PLEASE HELP ME! DUE TODAY!!

Two functions are shown below:

g(x) = 4x – 8
h(x) = 3x – 4

What is g(4) – h(2)?

A. –6
B. –1
C. 6
D. 10

Answer:

The correct options are;

a) Is

b) Passes through the middle of the plotted scatter data points on the graph

b) Is not

e Does not pass through the middle of the plotted scatter data points on the graph

Step-by-step explanation:

Whereby the graph with the line of best fit on the left was drawn by Sylvia and the graph with the line of best fit on the right was drawn by Patrick, we have;

The line of best fit is a line that gives the relationship of the data points within a graph to each other, such that the line of best fit provides an approximation of the data on a graph

The line of best fit is the line that passes through the mid region of all the scatter points within a graph, and closeness of the data points on the scatter plot to the line of best fit, the higher the level of correlation between the line of best fit and the data.

Therefore, we have;

Sylva's line is a line of best fit because her line passes through the middle of the plotted scatter data points on the graph. Patrick's line is not a line of best fit as his line does not pass through the middle of the plotted scatter data points on the graph.

Answer: Sylvia’s line  is  a line of best fit because her line  is close to most of the data points . Patrick’s line  is not  a line of best fit as his line  is not close enough to all the data points .

Answer:

Rational

Step-by-step explanation:

Because it's an actual number that you can graph where irrational would be is if it would be a number that like pie or something where it just goes on and on

Answer:

Rational

Step-by-step explanation:

-1.8 is a rational number. It has a terminating and non repeating decimal.

\(-1.8=-\frac{18}{10} =-\frac{9}{5}\)

Hope this helps.

As a little bonus: -8.1 would be rational for the same reason.

\(-8.1=-\frac{81}{10}\)

Answer:a=-2

Step-by-step explanation:

Answer:

  24 min

Step-by-step explanation:

Time is proportional to distance at constant speed, so it will take 18/45 = 2/5 of an hour. That's 2/5 of 60 minutes, or 24 minutes.

__

The time required is ...

  time = distance / speed

  time = (18 mi)/((45 mi)/(60 min)) = (18×60/45) min =  24 min

It would take 24 minutes.

The number 44 is 80% of the number 55.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the numbers are 55 and 44. The percentage will be calculated below,

55 x X% = 44

X% = ( 44 x 100 ) / 55

X% = 80%

Therefore, the number 44 is 80% of the number 55.

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The correct answer is it would take approximately 0.000012 seconds (or 12 microseconds) for the laptop to receive a packet of MTU size (1500 bytes) with a network speed of 1 Gbps.

To determine the time it will take for a laptop to receive a packet of MTU size (1500 bytes), we need to consider the data transfer rate or network speed.

Let's assume the network speed is given in bits per second (bps). We'll need to convert the packet size from bytes to bits and then divide it by the network speed to calculate the time.

First, let's convert the packet size from bytes to bits:

Packet size = 1500 bytes

1 byte = 8 bits

1500 bytes * 8 bits/byte = 12000 bits

Now, we need to divide the packet size by the network speed to calculate the time:

Time = Packet size / Network speed

For example, if the network speed is 1 Gbps (1 gigabit per second), the calculation would be:

Time = 12000 bits / (1 Gbps) = 12000 / (10^9) seconds = 0.000012 seconds

Therefore, it would take approximately 0.000012 seconds (or 12 microseconds) for the laptop to receive a packet of MTU size (1500 bytes) with a network speed of 1 Gbps.

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Answer:

Umm may be 105

Step-by-step explanation:

here a=5 b=7

3ab means 3×a×b

so,

3×5×7

=105

Answer:

\(\Huge \boxed{\mathrm{105}}\)

Step-by-step explanation:

\(3ab\)

The value of \(a\) is given 5.

The value of \(b\) is given 7.

\(\Rightarrow 3(5)(7)\)

Evaluate the expression.

\(\Rightarrow 105\)

The calculated value of the total population of the country is 8530000

From the question, we have the following parameters that can be used in our computation:

3582600 is 42%. of the total population of the country

This means that

42%. of the total population of the country = 3582600

Express as product

So, we have

42% * the total population of the country = 3582600

Divide both sides by 42%

the total population of the country = 3582600 /42%

Evaluate

the total population of the country = 8530000

Hence, the total population of the country is 8530000

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Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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The coefficient of determination for the regression of gasoline consumption on gasoline prices is approximately 0.557.

The coefficient of determination, also known as R-squared, measures the proportion of the total variation in the dependent variable that is explained by the independent variable(s). It is calculated by dividing the explained variation by the total variation.

In this case, the total variation in the dependent variable is given as 122, and the unexplained variation is 54. To calculate the coefficient of determination, we need to find the explained variation, which is the difference between the total variation and the unexplained variation.

Explained variation = Total variation - Unexplained variation

Explained variation = 122 - 54 = 68

Now, we can calculate the coefficient of determination:

Coefficient of determination = Explained variation / Total variation

Coefficient of determination = 68 / 122 ≈ 0.557

Therefore, the coefficient of determination for the regression of gasoline consumption on gasoline prices is approximately 0.557.

The coefficient of determination, R-squared, provides an indication of how well the independent variable(s) explain the variation in the dependent variable. In this case, an R-squared value of 0.557 means that approximately 55.7% of the total variation in gasoline consumption can be explained by the variation in gasoline prices.

A higher R-squared value indicates a stronger relationship between the independent and dependent variables, suggesting that changes in the independent variable(s) are associated with a larger proportion of the variation in the dependent variable. Conversely, a lower R-squared value indicates that the independent variable(s) have less explanatory power and that other factors not included in the regression may be influencing the dependent variable.

It is important to note that while the coefficient of determination provides an indication of the goodness-of-fit of the regression model, it does not necessarily imply causation or the strength of the relationship. Other factors, such as the model's specification, sample size, and the presence of other variables, should also be considered when interpreting the results of a regression analysis.

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equilateral triangles are made of all even sides with a angle of 60 degrees

isosceles triangle has two of the same sides and ond different side

scalene triangles have all different sides

brainiest please

we know that

The area of a triangle applying the law of sines is equal to

substitute the given values

the answer is

Answer:

Solution given:

cos(90-θ)=BC/CA

we have

cos(90-θ)=Cosθ

so

ratio of cosθ is BC/CA

(a) The x represents the width of the path surrounding the pool. (b) The equation to find the width of the path is 4x²+ 36x + 72 = 520.

(a) In this problem, x represents the width of the path surrounding the pool. It is essential to define this variable to set up the equation correctly.

(b) To find the width of the path, we start by calculating the area of the pool. The area of a rectangle can be determined by multiplying its length and width. Given that the pool has dimensions 6 feet by 12 feet, we find the area as follows:

Pool area = 6 feet * 12 feet

                = 72 square feet.

Next, consider that the path surrounds the pool on all sides and has a uniform width. Since the problem does not specify the width of the path, we use x to represent it.

To find the dimensions of the entire area (pool + path), we add 2x to the length and width of the pool. Therefore, the length becomes 6 + 2x feet, and the width becomes 12 + 2x feet.

The total area of the pool and the path combined is given as 520 square feet. We can set up an equation using the area formula for a rectangle:

⇒ Area of the entire area = (length of entire area) * (width of entire area) = 520 square feet.

Substituting the expressions for the length and width, we have:

(6 + 2x) * (12 + 2x) = 520.

Equation in terms of x that represents the relationship between the dimensions and the total area. To find the width of the path, we need to solve this equation.

To solve it, we begin by expanding the equation:

72 + 24x + 12x + 4x² = 520.

Next, we rearrange the terms to get the equation in standard form:

4x²+ 36x + 72 = 520.

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Complete Question:

A pool measuring 6 feet by 12 feet is surrounded by a path of uniform width, as shown in the figure. The area of the pool and the path combined is 520 feet.

(a) Define x.

(b) Set up and solve an equation to find the width of the path. Label with appropriate units.

In performing back-substitution, we work with the echelon form of an augmented matrix that corresponds to a system of linear equations in x, y, and z.

Back-substitution is a method used to solve a system of linear equations by working with the echelon form of an augmented matrix.  To perform back-substitution, we start from the bottom row of the echelon form and solve for the variables one by one. We substitute the value of the variable we solved for into the equations above it, simplifying the system of equations at each step.

In the given problem, the echelon form of the augmented matrix represents a system of linear equations in x, y, and z. By performing back-substitution, we can find the values of x, y, and z that satisfy the system of equations.

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Answer:

x + y = -1

x + 4y = 0

8x – 3y = 20

Step-by-step explanation:

answer on edge

Answer:

x + y = -1

x + 4y = 0

8x – 3y = 20

Step-by-step explanation:

The probability of randomly selecting a score less than x = 34 from a normal distribution with a mean of µ = 40 and a standard deviation of σ = 8 is approximately 0.2266, or 22.66%.

First, we need to standardize the value of 34 using the formula for standardization:

Z = (x - µ) / σ

Where:

Z is the standard score or z-score,

x is the value of interest,

µ is the mean of the distribution, and

σ is the standard deviation of the distribution.

Plugging in the values, we get:

Z = (34 - 40) / 8 = -0.75

Now that we have the z-score, we can look up the corresponding probability from the standard normal distribution table or use statistical software. The standard normal distribution has a mean of 0 and a standard deviation of 1.

By looking up the z-score of -0.75 in the standard normal distribution table or using software, we find that the corresponding probability is approximately 0.2266. This means that there is a probability of 0.2266, or 22.66%, of randomly selecting a score less than 34 from the given normal distribution.

Alternatively, you can use software or a graphing calculator to directly calculate the probability using the standard normal distribution function. In this case, you would use the formula:

P(Z < -0.75) = Φ(-0.75)

Where Φ represents the cumulative distribution function (CDF) of the standard normal distribution. By evaluating this expression, you would get the same result of approximately 0.2266.

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The cheetah can travel 74.6 miles in 1 hour at its top speed.

To determine how far a cheetah can travel in 1 hour, we need to use the information provided and make some calculations.

First, we know that the cheetah can travel at its top speed for 1.5 hours, covering a distance of 111.9 miles. This means that we can calculate the cheetah's average speed during this time as follows:

Average speed = Distance covered / Time taken

Plugging in the values, we get:-

Average speed = 111.9 miles / 1.5 hours = 74.6 miles/hour

This means that the cheetah can run at an average speed of 74.6 miles per hour.

Now, to determine how far the cheetah can travel in 1 hour, we can use the formula:

Distance = Speed x Time

Plugging in the values, we get:-

Distance = 74.6 miles/hour x 1 hour = 74.6 miles

Therefore, the cheetah can travel 74.6 miles in 1 hour at its top speed.

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Answer:

y<-12

Step-by-step explanation:

-3y>36 divide both sides of the inequality by -3 and flip the inequality sign

-3y÷(-3)<36÷(-3) any expression divided by itself equals 1

y<36÷(-3) which equals to y<-12

Formula for arithmetic sequence 5,2,-1,-4, . . . . is an = 3n + 8.

An ordered group of integers with a shared difference between each succeeding word is known as an arithmetic sequence. For instance, the common difference in the arithmetic series 3, 9, 15, 21, and 27 is 6. An arithmetic progression is another name for an arithmetic sequence.

This is an A.P. series.

a = 5

d = -3

an = a + (n-1)d

an = a + (n-1)-3

an = a + 3n + 3

an = 5 + 3n + 3

an = 3n + 8

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Answer:

10.2 units

Step-by-step explanation:

Check the attachment.

Hope this helps! :D

Answer:

60

Step-by-step explanation:

n/2 + 5 = 35

N/2 = 30

N = 60

Answer:

\(x = 21\)

Step-by-step explanation:

We can simplify this equation down until we have x isolated.

\(3x - 17 = 46\)

If we add 17 to both sides:

\(3x = 63\)

Now we can divide both sides by 3:

\(x = 21\)

So \(x = 21\).

Hope this helped!

The solution to the initial-value problem x(x + 1) dy/dx + xy = 1, y(e) = 1 is y = ln(x + 1) / x.

To solve the given initial-value problem, we can use the method of integrating factors. Rearranging the equation, we have dy/dx + (xy / (x(x + 1))) = 1 / (x(x + 1)).

The integrating factor is given by μ(x) = exp ∫ (xy / (x(x + 1))) dx. Simplifying the integral, we have μ(x) = exp ∫ (1 / (x + 1)) dx = exp(ln(x + 1)) = x + 1.

Multiplying the entire equation by the integrating factor, we obtain (x + 1)dy/dx + xy = (x + 1) / (x(x + 1)).

The left side of the equation can be written as d((x + 1)y)/dx. Integrating both sides with respect to x, we have ∫ d((x + 1)y)/dx dx = ∫ (x + 1) / (x(x + 1)) dx.

Simplifying the right side of the equation, we get ∫ dx / x = ln|x| + C.

Dividing both sides by (x + 1), we have (x + 1)y = ln|x| + C.

Finally, solving for y, we find y = (ln|x| + C) / (x + 1). Using the initial condition y(e) = 1, we can substitute x = e and solve for C to obtain the specific solution y = ln(x + 1) / x.

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Answer:

See below

Step-by-step explanation:

\(4-3a=5-2a\\ 4=5+a\\ -1=a\)

\(2(x+4)=3(5-2x)\\ 2x+8=15-6x\\ 8x+8=15\\ 8x=7\\ x=\frac{7}{8} \)

\(0=3(x-2)-8\\ 8=3(x-2)\\ 8=3x-6\\ 14=3x\\ \frac{14}{3}=x \)

\(4=-3p-5\\ 9=-3p\\ -3=p\)

\(y-\frac{2y}{5}=3\\ 5y-2y=15\\ 3y=15\\ y=5\)

\(\frac{3x-2}{4}=7\\ 3x-2=28\\ 3x=30\\ x=10\)

\(x(6x-7)=0\\ x=0,x=\frac{7}{6} \)

Can't do last one as variables are different

Answer:

\(25\pi t^2\)

Step-by-step explanation:

After \(t\) seconds, the radius is \(5t\).

So, the area is \(\pi(5t)^2=25\pi t^2\).

Answer:

see explanation

Step-by-step explanation:

since BD = DC then Δ BCD is isosceles with base angles being congruent

∠ C = ∠ 2 = \(\frac{180-100}{2}\) = \(\frac{80}{2}\) = 40°

since ∠ 1 = ∠ 2 then ∠ 1 = 40° , so

∠ B = ∠ 1 + ∠ 2 = 40° + 40° = 80°

the sum of the 3 angles in Δ ABC = 180° , then

∠ A = 180° - ∠ B - ∠ C = 180° - 80° - 40° = 180° - 120° = 60°

then

∠ A = 60° , ∠ B = 80° , ∠ C = 40°

Answer:

the probability of choosing is blue marble is less than the probability of not choosing a blue marble

Step-by-step explanation:

the reasoning for this is that there are 50 marbles and only 20 of the 50 are blue. Which means that 30 are not blue. Since 30 is bigger and 20 (ie. there are more non-blue marbles than there are blue marbles), the probability of choosing a blue marble is less than the probability of not choosing a blue marble