The length of the blade of the windmill will be equal to 7 feet.
What will be the length of the windmill?
We have the equation
[tex]\rm h=7 \ Sin(\dfrac{\pi}{21t})+28[/tex]
At the time 't' = 0, the end of the blade is pointing to the right parallel to the ground meaning it is at the same height as the other end. (Ф = 0°)
So, by calculating the maximum height of this end at Ф = 90°. we can calculate the length of the blade.
Now, we know that a general model equation of a circular simple harmonic motion is represented as
[tex]\rm y=A\ Sinwt+k[/tex]
Where A is the amplitude that is, maximum displacement from mean to maximum position.
ω is the angular frequency.
Comparing the above equations we can conclude that
A = 7
so the difference in blade's end height at Ф = 0° and Ф = 90° is 7 feet.
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Answer:
7ft or option 1
Step-by-step explanation:
Haruto simplified the value below. Cosecant (StartFraction 19 pi Over 4 EndFraction) = StartRoot 2 EndRoot Which statement explains whether Haruto is correct? Haruto is correct because the angle is coterminal with StartFraction 3 pi Over 4 EndFraction and the reference angle is StartFraction pi over 4 EndFraction. Haruto is correct because the angle is coterminal with StartFraction pi Over 4 EndFraction, which is also the reference angle. Haruto is not correct because the angle is coterminal with StartFraction 3 pi Over 4 EndFraction, and Cosecant (StartFraction 3 pi Over 4 EndFraction) = StartFraction negative 1 Over StartRoot 2 EndRoot EndFraction = StartFraction negative StartRoot 2 EndRoot Over 2 EndFraction. Haruto is not correct because the angle is coterminal with StartFraction pi over 4 EndFraction, and Cosecant (StartFraction pi Over 4 EndFraction) = StartFraction 1 Over StartRoot 2 EndRoot EndFraction = StartFraction StartRoot 2 EndRoot Over 2 EndFraction.
If the value of the cosecant 19π/4 and 3π/4 are the same then they are coterminal angles. Then the correct option is A.
What is an angle?Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
The expression is given below.
[tex]\rm cosec \ \dfrac{19\pi}{4} =\sqrt2[/tex]
The angle is 19π/4.
Coterminal angle - The angles in a standard position that have a common terminal side.
Then we have
[tex]\Rightarrow \dfrac{19\pi}{4} - 2*2\pi\\\\\Rightarrow \dfrac{19\pi - 16\pi}{4} \\\\\Rightarrow \dfrac{3\pi}{4}[/tex]
More about the angled link is given below.
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Answer:
A
Step-by-step explanation:
Props to the otha guy
How many solutions are there for the quadratic equation?
f(x)=5x^2+3x+2
Answer:
2
Step-by-step explanation:
[tex]5x^2 +3x +2 = 0\\\\\text{Apply the quadratic formula,}~ x=\dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\\text{In this case,}~a= 5, ~ b = 3~ \text{and}~ c = 2\\\\ \\x=\dfrac{-3\pm \sqrt{3^2 -4\cdot 5 \cdot 2}}{2\cdot 5}\\\\~~~=\dfrac{-3 \pm \sqrt{9-40}}{10}\\\\~~~=\dfrac{-3 \pm \sqrt{-31}}{10}\\\\~~~=\dfrac{-3 \pm i\sqrt{31}}{10}\\\\\text{So, there are 2 solutions,}~ x=\dfrac{-3 + i\sqrt{31}}{10}~ \text{and} ~x=\dfrac{-3 -i\sqrt{31}}{10}[/tex]
Another way to find the number of solutions is by looking at the highest exponent(Degree), which indicates the number of solutions.
[tex]\\ \rm\rightarrowtail 5x^2+3x+2=0[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{-3\pm \sqrt{9-40}}{10}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{-3\pm\sqrt{-31}}{10}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{-3\pm\sqrt{31}i}{10}[/tex]
Hello! How to do 10 part (c)?
Events that cannot happen at the same time are called?
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently.
Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300.
Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn.
Salesman C does not earn any commission. His weekly salary is $900.
The weekly paycheck amount for each salesman, p, is a function of the number of sales, s, they had in that week.
Salesman A Salesman B Salesman C
s = 0 (0, ) (0, ) (0, )
s = 1 (1, ) (1, ) (1, )
s 10 (10, ) (10, ) (10, )
Answer 84.500
Step-by-step explanation: you have to multiply 1,300x65 then 300x 40
and then 12,000
Please help me bro please
Answer:
n = 11°⠀
Step-by-step explanation:
When two straight lines intersect each other, then the pairs of angles so formed without any common arm are called vertically opposite angles.Vertically opposite angles are equal to each other.⠀
So,
[tex]{\longrightarrow \it\qquad { \ { (6n - 4) {}^{ \circ} = {(5n + 7)}^{ \circ} }}}[/tex]
⠀
Removing the brackets,
[tex]{\longrightarrow \it\qquad { \ { 6n - 4{}^{ \circ} = {5n + 7 \: }^{ \circ} }}}[/tex]
[tex]{\longrightarrow \it\qquad { \ { 6n - 5n = { 7 \: }^{ \circ} +4{}^{ \circ} }}}[/tex]
[tex]{\longrightarrow \it\qquad { \pmb{ n = { 11 \: }^{ \circ} }}}[/tex]
⠀
Therefore,
The value of n is 11°We will use the concept of Vertically Opposite angle here, i.e at the point of Intersection of two straight lines, the VOA (Vertically Opposite Angles) are equal
By using this property we will be having ;
[tex]{:\implies \quad \sf (6n-4)^{\circ}=(5n+7)^{\circ}}[/tex]
[tex]{:\implies \quad \sf 6n-5n=7+4}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{n=11}}}[/tex]
This is the required answer
These are the values in Irwin’s data set.
(1, 43), (3, 36), (5,22), (6, 25), (8,14)
Irwin determined the equation of a linear regression line, and determined that these are the predicted values.
(1, 44), (3, 35), (5,26), (6, 22), (8,13)
Use the point tool to graph the residual plot for the data set.
The residual points include the difference between the value in Irwin's dataset and the predicted values
How to plot the residuals?The residual is calculated using:
Residual = Actual points - Predicted points
The actual points are:
(1,43), (3, 36), (5,22), (6, 25), (8,14)
The predicted points are:
(1,44), (3, 35), (5,26), (6, 22), (8,13)
Using the residual formula above, we have the residuals to be:
(x,y) = (1,-1), (3, 1), (5,-4), (6, 3), (8,1)
See attachment for the residual plot
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The graph below represents data that was collected by students on the number of
social media posts they made the previous day.
What was the mean number of posts made?
Answer:
4
Step-by-step explanation:
To calculate the mean or average, add all the data point up and whatever the amount of data point there are is supposed to be divided by the sum of the data points. So in this case, 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 = 28. This is the sum of the data points. Now we have to divide by the amount of data points which is 7 (0 obviously has no value whatsoever). 28 divided by 7 is 4. The average/mean of the number of post made is therefore 4.
Hope this helps,
IShowSpeed's Right Hand Enthusiast
Save my soul!!!!
if you can pIz show me what you did to get answers.
Answer:
9
41/4
23/2
51/4
14
Step-by-step explanation:
The first term is the first term that is given. Just copy it.
Each next term is the previous term plus the common difference.
First term: a_1 = 9
Second term: a_2 = 9 + 5/4 = 36/4 + 5/4 = 41/4
Third term: a_3 = 41/4 + 5/4 = 46/4 = 23/2
Fourth term: a_4 = 46/4 + 5/4 = 51/4
Fifth term: a_5 = 51/4 + 5/4 = 56/4 = 14
I need help on this I don't get it please help me on this
Correct answer: 9x -14y = -6
Linear equation: y = ax + b
Let's replace (x,y) with (1/2, 3/4) and (4,3) and have the following equations:
1/2a + b = 3/4 (1)
4a + b = 3 (2)
=> (2) b = 3 - 4a
(1) 1/2a + 3 - 4a = 3/4
=> (1) 7/2a = 9/4
(2) b = 3- 4a
=> (1) a = 9/14
(2) b = 3/7
So we have the equation: y= 9/14x + 3/7
Multiple both sides with 14
=> 14y = 9x + 6
=> 9x -14y = -6
Use mental math to find the sum.
150 + 20 + 25
Answer:
50 + 20 = 70
70 + 25 = 95
150 + 95 = 245
In conclusion, 150 + 20 + 25 equals to a total amount of 215.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
hemo
150 + 20 + 25
= 100 +50+20+20+5
= 100+90+5
=195
If B = -6
What is b² - 5b - 7?
Answer:
59
Step-by-step explanation:
[tex](-6)^2-5(-6)-7[/tex]
[tex]36+30-7[/tex]
[tex]59[/tex]
factor 1/2 out of 1/2x + 9/2
Answer:
Equation would be x + 9/2.Step-by-step explanation:
Factoring out means taking out a Number, or an unknown quantity.
So, Factor out 1/2:
New equation with old step by step:
Step 1:
Remove 1/2 from 1/2x + 9/2Step 2:
Equation should be: x + 9/2.New equation:
x + 9/2Over what intervals is the average rate of change of f(x) = 5x greater than the average rate of change of g(x) = 25x? Select all that apply. A. 0 ≤ x ≤ 3 B. 0 ≤ x ≤ 2 C. 3 ≤ x ≤ 6 D. 1 ≤ x ≤ 2
The average rates of change of a function f(x) and g(x) are their slopes
The average rate of change of the function f(x) is always less than the average rate of change of the function g(x)
How to determine the average rate of change?The average rate of change of a function f(x) over the interval [a,b] is calculated as:
[tex]m = \frac{f(b) - f(a)}{b - a}[/tex]
The average rates of change of the functions over the intervals are:
A. 0 ≤ x ≤ 3
[tex]m_1 = \frac{f(3) - f(0)}{3 - 0} = \frac{5 * 3 - 5 *0}{3 - 0} = 5[/tex] ---- f(x)
[tex]m_2 = \frac{g(3) - g(0)}{3 - 0} = \frac{25 * 3 - 25 *0}{3 - 0} = 25[/tex] --- g(x)
B. 0 ≤ x ≤ 2
[tex]m_1 = \frac{f(2) - f(0)}{2 - 0} = \frac{5 * 2 - 5 *0}{2 - 0} = 5[/tex] ---- f(x)
[tex]m_2 = \frac{g(2) - g(0)}{2 - 0} = \frac{25 * 2 - 25 *0}{2 - 0} = 25[/tex] --- g(x)
C. 3 ≤ x ≤ 6
[tex]m_1 = \frac{f(6) - f(3)}{6 - 3} = \frac{5 * 6 - 5 *3}{6 - 3} = 5[/tex] ---- f(x)
[tex]m_2 = \frac{g(6) - g(3)}{6 - 3} = \frac{25 * 6 - 25 *3}{6 - 3} = 25[/tex] --- g(x)
D. 1 ≤ x ≤ 2
[tex]m_1 = \frac{f(2) - f(1)}{2 - 1} = \frac{5 * 2 - 5 *1}{2 - 1} = 5[/tex] ---- f(x)
[tex]m_2 = \frac{g(2) - g(1)}{2 - 1} = \frac{25 * 2 - 25 *1}{2 - 1} = 25[/tex] --- g(x)
From the above computation, we can see that:
The average rate of change of the function f(x) = 5x is always less than the average rate of change of the function g(x) = 25x
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A mountain in boone county is eroding and losing elevation at a rate of 5% every millennium. if the current elevation is 1,710 meters, how tall will the mountain be in 4 millennia?
if necessary, round your answer to the nearest whole number.
Answer: 1,393 meters tall
Step-by-step explanation:
Plug in 1710 meters for the initial amount, 0.05 for the rate of decrease, and 4 millennia for the time elapsed.
y
= a(1–r)t
y
= 1,710(1–0.05)4 Plug in values
y
= 1,710(0.95)4 Subtract
y
= 1,710(0.81450…) Simplify
y
= 1,392.80568… Multiply
Round to the nearest whole number.
1,392.80568… → 1,393
To the nearest whole number, the mountain will be 1,393 meters tall.
One day, the weather report shows that boston is experiencing a temperature of -27 degrees, while london is experiencing a temperature of 37 degrees. which city is colder?
Answer:
Obviously Boston, since -27 is much less than 37
100 BRAINLY POINTS!!!
The figure below shows a scatter plot.
Which linear equation best represents the data in the scatter plot?
A. y = -8x + 0.5
B. y = -0.5x - 8
C. y = -0.5x + 8
D. y = -x + 8.5
EXPLAIN YOUR ANSWER
SHOW YOUR WORK
Answer:
C) [tex]y=-0.5x+8[/tex]
Step-by-step explanation:
Line of best fit (trendline) : a line through a scatter plot of data points that best expresses the relationship between those points.
All the given options for the line of best fit are linear equations.
Therefore, we can add the line of best fit to the graph (see attached), remembering to have roughly the same number of points above and below the line.
Linear equation: [tex]y=mx+b[/tex]
(where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept)
From inspection of the line of best fit, we can see that the y-intercept (where x = 0) is approximately 8. So this suggests that options C or D are the solution.
We can also see that the slope (gradient) of the line of best fit is approximately -0.5 (as the rate of change (y/x) is -1 unit of y for every +2 units of x).
Therefore, C is the solution, and the closet approximation to the line of best fit is [tex]y=-0.5x+8[/tex]
2=4+7h what does h equal
Answer:
h= -2/7
Step-by-step explanation:
Simply simplify the equation:
2 = 4 + 7h
first get rid of the 4
2-4 = -2
so -2 = 7h
so h = -2/7
Can someone please please tell me what the general form for (x-6)^2+(y-3)^2=16 is. I would really appreciate the help!
Answer:
x² + y² - 12x - 6y + 29 = 0
Step-by-step explanation:
Simplifying the equation using (a + b)² = a² + 2ab + b²:
(x - 6)² + (y - 3)² = 16
⇒ [x² - 2(x)(6) + 6²] + [y² - 2(y)(3) + 3²] = 16
⇒ [x² - 12x + 36] + [y² - 6y + 9] = 16
⇒ x² - 12x + 36 + y² - 6y + 9 = 16
General form of a circle = x² + y² + Cx + Dy + E = 0
Before we reorganize the equation in general form, we need to have the R.H.S as 0. For that, we need to subtract 16 both sides.
Subtract 16 both sides:
⇒ x² - 12x + 36 + y² - 6y + 9 = 16
⇒ x² - 12x + 36 + y² - 6y + 9 - 16 = 16 - 16
⇒ x² - 12x + 20 + y² - 6y + 9 = 0
Reorganizing the equation in general form:
x² - 12x + 20 + y² - 6y + 9 = 0
⇒ x² - 12x + 20 + y² - 6y + 9 = 0
⇒ x² + y² - 12x + 20 - 6y + 9 = 0
⇒ x² + y² - 12x + 20 - 6y + 9 = 0
⇒ x² + y² - 12x - 6y + 20 + 9 = 0
⇒ x² + y² - 12x - 6y + 29 = 0
Thus, the equation in general form is x² + y² - 12x - 6y + 29 = 0.
I just need 13⅗% as a decimal please thanks
the answer to 13 3/5% as a decimal
0.136
The equation 2y+x=0 is shown on the graph below as a
Answer: Red line
Step-by-step explanation:
2y+x=0
2y=-x
y=-x/2
So we need a line with a slope of -1/2 that passes through the origin, which is the red line.
can you help me? please
Answer:
The answer is B. 600
Step-by-step explanation:
Hope that helps!
Answer:
B. $600.00
Step-by-step explanation:
every 10hrs worked you are getting $120.00 so just add $120.00 every 10 hrs
Just need help, can't remember how to solve it.
please help :DDDD 50 pointssss and brainliest
Sasha solved an equation, as shown below:
Step 1: 8x = 56
Step 2: x = 56 – 8
Step 3: x = 48
Part A: Is Sasha's solution correct or incorrect? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation. (6 points)
Part B: How many solutions does this equation have? (4 points)
Answer:
Her solution is incorrect. The correct solution for the equation is x=7
Step-by-step explanation:
Sasha solved the equation incorrectly.
The correct way to solve this equation would be:
8x = 56
Divide both sides by 8.
[tex]\frac{8x}{8}= \frac{56}{8}[/tex]
You would get x=7.
This equation has 1 solution.
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!
Stay Brainy!
−Kallmekrish
1. Find the Area of the Sector:
2. Find the length of the missing side:
Answer:
1) 14.137 2)10
Step-by-step explanation:
area of sector is central angle / 360 times (pi)(r^2)
45/360 x pi (6^2)
1/8 x 36pi
14.137
3-4-5- right triangle. Or Pythagorean Theorem.
6^2 + 8^2 = c^2
c= 10
At a conference for 500 people, 10% of the participants are french, 35% are americans, 20% are germans, and are of other nationalities. how many french participants are at the conference? 10 20 40 50
A percentage is a way to describe a part of a whole. The number of French people at the conference is 50.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
As it is given that the total number of people in the conference is 500, while 10% of the participants are french. Therefore, the number of people who are French at the conference can be written as,
Number of French People = 10% of the number of people in the conference
[tex]\text{Number of French People} = \dfrac{10}{100} \times 500 = 50[/tex]
Hence, the number of French people at the conference is 50.
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ethan puts 1/3 pound of dog food into dog bowls every time he fills it. How many times can ethan fill his dog's bowl with 5 pounds of dog food?
Answer: Ethan can fill the bowl(s) 15 times.
Step-by-step explanation:
Help!! This is i-ready!!! Will get brainiest!!!
Answer:
It would be,
The people who volunteer usually have a motive to do so and will be the only ones represented.
Step-by-step explanation:
Ms. James class is making bracelets. A bracelet I made out of 3 pieces of string that are each 6 inches long. How many YARDS of string does the class need to make 84 bracelets?
Answer:
42 yards.
Step-by-step explanation:
3 x 6 is 18. 18 x 84 is 1512. 1512 divided by 12 is 126. 126 divided by 3 is 42.
Goal: create a budget meal for a day
role: you are an assistant cook in karinderya.
audience: teacher, friend, neighbours and loved one.
situation: the store manager give you task to prepare a budget meal for the day,
consisting 1 rice, 1 viand, 1 fruit and 1 drink.
available food: rice (fried and plain), viand (chicken meat, pork meat
and vegetables), dessert fruit (banana and apple) and juice (pineapple juice
and mango juice)
product: the expected output must be the following:
1. customer financial capability in ordering food
2. create at least three combination of your budget meal and put a necessary
amount.
using the combination formula
My budget meal for a day will be targeted towards people who wants (weight loss) and such I will prepare a food menu of plain rice, vegetables, apple fruit and a cup of mango juice.
The customer financial capability in ordering food is very simple as it is targeted towards weight loss and as such, the rice is plain along with vegetables and as such, it will be affordable.
The three combination of my budget meal are:
Plain rice and vegetable = $3.Plain rice and an apple fruit = $ 2.5.Plain rice and a cup of mango Juice= $ 2.What food budget?A food budget is known to be the purpose a person has so as to be able to spend on food groceries.
Note that food budget is one that often includes any items a person need to buy more, such as meat, fruit and vegetables, etc.
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