Pls ans I will beg u I will mark u as brilliant who ever answers by explaining and first only u will give brilliant

We can conclude that -5 is not the domain of f o g.

A function is a relation between a dependent and independent variable.

Mathematically, we can write → y = f(x) = ax + b.

Given are two functions -

f(x) = 5x - 7

g(x) = √(x - 2)

We can write the functions as -

f o g = f(g{x}) = 5√(x - 2) - 7

Now, refer to the graph attached. At {x} = - 5, the function does not exist. So, we can write that -5 is not the domain of f o g.

Therefore, we can conclude that -5 is not the domain of f o g.

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Answer:

8 is the answer

Step-by-step explanation:

-3x+9=-15

9+-15=-24 (a plus and a minus always equals a minus)

-3x=-24

-24 divided by -3 = 8

Answer:

-12

Step-by-step explanation:

Answer:

88.7 rounded and 88.66 not rounded

Answer:

C and D

Step-by-step explanation:

\(\cos(2x)\\=\cos(x+x)\\=\cos(x)\cos(x)-\sin(x)\sin(x)\\=\cos^2(x)-\sin^2(x)\\=\cos^2(x)-(1-\cos^2(x))\\=2\cos^2(x)-1 \,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option D}\\=2(1-\sin^2(x))-1\\=2-2\sin^2(x)-1\\=1-2\sin^2(x)\,\,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option C}\)

The number of minutes spent higher than 38 meters above the ground on the Ferris wheel ride is approximately 1.0918 minutes.

To solve this problem, we need to determine the angular position of the Ferris wheel when it is 38 meters above the ground.

The Ferris wheel has a diameter of 50 meters, which means its radius is half of that, or 25 meters.

When the Ferris wheel is at its highest point, the radius and the height from the ground are aligned, forming a right triangle.

The height of this right triangle is the sum of the radius (25 meters) and the platform height (4 meters), which equals 29 meters.

To find the angle at which the Ferris wheel is 38 meters above the ground, we can use the inverse sine (arcsine) function.

The formula is:

θ = arcsin(h / r)

where θ is the angle in radians, h is the height above the ground (38 meters), and r is the radius of the Ferris wheel (25 meters).

θ = arcsin(38 / 29) ≈ 1.0918 radians

Now, we know the angle at which the Ferris wheel is 38 meters above the ground.

To calculate the time spent higher than 38 meters, we need to find the fraction of the total revolution that corresponds to this angle.

The Ferris wheel completes one full revolution in 2 minutes, which is equivalent to 2π radians.

Therefore, the fraction of the revolution corresponding to an angle of 1.0918 radians is:

Fraction = θ / (2π) ≈ 1.0918 / (2π)

Finally, we can calculate the time spent higher than 38 meters by multiplying the fraction of the revolution by the total time for one revolution:

Time = Fraction \(\times\) Total time per revolution = (1.0918 / (2π)) \(\times\) 2 minutes

Calculating this expression will give us the answer in minutes.

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Answer: Two-way frequency tables are especially important because they are often used to analyze survey results. Two-way frequency tables are also called contingency tables. Two-way frequency tables are a visual representation of the possible relationships between two sets of categorical data.

Step-by-step explanation:

Answer:

0.25 = 25% probability of choosing white shoes and a green shirt

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

The probability of choosing a shoe is independent of the shirt. So we find each separate probability, and then multiply them.

Probability of choosing white shoes:

2 shoes option, one of which is white. So

\(P(A) = \frac{1}{2}\)

Probability of choosing a green shirt:

2 shirts options, one of which is green. So

\(P(B) = \frac{1}{2}\)

What is the probability of choosing white shoes and a green shirt?

\(P(A \cap B) = P(A)*P(B) = \frac{1}{2} \times \frac{1}{2} = \frac{1}{4}\)

0.25 = 25% probability of choosing white shoes and a green shirt

Case 1: a = 0; b = 0 --> Real Number

Case 2: a = 0; b ≠ 0 --> Non-Real Complex Number

Case 3: a ≠ 0; b = 0 --> Real Number

Case 4: a ≠ 0; b ≠ 0 --> Non-Real Complex Number

For each case, we can determine whether the expression a + bi represents a real number or a non-real complex number based on the values of a and b.

Case 1: a = 0; b = 0

In this case, both a and b are zero. The expression a + bi simplifies to 0 + 0i, which is equal to 0. Therefore, the expression represents a real number.

Case 2: a = 0; b ≠ 0

Here, a is zero, but b is nonzero. The expression a + bi becomes 0 + bi, where b is a nonzero real number multiplied by the imaginary unit i. Since the expression contains a nonzero imaginary part, it represents a non-real complex number.

Case 3: a ≠ 0; b = 0

In this case, a is nonzero, but b is zero. The expression a + bi simplifies to a + 0i, which is equal to a. As there is no imaginary part in the expression, it represents a real number.

Case 4: a ≠ 0; b ≠ 0

Here, both a and b are nonzero. The expression a + bi contains both a real part (a) and an imaginary part (bi). Thus, it represents a non-real complex number.

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Answer:

\(f(2.1) = 0.512195\)

\(f(2.05) = 0.506173\)

\(f(2.01)=0.501247\)

\(f(2.001) = 0.500125\)

\(f(2.0001) = 0.500012\)

\(f(1.9) = 0.487179\)

\(f(1.95) = 0.493671\)

\(f(1.99) = 0.498747\)

\(f(1.999) = 0.499875\)

\(f(1.9999) = 0.499987\)

Step-by-step explanation:

Given

\(f(x) = \frac{x^2 - 2x}{x^2 - 4}\)

Solve for f(x) for all given values of x

First, we need to simplify f(x)

\(f(x) = \frac{x^2 - 2x}{x^2 - 4}\)

\(f(x) = \frac{x(x - 2)}{x^2 - 2^2}\)

\(f(x) = \frac{x(x - 2)}{(x- 2)(x + 2)}\)

\(f(x) = \frac{x}{x + 2}\)

When \(x = 2.1\)

\(f(x) = \frac{x}{x + 2}\)

\(f(2.1) = \frac{2.1}{2.1 + 2}\)

\(f(2.1) = \frac{2.1}{4.1}\)

\(f(2.1) = 0.512195\)

When \(x = 2.05\)

\(f(x) = \frac{x}{x + 2}\)

\(f(2.05) = \frac{2.05}{2 + 2.05}\)

\(f(2.05) = \frac{2.05}{4.05}\)

\(f(2.05) = 0.506173\)

When \(x = 2.01\)

\(f(x) = \frac{x}{x + 2}\)

\(f(2.01)=\frac{2.01}{2.01 +2}\)

\(f(2.01)=\frac{2.01}{4.01}\)

\(f(2.01)=0.501247\)

When \(x = 2.001\)

\(f(x) = \frac{x}{x + 2}\)

\(f(2.001) = \frac{2.001}{2.001 +2}\)

\(f(2.001) = \frac{2.001}{4.001}\)

\(f(2.001) = 0.500125\)

When \(x = 2.0001\)

\(f(x) = \frac{x}{x + 2}\)

\(f(2.0001) = \frac{2.0001}{2.0001 + 2}\)

\(f(2.0001) = \frac{2.0001}{4.0001}\)

\(f(2.0001) = 0.500012\)

When \(x = 1.9\)

\(f(x) = \frac{x}{x + 2}\)

\(f(1.9) = \frac{1.9}{1.9 + 2}\)

\(f(1.9) = \frac{1.9}{3.9}\)

\(f(1.9) = 0.487179\)

When \(x = 1.95\)

\(f(x) = \frac{x}{x + 2}\)

\(f(1.95) = \frac{1.95}{1.95 + 2}\)

\(f(1.95) = \frac{1.95}{3.95}\)

\(f(1.95) = 0.493671\)

When \(x = 1.99\)

\(f(x) = \frac{x}{x + 2}\)

\(f(1.99) = \frac{1.99}{1.99 + 2}\)

\(f(1.99) = \frac{1.99}{3.99}\)

\(f(1.99) = 0.498747\)

\(f(x) = \frac{x}{x + 2}\)

When \(x = 1.999\)

\(f(x) = \frac{x}{x + 2}\)

\(f(1.999) = \frac{1.999}{1.999 + 2}\)

\(f(1.999) = \frac{1.999}{3.999}\)

\(f(1.999) = 0.499875\)

When x = 1.9999

\(f(x) = \frac{x}{x + 2}\)

\(f(1.9999) = \frac{1.9999}{1.9999 + 2}\)

\(f(1.9999) = \frac{1.9999}{3.9999}\)

\(f(1.9999) = 0.499987\)

Note that all values of f(x) are approximated to 6 decimal places

Answer:

52

Step-by-step explanation:

RTQ is 52 because if PTR is a right angle, right angles equal 90 degrees. So if PTQ is 38 degrees, we subtract 38 from 90 to get RTQ. 90-38 equals 52.

Answer:

52 degrees

Step-by-step explanation:

right angle = 90

90-38=52

So RTQ = 52 degrees

x is the number of gifts to be wrapped

the cost at the department store is $5 per gift

cost at the department store = 5x

the customer can pay his niece a flat fee of $50

cost of the niece: 50

cost of the niece= cost at department store

5x=50

x=50/5

x=10

y= cost

x=is the number of gifts to be wrapped

the system of equation is

y=5x ---- equation of the department store

y=50 --- equation of the niece

the graph will be

as we can see the two lines intercept when the number of gifts is equal to 10

Answer: It is multiplying by 6 each time

Answer:

The slope is 0

Step-by-step explanation:

Slope = (y2 - y1) / (x2 - x1)

Where the values of x and y are from the known points

Here the points are (-2,2) and (-1,2)

So we have (x1,y1) = (-2,2) and (x2,y2) = (-1,2)

This means, x1 = -2 , x2 = -1 , y1 = 2 and y2 = 2

We now plug these values into the slope formula

Recall slope = (y2 - y1) / (x2 - x1)

==> plug in x1 = -2 , x2 = -2 , y1 = 2,  y2 = 2

Slope = (2 - 2) / (-1 - (-2)

==> remove parenthesis

Slope = (2-2)  / (-1 + 2)

==> simplify addition and subtraction

Slope = 0 / 1 = 0

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

Explanation:

Let's say the shed comes in 40 equal pieces. Each piece takes the same amount of time to assemble. Why am I picking 40? Because 8*5 = 40.

This will allow us to rewrite the fractions with a common denominator.

So Jack can build 8/40 of the shed in the same amount of time Kyle can build 25/40 of the shed.

Instead of writing fractions (which honestly are a pain to deal with), I'm going to write "8 pieces" and "25 pieces" to represent "8/40" and "25/40" respectively. Just keep in mind that there are 40 pieces total.

So again, Jack can assemble 8 pieces in the time it takes Kyle to assemble 25 pieces.

---------------

The ultimate goal is to have Kyle assemble 40 pieces while Jack puts together some unknown number of pieces (some number between 8 and 40). Let's say it's x.

We can then form this proportion

\(\frac{\text{Jack's initial 8 pieces}}{\text{x pieces}}=\frac{\text{Kyle's initial 25 pieces}}{\text{goal of 40 pieces}}\)

which simplifies or cleans up to

5/x = 25/40

-----------------

Let's solve for x using cross multiplication

8/x = 25/40

8*40 = x*25

320 = 25x

25x = 320

x = 320/25

x = 12.8

So in the time it takes Kyle to assemble all 40 pieces, Jack can put together 12.8 pieces of the shed. However, we can't have Jack put together some fractional piece, because each "piece" is as small as it gets. We can't get any smaller. It would be like saying a fractional part of an atom or a lego block.

So we'll round 12.8 down to 12.

Jack can assemble 12 pieces in the time it takes Kyle to assemble 40 pieces.

Let's then convert this back to fraction form

12 pieces = 12/40 of a shed = 3/10 of a shed.

The value of the required probabilities are:

(a) E[X] = 6

(b) E[X|Y=1] = 1/36

(c) E[X|Y=5] = 5/36.

To find the values of P{X=x, Y=1} and P{X=x, Y=5}, we need to understand the concept of conditional probability and the properties of geometric distributions.

First, let's recall some properties of geometric distributions:

The probability of success (rolling a specific number on a fair die) in a single trial is denoted by p, and for a fair die, p = 1/6.

The probability of failure (not rolling the specific number) in a single trial is denoted by q, and for a fair die, q = 1 - p = 5/6.

The geometric distribution is the number of trials required to achieve the first success (rolling the specific number) in a sequence of independent trials.

For the random variable X (number of rolls necessary to obtain a 6), X follows a geometric distribution with parameter p = 1/6.

Now, let's find the values of P{X=x, Y=1} and P{X=x, Y=5}.

(a) E[X]:

The expected value of X (denoted as E[X]) for a geometric distribution is given by E[X] = 1/p. For a fair die, p = 1/6, so E[X] = 1 / (1/6) = 6.

(b) E[X|Y=1]:

This represents the expected number of rolls necessary to obtain a 6 given that the first roll resulted in a 5.

To find E[X|Y=1], we need to consider the conditional probability.

The event "Y=1" represents that the first roll resulted in a 5.

The probability of rolling a 6 in the next roll (X=1) given that Y=1 is P{X=1, Y=1}.

Since the rolls are independent, P{X=1, Y=1} = P{X=1} * P{Y=1}.

The probability of rolling a 6 in a single roll (P{X=1}) is 1/6, and the probability of rolling a 5 in a single roll (P{Y=1}) is also 1/6 (since we want the first roll to be a 5).

So, P{X=1, Y=1} = (1/6) * (1/6) = 1/36.

Now, to find E[X|Y=1], we need to sum the products of the number of rolls (x) and the corresponding probabilities for all possible values of x, given that Y=1:

E[X|Y=1] = ∑(x * P{X=x, Y=1})

Since the geometric distribution is defined over all non-negative integers, we need to consider all possible values of x (0, 1, 2, 3, ...).

E[X|Y=1] = (0 * P{X=0, Y=1}) + (1 * P{X=1, Y=1}) + (2 * P{X=2, Y=1}) + ...

Now, we already know that P{X=1, Y=1} = 1/36. For all other values of x, P{X=x, Y=1} = 0 because we cannot have any rolls beyond the first roll when Y=1 (since Y=1 means the first roll was a 5).

So, E[X|Y=1] = (1 * 1/36) + (0 * 0) + (0 * 0) + ... = 1/36.

(c) E[X|Y=5]:

This represents the expected number of rolls necessary to obtain a 6 given that the first roll resulted in a 5 followed by four rolls that resulted in other numbers (not 6).

Similarly to part (b), we need to consider the conditional probability.

The event "Y=5" represents that the first five rolls resulted in numbers other than 6.

The probability of rolling a 6 in the next roll (X=1) given that Y=5 is P{X=1, Y=5}.

Again, since the rolls are independent, P{X=1, Y=5} = P{X=1} * P{Y=5}.

The probability of rolling a 6 in a single roll (P{X=1}) is 1/6, and the probability of rolling a number other than 6 in a single roll (P{Y=5}) is 5/6 (since we want the first five rolls to be numbers other than 6).

So, P{X=1, Y=5} = (1/6) * (5/6) = 5/36.

To find E[X|Y=5], we need to sum the products of the number of rolls (x) and the corresponding probabilities for all possible values of x, given that Y=5:

E[X|Y=5] = ∑(x * P{X=x, Y=5})

Similarly to part (b), for all values of x other than 1, P{X=x, Y=5} = 0 because we cannot have any rolls beyond the first roll when Y=5 (since Y=5 means the first five rolls were other numbers).

So, E[X|Y=5] = (1 * 5/36) + (0 * 0) + (0 * 0) + ... = 5/36.

Hence, The value of the required probabilities are:

(a) E[X] = 6

(b) E[X|Y=1] = 1/36

(c) E[X|Y=5] = 5/36.

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Answer:

I believe the answer is A. true

Answer:

True

Step-by-step explanation:

Answer:

we need a picture of the problem

Step-by-step explanation:

this is the working

The answer will be one and three eighth cups

Step-by-step explanation:

hope this helps

Lets have the younger person be x.
The older person will be 8x + 3.

The sum of their ages is 21, so we can get this equation:

x + (8x+3) = 21

9x+3 = 21
Subtract 3 from both sides
9x = 21

x=3 --> The younger person is 3 years old, and now we can substitute that for the older person (8x+3):

(3 * 8) + 3 = 27

The younger person is 3 years old, and the older person is 27.

Answer:

6:8

Step-by-step explanation:

if you double the question you get your answer

Answer:

(4×3)÷2+1+2×6

=12÷2+1+2×6

=6+1+2×6

=6+1+12

=19

is the answer

Answer:

19

Step-by-step explanation:

(4*3)/2+1+2*6

=12/2+1+2*6

=6+1+2*6

=6+1+12

=19

Answer:

0.1

Step-by-step explanation:

Nate's package is 8 kilograms. This is because, if there are 1,000 grams in 1 kilogram, 8,000/ 1,000= 8 Therefore, the mass of his package is 8 kilograms.

Have a Merry Christmas!

Answer:

(-1, 0)

Step-by-step explanation:

output = 0 the function’s graph will have an x-intercept

The solution is : (-1, 0), (2, 0), (3, 0) are the x-intercepts of the continuous function f(x).

The zero of the function is where the y-value is zero. The zero of a function is any replacement for the variable that will produce an answer of zero. Graphically, the real zero of a function is where the graph of the function crosses the x‐axis; that is, the real zero of a function is the x‐intercept(s) of the graph of the function.

here, we have,

we know that,

x-intercept of a line is defined by a point where y = 0.

So the point in the form of (x, 0) will be the x-intercept of the given continuous function.

From the table attached,

For x = -1, f(-1) = 0

For x = 2, f(2) = 0

For x = 3, f(3) = 0

Points (-1, 0), (2, 0) and (3, 0) are the x-intercepts of the continuous function f(x).

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Answer:

The answers to your questions are given below.

Step-by-step explanation:

A. Determination of the length.

Length (cm) = 32

Length (m) =?

Length (mm) =?

I. Determination of the length in m.

100 cm = 1 m

Therefore,

32 cm = 32 × 1 m / 100 cm

32 cm = 0.32 m

II. Determination of the length in mm

1 cm = 10 mm

Therefore,

32 cm = 32 cm × 10 mm / 1 cm

32 cm = 320 mm

B. Determination of the height.

Height (m) = 1.58 m

Height (cm) =?

Height (mm) =?

I. Determination of the height in cm.

1 m = 100 cm

Therefore,

1.58 m = 1.58 m × 100 cm / 1 m

1.58 m = 158 cm

II. Determination of the height in mm

1 m = 1000 mm

Therefore,

1.58 m = 1.58 m × 1000 mm / 1 m

1.58 m = 1580 mm

C. Determination of the width.

Width (mm) = 36 mm

Width (m) =?

Width (cm) =?

I. Determination of the width in m.

1000 mm = 1 m

Therefore,

36 mm = 36 mm × 1 m / 1000 mm

36 mm = 0.036 m

II. Determination of the width in cm

10 mm = 1 cm

Therefore,

36 mm = 36 mm × 1 cm / 10 mm

36 mm = 3.6 cm

D. Determination of the length.

Width (mm) = 105 mm

Width (m) =?

Width (cm) =?

I. Determination of the width in m.

1000 mm = 1 m

Therefore,

105 mm = 105 mm × 1 m / 1000 mm

105 mm = 0.105 m

II. Determination of the width in cm

10 mm = 1 cm

Therefore,

105 mm = 105 mm × 1 cm / 10 mm

105 mm = 10.5 cm

E. Determination of the length.

Length (m) = 2 m

Length (cm) =?

Length (mm) =?

I. Determination of the length in cm.

1 m = 100 cm

Therefore,

2 m = 2 m × 100 cm / 1 m

2 m = 200 cm

II. Determination of the length in mm

1 m = 1000 mm

Therefore,

2 m = 2 m × 1000 mm / 1 m

2 m = 2000 mm

Summary:

Item >>>>>>>> m >>>> cm >>>> mm

A. Lenght >>> 0.32 >> 32 >>>> 320

B. Height >>> 1.58 >> 158 >>>> 1580

C. Width >>> 0.036 >> 3.6 >>>> 36

D. Length >> 0.105 >> 10.5 >>> 105

E. Width >>> 2 >>>>>> 200 >>> 2000