Assume that all variables are implicit functions of time, t. Find dy/dt for x^2+9y^2=10;dx/dt =3 when x=1 and y=1

Answer:

25.40

Step-by-step explanation:

Answer:

25.40

Step-by-step explanation:

5 rounds up but 9 rounds up to ten so you add one to the tenths

Step-by-step explanation:

kruitika- 42

Gordorn-31

so krutila was 11 when they gave birth to Gordon

she was 23 when they gave birth to pip

The youngest of them is pip so pip is =19

Answer:

\({ \tt{circumference \approx\pi \: d}} \\ \approx{ \tt{3.14 \times 15}} \\ \\ \approx47.124 \: inches\)

An inequality that represents the situation is s > 140.

Let's use "s" to represent the number of milligrams of sodium in a serving.

Since a serving of food does not qualify as low sodium if it contains more than 140 milligrams of sodium, we can write the inequality:

s > 140

This inequality reads "s is greater than 140", indicating that any value of "s" that is greater than 140 milligrams of sodium per serving does not qualify as low sodium.

To graph this inequality, we can represent "s" on the vertical axis and mark the value of 140 with a dashed line.

Since the inequality is greater than 140, we shade the area above the line to represent all the possible values of "s" that do not qualify as low sodium.

The resulting graph would look like given in the attached image.

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The complete question:

Write and graph an inequality that represents the number of sodium 's' in a serving that does not qualify as low sodium.

For a food to be labeled low sodium, there must be no more than 140 milligrams of sodium per serving.

For the Friedman test, when χ_R^2 is less than the critical value, we decide to reject the null hypothesis. Thus, the correct option is (b).

The Friedman test is a non-parametric statistical test used to compare the means of two or more related samples. It is typically used when the data is measured on an ordinal scale.

In the Friedman test, the null hypothesis states that there is no difference in the population means among the groups being compared. The alternative hypothesis suggests that at least one group differs from the others.

To perform the Friedman test, we calculate the Friedman statistic (χ_R^2), which is based on the ranks of the data within each group. This statistic follows a chi-squared distribution with (k-1) degrees of freedom, where k is the number of groups being compared.

The critical value of χ_R^2 is obtained from the chi-squared distribution table or using statistical software, based on the desired significance level (usually denoted as α).

Now, to answer your question, when the calculated χ_R^2 value is less than the critical value from the chi-squared distribution, it means that the observed differences among the groups are not significant enough to reject the null hypothesis. In other words, there is not enough evidence to conclude that the means of the groups are different. Therefore, we decide to retain the null hypothesis.

On the other hand, if the calculated χ_R^2 value exceeds the critical value, it means that the observed differences among the groups are significant, indicating that the null hypothesis is unlikely to be true. In this case, we would reject the null hypothesis and conclude that there are significant differences among the groups.

It's important to note that the decision to retain or reject the null hypothesis depends on comparing the calculated χ_R^2 value with the critical value and the predetermined significance level (α). The specific significance level determines the threshold for rejecting the null hypothesis.

Thud, the correct option is (b).

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The standard deviation of y is 1000.

The standard deviation of y can be found by using the formula for the standard deviation of a random variable that is a constant multiple of another random variable. The formula is:

σ_y = |a|σ_x

Where σ_y is the standard deviation of y, a is the constant multiple, and σ_x is the standard deviation of x.

In this case, we know that y is 10 times x, so a = 10. We also know that the standard deviation of x is 100, so σ_x = 100.

σ_y = |10|(100)

σ_y = 1000

Therefore, the amount of variation or dispersion of the values which is measured by the standard deviation has a value of 1000.

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Answer:

D.

Step-by-step explanation:

i hope im right

Answer:

B: p=1,000m

Step-by-step explanation:

Answer:

V Down Below V

Step-by-step explanation:

(36x6 +54x4 - 6x3) ÷ (-6x)​

(108+54x4 - 6x3) ÷ (-6x)​

(108+216-6x3) ÷ (-6x)

(108+216-18) ÷ (-6x)

306÷(-6x)

-306÷(6x)

-306/6x

-51/x

_____________________________

Or

_____________________________

(36x6 +54x4 - 6x3) ÷ (-6x)​

-6x=0

x=0

Answer:

-32 +24c

Step-by-step explanation:

8(-4 +3c)

Multiply 8 and -4

Multiply 8 and 3c

-32 + 24c

Hope this helps!

Answer:

The answer is: -32+24c

Answer:

Step-by-step explanation:

For one flower, the following shapes are used;

6 yellow hexagons, 2 red trapezoids and 9 green triangles

If we are given 30 yellow hexagons 50 red trapezoids and 60 green triangles, to get the number of flowers we can make, we will find the greatest common factor of 30, 50 and 60

30 = 6*5

50 = (2*5)+40

60 = (9*5)+15

We can see that 5 is common to all the factors. This means that we can make 5 flowers if they were changed to 30 yellow hexagons 50 red trapezoids and 60 green triangles.

Since there are 40 trapezoids left and 15 green triangles left, hence the shape that would have n as left over most is trapezoid (40 left over)

The final enrollment after one decade is obtained by taking the 30% of the initial enrollment.

For the stated question-

Let initial enrollment = 100.

After one decade, the enrollment added 30% of the initial.

Thus,

= 100 + 30% of 100

= 100 + 130

= 130

Thus, the final enrollment after one decade is obtained by taking the 30% of the initial enrollment.

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The equation x⁴ - 14x² + 49 = 0 can be factored as (x - √7)(x + √7)(x - √7)(x + √7) = 0.

To solve the equation x⁴ - 14x² + 49 = 0 by factoring, we can rewrite it as a quadratic equation in terms of x².

Let's substitute y = x²:

y² - 14y + 49 = 0

This is a simple quadratic equation that can be factored as (y - 7)² = 0. Applying the square root property, we have:

y - 7 = 0

Solving for y, we find that y = 7. Now, let's substitute back x² for y:

x² = 7

Taking the square root of both sides, we get two solutions:

x = √7 and x = -√7

The solutions are x = √7 and x = -√7.

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f to the negative 1 means the inverse function of a given function "f"

In mathematics, the notation "f^-1" (or "f to the negative 1 power") is used to indicate the inverse function of a given function "f".

A function "f" maps an input (also called the domain) to an output (also called the range). An inverse function "f^-1" maps the output of the original function back to its corresponding input.

In other words, if f(x) = y, then f^-1(y) = x.

For example, consider the function f(x) = 2x. The inverse function of f is f^-1(x) = x/2. The original function maps the input x to the output 2x, and the inverse function maps the output back to the input x/2.

Note that for a function to have an inverse function, it must be a one-to-one function. which means that for every unique output, there must be a unique input.

In summary, the notation "f^-1" represents the inverse function of a given function "f", which maps the output of the original function back to its corresponding input.

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Answer:

20 problems.

Step-by-step explanation:

She has 100 - 65 = 35% of her problems left.

35% is equivalent to 7 problems,

so, 100% = 7 * 100/35

               = 100/5

              = 20 problems

The entropy of the source that emits the given symbols with their respective probabilities is approximately 1.859 bits.

To find the entropy of a source that emits symbols with given probabilities, we can use the formula for entropy:

H(X) = -Σ P(x) log2 P(x)

where H(X) represents the entropy of the source, P(x) represents the probability of symbol x, and the sum is taken over all symbols emitted by the source.

Given the probabilities for symbols A, B, C, D, E, F, G, H, and I as 1/2, 1/1, 1/1/2, 1/2, 1/1, 1/1/2, and 1/2 respectively, we can calculate the entropy as follows:

H(X) = -(1/2) log2(1/2) - (1/1) log2(1/1) - (1/1/2) log2(1/1/2) - (1/2) log2(1/2) - (1/1) log2(1/1) - (1/1/2) log2(1/1/2) - (1/2) log2(1/2)

Simplifying the expression:

H(X) = - (1/2) log2(1/2) - 1 log2(1) - (2/3) log2(2/3) - (1/2) log2(1/2) - 1 log2(1) - (2/3) log2(2/3) - (1/2) log2(1/2)

H(X) = - (1/2) (-1) - (2/3) (-log2(2/3)) - (1/2) (-1) - (2/3) (-log2(2/3))

H(X) = 1/2 + (2/3) log2(2/3) + 1/2 + (2/3) log2(2/3)

H(X) ≈ 1.859

Therefore, the entropy of the source that emits the given symbols with their respective probabilities is approximately 1.859 bits.

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Answer: Domain (3, infinity); Asymptote x = 3

Step-by-step explanation:

log(x) domain is (0, infinity), but in this function the (x - 3) shifts the graph 3 to the right

The asymptote is 3 because log(3-3) = log(0) which does not exist (and any number that is negative inside log too) the function can't reach 3 which makes it the asymptote

The probability of selecting all three purple balls is 0.1429 or approximately 14.29%.

To find the probability that all three balls are purple, we need to use the formula for the probability of the intersection of three events:

P(A and B and C) = P(A) x P(B|A) x P(C|A and B)

where A, B, and C are the events of drawing a purple ball from the bag on the first, second, and third draws, respectively.

The probability of drawing a purple ball on the first draw is:

P(A) = number of purple balls / total number of balls = 9 / 15

After drawing a purple ball on the first draw, there are now 8 purple balls left in the bag out of a total of 14 balls, so the probability of drawing a purple ball on the second draw, given that a purple ball was drawn on the first draw, is:

P(B|A) = number of purple balls left / total number of balls left = 8 / 14

After drawing two purple balls, there are now 7 purple balls left in the bag out of a total of 13 balls, so the probability of drawing a purple ball on the third draw, given that two purple balls were drawn on the first two draws, is:

P(C|A and B) = number of purple balls left / total number of balls left = 7 / 13

Therefore, the probability of drawing three purple balls in a row is:

P(A and B and C) = P(A) x P(B|A) x P(C|A and B) = (9 / 15) x (8 / 14) x (7 / 13) = 0.1429 or approximately 14.29%

So, the probability of selecting all three purple balls is 0.1429 or approximately 14.29%.

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Answer:

The answer is D

Step-by-step explanation:

Answer:

It would be D, hope this helps!

Stabilizing selection is a type of natural selection that favors the average phenotype over extreme variants, leading to a reduction in genetic diversity.

Directional selection is a type of natural selection that favors one extreme phenotype over others, leading to a shift in allele frequency in one direction, often in response to a changing environment or new selective pressure.

Stabilizing selection is a type of natural selection that favors the average phenotype over extreme variants. This type of selection occurs when the existing phenotype is well adapted to a stable environment, and individuals with extreme phenotypes are less fit. As a result, the genetic diversity of a population is reduced, and the population becomes more homogeneous over time.

Directional selection, on the other hand, favors one extreme phenotype over others, leading to a shift in allele frequency in one direction. This type of selection often occurs in response to a changing environment or new selective pressure, and can lead to the evolution of a new trait or the adaptation of a population to a new environment.

Overall, natural selection plays a critical role in shaping the genetic makeup of populations and driving the process of evolution.

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For the given trigonometric function y =16sin1/2 x the graph shows the amplitude of 16 ,  graph of exactly one cycle is with period 4π , with no vertical and phase shift.

As given in the question,

Given trigonometric function :

y = 16sin 1/2 x

Attached graph of the given trigonometric function with

Amplitude = 16

Period = 4π

Vertical shift = None

Phase shift = none

Table for the required trigonometric function values which represent appropriate scale and graph exactly one cycle of the trigonometric function

x : 0        π        2π          3π         4π

y :  0       16        0            -16         0

Therefore,  graph of trigonometric function y =16sin1/2 x shows the amplitude of 16 ,  graph of exactly one cycle is with period 4π , with no vertical and phase shift.

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the capture rate will be lower than what is indicated in the confidence level.

A C% confidence interval gives an interval of plausible values for a parameter. The interval is calculated from the data and has the form, point estimate ± margin of error.

When the random and large counts conditions are met, a C% confidence interval for the population proportion p is

Point estimate ±margin of error

Ƹ± √Ƹ(1 − Ƹ)/

Where z is the critical value for the standard normal curve with C% of its area between –z and +z.

Your interval will look like: ______ < p <________

Confidence Intervals in a 4 Step Process:

Statistics Problems Demand Consistency

1. State: What parameter do you want to

estimate, and at what confidence level?

2. Plan: Identify the appropriate inference

method: check conditions.

3. Do: If the conditions are met, perform

calculations.

4. Conclude: Interpret your interval in the

context of the problem.

When constructing a confidence interval for a population proportion, it is checked that sample size is less than 10% of population size.

This condition is important due to the the fact that when sample size is less than of population size, observations are closer to independent.

If this requirement is not met, it is not possible to calculate standard deviation of distribution.

If this requirement is not met, it is not possible to calculate standard deviation of distribution correctly.

If standard deviation is not correct, confidence level will be inaccurate. There are less chances to obtain population parameter in confidence interval.

Therefore, the capture rate will be lower than what is indicated in the confidence level.

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The capture rate will be lower than what is indicated in the confidence level.

An interval of conceivable values for a parameter is provided by a C% confidence interval. The interval is formed as a point estimate with a margin of error and is calculated from the data.

A C% confidence interval for the population proportion p when the random and large counts requirements are satisfied is 

Point estimate margin of error

Ƹ± √Ƹ(1 − Ƹ)

Where z is the critical value for the standard normal curve with C% of its area between –z and +z.

Your interval will look like: ______ < p <________

Confidence Intervals in a 4-Step Process:

1. Clarify what parameter you wish to estimate and at what level of confidence.

2. Make a plan and decide which inference technique is best. Check the circumstances.

3. If the criteria are satisfied, run the calculations.

4. Summarize: Consider your interval in light of the issue.

It is ensured that the sample size is less than 10% of the population size when creating a confidence interval for a population proportion. This requirement is crucial because observations are more likely to be independent when the sample size is smaller than the population size. Calculating the distribution's standard deviation is impossible if this condition is not satisfied. The standard deviation of the distribution cannot be appropriately calculated if this condition is not satisfied. The confidence level will be incorrect if the standard deviation is incorrect. Population parameters are less likely to be found in a confidence interval. As a result, the capture rate will be lower than what the confidence level predicts.

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Answer:

78

Step-by-step explanation:

Mode = number that appears most in a set of numbers

The number that appears the most in this set is 78. So, the mode is 78. Hope it helps!

Answer:

Step-by-step explanation:

arrange in ascending order

39,43,43,50,55,61,75,78,78,78

mode=78

Answer:

B

Step-by-step explanation:

It would be -100 because you would be withdrawing, not adding the amount, or staying with the same amount.

Answer:

B) -100

Step-by-step explanation:

Withdrawing means taking out, and subtracting is taking out a number, so the answer is B.

well, clearly is 4 :).

now, if we take 25 to be the 100%, what is 4 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 25 & 100\\ 4& x \end{array} \implies \cfrac{25}{4}~~=~~\cfrac{100}{x} \implies 25x=400\implies x=\cfrac{400}{25}\implies x=16\)

A) the angle created by the driver turning is 60°

B) the driver who turned left into 2nd street created an angle of 120°

C) the driver who turned right onto 2nd street made an angle of 120°

a) The driver on 4th Street negotiated an angle that was opposite ∠60° shown above. Since opposite angles are equal in geometry, thence the agle created is 60°

b) The diver travelling southwest on Marvin Avenue created an 120° because the angle created is corresponding to the angle which is supplementary to 60°.

Since supplementary angles sum up to 180°

Hence 180-60 = 120°

c) The angle in this case is 120° because the angle created is opposite the one created in B above. recall that opposite angles are congruent.

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Answer:

107.5 and 72.5

Step-by-step explanation:

5. The solution to the differential equation (ex + y)dx + (2 + x + yey)dy = 0 with y(0) = 1 is y = 2e^(-x) – x – 1. 6. The solution to the differential equation (x + y)²dx + (2xy + x² – 1)dy = 0 with y(1) = 1 is y = x – 1.

5. To solve the differential equation (ex + y)dx + (2 + x + yey)dy = 0 with the initial condition y(0) = 1, we can use the method of exact differential equations. By identifying the integrating factor as e^(∫dy/(2+yey)), we can rewrite the equation as an exact differential. Solving the resulting equation yields the solution y = 2e^(-x) – x – 1.
To solve the differential equation (x + y)²dx + (2xy + x² – 1)dy = 0 with the initial condition y(1) = 1, we can use the method of separable variables. Rearranging the equation and integrating both sides with respect to x and y, we obtain the solution y = x – 1.
These solutions satisfy their respective initial conditions and represent the family of curves that satisfy the given differential equations.

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Answer:

the answer is A

Step-by-step explanation:

Answer:

n=0.5 m=n/2

Step-by-step explanation:

Answer:

option a is the correct answer

I hope it will helpful for you

mark as brainest answer✅

thank you