Find the complete solution of each equation. Express your answer in degrees. cot θ=cot²θ

Answer:

30/3 is a Natural because you have to divide 30/3 to get 10

Step-by-step explanation:

Answer:

C. the mean is greater

Step-by-step explanation:

took the test

we can use survivorship to make judgements in following ways:

1. Life expectancy

2. Reproductive strategies

3. Population growth

Survivorship curves are graphical representations of the survival rates of individuals in a population over time. They are a useful tool for understanding and predicting the life expectancy of a population, as well as the reproductive strategies that a species employs.

Here are some ways in which survivorship curves can be used to make judgments:

- Life expectancy: The shape of a survivorship curve can give us an idea of the typical lifespan of individuals in a population. If the curve shows a steep decline in survival rates early in life, this suggests that many individuals are dying at a young age, indicating a shorter average lifespan. On the other hand, if the curve shows a gradual decline in survival rates over time, this suggests that individuals are living longer on average.

- Reproductive strategies: Survivorship curves can also provide information about the reproductive strategies employed by a species. Species that have a high survival rate early in life tend to produce fewer offspring, but invest more resources in each individual to ensure its survival. Species with a lower survival rate early in life tend to produce more offspring, but invest fewer resources in each individual.

- Population growth: By examining the shape of a survivorship curve, we can make judgments about the future growth or decline of a population. If the curve shows a steep decline in survival rates later in life, this suggests that the population is aging and may be in decline. If the curve shows a elatively constant rate of decline over time, this suggests that the population is stable.

In summary, survivorship curves can be a useful tool for making judgments about the lifespan, reproductive strategies, and future growth of populations. By analyzing these curves, we can gain insights into the dynamics of different populations and make more informed decisions about how to manage and conserve them.

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Assume \(\sf\:f : [a, b] \rightarrow \mathbb{R} \\\) is integrable. We want to show that if \(\sf\:g\) satisfies \(\sf\:g(x) = f(x) \\\) for all but a finite number of points in \(\sf\:(a, b)\), then \(\sf\:g\) is integrable as well and \(\sf\:\int_{a}^{b} g(x) \, dx = \int_{a}^{b} f(x) \, dx \\ \).

Proof:

Assume there exists a point \(\sf\:x_0\) in \(\sf\:(a, b)\) where \(\sf\:f\) and \(\sf\:g\) differ.

Since \(\sf\:f\) is integrable, by definition, for any given \(\sf\:\epsilon > 0 \\\), there exists a partition \(\sf\:P\) of \(\sf\:[a, b]\) such that the upper sum \(\sf\:U(f, P) - L(f, P) < \epsilon \\\).

Let's consider the partition \(\sf\:P\) which includes the point \(\sf\:x_0\). Without loss of generality, assume \(\sf\:x_0\) is the right endpoint of a subinterval \(\sf\:[x_i, x_{i+1}] \\\) in \(\sf\:P\).

Since \(\sf\:g(x) = f(x) \\\) for all but a finite number of points, we can select a subinterval \(\sf\:[x_i, x_{i+1}] \\\) such that \(\sf\:g(x) = f(x) \\\) for all \(\sf\:x\) in \(\sf\:[x_i, x_{i+1}] \\\)except \(\sf\:x_0\).

Now, we have:

\(\sf\:\sup_{x \in [x_i, x_{i+1}]} g(x) - \inf_{x \in [x_i, x_{i+1}]} g(x) = \sup_{x \in [x_i, x_{i+1}]} f(x) - \inf_{x \in [x_i, x_{i+1}]} f(x) \\\)

Using this, we can rewrite the upper sum and lower sum as:

\(\sf\:U(g, P) = U(f, P) + \sup_{x \in [x_i, x_{i+1}]} g(x) - \inf_{x \in [x_i, x_{i+1}]} g(x) \\\)

\(\sf\:L(g, P) = L(f, P) + \sup_{x \in [x_i, x_{i+1}]} g(x) - \inf_{x \in [x_i, x_{i+1}]} g(x) \\\)

Since \(f\) is integrable, we have \(\sf\:U(f, P) - L(f, P) < \epsilon \\\). Therefore, \(\sf\:U(g, P) - L(g, P) < \epsilon \\\) as well.

This holds for any partition \(\sf\:P\) of \(\sf\:[a, b]\). Hence, \(\sf\:g\) is integrable and \(\sf\:\int_{a}^{b} g(x) \, dx = \int_{a}^{b} f(x) \, dx \\\).

490

472 <490<500

it fits the criteria

False. The statement "If f(x) is a differentiable function that is positive for all x, then f'(2) is increasing for all x" is not necessarily true.

To explain this further, let's break it down step by step:

1. f(x) is a differentiable function, meaning it has a derivative f'(x) at all points in its domain.
2. f(x) is positive for all x, which implies that the function lies above the x-axis. However, this does not provide any information about the behavior of its derivative, f'(x).
3. f'(2) is the value of the derivative of f(x) at x = 2, but this information is not enough to conclude that f'(x) is increasing for all x.

The statement is false. Knowing that f(x) is a differentiable function and positive for all x does not guarantee that f'(2) is increasing for all x.

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The probability of selecting a white marble from the box is 0.5 or 50%.

We have,

To calculate the probability of selecting a white marble from the box, we need to determine the total number of marbles and the number of white marbles in the box.

In this case, the box contains a total of 2 black marbles, 4 red marbles, and 6 white marbles.

The probability of selecting a white marble can be calculated as:

Probability of selecting a white marble = (Number of white marbles) / (Total number of marbles)

Probability of selecting a white marble = 6 / (2 + 4 + 6)

Probability of selecting a white marble = 6 / 12

Probability of selecting a white marble = 0.5

Therefore,

The probability of selecting a white marble from the box is 0.5 or 50%.

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Answer:

{51

Step-by-step explanation:

10^2 - 7^2= 51

You can’t square 51 because no two same whole numbers multiplied creates 51

B= 51

Check answer

7^2 + 51= 100

{100 = 10^2

Answer: The slope is negative zero point five if that was what you were looking for “(-0.5)”

Answer:

The six half liter bottles

Step-by-step explanation:

They have 1.30 per liter, while the other is 1.40

Answer:

$160

Step-by-step explanation:

Step one:

given data

Principal = $2000

rate= 8%

time t= 1 year

Required

The Simple interest paid after 1 year

Step two:

Simple interest = PRT/100

Simple interest = 2000*8*1/100

Simple interest = 16000/100

Simple interest =$160

The simple interest paid after 1 year is $160

The probability of rolling a sum of 7 or 11 is (6 + 2) / 36 = 8 / 36 = 2 / 9.

To find the probability of rolling a sum of 7 or 11 when two dice are rolled, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.

The favorable outcomes for a sum of 7 are (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1), which gives us 6 possible combinations.

The favorable outcomes for a sum of 11 are (5, 6) and (6, 5), which gives us 2 possible combinations.

The total number of possible outcomes when rolling two dice is 6 * 6 = 36.

Therefore, the probability of rolling a sum of 7 or 11 is (6 + 2) / 36 = 8 / 36 = 2 / 9.

Hence, the correct answer is 2/9.

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Stratified random sampling was the technique employed by Homer to choose his sample.

Given case;

Homer Simpson is fascinated with the proportion of the different sprinkled colors on lard lad doughnuts. Homer buys three of each type of donut they produce and counts the sprinkles on them to perform his research.

The method did homer use to select his sample is stratified random sampling. Because each variety is a stratum.

From there 3 3 samples are collected.

Stratified random sampling:

A crucial aspect of the sampling strategy known as stratified random sampling is the stratification of a population into smaller subgroups known as strata. During stratified random sampling, the strata are created based on the shared traits or features of the participants, such as level of education or income. Numerous uses and advantages of stratified random sampling include examining life expectancy and population demography.

The terms proportionate random sampling and quota random sampling are also used to describe stratified random sampling.

The method did homer use to select his sample is stratified random sampling.

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Answer:

si quroma mande' cromo jajaja

Step-by-step explanation:

Answer:

The constant is: 3.14

Multiplying 2 by 3.14 which would get you to 6.28

Multiply each one by 3.14

Answer:

the second one I think, as it is clearer and makes more sense

The jump will be from 0 to 0.8, and the other jump from 0.8 to 1.1 in the right direction. Then the correct option is B.

A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.

The expression is given below.

⇒ 0.8 + 0.3

The sign of both terms are similar that is positive.

If the sign of the number is positive, then we move rightward. Similarly, if the sign of the number is negative, then we move leftward.

First, the jump will be from 0 to 0.8, and the other jump from 0.8 to 1.1 in the right direction. Then the correct option is B.

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The genre which had the same number of votes in each study is: B. horror.

See the attached charts.

From the bar chart, the number of votes for horror movie is equal to 40 votes. Next, we would calculate the number of votes for horror movie in the pie chart as follows;

Number of votes = 16/100 × 250

Number of votes = 0.16 × 250

Number of votes = 40 votes.

Finally, we may infer rationally that horror is a film genre that receives the same amount of votes in each independent research.

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Answer:

\(\boxed{\sf{m=\frac{4}{5}}}\)

Step-by-step explanation:

In order to solve this problem, we will use the slope.

Slope:

\(\sf\dfrac{Y_2-Y_1}{x_2-x_1}=\dfrac{rise}{run}\)

y2=(-6)

y1=(-2)

x2=2

x1=7

Solve the problem by rewriting it down.

\(\sf{\dfrac{(-6)-(-2)}{2-7} }=\dfrac{(-6)+2}{2-7}=\boxed{\dfrac{4}{5} }\)

m=4/5

Therefore, the slope is 4/5.

I hope this helps! Feel free to correct me if I am wrong.

Answer:

x = 19, ARC MP = 104º

Step-by-step explanation:

9x-43 = 5x+33

4x = 76

x = 19

Arc MP = 360 - (9x-43 + 5x+33)

Arc MP = 360 - (9(19)-43 + 5(19)+33)

= 360 - 256

MP = 104º

We can change the base formula by:

                           logₐ b = logₓ a /logₓ b

                                         OR

                           logₓ a, logₓ b = logₓ a

The change of base formula is used to change the base of a logarithm.  We know that "log" stands for a logarithm of base 10 and "ln" stands for a logarithm of base e. But there is no option to calculate the logarithm of a number with any other bases other than 10 and e.

The change of base formula solves this issue of changing base from e to 10, and from base 10 to e. Also, it is used in solving several logarithms problems.

Base Formula: -

The change of base formula is used to write a logarithm of a number with a given base as the ratio of two logarithms each with the same base that is different from the base of the original logarithm. This is a property of logarithms. You can see the change of base formula here.

Change of base formula

                            logₐ b = logₓ a /logₓ b

                                         OR

                            logₓ a, logₓ b = logₓ a

Change of Base Formula

Change of base formula can be represented as follows. Here the base of the given logarithm is also changed to a logarithm with a new base. The basic logarithm with a base is transformed to two logarithms with a new and same base. The change of base formula is:

                          logₐ  b = [logₐ x] / [logₐ y]

In this formula,

Change of Base Formula Derivation

Change of base formula derivation can be understood from the following steps. Let us assume that

log ₐ b = p, logₙ a = q, and logₙ b = r.

By converting each of these into exponential form, we get,

a = \(b^{p}\), a = \(x^{q}\), and b = \(n^{r}\)

From the first two equations,

\(x^{q}\) = \(n^{r}\)

Substituting b =  \(n^{r}\) (which is from third equation) here,

(\(n^{r}\))\(^{p}\) = \(x^{q}\)

\(n^{r}\))\(^{p}\) = \(x^{q}\)(Using a property of exponents)

p r = q

p = q / r

Substituting the values, we get,

logₐ  b = [logₐ x] / [logₐ y]
For Example:

Evaluate the value of log₆₄ 8 using the change of base formula.

Solution:

We will apply the change of base formula (by changing the base to 10). Note that log₁₀ is same as log.

log₆₄ 8 = [log 8] / [log 64]

            = [log 8] / [log 82]

            = [log 8] / [2 log 8]              [∵ log am = m log a]

            = 1 / 2

Answer: log₆₄ 8 = 1 / 2

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The probability that they will have an ab/ab child is 5%

Probability is how likely an event is to happen. It is measured by the ratio of the number of good cases to the total number of cases that could happen.

ab/ab (female) x ab/ab (male)

Possible alleles: [Find the alleles of the parents first, because the rest can be mixed]

AB (parental)

ab (parental)

Ab (recombinant)

aB (recombinant)

The m.u. tells us that recombinant alleles happen 10% of the time. If a child is (Ab/ab), then (ab) would come from the father, and (Ab) would come from the mother.

Given the mother has allele ab/ab looking at probabilities there is 50%chance that the child will inherit the allele and a 10% chance for the recombination to happen.

P(ab/ab)= (50%) (10%) = 5%

hence the answer is 5%

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Answer:

B'= (-4,6)

C' (6,6)

D'(-4,-4)

Answer:hiyyyyyaaaaaa

Step-by-step explanation:

6.56 × 1.2= 7.872 = 7.9 [ to 2 significant figures]

Significant figure

Significant figures are the number of digits in value, often measurement, that contribute to the degree of accuracy of the value. We start counting significant figures at the first non-zero digit. Calculate the number of significant figures for an assortment of numbers.

fewest; the same significant figures with; measured numbers

Without mincing words let us dive straight into the solution to the above question. In order to be able to use the significant figures properly one must know the rules attached to it uses. This is so, because they contributes to the precision of measurements.

When performing multiplication or division calculation, the number of significant figures in the answer[result] will be determined by the one with the smallest number of significant figure in the problem.

Therefore, if we have 6.56 which is three[3] significant figures and 1.2 which is two[2] significant figures, then the number of significant figures will be two[2].

6.56 × 1.2= 7.872 = 7.9[ to 2 significant figures].

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Answer:

0x+11y=-11

Step-by-step explanation:

hope this helps

plzz mark me brainliest

Answer:

y=-1

Step-by-step explanation:

-2×+7y=-5

- -2×-4y=6

11y=-11

But you don't leave the answer like that

You need to simplify

So

11y=-11

y=-11

11

y=-1

The greatest possible value of ab + bc+ cd+da is 576.

A permutation refers to a selection of objects from a set of objects in which order matters. A phone number is an example of a ten number permutation; it is drawn from the set of the integers 0-9, and the order in which they are arranged in matters. Another example of a permutation we encounter in our everyday lives is a passcode or password. To unlock a phone using a passcode, it is necessary to enter the exact combination of letters, numbers, symbols, etc., in an exact order. In cases where the order doesn't matter, we call it a combination instead.

ab+bc+cd+da

= ab + da  + bc + dc

= a(b + d) + c (b + d)

= (a + c) (b + d)

We choose any 2 of the 4 numbers to occupy the first set of parentheses without regard to order. Thus, the second sum is fixed.

⁴C₂ = 6

So, we  can permute the order of the parentheses' sums in two ways.

∴  6 / 2   =   3 different values

No matter the arrangements, the only possible values are

(9 + 11) (13 + 15)  = 360

(9 + 13) (11 + 15) = 572

(9+ 15) (13 + 11) = 576

The largest value out of the three is 576.

Thus, the greatest possible value of ab + bc+ cd+da is 576.

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The value of x if the volume and 6 by the area of one face are equal is 6

The side length of the cube is given as

Side length = x

From the question, we have the statement to be

The volume of the cube and 6 times the area of one of its faces have the same value.

The volume of a cube with side length x is

V = x³

The surface area multiplied by 6 is

A = 6x²

When both have the same values, we have

x³ = 6x²

Divide both sides by x²

x = 6

Hence, the value of x is 6

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Answer:

The population of town A is greater than B. Town A is 206 times greater than town B.

Step-by-step explanation:

Population of town B is 0.505 times greater than the population of town B.

The population of Town A is:

= 4 x 104

= 416 people

The population of Town B is:

= 2 x 105

= 210 people

In relation to town A, the population of town B is:

= Town B population / Town A population

= 210 / 416

= 0.505 times greater

In conclusion, the population of town A is more than that of town B so town B is only 0.505 times greater than town A to show that it is smaller than town A.

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We have the folllowing, the density population in US is:

The density population in California is:

The density in Califoria is 232.37 per mi^2

therefore, the density in California is higher than in the US.

The probability that both will experience allergies to pollen is 0.0484, and the probability that at least one will is 0.9516.

The following information is provided in the question:

A large country has a pollen allergy rate of about 22%.

As a result, the probability of people has a chance of having an allergy is  0.22.

P(allergic) = 0.22

P(Not allergic) = 1 - 0.22 = 0.78

If A and B are independent even, then,

P(A∩B) = P(A) × P(B)

Two people are randomly selected.

a) P( both will be allergic to pollen)

Since these are independent events,

P(both will be allergic to pollen)= P(allergic)*P(allergic)

= 0.22*0.22 =  0.0484

b) P(at least one person is allergic to pollen)

= 1 - P(both are not allergic to pollen)

= 1 - P(P(not allergic)*P(not allergic))

= 1 - (0.22*0.22)

= 0.9516

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