Wayne graphed the following linear function on an (x,y) coordinate plane.

f(x) = -5.4x+12.6

What is the y intercept of the graph of this function ?​

Answer:

2

Step-by-step explanation:

The zeroes of a function, or the x-intercepts, are just where the line intersects the x-axis. For this function, you can see the line intersects the x-axis at these 3 points:

x = -4

x = 0

x = 5

Those 3 are the zeroes of this function. 2 is not one of them, so that is your answer.

The answers to the questions are:

a. the straight-line method of depreciation

\(\frac{cost of machine - salvage}{useful life} * period\)

= (240000 - 60000) / 4 * (9 / 12)

= $33,750

The debit is 33750 as well as the credit

b.  the units-of-production method of depreciation

(240000 - 60000) / 60000 * 12000

= $36000

c. the double-declining balance method of depreciation

(24000 *2 /4) * (9/12)

= $90000

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60 to the negative 3 power

Answer:

-60

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let's call the angle of elevation of the sun "θ". We want to find the value of θ.

First, we can find the length of the part of the flagpole that is casting the shadow by using trigonometry. We can define:

h = height of the flagpole above the ground

d = length of the shadow

α = angle of inclination of the flagpole (which is the same as the angle between the ground and the sun's rays, since the flagpole is vertical)

Then, we can use the tangent function to relate these variables:

tan(α) = h/d

Rearranging, we get:

h = d tan(α)

We know that the height of the flagpole is 25 feet, and the length of the shadow is 12 feet. So:

25 = 12 tan(α)

Solving for tan(α), we get:

tan(α) = 25/12

Now we can use the inverse tangent function (also called arctangent) to find α:

α = tan^(-1)(25/12)

α ≈ 65.14 degrees

This is the angle between the ground and the sun's rays, as seen from the flagpole. To find the angle of elevation of the sun, we need to subtract α from 90 degrees (since the sun's rays are perpendicular to the ground). So:

θ = 90 - α

θ ≈ 24.86 degrees

Therefore, the angle of elevation of the sun is approximately 24.86 degrees.

Answer:

7x + y + 26

Step-by-step explanation:

5x+ 1 2 +3y+ 1 4 +2x−2y

5x + 2x + 3y - 2y + 12 + 14

7x + y + 26

the least-squares solution of a x = b is the vector in the column space of a closest to b. then the statement is true

​ Aleast- squares solution of is a vector such that for all in .

The statement is true because the general​ least-squares problem attempts to find an that maximizes .

The above statement is actually the one that validates the least-square solution statement.

Hence , the least-squares solution of a x = b is the vector in the column space of a closest to b .then the statement is true

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The probability that a randomly selected 3-year-old is enrolled in daycare is 0.404 or 40.4%.

According to the information provided, 40.4% of 3-year-olds are enrolled in daycare. This means that out of all the 3-year-olds in the population, 40.4% of them attend daycare. Therefore, the probability of randomly selecting a 3-year-old who is enrolled in daycare is 0.404 or 40.4%.

Probability is a measure of the likelihood of an event occurring. In this case, the event is a randomly selected 3-year-old being enrolled in daycare. The probability is calculated by dividing the number of favorable outcomes (3-year-olds enrolled in daycare) by the total number of possible outcomes (all 3-year-olds). Since the given information states that 40.4% of 3-year-olds are enrolled in daycare, we can directly interpret it as the probability of selecting a randomly chosen 3-year-old who is enrolled in daycare. Therefore, the probability is 0.404 or 40.4%.

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The 90% confidence interval for the mean repair cost of the dryers is estimated to be $79.24 to $97.44. This means we can be 90% confident that the true mean repair cost falls within this range.

1: The critical value for a 90% confidence interval, using a t-distribution with 13 degrees of freedom, is approximately 1.770 (rounded to three decimal places).

2: The 90% confidence interval is calculated as the sample mean ($88.34) ± (1.770 * $5.141). This gives us a range of approximately $79.24 to $97.44 (rounded to two decimal places) for the mean repair cost.

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Answer:

1/4 = 0.25

Step-by-step explanation:

Answer:

2/8

Step-by-step explanation:

i don't know what to put here but 1/4 is = to 2/8

  c

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

the line has no slope

y = 5

Answer:

b

Step-by-step explanation:

A

Step-by-step explanation:

ik trust me

Answer:

A. The prepaid phone plan will have a steeper line and lower y-intercept.

Step-by-step explanation:

did it on edge 2020

Answer:

x=1

Step-by-step explanation:

subract 4.3 from both sides. add x to both sides. divide by 2.2 from both sides

The solution to the equation 1.2x + 4.3 = 2.1 - x is x = -1.

Given is an equation 1.2x + 4.3 = 2.1 - x, we need to solve for x,

To solve the equation 1.2x + 4.3 = 2.1 - x, we can follow these steps:

1. Combine like terms on both sides of the equation:

1.2x + x = 2.1 - 4.3

2. Simplify the equation:

2.2x = -2.2

3. Divide both sides of the equation by 2.2 to isolate x:

x = -2.2 / 2.2

4. Simplify the right side of the equation:

x = -1

Therefore, the solution to the equation 1.2x + 4.3 = 2.1 - x is x = -1.

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Hey there!

2(6 * 4) + 2(6 * 2.4n) + 2(4 * 2.4n) 

= 2(24) + 2(14.4n) + 2(9.6n)

= 48 + 28.8n + 19.2n

= 48 + 48n

= 48n + 48

Thus, your answer should be: 48n

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

The negative sign indicates that the force is acting opposite to the direction of motion of the aircraft. Thus, the average force that must act on the aircraft to bring it to a stop is approximately -474000 N in mks units correct to three significant figures.

The formula to calculate the average force is: average force = change in momentum / time taken

Here, the change in momentum of the aircraft = m × v, where m is the mass of the aircraft and v is the final velocity of the aircraft.

The initial velocity of the aircraft is 52.1 m/s and it comes to a stop. Thus, the final velocity of the aircraft is 0 m/s.

The distance covered by the aircraft is 991 m.

Mass of the aircraft, m = 33,872 kg

Initial velocity, u = 52.1 m/s

Final velocity, v = 0 m/s

Distance covered, s = 991 m

The time taken to stop can be calculated using the formula:v^2 = u^2 + 2as

0 = (52.1 m/s)^2 + 2a(991 m)

Solving for acceleration, a = -14.032 m/s^2

Now, the change in momentum of the aircraft = m × v = 33,872 × (0 - 52.1)

= -1,763,699.2 kg m/s

The time taken to stop can be calculated as follows: u = a × t + v052.1

= (-14.032 m/s^2) × t + 0

t = 52.1 / 14.032

t ≈ 3.719 s

Therefore, the average force on the aircraft is:

average force = change in momentum / time taken

= -1,763,699.2 / 3.719

= -474048.33 N

≈ -474000 N

The negative sign indicates that the force is acting opposite to the direction of motion of the aircraft. Thus, the average force that must act on the aircraft to bring it to a stop is approximately -474000 N in mks units correct to three significant figures.

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Answer:

the probability of rolling 6 is 16 or 16.7%.

the probability of rolling 7 is 0.

Step-by-step explanation:

7 is 0 because its impossible to roll a 7 on one number cube.

Research has shown that when administering a survey, respondents who are asked questions in which they have little or no knowledge are likely to respond with inaccurate or incomplete information.

This can happen due to several reasons, such as the respondents feeling embarrassed or ashamed of admitting their lack of knowledge, or simply guessing the answer to avoid appearing uninformed. Graeff's (2003) study highlights the importance of carefully designing survey questions to ensure that they are clear and easy to understand for all respondents, regardless of their level of knowledge on the topic. It is also important to provide respondents with options such as "I don't know" or "Not applicable" to encourage honest and accurate responses. Administering surveys can be a valuable tool for gathering information, but it is crucial to consider the limitations and potential biases that may arise. Conducting thorough research and using appropriate survey methods can help to ensure that the data collected is reliable and useful for making informed decisions.

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The probability of winning the raffle is 0.2%, calculated by dividing 10 tickets purchased by 5,000 total tickets sold.

The probability of winning the raffle is calculated by dividing the number of tickets purchased by the total number of tickets sold. In this case, the probability of winning is calculated by dividing 10 by 5,000, which equals 0.002. This can also be written as a percentage, which is 0.2%. This means there is a 0.2% chance of winning the raffle with the 10 tickets purchased.

To calculate the probability of winning the raffle, we first need to know the total number of tickets sold. In this case, the total number of tickets sold is 5,000. Next, we need to know the number of tickets purchased. In this case, the number of tickets purchased is 10. To calculate the probability of winning the raffle, we divide the number of tickets purchased (10) by the total number of tickets sold (5,000). This equation can be written as 10/5,000. This equals 0.002, or 0.2%. This means that there is a 0.2% chance of winning the raffle with the 10 tickets purchased.

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The area of the sidewalk is 84.78 square meters if a circular flower bed is 23 m in diameter and has a 3 m wide circular sidewalk.

A circular flower bed is 23 m in diameter and has a circular sidewalk around it that is 3 m wide. The area of the sidewalk is square meters. The formula used: The area of the circle is given by:

πr²

Here, r = (d + 2w)/2, where d is the diameter and w is the width.

Substitute the values of d, w, and π in the above formula to get the area of the circular sidewalk.

Diameter of circular flower bed = 23 m

Width of circular sidewalk = 3 m

Radius of circular flower bed, r = (23+3)/2 = 13 m

Radius of circular sidewalk = (23+3+3)/2 = 14 m

Area of the circular sidewalk = π(14² - 13²) m²= π(14+13)(14-13) m²= 3.14(27) m²= 84.78 m²

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Answer:

y = 90°

Step-by-step explanation:

By remote interior angle theorem:

\(2x + 70 \degree = 110 \degree \\ \\ 2x = 110 \degree - 70 \degree \\ 2x = 40 \degree \\ \\ x = \frac{40 \degree}{2} \\ \\ x = 20 \degree \\ \\ again \: by \: remote \: interior \: \\angle \: theorem \\ \\ x + y = 110 \degree \\ \\ 20 \degree + y = 110 \degree \\ \\ y = 110 \degree - 20 \degree \\ \\ \huge \red{ \boxed{y = 90 \degree }}\)

Answer:

10 feets

Step-by-step explanation:

Given that:

Angle, θ = 4π/3

Radius, r = 2.5 feets

To obtain how Far Reagan traveled, we calculate the Length of the arc, s

s = r*θ

s = 2.5 feets * 4π/3

s = 10π/3

s = 10.4719

To the nearest foot ; distance traveled by Reagan is 10 feets

After solving the expression (x^2+3x-5)-(4x^2+3x-6) = -3x^2+1. So the option B is correct.

In the given question, we have to find which expression is equivalent to (x^2+3x-5)-(4x^2+3x-6).

The given options are:

A. 5x^2+6x-11

B. -3x^2+1

C. 3x^2+1

D. -3x^4+6x^2+1

To find  which expression is equivalent to (x^2+3x-5)-(4x^2+3x-6). We firstly simplify the given expression.

To simplify the expression, we multiply the bracket of right hand side by minus sign. As we know that when we multiply the variable with minus sign the sign will change.

(x^2+3x-5)-(4x^2+3x-6) = x^2+3x-5-4x^2-3x+6

(x^2+3x-5)-(4x^2+3x-6) = -3x^2+1

After solving the expression (x^2+3x-5)-(4x^2+3x-6) = -3x^2+1. So the option B is correct.

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Answer:

A=4.

Step-by-step explanation:

Note: In the expression of area the first term should be \(Ax^2\).

It is given that area of a rectangular floor of your house is \(Ax^2+5x-2\) and the length is \((x+2)\) units.

We know that, area of a rectangle is

\(Area=length\times width\)

Since length of the rectangle is \((x+2)\), therefore \((x+2)\) is a factor of \(Ax^2+5x-2\) and the value of \(Ax^2+5x-2\) is 0 at x=-2.

\(A(-2)^2+5(-2)-2=0\)

\(4A-10-2=0\)

\(4A-12=0\)

\(4A=12\)

Divide both sides by 4.

\(A=4\)

Therefore, the value of A is 4.

Answer:

D

Step-by-step explanation:

av= absolute value

av of 238 = 238

av of -28 = 28

av of -14 = 14

238 (+) 28 (-) 14 = 252

238 + 28 = 266

266 - 14 = 252

therefore 252 is the correct answer

hope this helped ^^

The local arcade has 50 different games for people to play. Fifteen games are racing games. What percent are racing games?There are 50 different games in the local arcade. Fifteen games are racing games. Therefore, the percentage of racing games is calculated by dividing the number of racing games by the total number of games and multiplying the result by 100.

Let's take a look:Percentage of Racing Games = Number of Racing Games / Total Number of Games x 100 Percentages can be represented in fractions, decimals, and percents. We know that 15 out of 50 games are racing games. The fraction 15/50 is equal to 3/10 because both the numerator and the denominator can be divided by 5.

Finally, we can convert this fraction into a percent by multiplying it by 100.3/10 x 100 = 30%Therefore, the percentage of racing games in the arcade is 30%.

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we have 90% confidence interval for μ so the answer will be: B) μ=40±1.638(4)

To calculate the confidence interval, we use the formula:

Confidence Interval = sample mean ± (critical value) × (standard error)

The critical value is determined based on the desired confidence level and the sample size. In this case, with a 90% confidence level and a sample size of 4, the critical value is 1.638.

The standard error is calculated as the square root of the sample variance divided by the square root of the sample size. Since the sample variance is given as 16 and the sample size is 4, the standard error is 2.

Plugging in the values, we get:

Confidence Interval = 40 ± 1.638 × 2

Simplifying, we have:

Confidence Interval = 40 ± 3.276

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Answer:

Factor by grouping.

(2x+1)(3x−4)

Step-by-step explanation:

Answer:

  A, B, E are irrational

Step-by-step explanation:

You want to know which expressions result in an irrational number from the given expressions involving rational and irrational numbers.

  M + N = √2 +√5 . . . . irrational

  MN = (√2)(√5) = 10 . . . . irrational

  S + T = 2 + 5 = 7 . . . . rational

  ST = 2·5 = 10 . . . . rational

  N + T = √5 + 5 . . . . irrational

  N² = (√5)(√5) = 5 . . . . rational

__

Additional comment

When in doubt, you can use your calculator to evaluate these expressions. If the decimal fraction uses all available digits, the number is likely irrational.

If the number cannot be expressed exactly without using symbols (√, ∛, π, e), then it is irrational. The attached calculator display shows this nicely.

The correct answer is a) Osmotic pressure.

What is the equivalent expression?

Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.

Osmotic pressure is indeed a colligative property, which means it depends on the concentration of solute particles in a solution and not on the nature of the solute itself. Osmotic pressure is the pressure required to prevent the flow of solvent molecules into a solution through a semipermeable membrane.

On the other hand, options b), c), and d) are all colligative properties:

b) Elevation of a boiling point: Adding a non-volatile solute to a solvent increases the boiling point of the solution compared to the pure solvent.

c) Freezing point: Adding a non-volatile solute to a solvent decreases the freezing point of the solution compared to the pure solvent.

d) Depression in freezing point: Adding a solute to a solvent lowers the freezing point of the solvent, causing the solution to freeze at a lower temperature than the pure solvent.

Therefore, the correct answer is a) Osmotic pressure.

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