The bicycle wheel revolving is a illustration of circumference
The bicycle wheel revolves 4000 times
How to determine the number of times?The given parameters are:
Radius (r) = 40 cm
Distance =10 km
Start by calculating the circumference of the wheel
[tex]C =2\pi r[/tex]
This gives
[tex]C =2 * 3.142 * 40[/tex]
[tex]C =251.36[/tex]
The number of times to cover a distance of 10 km is then calculated as:
[tex]n =\frac{10km}{251.36cm}[/tex]
Evaluate the quotient
[tex]n =3978.35773[/tex]
Approximate
[tex]n =4000[/tex]
Hence, the bicycle wheel revolves 4000 times
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find the percent change from 62 to 7
The points in the table lie on a line. Find the slope of the line.
Answer:
slope = 4
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (3, 10) ← 2 ordered pairs from the table
m = [tex]\frac{10-2}{3-1}[/tex] = [tex]\frac{8}{2}[/tex] = 4
A data set is given as follows:
Please give the best fit using the least squares with the following functions
(1) y = ax + b;
(2) y = ax + b;
and draw their respective graphs.
(Probability and Statistics)
Entering the values obtained from the data in the table based on the
given functions of y = a·x + b, and y = a·|x| + b, we have;
(1) y = -0.0614·x + 1.58772
(2) y = 0.3824·x + 0.91168
How can the best fit lines be obtained?The least squares regression formula is presented as follows;
[tex]a = \mathbf{\dfrac{\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) }{\sum \left(x_i - \bar x\right )^2 }}[/tex]
(1) From the data in the table, and by using MS Excel, we have;
[tex]\overline x[/tex] = -0.2
[tex]\overline y[/tex] = 1.6
[tex]\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right)[/tex] = -1.4
[tex]\sum \left(x_i - \bar x\right )^2[/tex] = 22.8
Which gives;
[tex]a = \dfrac{-1.4}{22.8 } \approx \mathbf{-0.0614}[/tex]
1.6 ≈ b - 0.0614 × (-0.2)
b = 1.6 - 0.0614 × (0.2) = 1.58772
The equation of best fit for the function, y = a·x + b, is therefore;
y = -0.0614·x + 1.58772(2) For the function, y = a·|x| + b, we have;
[tex]\overline x[/tex] = 1.8
[tex]\overline y[/tex] = 1.6
[tex]\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right)[/tex] = 2.6
[tex]\sum \left(x_i - \bar x\right )^2[/tex] = 6.8
Which gives;
[tex]a = \dfrac{2.6}{6.8} \approx \mathbf{0.3824}[/tex]
1.6 ≈ b + 0.3824 × (1.8)
b = 1.6 - 0.3824 × (1.8) = 0.91168
The equation of best fit for the function, y = a·|x| + b, is therefore;
y = 0.3824·x + 0.91168Learn more about the least squares regression line here:
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Classify the following triangle as acute, obtuse, or right.
60°
60
609
A. Right
B. Obtuse
C. Acute
D. None of these
Answer:The answer Is C
Step-by-step explanation:
Acute
The triangle is shown an Acute triangle.
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
Angles are,
60°
60°
60°
Clearly, All angles are less than 90 degree.
Hence, The triangle is shown an Acute triangle.
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L need help with this pls
Answer:
75
Step-by-step explanation:
The lines l and m are already parallel so in order for that to be correct the measure of angle x would be 75 degrees :)
List 3 rational numbers between -2 and -1. Find the product of smallest & greatest rational among them
The table shows success rates for two computer games sessions. Whose success rate changed the most between session 1 and session 2?
A. Alexis
B. Brent
C. John
D. None of them
Please show explanation I will mark brainliest :)
Answer:
B. Brent
Step-by-step explanation:
Let us turn the Session 2 scores into fractions so we have common units.
(John) 52% -> [tex]\frac{52}{100}[/tex]
(Alexis) 57.5% -> [tex]\frac{575}{1000}[/tex]
(Brent) 39.5% -> [tex]\frac{395}{1000}[/tex]
Now, we can simplify them.
(John I divide by 2) [tex]\frac{52}{100}[/tex] -> [tex]\frac{26}{50}=\frac{13}{25}[/tex]
(Alexis, I divided by 5) [tex]\frac{575}{1000}[/tex] -> [tex]\frac{115}{200} =\frac{23}{40}[/tex]
(Brent, I divided by 5) [tex]\frac{395}{1000}[/tex] -> [tex]\frac{79}{200}[/tex]
Now subtract Session 2 from Session 1 for each and figure out which one is the largest to answer the question.
(John) [tex]\frac{2}{3}[/tex] - [tex]\frac{13}{25}[/tex] = [tex]\frac{11}{75}[/tex] or about 0.146667
(Alexis) [tex]\frac{11}{20}[/tex] - [tex]\frac{23}{40}[/tex] = [tex]\frac{-1}{40}[/tex] or -0.025
(Brent) [tex]\frac{7}{10}[/tex] - [tex]\frac{79}{200}[/tex] = [tex]\frac{61}{200}[/tex] or 0.305
Since the absolute value of 0.305 is greatest, B. Brent has the largest success rate change.
Can you answer this one please
first process is used in this expression
paint store sells 4 pt of paint for $19.
A 400-milliliter solution of a fabric dye contains 8 ml of hydrogen peroxide. What is the percent concentration of the hydrogen peroxide?
Answer:
Okay so all you need to know is the percentage of the hydrogen peroxide.
We know that the total solution is 400 ml and the hydrogen peroxide solution is 8ml.
8/400
Percent means out of a hundred, this can go multiple ways.
Way #1, benchmarking.
So 8/400 simplified is 1/50 or 2/100.
1/50 is basically 2/100.
And percent means out of a hundred so 2/100 is basically 2percent.
Way #2, proportions
We want to know the percentage of hydrogen/ fabric dye
If you put it in numbers int he same fraction and put “x” as the unknown 8ml hydrogen peroxide solution you’d get.
8/400 = x/100
X/100 because percent means out of a hundred.
Now solve3
Cross multiply,
800 = 400x
divide 400 on both sides
2=x
Now plug it back in the proportion.
8/400 = 2/100
If you simplify to check if they are equal then it’s correct
What is the missing base of 16=____ to the power of 4?
Please Answer ASAP
Jack biked to his friend house at a speed of 10 mph. When he was returning home it was raining. So he biked much slower - at 6 mph. What was Jack's average speed on the way there and back?
Answer:
7.5 mph
Step-by-step explanation:
The perimeter of a rectangle is 72 yards. If we increase the length of the rectangle by 3 yards, what will the perimeter of the new rectangle be?
Plz show the work its for midterm.
Answer:
14.3
Step-by-step explanation:
72 divided by 3 equals 24, so we have 24 feet.
1 yard equals 3 feet.
3 yards equal 9 feet.
24+9= 43.
43 feet equal 14.3
Hope this helps! Sorry if it doesn't :(
Answer:
78 yards
Step-by-step explanation:
the perimeter is the outside of the shape, right? so you find the perimeter by adding all of the sides together.
if a rectangle's length is going up by 3, that means one pair of parallel sides are having 3 yards added to them. so essentially you have to add 3 yards twice
hopefully that makes sense! please consider brainliest! :)
(I need one more to move up a rank lol)
2. Approximately 2% of the nation's children (about 1.7 million) have a parent who is in jail or prison. Let X be the number of children that have an incarcerated parent from a random sample of 100 children. (a) Verify that this is a binomial setting by identifying the four criteria in this problem. (b) Describe what P(X = 0) means in context. (c) Find P(X = 0) and P(X = 1). *
Answer:
2% 2% of the nation's children (about 1.7 million) have a parent who is in jail or prison.
Evaluate each expression if c = 3 and d = 7.
Part A) 6c+4−3d
Part B) 4(d−c)2+1
Part C) d2+5d−6
Answer:
Here you go! I hope this helps
a) (6(3))+4-(3(7))
answer: 1
b) 4(7-3)2+1 =
answer: 33
c) 7^2+5(3)−6
answer: 58
Consider the golfing situation described. Select at least one graph that you believe models the path of the golf
ball if the golfer makes a hole in one (when the golfer hits the ball into the hole in one shot).
100
(60, 80)
(60, 40)
50
(0,0)
(120,0)
(0,0)
(120,0)
150
100
a.
b.
(0.80)
(0,80)
(-120,0)
(120,0)
(-60, 0)
(60,0)
-100
100
50
C.
d.
d
The answer is the last one. The one with (-60,0) (0,80) and (60,0)
fkfjfnfhfidhdhdud my ruebrddbdd by djdudn
5. Find the length of the missing side. If necessary, round to the nearest tenth. 38, 34 on a triangle.
Answer:
for your I'm pretty sure that it's 34
divide the number of meters by to find the number of laps
Answer:
Solution for Divide the number of meters by to find the number of laps. Runners 3 4 Number of Laps 4. 8 12 Number of Meters 1600 3200 4800 6400 de the…
Step-by-step explanation:
Carl wrote three numbers beetween 0.48 and 0.49, what numbers could carl have written
Answer:
0.481, 0.487653287..,. and 0.48953
Step-by-step explanation:
There is no way I could know what numbers Carl has writen because there is an uncountably infinite number of numbers Carl could have written. But if I had to guess it would be 0.481, 0.487653287... and 0.48953
Find the surface area of a cube with edges 6.57 cm long.
sq cm.
The surface area of the cube is
(Type an integer or a decimal.)
Answer:
258.9894 is the total surface area
Which of the following would describe Slope?
A Rise/Run
B The rate of change
C The steepness of a line
D All of the above
Answer:
D
Step-by-step explanation:
Let f (t) be the number of people, in millions, who own cell phones t years after 1990. Explain the meaning of the following statement.
f (10) = 110.3
Answer:
10 years after 1990 (or in the year 2000) there are 110.3 million people who own cell phones.
Step-by-step explanation:
t= 10 years after 1990.
We are given that f(t) is # of people in millions who own cell phones.
f(10) = 110.3 implies in 10 years after 1990, there are 110.3 million people who owned cell phones.
Given that,
Let f (t) be the number of people, in millions, who own cell phones t years after 1990. To explain the meaning of the following statement, f (10) = 110.3
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
f (t) be the number of people, in millions, who own cell phones t years after 1990.
f(10) = 110.3
Implies,
In 10 years after 1990, there are 110.3 million people who owned cell phones.
Thus, f(10) = 110.3 implies in 10 years after 1990, there are 110.3 million people who owned cell phones.
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Pls I need help I will give brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The equation of the circle with centre (5, 6) and radius = 3 is x2 +y2 - 10x - 12y + 52 = 0.
I believe this is the answer.
Does anyone got the answer to this?
Answer:
Step-by-step explanation:
Givens
C = 2*pi*r
C = pi*d
C = 125.6
r = d/2
Solution
C = pi *d
125.6 = 3.14 * d Divide both sides by 3.14
125.6/3.14 = d
d = 40
You can use 1 of 2 methods to get the radius
The easiest one is use
r = d/2
r = 40/2
r = 20
A teacher asked 23 students to close their eyes, then raise their hand up when they thought 60 seconds had elapsed. The results, in seconds, are shown below. 61 65 73 80 35 56 57 71 52 86 39 58 55 67 63 66 83 70 51 54 66 64 41 Which type of display— a stem-and-leaf plot or a line graph— is the most appropriate way to display this data? I need help ASAP
Answer:
Stem and leaf plot.
Step-by-step explanation:
The stem and leaf plot is the most appropriate way because it has lots of different values, and they can be grouped according to their tens place. Also, a line graph would have too many values in this situation to be feasible.
Joe deposited $2500 into a savings account earning 4% compounded monthly. If he makes no other deposits or withdrawal, how much will he have in the account in three years?
Answer:
2500=100
**. =4
2500×4/100=100
100×12 because 1 year have 12 months
then 3×1200=3600
[tex]~~~~~~ \textit{Compound Interest Earned Amount}[/tex]
[tex]A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2500\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &3 \end{cases} \\\\\\ A=2500\left(1+\frac{0.04}{12}\right)^{12\cdot 3}\implies A=2500\left( \frac{301}{300} \right)^{36}\implies A\approx 2818.18[/tex]
A house worth $350,00 when purchased was worth $335,000 after the first year and $320,000 after the second year. Assume the economy does not pick up and this trend continues.
(is this an arithmetic or geo sequence?)
Write an explicit formula for the sequence.
Answer: Arithmetic Sequence
The nth term formula is [tex]a_n = -15,000n + 365,000[/tex]
Delete the commas if needed.
=======================================================
Explanation:
Subtract each adjacent term like this
term2 - term1 = (335,000) - (350,000) = -15,000term3 - term2 = (320,000) - (335,000) = -15,000Each time we get -15,000 which is the common difference and helps show we have an arithmetic sequence.
The nth term formula can be found following these steps.
[tex]a_n = a + d(n-1)\\\\a_n = 350,000 + (-15,000)(n-1)\\\\a_n = 350,000 - 15,000n + 15,000\\\\a_n = -15,000n + 365,000\\\\[/tex]
If we plugged in n = 1, then we'd get,
[tex]a_n = -15,000n + 365,000\\\\a_1 = -15,000(1) + 365,000\\\\a_1 = -15,000 + 365,000\\\\a_1 = 350,000\\\\[/tex]
Showing the first term is $350,000 which is the initial value of the house.
I'll let you try the other values of n.
Plugging in n = 2 would lead to [tex]a_2 = 335,000[/tex]
Plugging in n = 3 would lead to [tex]a_3 = 320,000[/tex]
PLEASE SOLVE QUESTION 13 AND 14
DONT STEAL THE POINTS
Answer:
See below for solution.
Step-by-step explanation:
[tex]Q13)[/tex] [tex]\frac{\sqrt{11} - \sqrt{5} }{\sqrt{11}+\sqrt{5} }[/tex] = [tex]x - y\sqrt{55}[/tex]
LHS :-
= [tex]\frac{\sqrt{11} - \sqrt{5} (\sqrt{11}-\sqrt{5}) }{\sqrt{11}+\sqrt{5} (\sqrt{11}-\sqrt{5}) }[/tex]
= [tex]\frac{11-2\sqrt{55}+5 }{11 - 5}[/tex]
= [tex]\frac{16-2\sqrt{55} }{6}[/tex]
= [tex]\frac{2(8-\sqrt{55}) }{2(3)}[/tex]
= [tex]\frac{8-\sqrt{55} }{3}[/tex]
=> x = 8/3 and y = 1/3
=> Option B
[tex]Q14)[/tex] [tex]\frac{4}{216^{-2/3} }[/tex] + [tex]\frac{1}{256^{-3/4} }[/tex] + [tex]\frac{2}{243^{-1/5} }[/tex]
= 4 x (∛216)² + ([tex]\sqrt[4]256}[/tex])³ + 2 x ([tex]\sqrt[5]{243}[/tex])
= 4 x 36 + 64 + 2 x 3
= 144 + 64 +6
= 144 + 70
= 214
A circle has a diameter of 10 yd. What is its circumference?
Answer:
The circumference of the circle is 31.4 yd.
Step-by-step explanation:
From the question,
We are to determine the circumference of a circle whose diameter is 10 yd.
The formula for calculating the circumference of a circle in terms of diameter is given as
C = πd
Where C is the circumference
and d is the diameter
From the given information
d = 10 yd
and π = 3.14
Putting the parameters into the formula
We get,
C = 3.14 × 10
∴ C = 31.4 yd
Hence, the circumference of the circle is 31.4 yd.