What is greater 9.95 or 9 10/11

The factorization of the given quadratic expression gives the value of x as x = 5/2 or x = -4.

Quadratic expression is equal to,

2x^2 + 3x - 20

Here,

Product of coefficient of x^2 and constant term  = -40

coefficient of x = 3

Two numbers whose product is -40 and whose sum is 3 .

After some trial and error,

The required numbers are -5 and 8.

8 × -5 = -40

8 + (-5) = 3

So, factorization of the expression are,

2x^2 + 3x - 20 = 0

⇒ 2x^2 + 8x -5x - 20 = 0

⇒ 2x ( x + 4 ) -5 ( x + 4 ) = 0

⇒ (2x - 5)(x + 4) = 0

Now, using the zero product property, we get,

2x - 5 = 0 or x + 4 = 0

Solving these equations, we get,

x = 5/2 or x = -4

Therefore, the solutions of the given quadratic equation after factorization are x = 5/2 and x = -4.

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The above question is incomplete , the complete question is:

Solve by factorization

2x^2 +3x-20

Step-by-step explanation:

A

Because the multiplication of two integers still results in an integer.

The profitability index for Aryan Company's new machine investment is 0.96.

The profitability index is a ratio used to measure the profitability of an investment by comparing the present value of future cash flows to the initial investment cost. It is calculated by dividing the present value of future cash flows by the initial investment cost.

In this case, the present value of the future cash flows can be calculated by multiplying the expected cash flow of $24,000 per year by the present value of an annuity for 3 periods at 12%, which is given as 2.40183. Therefore, the present value of future cash flows is $57,644.32.

The initial investment cost is $60,000.

To calculate the profitability index, we divide the present value of future cash flows by the initial investment cost: $57,644.32 / $60,000 = 0.96074. Rounded to one decimal place, the profitability index is 0.96.

The profitability index indicates that the present value of the expected future cash flows is approximately 96% of the initial investment cost. Generally, a profitability index greater than 1 indicates a favorable investment, while a value less than 1 suggests an unfavorable investment. In this case, the profitability index of 0.96 suggests that the investment is not expected to be highly profitable.

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The complete question is :

Aryan Company p o buy a new machine for $60.000 that will have an estimated useful site of 3 years and no savage value. The expected cash tom $24,000 annually Company has a cost of capital of 12% Given that the present value of $1 after 3 periods at 12% 071172 and the present valu of an annuity for 3ds at 12% is 2.40183, the profitability index is

1.96

1.04

0.28

0.96

0.04

The expression x + 80 represents the number of coins Arthur has now, since he x pennies and an additional 6 dimes and 4 nickels.

We shall convert the pennies, dimes and nickels into same unit before adding to get the expression for the number of coins Arthur will have in total.

A penny = 1 cent, so

x pennies = x cents

A dime = 10 cents so;

6 dimes = 6 × 10cents

6 dimes = 60 cents

A nickel = 5 cents so;

4 nickels = 4 × 5 cents

4 nickels = 20 cents

Arthur's coins in total = (x + 60 + 40) cents

Arthur's coins in total = (x + 80) cents.

Therefore, the expression expression x + 80 represents the number of coins Arthur will have in total, wether in pennies, dimes or nickels.

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The quotient of the division is (b) 2x² + 4x + 2

From the question, we have the following parameters that can be used in our computation:

dividing 2x³ + 6x² + 6x + 2 by x + 1

Using the long division method of quotient, we have

x + 1 | 2x³ + 6x² + 6x + 2

The division steps are as follows

            2x² + 4x + 2

x + 1 |2x³ + 6x² + 6x + 2

         2x³ + 2x²

------------------------------------------------

              4x² + 6x + 2

              4x² + 4x

------------------------------------------------

                         2x + 2

                         2x + 2

Hence, the quotient is 2x² + 4x + 2

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Answer:

yes

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

1. find a common denominator,

2/5 = 12/30

2/6 = 10/30

2. compare,

12/30 is greater than 10/30

Hope this helps! (and is correct)

Answer:

,..............................!!!

Step-by-step explanation:

Given:

The number of students vote is 10+15+10=35

Number of flavors are 3.

a) The probability that the student voted for chocolates.

Number of possibilities= 15.

Answer: 3/7

b) The probability that the student voted for vanilla.

Answer: 2/7

c) The probability that the student voted for chocolate or strawberry .

Answer: 5/7

d) The probability that the student voted for vanilla or chocolate .

Answer: 5/7

Answer: B

Step-by-step explanation:

The value of g = 144 solved by using direct proportion.

Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value. It is represented by the proportional symbol, ∝.

Given that,

h = \(\frac{1}{2}\) , j = \(\frac{1}{3}\), g = 4

g ∝ hj

g = khj

where k is a constant.

4 = k×\(\frac{1}{2}\)×\(\frac{1}{3}\)

k = 24

Also given that,

g = ? , h =2, j = 3

g = khj

g = 24×2×3

g = 144

Hence, The value of g = 144.

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The sampling process used on dollar street is stratified sampling.

Given,

Use of dollar street;

Dollar street offers a fresh perspective on families all throughout the world. Every family is arranged down a street, with the wealthiest household on the right and the lowest on the left. Each family's earnings are expressed in US dollars.

Here,

Stratified sampling;

To complete the sampling process, stratified sampling is a form of sampling technique in which the entire population is divided into smaller groups or strata.

Therefore,

Stratified sampling is used in dollar street for sampling process.

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There is only a 0.62% chance that the average length will be less than 2.4 inches. Therefore, we can conclude that it is unlikely for the average length of 100 randomly selected fish to be less than 2.4 inches.

Use the central limit theorem, which states that the distribution of sample means will be approximately normal regardless of the distribution of the population, as long as the sample size is large enough.

In this case, we are given that the length of one kind of fish is normally distributed, with a mean of 2.5 inches and a standard deviation of 0.4 inches. We want to find the probability that the average length of 100 randomly selected fish is less than 2.4 inches.

To apply the central limit theorem, we need to calculate the mean and standard deviation of the sampling distribution of the sample mean. The mean of the sampling distribution will be equal to the population mean, which is 2.5 inches. The standard deviation of the sampling distribution can be calculated using the formula:

standard deviation = population standard deviation / square root of sample size

In this case, the population standard deviation is 0.4 inches, and the sample size is 100, so:

standard deviation = 0.4 / sqrt(100) = 0.04 inches

Now that we have the mean and standard deviation of the sampling distribution, we can use the z-score formula to find the probability of obtaining a sample mean of less than 2.4 inches:

z = (sample mean - population mean) / standard deviation

z = (2.4 - 2.5) / 0.04 = -2.5

Using a standard normal distribution table, we can find that the probability of obtaining a z-score of -2.5 or less is approximately 0.0062. This means that the probability of obtaining a sample mean of less than 2.4 inches is approximately 0.0062.

In other words, if we were to randomly select 100 fish from this population and calculate the average length, there is only a 0.62% chance that the average length would be less than 2.4 inches. Therefore, we can conclude that it is unlikely for the average length of 100 randomly selected fish to be less than 2.4 inches.

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Answer:

t = 480 seconds

Step-by-step explanation:

Let

Time taken for a water heater to boil water = t

power of the water heater = p

Constant of proportionality = k

t = k/p

240 = k/2000

Cross product

240 * 2000 = k

k = 480,000

Find the time it takes to boil water when the power is reduced to 1000 Watts.

t = k/p

= 480,000/1000

= 480

t = 480 seconds

t = 480 seconds when p = 1000 watts

A parallelogram does not comprise the characteristics of having all congruent angles, Therefore, option B: "All angles are congruent." is the correct answer.

A parallelogram is a quadrilateral with opposite sides parallel and therefore opposite angles equal.  Examples of parallelograms include rhombuses, rectangles, and squares.

So common characteristics of a parallelogram are:

While all angles in parallelogram are not congruent, so this is not a property of a parallelogram.

"

Complete question

Which property is not a characteristic of a parallelogram?

O A. Opposite sides are congruent.

B. All angles are congruent.

O C. Opposite sides are parallel.

D. Opposite angles are congruent.

"

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Answer:

42 or 42/1

Step-by-step explanation:

Divide 14 by 1/3.

Answer: Range=\((-infinity,4)\)

Step-by-step explanation:

The measure of <TKZ is 18 degree.

The length of KZ is 17.3082 m.

The  height of the kite K from the ground is 18.3082 m.

We have,

Angle of Elevation = 72

TK = 18.2 m

Using trigonometry

sin 72 = P/ H

sin 72 = P / 18.2

P = 17.3082

Now, cos 72 = B/H

cos 72 = B/ 18.2

B = 5.6238

Now, <TKZ = 180 - 90 - 72 (angle Sum property)

<TKZ = 18 degree

and, length of KZ = 17.3082 m

Not, the height of the kite K from the ground

= 18.3082 m

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Answer:

A

Step-by-step explanation:

simplify equation A

then you will get same as the expression above

Answer:

-3, sqrt of 11, -60/11, 5.5, sqrt of 31

Answer:

5x + y = 25

Dillon can buy 25 flowers.

Dillon can buy 5 trees

Step-by-step explanation:

Equations

The standard form of a linear equation is:

ax + by = c

Where a, b, and c are constants, and x, y are the variables.

Given the conditions of the problem, we'll build the equation that represents the situation.

Let's call:

x=number of trees

y=number of flowers

Since the landscaping company sells trees for $25 each and flowers for $5 each, buying x trees and y flowers cost:

25x+5y dollars

Knowing Dillon has $125 to spend, then:

25x + 5y = 125

Dividing by 5:

5x + y = 25

This is the equation that models the situation.

If Dillon decides to buy only one type of plant, then the other must be set to zero.

If he buys only flowers, then x=0. Solving for y:

5(0) + y = 25

y = 25

Dillon can buy 25 flowers.

If he buys only trees, then y=0. Solving for x:

5x + 0 = 25

x = 5

Dillon can buy 5 trees

Answer:

16/1071

Step-by-step explanation:

The average is the given by summing all the numbers and deciding by how many numbers you have

So, the answer is given by:

(-1/12 + 4/17 - 3/28) / 3 which yields to 16/1071

Answer:

0.5

Step-by-step explanation:

Total space in the parking lot = 10

number of cars parked = p

number of empty parking spaces = e

There are the same number of cars parked in the parking lot as there are empty parking spaces.

This means,

Number of parked cars = number of empty parking spaces

p = e

If the number of parked cars and number of empty parking spaces = 10

p + e = 10

If p = 5

Then,

p + e = 10

5 + 5 = 10

Write a decimal to show the part of the parking lot that has empty parking spaces.

Empty parking space/total parking space

= 5/10

= 1/2

= 0.5

part of the parking lot that has empty parking spaces = 0.5

The statement  | - 2x + 8 | < 12 is x < 2 and x > - 2.

We know the absolute value function of the modulus function always outputs a positive value irrespective of the sign of the input.

In piecewise terms  | x | = x for x ≥ 0 and | x | = - x for x < 0.

Given, | - 2x + 8 | < 12.

∴ - ( -2x + 8) < 12 and (- 2x + 8 ) > 12.

2x - 8 < 12 and - 2x + 8 > 12.

2x < 4 and - 2x > 4.

x < 2 and - x > 2 ⇒ x > - 2.

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Answer:

slope of staircase 1= 3/5

slope of staircase 2= -2/3  (i only put negative because the staircase is going upward in the left direction, but you can be the judge of whether it's positive or negative)

Step-by-step explanation:

hope this helps :)

The answer is B (There is evidence that a Type BBB  orange typically weighs more than a Type AAA orange.) this is right on edulastic

The area of the swimming pool cover is approximately 159.27 square feet, rounded to the nearest hundredth.

To find the area of the swimming pool cover, we can calculate the area of the rectangle and the area of the semicircle separately.

Area of the rectangle:

The length of the rectangle is 12 feet and the width is 10 feet. The formula to calculate the area of a rectangle is:

Area_rectangle = length × width

Area_rectangle = 12 × 10

Area_rectangle = 120 square feet

Area of the semicircle:

The radius of the semicircle is half the distance between the parallel lines, which is 10/2 = 5 feet. The formula to calculate the area of a semicircle is:

Area_semicircle = (π × radius²) / 2

Area_semicircle = (π × 5²) / 2

Area_semicircle = (π × 25) / 2

Area_semicircle ≈ 39.27 square feet

The total area of the swimming pool cover:

To find the total area, we add the area of the rectangle and the area of the semicircle:

Total_area = Area_rectangle + Area_semicircle

Total_area = 120 + 39.27

Total_area ≈ 159.27 square feet

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Check the picture below.

The terminal side of the angle fall in the quadrant 1.

Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.

Angles are usually measured in degrees or radians.

Given angle is -302°.

This means that the angle is measured in clockwise direction.

Sum of a full anticlockwise direction = 360°.

Sum of a full clockwise direction = -360°.

The angle will be starting from quadrant 4.

After -90 degrees, it moves to quadrant 3.

After -180 degrees, it moves to quadrant 2.

After -270 degrees, it moves to quadrant 1.

Given that the angle is -302°.

So in between -270 degrees and -360 degrees lies the terminal side of angle -302°.

Hence the terminal side lies in quadrant 1.

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The sum of the least and greatest positive four-digit multiples of 4 that can be formed using the digits 1, 2, 3, and 4 exactly once is 2666.

To find the sum of the least and greatest positive four-digit multiples of 4 that can be written using the digits 1, 2, 3, and 4 exactly once, we need to arrange these digits to form the smallest and largest four-digit numbers that are multiples of 4.

The digits 1, 2, 3, and 4 can be rearranged to form six different four-digit numbers: 1234, 1243, 1324, 1342, 1423, and 1432. To determine which of these numbers are divisible by 4, we check if the last two digits form a multiple of 4. Out of the six numbers, only 1243 and 1423 are divisible by 4.

The smallest four-digit multiple of 4 is 1243, and the largest four-digit multiple of 4 is 1423. Therefore, the sum of these two numbers is 1243 + 1423 = 2666.

In conclusion, the sum of the least and greatest positive four-digit multiples of 4 that can be formed using the digits 1, 2, 3, and 4 exactly once is 2666.

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You traveled at a higher speed for approximately 57 minutes.Based on the given information, you traveled at the higher speed for approximately 57 minutes, covering a distance of approximately 118.3 km.

First, let's convert the initial speed from mph to km/h to match the units.

21 mph is approximately equal to 33.8 km/h.

To find the time traveled at the initial speed, we can use the formula: time = distance / speed.

At the initial speed of 33.8 km/h, you traveled for 35 minutes, which is approximately 0.583 hours.

The distance covered at the initial speed can be calculated using the formula: distance = speed * time.

Distance1 = 33.8 km/h * 0.583 hours = 19.7 km.

Now, let's calculate the remaining distance covered at the higher speed.

Total distance - Distance1 = 138 km - 19.7 km = 118.3 km.

To find the time traveled at the higher speed, we can use the formula: time = distance / speed.

Time2 = 118.3 km / 40 km/h ≈ 2.958 hours.

Converting the time traveled at the higher speed from hours to minutes:

Time2 = 2.958 hours * 60 minutes/hour ≈ 177.5 minutes.

Finally, to find the duration traveled at the higher speed, we subtract the initial time (35 minutes) from the total time at the higher speed:

Time2 - initial time = 177.5 minutes - 35 minutes = 142.5 minutes.

Therefore, you traveled at the higher speed for approximately 57 minutes.

Based on the given information, you traveled at the higher speed for approximately 57 minutes, covering a distance of approximately 118.3 km.

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