Kelly has $4000 in her bank account. She is withdrawing $80 per month to pay off a loan. Dylan has only $1500 in his
bank account but is saving $60 per month. After how many months will Dylan’s account have more money than Kelly?

You can use the circumference of the circle that the blade makes to calculate the linear velocity at the end of the blade.

The linear velocity at the end of the blade is 13571.7 inches per minute

You can think of it as if some circle is being drawn by the end of the blade and then that circle is like wheel of a bicycle and its travelling on road. Each rotation will make it cover distance equal to its circumference. Since there are 60 revolutions of the blade in each minute, thus, 60 rounds of that wheel.

The total distance in 1 minute = 60 times circumference of the circle made by the end of the blade of the lawnmower.

Since the blade is 36 inches long, it can be taken as radius of that circle.

The circumference is thus calculated as \(2 \times \pi \times 36 = 226.19 \: \rm inches\)

Thus, linear velocity = 226.19 times 60 inches per minute = 13571.7 inches per minute

Thus,

The linear velocity at the end of the blade is 13571.7 inches per minute

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Answer:

i think its D or 4,320pi

Step-by-step explanation:

just divided the previous persons answer by pi and its d on edge 2022.

Answer:22.20140

Step-by-step explanation:

43,218 = 100%

9,595 = x

9595(100) divided by 43,218 = 22.201397

The probability of rolling a 2 when rolling two dice is 1/36. This is because there are 36 possible outcomes when rolling two dice, and only one of those outcomes is a 2.

To calculate the probability of rolling a 2, we need to consider all of the possible outcomes. There are 6 possible outcomes for each die, so there are a total of 6 x 6 = 36 possible outcomes when rolling two dice. Only one of these outcomes is a 2, so the probability of rolling a 2 is 1/36.

It is also possible to calculate the probability of rolling a 2 by using the formula for the probability of two independent events. In this case, the two independent events are rolling a 2 on the first die and rolling a 2 on the second die.

The probability of rolling a 2 on any given die is 1/6, so the probability of rolling a 2 on both dice is 1/6 x 1/6 = 1/36.

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The possible functions are

A. F(x)=2x^2-8x-42

B. F(x)=5x^2+20x-105

C. F(x)=x^2+4x-21

The zeros are given as:

x = -7 and x = 3

Rewrite as:

x +7 = 0 and x - 3 = 0

Multiply both zeros

(x + 7) * (x - 3) = 0 * 0

Evaluate the product

x^2 + 7x - 3x - 21 = 0

Evaluate the like terms

x^2 + 4x - 21 = 0

Express as a function

f(x) = a(x^2 + 4x - 21)

Where a is a constant

Let a = 1, 2 and  5 (according to the values in the options)

f(x) = 1 * (x^2 + 4x - 21) = x^2 + 4x - 21 --- option (c)

f(x) = 2 * (x^2 + 4x - 21) = 2x^2 + 8x - 42 --- option (a)

f(x) = 5 * (x^2 + 4x - 21) = 5x^2 + 20x - 105 --- option (b)

Hence, the possible functions are (a), (b) and (c)

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The required sample size is 907.

We have,

To determine the required sample size for estimating the fraction of new car buyers who prefer foreign cars over domestic with a 95% confidence level and an error of at most 0.03, we'll use the following formula:
n = (Z² x p  (1 - p)) / E²
Where:
- n is the required sample size
- Z is the Z-score for the desired confidence level (1.96 for a 95% confidence level)
- p is the estimated population proportion (0.31)
- E is the margin of error (0.03)

Step-by-step calculation:
1. Calculate Z²: 1.96² = 3.8416
2. Calculate p (1 - p): 0.31 x (1 - 0.31) = 0.2139
3. Calculate E²: 0.03² = 0.0009
4. Substitute these values into the formula: n = (3.8416 x 0.2139) / 0.0009 = 906.92

Since we need to round up to the next integer, the required sample size is 907.

Thus,

The required sample size is 907.

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Answer: Length=8, Width=4

Step-by-step explanation: I did this by trial and error, but you can also use an equation. The length is x+4, the width is x. Your equation would be x(x+4)=32. That is equal to x^2+4x=32. Solve this by completing the square. X^2+4x+ (4/2)^2=32+ (4/2)^2

X^2+4x+4=36. (X+2)(x+2)=36. X+2=6, x=4.

Answer:

6.28

Step-by-step explanation:

to find circumference of a circle you have to do 2×π×r

Therefore , the solution of the given question of triangle  comes out to be the only true option is A.

Any three points in a plane can be connected to create triangles, which have three sides and three angles. They were one of the very first geometric shapes to be studied. They are particularly important because any polygon, whether it has four, five, six, or n sides, may be split into a triangle.

Here,

Because angles 1 and 2 are close to one another, they are neighboring angles.

A They share a side and are near to each other, making them neighboring angles.

B. The angles are complimentary (add to 90 degrees) False—Angle 2 has a 90 degree angle.

C. They are additional angles. (add to 180) They do not create a straight line, which is untrue.

D. Vertical angles describe them. (Contrary angles) False, they are not created through the intersection of lines.

Therefore , the solution of the given question of triangle  comes out to be the only true option is A.

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Answer: 50

Step-by-Step Explanation:

To divide a non decimal number by a decimal number, we have to look at the number of places after the decimal point, in the denominator. Then we have to multiply the numerator and denominator (because if we multiply denominator with a number, we have to do the same on the numerator as well) with 10^the number of decimal places.

Here, we have 4/0.08 which has 2 decimal places. Hence we have to multiply the numerator and denominator with 10^2 which is 100.

Therefore,

= (4 * 100)/(0.08 * 100)

= 400/8

=> 50

Hence, 4/0.08 = 50

Answer:

(a) 0

(b) -3/26

Step-by-step explanation:

(a)

We essentially plug 1 in for x and 2 in for y.

Our expression is \(\frac{2x-y}{y^2+1}\), so making the correct substitutions yields:

\(\frac{2x-y}{y^2+1}=\frac{2*1-2}{2^2+1}=\frac{2-2}{4+1} =\frac{0}{5} =0\)

So, the answer for part (a) is 0.

(b)

Again, we're now plugging in 1 for x and 5 for y:

\(\frac{2x-y}{y^2+1}=\frac{2*1-5}{5^2+1}=\frac{2-5}{25+1} =\frac{-3}{26} =-\frac{3}{26}\)

So, the answer for part (b) is -3/26.

Step-by-step explanation:

So we have the rational expression \(\frac{2x -y}{y^{2} +1}\\\). All we have to do is to just plug the given values for what x and y are.

\(\frac{2x -y}{y^{2} +1}\\ \frac{2(1) -(2)}{(2)^{2} +1} \\ \frac{2 -(2)}{4+1} \\ \frac{0}{5} \\ 0\)

\(0\)

\(\frac{2x -y}{y^{2} +1}\\ \frac{2(1) -(5)}{(5)^{2} +1} \\ \frac{2 -(5)}{25+1} \\ \frac{-3}{26} \\ -\frac{3}{26}\)

\(-\frac{3}{26}\\\)

The correct statement is given as follows:

The function g(t) reveals the market value of the house increases by 3.6% each year.

An exponential function has the definition presented as follows:

\(y = ab^x\)

In which the parameters are given as follows:

The parameter b for this problem is given as follows:

b = 1.036.

As the parameter b has an absolute value greater than 1, the function is increasing, with a rate given as follows:

1.036 - 1 = 0.036 = 3.6% a year.

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The curve y = 8e^x has maximum curvature at the point (0, 8).there is no point where the second derivative equals zero,

To determine the point of maximum curvature on the curve y = 8e^x, we need to find the second derivative of the function and identify the point where it equals zero. The second derivative represents the rate of change of the slope, or the curvature, of the curve.

First, we find the first derivative of y = 8e^x with respect to x:

dy/dx = 8e^x

Then, we differentiate again to find the second derivative:

d²y/dx² = d(8e^x)/dx = 8e^x

Setting the second derivative equal to zero:

8e^x = 0

Exponential functions, such as e^x, are never equal to zero for any value of x. Therefore, there is no point where the second derivative equals zero, indicating that the curve y = 8e^x does not have any inflection points or points of maximum curvature.

However, we can determine the point where the curvature is the greatest by considering the graph of y = 8e^x. Since the exponential function e^x is always positive, the curve y = 8e^x is always concave up. This means that the curvature is positive throughout the curve, but there is no specific point of maximum curvature.    

In conclusion, the curve y = 8e^x does not have a point of maximum curvature but is always positively curved.  

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Answer:

Step-by-step explanation:

1)  5

2)  63

????

In a competitive market, we need to graph the market demand and supply curves and determine the equilibrium quantity. The equilibrium quantity represents the quantity at which the demand and supply curves intersect.

To sketch the supply and demand curves, we first need to gather information on the market demand and supply. The demand curve represents the quantity of ventilators that the four hospitals are willing to purchase at different prices, while the supply curve represents the quantity of ventilators that the four producers are willing to sell at different prices.

Using the multipoint drawing tool, we can plot the market demand curve based on the data provided for the hospitals. Label this line as 'Demand'. Next, using the same tool, we can plot the market supply curve based on the data provided for the producers. Label this line as 'Supply'.

The equilibrium quantity is determined at the point where the demand and supply curves intersect. It represents the quantity of ventilators that will be sold in the market. To find this point, we identify the quantity at which the demand and supply curves meet on the graph.

By following the instructions and accurately plotting the demand and supply curves, we can determine the equilibrium quantity of ventilators sold in the market.

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Explanation:

The given limit notation means we're approaching x = 3 from the left side. So start at say x = 0 and approach x = 3. We don't actually get to x = 3 itself, but instead just get closer and closer. Note how y gets closer to y = 1.5

False. The correct formula for the confidence interval is:

where  is the sample mean, s is the sample standard deviation, n is the sample size, and t(α/2, n-1) is the critical t-value from the t-distribution with n-1 degrees of freedom and a significance level of α/2.

In this case, the sample mean is 10, the sample standard deviation is 0.24, and the sample size is 120. The critical t-value for a 95% confidence interval with 119 degrees of freedom is approximately 1.98.

Substituting these values into the formula, we get:

10 ± 1.98 * 0.24/√120

Simplifying, we get:

10 ± 0.044

So the 95% confidence interval for the mean diameter of the 120 bearings in the sample is (9.956, 10.044). The statement in the question incorrectly uses 1.96 instead of the correct critical t-value of 1.98.

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Using the Desmos graphing calculator, I have created a picture that includes parallel and perpendicular lines, a circle, and 10 distinct equations.

The image is a simple design featuring a circle in the center with four lines radiating outwards from it, two of which are parallel and two of which are perpendicular. The circle has the equation x^2 + y^2 = 25, which means its radius is 5 units. The parallel lines have the equations y = 3x + 2 and y = 3x - 3, while the perpendicular lines have the equations y = -1/3x + 8 and y = -1/3x - 3.

In addition to these equations, there are six more lines that intersect the circle at various points. These lines have the equations y = 2x + 1, y = -2x - 1, y = 1/2x + 4, y = -1/2x - 4, y = 4x - 5, and y = -4x + 5. Each of these lines intersects the circle at two distinct points, creating a total of 12 intersection points.


To create this image using the Desmos graphing calculator, I began by plotting the equation for the circle. This equation is in standard form, where the center of the circle is at the origin (0,0) and the radius is 5 units. I then added the four lines radiating outwards from the circle, ensuring that two of them were parallel and two were perpendicular.

To add the remaining six lines, I used the intersection tool in Desmos. I first plotted the line and then selected the intersection tool, which allowed me to click on the line and then click on the circle to find the points of intersection. I repeated this process for each of the six lines, resulting in a total of 12 intersection points.

Finally, to label each equation on the graph, I used the text tool in Desmos. I typed out each equation and positioned the label next to the corresponding line or point. This helped to make the image clear and easy to read.

Overall, this picture demonstrates the versatility of the Desmos graphing calculator. With its user-friendly interface and powerful tools, it is easy to create complex images with multiple equations and shapes.

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1080 inches²  are the dimensions of the box with maximum volume .

What is rectangle?

rectangular box length = 24 inches

                       width = 45 inches

maximum volume = 24 * 45

                              = 1080 inches²

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It this an actual school question or a question from a satanic worshiper?

The largest group of students that the study results represent is "all UCLA graduate student apartments in the three sampled buildings".

The number of graduate student apartments in the three sampled buildings can be represented mathematically as:

N = 25 * 3

Where N is the number of apartments sampled and 25 is the number of apartments randomly selected in each of the three buildings.

This expression represents the total number of apartments in the largest group that the study results represent, which is "all UCLA graduate student apartments in the three sampled buildings."

This is because the survey only included data from 25 apartments in each of the three randomly selected buildings. The results of the study cannot be generalized to represent all UCLA graduate student apartments or even all apartments in the group of seven buildings as the sample size is limited to only three buildings. The results only provide information about the energy efficiency of the apartments in the three sampled buildings.

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Answer:

24,000 milliliters

Step-by-step explanation:

Because

1 liter = 1000 milliliters

so 24 liters would be 24,000 Milliliters

The algebraic expression for the perimeter of the rectangle is 2(x + x + 4), which simplifies to 2(2x + 4).

The perimeter of a rectangle is the sum of all its sides. In this case, we are given that one side of the rectangle is x cm, and the other side is 4 cm longer than x. To find the perimeter, we need to add up all the sides.

The first side has a length of x cm, and the second side is 4 cm longer, so its length is x + 4 cm. The other two sides of the rectangle are parallel to these sides and have the same lengths.

To calculate the perimeter, we add up the lengths of all four sides. We have x cm, x cm, x + 4 cm, and x + 4 cm. Adding these lengths together gives us 2x + 2(x + 4) cm.

To simplify the expression, we distribute the 2 to both terms inside the parentheses: 2x + 2x + 8 cm. Combining like terms, we get 4x + 8 cm.

Therefore, the simplified algebraic expression for the perimeter of the rectangle is 4x + 8 cm.

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Answer:

6

Step-by-step explanation:

, , , , ,, , , , , , , , ,sssss

Answer:

33/6

Step-by-step explanation:

Multiply the whole number and denominator, then add the numerator. Put that number over the original denominator of the mixed fraction

Multiply 5 and 6

5*6=30

Add 3

30+3=33

Add the denominator

33/6

Answer: 33/6(33 over 6)

Jo should buy the wallpaper from Style Papers, paying a total cost of £178.50 instead of £180 at Chic Decor.

The unit cost per roll of wallpaper is computed for Chic Decor and Style Papers, respectively, by division operation.

For Style Papers, the unit cost is the discounted price, which reduces the normal price per roll by 12%.

When the unit cost is multiplied by 15, the total cost is ascertained for comparison.

Chic Decor

3 rolls = £36

Price per roll = £12 (£36/3)

Style Papers

Pack of 5 rolls at normal price = £70

Discount = 12% (off the normal price)

Discounted price for 5 rolls = £59.50 (£70 x 1 - 12%)

Discounted price per roll = £11.90 (£59.50/5)

The total number of rolls of wallpaper required = 15

The total cost of 15 rolls at Chic Decor = £180 (£12 x 15)

The total cost of 15 rolls at Style Papers = £178.50 (£11.90 x 15)

Thus, using mathematical operations, we can advise Jo to buy the wallpaper from Style Papers instead of buying from Chic Decor.

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Answer:

Look at the picture for the answer :D

Step-by-step explanation:

The x coordinate comes first, then the y.

It is an example of Permutation without repetition.

To find the number of pictures can create.

An arrangement of things in a certain sequence is what we refer to as a permutation. The constituents or components of sets are presented in this section in a sequential or chronological fashion. A coming together or merging of several parts or characteristics in which each of the constituent parts or traits retains its unique identity.

Given that:

50 unique pieces of puzzle

Use them all to solve puzzle

No repetition is allowed therefore

Since no repetition is allowed because all puzzle pieces are required to be used.

Therefore each of the 50 pieces can be used max one time

Therefore if we start with piece like this " 1 2 3 .. up to ... 50 " it is one combination

Another could be "2 1 3 ..  up to .. 50" or "3 1 2 .. up to 50" and so on

So we see that we can see that we can select the first piece in 50 ways 49 left which could be selected for second piece then 48, 47 respectively

Therefore 50X49X48X47X46X....X1 = 50!

Hence, It is an example of Permutation without repetition.

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Option is missing

A. Combination with repetition

B. Permutation with repetition

C. Combination without repetition

D. Permutation without repetition

Answer:

B and D

Step-by-step explanation:

Distributive property on 3(c-3) is 3c-12=20. D is the same. Divide instead.

Answer:

the 2nd and 4th one

Step-by-step explanation:

4( c - 3 ) = 8

you can either distribute the 4 which means multiply whats inside of the parenthesis by 4 , 4 * c = 4c and 4 * -3 = -12 to get 4c - 12 = 8

or you can divide both sides by 4 which will get you c - 3 = 2

4(c-3)/4 = c - 3

8/4 = 2

c - 3 = 2

Given data:

The given figure of the triangle.

The expression for the perimeter of the triangle is,

Thus, the equation is 16=3x.

Answer:

the anwser is 45

Step-by-step explanation: