Answer:
a. The car sweeps out 0.799 radians per second.
b. f(t) = 8 cos (0.799t)
Step-by-step explanation:
Given that:
The radius r = 8 feet
a.
The time t it takes to complete one full lap = 7.854 seconds
Recall that:
Angular velocity ω = 2π / t
So if in 7.854 seconds, the car sweeps = 2π radian
∴
per second, the car will sweep ω = 2π/ 7.854
ω = 0.799 rad/sec
Thus, the car sweeps out 0.799 radians per second.
b.
Since, r = 8 feet.
Suppose the car travels an angle θ in time (t),
Then the general equation for the horizontal component is:
f(t) = rcos( ωt)
f(t) = 8 cos (0.799t)
The true statements are:
The car swept out [tex]0.255 \pi[/tex] radians per secondsThe function f that determines the car's distance at time t is: [tex]f(t) = 8\cos( 0.255\pi t)[/tex]The given parameters are:
Radius = 8 feetTime = 7.584 seconds(a) The radian swept per secondsTo do this, we simply calculate the angular velocity as follows:
[tex]\omega = \frac{2\pi}{T}[/tex]
Substitute 7.854 for T
[tex]\omega = \frac{2\pi}{7.854}[/tex]
Simplify
[tex]\omega = 0.255 \pi[/tex]
Hence, the car swept out [tex]0.255 \pi[/tex] radians per seconds
(b) The function at time tTo do this, we simply make use of the general equation for the horizontal component as follows:
[tex]f(t) = r\cos( \omega t)[/tex]
Substitute 8 for r
[tex]f(t) = 8\cos( \omega t)[/tex]
Substitute [tex]\omega = 0.255 \pi[/tex]
[tex]f(t) = 8\cos( 0.255\pi t)[/tex]
Hence, the function f that determines the car's distance at time t is: [tex]f(t) = 8\cos( 0.255\pi t)[/tex]
Read more about angular velocity at:
https://brainly.com/question/6860269
Mel can walk 1 mile in 18 minutes. If she stays at the same rate, how far can she walk in 45 minutes?
Answer:
2.5 miles
Step-by-step explanation:
45 ÷ 18 = 2.5 miles
PS: please mark as brainliest! I hope this answer helps!
Mel can walk 2.5 miles in 45 minutes. All you have to do is 45/18. Remember this for the future, it will help in high school.
Manuel and Felicia are comparing how much
money they have
• Manuel has $250.
• He saves $150 per week,
• Felicia has $1,650.
• She spends $200 per week.
• Let x = the number of weeks
• Let y = the amount of money at the end
of the week.
Which system of equations represents this
situation?
Answer:
y = 250 + 150xy = 1650 - 200xStep-by-step explanation:
Equation for Manuel:
y = 250 + 150xEquation for Felicia:
y = 1650 - 200xSolving we get:
250 + 150x = 1650 - 200x150x + 200x = 1650 - 250350x = 1400x = 1400/350x = 4 weeksand
y = 250 + 150*4 = 250 + 600 = $850After 4 weeks Manuel and Felicia will have equal amount of money- $850
4.2 Weekend Earnings (Will get brainlyest ¡ please respond)
Jada has time on the weekends to earn some money. A local bookstore is looking for someone to help sort books and will pay $12.20 an hour. To get to and from the bookstore on a work day, however, Jada would have to spend $7.15 on bus fare.
Write an equation that represents Jada’s take-home earnings in dollars, if she works at the bookstore for hours in one day.
Answer:
Step-by-step explanation:
12.20h-7.15=E
Chet started to slow his eating speed down later in the evening. He was
now eating only 1/4 of a turkey every 2 hours. What was his unit rate
later in the evening?
Answer:
The unit rate is:
1/8 turkey/per hour.Step-by-step explanation:
As Chet was eating 1/4 of a turkey every 2 hours.
This tells us that every two hours, Chet will eat 175 1/4 of a turkey.
Unit rate basically means 'how much of something per 1 unit of something else'.A unit rate is a rate with a denominator of 1 unit.
This means, in 1 hour, Chet will eat half of what he eats every 2 hours.
so Chet will eat [tex]\frac{\frac{1}{4}}{2}=\frac{1}{8}[/tex] of a turkey in 1 hour.
i.e.
[tex]\frac{\frac{1}{4}}{2}=\frac{1}{8}[/tex]
Therefore, the unit rate is:
1/8 turkey/per hour.3. g(x) = -5x
Describe the transformations to the following graph
Geneva already has $3.00 and earns $2.50 for each chore she completes. She wants to download an album on Apple Music which is at least $17. Write an inequality in terms of c (chores) that represents this situation.
Answer:
c ≤ 6
Step-by-step explanation:
Lets make our equation!
2.5 per chore thats our slope
+3 she starts with 3 dollars
y = 2.50x +3
Substitute y for 17!
17 = 2.5x +3
Subtract 3!
14 = 2.5x
Divide both sides by 2.5!
x = 5.6
5.6 --> 6
x = 6
Turn it into an inequality!
c ≤ 6
Consider Brainliest! Hope I helped!
(-3.5)(-2) please help :)
Answer:
7 is the answer
Step-by-step explanation:
what is the slope. please hurry up
Answer:
The slope is 1/2
Step-by-step explanation:
m=y²-y¹/x²-x¹
m=2-1/4-2
m=1/2
raised the points and will mark u as brainliest please help.
Answer:
1. x = 102. x = -63. 944. x = 2Step-by-step explanation:
1. F and M are equal angles and sum of internal angles = 180, so
2(7x + 5) + 30 = 18014x + 10 + 30 = 18014x = 140x = 102. Triangle is equilateral as all angles are equal, so all sides are equal:
4x + 43 = -2x + 74x + 2x = 7 - 436x = -36x = -63. Isosceles triangle with equal angles of R and T:
4x + 7 = 7x - 20 (using values as per picture not text)7x - 4x = 20 + 73x = 27x = 9Angle S is
180 - 2(4*9 + 7)= 180 - 2(43) = 180 - 86 = 944. Angle 2 is supplementary with 156 as isosceles triangles and vertical angles are equal, therefore:
180 - 156 = 6 + 9x24 = 6 + 9x18 = 9xx = 2Determine the intercepts of the line.
-4x + 7 = 2y - 3
y-intercept:
X-intercept:
Answer:
x=-1/2y , +3/4b, 7/4 this is the answer
The y-intercept is (0, 5) and the x-intercept is (2.5, 0).
What is an intercept of the straight line?In the context of a straight line in a two-dimensional plane, an intercept refers to the point(s) where the line intersects with one or both of the coordinate axes (i.e., the x-axis and the y-axis).
To find the y-intercept, we set x = 0 and solve for y:
-4(0) + 7 = 2y - 3
7 = 2y - 3
2y = 10
y = 5
Therefore, the y-intercept is (0, 5).
To find the x-intercept, we set y = 0 and solve for x:
-4x + 7 = 2(0) - 3
-4x + 7 = -3
-4x = -10
x = 2.5
Therefore, the x-intercept is (2.5, 0).
To know more about an intercept follow
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During a football game, the parents of the players are selling pretzels and popcorn to make money. They charge $2.50 for a bag of popcorn and $2 for a pretzel. The parents collect $336 in sales. They sell twice as many bags of popcorn as pretzels.
Write a system of equations to represent the situation.
How many pretzels did they sell?
Answer:
The parents sell 48 pretzels.
Step-by-step explanation:
Let a be the number of bags of popcorn sold, and b the number of pretzels sold.
2.5a + 2b = 336
a = 2b
2.5a + a = 336
3.5a = 336
a = 96
b = 48
If 7^9/7^n = 7^3, then n is___.
12
01
-3
3
Answer: 6, but it isn't in your answer choices
Step-by-step explanation: When dividing exponents with the same base, subtract the bottom exponent from the top. In this case, you get 3 from subtracting n from 9, so n should be 6
Which list contains three multiples of 6?
A.
12, 16, 24
B.
18, 24, 36
C.
16, 26, 36
D.
60, 66, 69
Answer:
Step-by-step explanation:
Since 18,24,36 all three are divided by 6
So option B is the correct option
Answer to this please!
Answer:
the answer is 56
Step-by-step explanation:
Answer:
The measure to angle 2 is 44.
Step-by-step explanation:
The segment towards the bottom is a straight line meaning it should equal 180°. 180 - 68 = 112. A triangle should equal 180° as well... so you add 112 to 24, then subtract that value from 180: 180 - 136 = 44
Please solve, need help quick
Answer:
In my thought it's angle L
Step-by-step explanation:
Hope it's will help you.
Answer:
it's angle l ..................
3s - 4 = 8
cant figure it out
Answer:
3s = 8+4
3s = 12
s = 12/3
s = 4
Uniforms are sold in packages of 8. The store's 137 employees will each be given 4 uniforms. How many uniforms will the store need to order all together?
Answer:
552 uniforms (69 packages)
Step-by-step explanation:
since each employee will be given 4 uniforms and each package contains 8 uniforms, you need 1 package of uniforms for every 2 employees.
Total number of employees = 137
total number of uniform packages = 137 / 2 = 68.5 packages which must be rounded up since you need to have enough uniforms for everyone = 69 packages
69 packages x 8 uniforms per package = 552 uniforms
3) Where do planes M and NJF intersect?
A. KJH
B. FG
C. JFG
D.GN
Answer:
C) JFG BECAUSE THAT IS WERE IT CROSSES AT
Answer:
the origen is where they all start
9y2 and 9y
like terms or unlike terms
Answer:
unlike terms
Step-by-step explanation:
since the first 9y is squared they cannot be combined since the other isn't squared, they cannot be simplified, nor are they alike
Tom has a fair spinner with six sides. They are labelled red, red, blue, green, red, blue. Choose the word that best describes the likelihood that the spinner will land on a colour not green.
Answer:
It is MOST LIKELY NOT going to land on green.
Step-by-step explanation:
Since the spinner has 6 sides, the total possible outcome is 6. There are 3 reds, 2 blues and 1 green.
The probability that the spinner will land on a green is [tex]\frac{1}{6}[/tex]. But since we are looking for the probability that it won't land on green, we have [tex]1 $-$ \frac{1}{6} = \frac{5}{6}[/tex]
From here we can best describe the likelihood that the spinner will land on a colour not green as: it is MOST LIKELY NOT going to land on green
Determine the solution to the equation. 8+4x=2x+8+2x
Answer: x= all real numbers.
Step-by-step explanation: Simplify the equation first. 8+4x=2x+8+2x. Add the variables on the right side. 4x+8=4x+8. Because the two sides are exactly equal, x can be all real numbers.
Answer:
8=8
Step-by-step explanation:
8+4x=2x+8+2x
combine like terms
8+4x=4x+8
subtract 4 from both sides
8=8
I HOPE THIS HELPED!!!!
What additional information could
be used to prove the triangles
similar using AA-?
Answer:
.
Step-by-step explanation:
what is 2+2 and what is your favorite song?
Answer:
2+2=4 and my fave song is blood in the water
Step-by-step explanation:
Mark Deathshot brainliest
Answer:
4 and i see a dreamer
Step-by-step explanation:
2/5+4/7 = Simplified
Answer:
exact form:34/35
Step-by-step explanation: combine the fractions by finding the common denominator i guess
Approximately how much principal would need to be placed into an account earning 1.58% interest compounded monthly so that it has an accumulated value of $90,597 at the end of 25 years?
Answer:
The initial investment is $821.58
Step-by-step explanation:
Giving the following information:
Future Value (FV)= $90,597
Number of periods (n)= 25*12= 300
Interest rate (i)= 1.58% = 0.0158
To calculate the initial investment, we need to use the following present value (PV) formula:
PV= FV/(1+i)^n
PV= 90,597 / (1.0158^300)
PV= $821.58
The initial investment is $821.58
julissa gave out an equal number of oranges to each of the 6 apartments on her floor. if she gave each apartment 5 oranges how many oranges did julissa give out in all
(6th grade math)
yasiara has 3/4 of cake. she wants to divide it up into 1/12 size pieces. how many pieces will she have?
Answer:
9
Step-by-step explanation:
Multiply the denominator of 3/4 to get the same denominator as 12 which would be 3 so that makes it 9/12
Bella is working on the world record for longest beaded necklace. She has 10,000 glass beads that have a diameter of 0.4 cm. If she strings these beads end to end, how long will her necklace be.
Answer:
The necklace will be 4,000 cm long
Step-by-step explanation:
Here we want to calculate the length of the necklace
Mathematically, that would just be the product of the beads and the diameter of each bead
Hence, we have
10,000 * 0.4 = 4,000 cm
The average distance a swimmer swims
can be described by the equation
d= 30t, where d is the
horizontal
distance in meters and tis the time
in minutes. Find the distances the
swimmer swims at the times of 7, 10, 14,
and 20 minutes.
Answer:
the distance for 7 minutes is 210m
the distance for 10 minutes is 300m
the distance for 14 minutes is 420m
the distance for 29 minutes is 600m
Step-by-step explanation:
d=30(7)
d=210
d=30(10)
d=300
d=30(14)
d=420
d=30(20)
d=600
If an item has an original price of $80 and has been discounted 20%, what is the sale price?
Answer:
$64
Step-by-step explanation:
Since 20% is 0.20 and a whole is 1.00, to discount the price, we have to subtract the whole value by the discount value 1.00-0.20=0.80
Then we have to find 80% of 80
80%=0.80
0.80*80=64
The sale price is $64