PLEASE HELP IF YOUR GOOD AT (proportional relationships!)

The monthly expenses is: $ 1545.83.

Here, we have,

from the given information, we get,

Total semester = 2

so, we get,

Total credit hours = 15 *2 = 30

now, we have,

Total fees = $600 * 30 = $18000

and,

Total textbook fees = $275 *2 = $ 550

so, we get,

Total expenses = $18000 + $550

                          = $ 18550

now, we have,

for 12 months expenses = $ 18550

for 1 month expenses = $18550/12

                                    = $ 1545.83

Hence, The monthly expenses is: $ 1545.83.

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Answer: x=16-9

Step-by-step explanation:

16= total parking space

there are 9 plane already parked

16-9 = how many more plane can park

so the inequality is x=16-9

Answer:

16 ≥ 9 + x

Step-by-step explanation:

Answer:

N

Step-by-step explanation:

just match the letters in the corresponding triangles

Answer:

A

Step-by-step explanation:

Answer:

\(5y=-x+23\\\)

Step-by-step explanation:

Since the equation of the line is perpendicular to the line y = 5x +6

we can use the formula:

\(m_1m_2=-1\\\)

where m1 is the slope of the line we have and,

m2 is the slope of the line we need

so here m1 is 5 as we compare it with the slope-intercept form our slope is:

\(y=5x+6\\y=mx+b\)

our m1 is 5 but we need m2 so plugging in the value we get m2 to be:

\(m_1m_2=-1\\5m_2=-1\\m_2=-1/5\\\)

and now we have our m2, now furthermore since the line passes through the point (-2 , 5) it means the point must lie on the line and satisfy it. We can use this point and the slope m2 and find out the equation by the point-slope form equation:

\(y-y_1=m(x-x_1)\\y-5=-\frac{1}{5}(x-(-2))\\\\5(y-5)=(-1)(x+2)\\5y-25=-x-2\\5y=-x-2+25\\5y=-x+23\\\)

9.42 is the circumference, for future refernce its just pi times diameter :)

The 48th percentile for weight means that the 16-year-old girl's weight falls within the range of weights that 48% of girls her age typically weigh.

The 78th percentile for height means that her height falls within the range of heights that 78% of girls her age typically have.

Percentiles are used in growth charts to compare an individual's height or weight to a reference population. The percentile values indicate the percentage of people in that population who have a lower measurement.

For example, a girl at the 48th percentile for weight means that 48% of girls her age weigh less than her, while 52% weigh more. Similarly, being at the 78th percentile for height means that 78% of girls her age are shorter than her, while 22% are taller.

In plain English, the girl's weight is considered to be in the middle range, as she is at the 48th percentile. However, her height is above average, as she is at the 78th percentile.

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The space curves r1(t) and r2(t) intersect at two points.

To find the points of intersection between the space curves r1(t) and r2(t), we need to set their corresponding components equal to each other and solve for t. The curves are defined as follows:

r1(t) = (ht^2, 1 - t^2, t)

r2(t) = (1 - t^2, t, t)

Setting the x-components equal to each other, we have:

ht^2 = 1 - t^2

Simplifying, we get:

h = (1 - t^2) / t^2

Next, we set the y-components equal to each other:

1 - t^2 = t

Rearranging the equation, we have:

t^2 + t - 1 = 0

Solving this quadratic equation, we find two values for t: t ≈ 0.618 and t ≈ -1.618.

Substituting these values of t back into either of the equations, we can find the corresponding points of intersection in 3D space.

Therefore, the space curves r1(t) and r2(t) intersect at two points.

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The p-value for testing H0 (null hypothesis) versus Ha (alternative hypothesis) is 0.0038. We need to determine whether H0 would be rejected at different significance levels: α = 0.10, α = 0.05, α = 0.01, and α = 0.001.

To make the decision, we compare the p-value with the chosen significance level. If the p-value is less than or equal to the significance level, we reject H0. Otherwise, we fail to reject H0.

At α = 0.10: Since the p-value (0.0038) is less than 0.10, we reject H0.

At α = 0.05: Since the p-value (0.0038) is less than 0.05, we reject H0.

At α = 0.01: Since the p-value (0.0038) is greater than 0.01, we fail to reject H0.

At α = 0.001: Since the p-value (0.0038) is greater than 0.001, we fail to reject H0.

In summary:

H0 would be rejected at α = 0.10 and α = 0.05.

H0 would not be rejected at α = 0.01 and α = 0.001.

Please note that the decision to reject or fail to reject the null hypothesis depends on the chosen significance level, and different levels of significance can lead to different conclusions.

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Answer:

4

Step-by-step explanation:

Answer: 60

Step-by-step explanation:

write down the 12 times table

12 , 24, 36, 48, 60, 72, 84, 96, 108, 120

20, 40, 60, 80, 100, 120, 140, 160, 180, 200

Now you can see that 60 is the multiple that comes up first in both of the times tables which means it is the lowest common factor.

The probability of sampling a score of x = 55 or greater from a population with μ = 50 and σ = 15 is 0.84134

The probability of sampling a score of x = 50 or greater from a population with μ = 55 and σ = 5 can be calculated using the standard normal distribution formula:

Z = (X - μ) / σ

Where Z is the standard normal score, X is the raw score, μ is the mean of the population, and σ is the standard deviation of the population.

First, we need to calculate the Z score for X = 50:

Z = (50 - 55)/5 = -5/5 = -1

Next, we can use the standard normal table or a calculator to find the probability of getting a Z score of -1 or greater. The table shows that the probability of getting a Z score of -1 or less is 0.15866

Since we want the probability of getting a Z score of -1 or greater, we need to subtract this value from 1:

P(Z ≥ 0.33) = 1 -  0.15866 = 0.84134

Therefore, the probability of sampling a score of x = 55 or greater from a population with μ = 50 and σ = 15 is 0.84134

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The Value iof ∠E in the parallelogram EFGH is 87°

What is parallelogram?

A parallelogram is a basic quadrilateral with two pairs of parallel sides in Euclidean geometry. A parallelogram's opposing or facing sides are of equal length, and its opposite angles are of equal measure.

Solution:

We are provided that the Parallelogram is named as EFGH

So, it can be deciphered that E and F are corresponding angles

so, Sum of the Corresponding Angles of Parallelogram is 180°

E = 2x + 3

F = 3x - 33

E + F = 180

2x + 3 + 3x - 33 = 180

5x - 30 = 180

5x = 210

x = 42°

∠E = 2*42 + 3 = 87°

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Step-by-step explanation:

-2m - 5m - 8 = 3 - 7 + m

Solving like terms

-7m - 8 = - 4 + m

Rearranging

-7m - 8 = m - 4

Answer:

We use percentages to make calculations easier. It is much simpler to work with parts of 100 than thirds, twelfths and so on, especially because quite a lot of fractions do not have an exact (non-recurring) decimal equivalent.

Step-by-step explanation:

The values of b and a for the logarithmic function in this problem are given as follows:

The logarithmic function in the context of this problem has the format given as follows:

\(y = b\log_3{x + a}\)

The vertical asymptote is at x = -4, hence:

\(y = b\log_3{x - 4}\)

When x = 5, y = -1, hence the parameter b is obtained as follows:

\(-1 = b\log_3{5 - 4}\)

0.477b = -1

b = -1/0.477

b = -2.1.

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The ratio strength of the final product is 1:0.4.

One technique to indicate concentration is through ratio strength, which uses a ratio to characterize drug concentration. In this context, concentration is defined as the quantity of a solute that makes up one unit in the whole volume of a solution or combination. You should be an expert in ratio strength calculations as a pharmacy student. Ratio strength uses a ratio to describe the medication concentration. So, what it implies is, you have one unit of solute contained in the complete amount of preparation and so generally your ratio strength is expressed as one is to something. In the case of a weight-in-weight, volume-in-volume, or weight-in-volume situation, you would interpret a ratio of 1:2,000 differently.

Drug strength = 800mg

whole volume =2ltrs

The ratio of the solution in 1 ltr is = 400 mg

The ratio strength of the solutions is = 1:0.4

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Simplifying the linear equation 4a + 7 when a= 1/2 is 9

Linear equation is an equation in whi8ch the highest power of the variable is 1

From the linear equation, 4a + 7 when a = 1/2

By substituting for a in the equation

=4(1/2) + 7

By expanding the bracket

=(4x1/2) + 7

=4/2+7

=2+7

=9

Hence, The final answer to the linear equation 4a + 7 when a= 1/2 = 9

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Step-by-step explanation:

Jeremiah solved equation by multiplicative inverse.

Therefore,

Option D is correct ✔

And

Kelly solved equation by Additive inverse.

Therefore,

Option B is correct ✔

Answer:

my crushes name is Adrian but the answer is $2.20

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of slides ridden and y represent the total cost. Hence:

1) For option 1, the table is shown. It passes through (2,10) and (6, 20). The equation is:

\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-10=\frac{20-10}{6-2} (x-2)\\\\y=2.5x+5\)

2) For option 2, the equation is given by y = 5x + 7.5

3) For option 3, the graph passes through (30, 100) and (10, 40). Hence the equation is:

\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-40=\frac{100-40}{30-10} (x-10)\\\\y=3x+10\)

Option 2 has the highest rate

Valerie and 3 friends can paint a house in 6 hours. If Valerie and 6 friends paint, it would take approximately 3.43 hours.

The time it takes Valerie to paint her house varies inversely with the number of people. This means that as the number of people increases, the time it takes to paint the house decreases, and vice versa.
In this scenario, it takes Valerie and 3 of her friends a total of 6 hours to paint the house. We can set up an equation to represent the inverse variation relationship:
(time) = (constant) / (number of people)
Let's call the constant "k". Using the given information, we can write the equation as:
6 = k / 4
To find the value of k, we can multiply both sides of the equation by 4:
6 * 4 = k
k = 24
Now that we know the value of the constant, we can use it to answer the question. The question asks how long it would take for Valerie and 6 of her friends to paint the house. Let's call this unknown time "x". Using the same equation, we can write:
x = 24 / (6 + 1)
Simplifying the equation:
x = 24 / 7
x ≈ 3.43
Therefore, it would take approximately 3.43 hours for Valerie and 6 of her friends to paint the house.

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Answer:

-3/5

Step-by-step explanation:

There is a formula that is used to find the gradient of a line.

The numerator consists of the y-values and the denominator consists of the x-values.

The answer when you simplify would be -3/5

-5 gallons/hour x 6 hours = -30 gallonsgallons.
This means that after 6 hours, the gas level in the bus will decrease by 30 gallons.

The problem statement tells us that a city bus uses 5 gallons of gas every hour for 6 hours. We can represent the amount of gas used in one hour using the variable "x".

Then, we can write:

- x gallons/hour = 5 gallons/hour

This means that the bus uses 5 gallons of gas in one hour, or in other words, the change in gas every hour is -5 gallons (since the gas level decreases by 5 gallons every hour).

To find the total change in gas after 6 hours, we need to multiply the change in gas per hour (-5 gallons) by the number of hours (6 hours) the bus runs.

So, the expression that represents the total change in gas after 6 hours is:

-5 gallons/hour x 6 hours = -30 gallons

This means that after 6 hours, the gas level in the bus will decrease by 30 gallons.
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The graphs that represent functions are Graph B and Graph D.The correct answer is option A.

A function is a mathematical relationship where each input value (x-coordinate) corresponds to exactly one output value (y-coordinate). In Graph B, the plotted points (negative 1, 1) and (1, 5) satisfy this condition, as each x-value has a unique y-value associated with it.

Similarly, Graph D represents a function because it has a rise and decline curve passing through the point (1, negative 2). This means that for any given x-value, there is only one corresponding y-value.

On the other hand, Graph A does not represent a function because it shows multiple y-values for the same x-value. This violates the definition of a function, where each x-value must have a unique y-value.

Graph C also does not represent a function because it fails the vertical line test. The vertical line passing through x = -2 intersects the graph at two different points, violating the uniqueness requirement of a function.

In conclusion, Graph B and Graph D are the only ones that represent functions, making option A. Graph B and Graph D the correct answer.

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the equation of the parabola will be y=3/4 (x²-1).

What is parabola ?

A parabola is a curve whose equation places a point on it at a same distance from both a fixed point and a fixed line. The parabola's fixed point is referred to as the focus, and its fixed line is referred to as the directrix. The fixed point does not lie on the fixed line, which is another crucial factor to remember. A parabola is a locus of any point that is equally distant from both the focus and directrix of two supplied points. The point where a parabola makes its sharpest turn is known as the vertex. If a parabolic function has the shape of a "," it has a maximum value; otherwise, it has a minimum value.

A parabola has a vertex at (0, -1)  

passes through point (2, 2). Which of the following is the equation of

this parabola in the form y = a(x-h)² +k.

The equation will be (2,2)

x=2, y=2

2=a(2²)-1

2=a(4)-1

3=a(4)

a = 3/4

the equation is

y=3/4 (x²-1)

Hence the equation of the parabola will be y=3/4 (x²-1).

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The solution is x4 is free. Setting x4 = 1, we get x1 = -1/2, x. To find the eigenvalues and eigenvectors of matrix A,.

We start by solving the characteristic equation:

det(A - λI) = 0

where I is the identity matrix and λ is the eigenvalue. This gives us:

|1-λ 4 1 2 |

| 0 2-λ 2 1 |

| 1 2 2-λ 1 |

| 2 1 1 2-λ| = 0

Expanding along the first row, we get:

(1-λ) [ (2-λ)(2-λ) - 1 ] - 4[ 2(2-λ) - 1 ] + 1[ 1(1-λ) - 2 ] - 2[ 2(1-λ) - 2 ] = 0

Simplifying and rearranging, we get:

λ^4 - 7λ^3 + 16λ^2 - 14λ = 0

Factoring out λ, we get:

λ(λ-2)(λ-4)(λ-1) = 0

Therefore, the eigenvalues of matrix A are λ1 = 0, λ2 = 1, λ3 = 2, and λ4 = 4.

Next, we find a basis for each eigenspace by solving the system of equations (A - λI)x = 0 for each eigenvalue.

For λ1 = 0, we have:

|1 4 1 2 | |x1| |0|

|0 2 2 1 | x |x2| = |0|

|1 2 2 1 | |x3| |0|

|2 1 1 2 | |x4| |0|

Reducing the augmented matrix to row-echelon form, we get:

|1 0 -1 0 | |x1| |0|

|0 1 1/2 0| x |x2| = |0|

|0 0 0 1 | |x3| |0|

|0 0 0 0 | |x4| |0|

The solution is x3 = 0 and x4 is free. Setting x4 = 1, we get x1 = x3 = 0 and x2 = -1/2. Therefore, a basis for the eigenspace corresponding to λ1 = 0 is {[-1/2, 0, 1, 0]^T}.

For λ2 = 1, we have:

|0 4 1 2 | |x1| |0|

|0 1 2 1 | x |x2| = |0|

|1 2 1 1 | |x3| |0|

|2 1 1 1 | |x4| |0|

Reducing the augmented matrix to row-echelon form, we get:

|1 0 0 1/2 | |x1| |0|

|0 1 0 -5/2| x |x2| = |0|

|0 0 1 -1/2| |x3| |0|

|0 0 0 0 | |x4| |0|

The solution is x4 is free. Setting x4 = 1, we get x1 = -1/2, x

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The predicted value of Y must be between 0 and 1.

A linear probability model (LPM) is a regression model where the outcome variable is a binary variable, and one or more explanatory variables are used to predict the outcome. Explanatory variables can themselves be binary, or continuous.

Suppose, that the linear probability model yields a predicted value of Y that is equal to 1.3.

This is nonsensical because

The predicted value of Y must be between 0 and 1.

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Answer:

07:45 or 7:45

Step-by-step explanation:

On a clock, the shorter hand shows the hour of the day, while the longer hand shows the minute. The clock is divided into 12 hours and 60 minutes. In this case, the shorter hand is between 7 and 8, and the minute hand is right at 45, meaning that the time is 07:45. Hope this helps!