Suppose that a y varies inversely with x2 and when x=4, y=8 what is y when x=11? (round-off to 3 decimal places) Your Answer: Answer

The given differential equation is y" + (wo)²y = cos(wt), where w² ≠ (wo)². Using C₁, C₂, for the constants of integration. y(t): = [1 / ((wo)² - w²)] * cos(wt).

To identify the general solution of this differential equation, we can start by assuming that the solution has the form y(t) = A*cos(wt) + B*sin(wt), where A and B are constants to be determined. Differentiating y(t) twice, we get

y'(t) = -Aw*sin(wt) + Bw*cos(wt) and y''(t) = -A*w²*cos(wt) - B*w²*sin(wt).

Substituting these derivatives into the differential equation, we have:
-A*w²*cos(wt) - B*w²*sin(wt) + (wo)²(A*cos(wt) + B*sin(wt)) = cos(wt).
Now, let's group the terms with cos(wt) and sin(wt) separately:
[(-A*w² + (wo)²*A)*cos(wt)] + [(-B*w² + (wo)²*B)*sin(wt)] = cos(wt).

Since the left side and right side of the equation have the same function (cos(wt)), we can equate the coefficients of cos(wt) on both sides and the coefficients of sin(wt) on both sides.

This gives us two equations:
-A*w² + (wo)²*A = 1 (coefficient of cos(wt))
-B*w² + (wo)²*B = 0 (coefficient of sin(wt)).
Solving these equations for A and B, we identify:
A = 1 / [(wo)² - w²]
B = 0.

Therefore, the general solution of the given differential equation is:
y(t) = [1 / ((wo)² - w²)] * cos(wt), where w ≠ ±wo.
In this solution, C₁, and C₂ are not needed because the particular solution is already included in the general solution. Please note that in this solution, we have assumed w ≠ ±wo. If w = ±wo, then the solution would be different and would involve terms with exponential functions.

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Answer:

Indian/Alaska Native

Step-by-step explanation:

Answer:

Caucasian or Asian, I don't knoww

Step-by-step explanation:

I got my answer by the power of guessing, im probably wrong lol

Answer:

1.5 inches po

Step-by-step explanation:

thanks me later

good luck!

Answer:

k = 52

Step-by-step explanation:

- 8 = \(\frac{k-4}{-6}\) ( multiply both sides by - 6 to clear the fraction )

48 = k - 4 ( add 4 to both sides )

52 = k

Answer: k=52

Step-by-step explanation:

-8= k-4/-6

multiply by -6

48=k-4

add 4 to both sides

k=52 :)

☁️ Answer ☁️

annyeonghaseyo bestie!

The answer is:

10x + 12

Hope it helps!

Have a nice day bestie! ￣▽￣❤️

Answer: Choice A)

Approximately 0.4 units or about 24 miles approximately

=========================================================

Explanation:

B = Santa Barbara's location

C = Santa Cruz Island's location

Point B is located at (34.4, 119.714)

Point C is located at (34, 119.726)

Use the distance formula to find the distance from B to C

\(d = \sqrt{ (x_1-x_2)^2 + (y_1-y_2)^2}\\\\d = \sqrt{ (34.4-34)^2 + (119.714-119.726)^2}\\\\d = \sqrt{0.160144 }\\\\d \approx 0.40017995951821\\\\d \approx 0.4\\\\\)

Unfortunately, there isn't enough info to be able to go from 0.4 units to roughly 24 miles, so I don't know how your teacher is doing that step. But luckily, only choice A mentions 0.4, so this has to be the answer.

Answer:

Unfortunately I was only able to solve the second question

Step-by-step explanation:

So sorry if I'm wrong but this is what I got:

Volume of a cylinder

V=πr^2h

V=π(4^2)(19)

V=955.04

Lateral S.A.

S.A.=2πrh

S.A.=2π(4)(19)

S.A.=477.52

Total S.A.

S.A.=2πrh+2πr^2

S.A.=2π(4)(19)+2π(4^2)

S.A.=578.05

The best answer regarding the effects of carbon monoxide is option c, CO results in less oxygen loading hemoglobin but unloading is not changed.

Carbon monoxide binds up more tightly to the hemoglobin as compared to the oxygen molecules. This reduces the oxygen-carrying capacity of the blood and results in less oxygen loading onto hemoglobin.

However, once oxygen is already bound to hemoglobin, CO does not significantly affect its release or unloading. Therefore, option c is the most accurate statement among the given choices.

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Answer:

4 minutes per lap

Step-by-step explanation:

20/5 is 4

the probability is 12/80=3/20=0.15, because the favorable cases are 12 yellow jellybeans and we divide it by the total cases which is 80 jellybeans.

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The sides marked on the triangle are adjacent to and opposite the given angle. The mnemonic SOH CAH TOA is intended to remind you which trig functions relate which sides. The one applicable here is TOA:

  Tan = Opposite/Adjacent

Using the values on the diagram, we have ...

  tan(65°) = 18/y

Multiplying by y/tan(65°) gives ...

  y = 18/tan(65°)

  y ≈ 8.3935 ≈ 8.4

Answer:

yes if decimals aren't included

Answer:

This is a function, it is not linear

Step-by-step explanation:

You know it's a function when the x values do not repeat like the image above and its not linear because the y values don't a have a pattern.

Answer:

the rule for rotating 90 degrees clockwise is (x,y) to (y,-x). (3,2) will turn into (2,-3)

Step-by-step explanation:

Answer:

24/x-8 = 4

Multiplying both the sides with x-8

24 = (x-8)*4

24 = 4x - 32

24 + 32 = 4x

56 = 4x

56/4 = X

14= X

The slope of the given lines are:

Graph 1 = 1/3

Graph 2 = -1/3

Graph 3 = 3

Graph 4 = -3

To find the slope (m) of a given line on a coordinate plane, choose any two points on the line, (x1, y1) and (x2, y2), then find the slope by plugging in the values of the coordinates into the formula below:

Slope of a line (m) = change in y / change in x = \(\frac{y_2 - y_1}{x_2 - x_1}\).

Find the slope of Graph 1:

Using two points on the line, (0, 0) and (3, 1):

Slope of graph 1 (m) = (1 - 0)/(3 - 0)

Slope of graph 1 (m) = 1/3

Find the slope of Graph 2:

Using two points on the line, (0, 0) and (-3, 1):

Slope of graph 2 (m) = (1 - 0)/(-3 - 0) = 1/-3

Slope of graph 2 (m) = -1/3

Find the slope of Graph 3:

Using two points on the line, (0, 0) and (1, 3):

Slope of graph 3 (m) = (3 - 0)/(1 - 0) = 3/1

Slope of graph 3 (m) = 3

Find the slope of Graph 4:

Using two points on the line, (0, 0) and (-1, 3):

Slope of graph 4 (m) = (3 - 0)/(-1 - 0) = 3/-1

Slope of graph 4 (m) = -3

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Answer:

Step-by-step explanation:

f(-1)= 1 - (-1)^2 + (-1)^3 = 1 - 1 - 1 = 0 - 1 = -1

If the function is f(x) = 1 – x² + x³. Then the value of the function at x = -1, is negative one.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

If the function f(x) = 1 – x² + x³ is given. Then find the value of the function at x = -1.

  f(x) = 1 – x² + x³

f(– 1) = 1 – (– 1)² + (– 1)³

f(– 1) = 1 – 1 – 1

f(– 1) = – 1

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Answer:

28650

Step-by-step explanation:

As x is the years, we know that it has a value of 6 years,we can start by nultiplying the 1025 by 6 to get 6150.Then take that and add it with the 22500 to get y.

6150+22500=28650

Rounding the answer to the nearest minute, the time taken for the plane to rise during stage 2 is 59 minutes.

To find the time taken for the plane to rise during stage 2, we start by calculating the altitude rise during stage 1. Multiplying the initial altitude of 31,348 feet by 5% (0.05) gives us an altitude rise of 1,567.4 feet. Subtracting this rise from the initial altitude, we get the altitude at the start of stage 2, which is 29,298 feet - 1,567.4 feet = 27,730.6 feet.

The plane needs to ascend from 27,730.6 feet to 36,000 feet during stage 2, with a rate of ascent of 140.3 feet per minute. Dividing the altitude difference (36,000 feet - 27,730.6 feet = 8,269.4 feet) by the rate of ascent (140.3 feet per minute), we find that it took approximately 58.91 minutes to rise during stage 2. Rounding this to the nearest minute, the time taken for the plane to rise during stage 2 is 59 minutes.

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Answer: w can be 1,2,4,5

Step-by-step explanation:

Let's recap the formula of Area:
Area = width x length = w x l
Area = 40 = w x l

The definition of a whole number: is a number without fractions; an integer such as 0, 1, 2, 3, 4, 5, 6,...

Let's start with 0. 0 times anything is equal to 0, so we cannot make 40 out of zero. Cross this out.

Next, let's try with 1:

a. 1x40 = 40

Then, applying the same concept to the rest we have these multiplications:

b. 2x20 = 40

c. 4x10 = 40

d. 5x8 = 40

e. 8x5 = 40

f. 10x4 = 40

g. 20x2 = 40

h. 40x1 = 40

Let's recap the formula of Perimeter:

P = 2 x (w + l)

So, we have the calculated perimeters (according to the above finding):
a. P= 2x(1+40)=82

b. P= 2x(2+20)=44

c. P= 2x(4+10)=28

d. P= 2x(5+8)=26

The below answers do not fit the [width < length]

e. P= 2x(8+5)=26 [not an answer]

f. P= 2x(10+4)=28 [not an answer]

g. P= 2x(20+2)=44 [not an answer]

h. P= 2x(40+1)=82 [not an answer]

Answer:

45 pages

Explanation:

The total number of pages in her textbook is equivalent to 100% of her textbook. So, using the ratio that 20% are 9 pages, we can find the 100% as follows

Therefore, her textbook has 45 pages in total.

Answer: 240ft

Step-by-step explanation:

Width:

10(15) + 10

= 150 + 10

= 160

Length:

4(15) + 20

= 60 + 20

= 80

L x W

= 160 + 80

= 240

Answer: 9

Step-by-step explanation:

½bh = 29.25

½ × 6.5 × b = 29.25

B= 29.25/ 3.25

The length of the base of the triangle is 9 centimeters.

The area of a triangle is simply expressed as half base multiplied by height.

Area A = 1/2 × base length × height

Given the dimensions of the triangle:

Area A = 29.25 square centimeters

Height = 6.5 centimeters

Base length =?

To find the height of the triangle, plug the given values into the above formula and solve for h:

Area A = 1/2 × base length × height

29.25  = 1/2 × base length × 6.5

29.25  = base length × 3.25

Base length = 29.25 / 3.25

Base length = 9 cm.

Therefore, the base length measures 9 centimeters.

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15. If your car traveled 6.05 miles in 5.75 minutes and you continue driving at the same pace, it will take approximately 262.17 minutes to drive 246 miles.

16. The volume of the gold nugget with a mass of 21.75 g and a density of 19.32 g/mL is approximately 1.125 mL.

15. Using the given information, we can set up a proportion to find the time it will take to drive 246 miles. The proportion can be set up as: (6.05 miles / 5.75 minutes) = (246 miles / x minutes), where x represents the unknown time. Cross-multiplying and solving for x, we find that x ≈ 262.17 minutes. Therefore, it will take approximately 262.17 minutes to drive 246 miles at the same pace.

16. To calculate the volume of the gold nugget, we can use the formula: volume = mass / density. Plugging in the given values, we get: volume = 21.75 g / 19.32 g/mL. Performing the division, we find that the volume is approximately 1.125 mL. Therefore, the volume of the gold nugget is approximately 1.125 mL.

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The probability that the scores of the two randomly selected testers are within 10 points of each other is approximately 0.78 (rounded to two decimal places).

To find the probability that the scores of the two randomly selected testers are within 10 points of each other, we need to calculate the probability that the absolute difference between their scores (denoted as |d|) is less than or equal to 10.

Let X and Y be the scores of the two testers, with X ~ N(\(41, 41^2\)) and Y ~ N(\(41, 41^2\)) (since both have a mean of 41 and a standard deviation of 9).

We want to find P(|X - Y| ≤ 10).

Since X and Y are independent and normally distributed, the difference X - Y is also normally distributed with a mean of (41 - 41) = 0 and a variance of \((9^2 + 9^2) = 162.\)

Now, we can calculate the standard deviation of X - Y as √(162) ≈ 12.73.

Thus, P(|X - Y| ≤ 10) can be calculated using the standard normal distribution as follows:

Z = (10 - 0) / 12.73 ≈ 0.785

Using a standard normal table or calculator, we find that the probability corresponding to Z = 0.785 is approximately 0.7838.

Therefore, the probability that the scores of the two testers are within 10 points of each other is approximately 0.78 (rounded to two decimal places).

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The 3rd (third term )of the sequence with  a₁ = 6 and aₙ = aₙ₋₁ • 2 using Geometric Sequence is 24.

To find the third term of the geometric sequence with a recursive formula, we can use the given formula which is a GP formula:

a₁ = 6

aₙ = aₙ₋₁ • 2

Given

First term (a₁) = 6

Therefore

Second term (a₂) = a₁ • 2

                            = 6 • 2 = 12

Third term (a₃) = a₂ • 2

                        = 12 • 2 = 24

Therefore, the third term of the sequence is 24.

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Answer for 7: C

Answer for 9: A

Step-by-step explanation for 7:

Because the variable is an exponent, we know there are no real numbers which cannot be placed in the exponent. Therefore, the domain is all real numbers.

Step-by-step explanation for 9:

Test a few values for x. Notice as the x value gets higher, the y value gets exponentially higher. Notice as the x value gets lower, the y value approaches 0, but no value of x will have y equal to or less than 0. Therefor, the asymptote, or line that cannot be crossed is 0 - making A the correct solution.

Answer:

The common difference is -5

Step-by-step explanation:

45-40=5, 40-35=5, etc.

As per the given measurement, you would need to burn an extra 500 calories every day in order to lose 9 pounds in 63 days, assuming that the rest of your diet remains constant.

We know that in order to lose 1 pound of body weight, you need to burn an extra 3500 calories. Therefore, to lose 9 pounds, you would need to burn an extra 31,500 calories

=> (9 pounds x 3500 calories per pound).

If you divide this number by the number of days in which you want to achieve this goal, you'll find the amount of calories you need to burn each day. In this case, it would be:

31,500 calories / 63 days = 500 calories per day

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The weight distribution can vary based on the number of crates and their sizes. It's important to consider the weight of each size and evenly distribute the crates to ensure the trucks are loaded properly.

The three trucks are being loaded with small, medium, and large crates. Each crate of the same size has the same weight, and each size has a different weight.

The weight of the crates is dependent on their size. Let's say the small crates weigh 10 pounds, the medium crates weigh 20 pounds, and the large crates weigh 30 pounds.

To load the trucks, you need to consider the weight distribution. If you want to evenly distribute the weight, you can load the same number of crates of each size onto each truck.

For example, if you have 10 small, 10 medium, and 10 large crates, you can load 3 small, 3 medium, and 3 large crates onto each truck.

However, if you have a different number of crates for each size, you will need to adjust the distribution accordingly. Let's say you have 10 small, 5 medium, and 15 large crates.

In this case, you can calculate the total weight of each size by multiplying the weight of one crate by the number of crates.

Then, you can divide the total weight of each size by the total number of trucks to determine how many crates of each size should be loaded onto each truck.

For example, if the total weight of the small crates is 100 pounds, the total weight of the medium crates is 100 pounds, and the total weight of the large crates is 450 pounds, and you have 3 trucks, you can divide the total weight by the number of trucks.

This means each truck should carry approximately 33 pounds of small crates, 33 pounds of medium crates, and 150 pounds of large crates.

Remember, the weight distribution can vary based on the number of crates and their sizes.

It's important to consider the weight of each size and evenly distribute the crates to ensure the trucks are loaded properly.

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