50PTS!!!! NEED 5min!!

In 2009 the price of gas was $2.00 and in 2018 the price was $3.00, use this information to answer the following:

1. Give the average rate of change from 2009 to 2018. Label the
answer with a unit rate.

2. Assume the trend from 2009 to 2018 continues, use the average
rate of change from part e to compute the cost of gas in 2025

Answer:

Step-by-step explanation:

The option that would be most advantageous for Lilo would be to make her interest payments weekly.

This is because making payments more frequently can reduce the overall interest paid on the loan because interest is calculated based on the outstanding balance of the loan. By making payments more frequently, the outstanding balance is reduced faster, resulting in less interest being charged.

Assuming a standard 52-week year, the weekly interest payment on $10,000 at a 4% rate is $7.69. The total annual interest paid would be $399.88.

If Lilo chose to make monthly payments, the interest rate would remain the same, but the total annual interest paid would be slightly higher due to the interest being calculated over a longer period of time. The monthly interest payment would be $33.33 and the total annual interest paid would be $400.

If Lilo chose to make quarterly payments, the interest would still be calculated based on the outstanding balance, but the longer intervals between payments would result in a higher overall interest cost. The quarterly interest payment would be $100 and the total annual interest paid would be $400.

Therefore, making interest payments weekly would result in the lowest overall interest cost for Lilo.

Answer:

7mm:10mm

Step-by-step explanation:

1cm =10mm

so 7:10

The LCM of 45, 60, 75 = 900

Explanation:

we find each of their factors

45 = 3×3×5

60 = 2×2×3×5

75 = 3×5×5

LCM = least common multiple

we do an illustration:

The LCM of 45, 60, 75 = 2× 2 ×3×3×5×5 = 900

The LCM of 45, 60, 75 = 900

Answer:

the answer is C. because the factor was 36x^3-15x^2-6x so i got 3(x^2+1)(4×-1)

Answer:

he ill buy 0.06 reptile stickers and 0.09 fish sticker sheets

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

big boy

Answer:

Hope it helps!

Step-by-step explanation:

The general form of a cubic function is y = ax3 + bx + cx + d where a , b, c and d are real numbers and a is not zero. We can graph cubic functions by plotting points.

A cubic function is any function of the form y = ax^3 + bx^2 + cx + d, where a, b, c, and d are constants, and a is not equal to zero, or a polynomial functions with the highest exponent equal to 3. These types of functions are extremely prevalent in applications involving volume.

Credits;

Graphs of Cubic Functions (solutions, examples, videos)

Cubic Function: Definition, Formula & Examples - Video & Lesson

Answer:

r= 1.69

Step-by-step explanation:

Answer:

$2

Step-by-step explanation:

5 x 2 = 10

5 pens x 2 dollars = $10

$20 -$10 = $10 left

Assuming that the position mentioned in the question is not specified, I cannot provide a specific answer for the direction of the electric field. However, I can explain the significance of the given value of r = 5.6 cm and how to express it to two significant figures.

The value of r is the distance from the electric charge or charges generating the electric field to the position where the field is being measured. It is given in centimeters (cm), which is a unit of length in the metric system. To express the value of r to two significant figures, we look at the first two digits after the decimal point, which are 5 and 6. The third digit, which is 0, is ignored because it is less than 5. Therefore, the value of r to two significant figures is 5.6 cm.

In order to determine the direction of the electric field, more information is needed such as the magnitude and location of the charge or charges creating the field and the location of the position where the field is being measured. Without this information, it is not possible to provide an answer for the direction of the electric field.

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Consider the function f(x, y) = exy + kx tan(y) where k is a constant. Find all the second partial derivatives of f(x, y) and verify that Clairaut's Theorem holds.

To find the second partial derivatives, we first compute the first partial derivatives:

∂f/∂x = yexy + k tan(y)

∂f/∂y = xexy + kx sec^2(y)

Next, we differentiate the first partial derivatives with respect to x and y to find the second partial derivatives:

∂²f/∂x² = ∂/∂x (∂f/∂x) = y^2exy

∂²f/∂y² = ∂/∂y (∂f/∂y) = x^2exy + kx sec^2(y) tan(y)

∂²f/∂x∂y = ∂/∂x (∂f/∂y) = yexy + k sec^2(y)

∂²f/∂y∂x = ∂/∂y (∂f/∂x) = yexy + k sec^2(y)

To verify Clairaut's Theorem, we compare the mixed partial derivatives:

∂²f/∂x∂y = yexy + k sec^2(y)

∂²f/∂y∂x = yexy + k sec^2(y)

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Answer:

125%

Step-by-step explanation:

1. Set up the equation

425/340 = x/100

(percentages are out of 100 so this equation means 425 out of 340 is equal to a number out of 100)

2. Cross multiply

340x = 42500

3. Solve for x

x = 125

Answer:

125%

Step-by-step explanation:

425-340 is 85.

85 of 340 is 0.25, which means it is 25% of 240.

Since 425 is greater than 340, add 100% to the 25% you found with 85.

425 = 300 + 85

y = 100% + 25%

125%

A M function file 'tconvert.m', which can convert coordinates (x, y) into Polar from Cartesian coordinates. is:
"```matlab
function [theta, r] = tconvert(x, y)
```"

To create the M function file 'tconvert.m' that converts Cartesian coordinates (x, y) into Polar coordinates, follow these steps:

1. Open the MATLAB Editor or any text editor and create a new file named 'tconvert.m'.

2. In the file, start with the function declaration line: `function [theta, r] = tconvert(x, y)`.

3. Inside the function, write the conversion code using MATLAB's built-in functions:

  - Calculate the angle theta using `atan2(y, x)`, which returns the angle in radians.

  - Calculate the radius r using `sqrt(x^2 + y^2)`, which gives the distance from the origin.

4. End the function with the `end` keyword.

5. Save the file in a directory accessible by MATLAB.

The function 'tconvert' takes the Cartesian coordinates (x, y) as input and returns the corresponding Polar coordinates (theta, r). The angle theta represents the direction in radians, and the radius r represents the distance from the origin.

The function can be called from the MATLAB command window or from another script or function file.

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Complete question:

Write a M function file 'tconvert.m', which can convert from Cartesian coordinates (x,y) into Polar coordinates.

It will take Joey's family approximately 21 months to save enough money, compounded monthly at a 5% interest rate, to finance their vacation trip to the amusement park.

To determine the time it will take to save enough money, we can use the formula for the future value of an ordinary annuity:

FV = P * [(1 + r)^n - 1] / r,

where FV is the future value, P is the monthly payment, r is the monthly interest rate, and n is the number of periods.

Given:

Desired future value (FV) = $5000,

Monthly payment (P) = $240,

Monthly interest rate (r) = 5% / 12 = 0.05 / 12 = 0.004167.

We need to solve for the number of periods (n) in the formula. Rearranging the formula, we have:

n = log(1 + (FV * r) / P) / log(1 + r),

where log denotes the logarithm with base 10.

Plugging in the given values, we get:

n = log(1 + ($5000 * 0.004167) / $240) / log(1 + 0.004167).

Using a calculator, we find that n is approximately 20.998, which rounds up to 21.

Therefore, it will take Joey's family approximately 21 months to save enough money, compounded monthly at a 5% interest rate, to finance their vacation trip to the amusement park.

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The maximum area that the farmer can enclose for the rectangular garden is 488 sq ft and the dimensions of the rectangular garden are 24ft and 12 ft respectively.

It is given that a farmer decided to enclose a rectangular garden with one side using the barn of a tree and other 3 sides with 48 ft of fencing.

Let the length of the rectangle be y and the breadth of the rectangle be u.

So perimeter of the fencing needed = y + 2u (as one side is barn)

∴ y + 2u = 48

⇒ y = 48 - 2u (equation 1)

Area = yu (equation 2)

Putting the value of variable y from equation 1 in equation 2 we have,

Area = (48-2u)u

∴ Area = 48u - 2\(u^{2}\)

⇒ Area = -2\(u^{2}\) + 48u

⇒ Area = -2(\(u^{2}\) - 24u)

⇒ Area = -2(\(u^{2}\) - 24u + 144) + 288   (using completing the square method)

⇒ Area = -2\((u-12)^{2}\) + 288

So the maximum area is 288 sq units as for any value of u the area value will decrease as seen from the above equation.

So if Area = 288

Then yu = 288

⇒ u = 288/y equation 3

Putting this value in Perimeter equation 1 we have,

y = 48 - 2u

⇒ y = 48 - 2 x \(\frac{288}{y}\)

⇒ \(y^{2} = 48y - 576\)

⇒ \(y^{2} - 48y + 576 = 0\)

⇒ \((y-24)^{2}\) = 0

Solving we get y = 24 ft

Hence the value of u is calculated as follows:

⇒ u = 288 / y

⇒ u = 288/ 24 = 12 ft

The maximum area that the farmer can enclose is 488 sq ft and the dimensions of the rectangle are 24ft and 12 ft respectively.

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Answer:

3.162

Step-by-step explanation:

on a calculator type in sqrt of 10 and round it to three decimal places

To estimate the number of subscribers as a single digit times an integer power of 10, we can round the given number to the nearest power of 10.

The given number of subscribers is 77,000.

Rounding 77,000 to the nearest power of 10 (which is 10^4 or 10,000), we get:

77,000 ≈ 8 × 10,000

So, an estimate for the number of subscribers as a single digit times an integer power of 10 would be 80,000.

The total surface area of the cylinder is approximately 116.28 cm² (rounded to two decimal places).

To find the surface area of the cylinder, we need to first find the height of the cylinder. We know that the circumference of the base of the cylinder is equal to the length of the square paper, which is 10 cm.

The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius. Since we know that the circumference is 10 cm, we can solve for the radius:

10 = 2πr

r = 5/π

Now that we know the radius, we can find the height of the cylinder. The height is equal to the length of the square paper, which is 10 cm.

So, the surface area of the lateral surface of the cylinder is given by:

Lateral Surface Area = 2πrh

= 2π(5/π)(10)

= 100 cm²

The surface area of each end of the cylinder (i.e., top and bottom) is equal to πr². So, the total surface area of both ends is:

Total End Surface Area = 2πr²

= 2π(5/π)²

= 50/π cm²

Therefore, the total surface area of the cylinder is:

Total Surface Area = Lateral Surface Area + Total End Surface Area

= 100 + (50/π)

≈ 116.28 cm² (rounded to two decimal places)

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Answer:

t=t

Step-by-step explanation:

we need h

If we define our population as all the households in the city of Chicago and use the Chicago telephone directory to draw our sample units, we would likely have a survey with sample frame error. Correct option is A.

Sample frame error occurs when the sampling frame, in this case, the Chicago telephone directory, does not accurately represent the population of interest.

In this case, the telephone directory would exclude households without a landline phone or those who choose not to have their phone number listed. This means that the sample would not include all households in the population, leading to biased results.

A representative survey (option B) would be one in which the sample accurately represents the population in terms of relevant characteristics such as age, gender, income, education, and other important demographic factors.

In contrast, a survey containing error (option C) is a general term that includes both sampling error and non-sampling error, such as measurement error or response bias.

Finally, a census (option D) is a study in which data is collected from all individuals or units in a population, not just a sample. Therefore, using a telephone directory to draw a sample from the population does not constitute a census.

In conclusion, using the Chicago telephone directory to draw a sample of households would likely result in a survey with sample frame error, which can lead to biased results and limit the generalizability of the findings to the entire population.

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Answer:

B

Step-by-step explanation:

On a graph you go rise over run (or Y divided by X) which in this equation is 1 divided by 2 which equals 1/2. You also need to look at what number is being crossed on the y axis, which in this case is 1. Slope intercept form is y=mx+b with m being the slope (1/2) and b being the y intercept (1)

Answer:

B. y = 1/2x + 1

Step-by-step explanation:

I went ahead and graphed each of the answer options for you and when I graphed for B it gave me:

The probability that both events will occur is 0.22.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

The probability of Event A is 2/6 or 1/3

(since there are two ways to get a 1 or 2 on a six-sided die).

The probability of Event B is 4/6 or 2/3

(since there are four ways to get a number 4 or less on a six-sided die).

Using the formula for the probability of the intersection of two independent events.

P(A and B)

= P(A) x P(B)

= (1/3) x (2/3)

= 2/9

Rounded to the nearest hundredth,

The probability that both events will occur is 0.22.

Thus,

The probability that both events will occur is 0.22.

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The probability that a randomly selected orphan pet in an animal shelter in Austin is a dog is 24.50%.

The probability that a randomly selected orphaned dog in the same animal shelter in Austin is a Chihuahua is 2.76%.

The probability of a given event happening or not happening is usually calculated as a ratio of two values expressed as a fraction or a percentage.

The formula for determining probability is given below:

The probability of the given events is obtained from the table.

From the table of probabilities;

The probability that a randomly selected orphan pet in an animal shelter in Austin is a dog is 24.50%.

The probability that a randomly selected orphaned dog in the same animal shelter in Austin is a Chihuahua is 2.76%.

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The radius of the circle expressed as a mixed number is:  \(3\frac{11}{12}\) inches.

Radius of a circle = half the measure of the diameter of a circle.

Given:

diameter of a circle = \(7\frac{5}{6}\) inches

Therefore:

Radius of the circle = 1/2(\(7\frac{5}{6}\))

= 1/2(47/6)

= (1 × 47)/(2 × 6)

= 47/12

= \(3\frac{11}{12}\) inches.

Therefore, the radius of the circle expressed as a mixed number is:  \(3\frac{11}{12}\) inches.

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4 significant digit the quotient have.

Significant digit are the important digit in a number which convey the accuracy. all non zero numbers are significant and zero between two non zero is a significant digit and all zeros at the right of decimal is significant digit in number.

Given numbers are 2.058 * 10^9 and 3.0571 * 10^-4

To calculate the division first we have to solve the exponent.

In divide we subtract the powers

10^(9-(-4)) = 10^13

Now do the division

(2.058 ÷ 3.0571)*10^13 = 0.67318*10^13 = 0.6732 *10^13

=6.732 * 10^12

Number of significant digit are 4.

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The angle with the largest measure is opposite the longest side. So the angle in triangle ABC has the largest measure is b) B.

A triangle is a geometric shape that has three vertices and three sides. The sides of a triangle are line segments of three different line segments. Meanwhile, the angles in a triangle are the intersections of two line segments that intersect at one point. Between the length and the size of the angle in a triangle has a proportional relationship, the greater the angle in the triangle, the longer the side opposite the angle.

Types of triangles include many different shapes but still have parts consisting of three sides and three angles. These types of triangles include equilateral triangles, isosceles triangles, arbitrary triangles, right triangles, obtuse triangles, and acute triangles.

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The percentage of evergreen trees from the total combination of trees is 79%

The percentage of evergreen trees will be calculated using the formula -

Percentage of evergreen trees = number of evergreen trees/total number of trees × 100

Total number of trees = number of evergreen + deciduous trees

Total trees = 3160 + 840

Total trees = 4000

Percentage of evergreen trees = 3160/4000 × 100

Cancelled common zeroes in numerator and denominator and performing division

Percentage = 79%

Hence, the percentage of evergreen trees is 79%.

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Answer:

Napagaralan nmin yan

Step-by-step explanation:

Nakalimutan ko na