The linear velocity of the Ferris wheel in inches per second is 18.9 inches/second.
What is the speed of an object?The speed of an object is the ratio of the total distance covered by the object and total time taken by the object to complete that distance.
Here, the radius of the Ferris wheel is (r) = 30 feet.
The circumference of the wheel is
= 2πr
= 2 × π × 30 feet
= 60π feet
Here, the Ferris wheel completes 7 revolutions.
Therefore, it covers the linear distance of
= 7 × circumference of the wheel
= 7 × 60π feet
= 420π feet
Now, the Ferris wheel took 14 minutes to complete 420π feet.
Therefore, the speed of the wheel is
= (420π/14) feet/minute
= 30π feet/minute
= (30π × 12)/60 inches/second
= 6π inches/second
= 18.9 inches/second
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what is the value of x to the nearest tenth
Answer:
tan90°=p/b
or,1/0=10/x
therefore x=0
The following measurements were recorded for the drying time, in hours, of a certain brand of latex paint: 3.4 2.5 4.8 2.9 3.6 2.8 3.3 5.6 3.7 2.8 4.4 4.0 5.2 3.0 4.8 Assuming that the measurements represent a random sample from a normal population, find a 95% prediction interval for the drying time for the next trial of the paint.
Answer:
A 95% prediction interval for the drying time for the next trial of the paint is between 3.25 and 4.33 hours.
Step-by-step explanation:
First we have to find the sample mean and the sample standard deviation.
We have 15 measurements. Using a calculator, the mean is [tex]\overline{x} = 3.79[/tex] and the standard deviation is of [tex]s = 0.97[/tex].
Now, we have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
T interval
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 15 - 1 = 14
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.1448
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.1448\frac{0.97}{\sqrt{15}} = 0.54[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 3.79 - 0.54 = 3.25 hours
The upper end of the interval is the sample mean added to M. So it is 3.79 + 0.54 = 4.33 hours
A 95% prediction interval for the drying time for the next trial of the paint is between 3.25 and 4.33 hours.
Which linear function represents the line given by the point-slope equation y - 8 = % (x - 4)?
?? Pls help :0
Answer:
option 2
Step-by-step explanation:
[tex]y - 8 = \frac{1}{2} (x - 4)\\\\y = \frac{1}{2}x - 2 + 8\\\\y = \frac{1}{2}x + 6\\\[/tex]
Kenny recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-x-4 = 0 and calculate its properties
hope this helps!
What’s the area of the rectangle
Answer:
66
Step-by-step explanation:
You multiply the length and the width. 11 times 6 equals 66
Deborah finds that the theoretical probability of flipping "heads" on a fair coin was 50%. After she flipped the fair coin 100 times, she calculated that she flipped "heads" 45 times. What is the percent difference in theoretical and experimental probability?
Answer:
I have the same doubt so pls answer
Step-by-step explanation:
PLEASE HELP WITH THIS. WILL GIVE BRAINLEIST FOR AN ACTUAL ANSWER
Determine the distance from (-5,-6) to (3,1).
help please! no links :)
Answer:
The answer is D-27.00 because you are rounding off to the nearest 100 I hope this helps you
Answer:
C. 26.75
Step-by-step explanation:
26.745 is rounded to 26.75
create a set of coordinates to model a relation that is linear function.
A set of coordinates to model a linear relation is (0,0), (1,1), (2,2), (3,3), and (4,4).
What is a linear relation?A straight-line link between two variables is referred to statistically as a linear relationship (or linear association).
The points on a line always form a linear relation.
Therefore, consider the line y = x.
The set of coordinates on y = x is as follows:
(0,0), (1,1), (2,2), (3,3), (4,4)... and so on.
Hence, a set of coordinates to model a linear relation is (0,0), (1,1), (2,2), (3,3), and (4,4).
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Whenever the test results in NY are given, a study shows that 4.6 in 5 people get at least one B. The rest of the 0.4 people get straight As. If there are 5.4 million people receiving their report card, how many get As? Bs?
Answer:
around 432000 people have straight A's.
around 496800 people have at least one B/B's.
Step-by-step explanation:
[tex]\frac{4.6}{5} = \frac{x}{5400000}\\\\5x = 2484000\\\\\frac{5}{5}x = \frac{2484000}{5} \\x = 4968000\\\\5400000 - 4968000 = 432000\\\\[/tex]
around 432000 people have straight A's.
around 496800 people have at least one B/B's.
What’s the answer help please
Answer:
-3/4
Step-by-step explanation:
Have a nice day
The model below represents the sum of two mixed numbers.
Write an equation that shows the sum represented by the model.
Show your work.
Answer:
hey I am not sure about the answer but I guess this is the right answer:
(x+3)+x
Identify the equation for the parabola with vertex (0, 0) and directrix x = 2.5.
Answer:
jk
Step-by-step explanation:
In a petri dish, a certain type of bacterium doubles in number every 20
minutes
There were originally 8, or 23 bacteria in the dish. After 140 minutes, the
number of bacteria has doubled 7 times, multiplying by 27.
Now the population of bacteria is 23.27. Expressed as a power, how many
bacteria are in the petri dish after 140 minutes?
O A. 210
B. 410
C. 27
D. 221
SUBMIT
Please help, show work! Limits and functions! 85 points!
Answer:
Ok I might misunderstand this but this is what I got ( in order )
Calculate the arithmetic mean 24, 36, 52, 48, 64, 40.
Answer:
Mean: 44
Step-by-step explanation:
1. 24 + 36 + 52 + 48 + 64 + 40 = 264
2. 264 divided by 6 = 44
(I divided it by 6 because there are 6 numbers (data points).)
How many 6 oz servings are in a 1.125-quart pitcher of lemonade? There are servings. Enter an integer or decimal number[more..] Question Help: Message instructor Calculator
Answer:
6
Step-by-step explanation:
1 qt = 4 cups
1 cup = 8 fl oz
1.125 qt * (4 cups)/(1 qt) * (8 fl oz)/(1 cup) = 36 fl oz
(36 fl oz)/(6 fl oz) = 6
Answer: 6 servings
What is the result when the number 84 is decreased by 50%?
Answer:
42
Step-by-step explanation:
Answer:
42
84 ×50%by100 =42. 84-42= 42. hope helpful answerWrite three solutions for the inequality 13 - 8X < -11
Answer:
x > 3
-x < -3
3 < x
-3 > -x
Step-by-step explanation:
-8x < -24
x > 3
-x<-3
Calculate the rate of change for the following data
Match each expression with its equivalent expression.
a. √4x^2y^4
b. √8x^2y
c. √4x^2y
c. √16xy^2
d. √8xy^2
1. 2x√y
2. 2y√2x
3. 2xy^2
4. 2x√2y
5. 4y√x
Answer:
a -> 3
b -> 4
c -> 1
d -> 5
e -> 2
Step-by-step explanation:
We apply the properties to solve this question.
a. √4x^2y^4
[tex]\sqrt{4x^2y^4} = \sqrt{4}\sqrt{x^2}\sqrt{y^4} = 2xy^2[/tex]
So a -> 3
b. √8x^2y
[tex]\sqrt{8x^2y} = \sqrt{8}\sqrt{x^2}\sqrt{y} = \sqrt{4*2}x\sqrt{y} = \sqrt{4}\sqrt{2}x\sqrt{y} = 2x\sqrt{2}\sqrt{y} = 2x\sqrt{2y}[/tex]
So b -> 4
c. √4x^2y
[tex]\sqrt{4x^2y} = \sqrt{4}\sqrt{x^2}\sqrt{y} = 2x\sqrt{y}[/tex]
So c -> 1
d. √16xy^2
[tex]\sqrt{16xy^2} = \sqrt{16}\sqrt{x}\sqrt{y^2} = 4\sqrt{x}y = 4y\sqrt{x}[/tex]
So d -> 5
e. √8xy^2
[tex]\sqrt{8xy^2} = \sqrt{8}\sqrt{x}\sqrt{y^2} = \sqrt{4*2}\sqrt{x}y = \sqrt{4}\sqrt{2}\sqrt{x}y = 2y\sqrt{2}\sqrt{x} = 2y\sqrt{2x}[/tex]
So e -> 2
Question 7
Find the volume.
Answer:
A: 686π≈2,156
Step-by-step explanation:
First, you need to find the area of the circle then times that by 14.
π[tex]r^{2}[/tex] Formula for the area of a circle
π[tex]7^{2}[/tex] r stands for radius, so you divide the diameter by 2 and get 7.
π49 This is the area of the circle
π49×14 Now multiply by 14
=686π This is your answer.
=2155.13256 When you times it by pi this is what you get
=2156 This is your answer if you want it rounded up
WHICH OF THE FOLOWING EXPRESSIONS IS EQUAL TO -3x^2-12
A restaurant wants to study how well its salads sell. The circle graph shows the sales over the past few days. If 35 of the salads sold were Caesar salads, how many total salads did the restaurant sell?
Answer:
50
Step-by-step explanation:
From the circle graph :
Salad sold :
Caesar = 70%
Garden = 16%
Taco = 14%
If 35 of the salad sold were Caesar ;
Then ; this means
70% = 35
Total salad sold %= (70+16+14)% = 100%
Let total sales = x
70% = 35
100% = x
Cross multiply :
70% * x = 100% * 35
0.7x = 35
x = 35 / 0.7
x = 50
solve solve solve solve
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: \: 1 \frac{1}{15} \:(or) \: 1.0667}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \frac{4}{5} \div \frac{3}{4} [/tex]
= [tex] \: \frac{4}{5} \times \frac{4}{3} [/tex]
= [tex] \: \frac{4 \times 4}{5 \times 3} [/tex]
= [tex] \: \frac{16}{15} [/tex]
= [tex] \: 1 \frac{1}{15} [/tex]
( OR )
= [tex] \: 1.0667[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35\:♨}}}}⋆[/tex]
Step-by-step explanation:
[tex] \frac{4}{5} \div \frac{3}{4} \\ = \frac{4}{5} \times \frac{4}{3} \\ = \frac{16}{15} \\ thank \: you[/tex]
PLZ HELP ASAP !!!!!!
Answer:
c there you go hi your welcome
Phineas puts $600 into a certificate of deposit that earns 3.09%. If the money is
compounded monthly, how much will it be worth in 4 years?
Answer:
$678.83
Step-by-step explanation:
Given :
Principal, P = $600
Rate = 3.09% = 0.0309
Period, t = 4 years
Compounding times per period, n = 12 (monthly)
The compound interest formula :
A = P(1 + r/n)^nt
A = 600(1 + 0.0309/12)^(12*4)
A = 600(1 + 0.002575)^48
A = 600(1.002575)^48
A = 600 * 1.1313834
A = 678.83004
Worth in 4 years = $678.83
Can y’all help me on question 2?!
Answer:
4.5
Step-by-step explanation:
18 divided by 4 equals 4.5
true or false m angle 1 <m angle 7
Answer:
False
Step-by-step explanation:
There might be a chance I am wrong though sorr for the inconvinience
Using the equation for the line of best fit what is a good approximation for x when f(x) =30?
Answer:
48.6
Step-by-step explanation:
Given the equation for the line of best fit ; f(x) ≈ 1.8x − 5.4 ;
This equation is used to make prediction for any given value of x ; Here, we are to make prediction for when x = 30
f(x) ≈ 1.8x − 5.4 ; we substitute into the equation, x = 30
f(30) = 1.8(30) - 5.4
f(30) = 54 - 5.4 = 48.6
Prediction at x = 30 is 48.6
Write a linear equation in standard form for the line that goes through (2, -3)
and (4, -2).
A. X + 2y = -4
B. y - 3 = {(x - 2
C. x - 2y = 8
D. X+ 4y = 12
9514 1404 393
Answer:
C. x -2y = 8
Step-by-step explanation:
One way you can do this is to use the form ...
(Δy)(x -x1) -(Δx)(y -y1) = 0
where Δx = x2 -x1 = 4 -2 = 2, and Δy = y2 -y1 = -2 -(-3) = 1
This gives ...
(x -2) -2(y -(-3)) = 0 . . . above form with numbers filled in
x -2y -8 = 0 . . . . . . . general form
x -2y = 8 . . . . . . . . . standard form
_____
Additional comment
You can use any of several other strategies, including finding the slope and y-intercept, then rearranging the equation.
Another strategy that works is to try the answer choices. You might notice that the first given point works in the first equation, so it may make sense to try the second given point in each equation.
The above version of the equation of a line is a variation on one that says the slope of a line is the same everywhere:
[tex]\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{y-y_1}{x-x_1}\ \Rightarrow\ (y_2-y_1)(x-x_1)=(x_2-x_1)(y-y_1)\\\\(y_2-y_1)(x-x_1)-(x_2-x_1)(y-y_1)=0[/tex]
