A) The type of variation between pitch and wavelength is an inverse variation. b) the pitch when the wavelength is 5 feet would be 132 hertz.
What is Inverse Variation?we know that the Inverse Variation is a relationship between two variables in which the product is a constant.
Let x be a pitch of a musical instrument
y be the wavelength
x*y=k
We need to find the value of k for x=220 hertz and y=3 ft
Then x*y=k
220*3=k
k=660
And for x=165 hertz , y=4 ft
x*y=k
165*4=660
k=660
A) Therefore, the type of variation between pitch and wavelength is an inverse variation.
B) the pitch when the wavelength is 5 feet;
x=?
y=5 ft
k=660
x*y=k
Then solve for x
x=k/y
x=660/5
x=132 hertz
Part b) the pitch when the wavelength is 5 feet would be 132 hertz
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The complete question is;
"A musical instrument has a pitch of 220 hertz when the wavelength is 3 feet. When the wavelength is 4 feet, the pitch is 165 hertz. What is the type of variation between pitch and wavelength? What is the pitch when the wavelength is 5 feet? hertz"
Evaluate each expression for the given value of the variable. 2 z+3+5-3 z ; z=-3
The result of the expression 2z+3+5-3z for the variable z= -3 is 11
Given,
The algebraic expression = 2z+3+5-3z
Rearrange the terms
= 2z-3z+3+5
Combine the like terms
= -z+8
We know, z= -3
Substitute the values in the expression
-z+8= -(-3)+8
=3+8
=11
Hence, the result of the expression 2z+3+5-3z for the variable z= -3 is 11
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PLS HELP, I'll mark brainliest and it's 20 points.
The Pirouette Dance Team needs more than $300 to cover costume expenses. They have $75 and plan to sell raffle tickets for $5 each in order to raise money.
Which inequality represents the situation where r is the number of raffle tickets the team needs to sell?
5r+75≤300
5r+75≥300
5r+75>300
5r+75<300
Answer:
5r + 75 > 300
Hope this helps :)
They need more than $300, so the inequality sign is >. They already have 75 so we will add that to the total amount of raffle tickets sold afterwards. Lastly, the raffle tickets are $5 each, so r will be the number of tickets sold.
A cereal box manufacturer changes the size of the box to increase the amount of cereal it contains. The expressions 11 + 6.2n and 8 + 6.4n, where n is the number of smaller boxes, are both representative of the amount of cereal that the new larger box contains. How many smaller boxes equal the same amount of cereal in the larger box?
The larger box of cereal has as much cereal as ___ smaller boxes.
Answer:
20 students in hostel have provision for 60 days if 10 more student are admitted to the hostel for how many days would the provision be enough
Write a proof of the following.
Theorem 4.9 (Hint: Use the Pythagorean Theorem.)
There are above and beyond 371 Pythagorean Hypothesis confirmations, initially gathered and put into a book in 1927, which incorporates those by a 12-year-old Einstein (who utilizes the hypothesis twenty years after the fact for something about somewhat), Leonardo da Vinci and Leader of the US James A.
What is the definition of Pythagorean theorem?In science, the Pythagorean hypothesis, or Pythagoras' hypothesis, is a basic connection in Euclidean math among the three sides of a right triangle. It expresses that the region of the square whose side is the hypotenuse is equivalent to the amount of the region of the squares on the other different sides.
The Pythagorean equation be a² + b² = c²
a be the side of right triangle
b be the side of right triangle
c be the hypotenuse
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Rachel found this rate of change for the scenario represented in the table
What can you conclude from her work? Check all that apply
THE FUNCTION IS CONTINOUS - True
We see from the table that for every hour given, there will be a value of juice (cups). The graph would have been a linear graph between the time 4 hours and 8 hours with no jump or holes in the chart.
TIME REPRESENTS THE DEPENDANT VARIABLE - False
Time is the independent variable as it does not depend on any other value. The number of cups, on the other hand, depends on the number of hours, hence is a dependent variable
THE SCENARIO IS REPRESENTED BY
A LINEAR FUNCTION, SINCE THE RATE OF CHANGE, IS CONSTANT - True
The rate of change is 53 cups per hour, hence the function is linear.
AS THE AMOUNT OF TIME CONTINUES, THERE ARE FEWER CUPS OF JUICE POURED PER HOUR - False
The rate of change is a positive value, hence the number of cups poured per hour will increase
FOR EVERY ADDITIONAL HOUR, 53 CUPS OF JUICED IS POURED - True
The difference between the number of cups poured hourly is a constant of 53
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Question content area top
Part 1
Solve the compound inequality
Answer:
It's C
Step-by-step explanation:
Trust me bro
I need help with this please asap
Answer:
|Least percentage = |32% - 5%| = 27%
Greatest percentage = |32% + 5%| = 37%
Step-by-step explanation:
|Percentage who favor ± error
What are the points of discontinuity of y = x(2 x-1)(x+1) / (x+5)(x+1) ?
The points of discontinuity of the given function can be determined by finding out the common factor in the numerator and denominator, equating and solving it for zero, and finding the corresponding value of f(x).
Point of discontinuity exists when the function does not exist in its domain. Also called holes, it is a value where the function is undefined (zero denominator). The point of discontinuity exists when the numerator and denominator have a common factor(s).
In order to determine the coordinates of point of discontinuity, simplify the function by canceling out the common factor. Hence, canceling out the (x+1)
y = x(2x-1)(x+1)/(x+5)(x+1)=x(2x-1)/(x+5)
Determine the non-permissible value of x by equating the canceled-out factor to zero.
x+1=0
x=-1
Substitute the value of x in the simplified function to find corresponding value of y:
y =x(2x-1)/(x+5) =-1(2(-1)-1)/(-1+5)
=-1(-2-1)/(4)
=-1(-3)/4
=3/4
The point of discontinuity of the function y = x(2x-1)(x+1)/(x+5)(x+1) is (-1,3/4).
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Suppose an MP3 player cost 499 in 2003 and 249.99 in 2009 .
b. Based on the data, how much does the price drop per year?
Per year price drop is -41.50$
The cost of an MP3 player in the year 2003 is = $ 499
The cost of an MP3 player in the year 2009 is = $ 249.99
The price drop per year will be –
We need to subtract the base year price from that of the current year price and divide that by the difference between the base year and the current year
The year that serves as the standard against which subsequent values are measured is referred to as the base year.
The term "current year" refers to the fiscal year that has already begun but has not yet completed its cycle.
So,
(499-249.99) / (2003-2009)
249.01 / -6 = -41.50 $
Hence per year price drop is -41.50$
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Please help I will make you brainliest if the answer is correct. 5+4 x 2+ 6-2 x 2-1
Answer:
14
Step-by-step explanation:
use order of operations (PEMDAS: Parenthesis, exponents, multiplication, division, addition, subtraction)
5 + 4 * 2 + 6 - 2 *2-1
5+ 8 + 6 -4 -1
13+6-4-1
19-4-1
15-1
14
Evelyn has completed 5/12 of her ELA class essay. Evaluate this value as a decimal. SHOW YOUR WORK here using long division. please
Evaluating 5/12 a decimal gives 0.4166666666....≈ 0.4167
Given data
5/12 of her ELA class essay
How to rewrite to decimal using long division5 / 12 is same as 12 dividing 5
this is done as follows
12 | 5
we form the decimal in the answer column then add 0 to 5 to get 50
12 | 50 0.
12 | 50 0.4 50 - (12 * 4 )= 50 - 48 = 2
12 | 2 0.4
add 0 to 2 to get 20 and divide by 12
12 | 20 0.41 20 - ( 12 * 1 ) = 20 - 12 = 8
add 0 to 8 to get 80 and divide by 12
12 | 80 0.416 80 - ( 12 * 6 ) =80 - 72 = 8
add 0 to 8 to get 80 and divide by 12
12 | 80 0.4166 80 - ( 12 * 6 ) =80 - 72 = 8
The procedure is repeated to get 0.4166666666....≈ 0.4167
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0.5(3.34+10)9 how do I answear this?
Answer:
Step-by-step explanation:
1). You would add the numbers inside of the parenthesis first this would give you (13.34) inside of the parenthesis.
2). You equation should look like 0.5(13.34)9 now then you would multiply the 0.5 to the number inside of the parenthesis and you will have (6.67)9 now.
3). Lastly you will multiply the 6.67 to the 9 and you will get 60.03 as your final answer.
Cadence went to the amusement park and paid $14.25 for a souvenir refill cup. Refills cost $1.25 each. If Cadence spent a total of $23, how many refills did she get?
Answer:
Cadence had gotten 7 refills.
Step-by-step explanation:
$14.25 + $1.25r = 23$
23 - 14.25 = 8.75
8.75/1.25 = 7
r = 7
2 9 14 36 40 here are some numbers which number is a mutiple of 12 which number is a prime number which number is a factor of 64
Answer:
Answer: 36 is a multiple of 12.2 is a prime number. 2 is a factor of 64
Step-by-step explanation:
12 × 3 =36, so 12 is one of the factors. 2 is the only even prime number. All other even numbers are multiples of 2. So 9 is not a prime number. 3 × 3 = 9. So 2 is a factor of 64. 2 × 32 = 64 None of the other numbers given can divide evenly into 64, so they are not factors of 64.
At a school recess, there needs to be a ratio of 2 adults for every 24 children on the playground. how many adults are needed if there are 72 children? *
Answer: 6
Step-by-step explanation: 2=24 4=48 6=72
question is in the picture
What is the x-value of the solution of
x + y = 7 , 3x - 2y = 11 ?
The x-value of the solution of x + y = 7 , 3x - 2y = 11, is equal to 5.
The given equations are linear equations in two variables since there are two unknown variables present in these equations.
Considering equation number one to be, x + y = 7
and equation number two to be, 3x - 2y = 11
By rearranging the first equation, the value of x can be considered to be:
x + y = 7
x = 7 - y
Adding this value of x in the second equation for the solution of y;
3 (7 - y) - 2y = 11
21 - 3y - 2y = 11
Rearranging,
21 - 11 = 3y + 2y
10 = 5y
y = 10 ÷ 5
y = 2
By adding this value of y to the first equation, the value of x can be found as follows,
x + y = 7
As y = 2
x + 2 = 7
x = 7 - 2
x = 5
Hence, the value of x is calculated to be 5.
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Some two-step equations can be written in the form ax + b = c, where a, b, and c are constants and x is the variable. a. Write the equation ax + b = cin terms of x. b. Use the formula to solve 3x + 7 = 19 and x-1=5.
a. the equation of the formula in terms of x is: x = (c - b)/a
b. x = 4 and x = 6
How to Solve an Equation?Where we have a, b, and c as constants of the equation, ax + b = c, and the variable is x, we can solve for the value of x as shown below:
ax + b = c
Subtract b from both sides
ax - b = c - b
ax = c - b
Divide both sides by a
ax/a = c/a - b/a
x = c/a - b/a
x = (c - b)/a
b. 3x + 7 = 19
a = 3, b = 7, and c = 19
Substitute a = 3, b = 7, and c = 19 into x = (c - b)/a
x = (19 - 7)/3
x = (12)/3
x = 4
x - 1 = 5
a = 1, b = -1, and c = 5
Substitute a = 1, b = -1, and c = 5 into x = (c - b)/a
x = (5 - (-1))/1
x = 6/1
x = 6
In summary, we have:
a. the equation of the formula in terms of x is: x = (c - b)/a
b. x = 4 and x = 6
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b. Write an equation of the line through (1,1) and perpendicular to the line in part (a).
The equation of the line is x - y = 0.
The slope of the line passing through (13,-1) and (8,4).
m=y2-y1 / x2-x1
= 4-(-1) / 8-13
= 5 / -5
m=-1
The product of slopes is done in the case of perpendicular lines and it is 1.
The slope of another line will be
m.m1=-1
m1=-1/m
m1=-1/-1
m1=1
The equation of the line is
y-y1=m(x-x1)
y-1=1(x-1)
x-y=0.
Thus the equation of the line is x-y=0.
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Although part of your question is missing, the question is What is the equation of the line that passes through (1,1) and is perpendicular to the line that passes through the following points:
(13,-1) and (8,4)
I'm giving out points. So answer if you want points, answer.
Step-by-step explanation:
無料ポイントを与えないように質問することになっています
I just need help with this problem and more!! 3. What is the perimeter of the figure shown below, which is not drawn to the scale?
Answer:
8x+12
Step-by-step explanation:
To find the Perimeter, we need to add all 4 sides together. In this case, we would do:
x+4+x+4+3x+2+3x+2
Now, we have to combine like terms.
x+x+3x+3x=8x.
4+4+2+2=12
The final answer would be 8x+12 or 12 +8x.
You can put whichever answer you want because it doesn't matter.
Hope this helps!
:D
Determine whether AB and XY are
parallel, perpendicular or neither.
A(-3,5) B(-1,3) (-4.-8) Y(4,-6)
The two lines AB and XY are neither parallel nor perpendicular.
According to the question we have been given the respective coordinates which are :
A = (-3,5) , B = (-1,3)
X = (-4,-8) , Y = (4,-6)
We need to find if AB and XY are parallel , perpendicular or neither.
So to find if they are parallel or perpendicular we will first find out the slope of the line. As when the slope are equal then they are parallel and if they are negative reciprocals of each other then they are perpendicular to each other .
Thus, Slope of AB = [tex]m_{1}[/tex] = [tex]\frac{(y_{2}-y_{1} ) }{(x_{2}-x_{1} ) }[/tex]
[tex]m_{1}[/tex] = (3-5)/(-1+3)
[tex]m_{1}[/tex] = -2/2
[tex]m_{1}[/tex] = -1
Slope of XY = [tex]m_{2}[/tex] = (-6+8)/(4+4)
= 2/8
= 1/4
As the slope of both lines are not related to each other. Hence, the lines AB and XY are neither parallel nor perpendicular.
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Much a
5. The box plot represents the distribution of the
number of points scored by a cross country team
at 12 meets. (Lesson 1-2)
22 24 26-28 30 32 34 36 38 40-42-
Points
a. If possible, find the mean. If not possible, explain why not.
b. If possible, find the median. If not possible, explain why not.
34
c. Did the cross country team ever score 30 points at a meet?
a. Frequency is not displayed on a box plot, so it is impossible to find the mean.
b. The median = 34.
c. It is difficult to determine by looking at the box plot.
How to Determine the Median of a data Distribution From a Box Plot?A box plot is a graphical display of the five-number summary of a data which includes the upper and lower quartiles, the maximum and minimum data points, and the median which is at the point where the vertical line divides the box.
In a box plot, the measure of center that can easily be determined is the median value, which lies between the upper and lower quartiles. The box plot doesn't show the frequency of each data point which makes it difficult to calculate the mean of the data.
a. It is impossible to find the mean using a box plot as frequency for each data is not displayed.
b. The median = 34.
c. It is difficult to tell if the cross country team scored exactly 30 points at a meet by mere looking at the box plot.
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2+2=? I need an answer, please
Answer:
2+2=4 very simple is the answer
Answer: 4
Step-by-step explanation:
2+2=?
2+2=4
?=4
11 m
The figure shows a diver diving from a platform. The diver reaches a depth of 4 meters. What is the change in elevation of the diver?
The change in the elevation of the diver is meter(s).
Sorry ik the pic is blurry
The diver's elevation changes by 15 meters.
The diver is initially stopped at a height of 11 meters.
After that, he leaps, falling 11 meters, causing an initial elevation drop of 11 meters.
Finally, he descends to a depth of 4 meters, or 4 meters below the surface of the water, adding 4 more meters to the elevation change (11 + 4 = 15).
The angle of elevation is the angle created between the line of sight and the horizontal. The angle created is an angle of elevation if the line of sight is upward from the horizontal line.
You may calculate the angle of elevation, for instance, by standing on the ground and looking up at the peak of a mountain. For instance, you can determine the angle of elevation by standing on the ground and gazing up at a mountain's peak.
Therefore, making the diver's elevation change 15 meters.
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1. Name two angles that form a linear pair
2. Give another name for
3. Name three collinear points
4. Name two opposite rays
5. Name a pair of vertical angles
the linear pair is formed by the angles ∠ APC and ∠ CPR, the another name can be intersecting lines, the three collinear points are A, R and Q, the opposite rays are CP and PD and a pair of vertical angles are ∠ ACP and ∠ DPR.
We are given a ray diagram.
The two angles that form a linear pair are:
∠ APC and ∠ CPR
The another name for this can be the intersecting lines.
The three collinear points will the ones that are forming a straight line.
So, they will be = A, R and Q or R, Q and B
The two opposite rays will be:
CP and PD
AP and PR
A pair of vertical angles can be:
∠ ACP and ∠ DPR
Therefore, we get that, the linear pair is formed by the angles ∠ APC and ∠ CPR, the another name can be intersecting lines, the three collinear points are A, R and Q, the opposite rays are CP and PD and a pair of vertical angles are ∠ ACP and ∠ DPR.
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In this problem, you will explore changing dimensions in circles.
a. Use a compass to draw three circles in which the scale factor from each circle to the next larger circle is 1: 2 .
A circle is a curve sketched out by a point moving in a plane. The radius of three circles will be 1 unit, 2 units, and 4 units, respectively.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.
Given that the scale factor from each circle to the next larger circle is 1: 2. Therefore, if it is assumed that the radius of the first circle is 1 unit, then the radius of the second circle will be,
The radius of the first circle/Radius of the second circle = 1/2
The radius of the second circle = 2 × (Radius of the first circle)
The radius of the second circle = 2 × 1 unit
The radius of the second circle = 2 units
Similarly, the ratio for the radius of the second and the third circle can be written as,
The radius of the second circle / Radius of the third circle = 1/2
The radius of the third circle = 2 × (Radius of the second circle)
The radius of the third circle = 2 × 2 units
The radius of the third circle = 4 units
Hence, the radius of three circles will be 1 unit, 2 units, and 4 units, respectively.
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Stella is using her compass and straightedge to complete a construction of a polygon inscribed in a circle. which polygon is she in the process of constructing? a circle is drawn with five arc markings that lie on the circle, with an additional point also marked on the circle. a regular octagon a square a regular pentagon a regular hexagon
The polygon is a regular hexagon.
Stella is using a compass and a straight edge to construct a polygon inscribed in a circle.
Also the circle is drawn with five arc markings that lie on the circle. Also there is an additional point marked on the circle.
So there are in total 6 points on the circle. Also the lines joining these five points will be equal. So we will get a regular hexagon through this construction.
The following is the process of construction.
First she starts at a point on the circle placing the compass there. Then she will measure the radius of the circle on compass. Fixing this distance, she will draw an arc on the circle. The process is repeated by placing the compass on the new point obtained on the circle.
So in total she will get the 6 vertexes of the regular hexagon. Joining the adjacent points, a regular hexagon is inscribed inside the circle.
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Answer: A regular hexagon
Rosie ate 2 1/2 bananas on Saturday. On Sunday she ate 1/2 as many bananas as she ate on Saturday. How many bananas dod Rosie eat over the weekend?
Answer:
0.5
Step-by-step explanation:
because 1/2=0.5 jgxuydiyxiyxit ugxutx itxutx itxugx
Question is down below, please answer only if you know :)
Answer: b:180
Step-by-step explanation: since it 100% cant be A:90 or d:360 it could be c: 270 but after i looked up that angle, no not at all. so the only one that makes since is b:180
