Determine if the table shows a proportional relationship.



x 7.2 9.2 13.6

y 1.8 2.3 3.4


Yes, it is proportional because all y over x ratios are equivalent to one half.

Yes, it is proportional because all y over x ratios are equivalent to one fourth.

No, it is not proportional because 9.2 over 2.3 does not equal 1.8 over 7.2.

No, it is not proportional because 2.3 over 9.2 does not equal 13.6 over 3.4.

Answer:

Step-by-step explanation: A. One unique triangle because the three angles add up to 180 degrees

42+42+96=180

Answer:

C 42yd

Step-by-step explanation:

Answer:

y = x + 3

Step-by-step explanation:

In point slope form, the equation of line is,

\(y - b = m(x - a)\)

where a and b correspond to the x and y coordinates of the given point and m is the slope

Since the line is parallel to y = x+4, it has the same slope so m = 1 since the slope of y = x+4 is 1

and putting the values of the point (-1,2), we get,

y - 2 = x - (-1)

y-2 = x + 1

y = x + 3

Answer:

Has an x-intercept of (0,0) and an increasing interval from (-2, infinite)

Answer:

C. 500

Step-by-step explanation:

\(a {(1.1}^{3} ) = 665.5\)

\(1.331a = 665.5\)

\(a = 500\)

Without help, it would take Donald 8 hours to make 4 baked zitis.

Amount is the term used to describe a quantity or size of something it will stop to use to refer to a numbers of object items are people with as well as the measure of money time and distance.

This is due to the fact that, as Reynold and Donald work together, they are able to cut the time it takes to make 4 baked zitis in half. Therefore, when working alone, Donald would take twice as long to complete the same task.

For Reynold,  in 8 hour he make 4 zitis

Meaning,  in 1 hour he make 1/2 zitis

But with the help of Donald he make  in 4 hours 4 zitis

both in 1 hour makes  1 zitis

So we have,

Reynold time to make zitis + Donald time to make zitis = both time to make zities

⇒ 1/2 + x = 1

⇒ x = 1 - 1/2

⇒ x = 1/2

So, It take 1/2 hours Donald to make 1 baked zitis without help.

Therefore, It take 8 hours Donald to make 4 baked zitis without help.

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The advantages of the superposition theorem compared to other circuit theorems are its simplicity and modularity in circuit analysis, as well as its applicability to linear circuits.

Superposition theorem is a powerful tool in circuit analysis that allows us to simplify complex circuits and analyze them in a more systematic manner. When compared to other circuit theorems, such as Ohm's Law or Kirchhoff's laws, the superposition theorem offers several advantages. Here are two key advantages of the superposition theorem:

Simplicity and Modularity: One major advantage of the superposition theorem is its simplicity and modular approach to circuit analysis. The theorem states that in a linear circuit with multiple independent sources, the response (current or voltage) across any component can be determined by considering each source individually while the other sources are turned off. This approach allows us to break down complex circuits into simpler sub-circuits and analyze them independently. By solving these individual sub-circuits and then superposing the results, we can determine the overall response of the circuit. This modular nature of the superposition theorem simplifies the analysis process, making it easier to understand and apply.

Applicability to Linear Circuits: Another advantage of the superposition theorem is its applicability to linear circuits. The theorem holds true for circuits that follow the principles of linearity, which means that the circuit components (resistors, capacitors, inductors, etc.) behave proportionally to the applied voltage or current. Linearity is a fundamental characteristic of many practical circuits, making the superposition theorem widely applicable in real-world scenarios. This advantage distinguishes the superposition theorem from other circuit theorems that may have limitations or restrictions on their application, depending on the circuit's characteristics.

It's important to note that the superposition theorem has its limitations as well. It assumes linearity and works only with independent sources, neglecting any nonlinear or dependent sources present in the circuit. Additionally, the superposition theorem can become time-consuming when dealing with a large number of sources. Despite these limitations, the advantages of simplicity and applicability to linear circuits make the superposition theorem a valuable tool in circuit analysis.

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Answer:

spinner 2 is 14

Step-by-step explanation:

7+3=10

10+4=13

Answer: B. statistic

Step-by-step explanation: A characteristic, usually a numerical value, which describes a sample, is called a statistic.

Answer:

D

Step-by-step explanation:

Answer:

3. Markup $3.50 Retail Price $13.50

4.)Markup $10 Retail Price $50

Answer:

3. $ Markup = $3.50

Retail Price = $13.50

4. $ Markup = $10

Retail Price = $50

Step-by-step explanation:

Turn the % markups into decimals. For 3, you would turn the % markup into 0.35 and for 4 you would turn the % markup into 0.25.

Multiply the decimals by the price. Your result for the $ markup for 3 should be $3.50 and the result for 4 should be 10.

Now add the $ markup to the original price for 3 and 4.

10 + 3.50 = $13.50

40 + 10 = $50

I hope this helped.

Answer:  resultant

Step-by-step explanation:

Without specific information about the data set, it is not possible to determine which equation is the best fit.

To determine the linear function equation that best fits the data set, we need more information about the data set itself. Without the data points or any other details, we cannot accurately determine which linear function equation is the best fit.

However, I can provide a general explanation of the four options:

y = -2x + 5: This is a linear equation with a negative slope of -2. It represents a line that decreases as x increases. The y-intercept is 5.

y = 2x + 5: This is a linear equation with a positive slope of 2. It represents a line that increases as x increases. The y-intercept is 5.

y = -1/2x + 5: This is a linear equation with a negative slope of -1/2. It represents a line that decreases at a slower rate as x increases. The y-intercept is 5.

y = 1/2x - 5: This is a linear equation with a positive slope of 1/2. It represents a line that increases at a slower rate as x increases. The y-intercept is -5.

Without specific information about the data set, it is not possible to determine which equation is the best fit. The best fit would depend on how well the equation aligns with the actual data points.

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360 degrees equals a circle. A circle can be divided into more manageable pieces. A circle's circumference is referred to as an arc, and an arc is given a name based on its angle.

Having no sides or edges, a circle is a figure with a round shape. A closed, two-dimensional curved form is what is meant by the term "circular" in geometry. The shape of a car tire, a wall clock that indicates the time, and a lollipops are a few objects that are circular in nature. The collection of all points in the plane that make up a circle are all equally spaced from a certain point known as the "centre," making the form a closed two-dimensional shape.

The reflection symmetry line is created by all lines that traverse the circle. Additionally, it is symmetrical in rotation around the center at all angles. A curved line forms a circle, a two-dimensional shape. The curving line's tips are evenly spaced apart from the center since it is a sphere.

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The finance charge on a $6,500 loan with an interest rate of 9.5% compounded monthly over 36 months is $208.21.

The finance charge on a $6,500 loan with an interest rate of 9.5% compounded monthly over 36 months can be calculated using the formula:

Finance Charge = Principal Amount * Interest Rate * Number of Months

Finance Charge = $6,500 * 9.5% * 36

Finance Charge = $208.21

Therefore, the finance charge on a $6,500 loan with an interest rate of 9.5% compounded monthly over 36 months is $208.21.

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Answer:

it took her 60 mins which is a hour

Step-by-step explanation:

you would simply add 24 plus 24 and get 48 then u would take 24 and divide that by 2 and get 12 and then u would add 48 and 12 and get the final answer of 60

Answer:

it would take laurel 56 minutes to run 7 miles.

Step-by-step explanation:

She has to run 7 miles, so if she can run 3 in 24 minutes, you can double that time to 48 minutes to run 6 miles, on top of adding another 8 minutes due to 1/3 of 24 (the third being equal to 1 mile since 24 is 3 miles) being 8, leaving you with 56 minutes for her 7 mile run.

Answer:

3

Step-by-step explanation:

Cubes have 6 sides

you have 2 cubes

there are 3 ways to get a 6

1+5 -> 2+4 -> 3+3

Answer:

\(y=\frac{-5}{2}x+1.5\)

Step-by-step explanation:

Well the equation we have \(y-4=\frac{-5}{2}(x-2)\) is in slope-point form so we have to transfer it to slope intercept look at the first image below to see how I got \(y=\frac{-5}{2}x+9\).

So we know that line T which is parallel to line S crosses through point (-1,4)

and we know that the slope stays the same and that its the y intercept has to change so the answer is \(y=\frac{-5}{2}x+1.5\). Look at the image second below.

A 30-year ARM mortgage loan means that the borrower will have a fixed interest rate for the first 30 years of the loan. After that, the interest rate will adjust annually based on the index and margin.

In this case, the start rate is 3.50%. This means that for the first year, the borrower will pay interest at a rate of 3.50%. At the end of the first year, the interest rate will adjust based on the index and margin.
The index used for this mortgage is MTA, which was 3.00% at the start of the loan. At the end of the first year, the MTA was 4.45%, and at the end of the second year, it was 4.50%.
To calculate the new interest rate at the end of each year, we need to add the margin to the current index rate. The margin is 3.00% and remains the same for the duration of the loan.

Let's calculate the new interest rate at the end of the first year:
New Interest Rate = Current Index Rate + Margin
New Interest Rate = 4.45% + 3.00%
New Interest Rate = 7.45%

However, the rate caps limit how much the interest rate can increase or decrease. In this case, the rate caps are 3/2/6, which means that the interest rate can increase by a maximum of 3 percentage points after the first adjustment, 2 percentage points for subsequent adjustments, and 6 percentage points over the life of the loan.

Since the new interest rate calculated above (7.45%) exceeds the rate cap of 3 percentage points for the first adjustment, the interest rate will be capped at the maximum allowed increase. Therefore, the new interest rate at the end of the first year will be 6.50%.

For subsequent adjustments, the interest rate can increase by a maximum of 2 percentage points. Let's calculate the new interest rate at the end of the second year:
New Interest Rate = Current Index Rate + Margin
New Interest Rate = 4.50% + 3.00%
New Interest Rate = 7.50%

Since the new interest rate calculated above (7.50%) exceeds the rate cap of 2 percentage points, the interest rate will be capped at the maximum allowed increase. Therefore, the new interest rate at the end of the second year will be 6.50%.

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Answer:

25 minutes

Step-by-step explanation:

50÷10=5

5×5=25

hopefully this helps :)

The correct solution to this problem is option e. 1/e. We can find it in the following manner.

The time constant of an RC circuit is the time in which the current decreases to 1/e (approximately 0.368) of its initial value.

This can be derived from the equation for the current in an RC circuit:

\(I=10 * e^({-t/RC} )\)

where I is current at time t, I0 is the initial current, R is the resistance, C is the capacitance, and e is the mathematical constant approximately equal to 2.71828.

To find the time constant, we set the exponent to -1:

\(e^({-t/RC} ) = 1 /e\)

Solving for t/RC, we get:

t/RC = 1

Therefore, the time constant is equal to RC, and the current decreases to 1/e of its initial value in one time constant.

So the answer is e. 1/e.

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Using it's concept, the experimental probability of getting an odd number and a number greater than 6 is given by:

1/5.

A probability is given by the number of desired outcomes divided by the number of total outcomes. An experimental probability is calculated considering the results of previous trials.

In this problem, there are 10 trials, and of those, 2 of them, trial 8 and trial 10, resulted in an odd number and a number greater than 6, hence the probability is:

p = 2/10 = 1/5.

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The solution to the system of equations y = 1.5x - 4 and y = -x  is (1.6,-1.6). The correct answer is D.

The solution to the system of equations can be calculate as follows

From the question we can conclude that the equations are :

y = 1.5x - 4

y = -x

to find the value of x and y  we can substitute y = -x in the first equation so it became

-x = 1.5x - 4

-1.5x - x = -4

-2.5x = -4

x = 1.6

after we found the value of x we can find the value of y by Substitute

x = 1.6 in y = -x

y = -1.6

Therefore, the solution to the y = 1.5x - 4 and y = -x  is (1.6,-1.6).

Your question is incomplete but most probably your full question was

What is the solution to the system of equations y = 1.5x – 4 y = –x

a.(–1.6, 1.6)

b.(–1.5, 1.5)

c. (1.5, –1.5)

d. (1.6, –1.6)

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(a) Without more information, we cannot determine the initial number of insects. (b) The differential equation satisfied by P(t) is: dP/dt = kP, where k is the growth rate of the insect population.

(c) To find the time it takes for the population to double, we can use the formula:

2P(0) = P(0)e^(kt)

where P(0) is the initial population size. Solving for t, we get:

t = ln(2)/k

(d) Without more information, we cannot determine the time at which the population will equal a certain value.
Hi! To answer your question, I need the specific function P(t). However, I can provide you with a general framework to answer each part of your question once you have the function.

(a) To find the initial number of insects, evaluate P(t) at t=0:
P(0) = [Insert the function with t=0]

(b) To find the differential equation satisfied by P(t), differentiate P(t) with respect to t:
dP(t)/dt = [Insert the derivative of the function]

(c) To find the time at which the population doubles, first determine the initial population, P(0), then solve for t when P(t) is twice that value:
2*P(0) = P(t)
Solve for t: [Insert the solution for t]

(d) To find the time at which the population equals a specific value (let's call it N), set P(t) equal to N and solve for t:
N = P(t)
Solve for t: [Insert the solution for t]

Once you have the specific function P(t), you can follow these steps to find the answers to each part of your question.

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Each equation should be matched to its number of solutions as follows;

–2(3x – 1) = –6x – 1  ⇒ no solution.

2(3x – 1) = 6x – 2      ⇒ infinitely many solutions.

2(3x – 1) = –6x – 2    ⇒ one solution.

In Mathematics, an equation is said to have an infinitely many solution when the left hand side and right hand side of the equation are the same or equal.

This ultimately implies that, an equation would have infinitely many solutions when both sides of the equal sign are the same, and both the slope and intercept for the two lines are the same.

In Mathematics, no solution is also referred to as zero solution, and an equation is said to have no solution when the left hand side and right hand side of the equation are not the same or equal.

Next, we would evaluate each of the given equations as follows;

-2(3x - 1) = -6x - 1

-6x + 2 = -6x - 1

-6x + 6x = -1 - 2

0x = -3 (no solution)

2(3x - 1) = 6x - 2

6x - 2 = 6x - 2 (infinitely many solutions)

2(3x - 1) = -6x - 2

6x - 2 = -6x - 2

6x + 6x = -2 + 2

12x = 0 (one solution).

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