C
Examine the worked problem and solve the equation.
The solution is x =
1
= 9
3
1
+ 3 = 9+
28
3
1

The equation of the cosine function is y = -(1/3) cos(2/3 x - 2π/3) - 5.

An example of a trigonometric function is the cosine function, which connects the angle of a right triangle to the ratio of the next side to the hypotenuse. It describes, in other words, how the cosine of an angle changes as the angle changes.

The algebraic formula for a cosine function is y = A cos(Bx - C) + D, where A denotes amplitude, B frequency, C phase shift, and D vertical shift. A smooth, continuous curve that oscillates between a maximum and a minimum value over a predetermined amount of time is the graph of a cosine function.

The general form for a cosine function is:

y = A cos(Bx - C) + D

where:

A = amplitude

B = 2π/period

C = phase shift

D = vertical shift

Using the given values, we can write the equation of the cosine function as:

y = (1/3) cos(-(2π/3)(x-π)) - 5

We have an amplitude of 1/3, a horizontal reflection (indicated by the negative sign in front of the parentheses), a period of 3π (so B = 2π/3), a phase shift of π (so C = π), and a vertical shift of -5 (so D = -5).

This can be simplified as:

y = -(1/3) cos(2π/3 x - 2π/3) - 5

or

y = -(1/3) cos(2/3 x - 2π/3) - 5

Therefore, the equation of the cosine function is y = -(1/3) cos(2/3 x - 2π/3) - 5.

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Answer:

35/5=7 ez math why are you asking

Answer:

Step-by-step explanation:

y=k/x

(2,6) lies on it.

6=k/2

k=6×2=12

y=12/x

consider any value of x and find corresponding value of y.

there are infinite points.

e.g.,

x=1,y=12/1=12

so (1,12) lies on it.

similarly take any value of x and find value of y.

Answer:

a. 4. Kyles's systolic blood pressure is 1.75 standard deviations above the average systolic blood pressure for men.

b. His blood pressure is of 149.5 millimeters

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

a. Which answer(s) is/are correct?

His blood pressure has a zscore of 1.75, which means that it is 1.75 standard deviation above the mean value. So the correct answer is given by option 4.

b. Calculate Kyle's blood pressure.

We have to find X when \(Z = 1.75, \mu = 125, \sigma = 14\). So

\(Z = \frac{X - \mu}{\sigma}\)

\(1.75 = \frac{X - 125}{14}\)

\(X - 125 = 1.75*14\)

\(X = 149.5\)

His blood pressure is of 149.5 millimeters

Answer:

Exponential functions

Step-by-step explanation:

:D

Answer:

Exponential Equations

These equations have variables in the exponent. Such as this one:

\(63+5^{x}\)

Answer:

29%

Step-by-step explanation:

210-150/210 = 60/210 or 6/21

Now we have to find the percent out of 100 so we have to find out 100/21 to see what we have to multiply by to get to 100 so we can do the same with the 2 (numerator) so 1000/21= 4 16/21

then we have to multiply the 6 by 4 16/21 which is about 29%

Answer:

8/√2 + 2√50​

8√2/2 + 2√50

4√2 + 10√2

14√2

Answer:

m = 4

n = 5

Step-by-step explanation:

\(m + 8 = 3m\\\\m - 3m = - 8\\\\-2m = - 8\\\\m = 4\)

\(2n - 1 = 9 \\\\2n = 9 + 1\\\\2n = 10\\\\n = 5\)

Answer:

The answer is -20/3

Step-by-step explanation:

(6² + 2²) ÷ 4 - 10

36 + 4 ÷ (-6)

40/(-6) = -20/3

Thus, The answer is -20/3

-TheUnknownScientist 72

Answer:

0

Step-by-step explanation:

6^2 + 2^2 = 36 + 4 = 40      Evaluate what is in the brackets.

40/4 = 10                              Divide by 4

10 - 10 = 0                            Subtract 10

The answer is zero.

Step-by-step explanation:

i hope this can help you.

In the polynomial function, the number of roots of the graph is 3

Polynomial function:

In math, polynomial function refers a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc.

Given,

Here we need to identify the number of roots of the graph.

If we have the graph like the following,

Then to identify the roots, we have to look at the graph start from negative infinity and end at positive infinity.

While we looking into the given graph, we have identified that, the degree of polynomial must be odd.

And in graph, we can see it cuts at three points

=> (-6,0)    (-2,0)    (-1,0)

This are the points on the graph has three x-intercept.

We know that, the number of x-intercept is equivalent to real roots of the polynomial.

Therefore, graph is cubic polynomial because it has three x-intercept.

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Answer:

The equation is P - 42 = 12

P = 54

Step-by-step explanation:

Answer:

To find the answer, we can use the formula:

number of won games / total number of games played = percentage won

Let x be the total number of games played. We know that the percentage won is 65%, or 0.65 as a decimal. So we can set up the equation:

number of won games / x = 0.65

To solve for x, we can cross-multiply:

number of won games = 0.65x

We want to find a whole number value for x that makes sense. One way to do this is to try each answer choice and see if it gives a whole number value for the number of won games. Let's start with choice A:

If the team played 22 games, then the number of won games is:

number of won games = 0.65 * 22 = 14.3

This is not a whole number value, so we can rule out choice A.

We can repeat this process for each answer choice. When we try choice C, we get:

number of won games = 0.65 * 18 = 11.7

This is also not a whole number value, so we can rule out choice C.

When we try choice D, we get:

number of won games = 0.65 * 14 = 9.1

This is also not a whole number value, so we can rule out choice D.

Therefore, the only remaining answer choice is B, which gives us:

number of won games = 0.65 * 20 = 13

This is a whole number value, so the team could have played 20 games in total last season.

Answer:

b) The value is a statistic because it is a numerical measurement describing some characteristic of a sample

Answer:

5.24

Step-by-step explanation:

Answer: x= -2/9

Step-by-step explanation:

-12x-2(x+9)=5(x+4)

= -12x-2x+18=5x+20

= -14x+18=5x+20

= -9x+18=20

= -9x=2

/-9    /-9

x= -2/9

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

We have,

To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.

Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:

∫ (log(1 + (u-1)²) / u²) du.

Expanding the numerator, we have:

∫ (log(1 + u² - 2u + 1) / u²) du

= ∫ (log(u² - 2u + 2) / u²) du.

Now, let's split the logarithm using the properties of logarithms:

∫ (log(u² - 2u + 2) - log(u²)) / u² du

= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.

We can simplify the second integral:

∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.

Using the power rule for integration, we can integrate both terms:

∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.

Now, let's focus on the second integral:

∫ (log(u) / u³) du.

This integral does not have a simple closed-form solution in terms of elementary functions.

It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).

Therefore,

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

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The equation 2 log₅ x = log₅ 4 + log₅ 9 has two solutions: x = 6.

To solve the equation 2 log₅ x = log₅ 4 + log₅ 9, we can use logarithmic properties to simplify and find the value of x.

Using the properties of logarithms, we can rewrite the equation as follows:

2 log₅ x = log₅ (4 * 9)

Next, we simplify the right side:

2 log₅ x = log₅ (36)

Now, we can use the property of logarithms that states logₐ b = c is equivalent to aᶜ = b. Applying this property, we have:

x² = 36

Taking the square root of both sides, we get:

x =  √36

Since the square root of 36 can be either positive or negative, we have two possible solutions:

x = 6

It's important to note that when working with logarithmic equations, we must always check if the obtained solutions satisfy the domain restrictions of the original equation. In this case, since the logarithm has a base of 5, the solution x = 6.

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Look at the values on the axes of the graph.

Step-by-step explanation:

Domain can be found by looking at the x-axis of a graph. Range can be found by looking at the y-axis of a graph. You have to find at what point on the axis is the graph stopping.

For example, if I wanted the domain of y=x, I would say it is all real numbers. Why? Because when we look along the x-axis, from left to right, we can see that it continues going until infinity. That means that there are no stopping points in the graph of y=x.

It’s D. $427

I gotchu my guy

Answer:

y = 12 x = 12\(\sqrt{3}\)

Step-by-step explanation:

This is a 60, 90, 30. It's a special triangle.

2z = 24

z = 12

If x = z\(\sqrt{3}\)

then x = 12\(\sqrt{3}\)

y = z itself

So y = 12

Answer:

AC=52-37=15

CD=30-15=15

DB=52-30=22

BC=DB+CD=15+17=32

So BC equals to 32

Answer:

what's are the graphs??

Answer:

They are both correct.

Step-by-step explanation:

4(-7)(-1) equals 28. 4(7) is also equal to 28, meaning that Josh is correct. 2 negatives equals a positive, so (-28)(-1) will also be 28. This means Evangelina is also correct.

Answer:

Step-by-step explanation:

The first friend would get $60,000

The second friend would get $15,000

The third friend would get $30,000

The equation that represents the cost, c, of n sets is c = 63.74n

from the question, we have the following parameters that can be used in our computation:

Each volleyball set costs $63.74.

Let the total number of sets be n

So we have

Cost of n = 63.74 * n

This gives

c = 63.74n

Hence, the equation is c = 63.74n

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The linear equation obtained is y = 0.3X + 18.3

A linear equation is an equation that can be written in the form ax + b = 0, where a and b are real numbers and x represents an unknown variable. The solutions of linear equations are often graphed on a coordinate plane, forming a straight line. Linear equations can be used to model many real-world situations, such as population growth, the rate of change of a physical quantity, or the total cost of an item. Linear equations can also be used to solve systems of equations, where several equations must be solved simultaneously.

Given that data :
x = year ;
y = trunk diameter, in inches
Year ________trunk diameter
1 __ 18.6
3 __ 19.2

5 __ 19.8
7 __ 20.4
9 ___21.0
11 __ 21.6
13 __ 22.2
Using the linear regression calculator :
The linear equation obtained is :
y = 0.3X + 18.3
Where ;
Slope = 0.3 ; intercept, c = 18.3

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