x y

40 -30

61 -45

74 -60


What is the x-intercept of the line?

( , )


its on khan academy

hahahahahahahahahahahahahahah

The number is 16

PS: had to type more than 20 words

Answer:

16

Step-by-step explanation:

80 X 20 = 16 questions answered correctly.

Answer:

what

Step-by-step explanation:

On solving the provided question, we can say that by equation 15+4 = total minutes, they can talk 19 minute

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

x= total minutes -4    the 1st 4 minutes are included in the .30

total cost = .3 + .18 x  

\(3 = .3 +.18 x\\2.7 = .18x\\2.7/.18 = x\\15 = x\)

x = total minutes -4

15+4 = total minutes

they can talk 19 minute

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The value of question are 65+\(\underline{115}\)=180, \(11x+\underline{48}=180^o\), \(11x=\underline{132}\) and \(x=\underline{12}\).

In the given question we have to find the value of missing term.

(1) 65+......=180

(2) 11x+.......=180

(3) 11x=.........

(4) x=........

To solve this question we have to use some theorem.

Firstly solving the first question.

As we know that the angle of straight line is 180\(^o.\)

So from the diagram

\(65+z=180^o\)

Subtract 65 on both side

\(65+z-65=180^o-65\)

\(z=115\)

Hence, 65+\(\underline{115}\)=180.

Now finding the value of second question.

Using Alternate Exterior Angles Theorem

According to theorem the angle beside 11x - 17 is 65.

As we know that the angle of straight line is 180\(^o.\)

So  11x-17+65=180\(^o.\)

Simplifying

So \(11x+\underline{48}=180^o\)

Now finding the value of third question.

From the second question answer we get \(11x+{48}=180^o\)

Now solving this equation to find the value of 11x

Subtract 48 on both side

\(11x+{48}-48=180^o-48\)

\(11x=132\)

Hence, \(11x=\underline{132}\)

Now solving the fourth question.

To find the value of fourth question we further simplify the answer of third question.

\(11x=132\)

Divide by 11 on both side

\(\frac{11}{11}x=\frac{132}{11}\)

\(x=12\)

Hence, \(x=\underline{12}\)

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Answer:

8-15

8-23

and

15+23

15+8

Step-by-step explanation:

The standard deviation can be calculated to be $1.19, which shows that the responses varied by an average of $1.19 from the mean.

To answer this question, we can use the z-score formula to calculate the percentage of people willing to pay between $4.37 and $8.75 for a sandwich. The z-score formula is z = (x - μ) / σ, where x is the value we want to find the z-score for, μ is the mean, and σ is the standard deviation. We start by finding the z-score for the lower bound of $4.37. Using the information given, we get:

z = ($4.37 - $6.56) / $1.19 = -1.98

Next, we find the z-score for the upper bound of $8.75. Again using the information given, we get:

z = ($8.75 - $6.56) / $1.19 = 2.01

Now that we have our z-scores, we can use a z-score table to find the percentage of people willing to pay between $4.37 and $8.75 for a sandwich. For the lower boundary, we find that the z-score of -1.98 corresponds to a percentage of 2.5

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If x and y are integers and x>4 and y<10 then the smallest negative value of x - y is -4.

What is inequality?

In mathematics, a relationship between two expressions or values that are not equal to each other is called 'inequality'. So, a lack of balance results in inequality.

If two things are not equal, the first value can be either greater than (>) or lesser than (<) or greater than equal to (≥) or less than equal to (≤) the second value.

According to the given question:

The given variables x and y are subjected to inequality > and < respectively. This implies the values each variable can have.

As given x > 4 ⇒ x = 5, 6, 7, 8, 9, 10, ....

Similarly y < 10 ⇒ y = 9, 8, 7 , 6, 5, ..., 0, -1, -2, -3, -4, ....

Let's work out the smallest value of x - y using trial and error method

        So, x - y = 5 - (-2) = 7

        7 is not a negative value.

        Therefore y cannot have negative values as subtraction operation

        will lead to positive value.

        x - y = 5 - 6 = -1

        - 1 is a negative number but not the smallest as y can attain values

        more than 6.

        x - y = 5 - 9 = -4

        - 4 is the smallest negative value

Therefore if x and y integers subjected to the given inequality, the smallest negative value x - y can attain is -4.

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The solution of the given exponential equation is equal to option a. x = -2.

The exponential equation is equals to,

\(2^{3x}\) = \(4^{( x - 1 )}\)

Simplify the above equation we get,

⇒ \(2^{3x}\) =  \(4^{( x - 1 )}\)

⇒ \(2^{3x}\) = \(2^{2} ^{( x - 1 )}\)

⇒ \(2^{3x}\)= \(2^{2x-2}\)

⇒ \(2^{3x}\) = 2²ˣ × 2⁻²

Now rewrite the equation as,

\(2^{3x}\) = 2²ˣ × 2⁻²

Simplify further by using the fact that

\(2^{3x}\)= 8ˣ

and 2²ˣ =  4ˣ

This implies,

8ˣ = 4ˣ ×  2⁻²

Solve for x by taking the logarithm of both sides of the equation with base 2,

log₂(8ˣ) = log₂(4ˣ ×  2⁻²)

Using the laws of logarithms, simplify the right-hand side of the equation,

⇒ log₂(8ˣ) = log₂(4ˣ) + log₂( 2⁻²)

⇒ x log₂(8) = x log₂(4) - 2

⇒ 3x = 2x - 2

⇒ x = -2

Therefore, the only real solution to the exponential equation \(2^{3x}\) = \(4^{( x - 1 )}\) is option (a) x = -2.

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The above question is incomplete, the complete question is:

Solve the exponential equation.

2^(3x) = 4^(x-1 )

a) -2

b) -1

c)  0

1 hour 12 minutes it take Ted and Jacob to clear the field together. Therefore, the correct answer is option C.

Given that, Ted can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours.

Now, the equation for the given situation is

1/2 + 1/3 = 1/t

3/6 + 2/6 = 1/t

(3+2)/6 = 1/t

5/6 = 1/t

t = 6/5

t = 1.2

0.2 hours in minutes = 0.2×60 = 12

So, the time is 1 hour 12 minutes

Therefore, the correct answer is option C.

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"Your question is incomplete, probably the complete question/missing part is:"

Ted cab clear a football field of debris in 3 hours.Jacob can clear the same field in 2 hours. When they work together, the sutuation can be modeled by the equation, where t is the number of hours it would take to clear the field together.

1/3 +1/2= 1/t

How long will it take Ted and Jacod to clear the field together?

a) 12 minutes

b) 50 minutes

c) 1 hour 12 minutes

d) 2 hours 30 minutes

We can make predictions about the cost of fire damage based on the distance from the house to the nearest fire station. This information can be useful to insurance companies, fire departments, and homeowners in determining the risk of fire damage and the appropriate level of insurance coverage needed.

In this particular study, the insurance company has determined that a linear relationship exists between the cost of fire damage in major residential fires and the distance from the house to the nearest fire station. The cost of fire damage is the dependent variable, while the distance from the house to the nearest fire station is the independent variable.
For this study, a sample of 20 recent fires in a large suburb of a major city was selected. For each fire, the following variables were recorded:
- the cost of fire damage in thousands of dollars (the dependent variable)
- the distance from the house to the nearest fire station in miles (the independent variable)
It is expected that the cost of fire damage increases as the distance from the house to the nearest fire station increases. This is because, as the distance from the fire station increases, the response time also increases, which can result in more damage being done to the property.
To analyze this data, a linear regression model can be used. The model will help to determine the nature and strength of the relationship between the two variables. The model will generate an equation in the form of y = mx + b, where y is the cost of fire damage, x is the distance from the house to the nearest fire station, m is the slope of the line, and b is the y-intercept.

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The required function is P(t)=50000 + 5000t.

In this problem we need to form the function of the population in a town.

Here it is given that the initial population of the town is 50000.

the rate at which the population increases is 5000 per year.

So, the increase for the first year will be 5000. And the population will be 55000.

Then again for the next year the growth will be 5000 and the population will be 50000 + (5000×2)

        = 60000

So we can see clearly that the population is varying with time and we can write the function as P(t)=50000 + 5000t where t is the time in years.

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Personal car would be the best option to manage both tasks efficiently. While the train is a reliable mode of transportation, it may have fixed schedules that might not align perfectly with Patrick's needs.

On the other hand, using his personal car provides more flexibility and allows him to tailor the departure time according to his daughter's coding class schedule.

If Patrick decides to take the train, he would need to check the train schedule to see if there are convenient departure and arrival times for both the soccer game and the coding class. This option would require planning and coordination to ensure he arrives at the game on time and can pick up his daughter afterward.

Using his personal car gives Patrick the freedom to leave at a time that accommodates both the soccer game and the coding class. He can drop off his daughter at her coding class, attend the soccer game, and then pick her up afterward without being restricted by train schedules.

Considering the circumstances, Patrick might find it more convenient to use his personal car to manage both tasks effectively and ensure he can attend his son's soccer game while also ensuring his daughter arrives at her coding class on time.

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Answer:

B

Step-by-step explanation:

There are 220 pages in carly's novel. At 4 hours, there is 80 pages left, but monica has 120

Answer: 4h/5

Step-by-step explanation:

The value of expression 7 (y - 4) - 1 if, y = 11 is 48, so option C is correct.

At least two numbers or variables, one or more arithmetic operations, and a statement are all required components of a mathematical expression.

The term "expression" or "mathematical expression" refers to a finite collection of symbols that are well-formed in line with context-dependent criteria.

Given:

One less than seven times difference between a number and four,

The value of y = 11,

The above statement can be written as shown below,

7 (y - 4) - 1

Put the value of y as shown below,

7 (y - 4) - 1 = 7 (11 - 4) - 1

7 (y - 4) - 1 = 7 × 7 - 1

7 (y - 4) - 1 = 49 - 1

7 (y - 4) - 1 = 48

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The correct option is; 4: this contradicts the Mean Value Theorem since there exists a c on (1, 7) such that f '(c) = f(7) − f(1) (7 − 1) , but f is not continuous at x = 3.

The function being used is;

f(x) = (x - 3)⁻²

If we separate this function according to x, we obtain;

f'(x) = -2/(x - 3)³

Finding all c values f(7) − f(1) = f '(c)(7 − 1).is our goal.

This suggests that;

0.06 - 0.25 = -2/(c - 3)³ x 6

-0.19 =  -12/(c - 3)³

(c - 3)³ = 63.157

c = 6.98

If the Mean Value Theorem holds for this function, then f must be continuous on [1,7] and differentiable on (1,7).

But when x = 3, f is not continuous, hence the Mean Value Theorem's prediction is false.

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The complete question is-

Let f(x) = (x − 3)−2. Find all values of c in (1, 7) such that f(7) − f(1) = f '(c)(7 − 1). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) c = Based off of this information, what conclusions can be made about the Mean Value Theorem?

Answer:2mph

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

(r + 3) + (4r - 28) = 45

5r - 25 = 45

5r = 70

r = 14

if you wanna check

14 + 3 + 4(14) - 28 = 45

45 = 45

Answer:

SA = 10,800 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 40

w = 60

h = 30

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 60(40) + 30(40) + 30(60) )

SA = 2 ( 2400 + 1200 + 1800 )

SA = 2 ( 5400 )

SA = 10,800 ft²

If this answer helped you, please leave a thanks!

Have a GREAT day!!!

Answer:

x = 4

Step-by-step explanation:

Given the equation:

\(\displaystyle{4^x - 4^0 - 255=0}\)

We know that \(\displaystyle{a^0 = 1}\) where a ≠ 0. Therefore,

\(\displaystyle{4^x - 1 - 255=0}\\\\\displaystyle{4^x - 256=0}\)

Add both sides by 256, so we have:

\(\displaystyle{4^x=256}\)

Factor 256 out:

256 = 2 x 128 = 2 x 2 x 2⁶ = 2⁸

Therefore, 256 = 2⁸.

\(\displaystyle{4^x=2^8}\)

Convert to the same base:

\(\displaystyle{\left(2^2\right)^x=2^8}\\\\\displaystyle{2^{2x} = 2^8}\)

When two sides have same base, solve the equation through exponents:

\(\displaystyle{2x=8}\)

Divide both sides by 2, so we have:

\(\displaystyle{x=4}\)

Answer:

Option C is correct option.

Step-by-step explanation:

We need to determine which number has a terminating decimal expansion.

Terminating decimal

A decimal number that contains a finite number of digits after the decimal point is called terminating decimal .

for example 0.123 is terminating decimal as it has finite number of digits after decimal point.

Now, we will look at each option to find the terminating decimal

A. 2/7

Converting in decimal form: 0.28571....

As it doesn't contain finite numbers after decimal point, so 2/7 is not terminating decimal.

B.√12

Converting in decimal form: 3.46410....

As it doesn't contain finite numbers after decimal point, so √12 is not terminating decimal.

C. 5/8

Converting in decimal form: 0.625

As it contain finite numbers after decimal point, so 5/8 is terminating decimal.

D. 2/11

Converting in decimal form: 0.18181....

As it doesn't contain finite numbers after decimal point, so 2/11 is not terminating decimal.

Therefore, Option C is correct option.

Answer:

Option C is correct option.

Step-by-step explanation:

We need to determine which number has a terminating decimal expansion.

Terminating decimal

A decimal number that contains a finite number of digits after the decimal point is called terminating decimal .

for example 0.123 is terminating decimal as it has finite number of digits after decimal point.

Now, we will look at each option to find the terminating decimal

A. 2/7

Converting in decimal form: 0.28571....

As it doesn't contain finite numbers after decimal point, so 2/7 is not terminating decimal.

B.√12

Converting in decimal form: 3.46410....

As it doesn't contain finite numbers after decimal point, so √12 is not terminating decimal.

C. 5/8

Converting in decimal form: 0.625

As it contain finite numbers after decimal point, so 5/8 is terminating decimal.

D. 2/11

Converting in decimal form: 0.18181....

As it doesn't contain finite numbers after decimal point, so 2/11 is not terminating decimal.

Therefore, Option C is correct option.

x + -13 = 22

Reorder the terms:

-13 + x = 22

Solving

-13 + x = 22

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '13' to each side of the equation.

-13 + 13 + x = 22 + 13

Combine like terms: -13 + 13 = 0

0 + x = 22 + 13

x = 22 + 13

Combine like terms: 22 + 13 = 35

x = 35

Simplifying

x = 35

You are a district sales manager at the sales target for your team 135,000 per month. Your team's annual sales target is $1,620,000.

To calculate the annual sales target for your team, you need to multiply the monthly target by 12 (the number of months in a year):

Annual sales target = Monthly sales target x 12

Given that the monthly sales target for your team is $135,000, the annual sales target would be:

Annual sales target = $135,000 x 12

= $1,620,000

A Sales Manager is a professional responsible for managing a team of sales representatives within a specific geographic area or district. The role typically involves setting and achieving sales targets, developing and implementing sales strategies, and managing relationships with key customers.

Sales Managers are responsible for recruiting, training, and supervising sales staff, as well as monitoring their performance and providing coaching and guidance as needed. They also work closely with other departments within the organization, such as marketing and finance, to ensure that sales goals are aligned with overall business objectives. They must possess strong leadership and communication skills, as well as a deep understanding of their company's products or services and the competitive landscape in which they operate.

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Complete Question:-

You are a district sales manager at the sales target for your team 135,000 per month ? What is your annual sales?

The general equation for a sinusoidal wave is:

y = A sin(2πft + φ)

where A is the amplitude, f is the frequency, t is time, and φ is the phase angle.

Given the parameters f = 1 kHz, A = 2 V, and φ = -π radians, we can plug them into the general equation to get:

y = 2 sin(2π × 1 kHz × t - π)

Simplifying, we get:

y = 2 sin(2000πt - π)

Comparing the equation with the options given:

a. 1sin(2π5t - π) - This equation has a frequency of 5 Hz, not 1 kHz.

b. 2sin(2π1000t - π) - This equation matches the given parameters and is correct.

c. 1sin(2π1000t) - This equation has an amplitude of 1 V, not 2 V.

d. 2sin(2π1t + π) - This equation has a frequency of 1 Hz, not 1 kHz, and the phase angle is positive, not negative.

Therefore, the correct sinusoidal equation is:

y = 2 sin(2π × 1 kHz × t - π), which is option b.

Answer:

110 is the answer

Step-by-step explanation:

There are many assumption that must be met for independent samples t-tests and anovas, but not for single sample z or t tests

The assumption that must be met for testing independent samples from t-test or anovas are :

1. Takes into account the normal distribution of the dependent variable.

2. Makes the supposition that the variance of the two groups is equal to that of the dependent variable.

3. Pretends that the two samples are unrelated to one another.

4. Random selection is used to select samples from the population.

5. All observations in a t-test with an independent sample must be unrelated to one another.

6. To use the independent sample t-test, dependent variables must be measured on an interval or ratio scale.

Where For single Sample t-test ,

Data should be randomly selected and normally distributed

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Therefore, 0.4854 to 0.5546 is the 95% confidence range for the percentage of businesses that are anticipated to need greater employee payments for health insurance coverage in 2009.

A. Computation the margin of error

First step is to calculate the Confidence level using this formula

Confidence level= 1 -α

Where,

α=0.95

Let's enter the formula.

Level of confidence = 1-0.95

Level of confidence = 0.05

The following step is to use this formula to get Z.

Zα/2

Let's enter the formula.

Z= 0.05/2

Z=0.025

Finding the Z score of Z=0.025 is the third stage.

Zα/2=1.96

Let's now use this approach to calculating the margin of error.

Margin of error=Zα/2√p(1-p)/n

Where,

Zα/2=1.96

p=0.52

n=800

Let plug in the formula

Margin of error=1.96√0.52(1-0.52)/800

Margin of error=1.96√0.52(0.48)/800

Margin of error=1.96√0.2496/800

Margin of error=1.96√0.000312

Margin of error=0.0346

Therefore Margin of error will be 0.0346

B. Calculating the proportion of businesses anticipated to demand greater employee payments for health insurance coverage in 2009 with a 95% confidence interval

computation for the confidence interval's outer limits

p- Zα/2√p(1-p)/n

Where,

Zα/2=1.96

p=0.52

n=800

Let plug in the formula

Confidence interval=0.52-1.96√0.52(1-0.52)/800

Confidence interval=0.52-1.96√0.52(0.48)/800

Confidence interval=0.52-1.96√0.2496/800

Confidence interval=-0.52-1.96√0.000312

Confidence interval=0.4854

Computation for the boundaries of confidence interval

Using this formula

p+ Zα/2√p(1-p)/n

Where,

Zα/2=1.96

p=0.52

n=800

Let plug in the formula

Confidence interval=0.52+1.96√0.52(1-0.52)/800

Confidence interval=0.52+1.96√0.52(0.48)/800

Confidence interval=0.52+1.96√0.2496/800

Confidence interval=-0.52+1.96√0.000312

Confidence interval=0.5546

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The argument is symbolically represented and tested for logical validity using the rules of inference. It is concluded that the argument is valid since the conclusion logically follows from the premises.

The argument can be symbolically represented as follows:

P: Australia will remain economically competitive.

Q: We need more STEM graduates.

R: Enrollments in STEM degrees will increase.

S: STEM degrees are made cheaper for students.

T: Entry requirements for STEM degrees are relaxed.

U: We will get more STEM graduates.

The premises of the argument are:

P → Q (If Australia is to remain economically competitive, we need more STEM graduates.)

Q → R (To get more STEM graduates, it is necessary to increase enrollments in STEM degrees.)

(S ∨ T) → R (If we make STEM degrees cheaper for students or relax entry requirements, then enrollments will increase.)

S (We have made STEM degrees cheaper for students.)

T (We have relaxed entry requirements for STEM degrees.)

The conclusion is:

U (Therefore, we will get more STEM graduates.)

To test the logical validity of the argument, we need to determine if the conclusion U follows logically from the premises. By applying the rules of inference, we can see that the argument is valid. Since the premises are true and the conclusion follows logically from the premises, the argument is valid.

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