which of the following representation shows y as a function of x

To solve the expression 1 - (1 + 0.04/12)^(-12x10), you can follow these steps: Step 1: Simplify the exponent. In this case, -12x10 simplifies to -120.

Step 2: Evaluate the term within the parentheses first. 0.04/12 simplifies to 0.0033333 (approximately).

Step 3: Add 1 to 0.0033333 to get 1.0033333.

Step 4: Raise 1.0033333 to the power of -120.

Step 5: Calculate the value inside the parentheses using a calculator or software. The result is approximately 0.742657.

Step 6: Subtract the value obtained in Step 5 from 1.

1 - 0.742657 = 0.257343 (approximately).

Hence, the value of the expression 1 - (1 + 0.04/12)^(-12x10) is approximately 0.257343.

It's important to follow the order of operations (PEMDAS/BODMAS) when solving mathematical expressions. In this case, the exponent is evaluated first, followed by addition and subtraction. Utilizing a calculator or software that supports exponentiation and parentheses can help simplify complex expressions and obtain accurate results efficiently.

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There will be 12 slices of pizza left over, which can be expressed as 3/2 or 1 1/2 slices in fraction form.

To find out how much pizza will be left over, we need to calculate the total number of slices available and subtract the number of slices consumed by the players.

Given that there are six pizzas and each pizza has eight slices, the total number of slices available is 6 pizzas * 8 slices/pizza = 48 slices.

Since there are 36 players on the team, and each player has one slice, the total number of slices consumed is 36 slices.

To determine the remaining slices, we subtract the consumed slices from the total available slices: 48 slices - 36 slices = 12 slices.

Therefore, there will be 12 slices of pizza left over.

To express this as a fraction, we can write it as 12/1, which simplifies to 12. This means there will be 12 whole slices of pizza left over.

If you would like to express it as a fraction in its simplest form, you can write it as 12/8. By dividing both the numerator and denominator by their greatest common divisor, which is 4, we get 3/2. So, in fraction form, there will be 3/2 or 1 1/2 slices of pizza left over.

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Answer:

Your answer is B

Step-by-step explanation:

24/3 = 8

20/4 = 5

8-5 = 3

So, its 24 miles in 3 hours

Answer:

y = 3/5x + 4/5 (1st Option)

Step-by-step explanation:

Step 1: Write known variables

m = 3/5

y = 3/5x + b

Step 2: Find b

-1 = 3/5(-3) + b

-1 = -9/5 + b

b = 4/5

Step 3: Rewrite equation

y = 3/5x + 4/5

Answer:

in short it's y = 3/5x + 4/5

good luck!

-Rainbow Dash

Answer:

12 liters per minute.

Step-by-step explanation:

41litres-5litres=36

If 36litres are filled up within 3 min,how many litres will be filled within 1 min

1/3×36=12

=12 litres per min

Answer: To find the derivative of the function h(x), we can use the quotient rule, which states that if f(x) = u(x) / v(x), then f'(x) = [v(x)u'(x) - u(x)v'(x)] / [v(x)]^2.

Using this rule, we can find the derivative of h(x) as follows:

h(x) = (x + 2) / (x - 2)

h'(x) = [(x - 2)(1) - (x + 2)(1)] / (x - 2)^2 // apply the quotient rule and differentiate numerator and denominator

h'(x) = (-2 - 2x) / (x - 2)^2

Therefore, the derivative of h(x) is h'(x) = (-2 - 2x) / (x - 2)^2.

Step-by-step explanation:

Answer:

I could be wrong, but I believe that the answer is D, none. This is because there is only proof of one congruent side and angle.

Step-by-step explanation:

None of the options can prove that the triangles are congruent so option (D) will be correct.

If two figures are exactly the same in sense of their length side all things then they will be congruent.

If it is possible to superimpose one geometric figure on the other so that their entire surface coincides, that geometric figure is said to be congruent or to be in the relation of congruence.

In other meaning, if you can copy a figure then that copy and the original figure will be congruent.

In the given figure only one side and one angle are the same.

But for congruency three pairs should be the same which is not present in the figure hence none of the above is valid

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The equation shows that the pounds of potato that Sarah must purchase in order to qualify for the stores promotional sale is 3.16 pounds.

Based on the information given, the equation will be:

(4.75 × x) + 85 >= 100

4.75x + 85 >= 100

4.75x >= 100 - 85

4.75x >= 15

x >= 15/4.75

x >= 3.16

Therefore, the equation shows that the pounds of potato that Sarah must purchase in order to qualify for the stores promotional sale is 3.16 pounds.

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A study based on a population sample that includes 2000 respondents would be the most reliable out of the given options.

In statistical analysis, the reliability of a study depends on the representativeness and size of the sample.

A larger sample size generally provides more reliable results as it reduces the sampling error and increases the precision of the estimates.

Given that the population contains 20,000 people, we need to consider which number of respondents would yield the most reliable study.

Option A: 200 respondents

This represents only 1% of the population.

While it is better than having just 2 respondents, it may not be sufficient to accurately capture the characteristics of the entire population.

Option B: 20 respondents

This represents only 0.1% of the population.

With such a small sample size, the study would likely suffer from a high sampling error and may not provide reliable results.

Option C: 2000 respondents

This represents 10% of the population.

While it is a larger sample size compared to the previous options, it still only captures a fraction of the population.

The study may provide reasonably reliable results, but there is room for potential sampling error.

Option D: 2 respondents

This represents an extremely small sample size, accounting for only 0.01% of the population.

With such a small sample, the study would be highly susceptible to sampling bias and would likely yield unreliable results.

Based on the options provided, option C with 2000 respondents would be the most reliable study.

Although it does not include the entire population, a sample size of 2000 respondents provides a larger representation of the population and reduces the potential for sampling error.

However, it's important to note that the reliability of a study depends not only on sample size but also on the sampling method, data collection techniques, and other factors that ensure representativeness.

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Answer:

3.36 quarts of paint

Step-by-step explanation:

In this question, we're trying to find how much paint she will need to cover the night stand.

First, we need to find the area.

Solve for the area (rectangle = l * w):

42 · 28 = 1176

Now, we know that 1 quart of paint covers 350 square inches.

To find how much paint she needs, divide 1176 by 350:

1176/350 = 3.36

This means that she needs 3.36 quarts of paint to cover her whole nightstand.

Answer:

To determine the possible degree(s) of a function from the graph alone, you need to examine the behavior of the graph at the extremes (far left and far right) and consider the number of turning points or changes in direction. Here's a step-by-step approach:

Look at the far left side of the graph: Determine the behavior of the graph as it approaches negative infinity. Does the graph approach a specific value, such as a horizontal line (asymptote) or the x-axis? If the graph approaches a horizontal line, it suggests a polynomial function of even degree. If the graph approaches the x-axis, it indicates a polynomial function of odd degree or possibly a function with a root of multiplicity greater than one.

Look at the far right side of the graph: Determine the behavior of the graph as it approaches positive infinity. Similar to step 1, observe if the graph approaches a specific value or a horizontal line. The behavior at the far right side should be consistent with the behavior at the far left side. This can help you identify if the function is even or odd degree.

Examine the number of turning points or changes in direction: Count the number of times the graph changes direction. These points are where the slope of the graph changes from positive to negative or vice versa. The number of turning points can provide an indication of the degree of the polynomial. For example, if there are two turning points, it suggests a polynomial function of degree 3.

Remember that this method provides potential degrees, but it may not definitively determine the exact degree of the function. Additional information or analysis might be required for a more accurate determination.

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Answer:

Hi there!

Step-by-step explanation:

Its 1.3

To determine the area of the remaining piece of cardboard expressed in terms of x when a square of side length x inches is cut out from a rectangular piece of cardboard having a length of 6x+2 inches and a width of 2x-4 inches, use the following steps.

Draw and label a diagram of the problem. The rectangle should be labeled as 6x+2 inches by 2x-4 inches, and the square cut out should be labeled as x inches by x inches. This is how the diagram looks like: Determine the area of the rectangle, Arect.

The area of the rectangle is given by the product of its length and width. Thus, Arect = (6x + 2)(2x - 4) Determine the area of the square, Asq. The area of the square is given by the square of its side length. Thus, Asq = x²Step 4: Determine the area of the remaining cardboard after the square is cut out, Ar.

This is the difference between the area of the rectangle and the area of the square. Thus, Ar = Arect - Asq= (6x + 2)(2x - 4) - x²= 12x² - 20x - 16

Simplify the expression. The final answer is given in terms of x. Thus, Ar = 12x² - 20x - 16.The area of the remaining piece of cardboard is expressed in terms of x as 12x² - 20x - 16.

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Answer:

(L-6)(L+2)

Step-by-step explanation:

Let L be the length of the flower garden.

Then the width will be L-4.

The area of the flower garden = L*(L-4) =L²-4L

The area of the birdbath is 3*4 = 12 ft²

The area of the remaining space for planting is

= Area of flower garden - area of birdbath

We can factor the expression as follows:

taking common frome each two terms

Therefore, the number of feet left for planting is (L-6)(L+2) in factored form.

Whwn the line of sight from the park ranger station, P, to the lifeguard chair, L, the length of PL is 0.76 miles.

It should be noted that since the line of sight from the park ranger station, P, to the lifeguard chair, L, on the beach of a lake is perpendicular to the path joining the campground, C, and the first aid station, F, then the path from the park ranger station to the lifeguard chair is the hypotenuse of a right triangle with legs of 0.35 miles and 0.65 miles.

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs. Therefore, the length of PL is equal to:

= ✓(0.35² + 0.65²)

= 0.76 miles.

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Answer:

7y-15

Step-by-step explanation:

10y-3(y+5)

=10y-3y-15

=7y-15

Hope it helped :)

Answer:

Step-by-step explanation:

if 2 is 3 away from 5 then the answer must be 8 and if 6 is 6 away from 12 just add 6 it must be 18

so answer is (8,18)

The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:

Simplify the numerator:

√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)

= √2m√5z√6

Simplify the denominator:

√(xy) = √(x) * √(y)

Combine the numerator and denominator:

√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)

Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

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Answer:

Its C: 12 units × 8 units are the dimensions of the rectangle

Step-by-step explanation:

Answer: 4500% i think

Step-by-step explanation: no explanations pls

Answer:

The answer is 194000

Step-by-step explanation:

It is closer to 194000 than 195000

Answer:

Hence the total cost of developing a garden is around Rs. 17,875.

Step-by-step explanation:

Side of the square plot = 25 m

Formula: Area of the square plot =  square of the side = (side)2

= (25)2 = 625

Therefore the area of the square plot is 625 m2

Length of the house = 20 m and

The breadth of the house = 15 m

Area of the house = length×breadth

= 20×15 = 300 m2

Area of the garden = Area of the square plot – Area of the house

= 625–300 = 325 m2

∵ The cost of developing the garden per sq. m is Rs. 55

The cost of developing the garden 325 sq. m = Rs. 55×325

= Rs. 17,875

Hence the total cost of developing a garden is around Rs. 17,875.

Answer:  x2 + y2. − 4x + 5y − 8=0.

Step-by-step explanation:

Answer:

\(\dfrac{dy}{dx}=\dfrac{1}{2y}\)

Step-by-step explanation:

Given equation:

\(y^2=x\)

Differentiate:

\(\implies y^2\:\dfrac{d}{dx}=x\:\dfrac{d}{dx}\)

\(\implies 2y\:\dfrac{dy}{dx}=1\)

\(\implies \dfrac{dy}{dx}=\dfrac{1}{2y}\)

Answer:

I'm pretty sure the answer is 9

Answer: 20% of the time.

Step-by-step explanation: 5+3+2 = 10 There are 2 blue so 2/10=1/5=20%

Answer:

C=0.15t

Step-by-step explanation:

It costs 0.15 per text, so if you multiply that by t, (the number of texts you get), you'll get C, (the total cost).
It also says that he does not call anyone, so we do not need to consider that.

Answer:

C = 0.15t

Step-by-step explanation:

Let t = number of texts sent

Let C = total cost

If one text costs $0.15 to send, and Jaden only texts, then the total cost will be:

C = 0.15t

Answer:

Number 2

Step-by-step explanation:

The numbers are close to each other. (Only goes from 721-730). The dot plot line will be smaller.

Therefore, if the time is between 8:00 a.m. and 3:00 p.m., then people may make withdrawals or deposits at the bank.

This conclusion is based on the given premises that the bank is open during the time between 8:00 a.m. and 3:00 p.m. and that when the bank is open, people may make withdrawals or deposits. By combining these premises with modus ponens (a valid form of deductive reasoning), we can infer that if the time is within the bank's operating hours, then people may make withdrawals or deposits at the bank.