I NEED HELP! BRAINLEST!

The auditory canal would resonate at approximately 7154.17 Hz and 14304.35 Hz for the first two harmonics. The corresponding sound wavelengths would be approximately 0.048 m and 0.024 m for the fundamental frequency and second harmonic, respectively.

To determine the resonant frequencies of the auditory canal in its first two harmonics, we can use the formula for the resonant frequencies of a closed-end cylindrical tube:

f = (n * c) / (2L)

Where:

f = resonant frequency

n = harmonic number (1 for the fundamental frequency, 2 for the second harmonic, and so on)

c = speed of sound in air (approximately 343 m/s at room temperature)

L = length of the auditory canal (2.4 cm = 0.024 m)

A. Resonant frequencies in the first two harmonics:

For the fundamental frequency (n = 1):

f₁ = (1 * 343) / (2 * 0.024) ≈ 7154.17 Hz

For the second harmonic (n = 2):

f₂ = (2 * 343) / (2 * 0.024) ≈ 14304.35 Hz

B. Corresponding sound wavelengths in part A:

The wavelength of a sound wave can be determined using the formula:

λ = c / f

For the fundamental frequency (n = 1):

λ₁ = 343 / 7154.17 ≈ 0.048 m (or 4.8 cm)

For the second harmonic (n = 2):

λ₂ = 343 / 14304.35 ≈ 0.024 m (or 2.4 cm)

Therefore, the auditory canal would resonate at approximately 7154.17 Hz and 14304.35 Hz for the first two harmonics. The corresponding sound wavelengths would be approximately 0.048 m and 0.024 m for the fundamental frequency and second harmonic, respectively.

Learn more about second here:

https://brainly.com/question/25336638

#SPJ11

The summation notation calculator is a instrument is frequently referred to as a sigma notation calculator since it makes it simple to calculate the sum of a set of integers, also known as Sigma.

The consecutive addition of a group of numbers is known as a summation. One of the four fundamental arithmetic operations, along with subtraction, multiplication, and division, is addition. For a few numbers, particularly integers, it is easy to do, but with fractions and real numbers, it can be more difficult. This is where our summation calculator might be useful. The numbers can be manually entered or copied and pasted, separated by any non-numerical sign, with the exception of the minus and dot. There are shortcuts for computing the sums of particular sequences.

The lower and upper bounds, a mathematical formula to be used to compute each member of the sum series, and lastly the name of the variable to be used in the sigma expression must all be entered in the "Sigma notation" mode.

Learn more about Summation notation:

https://brainly.com/question/15973233

#SPJ4

The maximum time that can be spent packing PDAs and still be profitable is 5 hours.

The maximum time that can be spent packing PDAs and still be profitable will depend on a variety of factors, such as the cost of producing the PDAs, the cost of labor for packing, and the selling price of the PDAs. In order to determine the maximum time that can be spent packing and still be profitable, you would need to consider these factors and calculate the break-even point, which is where the total cost of production equals the total revenue from sales.

For example, if the cost of producing one PDA is $50, the cost of labor for packing is $10 per hour, and the selling price of the PDA is $100, then the break-even point would be at 5 hours of packing time. This means that the maximum time that could be spent packing the PDAs and still be profitable would be 5 hours.

In general, the maximum time that can be spent packing and still be profitable will be determined by the formula:

Maximum time = (Selling price - Cost of production) / Cost of labor for packing

So, in this case:

Maximum time = ($100 - $50) / $10 = 5 hours

Therefore, the maximum time that can be spent packing PDAs and still be profitable is 5 hours.

Learn more about PDAs

brainly.com/question/29312944

#SPJ11

Answer:

a=90

c=40

b=70

Step-by-step explanation:

a is right angle so 90

c is 160-90-30=40

b is 150-80=70

Answer:

l = 194999.45

Step-by-step explanation:

I'm going to assume that you meant 3.14 by 3,14.

336,765 = 3.14 × 0.55 × (l + 0.55)

336,765 ÷ (3.14 × 0.55) = l + 0.55

(336,765 ÷ (3.14 × 0.55)) - 0.55 = l

l = 194999.45

Answer:

20 days

Step-by-step explanation:

To find the total time, we will just add up the days.

4 + 3 + 6 + 7 = 20 days.

Answer:

  (d)  not possible to tell from information given

Step-by-step explanation:

You want to know the total completion time for a project with four activities that take 4, 3, 6, and 7 days.

The project completion time will be determined by the dependencies between activities.

If each activity must be completed before the next, then the total time will be 4+3+6+7 = 20 days.

If there are no dependencies and all activities can be done in parallel, then the total completion time is 7 days, the time required for the longest activity.

In short, it is not possible to determine the total time from the information given.

The tape diagram is:

Then we have that x times x equals to 35

What number multiplied 5 times is 35? The answer is 7

The answer to two is 7

We have the equation:

this means, that x is a number that multiplied by 5 is equal to 35. We can then divide both sides by 5:

By the multiplication table, we know that 5 *7 = 35. Thus:

The answer is x = 7

The dogs barks sounded like thunder

Answer:

As sly as a fox.

As quiet as a mouse.

Step-by-step explanation

Does that work¿

Answer: 0.49 hours

Step-by-step explanation:

Luke takes 6 minutes to hike an average of 1 mile.

He decides to camp ay a point that is 4.9 miles away.

The amount of time it will take him to get to the place is:

= 4.9 * 6

= 29.4 minutes

In hours this is:

= 29.4 / 60 minutes

= 0.49 hours

Answer:0.49 hours

Step-by-step explanation:

= 4.9 * 6

= 29.4 minutes

In hours this is:

= 29.4 / 60 minutes

= 0.49 hours

The base, lateral area and surface area is B = 96 cm², L = 499.2 cm²,S = 691.2 cm²

The lateral area for the triangular prism is the sum of all three areas. Thus, the formula for lateral area of triangular prism, Lateral surface area of triangular prism (LSA) = ah + bh + ch (or) (a + b + c) h.

To find the lateral area (L) of this solid, we need to calculate the area of the four rectangles that make up the sides of the solid. Since each rectangle has a height of 10.4 cm and a width of 12 cm, the area of one rectangle is:

A = 10.4 cm * 12 cm = 124.8 cm²

Since there are four rectangles, the total lateral area is:

L = 4 * A = 4 * 124.8 cm² = 499.2 cm²

To find the surface area (S) of the solid, we need to add the lateral area to the area of the two circular bases. The base area is given as 96 cm², so the area of both bases is:

A = 2 * 96 cm² = 192 cm²

Therefore, the total surface area is:

S = L + A = 499.2 cm² + 192 cm² = 691.2 cm²

Rounding to the nearest tenth, we have:

B = 96 cm²

L = 499.2 cm²

S = 691.2 cm²

Learn more about triangular prism  here

https://brainly.com/question/16909441

#SPJ1

Answer:

\(f(x)=-x^2 + 11x - 24\)

Step-by-step explanation:

Well for this problem, you want to start off by writing it in factored form.

In factored form, you can represent a quadratic as: \(f(x)=a(x-b)(x-c)\), where x=b, and x=c are zeroes of the function, since plugging them into the function makes one of the factors zero, and multiplying zero by the other factors will just give you zero.

The "a" in front of the two factors generally defines the stretch/compression of the function.

So let's start by plugging in the zeroes into the function, and then we can solve for "a" later: \(f(x) = a(x-3)(x-8)\)

Now let's use one point on the graph, which is not a root/zero to solve for "a". It's important to not use a zero/root since if we use that point the entire thing will be zero regardless of the value of "a"

Luckily we have one point provided that is not a zero and is: (4, 4)

So let's plug it in: \(4=a(4-3)(4-8)\\4=a(1)(-4)\\4=-4a\\a=-1\)

So now let's plug this into the factored form to get: \(f(x)=-(x-3)(x-8)\)

using foil to multiply these two factors you get: -[x^2 -8x - 3x + 24]

Now combine like terms

-[x^2 - 11x + 24]

distribute the negative sign

-x^2 + 11x - 24

\( \large \bf \implies{y = { - x}^{2} + 11x - 24}\)

Let standard form of quadratic equation be

If passes through (3,0) , (8,0) and (4,4)

When you multiply or divide a number by 0 you will get 0 as the answer. Example: 34×0=0 and 34÷0=0.

The given decimal number is 8314.12.

Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.

2) In the given decimal number 8314.12,

8 is in thousands place, 3 is in hundreds place, 1 in tens place, 4 in ones place, after decimal 1 in tenths place and 2 in hundredths place.

3) When you multiply or divide a number by 1 you will get the same number.

Example: 34×1=34 and 34÷1=34

4) When you multiply or divide a number by 0 you will get 0 as the answer.

Example: 34×0=0 and 34÷0=0

5) 49÷7=7 because 7×7=49

60÷10=6 because 10×6=60

48÷12=4 because 12×4=48

63÷9=7 because 9×7=63

32÷4=8 because 4×8=32

Therefore, when you multiply or divide a number by 0 you will get 0 as the answer. Example: 34×0=0 and 34÷0=0.

To learn more about the place value visit:

https://brainly.com/question/21467438.

#SPJ1

Answer:

option A

Step-by-step explanation:

the answer is a because it says triangle PGR and DEF are similar. The congruent sides are in order so side PG is equal to DE or 4/6

have a great day :D

Answer:

It's A.

Step-by-step explanation:

I got it right

Answer:

118

Step-by-step explanation:

because it says: if m < 11 = *118*

Answer:

∠ IAC = 98°

Step-by-step explanation:

The sum of the exterior angle = 360°

∠ HCB = 180° - 46° = 134° ( adjacent angles )

Thus

∠ IAC + 128° + 134° = 360°, that is

∠ IAC + 262° = 360° ( subtract 262° from both sides )

∠ IAC = 98°

Answer:

<IAC=°98

Step-by-step explanation:

<DHA + CHA = 180 SUPPLEMENTARY ANGLE

128 +CHA=180

<CHA=52

<CHA + <HAC+<ACH=180 b/c it is triangle

46 +52+HAC= 180

<HAC= 180-98

<HAC= 82

<HAC + <IAC= 180. Supplementary angle

82+<IAC=180

<IAC=180-82

<IAC=98

We can write the coordinates of the vertices of the triangle after dilation by a scale factor as -

C'(9, 6)

B'(0, 12)

A'(12, 12)

Dilation is the enlargement or shrinking of the coordinates.

Given is a triangle as shown in the image.

The coordinates of the vertices of the triangle are -

C(3, 2)

B(0, 4)

A(4, 4)

For the dilation by a scale factor of {K} = 3, we can write -

C'(3 x 3, 2 x 3) = C'(9, 6)

B'(0 x 3, 4 x 3) = B'(0, 12)

A'(4 x 3, 4 x 3) = A'(12, 12)

Therefore, we can write the coordinates of the vertices of the triangle after dilation by a scale factor as -

C'(9, 6)

B'(0, 12)

A'(12, 12)

To solve more questions on dilations, visit the link below -

https://brainly.com/question/30215119

#SPJ2

After converting \(4.5 * 10^4\) to decimal format, one gets 45,000 as an answer. Thus, option (A) is the correct answer.

To convert numbers multiplied by 10 with having an exponent number to decimal format, one first needs to check the sign on the exponent.

If the sign is positive, we must shift the decimal to the right with each power of 10. The exponent indicates the number of zeros added after the number in case no decimal is used.

And if the sign is negative, we have to shift the decimal to the left with each power of 10. One has to divide the number by the number one gets after multiplying 10 by itself as many times as the exponent.

Therefore, to convert \(4.5 * 10^4\) to decimal format, we shift the decimal by 4 places and we get 45,000 as the answer.

Learn more about Decimals:

https://brainly.com/question/28393353

#SPJ4

Using it's concept, the probability that a student liking music given they already like art is of 10/17 = 0.5882 = 58.82%.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, from the Venn Diagram, there are 17 students who like art, and of those, 10 like music, hence the probability is given by:

10/17 = 0.5882 = 58.82%.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

Answer: 161

[3×2^5+13×(−2)]+7[8−(4−9)]

Calculate 2 to the power of 5 and get 32.

3×32+13(−2)+7(8−(4−9))

Multiply 3 and 32 to get 96.

96+13(−2)+7(8−(4−9))

Multiply 13 and −2 to get −26.

96−26+7(8−(4−9))

Subtract 26 from 96 to get 70.

70+7(8−(4−9))

Subtract 9 from 4 to get −5.

70+7(8−(−5))

The opposite of −5 is 5.

70+7(8+5)

Add 8 and 5 to get 13.

70+7×13

Multiply 7 and 13 to get 91.

70+91

Add 70 and 91 to get 161.

161

Answer:

Step-by-step explanation:

Use PEDMAS

[3 *2⁵ + 13*(-2) ] + 7[8-(4-9) ] = [3*2⁵ + 13*(-2)] +7[ 8 - (-5) ]  

{calulate the inner most parentesis (4- 9 = -5)}

                                             = [3*32 + 13*(-2) ] + 7* [ 8+5]

{Find the exponent 2⁵ = 32}

                                              = [ 96 + (-26) ] + 7* 13

{Here 3 & 32 aree multiplied & 13 and (-2) are multiplied and  8 is added to 5}

                                               = 70 + 91

                                              = 161

By using the concept of probability, it can be calculated that

a)  P(X \(\leq\) 1) = 0.25

b) P(0.5 \(\leq\) X \(\leq\) 1)  = 0.1875

c) P(X > 1.5) = 0.4375

d) Median = 1.414

e) F'(X) = 0.5x , 0 \(\leq\) x \(\leq\) 2

           0, otherwise

f) E(X) = 1.33

g) V(X) = 0.2311, SD(X) = 0.4807

h)  E(h(X)) = 2

What is probability?

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probability of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

The cdf is

f(x) = \(\left \{ {\frac{x^2}{4}},{ 0 \leq x \leq 2} \atop {1, x=2}} \right.\)

Now,

a) P(X \(\leq\) 1) = \(\frac{1^2}{4} = 0.25\)

b) P(0.5 \(\leq\) X \(\leq\) 1)

= \(\frac{1^2}{4} - \frac{0.5^2}{4}\\\\\frac{3}{16}\\\\0.1875\)

c) P(X > 1.5) = 1 - P(X \(\leq\) 1.5)

                      \(1 - \frac{1.5^2}{4}\)

                       0.4375

d) Let \(\mu\) be the median

P(x \(\leq \mu\)) = 0.5

\(\frac{\mu^2}{4} = 0.5\)

\(\mu^2 = 0.5 \times 4 =2\\\mu = \sqrt{2}\\\mu = 1.414\)

e) F'(x) =

\(\frac{2x}{4}, 0 \leq x \leq 2\\0, otherwise\)

F'(X) = 0.5x , 0 \(\leq\) x \(\leq\) 2

           0, otherwise

f) E(x) =

\(\int_0^2 x \times 0.5 xdx\\=0.5 \times \frac{x^3}{3} |_0^2 \\=0.5 \times \frac{2^3}{3}\\=\frac{4}{3}\\=1.33\)

g) V(X) = E(\(X^2\)) -\((E(X))^2\)

    E(X^2) =

                   \(\int_0^2x^2(0.5x)dx \\0.5 \times \frac{x^4}{4}|_0^2\\2\)

\(V(X) = 2 - (1.33)^2\)

V(X) = 0.2311

SD(X) = \(\sqrt{0.2311} = 0.4807\)

h) h(X) = \(X^2\)

   E(h(X)) = \(\int_0^2X^2({0.5X)dx\)

               = \(0.5 \frac{x^4}{4}|_0^2\)

               = \(0.5 \times \frac{2^4}{4}\)

               = 2

To learn more about probability, refer to the link-

https://brainly.com/question/25870256

#SPJ4

yesStep-by-step explanation:

The slope of line ST is 4

The formula for determining the slope of a line is expressed as;

Slope = y2 - y1/x2 - x1

It is mostly represented with 'm' and it also known as the gradient of a line.

From the points given , we have that;

Substitute the values into the formula

Slope, m = -4 - 0/ -1 - 0

Slope, m = -4/ -1

Slope, m = 4

Thus, the slope of line ST is 4

Learn more about slope here:

https://brainly.com/question/3493733

#SPJ1

Answer:

7 people sharing 2 bags

Step-by-step explanation:

Step 1:

5/3 = 10/6

Step 2:

7/2 = 21/6

Answer:

7 people sharing 2 bags

Hope This Helps :)

To guarantee having at least 3 animals of the same type, you would need to adopt a total of 5 animals.

In the worst-case scenario, you would first adopt 2 cats and 2 dogs. By adopting a 5th animal, you would then have at least 3 animals of the same type, either 3 cats and 2 dogs, or 3 dogs and 2 cats. This is due to the Pigeonhole Principle, which states that if you have n categories and n+1 items, at least one category will contain more than one item.

In order to guarantee having at least 3 cats, you would need to adopt a total of 13 animals. This is because, in the worst-case scenario, you could first adopt all 10 dogs, followed by 3 cats. After adopting 13 animals, you would be certain to have at least 3 cats, as you would have exhausted the entire population of dogs in the shelter.

To learn more about Pigeonhole Principle click here

brainly.com/question/24491336

#SPJ11

Answer:

Please find attached the graph of the following function;

\(\left\{\begin{matrix}x - 1 & if & -2 \leq x < 0\\ 1 & if & x = 0 \\ 3 & if & 0 < x \leq 2\end{matrix}\right.\)

Step-by-step explanation:

We note that the function is linear from x = 2 to just before x = 0

The linear relationship of the function f(x) with x changes just before x = 0

At x = 0, the value of f(x) is indicated as 1

From just after x = 0, the function is a straight horizontal line y = 3

The function also changes value immediately after x = 0 to the line y = 3

The areas where the function is defined are shown in continuous lines

Answer:

its 12 to 12

Step-by-step explanation:

its 12 to 12 because there is 12 blue shirts and the total is 12

Answer:

Tyrese's blue shirt is =12

Total shirts= 8+12+4 =24

12/24 =1:2

You can weigh 4 marbles against each other first, then if none are heavier, weigh 3 of the remaining marbles against each other, and if none of those are heavier, weigh the last two marbles against each other to find the heavier one.

An object's power of attraction toward the Earth is measured by its weight. It is the result of multiplying the object's mass by the acceleration caused by gravity.

A scale or balance is a tool used to determine mass or weight. These are also referred to as weight scales, mass scales, weight balances, and mass balances.

To weigh the 12 marbles and find out the heavier one,

This solution will always work because at each step, you are halving the number of marbles you need to check, so you will always be able to find the heavier marble in 3 weighings or less.

To learn more about weights visit:

https://brainly.com/question/10069252

#SPJ4