The maximum displacement of the tuning fork is 0.4 mm
What is a tuning Fork ?A tuning fork is a acoustic resonator , It is used to tune musical Instruments.
It is given in the question that the
displacement, d, in millimeters of a tuning fork as a function of time, t, in seconds can be modeled with the equation d = 0.4 sine (1760 pi t).
the maximum displacement of the tuning fork = ?
The equation for a sine function is given by
f(t) = A sin(Bt + C) + D
here A is the maximum Displacement
When this equation is compared with the given equation
d = 0.4 sine (1760 pi t).
A = 0.4
The maximum displacement of the tuning fork is 0.4 mm
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What is the value of x?
how many whole weeks are in a year
Answer:
52 weeks are there in a year
Step-by-step explanation:
365/7
Danny attempted to complete a 500 piece puzzle. By the end of the night, he places p pieces in the puzzle correctly, which expression shows how many more pieces he needs to add to the puzzle to complete it
The expression that shows how many more pieces he needs to add to the puzzle to complete it is 500 - p
How to determine the expression?The given parameters are:
Total = 500
Correct = p
The remaining piece is calculated using:
Total =Correct + Remaining
Substitute known values
p + Remaining = 500
Subtract p from both sides
Remaining = 500 - p
Hence, the expression is 500 - p
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annie has some sweets. teddy gives her some sweets and she now has 50% more . rosie gives her some sweets and she now has an extra 40% . annie now has 63 sweets. how many did she have originally
Using proportions, considering the amount she received from each person, it is found that Annie had 30 sweets originally.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, we have that:
Initially, she had n sweets.With the ones she got from Teddy, the amount became 1.5n.With the amount from Rosie, the amount became 1.4 x 1.5 x n.The final amount was of 63, hence:
1.4 x 1.5 x n = 63
n = 63/(1.4 x 1.5)
n = 30.
Annie had 30 sweets originally.
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A cube has side length 3 inches. A sphere has a radius of
3 inches. (Lesson 5-16)
a. Before doing any calculations, predict which solid has greater surface
area to volume ratio.
b. Calculate the surface area, volume, and surface area to volume ratio for
each solid.
I predict that the solid with the greater surface area to volume ratio would be the cube.
The volume of the cube is 27in³
The surface area of the cube is
The ratio of surface area to volume for the cube is 2.
The volume of the sphere is 113.14 in³
The surface area of the sphere is 113.14 in²
The ratio of surface area to volume is 1.
What is the surface area and volume of each solid?The volume of a cube = side length³
3³ = 27 in³
The surface area of a cube = 6a²
a = side length
6 x (3²) = 54 inches²
Ratio of surface area to volume = 54 / 27 = 2
The volume of the sphere= 4/3πr³
4/3 x 22/7 x 3³ = 113.14 in³
The surface area of the sphere = 4πr²
4 x 22/7 x 3² = 113.14 in²
Ratio of surface area to volume = 113.14 / 113.14 = 1
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30 divided by 5 - 2 + 7 = 3
Then , write down the correct equation.
Answer:
30 : (5 - 2 + 7) = 3Step-by-step explanation:
30 divided by 5 - 2 + 7 = 3
Then , write down the correct equation.
30 : (5 - 2 + 7) = 3
30 : (3 + 7) = 3
30 : 10 = 3
3 = 3
A beverage company produces cans of lemonade. According to the label a can contains a volume of 375mL of lemonade. A consumer group tested this claim by measuring the volume of lemonade in 2,500 cans. They found that the volume was normally distributed with a standard deviation of 5mL and a mean of 372mL.
If a can is chosen at random, find:
P (its volume is ≥382mL)
The probability that the volume of a can chosen at random is ≥382 is 0.47725
Normal distribution probabilityProbability is the likelihood or chance that an event will occur. For the given question, we need to calculate the z value as shown;
[tex]z=\dfrac{x-\mu}{\sigma}[/tex]
Given the following parameters
[tex]x=382mL\\\mu (mean)=372mL\\\sigma(S.D)=5mL[/tex]
Substitute
[tex]z=\dfrac{382-372}{5} \\z=\dfrac{10}{5}\\ z=2[/tex]
In order to calculate the probability that the volume of a can chosen at random is ≥382, we will look for (z≥2)
z≥2 according to probability table is equivalent to 0.47725
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Solve for all values of y in simplest form.
21 = |7y|
Answer: y =
Submit Answer
Find the area of each triangle. Round to the nearest tenth.
Answer:
A ≈ 9.6 units²
Step-by-step explanation:
the area (A) of the triangle is calculated as
A = product of 2 sides × sin (angle between them ) , that is
A = 3 × 5 × sin40° = 15 × sin40° ≈ 9.6 units² ( to the nearest tenth )
Which of the following shows how to calculate the probability of randomly selecting a cat or dog?
P(cat) + P(dog)
P(cat) − P(dog)
P(cat) · P(dog)
P(cat) ÷ P(dog)
The probability of randomly selecting a cat or dog is P(cat or dog) = P(cat) + P(dog)
Since we cannot select a cat and dog at the same time, their probabilities are mutually exclusive
Probability of mutually exclusive eventsIf we have events a and b which are mutually exclusive with probabilities P(a) and P(b) respectively, the probability of a or b is P(a or b) = P(a) + P(b)
Probability of randomly selecting a cat or dog
Let
P(cat) = probability of selecting a cat and P(dog) = probability of selecting a dogSo, probability of randomly selecting a cat or dog is
P(cat or dog) = P(cat) + P(dog)
So, probability of randomly selecting a cat or dog is P(cat or dog) = P(cat) + P(dog)
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Which of the following best describes the graph shown below?
A. This is not the graph of a function.
B. This is the graph of a one-to-one function.
C. This is the graph of a function, but it is not one-to-one.
D. This is the graph of a linear function.
Answer: the answer is C
Step-by-step explanation:
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to describe the graph shown in the attached picture.
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
Please see below! ^^
Is the graph a function?[tex]\boxed{\mathrm{Yes}}[/tex] ⇒ It passes the Vertical Line Test (Draw a vertical line through the graph; if the line touches the graph once (only once), then the graph is a function.
[tex]\boxed{\mathrm{No}}[/tex] ⇒ It doesn't pass the Vertical line test. The line touches the graph more than once.
[tex]\underline{\rule{50}{1}}[/tex]
Since the line touches the graph only once, this graph is a function, and Option A. is not right; we can cross it out.
One down, three to go! ^^
Is the graph a one-to-one function?[tex]\boxed{\mathrm{Yes}}[/tex] ⇒ It passes the horizontal line test; it touches the graph only once.
[tex]\boxed{\mathrm{No}}[/tex] ⇒ It doesn't pass the test; the line touches the graph
[tex]\underline{\rule{50}{1}}[/tex]
Since a horizontal line touches the graph more than once, this function is not one-to-one.
Option B. isn't right either.
Two down, two to go! ^^
However, look what Option C. is. The graph we're given is indeed a function, and it's not one-to-one.
So I choose Option C.
Let's ensure our answer is correct by checking the last option:
Is the graph a linear function?[tex]\boxed{\mathrm{Yes}}[/tex] ⇒ Its graph is a straight line.
[tex]\boxed{\mathrm{No}}[/tex] ⇒ Its graph isn't a straight line.
[tex]\underline{\rule{50}{1}}[/tex]
As we can see, the given graph is not a staight line; thus, Option D. is also wrong.
Thus, Option C. is the correct answer.
Hope it helps you out! :)
Ask in comments if any queries arise.
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Question 10 solve for me please
Answer: D.
Step-by-step explanation:
x + 3 > 2 Original equation
x > -1 Subtract 3 on both sides
Number line that has an open circle and on -1 that goes right = D.
The coordinates (1, 1), (1, 3), (3, 3), and (x, y) form a square when graphed on a coordinate plane. Which ordered pair would be the fourth vertex of the square? A (3, 1) B (1,3) C (3,5) D (3, 0
)
Answer:
3,1
....................................
Alison is buying binders for school. Small binders cost $3 each, and large binders cost $5 each. If Alison needs to buy at least 12 binders and has no more than $45 to spend, what is the maximum number of large binders she can buy?
a. 4
b 5
c 8
d 9
Answer:
9
Step-by-step explanation:
Answer:
4 large folders ( and 8 small folders....with $ 1 left over)
Step-by-step explanation:
x = small y = large folders
x+y >= 12 x >= 12-y
3x + 5y <= 45
3 (12-y) + 5y <=45
36 -3y + 5y <= 45
y <= 4.5 you cannot buy .5 of a large folder, so 4 large folders
Any ideas for solving this beast
Answer:
option c
Step-by-step explanation:
1.1 How many grams of can of apple pie filling Chantel is going to use in the Apple (2) Cinnamon Cake.
The number of grams of canned apple that Chantel needs for her apple-cinnamon cake is about 1400 grams.
How to calculate the amount of canned apple that Chantel needs?To know the amount of canned apple that Chantel needs for her apple and cinnamon cake recipe, we must review the amount of apple that she needs for the filling of her cake.
According to the basic recipe to make this cake, we need 6 to 8 apples. Taking into account that each apple weighs about 200g, we can infer that Chantel is going to use about 1400g of canned apple as shown below.
On average we need 7 apples.
6 + 8 = 1414 ÷ 2 = 7Each apple weighs 200g, so 7 apples would be 1400g.
7 × 200g = 1400gBased on the above, Chantel needs 1400g of canned apple.
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Jenny wants to start an after-school club, so she decides to survey the student body to determine which club would be the most popular: French Club, Architecture Club, or Anime Club. She decides (with Mrs. Howell's permission) to survey the first 25 students who show up to her class one day.
Does her survey comprise an accurate representation of the Reach student body? Why or why not?
Answer:
no because it just reaches one class, not the student body
Step-by-step explanation:
I’m struggling to answer this can someone please help me I would highly appreciate it
Answer:
Not similar
Step-by-step explanation:
If you have scratch paper, its best to label the angles and sides given. You can also rotate the orientation of one of the triangles if that helps visually.
First lets look at the sides.
Notice the common factor between side AB and side XY.
14/7=2
Notice the common factor between side AC and side XZ.
22/11=2
So far so good right? Well, IF these triangles are similar, that means that angle X must correspond to angle A. Since corresponding angles of similar triangles are equal to each other, lets check of angle X is equal to angle A.
Angle X = 29 degrees
Angle A = 28 degrees
28 does not equal 29 degrees. Therefore, the triangles are not similar. If angles X and A were equal, than the triangles would have been similar due to the Side-Angle-Side rule (SAS).
Find the 24th term of the sequence:
11, 16, 21, . . .
Answer:
126
Step-by-step explanation:
The difference between the first two terms of this sequence is 5 (16 - 11 = 5). The difference between the second and third terms of this sequence is also 5 (21 - 16 = 5).
So, we can assume that the difference between each term in this sequence is 5. To get from the first term (11) to the second term (16) we had to add 5 once. (or, add 5 x 1 [time])
To get from the first term (11) to third (21), we had to add 5 twice
(or, add 5 x2)
*repeated addition, such as 5+5+5 is the same thing as multiplication. If we are adding 5 three times, we will get the same outcome as 5 x 3.
So, to get from the first term (11) to the 24th term, we will have to add 5 23 times, or 5 x 23
5 x 23 = 115
11 + 115 = 126
Making 126 the 24th term of the sequence
find the slope of the line
x-intercept is twice as y-intercept
Answer:
-1/2
Step-by-step explanation:
It mentions that the x-intercept is equal to twice the y-intercept.
=============================================================
Let :
⇒ x-intercept = (2a, 0)
⇒ y-intercept = (0, a)
==============================================================
Slope formula :
m = y₂ - y₁ / x₂ - x₁
=============================================================
Solving :
⇒ m = a - 0 / 0 - 2a
⇒ m = a / -2a
⇒ m = -1/2
Karen needs to make a total of 60 deliveries this week. So far she has completed 33 of them What percentage of her total deliveries has Karen completed?
Answer:
55%
Step-by-step explanation:
(33/60) * 100
leave a comment if u need further explanation
If set A contains four distinct numbers and set B contains seven distinct letters, how many elements are in (A U B)?
There are 11 elements are in (A U B)
How to determine the number of elements?The given parameters are:
n(A) = 4
n(B) = 7
The number of elements in (A U B) is calculated using:
n(A U B) = n(A) +n(B) - n(A U B)
Given that the sets have distincts elements, we have:
n(A U B) = 4 + 7 - 0
Evaluate
n(A U B) = 11
Hence, there are 11 elements are in (A U B)
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Answer: There are 11 elements are in (A U B)
Step-by-step explanation:
What is the answer to (2 * 6)^3/2?
Answer:
864
Step-by-step explanation:
First, you multiply 2 and 6, so it's 12, and multiply it by 144, so it's 1728, and divide it by 2. Therefore, it's 864!
Maria's car has a gas mileage of 31 miles per gallon. How many miles can Maria travel on 9 gallons of gas?
Answer:
279 miles
Step-by-step explanation:
31 miles/gal * 9 gallons = 279 miles
please help it says to choose one or more!
Answer:
it's A And CStep-by-step explanation:
Always remember:beluga always love answer your question by following these steps:Follow belugaask meBrainliest me first oktake note please: everyone i answer question I got happy:)please don't delete Your question beacause Brainliest Marks & pointswill be loseAnswer: it’s A and C (45 ft and 37 ft) I think
Help please
1.In ∆ABC, how many triangles are formed given: a=10 cm, b=18 cm, c=105°?
A. 1
B. 2
C. 3
D. None
2. In ∆ABC, if <A is obtuse and a<c, then how many triangle/s can be formed?
A. 1
B.2
C. 3
D. None
For questions 1 and 2 options, A and D are correct respectively.
What is the triangle?A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.
1. In ∆ABC,
a=10 cm, b=18 cm, c=∠105°
For the given data only one triangle is formed. Option A is correct.
2. In ∆ABC, if <A is obtuse and a<c,
An obtuse angle is an angle more than the 90°.The given condition is wrong. None of the triangle is formed from the given options.
Hence for questions 1 and 2 options A and D are correct respectively.
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Which angle in the figure is a right angle?
A. ∠STU
B. ∠TSR
C. ∠TUS
D. I don't know.
Answer:
∠TUS I'm pretty sure because t and u make a right angle
Is the distribution of all values of the statistic when all possible samples of the same size n are taken from the same population.
The distribution of the values obtained from a simple random sample of size n from the same population is incorrect.
What is sampling distribution?The sampling distribution of a statistic of size n is the distribution of the values obtained from a simple random sample of size n from the same population.
The sampling distribution is the process of getting a sample through simple random techniques from the sample population.
So, it is incorrect that the distribution of all values of the statistic when all possible samples of the same size n are taken from the same population.
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function or not a function?
Answer:
function
Step-by-step explanation:
no repeated domain means its a function
someone help please
Answer:
I think 40.
Step-by-step explanation: