Consider the function f(x) = 2x + 6 and the graph of the function g shown below.
The graph of g is the graph of f
Translated units. ,and g(x)=

If we shuffle a deck of cards ,turn over first card, then

(a) "Sample-Space" of this experiment is set of all 52 cards.

(b) Number of outcomes in event that the first card is a heart is 13 .

Part (a) : The "Sample-Space" of this experiment refers to all possible outcomes that occur when "first-card" from a shuffled deck of cards is turned over.

In a "standard-deck" of 52 playing cards, the sample space consist of all 52 cards, which includes 4 suits (hearts, diamonds, clubs, spades) each with 13 cards (Ace - 10, Jack, Queen, King).

So, the sample space of this experiment will be set of all 52 possible cards that could be turned over as "first-card".

Part (b) : The event that "first-card" is a heart will consist of all outcomes where the first card turned over is a heart.

In a "standard-deck" of 52 "playing-cards", there are 13 hearts (Ace of Hearts, 2 of Hearts, 3 of Hearts, ..., 10 of Hearts, Jack of Hearts, Queen of Hearts, and King of Hearts).

Therefore, there are 13 outcomes in the event .

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The given question is incomplete, the complete question is

Shuffle a deck of cards and turn over the first card.

(a) What is the sample space of this experiment?

(b) How many outcomes are in the event that the first card is a heart?

Answer: yes it is

Step-by-step explanation:

The payment she gets after 22 hours of working is $187.

According to the statement

We have to find that the total amount she earned.

So, For this purpose, we know that the

Straight-time pay is the total amount of money you earn in a given pay period.

From the given information:

Sally Barrett, a banjo player for a local band, earns $8.50 per hour.What is her straight-time pay for a week in which she worked 22 hours?

Then

The amount she get as a rate per hour = $8.50

And

The time for which she works =  22 hours

Then

Pay she get after the work of the 22 hours = $8.50 * 22

Then

Pay she get after the work of the 22 hours = $8.50 * 22

Now multiply these to get the answer

Pay she get after the work of the 22 hours = $187

So, The payment she gets after 22 hours of working is $187.

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If joseph sells his home,  profit will he make = (a)  $79720

What is profit and its example?

Profit earned on the house if he sells = $79720

Amount paid by Joseph for his home = $105000

His house has increased its property value by 2.0% every year

So, Property cost after 20 years :

\(Cost = 105000 * (1.02)^{20}\)

Cost = 105000 × 1.4859

Cost = 156020

Also, Due to renovations and improvements to the house, the property cost is increased by $28700

So, Total cost of the house after 20 years = 156020 + 28700

                                                                     = $184720

So, Profit earned on the house if he sells = 184720 - 105000

                                                                      = $79720

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Answer:a)  $79720

Step-by-step explanation:edge

Answer:

3*2 = 6+9 = 15

Step-by-step explanation:

The required number is 2.

Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given that, nine more than three times a number is fifteen

Let the number be a

Converting the statement into mathematical expression,

9+3a = 15

3a = 6

a = 2

Hence, The required number is 2.

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(3) the segment is half the length of the third side and parallel to it.

The midpoint theorem is a geometric theorem which states that if a line segment connects the midpoints of two sides of a triangle, then the segment is parallel to the third side and half its length.

This theorem is also known as the midsegment theorem or the triangle midsegment theorem. The midpoint theorem has various applications in geometry, particularly in relation to triangles and quadrilaterals.

Statement (3) is correct. Statements (1), (2), and (4) are not true for a midpoint

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Answer:

C) 2

Step-by-step explanation:

14 = 4x + 6

14 - 6 = 4x

8 = 4x

8/4 = x

2 = x

The ratios of (a) square kens to square meters (1 ken² / 1 m²) is 3.88

For given question,

We have been given the unit conversion.

A traditional unit of length in Japan is the ken

and 1 ken = 1.97 m

We need to find the the ratios of (a) square kens to square meters.

First we find the square of 1 ken.

⇒ 1 square kens = (1.97 m)²

⇒ 1 square kens = 1.97 × 1.97 m²

⇒ 1 square kens = 3.88 m²                  ..................(1)

And 1 square meters = 1 m²                 ................. (2)

Now we take the ratio of square kens to square meters.

From (1) and (2),

⇒ 1 ken² / 1 m² = 3.88 / 1

⇒ 1 ken² / 1 m² = 3.88

Therefore, the ratios of (a) square kens to square meters (1 ken² / 1 m²) is 3.88

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Answer:

45000000000

Step-by-step explanation:

when multiplying exponents, you multiply base numbers with no exponent (9 and five in this case) and numbers with exponents (10 in this case). 9 X 5 is 45 and 10 to the power of 7 times 10 to the power of 2 is 10 to the power of 9 or 1000000000. 45 X 1000000000 is 45000000000.

The standard form of (5 x 10³) x (9 x \(10^7\)) is 450000000000.

The standard form of (7 x \(10^5\)) ÷ (2 x 10²) is 3500.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

(5 x 10³) x (9 x \(10^7\))

= 5 x 9 x \(10^{3 + 7}\)

= 45 x \(10^{10}\)

= 450000000000

(7 x \(10^5\)) ÷ (2 x 10²)

= (7 x \(10^5\))/(2 x 10²)

= 7/2 x \(10^{5 -2}\)

= 3.5 x 10³

= 35/10 x 1000

= 3500

Thus,

The standard values are 450000000000 and 3500.

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Answer: I am pretty sure they are (1, -6) (5, -4) (4, -7) (5, -9) and (9, -7) mb if I'm wrong but good luck!

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

The relationship between these numbers is as follows:

((previous number)) x 2 - 5

so

7*2-5 = 9

9*2-5 = 13

etc

therefore

37*2-5 is 69

(a) Testing the operations on different input values:

For operation, ♡ we will take two values that are 2 and -3 respectively,

Putting the values in the function, we get

♡(2) = 3(2 + 1)+ 1 = 10

and

♡(-3) = 3(-3 + 1)+ 1 = -5

For operation ♠ we will take two values that are 3 and 0 respectively,

Putting the values in the function, we get

♠(3) = -1(6 - 2(3)) + 10 + 3 = 7

and

♠(0) = -1(6 - 2(0)) + 10 + 0 = 16

(b) Algebraically manipulate each of these functions through distribution and combining like terms to simplify their expressions

For operation ♡,

♡(x) = 3(x + 1) + 1

= 3x + 3 + 1

= 3x + 4

For operation ♠,

♠(x) = -1(6 - 2x) + 10 + x

= -6 + 2x + 10 + x

= 3x + 4

By distributing and combining like terms, we notice that both functions result in the same simplified expression.

Therefore, ♡ and ♠ are equivalent operations.

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Answer:

b

Step-by-step explanation: I have the answer key

Answer: D. Subtract 4 from both sides

Step-by-step explanation:

So, when you're solving algebraic problems, you always want to get x by itself. So the next step would be to subtract the 4 from both sides.

5x + 4 = 14

5x = 10

Then you would divide each side by 5.

5x = 10

x = 10

Hope this helps!!! :)

D. Subtract 4 from both sides

To solve for x, you need to eliminate it. We can start to do this by subtracting 4 on each side.

5x+4=14

-4 -4

This leaves you with... 5x+10

Now that we have this equation, to completely eliminate x, you need to divide both sides by 5.

5x=10

/5 /5

Now you have your answer,

×=2

Answer:

A) x≤-5

Step-by-step explanation:

4x+12≤-8

4x≤-20

x≤-5

Answer:x <_>Step-by-step explanation:

Answer:

16 grams

Step-by-step explanation:

multiply 8.0 grams x 2 cups.

Answer: 16 grams

Step-by-step explanation: 8.0 times 2 is 16. So you drank 16 grams of sugar in 2 cups of tea

Answer:

26.28

Step-by-step explanation:

First, add the side lengths of what you know. 6 + 6 + 8 = 20.

Then, find the circumference of the circle, BUT make sure you divide it by 2 because it is a semicircle in the figure.

The formula is 2\(\pi\)r, so plug in the radius = 2

So the circumference is 4\(\pi\), then divide by 2 to get 2

20 + 2\(\pi\) = 26.28

Step-by-step explanation:

we know all 3 values of trapezium length. so let's find out the circumference of half circle

circumference of circle= 2pi r

circumference of half circle = (180/360)× 2pi r

therefore it's equal to pi r

circumference = 22/7 ×2 (diameter is 4 so radius is 2)

circumference of half circle = 44/7

Total perimeter of the figure= 8+6+6+(44/7)

=20 + 6.28

= 26.28

Round of to nearest tenth place = 26.3

a) The probability of failing to meet the specification limit of 45-pounds tensile strength 15.87%.

b) The number of parts that would not meet the specification is 7,935.

a) Given that the tensile strength of a metal part is normally distributed with mean 40 pounds and standard deviation 5 pounds.

We have to find the probability of failing to meet the specification limit of 45-pounds tensile strength.

Using the standard normal distribution, we can find the probability of failing to meet the specification limit of 45 pounds as follows:

z = {45 - 40}/{5}

= 1

The probability of failing to meet the specification limit of 45 pounds is the probability that the standardized variable Z is greater than 1, which is given by:

P(Z > 1) = 0.1587

Therefore, the probability of failing to meet the specification limit of 45-pounds tensile strength is 0.1587 or 15.87%.

b) If the probability of failing to meet the specification is 0.1587, the probability of meeting the specification limit is

1 - 0.1587 = 0.8413

.If 50,000 parts are produced, then the expected number of parts that meet the specification limit is:

0.8413* 50,000 =  42,065.

Therefore, the number of parts that would not meet the specification is: 50,000 - 42,065 = 7,935.

Hence, about 7,935 parts would not meet the specification.

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Answer:a

Step-by-step explanation:

Choice 4: P(7∩Q) = P(7) × P(Q)

Explanation in detail:

P(7∩Q) denotes the chance of selecting the secret code "7Q."

If A and B are distinct events, then

P(A∩B) = P(A) × P(B)

Let A be the occurrence of selecting a number between 0 and 9 and

Let B be the occurrence of selecting an alphabet.

A and B are clearly distinct entities.

Therefore,

P(7∩Q) = P(7) × P(Q)

Hope this helps!

The population distribution of the duration of your phone calls is likely to be bell-shaped.

A bell-shaped distribution, also known as a normal distribution, is a symmetric distribution that is characterized by its mean and standard deviation. In this case, the mean of the duration of phone calls is 2.4 minutes and the standard deviation is 1.8 minutes.

Since the mean and standard deviation are both known, it is possible to determine the percentage of phone calls that fall within a certain range of durations using the properties of the normal distribution. This indicates that the distribution is likely to be bell-shaped.

The normal distribution is a common probability distribution that arises naturally in many situations, including measurements of physical quantities such as height, weight, and duration. It is characterized by its bell-shaped curve, which is symmetric around the mean.

The mean of the distribution is the point of highest probability, and the standard deviation determines the spread of the population distribution. In this case, the mean duration of phone calls is 2.4 minutes, which means that the most common duration of phone calls is around 2.4 minutes.

The standard deviation of 1.8 minutes indicates that the duration of phone calls is relatively spread out, with some calls lasting much longer or shorter than the mean. Overall, the bell-shaped normal distribution is a useful tool for understanding the variability in the duration of phone calls.

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The inequality that correctly describes the number of ounces of water, w, that tom drinks each day is d. 64<w.

Amount of water that the bottle can hold = 32 ounces

Bottles of water consumed = 2

A mathematical comparison and representation of the connection between two expressions is known as an inequality. It can be regarded as a generalisation of an equation and is denoted by signs such as <, > and =.

Tom consumes more than two complete bottles of water every day. Since each bottle can carry up to 32 ounces of water, we can describe Tom's daily water consumption as -

= w > 2 × 32

Therefore,

Simplifying the right side of the inequality:

w > 64

Complete Question:

Toms water bottle can hold up to 32 ounces of water. each day he drinks more than 2 full bottles of water. which inequality correctly describes the number of ounces of water, w, that tom drinks each day?

a. w>2

b. 32<w

c. w = 64

d. 64<w

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Answer: D and F

Step-by-step explanation:

Based on these observations, option (d) 30 seems to be the most reasonable choice for a longer distance down the fairway.

To determine how far down the fairway the ball hits the ground, we need to consider the horizontal range of the golf ball. The range is the horizontal distance traveled by the ball before it hits the ground.

The range can be calculated using the formula:

Range = (Initial Velocity)² * sin(2 * Launch Angle) / g

Where:

Initial Velocity is the initial velocity of the golf ball (180 ft/sec).

Launch Angle is the angle at which the ball is hit off the tee.

g is the acceleration due to gravity (approximately 32.2 ft/sec²).

Since you haven't provided the launch angle for each club, we cannot determine the exact range for each one. However, we can make some general observations based on the given answer choices:

(a) 15: This option implies a lower launch angle, which would likely result in a shorter range.

(b) 20: Similar to option (a), a lower launch angle would generally result in a shorter range.

(c) 25: This option suggests a moderate launch angle, which could correspond to a reasonable range.

(d) 30: A higher launch angle typically leads to a longer range, so this option may result in a greater distance.

Based on these observations, option (d) 30 seems to be the most reasonable choice for a longer distance down the fairway.

However, without specific launch angles for each club, we cannot determine the exact answer.

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Without a specific statement provided, it is not possible to determine whether descriptive or inferential statistics were used. Please provide the statement in question for a more accurate analysis.

In order to determine whether descriptive or inferential statistics were used in a given statement, we need the specific statement or context. Descriptive statistics involves summarizing and describing data using measures such as mean, median, and standard deviation. It focuses on analyzing and presenting data in a meaningful and concise manner.

On the other hand, inferential statistics involves drawing conclusions and making inferences about a population based on sample data. It involves hypothesis testing, confidence intervals, and generalizing the results from the sample to the larger population. Without the statement or context, it is not possible to determine whether descriptive or inferential statistics were used.

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Answer:

182:242

Step-by-step explanation:

Reduce the ratio by its halves (50 percent) and simplify.

Although for this case, you could reduce it even further, because this is a ratio, not the true height.

If this is a test, I would not recommend that.

Answer:

question is wrong unit of volume is cm cube not cm

The present age of the son is 12 years.

Here, we have

Let the present age of the husband be x

and the present age of the wife be y

The average age of a husband and his wife was 25 years when they were married 7 years ago.

According to the given information,

x + y = 25 × 2 + 7= 57 ... (1)

Also, we let the present age of the son be z years.

Then the sum of their present ages is x + y + z.

And the present average of the ages of the husband, wife, and son is 23 years.

Hence, x + y + z = 23 × 3 = 69 ... (2)

Now, we Subtract equation (1) from equation (2), we get:

z = 69 - 57= 12

Therefore, the present age of the son is 12 years.

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Answer:

170

Step-by-step explanation: