Answer:
458 miles
Step-by-step explanation:
Build a right triangle as shown in the attached image, Then solve using the Pythagorean theorem.
458 miles
Find the quotient of 1/4 divided by 7
Answer: 1/4/7=1/28
You’re welcome good luck to whatever you’re working on. Give brainliest please for my answer.
When played, the middle C key on a piano has a frequency of 262 cycles per second.
What sine function represents this note when it is graphed with an amplitude of 0.5 unit?
Let x represent the number of seconds.
Enter your exact answer in the box.
f(x) =
Answer:
[tex]\displaystyle y = \frac{1}{2}sin\:524\pi{x}[/tex]
Step-by-step explanation:
[tex]\displaystyle \boxed{y = \frac{1}{2}cos\:(524\pi{x} - \frac{\pi}{2})} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\frac{1}{1048}} \hookrightarrow \frac{\frac{\pi}{2}}{524\pi} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\frac{1}{262}} \hookrightarrow \frac{2}{524\pi}\pi \\ Amplitude \hookrightarrow \frac{1}{2}[/tex]
OR
[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\frac{1}{262}} \hookrightarrow \frac{2}{524\pi}\pi \\ Amplitude \hookrightarrow \frac{1}{2}[/tex]
You will need the above information to help you interpret the graph. First off, keep in mind that although the exercise told you to write the sine equation based on the speculations it gave you, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = \frac{1}{2}cos\:524\pi{x},[/tex]in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted [tex]\displaystyle \frac{1}{1048}\:unit[/tex]to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle \frac{1}{1048}\:unit,[/tex]which means the C-term will be positive, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{\frac{1}{1048}} = \frac{\frac{\pi}{2}}{524\pi}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = \frac{1}{2}cos\:(524\pi{x} - \frac{\pi}{2}).[/tex]Now, with all that being said, in this case, sinse you ONLY have the exercise to wourk with, take a look at the above information next to [tex]\displaystyle Wavelength\:[Period].[/tex]It displays the formula on how to define each wavelength of the graph. You just need to remember that the B-term has [tex]\displaystyle \pi[/tex]in it as well, meaning both of them strike each other out, leaving you with just a fraction. Now, the amplitude is obvious to figure out because it is the A-term, so this is self-explanatory. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex]in which each crest is extended one-half unit beyond the midline, hence, your amplitude. So, no matter what the vertical shift is, that will ALWAYS be the equation of the midline, and if viewed from a graph, no matter how far it shifts vertically, the midline will ALWAYS follow.
I am delighted to assist you at any time.
If x represent the number of seconds then the function is f(x)=0.5sin(52π(x))
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given that the middle C key on a piano has a frequency of 262 cycles per second.
Frequency = 262
It has an amplitude of 0.5 unit
Amplitude = 0.5
We have to find the function.
y=Asin(2πf(x))
A is amplitude and f is the function.
y=0.5sin(2π262(x))
y=0.5sin(52π(x))
Hence, if x represent the number of seconds then the function is f(x)=0.5sin(52π(x))
To learn more on trigonometry click:
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Which value of x makes 7+5(×-3)=22
Answer:
x=6
Step-by-step explanation:
7+5(×-3)=22
expand the brackets:
7 + 5x - 15 = 22
simplify:
5x - 8 = 22
add 8 to both sides:
5x = 30
divide both sides by 5
x = 6
hope this helps
brainliest plz?
x
Answer:
7+5 (x-3)=22
7+5x-15=22
5x+ -8=22
5x=30
x=6
Step-by-step explanation:
PEMDAS
First distribute in the parentheses
Then add like terms together
once you have -8, add it on both sides
then divide 5 from both sides to leave the unknown variable by itself
Finally you have the answer
I hope this helps! :)
Which graph shows the amount of money in purse A?
Lo necesito para hoy porfa ¿25/10 en decimal?
A jar containing 12 brown M&Ms and five yellow M&Ms what is the ratio of yellow M&Ms to brown M&Ms
Answer:
5:12
Step-by-step explanation:
you can't simplify your answer so it will be
5:12
how do I do this problem?
Answer:
Step-by-step explanation:
you need to plug in
Please help if you can
Answer:
B
Step-by-step explanation:
the values of t from the table are 7 times the corresponding values of s , so
t = 7s
Kristen worked 39 hours in 6 days.
If Kristen worked the same number of hours each day, how many hours did she work each day? Write an equation to show how you solved the problem.
Answer:
6.5 hours per day
$321.75
Step-by-step explanation:
Given Kirsten worked 39 hours in 6 days:
Number of hours worked in one day = 39 ÷ 6 = 6.5 hours
Given Kirsten is paid $8.25 per hour:
Total pay for 39 hours = 39 × 8.25 = $321.75
the length of a rectangular playground is three three times its width if it has a perimeter of 88m
, what are the dimensions of the playground
Step-by-step explanation:
Length=l
Width=w
l=3w
Perimeter of a rectangle=2(l+w)
2(l+w)=88
l+w=44
3w+w=44
4w=44
w=11
l=3w=33
If Mike has m pencils and Jen has three times as many pencils as Mike, how many more pencils does Jen have?
Answer:
If Sarah has three times as many pencils as Mike she has 3 times the number of pencils Mike has which is equivalent to 3 * m. That means Mike has m pencils and Sarah has 3m pencils. they have m + 3m pencils. The expression would be total: m + 3m.
Step-by-step explanation:
Plz Answer fast
Using the order of operations, what should be done first to evaluate (-2)³ + 4 ÷ (-15 + 9)(3) - 4?
A) Add -15 and 9.
B) Divide 4 by -15.
C) Subtract 4 from 3.
D) Multiply 9 by 3.
Answer:
the answer is A
Step-by-step explanation:
please make me brainliest
A forest covers 42,000 acres. A survey finds that 0.7 % of the forest is old-growth trees. How many acres of old-growth trees are there?
Answer:
6,000,000
Explanation:
42,000 acres is the area you get after you multiply the number of acres of old-growth trees by 0.7%. So you would divide 42,000 by 0.7% to get the number of acres of old-growth trees.
# of acres of old-growth trees * 0.7% = 42,000
# of acres of old-growth trees = 42,000/0.7%
# of acres of old-growth trees = 6,000,000
PS. 0.7% = 0.007
Question 5 Simplify x²-9 / x+3
Answer:
Step-by-step explanation:
[tex]\frac{x^{2}-9 }{x+3}[/tex]
you factorize x²-9 to get (x+3)(x-3)
that would now be [tex]\frac{(x+3)(x-3)}{x+3}[/tex]
x+3 would cancel out the other x+3
then you would be left with (x-3)
Answer:
Hello there buddy I’m MrsNobody and I’m here too help you
Your answer is
x+3)(x−3)x+3
Cancel the common factor.(x+3)(x−3)x+3(x+3)(x-3)x+3
Divide x−3x-3 by 11.
Answer;x−3
Hope it’s helps you buddy
I’m sorry if my answer is wrong
Have a nice day
Good luck with your homework
Step-by-step explanation:
~MrsNobody
PLS HELP
What type of graph should be used to show weight change over 6 months? _____
A. Line graph
B. Bar graph
C. Pie chart
D. Both A and C
Answer:
Bar graph
Step-by-step explanation:
Hopes this helps
1) Which number is IRRATIONAL?
A) 4
B) 16
C) 32
D) 64
Answer:
[tex]\sqrt{32}[/tex]
Step-by-step explanation:
The square root of 4 is 2.
The square root of 16 is 4.
The square root of 32 is 5.65685425.
The square root of 64 is 8.
Therefore [tex]\sqrt{32}[/tex] is irrational.
Hope this helped! :)
35 % as a decimal rounded to the nearest thousandths place
Answer:
Enter any decimal value and get the number rounded to its nearest thousandths in ... Step 2: Now, look at the digit, which is next to the thousandth place.
Translate the sentence into an equation.
Seven times the sum of a number and 8 eguals 5.
Use the variable b for the unknown number.
Answer:
7(b+8) = 5
Hope this helps!
Identify the vertex of the parabola?
Hi!
The vertex is the highest or lowest point on a graph, also known as the maximum/minimum. It is the turning point for the parabola.
In this case, it has a maximum, because the parabola points downward.
Using the graph, we can see the vertex is at point
(3, 4)
Answer:
(3,4)
Step-by-step explanation:
The vertex is a point that is the maximum or minimum of the parabola. (3,4) is the highest point on that parabola so it's a vertex
Need help I’m stuck on 4 of these
Answer:
a^8/b^12 --> a.k.a answer d
Step-by-step explanation:
when there's an exponent outside of a parenthesis of exponents inside, you're basically just going to multiply them together. not add or anything
2 * 4 = 8
3 * 4 = 12
and we cant divide or do anything else with the product b/c a and b are both different variables and we don't know what they are
x=(a+b)/2 solve for a
Answer:
a=2x-b
Step-by-step explanation:
[tex]x=\frac{a+b}{2}\\\\\frac{a+b}{2} = x\\ a+b = 2x\\a= 2x-b\\[/tex]
What is the area of this triangle?
Enter your
answer as a decimal in the box. Round only your final
answer to the nearest tenth. 8, 28, 7
Answer:
13.1 cm² (nearest tenth)
Step-by-step explanation:
Use the sine rule for area of a triangle with 2 sides and an included angle (SAS).
Sine rule for area
[tex]\textsf{Area ABC}=\dfrac12ab \sin C[/tex]
(where [tex]a[/tex] and [tex]b[/tex] are the side lengths and [tex]C[/tex] is the included angle)
Given:
[tex]a[/tex] = 8 cm[tex]b[/tex] = 7 cm[tex]C[/tex] = 28°[tex]\implies \textsf{Area}=\dfrac12\cdot 8 \cdot 7 \cdot\sin (28\textdegree)[/tex]
[tex]=13.14520376...[/tex]
[tex]= 13.1 \textsf{ cm}^2 \textsf{ (nearest tenth)}[/tex]
Use sine rule
Area:-
[tex]\\ \sf\longmapsto \dfrac{1}{2}Base\times Height sin\theta[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{2}(8)(7)sin28[/tex]
[tex]\\ \sf\longmapsto 28sin28[/tex]
[tex]\\ \sf\longmapsto 13.1cm^2(Approx)[/tex]
There are 300 seeds in a packet of flower seeds.
Each seed will grow into a white flower or a yellow flower or a red flower.
The probability of a seed growing into a white flower is 0.62
45 of the seeds are expected to grow into yellow flowers.
One of the seeds is chosen at random from the packet.
What is the probability that this seed will grow into a red flower?
(3 marks)
Answer:
.23
Step-by-step explanatio
45 of the seeds will be yellow. So the probability of a yellow flower is
45/300 = .15
Total probability = probability of white + probability of yellow + probability of red
or
1 = P(W) + P(Y) + P(R)
we know P(W) = .62. So let x = probability of a red flower
1 = .62 + .15 + x
1 = .77 + x
x = .23
in a car race feild(round track that is 500m diameter an observer was starting point and the race started a red car finished 5 laps in 30 minutes write a sin function to determine the distance between the observer and the red car at the minute graph the function.
Answer:
Distance between the observer and the red car is [tex]250 Sin \frac{\pi}{3}t[/tex]
Step-by-step explanation:
Diameter of field = 500 m
Radius of field =[tex]\frac{Diameter}{2}=\frac{500}{2}=250 m[/tex]
Let R be the radius and the speed at which the car completes race be w
So,[tex]w=\frac{2\pi}{T}[/tex]
Car finished 5 laps in minutes = 30
Car finished 1 lap in minutes = [tex]\frac{30}{5}=6[/tex]
So, [tex]w=\frac{2\pi}{6}=\frac{\pi}{3}[/tex]
Refer the attached figure
Angle between car and observer = wt
So, Distance between the observer and the red car is give as A sin wt
So, Distance between the observer and the red car=[tex]250 Sin \frac{\pi}{3}t[/tex]
The ratio of boys to girls at a movie is 4:7 . If there are 21 girls, how many boys are at the movie?
Answer:
12 boys
Step-by-step explanation:
i took the 7 that represents the girls and multiplied by 3 to get 21 (how many girls are there)
So then i took 4 multiplied 3 and thats how i got the answer 12 (brainllist Plz!)
How do you do this question?
Answer:
None of the above
Step-by-step explanation:
According to the divergence test, if the limit of a sequence as n approaches infinity does not equal 0, then the series diverges. (Notice that if the limit does equal 0, the series doesn't necessarily converge).
According to the geometric series test, a geometric series converges if -1 < r < 1, and diverges otherwise.
The first series is a geometric series with r = -5/3. So it diverges.
The second series is also a geometric series:
3ⁿ⁻¹ / 2ⁿ = ⅓ (3ⁿ / 2ⁿ) = ⅓ (3/2)ⁿ
r = 3/2, so it diverges.
For the third series, the limit as n approaches infinity equals 1. This fails the divergence test, so this series also diverges.
For the fourth series, the limit as n approaches infinity equals 1. This fails the divergence test, so this series also diverges.
When recording a transaction in a journal, the account listed first is always the:
Answer:
da te
Step-by-step explanation:
To find the value of an expression is to what?
A) Variable
B) squared
C) evaluate
D) algebra
Answer:
evaluate
Step-by-step explanation:
um duh
but I hope I helped in some way
4•5+-4 pls help help help help help
Answer:
16
Step-by-step explanation:
1. Use acronym PEMDAS (parentheses, exponents, multiplication/division, addition/subtraction) to determine the order of operations.
2. Since there are no parentheses or exponents, multiply first:
4*5=20
3. Now, the expression reads 20+-4. Adding a negative is the same as subtracting that value.
20-4=16
Hope this helps!!
Which statement accurately describes the graph 2y=4x+8?
A
an increasing line that passes through (0, 4)
B
a decreasing line that passes through (0, 0)
C
an increasing line that passes through (0, 8)
D
a decreasing line that passes through (0, 2)
By rewriting the linear function we will see that the correct option is A.
"an increasing line that passes through (0, 4)"
Which statement describes the graph?
Here we have the linear function:
2y = 4x + 8
We can rewrite it to get the function in the slope-intercept form:
y = (4x + 8)/2
y = 2x + 4.
So, the slope is positive, this implies that we will have an increasing line.
We also can see that the y-intecept is 4, this means that the line passes through the point (0, 4).
From that, we can conclude that the correct option is A.
If you want to learn more about linear functions, you can read:
https://brainly.com/question/4025726