Answer:
6,520 miles per year
Step-by-step explanation:
53,790 divided by 8.25 equals 6,520
A particle moves along a straight line with the equation of motion s = t^{5} - 2 t^{4} Find the value of t (other than 0 ) at which the acceleration is equal to zero.
Answer:
t = 8/5
Step-by-step explanation:
I'm assuming the equation given is the velocity of the particle
Derive the equation
[tex]5t^4 - 8t^3[/tex]
Set it equal to 0 & solve for t
[tex]0 = 5t^4 - 8t^3\\8t^3 = 5t^4\\8 = 5t\\\frac{8}{5} = t[/tex]
The value of time at which acceleration is zero is required.
The required value of [tex]t=1.2\ \text{s}[/tex]
The function of motion is
[tex]s=(t)^5-2t^4[/tex]
Differentiating with time we get velocity
[tex]s'=5t^4-8t^3[/tex]
Again differentiating with time we get acceleration
[tex]s''=20t^3-24t^2[/tex]
Now acceleration [tex]s''=0[/tex]
[tex]0=20t^3-24t^2\\\Rightarrow 20t^3=24t^2\\\Rightarrow t=\dfrac{24}{20}\\\Rightarrow t=1.2\ \text{s}[/tex]
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What is the remainder after you divide 7*7*7... 124 times by 4
Answer:
1
Step-by-step explanation:
Remainder if 7*7*7... 124 times is divided by 4
The remainder when (7^124) / 4
Using python console:
a = 7**124
b = 4
c = a%b
print(c)
Output = 1
Hence, the remainder when 7^124 is divided by 4 is 1
4x - 2y = -20
7x + 2y = -2
Answer:
(-2, 6)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingStep-by-step explanation:
Step 1: Define systems
4x - 2y = -20
7x + 2y = -2
Step 2: Rewrite systems
4x - 2y = -20
Add 2y to both sides: 4x = 2y - 20Divide 4 on both sides: x = 1/2y - 5Step 3: Redefine systems
x = 1/2y - 5
7x + 2y = -2
Step 4: Solve for y
Substitution
Substitute in x: 7(1/2y - 5) + 2y = =-2Distribute 7: 7/2y - 35 + 2y = -2Combine like terms: 11/2y - 35 = -2Add 35 to both sides: 11/2y = 33Isolate y: y = 6Step 5: Solve for x
Define original equation: 7x + 2y = -2Substitute in y: 7x + 2(6) = -2Multiply: 7x + 12 = -2Subtract 12 on both sides: 7x = -14Divide 7 on both sides: x = -2Step 6: Graph systems
Check the system.
Please help! I really need help please I will give Brainliest!
x + 2x + 12y + x
Part A: Using the expression shown, add like terms and produce an equivalent expression.
Please do B too
Part B: Rewrite your expression from Part A using the distributive property.
Answer:
A) 4x+12y
B) 2(2x+6y) is one way to do it
Step-by-step explanation:
1+1+2 is 4 and 12y cannot be added to anything.
2 x 2 is 2 ans 6 x 2 is 12
Pls help it is due today!!!!!
Answer:
BRUH THIS WAS ON MY TEST AND BRUH HONESTLY I HAVE NO CLUEE
Answer:
A
Step-by-step explanation:
Please someone help me graph the table on to the graph and tell me if it is a linear and nonlinear and explain how it is a linear or a nonlinear
Answer:
linear
Step-by-step explanation:
m = [tex]\frac{difference-- between-- y-coordinats}{difference-- between-- x-coordinats}[/tex] = [tex]\frac{-4}{1}[/tex] = - 4 ⇒ [1 - 1, 10 - ( - 4)] = (0, 14) is y-coordinate.
equation of the function is y = - 4x + 14 ⇒ function is linear
PLEASE HELP ME QUICK!!A train moves at a constant speed of 8 miles every 6 minutes. Fill in the table below to show how far the train travels according to different
amounts of time.
Answer:
1. 4
2. 20
3. 80
Step-by-step explanation:
the sunshine Club collected 524 cans for a canned food drive. the cans were then split up equally into 8 boxes.
Part A how many can were in each box?
Part B how many can were left over after the boxes were filled?
20 POINTS N BRAINLIEST 16. Alun has a part-time job working as a bus boy at a
local restaurant. He earns $34 a night plus 5% of
the tips.
a) Write an equation for Alun's total earnings,
E dollars, when the tips are t dollars.
b) What will Alun earn when the tips are $400?
Explain your strategy.
c) What were the nightly tips when Alun earned
$64? Explain your strategy.
Answer:
a)E=0.05t+34, b)E=54 dollars, c)t=600 dollars
Step-by-step explanation:
a) Alun's earn equation is
E=0.05t+34
b) when t=400, then
E=0.05(400)+34
E=20+34
E=54
c) when E=64, then
64=0.05t+34
hence
0.05t=64-34
0.05t=30
[tex]t=\frac{30}{0.05}[/tex]
t=600
At his birthday party, Mr Green would not directly tell how old he was. He said, "If you add the year of my birth to this year, subtract the year of my tenth birthday and the year of my fiftieth birthday, then add my age, the result is 122". How old is Mr Green
Answer:
61 years old in the year 2020Step-by-step explanation:
Let us assume the question was asked in the year 2020, that is this year
Say that Mr. Green was born in year x
The mathematical expression for his statement is given as
[tex]x + 2020 - (x + 10 + x + 50) + (2020 - x) = 122[/tex]
Solve for x
x + 2020 + 2020 - x - x - 60 - x = 122
4040- 122- 2x = 0
3918= 2x
divide both sides by 2
3918/2= x
x=1959
He was born in 1959, so now
he is (2020-1959)
=61 years old.
What is the square root of 153 divided by 13
plz help me fast
Answer:
About 0.95
Step-by-step explanation:
Answer:
0.9514859136
Step-by-step explanation: I use calculator lol
A bakery made 9 cakes using 3 bags of flour. The bakery uses the same relationship between cakes made and the amount of flour used to make all of their cakes. Which table of values shows the relationship between the number of cakes the bakery makes to the number of bags of flours the bakery uses?
Answer:
c = 3b
Step-by-step explanation:
9 cakes proportional to 3 bags of flower
cake = k(bag)
c = kb
9 = k(3)
k = 3
c = 3b
you didn't send any table of values but this is the relationship between the cakes and flour, you can use it.
please mark brainliest if you like the answer
Joe has saved $30. He earns $7.50 per hour at his job. He plans to buy a plane ticket to Florida for $300. Enter the minimum number of hours Jon must work in order to buy the plane ticket to Florida.
Answer:
30 hours
Step-by-step explanation:
300 - 30
270/7.5
Zoey can tile 1 1/4 square yards in 1/3 hour. What is her unit rate?
Carli and Angela share a cell phone plan and split the bill each month. Last month, their total bill was $109. Carli went over her data limit on her phone, so her share of the bill was $15 more than Angela's to account for the overage charge. Which system of equations represents this situation?
A. c+a=15
c=a+109
B. c+a=109
c=a+15
C. c+a=109
a=c+15
D. c-a=15
c=a+109
Answer:
C
Step-by-step explanation:
which expression is equivalent to mn+z
PLEASE HELP ME WITH ME MATH In a survey of 3500 people who owned a certain type of car, 1750 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
50%
Step-by-step explanation:
3500 divided by 1750 is 2 which is equal to 50%
How many numbers can be squared to get a value of 0?
Answer:
1
Step-by-step explanation:
0^2 equals 0 but 1 and -1 the numbers closest equal 1 so only one number can be squared to get 0
Select all that apply.
Which of the following are proportions?
25/10 = 5/2
3/4 = 8/10
2/8 = 3/12
3/4 = 15/20
Answer:
Step-by-step explanation:
3/4=15/20 are proportions
For every 3 you get a 4
So 5*3= 15 and 5*4=20
25/10 = 5//2 is another one.
Answer:
25/10 = 5/2
3/4 =15/20
Step-by-step explanation:
4^4÷4^7 as a fraction
Answer: multiply it by the bisector of the photosynthesis.
obviously
Step-by-step explanation:
Simplify the expression below: (3−13)2+1442−5·2
Answer:
1412
Step-by-step explanation:
2*(3 - 13) + 1442 - (5 * 2)
Distribute the 2 to the 3 and -13, and multiply 5 and 2 together.
6 - 26 + 1442 - 10
Now simplify the expression by adding and subtracting the terms.
1412 is the answer.
#teamtrees #WAP (Water And Plant)
Find the value of f(3) for the function. f(3)=-5(x+5)
Answer:
Step-by-step explanation:
f(3)=-5(x+5)
=5(3) +5
=15+5
f(3) =20
Find tan θ if sec θ = root 37/6 and sin θ < 0
A family drove from home to truckee at 55 mph and returned the same route at 40 mph due to a snow storm. the total travel time was 4.75 hours. Determine the distance between their home and truckee
Answer:
1.3245
Step-by-step explanation:
A high school has 28 players on the football team. The summary of the players' weights is given in the box plot. Approximately, what is the percentage of players weighing greater than or equal to 242 pounds?
Answer:
25%
Step-by-step explanation:
Looking at the attached diagram, we can see that the box plot is divided into 3 sections,
Q1 = First Quartile (1/4 the players) = 25%
Q2 = Second Quartile (2/4 = 1/2 of the players) = 50%
Q3 = Third Quartile (3/4 of the players) = 75%
From the attached diagram, the weight of 242 pounds is on the Third Quartile, this means , 75% of the players weigh 242 pounds and below
The percentage of players weighing greater than or equal to 242 pounds is calculated as: 100 - 75%
= 25%
The percentage of players weighing greater than or equal to 242 pounds is 25 %.
Quartile of Data ;From the attached diagram, we can see that the box plot is divided into 3 sections.[tex]Q_{1}[/tex] = First Quartile , which represent [tex]\frac{1}{4}[/tex] part of the player. That is 25%[tex]Q_{2} =[/tex] Second Quartile ,which represent 1/2 of the players= 50%[tex]Q_{3}=[/tex]Third Quartile , which represent 3/4 of the players = 75%From the attached diagram, the weight of 242 pounds is comes on the Third Quartile.
It means that 75% of the players weigh 242 pounds and below
Hence, The percentage of players weighing greater than or equal to 242 pounds is,
[tex]100-75=25[/tex]
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Multiply 1 4/5 * 1 ???
Answer:
9/5 or 1 4/5
Step-by-step explanation:
You’re welcome :)
Answer:
your answer will come to be 1.8
by mathematical induction 1.2²+2.3²+.....+n(n+1)(n+2)(3n+5)/12
Step-by-step explanation:
1.2+2.3+3.4+⋯+n(n+1)=∑k=1nk(k+1)
=∑k=1n(k2+k)
=∑k=1n(k2)+∑k=1n(k)
=n(n+1)(2n+1)6+n(n+1)2
=n(n+1)6(2n+1+3)
=n(n+1)6(2n+4)
=n(n+1)6[2(n+2)]
=n(n+1)(n+2)3
a square has a perimeter of 52 mm. The square is dilated by a scale factor of 3. what is the side length of the resulting image?
Answer:
39
Step-by-step explanation:
Since a square has 4 equal sides, it's safe to do [tex]\frac{52}{4}[/tex] to get each side length (each side is 13 mm).
Dilating a side means you're multiplying it by the scale factor. This means that you're doing [tex]13*3[/tex] to each side (each side is 39 mm).
6 friends all use $2 off coupons to buy themselves movie tickets. They spend a total of $42 Write the equation
Answer:
(C / n) + 2
Step-by-step explanation:
Amount spent (C) = 42
Number of friends (n) = 6
Coupon on ticket = $2
Original price of ticket will be :
Cost per coupon ticket = (Total amount spent / number of friends)
(Total amount spent / number of friends) + coupon on ticket
= (C / n) + 2
= (42 /6) + 2
= 7 + 2
= 9
When Emma was born she was 20.5 inches long. At her 6-month checkup, she was 26.25 inches long.
Answer:
Um so then what is the question???
Step-by-step explanation:
Answer:
`She grew 5.75?
Step-by-step explanation:
I don't really know what the full question is, but if I saw that in a test and nothing else than I would put what the answer says lol