ryan reads 2/5 chapters in 3/4 hours. What is the unite rate in chapters per hour write your answer in simplest form

the first derivative of the given function is:

f'(x) = (2x²- 12x - 2)/( 2x² - 2)²

The quotient rule says that, if f(x) = g(x)/h(x), then:

f'(x) = ( g'(x)*h(x) - g(x)*h'(x) )/h(x)²

In this case we know that:

g(x) = x² + x - 2

h(x) = 2x² - 2

The derivatives are:

g'(x) = 2x + 1

h'(x) = 4x

Replacing that we get:

f'(x) = ( g'(x)*h(x) - g(x)*h'(x) )/h(x)²

      = ( (2x + 1)*(2x² - 2) - ( x² + x - 2)*(4x) )/( 2x² - 2)²

Expanding the denominator we get:

f'(x) = ( 4x³ - 4x + 2x² - 2 - 4x³ + 4x² - 8x)/( 2x² - 2)²

f'(x) = (2x²- 12x - 2)/( 2x² - 2)²

That is the first derivative of the given function.

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False

The median car price is the one right in the middle of the price list. To find the median, we first need to rank the prices from lowest to highest.

The ordered price list looks like this:

$3,999; $4,500; $4,999; $5,000; The median price is $4,999, which is the median price. The average price is not $4,799.60.

Median is a measure of the central tendency of a dataset. The value that separates the top and bottom halves of the record. To find the median, we need to enter the values ​​in the dataset in order from lowest to highest. If the dataset has an odd number of values, the median is the mean.

For example, given the following five values: For 3, 5, 7, 9, 11, the median is the median, so the median is 7. If the dataset has an even number of values, the median is the average of the two middle values. For example, given the following 6 values:

For 3, 5, 7, 9, 11, 13, the median is (7 + 9)/2 = 8. In this case, there are 5 values, which are odd, so the median is the median. , which is $4,999.

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Answer:

9°

Step-by-step explanation:

In a ∆, equal sides make equal angle to the third side. So the angle that's not mentioned is same '2'.

Sum of angles in a ∆ = 180°

80° + m/_2 + m/_2 = 180°

80° + (5x + 5) + (5x + 5) = 180°

10x + 90° = 180°

10x = 90°

x = 9°

Answer:

The answer is x>-4     (brainiest please)

Step-by-step explanation:

Add 38 to both sides

-6x-36+36>-12+36

-6x>24

multiply both side by -1

(-6x)(-1)<24(-1)

6x>-24

simplify

6x/6<24/6

x<-4

Answer:

$0.80 per bottle

Step-by-step explanation:

\(\frac{4.80}{6}\) = total cost / units

= 0.80

Answer:

$o.80

Step-by-step explanation:

4.80 divided by 6 equals 0.8

0.8 can also be 0.80

The algebraic expression which represent the amount Mr. Ramirez has left after the purchase of chemical set and cases of safety glasses is x = 1200 - {314 + (81.50 × 4).

Amount Mr. Ramirez has left = Total amount Mr. Ramirez has to purchase supplies - {Cost of a set of chemicals + (Number of cases of safety glasses he purchased × Cost of each cases of safety glasses)}

x = 1200 - {314 + (81.50 × 4)

x = 1200 - (314 + 326)

x = 1200 - 640

x = $560

In conclusion, the amount Mr. Ramirez has left after the purchase of chemical set and cases of safety glasses is $560.

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The number of students that you expect to be there in the given number of years would be = 520 students

To calculate the number of students that will be enrolled in the next five years the following steps should be taken.

That is;

The number of students for year 1 = 620

The decrease number of students observed per year = 20 students

For 5 years = 20× 5 = 100

Therefore, number of students that you expect to be there in the given number of years would be = 620- 100 = 520 students

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Answer:

The correct label of the line is CD

The ages of Alan, Nate and Kai is 26, 24 and 13 years respectively

63 = x + (x - 2) + 1/2x

63 = x + x - 2 + 1/2x

63 = 2 1/2x - 2

63 + 2 = 2 1/2x

65 = 5/2x

x = 65 ÷ 5/2

x = 65 × 2/5

= 130/5

x = 26

Recall,

Alan's age = x years

= 26 years

Nate's age = (x - 2) years

= (26 - 2)

= 24 years

Kai's age = 1/2x

= 1/2(26)

= 13 years

Therefore, the ages of Alan, Nate and Kai is 26, 24 and 13 years respectively

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Answer:

The maximum profit the florist will earn from selling celebration bouquets is $725.

The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.

The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.

Step-by-step explanation:

Answer:

The answer is 30.66, mark me as brainliest

The steps which you would take to determine if these figures are similar include the following:

2. Multiply the vertices of polygon ABCD by 1/2.

5. Reflect the intermediate image.

In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.

Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.

By critically observing the graph representing polygon ABCD, we can logically deduce that a sequence of transformations that would polygon ABCD (pre-image) onto polygon A"B"C"D" (image) is a dilation by a scale factor of 1/2 and a reflection of intermediate image.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The equation which correctly relates the measure of diameter and radius of a circle is (c) r = d/2.

The Diameter (d) of a circle is defined as the distance across the circle through its center. The radius (r) of a circle is defined as the distance from the center of the circle to any point on the circle.

We know that the radius of the circle is half of diameter, because it extends from the center to the edge of the circle, while the diameter extends all the way across the circle.

So, we can express the relationship between d and r as:

⇒ d = 2r

To solve for r, we can divide both sides by 2:

We get,

⇒ r = d/2

Therefore, The correct equation is Option (c) r = d/2.

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The given question is incomplete, the complete question is

Which of the following correctly relates the measures of the diameter (d) and radius (r) of a circle?

(a) d = r/2

(b) r = 2d

(c) r = d/2

(d) d = 2/r

Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

Answer:

Just a guess, 65?

Step-by-step explanation:

This looks fun. I shall try it.

63-17 = 46

46 + 19 = 65.

Check the picture below.

The Distance the handler will move from the starting point to the return point will be approximately 439.8204 feet.

The distance the handler will move from the starting point to the return point when creating an arc of a circle with a radius of 70 feet, we need to find the length of the arc.

The formula to calculate the length of an arc is given by:

Length of arc = (θ/360) * 2πr

Where:

θ is the central angle of the arc (in degrees)

r is the radius of the circle

In this case, since the handler is creating a full circle, the central angle is 360 degrees.

Length of arc = (360/360) * 2π * 70

Length of arc = (1) * 2π * 70

Length of arc = 2π * 70

Length of arc = 140π

To find the approximate value in feet, we can use the approximation π ≈ 3.14159.

Length of arc ≈ 140 * 3.14159

Length of arc ≈ 439.8204 feet

Therefore, based on the given theory and using a circle with a radius of 70 feet, the distance the handler will move from the starting point to the return point will be approximately 439.8204 feet.

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Answer:

Step-by-step explanation:

The expression and solution:

Roy bought 9 electronic music discs

Answer:

7% production decreases of 6800 means you lost 476 chair a month and you would only produce 6324 chair per montg

Answer:

x=3

(26x+50degreese) = 134 degreese

Step-by-step explanation:

Answer:

draw your representation of a 4 characters depicting each Hogwarts house?

Answer:

hmm you are already really good, I'm not sure if you have already but try drawing different perspectives of the head/ neck :)

Answer:

630

Step-by-step explanation:

Based on the given conditions, formulate: 42 × 360 ÷ 24

Cross out the common factor: 42 × 15

Calculate the product or quotient: 630

Find the closest integer: 630

Answer: 630

The number of elk population nearest to the whole number will be 630.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

To gather information about the elk population, scientists marked 42 elk. Later, they flew over the area and counted 360 elk, of which 24 were marked.

Then the number of elk population nearest to the whole number will be given as,

⇒ (42 x 360) / 24

⇒ 15120 / 24

⇒ 630

The number of elk population nearest to the whole number will be 630.

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The distance between gab's house and library will be 4km

Distance is a numerical measurement  of how far apart object or point are or it may also refer as the physical length.

From graph we can see that Gabe's house is 3 km on positive x axis in respect to the origin

Whereas library is 1 km apart from origin on negative x axis

Since we are calculating distance , we simply add both the above mentioned distances irrespective of their direction since distance is a scaler quantity.

Distance between Gab's house and library will be :

D = |3| + |-1|

D = 3+1 = 4 km option A)

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The value of m and n to show the solution of the equation x² + 6x - 5 = 0 is m = -3 and n = ± √14

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the equation:

x² + 6x - 5 = 0

x² + 6x = 5

x² + 6x + 9 = 5 + 9

(x + 3)² = 14

x + 3 = ±√14

x = -3 ± √14

The value of m and n to show the solution of the equation x² + 6x - 5 = 0 is m = -3 and n = ± √14

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Answer:

55 students

Step-by-step explanation:

Multiply the total by the frequency of 4 classes and round to the nearest whole

Hope this helps my fellow

Answer:

65.4

Step-by-step explanation:

I don't know if I'm right but here is what I did

120÷4=30

30÷0.45833=65.4

Answer: 45,000

Step-by-step explanation:

Let x be the total number of seats available. According to the problem, 18% of the seats are bleachers, and 42% of the seats are grandstands. That means the remaining 40% of the seats are box and club seats combined since 100% - 18% - 42% = 40%.

The problem states that there are 12,600 box seats and 5,400 club seats available, which makes a total of 12,600 + 5,400 = 18,000 box and club seats.

Now, we can set up an equation to find the total number of seats:

0.40x = 18,000

To solve for x, divide both sides of the equation by 0.40:

x = 18,000 ÷ 0.40

x = 45,000

There are a total of 45,000 seats available at the baseball game.

The Coalition for Airline Passengers Rights, Health, and Safety averages 400 calls a day to help stranded travelers deal with airlines. The hotline is staffed for 16 hours a day.

To calculate the average number of calls in different time intervals and the probability of different events related to these calls.

Part 1:

a. 60-minute interval average number of calls: 400/16 = 25 calls

30-minute interval average number of calls: 25/2 = 12.5 calls

15-minute interval average number of calls: 12.5/2 = 6.25 calls

Part 2:

b. To find the probability of exactly 6 calls in a 15-minute interval, we can use the Poisson distribution formula. Let's assume that the average number of calls in a 15-minute interval is 6.25. Then, the probability of exactly 6 calls in a 15-minute interval is:

P(6 calls) = (e^-6.25)*(6.25^6)/6! = 0.0686

c. To find the probability of no calls in a 15-minute interval, we can use the Poisson distribution formula. Let's assume that the average number of calls in a 15-minute interval is 6.25. Then, the probability of no calls in a 15-minute interval is:

P(0 calls) = e^-6.25 = 0.0047

d. To find the probability of at least two calls in a 15-minute interval, we can use the cumulative distribution function of the Poisson distribution. Let's assume that the average number of calls in a 15-minute interval is 6.25. Then, the probability of at least two calls in a 15-minute interval is:

P(X >= 2) = 1 - P(0 calls) - P(1 call) = 1 - 0.0047 - (e^-6.25)*(6.25^1)/1! = 0.9906

Thus, the average number of calls in a 60-minute interval is 25, in a 30-minute interval is 12.5, and in a 15-minute interval is 6.25. The probability of exactly 6 calls in a 15-minute interval is 0.0686, the probability of no calls in a 15-minute interval is 0.0047, and the probability of at least two calls in a 15-minute interval is 0.9906.

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Step-by-step explanation:

If u are looking for factorization this is the way

(x-y)(x-y+1)² -2(x-y)(x-y+1)+(x-y)=

(x-y)[(x-y+1)^2-2(x-y+1)+1]=

(x-y)[(x-y+1)^2-2(x-y+1)+1^2]=

(x-y)[(x-y+1)-1]^2=(x-y)(x-y+1-1)^2

(x-y)(x-y)^2=

(x-y)^3

Answer:

8 apples.

Step-by-step explanation:

Answer:

8 apples

Step-by-step explanation:

Have a nice day