Please please please help I cannot figure this problem out
Car A is traveling east at a steady speed of 60 miles per hour after 2 hours, it is 130 miles east of Johnstown. car B is traveling east on the same road. its distance east of Johnstown is represented by the graph.
Answers
Answer:
45 mph = x
Step-by-step explanation:
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Distance (D) = Rate (R) * Time (T)
For Car A:
D = 30T {Eqn 1}
For Car B:
The Distance D and the time T is the same as for Car A
But, unlike Car A, Car B travels at two different rates. It travels at 20mph for a time T1. Then it passes Car A and travels at a rate of x for a period of time T2.
D = (20T1) + (x * T2)
Note that T2 must equal the total time T minus T1, so
D = (20T1) + (x * (T - T1)) {Eqn2}
Substitute Eqn 1 into Enq 2 : 30T = 20T1 + xT - xT1
Rewrite as: 30T = 20T1 + x(T-T1) {Eqn 3}
At what point do the two cars pass one another?
Car A travels 30T1 = D1
Car B is traveling in the opposite direction at 20T1 = D2
D2 = D - D1 (where D is the total circular length of the track)
Substituting, 20T1 = D - 30T1. Or 50T1 = D {Eqn 4}
Now we can establish a relationship between T and T1 by substituting Eqn1 into Eqn4
D = 30T = 50T1
30T = 50T1
(30/50)T = T1
T1 = (3/5)T {Eqn 5}
Now substitute Eqn 5 into Eqn 3
30T = 20T1 + x (T-T1)
30T = 20(3/5)T+ x (T - 3/5 T)
30T = 12T + xT(2/5)
18T = (2/5)x
(5/2)18 = x
45 mph = x
Recall that x is the speed that Car B must travel after it passes Car A.
Related Questions
Can -0.05 be a probability?
Answers
Answer:
Yes
Step-by-step explanation:
Answer:
The probability of an event can only be between 0 and 1 and can also be written as a percentage. ... If P ( A ) > P ( B ) P(A) > P(B) P(A)>P(B)P, left parenthesis, A, right parenthesis, is greater than, P, left parenthesis, B, right parenthesis, then event A has a higher chance of occurring than event B.
so that means yes
Tickets to a basketball game can be ordered online for a set price per ticket plus a $5 service fee. The total cost in dollars for ordering 5 tickets is $110.00. Which linear function represents c, the total cost, when x tickets are ordered?
c(x) = 5 + 21x
c(x) = 5x + 21
c(x) = 5 + 25x
c(x) = 5x + 21x
Answers
Answer:
A, c(x)=5+21x
Step-by-step explanation:
`
2/7(x+4)=−6 solve for x
Answers
Answer:
x = -25
Step-by-step explanation:
solve for x by simplifying both sides of the equation, then isolating the variable.
Please help ASAP!!
If KL NM and KN ≈ KM, find NM and mMKN.
A. NM = 6; mK=70°
B. NM = 9; mK=35°
C. NM = 12; mK=55
D. NM = 12; mK=70
Answers
Answer:
D. NM=12; mK=70°
Step-by-step explanation:
KN≈KM so they have the same 55° and then
180°-55°-55°=70° and
6*2=12
Which of the following sequence of transformations takes point J(9, 1) to J’(-3, 7)?
reflected across x-axis and translated (x, y) → (x - 2, y - 2)
translated (x, y) → (x - 2, y + 2) and rotated 270° counterclockwise about the origin
rotated 90° counterclockwise about the origin and reflected across x-axis
translated (x, y) → (x - 2, y + 2) and rotated 90° counterclockwise about the origin
Answers
Answer:
translated (x, y) → (x - 2, y + 2) and rotated 90° counterclockwise about the origin
Step-by-step explanation:
The image point is in the 3rd quadrant, and the pre-image point is in the first quadrant. This means there has been any of ...
reflection across the y-axistranslationrotation 90° CCWThe only answer choice involving the appropriate rotation is ...
translated (x, y) → (x - 2, y + 2) and rotated 90° counterclockwise about the origin
__
Checking this, we have
(x, y) ⇒ (x -2, y +2) . . . . translation left 2, up 2
(x -2, y +2) ⇒ (-y -2, x -2) . . . . followed by 90° CCW rotation
J(9, 1) ⇒ J'(-3, 7) . . . . . consistent with the given image point
(1) alex has a collection of coins, consisting of nickels and dimes that total to $3.90. if the number of dimes is 4 more then 3 times the number of nickels. find the number
of each of coin. "please show the work"
(2)a satellite television company charges a one time installation fee and a monthly service charge.(A)use your equation from above to find out how many months(m)of television were used if the charges totaled $650.(B)write an equation for the total charges.(C)if they charge $75.per month(m) and a one time installation fee is $50.
The answer is 8months "i need help showing the work so please show the work."
Answers
Answer:
1. 10 nickels and 34 dimes
Step-by-step explanation:
Each time a machine is repaired, it remains up for an exponentially distributed time with mean 5 hours. When it fails, its failure will be a type 1 failure with probability 0.7 and a type 2 failure with probability 0.3. Type 1 failures take an exponential amount of time with mean 1 hour to repair. Type 2 failures take an exponential amount of time with mean 1.25 hours. The status of the machine can be monitored as a continuous-time Markov chain with states 0 (= working), 1 (= repairing a type 1 failure), 2 (= repairing a type 2 failure). The parameters for the continuous-time Markov chain are:______
Answers
What is the image point of (1,0)(1,0) after a translation right 1 unit and up 4 units?
Answers
Answer:
0,4
Step-by-step explanation:
T(X,Y)_____
Name a line segment parallel to RS
Answers
Answer:
PQ
Step-by-step explanation:
Parallel lines are a pair of lines in a plane that do not meet/intersect
A number is doubled and then the product is increased by 6. This sum is then multiplied by -3, and the result is 54 greater than three times the opposite of the number. What is the number? *
Answers
Answer:
-24Step-by-step explanation:
Let the number be x
Then we have the equation
(2x + 6)*(-3) = -3x + 54 -6x - 18 = -3x + 546x - 3x = -18 - 543x = -72x = -72/3x = - 24let the number be "x" .
now according to the given question ;
(2x+6)×(-3)=-3x +54 -6x -18 = -3x + 54 6x - 3x = -18-543x = -72x = -72/3x = -24 The required answer is -24 .Evaluate the expression for j = -5.
6 -
Answers
Answer:
1
Step-by-step explanation:
The bars around the j mean absolute value, meaning any number inside those brackets, you make it positive. So, 6-5=1
Question Progress
"HOT PIZZA” is offering a 20% discount on all its pizzas.
Tim orders a pizza for the reduced price of £7.20
What was the original price of the pizza?
Answers
Answer:
the answer is £1.44
Step-by-step explanation:
hope this helps
Tyler's mom purchased a savings bond for Tyler. The value of the savings bond increases by 4% each year. One year after it was purchased, the value of the savings bond was $156. Find the value of the bond when Tyler's mom purchased it. Explain your reasoning
Answers
Answer:
I think it is 6.24
Step-by-step explanation:
not really sure
Answer:
150
Step-by-step explanation:
The graph shows a function that models the value V (in millions of dollars) of a stock portfolio as a function of time t (in months) over a 18-month period.
Answers
Answer:
Option (A)
Step-by-step explanation:
Graph attached shows a function that models the value V of a stock portfolio as a function of time.
y-values on the graph shows the value of V and x-values represent the time.
Lowest point of the curve shows the minimum value of V and highest point of the curve shows the maximum value.
Maximum value of the function → 6.93 at t = 4
Minimum value of the function → 1.05 at t = 15
Therefore, Option (A) will be the answer.
so, my teacher barley taught us this yesterday and i'm still having trouble with some questions, could anyone please help? ( this is 7th grade math )
Answers
5.) x>20
11.)x≤−15
13.)x≥−21
2.)x≤−7
6.)x≤−45
10.)x≤10
12.)x≥−12
16.)x≤−4
Answer:
2. x ≤ -7
5. x > 36
6. x ≤ -40
10. x ≤ 10
11. x ≤ -15
12. x ≥ -12
13. x ≥ -21
16. x ≤ -4
Step-by-step explanation:
2. x ≤ -7 (You want to add 8 to both sides like any equation, but don't forget it is an inequality, not an equation!)
5. x > 36 (You need to multiply by 2, to get rid of the division. So multiply both sides by 2, that gets rid of the 2 on the one side, and you get 36 on the other side when you multiply 18 by 2).
6. x ≤ -40 (You need to multiply by -5. REMEMBER: When you multiply or divide by a negative, you switch the sign. So if it is a < then it would be a > and same with if you had ≤ then it would be ≥ instead).
10. x ≤ 10 (You need to divide by -2. And once again you switch the signs).
11. x ≤ -15 (Add 8, like you did in number 2).
12. x ≥ -12 (Multiply by 6. REMEMBER: Do NOT switch the signs if you the number you are dividing by is in the numerator, or if you multiply and the negative number is first, UNLESS you have 2 negatives.
13. x ≥ -21 (Multiply by 7).
16. x ≤ -4 (Divide by 10).
880,005 rounded to the nearest hundred thousand is
Answers
Answer:
900,000
Step-by-step explanation:
Write each equation in slope-intercept form.
19. y - 4 = 3(x - 2)
20. y + 2 = -(x + 4)
21. y - 6 = -2(x + 2)
22. y + 1 = -5(x - 3)
23. y - 3 = 6(x - 1)
24. y - 8 = 3(x + 5)
Answers
Answer:
Lol, here is the answer again. Good luck
How do you these two questions?
Answers
Answer:
a) A = 3π/16
b) A = ∑₂°° (π/n⁴) = π⁵/90 − π
Step-by-step explanation:
(a) The area between the curve and the x-axis is:
A = ∫ₐᵇ y (dx/dt) dt
x = ½ (1 − cos t) cos t
dx/dt = ½ (1 − cos t) (-sin t) + ½ sin t cos t
dx/dt = -½ sin t + ½ cos t sin t + ½ sin t cos t
dx/dt = -½ sin t + sin t cos t
dx/dt = -½ sin t (1 − 2 cos t)
y dx/dt = -½ sin t (1 − 2 cos t) × ½ (1 − cos t) sin t
y dx/dt = -¼ sin²t (1 − 3 cos t + 2 cos²t)
y dx/dt = -¼ sin²t + ¾ sin²t cos t − ½ sin²t cos²t
y dx/dt = ⅛ (-2 sin²t) + ¾ sin²t cos t − ½ (sin t cos t)²
y dx/dt = ⅛ (-1 + 1 − 2 sin²t) + ¾ sin²t cos t − ½ (½ sin(2t))²
y dx/dt = ⅛ (-1 + cos(2t)) + ¾ sin²t cos t − ⅛ sin²(2t)
y dx/dt = -⅛ + ⅛ cos(2t) + ¾ sin²t cos t + ¹/₁₆ (-2 sin²(2t))
y dx/dt = -⅛ + ⅛ cos(2t) + ¾ sin²t cos t + ¹/₁₆ (-1 + 1 − 2 sin²(2t))
y dx/dt = -⅛ + ⅛ cos(2t) + ¾ sin²t cos t + ¹/₁₆ (-1 + cos(4t))
y dx/dt = -⅛ + ⅛ cos(2t) + ¾ sin²t cos t − ¹/₁₆ + ¹/₁₆ cos(4t)
y dx/dt = -³/₁₆ + ⅛ cos(2t) + ¾ sin²t cos t + ¹/₁₆ cos(4t)
A = ∫₀ᵖⁱ [-³/₁₆ + ⅛ cos(2t) + ¾ sin²t cos t + ¹/₁₆ cos(4t)] dt
A = -³/₁₆ t + ¹/₁₆ sin(2t) + ¼ sin³t + ¹/₆₄ sin(4t) |₀ᵖⁱ
A = [-³/₁₆ π + ¹/₁₆ sin(2π) + ¼ sin³π + ¹/₆₄ sin(4π)] − [0 + ¹/₁₆ sin(0) + ¼ sin³0 + ¹/₆₄ sin(0)]
A = -³/₁₆ π
We got a negative answer because the graph traces to the left (x decreases as t increases). So the area is simply ³/₁₆ π.
b) Each circle has radius 1/n², so the area is π (1/n)² = π/n⁴.
The sum of the areas from n=2 to n=∞ is:
A = ∑₂°° (π/n⁴)
A = ∑₁°° (π/n⁴) − π
A = π ∑₁°° (1/n⁴) − π
A = π (π⁴/90) − π
A = π⁵/90 − π
1/ (12b + 5) for b = 5/6
Answers
Answer:
1/15
Step-by-step explanation: Just equate the values like my last ans
Answer:
Step-by-step explanation:
Step 1:
Put value of b = 5/6
1/(12(5/6)+5
1/60/6 +5
1/10+5
Answer:
1/15 or 0.06666
on Monday it rained 1 3/4 of an inch and on Tuesday it rained 2 2/3 of an inch. how many inches did it rain altogether?
Answers
Answer:
4 5/12
Step-by-step explanation:
Convert to mixed fraction 7/4 + 8/3
Find common denominator, 12
21/12 + 32/12
add numerators (21+32)/12 = 53/12
reduce fraction 4 5/12
Bone-shaped treats are 5 for $3.50 at Shelley’s store and Sarah wants to buy 12. She set up and solved this proportion to find how much they would cost. Describe her error and find the correct solution.
5
3.5
=
12
x
3.5x = 60
x = $17.14
Answers
Answer:
Sarah multiplied the denominator by the denominator and the numerator by the numerator instead of finding the cross products. The equation should be 5x = 42, so the cost should be $8.40.
Step-by-step explanation:
Can I get brainliest?
3(4.x – 5) - 4x +1= -6
please help I don’t really understand
Answers
Answer:
Your answer is that X=1
Answer:
The answer is 1.
Step-by-step explanation:
12x-15-4x+1 = -6
8x = 8
Therefore x = 1
Kelsey wants to buy a new video game.
he has a $50 gift card and wants to spend less than $20 on his own money.
which of the following amounts would kelsey be willing to spend on the video game?
a. $75
b. $70
c. $65
Answers
Answer: c: $65
Step-by-step explanation:
Simplify 3x*3y^2/9xy^5 and explain please
Answers
Let R be a relation on a collection of sets defined as follows,
R={(A,B)|A⊆B}
Then pick out the correct statement(s).
1) R is reflexive and transitive
2) R is symmetric
3) R is antisymmetric.
4) R is reflexive but not transitive
Answers
Answer:
Options 1) and 3) are correct.
Step-by-step explanation:
R={(A,B)|A⊆B}
Reflexive:
As A⊆A, [tex](A,A)[/tex]∈ R.
So, R is reflexive
Symmetric:
Let [tex](A,B)[/tex]∈ R. So, A⊆B
Take [tex]A=\{1,2\}\,,\,B=\{1,2,3,4\}[/tex]
Here, A⊆B but B⊄A
So, [tex](B,A)[/tex]∉ R
R is not symmetric
Transitive:
Let [tex](A,B)[/tex]∈ R and [tex](B,C)[/tex]∈ R
So, A⊆B and B⊆C.
Therefore, A⊆C
So,
[tex](A,C)[/tex]∈ R
Hence, R is transitive.
Option 1) is correct.
Antisymmetric:
Let (A,B)∈R and (B,A)∈R
So, A⊆B and B⊆A
Hence, A = B
So, R is antisymmetric
Option 3) is also correct.
Which equation is an identity? O 3(x - 1) = x + 2(x + 1) + 1 O x-4(x + 1) = -3(x + 1) +1 O 2x + 3 = 1 = 1 (4x + 2) + 2 01 1 (6x – 3) = 3(x + 1) - x-2
HURRY!!!!
Answers
Answer:
Step-by-step explanation: C. 2x+3=1/2(4x+2)+2 hopes this helps:)
The equations that are identities are option B x – 4(x + 1) = –3(x + 1) + 1 and option C 2x + 3 = 1/2(4x + 2) + 2.
To check which equation is an identity, we need to simplify each equation and see if it is true for all values of x.
A. 3(x – 1) = x + 2(x + 1) + 1
Expanding the right side:
3(x – 1) = x + 2x + 2 + 1
3x – 3 = 3x + 3-3 = 3
This is a contradiction and cannot be true for any value of x. Therefore, option A is not an identity.
B. x – 4(x + 1) = –3(x + 1) + 1
Expanding both sides:
x – 4x – 4 = –3x – 3 + 1
-3x – 3 = -3x – 3
This equation simplifies to -3x - 3 = -3x - 3, which is true for all values of x. Therefore, option B is an identity.
Similarly,
Option C is an identity.
Option D is not an identity.
Learn more about equations here:
brainly.com/question/10413253
#SPJ7
B=10, 20 30, 40, 50, , in set builder notation
Answers
Answer:
40
Step-by-step explanation:
bexause u are a kid so dont ask this question again
Four times the sum of a number and 20 is at most -17
Answers
Answer:
4(20+b)≤-17
Step-by-step explanation:
I hope this helps!
If a standard die is rolled twice, what is the probability that it lands on a
number greater than 4 both times?
Answers
The jewelry store had a watch sale for Father’s Day. The watch I want is priced $75 but is on sale for 40% off what, is the sale price of the watch?
Answers
Answer:
$45
Step-by-step explanation:
The watch was sold on sale of 40%. This means that the price of the watch on sale is 60% of the original price. (100%-40%=60%)
So, you find the 60% of the original price, $75.
75*0.6=45
Hope that helps!!!