The frequency of the 10 inch violin string will be 630 cycles per second or Hertz if the violin string 14 inches long vibrates at a frequency of 450 cycles per second.
As per the question statement, A violin string 14 inches long vibrates at a frequency of 450 cycles per second and we are supposed to find out the frequency of a 10-inch violin string.
We should be knowing that the length of a violin string varies inversely as the frequency of its vibrations.
f = m/l, where "f" is the frequency and "l" is the length and "m" is the constant number
450 = m / 14
m = 6300
Therefore New frequency = 6300 / 10 = 630 cycles per second
Frequency: The number of oscillations or cycles per second or per unit time and it's SI unit is Hertz or cycles per second.To learn more about frequency, click on the link given below:
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The area of a trapezoid is given by the formula A=12(b1+b2)h. Solve the equation for b2.
In a case whereby the area of a trapezoid is given by the formula A=12(b1+b2)h then the equation for b2 is b2= (A - 12hb1)/12h.
How can the value of the term b2 be expressed?
The formula for the trapezoidis given as A=12(b1+b2)h , where the value of term b2 is been exdpected to be found.
firstly, we need to open the bracket as :
A=12(b1+b2)h
A= 12hb1 + 12hb2
Then this can be simplified as 12hb2= (A - 12hb1)
Then we can try to make the b2 the subject of the formula as
b2= (A - 12hb1)/12h.
Therefore, the value of the term b2 can be written as b2= (A - 12hb1)/12h.
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6) Arrange in ascending order: 0.3,
26%, ½
Answer:
0.3,1/2,26%
Step-by-step explanation:
ascending order if arranging from smallest to highest .In this case, 0.3 Is the smallest followed by 1/2 and then 26%.
*11.
How many total terms are there in the following sequence?
7, 10, 13,..., 391, 394
The total terms that in the following sequence 7, 10, 13,..., 391, 394 is 130
What is an arithmetic sequence?The formula for the nth term of an arithmetic sequence is expressed as;
Tn = a + (n-1)d
Where;
Tn is the last terma is the first termn is the number of termsd is the common differencea = 7
Tn = 394
d = 3
Substitute the value in the formula, we have;
394 = 7 + ( n -1) 3
expand the bracket
394 = 7 + 3n - 3
collect like terms
394 - 4 = 3n
find the difference
390 = 3n
Make 'n' the subject of formula
n = 390/3
n = 130
Hence, the number is 130
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A solid glass cylinder, which is used in an expensive laser amplifier, has a volume of 75vm^3. The cost of polishing the surface area of this glass cylinder is £2 per cm² for the curved surface area and £3 per cm^2 for the circular top and base areas. Given that the radius of the cylinder is r cm, (a) show that the cost of the polishing, £C, is given by C = 6πr² + 300/r
The cost of the polishing, £C, is given by C = 6πr² + 300/r.
The volume of the solid cylinder is 75 m³.
Formula for volume of cylinder = πr²h.
Where R is rhe radius of cylinder and h is the height of the cylinder.
So we can write,
πr²h = 75
h = 75/πr².
So the height of the cylinder is 75/πr² centimeters.
Curved surface area of the cylinder is 2πrh m².
Cost of polishing the curved surface area is £2/cm².
Total cost of polishing the curved surface area = £2×2πrh
Area of the base and the top is 2(πr²).
Cost of polishing base and top is £3/cm².
Cost of polishing 1m² of the base and top,
Cost of area of base and top = £3/cm².
Total Cost of polishing base and top area = £3×2(πr²)
The total cost C of polishing the whole glass,
C = 4πrh + 6πr²
Puting the value of h = 75/πr²
C = 4πr(75/πr²) + 6πr²
C = 6πr² + 300/r.
Hence it is proved that the total cost of polishing is,
C = 6πr² + 300/r.
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*Similarity & transformations (practice) | Khan...
Pedro was curious if circles A and B (with X and Y being on each circle, respectively) were
similar, so he tried to map one figure onto the other using rigid transformations.p
1
Loading
COUP
Pedro concluded:
PO
X
"It's not possible to map circle A onto circle B using a sequence of rigid transformations, so
the circles are not similar."
Choose 1 answer:
What error did Pedro make in his conclusion?Perdo concluded: “it’s not impossible to map circle a onto circle b using a sequence of rigid transformations so the circles are not similar”. What error did Pedro make in his conclusion?
A round plane figure whose boundary ( circumference) consists of the points equidistant from a fixed point (the center). In the above question Pedro was wrong.
What is a circle?All the points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in plane draws to keep its distance from a specific point constant.
The tactic Pedro frequently used is ineffective since applying strict transformation to one figure and then onto another will only demonstrate whether the figures are congruent, not whether they are comparable.
Keep in mind that resemblance, as opposed to congruence, is about the proportionality between the dimensions of those figures. Therefore, when we overlay the figures, they won't match.
Pedro should divide each set of matching coordinates to demonstrate similarity; if all divisions provide the same outcome, the figures are said to be comparable.
Therefore, Pedro was not wrong.
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Installing custom glass windows costs $400 for the install and $30 per square foot of
glass needed for your windows. The total charge for your window installation was
$4900. Translate this information into an equation using a to represent the number of
square feet of glass used for your windows.
Using your equation, determine the number of square feet of glass used for your
windows.
Please help ASAP really bad at math and can’t afford a tutor.
Part 1
[tex)400+30x=4900[/tex]
Part 2
[tex]30x=4500 \\ \\ x=150[/tex]
So, the answer is 150 ft².
A market sells candy
bars for $4.20. How
much do 8 candy bars
cost?
Answer: 33.6
Step-by-step explanation:
Answer:
33.6
Step-by-step explanation:
4.20 x 8 = 33.6
Salma fills an aquarium to a depth of 4/5 meters in 8 minutes.
What is the unit rate in minutes per meter?
The unit rate is 10 minutes per meters.
What is rate of time?
Time is in units of seconds, minutes, hours, or years. Rate is distance per time, so its units could be mph, meters per second, or inches per year.
rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute.
Given,
she fills 4/5 meters in 8 minutes.
let x be the time she fills minutes per liter.
4/5 meters ⇔ 8 minutes
1 meter ⇔ x minutes
Cross multiplying
4/5*x = 1*8
x = 5*8/4
x = 10 minutes
The unit rate is 10 minutes.
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ive been stuck on this question and i will give extra points but i just dont get this question
According to the solution Angle 3 is measured at 48 degrees.
What is a neighboring angle?Adjacent angles seem to be two angles that share a side and then a vertex but do not overlap at all (corner point). It is clear what is meant when the term "adjacent angles" is broken down; they are just two angles that seem to be close to one another.
Are the adjacent angles equal?Adjacent angles seem to be two angles that do not overlap but share a vertex and a side. In the figure, angles 1 and 2 are close by. Both their common side and vertex are the same.
According to the given data:Angle 3 and angle 132 degrees are nearby angles in this scenario.
Consequently,
angle3 plus 132 degrees equals 180 degrees.
angle 3 = 48 degree
angle 3 = 180-132 degree
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During a journey, a motorbike travels between two sets of traffic lights. The graph shows the motorbikes velocity for this part of the journey. What is the distance between the traffic lights?
2.5 m/s² is the distance between the traffic lights .
Defining acceleration Short response?
The rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting.The three different types of accelerated motions are uniform acceleration, non-uniform acceleration, and average acceleration. The motion in which an item moves in a straight line while increasing in velocity at regular intervals is referred to as uniform acceleration.from the picture V = 15 m/s
t = 6 sec
a = Δv/Δt = 15/6 ⇒ 2.5 m/s²
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Work out a+2b as a column vector
hope this helps. . .....
Please look at the photo and help me please or I’ll get a F
All you need to do is find the error out of the 3 choices and tell me what is the error
PLEASE AND THANK YOU
Answer:
It is the setup.
Step-by-step explanation:
Only 6 is negative. The 11 also needs to be negative.
In a survey 34% of population was found to know hindi 46% to know english and 23% to know both languages.what is the percentage of those knowing neither hindi nor english.
We would find the percentage of those knowing neither Hindi nor English in the population using set theory,
Percentage of population knowing English (A) = 46%
Percentage of population knowing Hindi (B) = 34%
Percentage of population who know both languages (A U B) = 23%
therefore,
Applying set theory,
A U B = A + B - (A ∩ B)
23% = 36% + 46% - ( A ∩ B)
A ∩ B = 80% - 23% = 57% population knows either Hindi OR English.
So, Population who neither know Hindi or English = 100% - 57% = 43%
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A and B are two cylinders that are mathematically similar.
The area of the cross-section
of cylinder A is 18 cm².
Work out the volume of cylinder B.
+
18 cm2
A
5 cm
B
10 cm
The most appropriate choice for similarity of figures will be given by
Volume of cylinder B is 720 [tex]cm^2[/tex]
What is similarity of figures?
Two figures are said to be similar if they have same shape but different sizes.
Actually sides of similar figures are proportional
Ratio of heights of cylinder A and B = 5 : 10
= 1 : 2
Ratio of areas of cylinder A and cylinder B = [tex]1 ^2 : 2^2[/tex]
= 1 : 4
Area of cylinder A = [tex]18[/tex] [tex]cm^2[/tex]
Area of cylinder B = [tex]18 \times 4\\[/tex]
= [tex]72[/tex] [tex]c[/tex][tex]m^2[/tex]
Height of cylinder B = [tex]10 cm^2[/tex]
Volume of cylinder B = Area of cylinder B [tex]\times[/tex] Height ofcylinder B
= [tex]72 \times 10[/tex]
= [tex]720[/tex] [tex]cm^2[/tex]
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Complete Question
The image of the question has been attached with this question.
There are 600 pipes in stock at Patty’s hardware store. She randomly selects 40 pipes and finds that 8 of the pipes are made of chrome. How many pipes in stock at her store can Patty predict are made of chrome?
The number of pipes that are made of chrome according to the prediction by Patty are 120.
It is given in the question that :-
Number of pipes in stock at Patty's hardware store = 600
Number if pipes randomly selected by Patty = 40
Number of pipes of chrome = 8
Hence, we can write,
Probability of chrome pipes = 8/40 = 1/5
Therefore, we can write,
Number of pipes that are made of chrome according to the prediction by Patty = (1/5)*600 = 120
Probability
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
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Solve: 8a² +18a+ 4 = 0
Step-by-step explanation:
Splitting the middle term
8a^2 +16a + 2a+4 =0
8a (a+2) +2(a+2) = 0
(8a+2) (a+2)
8a=-2 , a = -2
a= -2/8
a= -1/4
a ( -1/4 , -2)
SOLVE ASAP PLEASE TAKING A TEST!!!
The equation of the circle with the centre (5,7) and containing the point p (1,9) is [tex]\sqrt{20} =(x-5){2}+(y-7){2}[/tex]
How to find the equation of a circle ?The equation for a circle in standard form is [tex](x-x1){2}[/tex]+ [tex](y-y1){2}[/tex] = [tex]r{2}[/tex], where (x, y) denotes arbitrary coordinates on the circle's perimeter, r denotes the circle's radius, and (x1, y1) denotes the coordinates of the circle's centre.
The equation of a circle with centre (x1,y1)
[tex](x-x1){2}[/tex]+ [tex](y-y1){2}[/tex] = [tex]r{2}[/tex]
we know the centre , which is (5,7) so the equation changes to:
[tex](x-5){2}[/tex]+ [tex](y-7){2}[/tex] = [tex]r{2}[/tex]
putting the values of the point p we get
[tex](1-5){2}[/tex] [tex]+ (9-7){2}[/tex][tex]= r{2}[/tex]
r=[tex]\sqrt{20}[/tex]
so the equation of the circle will be:
[tex]\sqrt{20} =(x-5){2}+(y-7){2}[/tex]
Therefore the equation that satisfies the given condition of a circle with centre (5,7) and containing point p (1,9) is [tex]\sqrt{20} =(x-5){2}+(y-7){2}[/tex]
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The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them. The force is 0.084 Newtons when the distance between the objects is 3 metres. Work out d (rounded to 2 DP) when F = 0.029 Newtons.
The distance when F = 0.029 based on the computation is 5.1 meters.
How to calculate the distance?From the information, the force, F between two objects is inversely proportional to the square of the distance.
This willilk be illustrated as:
F = k / D²
We will find the value of k. This will be:
F = k / D²
0.084 = k / 3²
0.084 = k / 9
Cross multiply
k = 9 × 0.084 = 0.756
Therefore, the distance when F = 0.029 will be:
D² = k / F
D² = 0.756 / 0.029.
D² = 26
D = ✓26
D = 5.1
The distance is 5.1 meters.
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Drag the numbers below to put them in order from least to greatest:
8.66 8.6 8.611 8.641 8.63 8.691
8.6 8.63 8.66 8.611 8.641 8.691
2. Solve the equation using addition or subtraction.
5.5 = −2+d
Od=5
Od = 7.5
Od = 5.5
Od = 3.5
The value of d after addition or subtraction is 7.5
What is basic algebra ?The area of mathematics known as algebra aids in the representation of circumstances or problems as mathematical expressions. To create a meaningful mathematical expression, it takes variables like x, y, and z together with mathematical operations like addition, subtraction, multiplication, and division. Algebra is used in every discipline of mathematics, including trigonometry, calculus, and coordinate geometry.
Given that : the equation is 5.5 = −2+d
5.5 = −2+d
5.5 + 2 = d
7.5 = d
The value of d after addition or subtraction is 7.5
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PLEASE HELP need answer now
Answer:
82°
Step-by-step explanation:
Exterior angle property of triangle:The exterior angle of triangle equals the sum of opposite interior angles.
∠C + ∠B = 143°
61+ ∠B = 143
∠B = 143 - 61
∠B = 82°
The perimeter of a college basketball court is 96 meters and the length is 14 meters more than the width. What are the dimensions?
The dimensions of the college basketball court with a perimeter of 96 meters are:
Length = 31 metersWidth = 17 meters.What are the dimensions of a perimeter?The dimensions of a rectangular perimeter, like a basketball court, are the two sides (length and width).
The perimeter of a rectangle measures the four sides, that is, the two long sides and two wide sides.
The perimeter is given by the perimeter equation, P = 2(a+b).
The perimeter of the basketball court = 96 meters
The perimeter = 2(Length + Width)
2(Length + Width) = 96 meters
Length = 14 meters more than the width
The total difference of the two lengths = 28 meters (14 x 2)
Width = 17 meters (96 - 28)/2
Length = 31 meters (17 + 14)
Check:
Perimeter = 2(Length + Width)
96 meters = 2(31 + 17)
96 = 62 + 34
96 = 96
Thus, the college basketball court with a perimeter of 96 meters has the following dimensions: 31 meters in length and 17 meters in width.
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Melissa and her mom are going on a trip. If they travel
238 miles a day for 13 days, how many miles will they
travel altogether?
In 13 days they will travel 1904 miles altogether.
What is multiplication?Multiplying in math is the same as adding equal groups. The number of items in the group grows as we multiply. Parts of a multiplication issue include the product, the two factors, and the product. The factors in the multiplication problem 6 x 9 = 54 are the numbers 6 and 9, and the product is the number 54.
Multiplication in action or in progress. The multiplication of 8 and 3 is the same as the sum of 8+8+8, which is a mathematical operation that takes two numbers and returns an answer that is equal to the sum of a column in which one of the numbers is repeated the amount of times of the other number.
Given Data
they travel 238 miles a day for 13 days
1 day = 238 miles
13 days = 238 (13)
13 days = 1904
In 13 days they will travel 1904 miles altogether.
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Mike says the opposite of 5 is –5 and the absolute value of 5 is –5. Is he correct?
Use the drop-down menus to explain your answer.
Mike
Choose...
correct.
Choose...
combine to make zero.
Choose...
is the distance from zero.
Answer:
Mike is not correct.
Step-by-step explanation:
The opposite of 5 is in fact -5, but the absolute value of 5 is not -5. The absolute value of 5 is 5.
(x-5)^2/8+(y+1)^2/32=1
Solve for the four vertices
Answer:
i Used the standard form to find the vertices.
Vertex
1: (5,−1+4√2)
Vertex
2: (5,−1−4√2)
Step-by-step explanation:
Rounded to the nearest hundreth. This one is 2 answers.
your flight has been delayed: at denver international airport, 83% of recent flights have arrived on time. a sample of 14 flights is studied. round the probabilities to four decimal places.
1.0000 percent is the probability that all 12 flights will arrive on time.
What is probability?Simply put, the probability is the likelihood that something will occur.When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution. Probability of an event P(E) = (Number of favorable outcomes)÷ (Sample space).So, the problem meets all requirements for a binomial experiment, written as:
[tex]P(X=x)\left(\begin{array}{l}n \\x\end{array}\right) p^x(1-p)^{n-x}[/tex]
Now, p=0.85 and n=14, the probability that precisely 14 people arrived on time are calculated as follows:
[tex]\begin{aligned}&P(X \geq 1)=1-P(X=0) \\&=1-\left(\begin{array}{c}12 \\0\end{array}\right) 0.85^0(1-0.85)^{12} \\&=1-1.297 \times 10^{-10} \\&=1.0000\end{aligned}[/tex]
Therefore, 1.0000 percent is the probability that all 12 flights will arrive on time.
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The complete question is given below;
Your flight has been delayed: At Denver International Airport, 85% of recent flights have arrived on time. A sample of 14 flights is studied. Round the probabilities to at least four decimal places. Find the probability that all 12 of the flights were on time.
A daycare center in Hillsdale currently has 12 assistant caregivers and 6 senior caregivers. Since demand is high, the owner is going to be hiring 1 assistant caregiver per month and 4 senior caregivers per month. Her goal is to have a larger staff, including an equal number of assistant caregivers and senior caregivers. How many of each type will there be? How long will that take?
1. Month for assistance caregivers is 14 months.
Month for senior caregivers will be 14 months.
2. After 2 month, there will be 14 of each types of caregiver.
What is an expression?
Expression in math is defined as the collection of the number, variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that;
A daycare center in Hillsdale currently has 12 assistant caregivers and 6 senior caregivers.
On high demand the owner is going to be hiring 1 assistant caregiver per month and 4 senior caregivers per month.
Let m is number of months.
Then, Each month has 12+ m for assistant caregivers and 6 + 4m for senior caregivers.
By given condition we formulate;
12 + m = 6 + 4m
12 - 6 = 4m - m
6 = 3m
3m = 6
m = 2
Thus, 12 + m = 12 + 2 = 14
And, 6 + 4m = 6 + 4 x 2 = 14
So, After 2 month, there will be 14 of each types of caregiver.
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£12000 borrowed for 17 months at a rate of 12.5% p.a.
Answer:
1062.50
Step-by-step explanation:
Interest = PRT / 100.
= 12000 × 12.5 × 17 /100 × 24
= 1062.50
express 30cm,1.5 as a percentage of second
The correct answer is 20%
We know,
1 m = 100 cm
thus 1.5 m will be 150 cm (1.5 x 100 = 150cm)
now, to find 30 cm as a percentage :
(30/150) x 100
=20 %
Thus, 30cm 1.5 can be expressed, as 20%.
What do you understand by percentage?
percentage- "a relative value indicating hundredth parts of any quantity." Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.
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