 Tip: $3.36 The percent of the tip was ___%.
Answer:
12.00%
Step-by-step explanation:
[tex]$3.36\\[/tex] ÷ [tex]$28.00\\[/tex] = [tex]0.12\\[/tex]
[tex]100 *0.12=12%\\[/tex] %
A card is randomly selected from a deck of 52 cards. Find the probability that the card is between four and eight (inclusive) or is a club.
Answer:
20/52+13/52-5/52=.538
Step-by-step explanation:
The probability that the card is between four and eight (inclusive) or is a club is 4/13.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
The number of cards can be written as,
The number of cards between 4 and 8 is 3 {4,5,6,7,8}.Number of club cards = 13Number of cards between 4 and 8 from heart, spades, and diamonds = 15Now, the probability that the card is between four and eight (inclusive) or is a club is,
Probability
= (Number of club cards+ Number of cards between 4 and 8)/(Total number of cards)
= (13+15)/(52)
= 28/52
= 4/13
Hence, the probability that the card is between four and eight (inclusive) or is a club is 4/13.
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At what projection angle will the range of a projectile equal to 6 times its maximum height?
Can someone please help?
The square root of 150 is between
A.10 and 11
B.11 and 12
C.12 and 13
D.13 and 14
You swim the 50-meter freestyle in 28.12 seconds.This is 0.14 second less than your previous fastest time. What was your previous fastest time?
If a person swim the 50-meter freestyle in 28.12 seconds. This is 0.14 second less than persons previous fastest time is 28.26.
What is Equation?
Two or more expressions with an equal sign is called as equation.
Given that,
One swim the 50-meter freestyle in 28.12 seconds..
The previous fastest time be x.
The new fastest time is 28.12 seconds.
New fastest time is 0.14 second less than your previous fastest time.
So, 28.12+0.14=x
28.26=x
Hence the previous fastest time is 28.26 seconds.
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if the raidus of mars(3,397 km) is about 13.7% of of neptunes radius, what is the radius of neptune?
A carpenter worked 34 hours a week for half a year. If her hourly wage was $20, how much did she earn during this time period?
There are three highways in the county. the number of daily accidents that occur on these highways are poisson random variables with respective parameters .3, .5, and .7. find the expected number of accidents that will happen on any of these highways today.
Final answer:
To find the expected number of accidents on three highways with Poisson distributions, sum the individual expectations: 0.3, 0.5, and 0.7, resulting in an expected 1.5 accidents per day.
Explanation:
The student asked how to find the expected number of accidents that will happen on any of the three highways in a day, given that the number of daily accidents on these highways are Poisson random variables with parameters 0.3, 0.5, and 0.7 respectively. To solve this, we shall sum the parameters of the Poisson distributions because the expectation of the sum of independent random variables is the sum of their expectations.
Therefore, we calculate the expected number of accidents as follows:
For the first highway with parameter 0.3, the expected number of accidents is 0.3.
For the second highway with parameter 0.5, the expected number of accidents is 0.5.
For the third highway with parameter 0.7, the expected number of accidents is 0.7.
Adding these together, we get:
Expected number = 0.3 + 0.5 + 0.7 = 1.5 accidents per day.
An observer (O) spots a plane flying at a 35° angle to his horizontal line of sight. If the plane is flying at an altitude of 17,000 ft., what is the distance (x) from the plane (P) to the observer (O)?
20,757 feet
24,251 feet
29,639 feet
31,262 feet
Answer:
here are numerous information's already given in the question. Based on those information's, the answer to the question can be easily deduced.
Angle at which the plane is flying in respect to the observer = 35 degree
Altitude at which the plane is flying = 17000 feet
The distance at which the plane is flying from the observer = x
Then
x = 17000/sin 35
= 17000/0.57357
= 29638.93 feet
= 29639 feet
From the above deduction, we can conclude that the correct option among all the options given in the question is the third option.
GIVE BRainliest plz
The distance between the plane and the observer is 29,638 feet.
Data;
Angle = 35 degreesheight of the plane = 17,000ftdistance from the plane to the observer = xTrigonometric RatioThis is the use of SOHCAHTOA which is the relationship between sides of a right angle triangle and it's angle.
In this case, we have the value of opposite and angle and we need to find the hypothenuse.
Using sine of the angle,
[tex]sin\theta = \frac{opposite}{hypothenuse} \\sin 35 = \frac{17000}{x}\\ x = \frac{17000}{sin35}\\ x = 29,638 feet[/tex]
The distance between the plane and the observer is 29,638 feet.
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Which of the articles represent a proper fraction? A. 15/22 B. 8/8 C. 3/2 D. 12/9
Which multiplication property is shown in the equation 3.1x(2x9)=(3.1x2)x9
The given equation, 3.1x(2x9)=(3.1x2)x9, demonstrates the Associative Property of Multiplication. The property means that the way numbers are grouped in multiplication does not change the result.
Explanation:The multiplication property shown in the equation 3.1x(2x9)=(3.1x2)x9 is referred to as the Associative Property of Multiplication. This property states that when three or more numbers are multiplied, the product does not depend on how the numbers are grouped. Therefore, (a x b) x c equals a x (b x c).
In the given equation, we can see this property applied. 3.1x(2x9) can be rearranged as (3.1x2)x9 and the results of both expressions will be the same. This demonstrates that the grouping does not affect the result of the multiplication.
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Which number is 100 times greater than 6 thousandths
If a gambler rolls two dice and gets a sum of 10, he wins $10, and if he gets a sum of three, he wins $20. the cost to play the game is $5. what is the expectation of this game?
a. $3.06
b. -$2.78
c. -$3.06
d. $2.78
Final answer:
The expected value of the gambling game with a cost of $5, and potential winnings of $10 for a sum of 10 or $20 for a sum 3, is −$2.78. The calculation shows the player will lose $2.78 on average per game, indicating it is not a profitable game to play long term. So, option (b) is correct.
Explanation:
The student is interested in determining the expected value of a gambling game where rolling two dice can result in either winning money or losing the cost to play. To find the expected value, we must consider the probability of each outcome and its associated payoff.
First, we calculate the chances of rolling a sum of 10 with two dice. There are three combinations that give a sum of 10: (4,6), (5,5), and (6,4). Since there are 36 possible outcomes when rolling two dice, the probability of obtaining a sum of 10 is 3/36 or 1/12.
Similarly, the only combinations that result in a sum of 3 are (1,2) and (2,1). Thus, the probability of rolling a sum of 3 is 2/36 or 1/18.
The expected value (EV) can be calculated using the formula:
EV = (−cost to play) + [P(sum of 10) × winnings for 10] + [P(sum of 3) × winnings for 3]
Substituting the given values yields:
EV = (−5) + [(1/12) × 10] + [(1/18) × 20]
After calculating, we find tha-
EV = −$2.78.
Since the expected value is negative, this implies that, on average, the player will lose $2.78 per game. Therefore, playing this game would result in an average loss over time.
A pooled proportion is calculated by giving each sample proportion an equal weight.
a. True
b. False