f(x) = 4* and g(x) = 45
Use the values given in the table and the functions to
determine the missing values.
A=
X
f(x)
g(x)
B=
1
-2
C =
16
1
4
-1
UNI->
0
1
1
4
2
2
16
с

Answer:

(2a - 3b) (a + 5b)

hope this helps!

The probability that the player will receive a blackjack from  a player is dealt 2 cards from a standard deck of 52 well-shuffled cards is 0.0483.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.

Here,

Combinations of drawing 1 ace * combinations of drawing 1 face cards / all possible 2 card combinations

4C1 * 16C1 / 52C2

4 * 16 / (52 * 51/2)

=64/1326

=.0483

When a player is dealt two cards from a standard deck of 52 properly shuffled cards, the likelihood that they will get a blackjack is 0.0483.

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Answer:

To find the total distance that Shaylyn drove, we need to add up the distance she drove to the gym, the distance she drove back home, and the distance she drove back to the gym to retrieve her gym bag.

The distance Shaylyn drove to the gym is given as 5 1/4 miles.

The distance she drove back home is also 5 1/4 miles since she retraced her route.

The distance she drove back to the gym to retrieve her gym bag is given as 2 1/2 miles.

So, the total distance that Shaylyn drove is:

5 1/4 + 5 1/4 + 2 1/2 = 13 miles

Therefore, Shaylyn drove a total of 13 miles.

Answer:

16/x+6

Step-by-step explanation:

Answer:

Hello!

__________________

Your answer would be ( B ) 16/x+6

Hope this helped you!

:D

Answer:

not co linear

Step-by-step explanation:

co linear means on the same straight line. CG is on one line. HG is on another. The might be at right angles,, but they are not colinear.

Answer:

3.44 cm

Step-by-step explanation:

When the pendulum is at its lowest point, the vertical length of the pendulum is L.

When the pendulum is at its highest point, the vertical length of the pendulum is  L cos θ.

So the height difference of the pendulum between its lowest and highest points is h = L − L cos θ.

The pendulum swings 72° from right to left, or 36° from the vertical.

The length of the pendulum is 18 cm.

So the height is:

h = L − L cos θ

h = 18 − 18 cos 36°

h = 3.44

The mean is 39.9, median is 32, mode is 22, 52, and 64, and the standard deviation is approximately √2292.635.

Mean:

To find the mean (average), sum up all the values and divide by the total number of values.

22 + 14 + 17 + 64 + 22 + 73 + 18 + 62 + 56 + 36 + 21 + 52 + 64 + 52 + 18 + 6 + 35 + 34 + 22 + 32 = 798

Mean = 798 / 20 = 39.9

Median:

To find the median, we need to arrange the data in ascending order and find the middle value. If there are an odd number of data points, the median is the middle value. If there are an even number of data points, the median is the average of the two middle values.

Arranging the data in ascending order: 6, 14, 17, 18, 18, 21, 22, 22, 22, 32, 34, 35, 36, 52, 52, 56, 62, 64, 64, 73

The middle value is the 10th value, which is 32.

Median = 32

Mode:

The mode is the value(s) that appear most frequently in the data set.

In this case, there are multiple values that appear twice: 22, 52, and 64.

Mode = 22, 52, 64

Standard Deviation:

To calculate the standard deviation, we need to find the variance first. The variance is the average of the squared differences from the mean. The standard deviation is the square root of the variance.

Step 1: Find the squared differences from the mean for each value:

(22 - 39.9)^2 + (14 - 39.9)^2 + (17 - 39.9)^2 + (64 - 39.9)^2 + (22 - 39.9)^2 + (73 - 39.9)^2 + (18 - 39.9)^2 + (62 - 39.9)^2 + (56 - 39.9)^2 + (36 - 39.9)^2 + (21 - 39.9)^2 + (52 - 39.9)^2 + (64 - 39.9)^2 + (52 - 39.9)^2 + (18 - 39.9)^2 + (6 - 39.9)^2 + (35 - 39.9)^2 + (34 - 39.9)^2 + (22 - 39.9)^2 + (32 - 39.9)^2

Step 2: Sum up the squared differences:

3010.71 + 628.71 + 493.71 + 5357.71 + 3010.71 + 9766.71 + 500.71 + 4746.71 + 3278.71 + 13.71 + 348.71 + 158.71 + 5357.71 + 158.71 + 500.71 + 1249.71 + 144.71 + 24.71 + 3010.71 + 181.71 = 42207.4

Step 3: Divide the sum by the total number of values minus 1 (since it's a sample, not the entire population):

42207.4 / (20 - 1) = 2292.635

Step 4: Take the square root of the result:

Standard Deviation = √2292.635

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The answer is C.) \(\left(7^{\frac{1}{3}}\right)^3=7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}=7^{\frac{1}{3}+\frac{1}{3}+\frac{1}{3}}=7^{\frac{3}{3}}=7^1=7\)

what you plug in for calculator

\left(7^{\frac{1}{3}}\right)^3=7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}\cdot \:7^{\frac{1}{3}}=7^{\frac{1}{3}+\frac{1}{3}+\frac{1}{3}}=7^{\frac{3}{3}}=7^1=7

Freud is a stage theorist. Sigmund Freud, the renowned Austrian neurologist and psychoanalyst, is widely recognized as one of the pioneers in the field of psychoanalysis.

He proposed a developmental theory that included psychosexual stages of development. According to Freud, human development progresses through distinct stages, each characterized by a specific focus on different erogenous zones. These stages include the oral stage, stage, phallic stage, latency stage, and genital stage. Freud believed that the way individuals navigate these stages influences their personality and psychological well-being in adulthood.

Although Freud's stage theory has been critiqued and modified over time, his ideas regarding the importance of early childhood experiences and unconscious processes have had a profound impact on psychology and continue to shape our understanding of human development.

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Answer:

-1.25x+2

Step-by-step explanation:

x intercept = 2.5

y intercept = 2

0-y intercept/x intercept-0 = m

0-2.5/2-0 = -1.25

Equation form:

y = m*x+b where b is  the y intercept.

m = -1.25

c = 2

To put it all together,

y = -1.25x+2

The area of the parallelogram is 281.91 m²

A parallelogram is a quadrilateral with opposite sides equal to each other and opposite sides parallel to each other.

Therefore, the area of the parallelogram can be found as follows:

area of the parallelogram = bh

where

Therefore, let's find the height of the parallelogram using trigonometric ratios,

sin 70° = opposite / hypotenuse

sin 70° = h / 15

h = 15 sin 70°

h = 15 × 0.9396

h = 14.0953893118

h = 14.1 metres

Therefore,

area of the parallelogram = 14.1 × 20

area of the parallelogram = 281.907786236

area of the parallelogram = 281.91 m²

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To see statistics by category you would use an aggregate query or a group by query.

To see statistics by category, you would typically use an aggregate query or a group by query.

These types of queries allow you to group data based on a specific category and calculate statistics or summaries for each category.

In SQL, you can use the GROUP BY clause to group data based on a specific column or columns. You can then use aggregate functions like COUNT, SUM, AVG, MAX, MIN, etc., to calculate statistics for each category.

Depending on the specific database management system or programming language you are using, the syntax may vary slightly, but the concept of using an aggregate or group by query remains the same.

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The inequalities together represent all possible combinations of hamburgers and hot dogs the sponsors should prepare each day will be:

x + y ≤ 100 and x ≥ 2y.

Let's use x to represent the number of hamburgers and y to represent the number of hot dogs. Based on the given information, we can write the following system of inequalities:

x + y ≤ 100 (The total number of hamburgers and hot dogs sold should not exceed 100 per day.)

x ≥ 2y (The number of hamburgers sold should be at least twice the number of hot dogs sold.)

These two inequalities together represent all possible combinations of hamburgers and hot dogs the sponsors should prepare each day.

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Answer:

\( \purple { \bold{ \frac{ (x - 3)}{3x - 18} }}\)

Step-by-step explanation:

\( \frac{x + 3}{ {x}^{2} + 7x + 12 } . \frac{ {x}^{2} + x - 12}{3x - 18} \\ \\ = \frac{x + 3}{ {x}^{2} + 4x + 3x + 12 } . \frac{ {x}^{2} + 4x - 3x - 12}{3(x - 6)} \\ \\ = \frac{x + 3}{ {x}(x + 4) + 3(x + 4) } . \frac{ {x}(x + 4) - 3(x + 4)}{3(x - 6)} \\ \\ = \frac{ \cancel{(x + 3)}}{ (x + 4) \cancel{(x + 3)} } . \frac{ (x + 4) (x - 3)}{3(x - 6)} \\ \\ = \frac{1}{ \cancel{ (x + 4)} } . \frac{ \cancel{ (x + 4)} (x - 3)}{3(x - 6)} \\ \\ \red{ \bold{= \frac{ (x - 3)}{3x - 18} }}\\ \\ \)

When the loaded die is rolled, the probability of getting a 1, 2, 4, 5, or 6 is 1/9 each, while the probability of getting a 3 is 5/9.

If a 3 is five times more likely to appear than each of the other five numbers on the die, we can assign the following probabilities to each outcome:

\(P(1) = P(2) = P(4) = P(5) = P(6) = x\) (some common probability)

\(P(3) = 5x\)

Since the sum of the probabilities for all possible outcomes must be equal to 1, we have:

\(P(1) + P(2) + P(3) + P(4) + P(5) + P(6) = x + x + 5x + x + x + x = 9x = 1\)

Solving for x, we get:

\(x = 1/9\)

Therefore, the probabilities for each outcome are:

\(P(1) = P(2) = P(4) = P(5) = P(6) = 1/9\\P(3) = 5/9\)

So when the loaded die is rolled, the probability of getting a 1, 2, 4, 5, or 6 is 1/9 each, while the probability of getting a 3 is 5/9.

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Answer:

the solution to the system of equations is (8,10).

Answer:

It’s 32

Step-by-step explanation:

The complement of the given functions in sum-of-minterms form are: F'(A, B, C, D) = Σ(0, 1, 2, 4, 6, 7, 8, 10, 12, 13, 14) and F'(x, y, z) = Σ(0, 1, 3, 6)

(a) To express the complement of the function F(A, B, C, D) = Σ(3, 5, 9, 11, 15) in sum-of-minterms form, we need to find the minterms that are not included in the given sum-of-products expression. The minterms that are not included are 0, 1, 2, 4, 6, 7, 8, 10, 12, 13, 14.

The complement of F(A, B, C, D) is F'(A, B, C, D) = Σ(0, 1, 2, 4, 6, 7, 8, 10, 12, 13, 14) in sum-of-minterms form.

(b) To express the complement of the function F(x, y, z) = Π(2, 4, 5, 7) in sum-of-minterms form, we need to find the minterms that are not included in the given product-of-sums expression. The minterms that are not included are 0, 1, 3, 6.

The complement of F(x, y, z) is F'(x, y, z) = Σ(0, 1, 3, 6) in sum-of-minterms form.

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Answer:

The answer should be 10 but that is not one of the options

Step-by-step explanation:

Answer:

the following ordered pairs are your coordinates: (-3,-10), (-1, -4), (0,-1), (4,11)

Step-by-step explanation:

We can find these algebraically. First, you need to put your equation into the form y=mx+b. The m is the slope and the b is your y intercept. Once we have that equation, we just plug in the given X values to find their Y counterparts. The domain is simply the X coordinate and the range is the Y. I hope this helps!

Answer:

40%

Step-by-step explanation:

Given parameters:

Number of people surveyed  = 2200

Number of people who said they would buy the car again  = 880

Unknown:

The percentage of people satisfied with the car  = ?

Solution:

The percentage of people satisfied with the car purchase can be determined using the expression below:

Percentage of people satisfied  = \(\frac{Number of people who said they would buy the car again}{Number of people surveyed} x 100\)

Percentage of people satisfied  = \(\frac{880}{2200}\)  x 100  = 40%

The power p that makes the equation dimensionally consistent is 1.

Power can be defined as the amount of work completed in a given time. Watt (W), which is derived from joules per second (J/s), is the SI unit of power.

To determine the power of p that makes the equation dimensionally consistent, we must analyze the dimensions of each term in the equation.

Let's look at the dimensions of the variables involved:

Velocity \((v): [L][T]^{-1}\) (dimension of length divided by time)

Acceleration (a): \([L][T]^{-2}\) (dimension of length divided by time squared)

Distance (x): [L] (dimension of length)

Now, let's analyze each term in the equation:

\(v^2: [L]^2[T]^{-2} \\ 2a: [L][T]^{-2} \\ x^p: [L]^p\)

For the equation to be dimensionally consistent, the dimensions of the left-hand side (v²) should be equal to the dimensions of the right-hand side

\((2ax^p)\)

Comparing the dimensions of the two sides, we have:

\([L]^2[T]^{-2} = [L][T]^{-2}[L]^p\)

On the left-hand side, we have dimensions of length squared divided by time squared, while on the right-hand side, we have dimensions of length to the power of (1 + p) divided by time squared.

Since the dimensions must be equal, we can equate the exponents of the length and time terms:

2 = 1 + p (from the exponents of [L] and [T])

Solving for p:

p = 2 - 1

p = 1

Therefore, the power p that makes the equation dimensionally consistent is 1.

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Through applying the principle of dimensional analysis, it is determined that 'p', the power making the expression v^2 = 2ax^p dimensionally consistent, equals 1.

The given relation is v^2 = 2ax^p. Here, the left side (v^2) has dimensions of (Length^2/Time^2), the right side 2a has dimensions of (Length/Time^2) and x^p has dimensions of (Length^p). For the equation to be dimensionally consistent, the dimensions on both sides must be equal.

Therefore, we have (Length^2/Time^2) = (Length/Time^2) * (Length^p), which simplifies to Length^2 = Length^(1+p). For these two to be equal, p must equal 1.

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Answer:

slope is undefined

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 9 ) and (x₂, y₂ ) = (- 2, - 5 )

m = \(\frac{-5-9}{-2-(-2)}\) = \(\frac{-14}{-2+2}\) = \(\frac{-14}{0}\)

Since division by zero is undefined then the slope is undefined

Answer:

1/(m^4*n^2

Step-by-step explanation:

The given expression is

(m^2*n^-3)/(m^6*n^-1)

Tyrone's approach.

Raising the expression to the 3rd power will not help. It will make the expression more complicated.

Alisha's approach.

(m^2*n^-2)/(m^6*n^-1)

= m^(2-6)*n^(-3+1)

= m^-4*n^-2

= 1/(m^4*n^2)

Alisha's approach will simplify the expression to 1/(m^4*n^2

Answer:

Both are correct. Either rule applied first will have the same result. Both rules will be used either way, and the order in which they are applied does not matter as long as they are applied correctly at each step.

Step-by-step explanation:

EDGE

Answer:

The answer is B. 60 boys

Step-by-step explanation:it would not let me put my reasoning but trust me its correct <3 brainliest please

The area of a square can be found by using the following expression:

where "A" is the area and "l" is the length of each side of the square. The square on this problem has an area of 9 cm², so we can find the sides by replacing A for 9 on the expression above.

To solve it we need to take the square root on both sides of the equation.

Each side of the square has a length of 3 cm, so the sides are 3 cm x 3 cm.

Answer:

4. likas age is 3 less then double maggies age

Step-by-step explanation:

lika age = 3 less then ×2 maggies age

lika age = -3 less then ×2 maggies age

lika = 2×x-3

check:

only 1 and four shows x2 of maggies age

but 1. is +3 more then ×2 maggies age, lika=2×x+3

Answer:

Step-by-step explanation:

Let number be "n".

Half a number added to the number = 240

This means

0.5n + n = 240

1.5n = 240

Divide both sides by 1.5

n = 240/1.5 = 160

For the polygon the individual value of the interior angles.

a) 15 sides is 145°

b) 20 sides is 108°

c) 3 sides is 60°

d) 4 sides is 90°

e) 100 sides is 18°

A regular polygon is one where all sides are the same length and all interior angles are the same. The number of sides of a regular polygon can affect the value of its interior angles.

a) 15 sides: The sum of the interior angles of a regular polygon with 15 sides is equal to 2180 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,

=> 2180 / 15 = 145 degrees per angle.

b) 20 sides: The sum of the interior angles of a regular polygon with 20 sides is equal to 2160 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,

=> 2160 / 20 = 108 degrees per angle.

c) 3 sides: The sum of the interior angles of a regular polygon with 3 sides is equal to 180 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,

=> 180 / 3 = 60 degrees per angle.

d) 4 sides: The sum of the interior angles of a regular polygon with 4 sides is equal to 360 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,

=> 360 / 4 = 90 degrees per angle.

e) 100 sides: The sum of the interior angles of a regular polygon with 100 sides is equal to 1800 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,

=> 1800 / 100 = 18 degrees per angle.

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