Use the given conditions to find the exact values of
sin(2u),
cos(2u),
and
tan(2u)
using the double-angle formulas.
sin(u) = −3/5, 3????/2 < u < 2????
Use the given conditions to find the exact values of
sin(2u),
cos(2u),
and
tan(2u)
using the double-angle formulas.
tan(u) = 5/3, 0 < u < ????/2
Use the half-angle formulas to determine the exact values of the sine, cosine, and tangent of the angle.
75°
Use the half-angle formulas to determine the exact values of the sine, cosine, and tangent of the angle.
????/8

The numbers in the ascending order is given by A , where

-73 < -21 < -6 1/2 < -4.7 < 0 < 8 8/9 < 11 < 13 < 38

When numbers are arranged in ascending order, they are done so from least to largest. We must first compare the numbers before we may arrange them in any order. Compare first, then order. Numbers arranged in ascending order: Determine how many digits each number has.

Given data ,

Let the set of numbers be represented as set P

The value of set P is P = { -4.7 , 11 , 13 , -21 , 8 8/9 , 0 , -6 1/2 , 38 , -73 }

On simplifying the equation , we get

The larger the negative number , the lesser is its value

And , larger the positive number , the greater is its value

So ,

The ascending order of the numbers are

-73 < -21 < -6 1/2 < -4.7 < 0 < 8 8/9 < 11 < 13 < 38

Hence ,

The ascending order is -73 < -21 < -6 1/2 < -4.7 < 0 < 8 8/9 < 11 < 13 < 38

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Answer:

It's constant

Step-by-step explanation:

at those points, the graph is going ---------------- so, it is constant.

// have a great day //

Answer: the third one

Step-by-step explanation:

Answer: I believe that the answer is the first one

Step-by-step explanation:

To determine if a misspelled name is repeated throughout a dataset, a data analyst can use the COUNT function. This function counts the number of occurrences of a value in a range of cells.

Alternatively, the data analyst could use the COUNTA function, which counts the number of cells in a range that contain data (including text and numbers, but not empty or blank cells). The COUNTA function would also count the number of occurrences of the misspelled name in the dataset.

What is a dataset, using an example?

A collection of numbers or values pertaining to one subject constitutes a data set. An example of a data set might be each student's test scores for a certain class. The amount of fish that each dolphin eats in an aquarium is a data set.

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Answer:

\( \hookrightarrow \: { \rm{density = \frac{mass}{volume} }} \\ \)

\({ \rm{density = \frac{10}{1} }} \\ \\ { \boxed{ \rm{density = 10 \: g {cm}^{ - 3} }}}\)

Answer:

r/c  

Step-by-step explanation:

96/48

or

24/12

Answer:

x=26

Step-by-step explanation:

Simplify both sides of the equation.

16+

x

13

=18

16+

1

13

x=18

1

13

x+16=18

Step 2: Subtract 16 from both sides.

1

13

x+16−16=18−16

1

13

x=2

Step 3: Multiply both sides by 13.

13*(

1

13

x)=(13)*(2)

x=26

According to the unbiased expectations theory, the forward rate from today to a future date can be estimated by taking the exponential of the difference between the interest rates. The percentage answer, rounded to two decimal places is 3.08 x \(10^{-13}\) percent.

The unbiased expectations theory is a financial theory that suggests the forward rate for a future date can be determined by considering the difference in interest rates. In this case, we need to calculate the forward rate from today to a future date. The formula for this calculation is \(e^{(-r*t)}\), where "r" represents the interest rate and "t" represents the time period.

In the given question, the interest rate is -32.16. To calculate the forward rate, we need to take the exponential of the negative interest rate. The exponential function is denoted by "e" in mathematical notation. Therefore, the calculation would be \(e^{-32.16}\).

To arrive at the final answer, we can use a calculator or computer software to evaluate the exponential function. The result is approximately 3.0797 x \(10^{-15}\).

To convert this to a percentage, we multiply the result by 100. So, the forward rate from today to the future date, according to the unbiased expectations theory, is approximately 3.08 x \(10^{-13}\) percent.

Please note that the specific date for the future period is not mentioned in the question, so the calculation assumes a generic forward rate calculation from today to any future date.

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Answer: I honestly have never seen that in my life sorry

Step-by-step explanation:

Answer:

a=q+f

Step-by-step explanation:

1. a-f=q

2. you need to do the opposite of -f which is +f to cancel it out

after that you need to do the +f to the q

Hope this helps

Using the literal equation a-f = q, the solution for a = p + q

A literal equation are  type of equations which have two or more unknown variables . A literal equation can be solved by adding or subtracting or multiplying or divide by same numbers to the both sides of the equation in order to solve the expression for the required variable.

For example if an given equation is x+ y =2 and we want to solve it for y

Then we will try to keep y on one side and take remaining terms to other side.⇒ y = x-2  is solution for y.

Given equation :

a- f = q

To solve for a, add f to both sides

⇒ a- f +  f = q+ f

⇒ a = q + f

Solution for a is q +f.

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Answer:

10 / 9

Step-by-step explanation:

[ 28 - 3 ( 2 + 4 ) ] / 9

= [ 28 - 3 ( 6 ) ] / 9

= [ 28 - 18 ] / 9

= 10 / 9

ANSWER:

STEP-BY-STEP EXPLANATION:

When x is equal to a constant, the graph will be a straight line parallel to the y axis, the straight line is located at the value of the constant, like this:

Answer:

-12

Step-by-step explanation:

3q-6=x q=-2

(3(-2))-6

-6-6=x

-12=x

The inverse Laplace transform of F(s) is:

\(f(t) = e^(-t)\)

To find the inverse Laplace transform of each function, we need to express them in terms of known Laplace transforms. Here are the solutions for each function:

a)

\(F(s) = \large{\frac{2e^{-0.5s}}{s^2-6s+9}}\)

To find the inverse Laplace transform, we first need to factor the denominator of F(s). The denominator factors as (s - 3)². Therefore, we can rewrite F(s) as:

\(F(s) = \large{\frac{2e^{-0.5s}}{(s-3)^2}}\)

Now, we know that the Laplace transform of eᵃᵗ is 1/(s - a). Therefore, the inverse Laplace transform of

\(e^(-0.5s) \: is \: e^(0.5t).\)

Applying this, we get:

\(f(t) = 2e^(0.5t) * t \\

b) F(s) = \large{\frac{s-1}{s^2-3s+2}}\)

We can factor the denominator of F(s) as (s - 1)(s - 2). Now, we rewrite F(s) as:

\(F(s) = \large{\frac{s-1}{(s-1)(s-2)}}\)

Simplifying, we have:

\(F(s) = \large{\frac{1}{s-2}}\)

The Laplace transform of 1 is 1/s. Therefore, the inverse Laplace transform of F(s) is:

\(f(t) = e^(2t) \\

c) F(s) = \large{\frac{s-1}{s^2+s-2}}

\)

We factor the denominator of F(s) as (s - 1)(s + 2). The expression becomes:

\(F(s) = \large{\frac{s-1}{(s-1)(s+2)}}\)

Canceling out the (s - 1) terms, we have:

\(F(s) = \large{\frac{1}{s+2}}\)

The Laplace transform of 1 is 1/s. Therefore, the inverse Laplace transform of F(s) is:

\(f(t) = e^(-2t) \\

d) F(s) = \large{\frac{e^{-s}(s-1)}{s^2+s-2}}\)

We can factor the denominator of F(s) as (s - 1)(s + 2). Now, we rewrite F(s) as:

\(F(s) = \large{\frac{e^{-s}(s-1)}{(s-1)(s+2)}}\)

Canceling out the (s - 1) terms, we have:

\(F(s) = \large{\frac{e^{-s}}{s+2}}\)

The Laplace transform of

\(e^(-s) \: is \: 1/(s + 1).\)

Therefore, the inverse Laplace transform of F(s) is:

\(f(t) = e^(-t)\)

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The value of surd expression x²+ xy + y² by means of simplification of surds is 3.

The solution to the surd  is derived as follows:

x = √3-√2 /√3+√2 and

y = √3+√2 /√3-√2

The value of x²+ xy + y² is calculated as follows:

x² = (√3-√2 /√3+√2)²

x² = 5 - 2√6 / 5 + 2√6

y² = (√3+√2 /√3-√2)²

y² =  5 + 2√6 / 5 - 2√6

xy = (√3-√2 /√3+√2) (√3+√2 /√3-√2)

xy = 1

x²+ xy + y² = (5 - 2√6 / 5 + 2√6) + (5 + 2√6 / 5 - 2√6) + 1

x²+ xy + y² = 147/49

x²+ xy + y² = 3

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Answer:

\(a_1 = -11\\\\a_n = a_{(n - 1)} + 22\)

Step-by-step explanation:

An arithmetic sequence is generally given as:

f(n) = a + (n - 1)d

where a = first term and f(n) = nth term, d = common difference

The explicit formula given is:

f(n) = 11 + 22(n - 1)

The recursive formula is made of two statements, the first term and the formula showing how successive terms are related.

Mathematically, it is given as:

\(a_1 = a\\\\a_n = a_{(n - 1)} + d\)

Therefore, the recursive formula is:

\(a_1 = -11\\\\a_n = a_{(n - 1)} + 22\)

Answer:

The actual answer is g(1)=1

g(n)=g(n−1)+5

​

Step-by-step explanation:

Explanation:

The angles (8x-50) and 86 combine to form a straight angle, which is 180 degrees.

(8x-50) + 86 = 180

8x+(-50+86) = 180

8x+36 = 180

8x = 180-36

8x = 144

x = 144/8

x = 18

In the Marital Instability Over the Life Course project, when men were asked to indicate the cause of their divorce, the most common response from the men was incompatibility. And the most common response from the women was infidelity.

Marital instability is described as including the range of activities from thinking about and discussing divorce to actually filing for either separation or divorce. There are a lot of causes of marital instability, but the most common causes are money problems and lack of intimacy.

Marital Instability Over the Life Course project is a nationwide longitudinal study started in 1980 with funding from the Social Security Administration's Office of Research and Statistics and the National Institute on Aging. This study measures predicting marital instability and divorce and assessing marital quality were developed.

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Answer:

hmmm really interested but hard to get

and not easy

Answer:

{− 4 1/2,  −3/4, 0}

Step-by-step explanation:

Using the test statistic, at the 0.05 level of significance, we do not find sufficient evidence to support the political scientist's claim and hence reject the null hypothesis.

To determine whether there is enough evidence to support the political scientist's claim that the proportion of college students interested in their district's election results is more than 65%, we can perform a hypothesis test using the given data.

Let's set up the null and alternative hypotheses:

H₀: p ≤ 0.65 (Null hypothesis: The proportion of college students interested in election results is 65% or less)

Ha: p > 0.65 (Alternative hypothesis: The proportion of college students interested in election results is more than 65%)

We are given that the sample size is 265 college students, and out of this sample, 180 students say they're interested in their district's election results.

To perform the hypothesis test, we'll calculate the test statistic, which is the z-statistic in this case, using the formula:

z = (p - p₀) / √(p₀(1-p₀)/n)

Where p is the sample proportion, p₀ is the hypothesized proportion under the null hypothesis, and n is the sample size.

Let's calculate the sample proportion:

p = 180 / 265 ≈ 0.679

Now, we can calculate the test statistic:

z = (0.679 - 0.65) / √(0.65(1-0.65)/265) ≈ 1.295

Next, we'll compare the test statistic with the critical z-value at a 0.05 level of significance (α = 0.05) for a one-tailed test.

Using a standard normal distribution table or a statistical calculator, the critical z-value at α = 0.05 is approximately 1.645.

Since the test statistic (1.295) does not exceed the critical z-value (1.645), we fail to reject the null hypothesis. In other words, we do not have enough evidence to support the political scientist's claim that the proportion of college students interested in their district's election results is more than 65% based on this sample.

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Answer:

78 that he added

Step-by-step explanation: not needed

The school's population in the year 2017 is given by the equation A = 1620

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the school's population in 2017 be represented as A

Now , the equation will be

The school's population in 2016 = 1500 students

The percentage of increase in population = 8 %

So , school's population in 2017 A = school's population in 2016 + ( 8/100 ) x school's population in 2016

Substituting the values in the equation , we get

The school's population in 2017 A = 1500 + ( 0.08 x 1500 )

On simplifying the equation , we get

The school's population in 2017 A = 1500 + 120

The school's population in 2017 A = 1620 students

Hence , the population is 1620 students

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Other than the unit of measurement i am genuinely confused by this because (as far as I know) there is no possible way of figuring this out. The unit is obviously meters but I have no idea what the answer is. You should ask your teacher to explain it to you because it's confusing.

Every day mass of sunfish is multiplied by factor of (ln(67/50)/6).

In the given question we have a relation between mass of sunfish and time elapsed t. Relation is

M(t) = (67/50) ^(t/6+4) -----(1)

To find out the factor which multiple by mass of sunfish each day, we can take derivative of M(t) function.

Derivative of a function measures the change in fucyion value with respect to change in its argument. It gives rate of change of function with respect to change in given variable value. So, in this problem derivative of mass function M(t) gives the rate of change of M(t) with respect to time , t .. It is represented by dM(t)/ dt.

dM(t)/ dt =( 67/50)^(t/6+4) (1/6)ln(67/50)

We have the used derivative formula d(a^t)/dt = a^t (1) lna

dM(t)/dt = ln(67/50)/6 (67/50)^(t/6+4)

dM(t)/dt = (ln(67/50))/6 M(t)

We can see here that mass funtion is increased by factor ln(67/50)/6 each day.

#Complete question:

Ocean sunfish are well known for rapidly gaining a lot of weight on a diet based on jellyfish. The relationship between the elapsed time, t, in days, since an ocean sunfish is born, and it’s mass, M(t), in milligrams, is modeled by the following function:

M(t)=(1.34)^t/6+4

Complete the following sentence about the daily rate of change in the mass of the sunfish. Round your answer to two decimal places.Every day, the mass of the sunfish is multiplied by a factor of _______.

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Answer:

m = 2

Step-by-step explanation:

Your function Y=2x- is not properly formed.  However, y = 2x carries enough information to enable you to determine the slope of the graph of your function:  It is m = 2.

The declining scores in 5th grade mathematics standardized tests, specifically in the addition and subtraction of fractions, are causing concerns among school officials.

Step 1: Select Participants: Participants should be selected from all district schools where 5th grade students learn the addition and subtraction of fractions. Select a large and diverse group of participants, which will make your study more reliable and your results will be closer to the truth. The school can also take the help of parents in the study.

Step 2: Designing a Study: In this step, you have to choose a study design for your research study. You can choose a random selection method, that is, select a few schools that are willing to participate in the study, and then divide them into three groups. Each group will use a different program to teach fractions, and this will help determine which program works the best.

Step 3: Conduct the Research: In this stage, the schools will use the programs to teach fractions to their 5th-grade students for the first three months of the next school year. Collect data through student assessments, surveys, and feedback forms from parents and teachers on which program they find the most effective.

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1001 many times will the digit 9 occur in the final product.

First of all,

13×7 × 11 =1001

The result is 4 digit number and hence when multiplied by 3 digit number, it is resulting in the number repetition.

             123× 1001 = 123123

             445 × 1001 = 445445

Based on this logic we can assume that,

             99 × 101 = 9999

             85× 101 = 8585

             20 × 101 = 2020.

2.  Any 3 digit number multiplied with 1001 will result in same pattern. for example:

              123 × 1001 = 123123

              997 × 1001 = 997997

              500× 1001 = 500500

Ans so on.

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Answer:

O x = 75, y = 68 (second option)

Step-by-step explanation:

74° = (x - 1)°

x - 1 = 74

x = 74 + 1

x = 75

40° + (y - 2)° + 74° = 180°

y - 2 = 180 - 40 - 74

y - 2 = 66

y = 66 + 2

y = 68

Answer:

Refer to the attachment

Answer:

x= square root of 2 blah blah blah

Step-by-step explanation:

Answer:

x= square root of two

Step-by-step explanation:

Answer:

\(P(F) = 0.515\)

\(P(M) = 0.485\)

Step-by-step explanation:

Given

\(Female = 51.5\%\)

Solving (a): Probability of running into a female

To do this, we simply convert the given proportion to decimal

\(P(F) = 51.5\%\)

Convert to fraction

\(P(F) = \frac{51.5}{100}\)

\(P(F) = 0.515\)

Solving (b): Probability of running into a male

Represent this with \(P(M)\)

To solve this, we apply the concept of probability complement which states that:

\(p + q = 1\)

In this case:

\(P(F) + P(M) = 1\)

Substitute 0.515 for P(F)

\(0.515 + P(M) = 1\)

Subtract 0.515 from both sides

\(0.515-0.515 + P(M) = 1 - 0.515\)

\(P(M) = 1 - 0.515\)

\(P(M) = 0.485\)