Answer:
Approximately [tex]\text{$0.26$ radian}[/tex] every minute.
Step-by-step explanation:
Convert the unit of velocity (kilometers-per-hour) to meters-per-minute so as to match the unit of radius (meters) and angular velocity (per-minute.)
[tex]\begin{aligned}v &= 11\; \rm km \cdot h^{-1} \\ &= 11 \times \frac{1000\; \rm m}{1\; \rm km} \times \frac{1\; \rm h}{60\; \text{minute}} \\ &\approx 183.33\; {\rm m} \cdot\text{minute}^{-1}\end{aligned}[/tex].
Calculate the circumference of this circle:
[tex]\begin{aligned}c &= 2\,\pi\, r \\ &= 2 \, \pi \times 700\; \rm m \\ &\approx 4398.2\; \rm m\end{aligned}[/tex].
Find the time required (in minutes) for this vehicle to go around this circle:
[tex]\begin{aligned}\frac{4398.2\; \rm m}{183.33\; {\rm m} \cdot \text{minute}^{-1}} \approx 23.990\; \text{minute}\end{aligned}[/tex].
A full circle corresponds to an angle of [tex]2\, \pi \; \text{radian}[/tex] ([tex]360^{\circ}[/tex].) In other words, this vehicle would have turned [tex]2\, \pi \; \text{radian}\![/tex] in approximately [tex]23.990\; \text{minute}[/tex] if it travels at a constant speed. The rate at which this vehicle turn would be:
[tex]\begin{aligned}\frac{2\, \pi}{23.990\; \text{minute}} \approx 0.26\; \text{minute}^{-1}\end{aligned}[/tex].
In general, for angular velocity [tex]\omega[/tex], radius [tex]r[/tex], and velocity [tex]v[/tex], [tex]v = \omega\, r[/tex]. After updating the units, the angular velocity of this vehicle (the rate at which it turns) may also be found as:
[tex]\begin{aligned}\omega &= \frac{v}{r} \\ &\approx \frac{183.33\; \rm m \cdot \text{minute}^{-1}}{700\; \rm m} \\ &\approx 0.26\; \text{minute}^{-1}\end{aligned}[/tex].
What is the slope of the line tangent to the graph of y = (9x^2)/(x+2) at x = 1 ?
Using derivatives, it is found that the slope of the line tangent to the graph of y at x = 1 is of 5.
The equation is:
[tex]y(x) = \frac{9x^2}{x + 2}[/tex]
The slope of the line tangent to the graph of y at x = 1 is [tex]y^{\prime}(1)[/tex].
Applying the quotient rule, we have that:
[tex]y^{\prime}(x) = \frac{[9x^2]^{\prime}(x + 2) - [x + 2]^{\prime}(9x^2)}{(x + 2)^2}[/tex]
[tex]y^{\prime}(x) = \frac{18x(x + 2) - 9x^2}{(x + 2)^2}[/tex]
[tex]y^{\prime}(x) = \frac{9x^2 + 36x}{(x + 2)^2}[/tex]
Then, when x = 1:
[tex]y^{\prime}(1) = \frac{9(1)^2 + 36(1)}{(1 + 2)^2} = \frac{45}{9} = 5[/tex]
The slope of the line tangent to the graph of y at x = 1 is of 5.
You can learn more about the use of derivatives to find the slope of a tangent line at https://brainly.com/question/10580177
What is the value -3/5 + (-0.75) +4 7/10
Enter your answer in the box.
Answer:
67/20 as an improper fraction, 3 7/20 as a mixed number and, 3.35 as a decimal
Hope this helped :)
Step-by-step explanation:
Find the volume
of the rectangular prism.
3 m
7 m
4 m
Answer:
The volume is 63m³
Step-by-step explanation:
Multiply all sides together so 4 x 7 is 21, 21 x 3 is 63.
11. A bank teller has a total of 124 bills in five-dollar bills and ten-dollar bills. The total value of the
money is $840. How many ten-dollar bills does she have
Answer:
44 ten-dollar bills
Step-by-step explanation:
Assume that all 124 bills are ten-dollar bills,
124 x $10 = $1240
Total Value of Money : $840
$1240 - $840 = $400
There are $400 worth of five-dollar bills,
$400 / 5 = 80 (The number of five-dollar bills)
Therfore the number of ten-dollar bills,
124 - 80 = 44
Let's check:
44 x $10 = $440
80 x $5 = $400
Total = $440 + $400
= $840
Frank needs to memorize words for a vocabulary list for French class he has memorize 24 that's three-fourth of the list how many words are on the list
Answer:36 is this 2nd grade?
Step-by-step explanation:
Can someone please help me I will mark u brilliant
Answer for the first question: There are 13 pieces of pie left.
Step-by-step explanation: So there are 3 pieces of apple pie left, there are 4 pieces of cherry pie left, and there are 6 pieces of pumpkin pie left. 3 + 4 + 6 = 13.
3/8 = 3 pieces because each fraction in this one equals one piece. So the numerator is how many left.
1/2= 4 because you just divide 8 by 2.
3/4 = 2 because you can multiply the fraction by 2 and get 6/8. Then the numerator is how many that's left.
Therefore, there are 13 pieces of pie left.
1. First, let's have the pieces have the same denominator: 8!
3/8 is already fine
1/2 = 4/8
3/4 = 6/8
Now add up the numerators: 13 pieces were eaten.
Since there are 3 pies, there's 24 pieces total
24 - 13 = 11
11 pieces are left over
2. First, 3/4 x 6 = 4.5
1 1/2 x 5 = 7.5
4.5 + 7.5 = 12
-5 + 12 = 7
At 5:00 pm, it was 7 degrees.
Hope this helps!
Write the slope intercept equation of the line that passes through (2,5) and (-1,3)
Answer:
y=2/3x+11/3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(3-5)/(-1-2)
m=-2/-3
m=2/3
y-y1=m(x-x1)
y-5=2/3(x-2)
y=2/3x-4/3+5
y=2/3x-4/3+15/3
y=2/3x+11/3
a plumber receives $72 an hour. how much is she paid for 20 hours of work?
Answer:
$1440
Step-by-step explanation:
$72/hour
For 20 hours, she receives
20 hours × $72/hour = $1440
what is the value of f(-8) in f(x)=-3x-9
The value will be .......15.......
f(x) = -3x - 9
Now, substitute -8 in the place of x.
f(x) = -3x - 9
f(-8) = - 3(-8) - 9
f(-8) = 24 - 9
f(-8) = 15
______
Hope it helps ⚜
Simplify (4.5)(5)(−2). (1 point)
Answer:
(4.5)(5)(−2) = (-9) × 5
= -45
Answer:
-45
Step-by-step explanation:
[tex](4.5)(5)(-2)\\\\22.5(-2)\\\\-45[/tex]
A bag has 2 blue marbles and 16 red marbles. half of the red marbles are made of plastic. a marble is selected a random from the bag what is the possibility that it is a red plastic marble 
there are 2 blue marbles, 8 red marbles, and 8 plastic red marbles
there are 18 marbles in total
8/18
Answer:
1/9 or 11.1%
Step-by-step explanation:
16 out of 18 are red
1/8 are red plastic
16/18 x 1/8 = 16/144 or 1/9
1/2x-3 + 5x/2x+6 = 2, Solve for x
Answer:
1/2x-3 + 5x/2x+6 = 2
1/2x-3 + 5/2+6 = 2
1/2x-3 + 2.5+6 = 2
1/2x + 5.5 = 2
1/2x = 2-5.5
1/2x = 3.5
1 = -3.5 × 2x
1 = -7x
x = -1/7
hope it helps :)
I need help please I don’t know what to it is due today
Answer:
1
Step-by-step explanation:
They want you to do 53/4 and use the remainder as the answer, because you cannot have more than 4 cards on the page. 53/4 is 13 with a remainder of 1
help guys HURRY!!! plsss! :D
Answer:
B. x+240=425
Step-by-step explanation:
The map shows the location of four places in a city:
Coordinate grid shown from negative 6 to positive 6 on the x-axis and negative 6 to positive 6 on the y-axis. A point labeled School is shown on ordered pair 2, 4. A point labeled Library is shown on ordered pair negative 3, 5. A point labeled City Park is shown on ordered pair negative 3, negative 4. A point labeled Museum is shown on ordered pair 2, negative 5.
Anna's house is in the same quadrant as the museum. Which of the following could be the coordinates of Anna's house?
(1, 4)
(−1, 4)
(1, −4)
(−1, −4)
Using quadrant concepts, it is found that the coordinates of Anna's house could be at (1,-4).
The signal rules for the quadrants of a point (x,y) are as follows:
First quadrant: x > 0, y > 0.Second quadrant: x < 0, y > 0.Third quadrant: x < 0, y < 0.Fourth quadrant: x > 0, y < 0.In this problem, the museum is in the fourth quadrant, which is the same as Anna's house, hence, since it is needed x positive and y negative, the coordinates of Anna's house could be at (1,-4).
You can learn more about quadrants at https://brainly.com/question/25900520
graph the function
f (x) = |x + 2| - 5
Answer:
View the link for the answer
A container 2/3 gallon of apple juice. If four people from the cross-country Tracy team share the juice equally how much juice will each team member get?
Answer:
1/6 gallon
Step-by-step explanation:
Total juice = 2/3 of container
Total people = 4
Juice for 1 people = 2/3/(4)
=> 2/3 × 1/4
=> 1/3 × 1/2
=> 1/6
PLEASE HELP THESE ROBOTS ARE SPAMMING ME
What led to the formation of the 2 political parties?
A. The Revolutionary War
B. Hamilton's financial plan
C. the Whiskey Rebellion
D. A loss in rock, paper, scissors
Step-by-step explanation:
The answer is the Revolutionary War
Can anyone help me with the first question? It’s for my study guide I would really appreciate it
Simplify: -6(x + 4)
Answer:
A) -10x - 24
Step-by-step explanation:
1. To simplify this expression, we apply the distributive property.
[tex](-6)(\frac{5}{3}x)+(-6)(4)[/tex] [tex]\frac{-30}{3}x-24[/tex] [tex]-10x - 24[/tex]Therefore, the answer is A) -10x - 24.
Answer:
A) -10x-24
Step-by-step explanation:
[tex]-6(\frac{5}{3} x+4)=-6\times\frac{5}{3} x+4\times(-6)=-10x-24[/tex]
[tex]a(b+c)=ab+ac[/tex]
8. Which of the following are equivalent expressions?
a) x2, -X2, -(x2)
b) 3x - 7, (3x) - 7, 3(x - 7)
c) -2x + 8, -(2x + 8), -(2x - 8)
+
Answer:
a) -x2 , -(x2)
b)3x-7 , (3x) - 7
c) -2x+8 , -(2x-8)
A pipe that is 165 feet long is cut into three parts whose lengths are in the ratio 2 : 5 : 8. Find the length of the longest piece. Longest piece: 2 feet
Answer:
88 ft
Step-by-step explanation:
Let's say the shortest piece has length 2x, so the medium piece has length 5x and the longest piece has length 8x. Added together, they equal 165, so
2x + 5x + 8x = 165
15x = 165
divide both sides by 15 to isolate x
x = 11
8x = longest piece = 88 ft
How many pounds of reindeer food can Santa buy for $12 if he can buy 28
pounds for $35?
Answer:
14 Pounds
Step-by-step explanation:
35 / 12 = 2.9167
being as we all know you cant go over two because it is dealing with money, we know that he can buy half of 28 pounds. Which is 14.
Select Is a Function or is not a Function to correctly classily each relation
Is a Function
is not a Function
{(2, 2), (4,4), (6, 6), (8, 8)}
{(0,3), (3,5), (5, 6), (8, 4);
118
{(1, 2, (3, 3), (4, 8), (6,3)}
02
{(3, 4), (5,2), (5, 6), (7,3)}
Answer:
1: NOT A FUNCTIN
Step-by-step explanation:
Estimate the distance you can travel in 3 hours 20 minutes if you drive on average 49 miles per hour. Round your answer to the nearest mile.
Answer:
163 miles
Step-by-step explanation:
set up a ratio based on 49 miles in 1 hour (60 minutes):
let 'd' = distance in 3hrs, 20 min
3hrs, 20 min = 200 minutes
49/60 = d/200
cross-multiply:
60d = 9800
d = 163.3
The distance you can travel in 3 hours 20 minutes if you drive on average 49 miles per hour will be 163.33 miles.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
The speed of the vehicle is 49 miles per hour. And the time is 3 hours 20 minutes.
Convert the time completely hours. Then we have
T = 3 + 20/60
T = 3.33 hours
The distance you can travel in 3 hours 20 minutes if you drive on average 49 miles per hour will be
D = 49 x 3.33
D = 163.33 miles
The distance you can travel in 3 hours 20 minutes if you drive on average 49 miles per hour will be 163.33 miles.
More about the speed link is given below.
https://brainly.com/question/7359669
#SPJ2
Find the equation of the linear function represented by the table below in slope-
intercept form.
X
у
-3
-1
1
3
5
7.
9
11
Answer:
Step-by-step explanation:
There are multiple ways to do this, but I'll go with the first one I learned and the simplest.
So the standard equation for linear functions is y=kx+b, right? Take two groups of (x,y) and plug them in.
Eg. (Taking (-3,-1) and (1,3)) -1=-3k+b and 3=k+b
By solving the above system, you get k=1, b=2. Put those into the standard equation and you get y=x+2, which is your answer.
40% of athletes have tattoos and get into fights with other athletes. 50% of athletes get into fights with other athletes. What is the probability that an athlete that is getting into a fight has a tattoo
The probability that an athlete that is getting into a fight has a tattoo is 0.80
Let the events be represented as:
Event A : get into a fightEvent B: has a tattooSo, the probabilities are given as:
[tex]P(A\ n\ B) = 40\%[/tex]
[tex]P(A) = 50\%[/tex]
The probability that an athlete that is getting into a fight has a tattoo is represented as: P(B | A)
So, we have:
[tex]P(B | A) = \frac{P(A\ n\ B)}{P(A)}[/tex]
Substitute known values
[tex]P(B | A) = \frac{40\%}{50\%}[/tex]
Cancel out the percentages
[tex]P(B | A) = \frac{40}{50}[/tex]
Divide 40 by 50
[tex]P(B | A) = 0.80[/tex]
Hence, the probability that an athlete that is getting into a fight has a tattoo is 0.80
Read more about probabilities at:
https://brainly.com/question/251701
a sphere has a volume of 2,304 pi mm3. find the diameter of the sphere
Answer:
24
the formula of sphere is
[tex]v = \frac{4}{3} {r}^{3} [/tex]
Since we know the volume, and have to find the diameter (twice the radius), we need to determine the radius first.
Hence, using the given data:
[tex]2304\pi = \frac{4}{3} \pi {r}^{3} [/tex]
We can cancel
We can cancel π from each side.
[tex]2304 = \frac{4}{3} {r}^{3} [/tex]
Multiply both sides by
[tex] \frac{3}{4} [/tex]
hope I help you ☺️❤️
I need help with this badly.
YOU’RE GETTING A BRAINLIST IF YOU ANSWER THESE:
If you and I meet halfway between the fountain and the restrooms what are the coordinates of our meeting place?
If my cat and your dog meet halfway between the ball field and the swings what are the coordinates of their meeting place?
Now to the nearest yard how far are you and I to our pets after arriving to our meeting place?
Answer:
Step-by-step explanation:
Question 1
Answer: (1, -0.5)----------------------
Explanation:
The x coordinates of the points for the restrooms and fountain are -2 and 4 in that order. Add up those values and divide by 2
(-2+4)/2 = 2/2 = 1
The midpoint of -2 and 4 on the number line is the value 1. So if the restrooms and fountain were on the x axis and at -2 and 4 respectively, then the midway point is 1 on that same number line. Note: The value 1 is exactly 3 units away from -2 and 4.
We'll use this idea for the y coordinates as well. Add them up, then divide by 2.
Add: 4+(-5) = -1
Divide by two: -1/2 = -0.5
The y coordinate of the midpoint is -0.5
Overall, the midpoint between the restrooms and fountain is the point (1, -0.5)
For more info, check out the midpoint formula.
====================================================
Question 2
Answer: (0, 0.5)----------------------
Explanation:
We'll use the same idea as before. This time we focus on the locations of the swings and ball field only.
Add the x coordinates for each point: -5+5 = 0
Divide in half: 0/2 = 0
The x coordinate of the midpoint is 0
Repeat for the y coordinates.
Add: 5+(-4) = 1
Cut in half: 1/2 = 0.5
The y coordinate of the midpoint is 0.5
We get the midpoint (0, 0.5) which is where the two pets meet.
====================================================
Question 3
Answer: Approximately 1 yard----------------------
Explanation:
Apply the distance formula for the results of the previous two questions.
So we'll apply the midpoint formula for the points (1, -0.5) and (0, 0.5)
[tex]d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(1-0)^2+(-0.5-0.5)^2}\\\\d = \sqrt{(1)^2+(-1)^2}\\\\d = \sqrt{1+1}\\\\d = \sqrt{2}\\\\d \approx 1.414\\\\d \approx 1\\\\[/tex]