Simplify: (9 m 2 - 7 n + 4) - (8 m 2 - 3 n + 2)

The value of the right Riemann sum approximation for integral ∫₀² f(x) dx is (c) 60.

The right Riemann sum approximation is obtained by dividing the interval [0, 2] into four subintervals of equal length and evaluating the function at the right endpoints of each subinterval. In this case, each subinterval has a length of (2-0)/4 = 0.5. The right endpoints of the subintervals are 0.5, 1.0, 1.5, and 2.0.

To calculate the right Riemann sum, we evaluate the function at these right endpoints and sum up the values multiplied by the subinterval length.

f(0.5) = \(9^{0.5\) = 3

f(1) = 9¹ = 9

f(1.5) = \(9^{1.5\) = 27

f(2) = 9² = 27

The right Riemann sum is then

= (0.5 * f(0.5)) + (0.5 * f(1.0)) + (0.5 * f(1.5)) + (0.5 * f(2.0))

= 0.5 * (3 + 9 + 27 + 81)

= 60.

Therefore, the value of the right Riemann sum approximation for ∫2 to 0 f(x) dx is 60, which corresponds to option (c).

Learn more about Riemann sum here

https://brainly.com/question/30404402

#SPJ4

Given question is incomplete, the complete question is below

let f be the function given by f(x)= 9ˣ, if four subintervals of equal length are used, what is the value of the right riemann sum approximation for∫₀² f(x) dx. 20b. 40c. 60d. 80

If one of the parents sits in the driver's seat, the other parent can sit in either the front passenger seat or one of the back seats. The remaining three children can then occupy the two remaining back seats.

The sedan has two front seats, so the parents can occupy one front seat and one back seat. This leaves two back seats available for the three children. Since the children cannot sit in the front seats due to safety regulations, they will occupy the remaining back seats.

In summary, one parent will sit in the driver's seat, and the other parent will choose between sitting in the front passenger seat or one of the back seats. The two daughters and the son will occupy the remaining back seats. This arrangement ensures that all family members can travel together comfortably and safely in the sedan during their road trip.

Please note that the calculation and conclusion are based on the assumption that the sedan has a total of five seats (two front seats and three back seats). If the sedan has a different seating arrangement, the solution may vary.

To know more about Passenger, visit

https://brainly.com/question/29466302

#SPJ11

To find the 70th percentile we look for the z value that gives the following probability:

Looking at the standard normal distribution table we notice that this probability happens when:

Then we need the z score to be 0.5244 .Now that we know this we use its definition to find the value of x that gives this z score:

Therefore, the 70th percentile is 287.45

Answer:

Step-by-step explanation:

4 x 2 = 8

there fore, it would take 8 $ to buy 5 slices excluding the delvry.

so, 8 x 2 = 16

16$ total

pls give me brainliest

Answer:

The correct answer is: "Product Review"

Step-by-step explanation:

A product is the outcome of a process or a well-organized algorithm. Product is the final result.

A product review is a report that is made on the product usually explaining the strengths and weaknesses of a particular product.

Hence,

The correct answer is: "Product Review"

Answer:

Step-by-step explanation:

Consumer Report

Step-by-step explanation:

We have to find the sum of 102 + 105 + 108 + ... + 996 + 999.

Notice that 102 = 3 * 34 and 999 = 3 * 333. Hence there are 333 - 34 + 1 = 300 terms.

Hence the sum is 300(102 + 999)/2 = 1101 * 150 = 165,150.

The awnser is 165,150

By applying permutation concepts, there are 2730 possible sets of officers.

Permutation calculates the number of ways to choose a sample of r elements from a set of n distinct objects where order does matter and replacements are not allowed.

P(n,r) = n! / (n-r)!

where n is the number of objects and r is the number of samples

In such an election, each person can only occupy one office. Therefore, the permutation concept is precisely used to calculate the number of ways to set these people.

P(15,3) = 15! / (15 - 3)!

           = (15 x 14 x 13 x 12!) / 12!

           = 15 x 14 x 13

           = 2730 ways

Thus, there are 2730 possible sets of officers.

To learn more about permutation, click here: https://brainly.com/question/28065038

#SPJ4

Answer:

10 x -6 = -60

Step-by-step explanation:

The number that multiplies to get -60 are  (-2, 30), (-3, 20), (-4, 15), (-5, 12), (-6, 10), (2, -30), etc.

The fundamental concept of making the same number of additions repeatedly is represented by the action of multiplication. The results of multiplying two or more integers are known as the products, and the factors that are used in the multiplication are referred to as the factors.

Given:

The number is -60,

Factorize the number as shown below,

60 = 2 × 2 × 3 × 5

Here, the two numbers can be many, some of them are mentioned below,

-60 = 2 × (-30)

-60 = 3 × (-20)

-60 = 4 × (-15)

-60 = 5 × (-12)

-60 = 6 × (-10)

The number can be changed by changing the sign as shown below,

-60 = -2 × 30

-60 = -3 × 20

-60 = -4 × 15

-60 = -5 × 12

-60 = -6 × 10

Thus, the numbers are (-2, 30), (-3, 20), (-4, 15), (-5, 12), (-6, 10), (2, -30), etc.

To know more about multiplication:

https://brainly.com/question/1135170

#SPJ2

The dial for the standard combination lock is fastened to a spindle. The spindle travels through many wheels and a drive cam inside the lock. Every number has one wheel, hence the number of wheels in a wheel pack depends on how many numbers are in the combination.

The lock uses the numbers 0 to 39 and has 64,000 distinct combinations.

How many possible three-number combinations are there?

You have 10 options for the first digit, 9 options for the second digit, and 8 options for the third digit, giving you 10x9x8 = 720 if you want all three possible numbers with no duplication of the digits.

To learn more about Three-number combination refer to:

https://brainly.com/question/27242731

#SPJ4

Answer:

Length 37 cm, width 25 cm.

Step-by-step explanation:

Let the original dimensions be length x and width x - 12 cms.

The new dimensions will be length (x - 2) and width (x - 12 - 2) = x-14 cm.

So , from the areas, we have:

x(x - 12) - (x - 2)(x - 14) = 120

x^2 - 12x  - (x^2 - 16x + 28) = 120

-12x + 16x - 28 = 120

4x = 148

x = 37 cms

So the length was 37 cm and the width was 37-12 = 25 cm.

Answer: b=2/5

Step-by-step explanation:

Step 1: Cross-multiply.

2b−1/2 = b−1/6

(2b−1)*(6)=(b−1)*(2)

12b−6=2b−2

Step 2: Subtract 2b from both sides.

12b−6−2b=2b−2−2b

10b−6=−2

Step 3: Add 6 to both sides.

10b−6+6=−2+6

10b=4

Step 4: Divide both sides by 10.

10b/10 = 4/10

b = 2/5

The GDP of the hypothetical country in this case is R363 billion.

To calculate GDP, we use the following formula:

GDP = C + G + I + NX

where:

C = consumer spending

G = government spending

I = business investment

NX = net exports (exports - imports)

Now, let's plug in the given values into the formula and calculate the GDP:

GDP = R220 billion (C) + R50 billion (G) + R100 billion (I) + (R25 billion - R32 billion) (NX)

GDP = R220 billion + R50 billion + R100 billion - R7 billion

GDP = R363 billion

To know more about GDP here

https://brainly.com/question/31197617

#SPJ4

Answer: answer is $33.60

Step-by-step explanation:

Answer:

6.69 cm

Step-by-step explanation:

Given data

Diameter= 12cm

Radius= 6cm

Volume= 757.36cm^3

The expression for the volume of a cylinder is

V= πr^2h

Substitute

757.36= 3.142*6^2*h

757.36=113.112h

h= 757.36/113.112

h= 6.69 cm

Answer: -17

Step-by-step explanation:

-8+-9=-17

(っ◔◡◔)っ ♥ Answer:

⁎   -17        

Explanation:

-8 + ( -9 )

Parenthesis Multiplies the Negative ( - ) and Positive ( + ) which Is Negative ( - ). The the equation would be re-written as :  -8 - 9. Staring for -8 you going back (Because of subtraction) 9 times and you get -17 :D

A word from me:

- Please mark me brainiest, trying to achieve the next rank!

- Hope you have a wonderful & great day! ♥ ヾ(•ω•`)o

Answer:

x2 = 4py

Step-by-step explanation:

The population will be growing at a rate of 2,400 people per year approximately 6 years after 2000.

To find the year when the population is growing at a rate of 2,400 people per year, we can use exponential growth formula. Let's denote the initial population as P0 and the growth rate as r.

From the given information, in the year 2000, the population was 40,000 (P0), and by 2010, it had reached 55,085. This represents a growth over 10 years.

Using the exponential growth formula P(t) = P0 * e^(rt), we can solve for r by substituting the values: 55,085 = 40,000 * e^(r * 10).

After solving for r, we can use the formula P(t) = P0 * e^(rt) and set the growth rate to 2,400 people per year. Thus, 2,400 = 40,000 * e^(r * t).

Solving this equation will give us the value of t, which represents the number of years after 2000 when the population will be growing at a rate of 2,400 people per year. The approximate value of t is approximately 6 years. Therefore, the population will be growing at a rate of 2,400 people per year approximately 6 years after 2000.

To learn more about exponential growth  click here:

brainly.com/question/2810922

#SPJ11

Answer:

931.857143

Step-by-step explanation:

pls mark me as brainlist

Answer:

Quotient = 3x-5

Remainder = 3

Step-by-step explanation:

For any long division, I use the DMS principle, divide, multiply, subtract.

(x+6) | 3x² + 13 x - 27

First of all, divide the first part of the equation by x. (which is 3x²)

You get 3x.

Now take your 3x and multiply it by (x+6)

You get 3x²+18x. You need to subtract this from your equation.

(3x² + 13 x - 27) - (3x² + 18x) = -5x - 27

One round of DMS complete

Now,

(x+6) | - 5x - 27

We again divide the first part only by x again. You get -5

We multiply -5 by (x+6)

-5x-30.

Let's subtract it from the equation.

(-5x-27) - (-5x-30) = - 5x - 27 + 5x + 30 = 3

Second round of DMS complete.

We cannot divide 3 further by (x+6) so this is it.

The remainder is 3.

Now we take our answers, which is 3x and - 5 and add them to get 3x-5. This is our quotient.

Answer:1+1

Step-by-step explanation:

The equilibrium quantity is q = 24 at price p = $7,200

To find the equilibrium quantity and price, we need to set the supply equal to demand:

q^2 + 30q = -4q^2 + 10q + 19,200

Simplifying and rearranging, we get:

5q^2 - 20q + 19,200 = 0

Using the quadratic formula, we can solve for q:

q = [20 ± sqrt(20^2 - 4(5)(19,200))]/(2(5))

q = [20 ± 220]/10

Since a negative quantity of the commodity doesn't make sense in this context, we can reject the negative solution, leaving us with:

q = (20 + 220)/10 = 24

Now, we can use either the supply or demand function to find the equilibrium price. We'll use the demand function:

p = -4(24)^2 + 10(24) + 19,200

p = $7,200

Therefore, the equilibrium quantity is 24 units and the equilibrium price is $7,200 per unit.

Learn more about equilibrium price at https://brainly.com/question/5261821

#SPJ11

Answer:

To determine the best time of day to air the advertisement and which drink to focus on, we can look at the two-way tables provided.

First, let's look at the table that shows the percentage of customers who ordered coffee or tea based on the time of day:

Coffee Tea

Morning 80% 20%

Afternoon 60% 40%

Evening 40% 60%

Late Night 90% 10%

From this table, we can see that the majority of customers order coffee, regardless of the time of day. However, in the evening and late night, there is a higher percentage of customers who order tea. This could be because customers are looking for a warm and relaxing beverage before bed.

Next, let's look at the table that shows the percentage of customers who visit the coffee shop based on the time of day:

Morning Afternoon Evening Late Night

Percentage 20% 30% 35% 15%

From this table, we can see that the highest percentage of customers visit the coffee shop in the evening, followed by the afternoon. This suggests that airing the advertisement in the evening would reach the largest audience.

Based on these two-way tables, my recommendation would be to focus on coffee in the advertisement since it is the most popular drink overall, and to air the advertisement in the evening when the most customers visit the coffee shop. However, it may also be worth including a mention of tea in the advertisement, especially for the evening and late-night crowds.

Step-by-step explanation:

mark brainlist!

Answer: The relative frequency table for rows shows that a larger percentage of people are night owls and drink coffee. The same results are shown in the relative frequency for columns table. So, it would be best to air the advertisement at night and focus on coffee.

Step-by-step explanation:

Using combination, there are 1932 arrangments possible.

A combination is a mathematical approach that counts the number of potential configurations in a box containing objects, regardless of their order.

In combinations, we can select items in any order. In combinations, the order doesn’t matter.

The combination formula of given as: n! / r!(n-r)!

Each candy would be distributed in three different ways if there were no limits on how many candies might fit in a bag. 3⁷ different ways to distribute the sweets in this scenario. However, only empty blue and red bags count in this scenario.

There are 2⁷ methods to distribute candy if the red bag is left empty.

Similarly, for the blue bag.

Hence there are 2⁷ +2⁷ – 1 ways to distribute candy such that either blue or red bag is empty.

The total amount of circumstances and ways to deliver the sweets

= 3⁷ – (2⁷ + 2⁷ -1)

= 1932

Therefore, there are a total of 1932 arrangements possible.

Learn more about combination here:

brainly.com/question/11732255

#SPJ4

Answer:

7 in

Step-by-step explanation:

Answer:

a = 7 in

Step-by-step explanation:

\(Area = \frac{a+b}{2} \times h\\\\26.25 = \frac{a + 10.5}{2} \times 3\\\\26.25 \times 2 = (a+ 10.5) \times 3\\\\52.5 = (A + 10.5) \times 3\\\\\frac{52.5}{3} = a + 10.5\\\\17.5 = a + 10.5\\\\a = 17.5 - 10.5 = 7\)

Answer:

There’s 2 students not wearing blue or white shirts.

Step-by-step explanation:

Answer:

equation: 14.75 + 13.25.p = 94.25

p = 6

Step-by-step explanation:

p = (94.25 - 14.75)/13.25 = 6

Binary integer variables are variables whose values consist of two values, 0 and 1.

Correct answer will be :- b. Variables with values 0 and 1.

These values are also known as bits, which are represented as 0 and 1 in computers. Binary integer variables are used in computing as a way to represent numbers, characters, and instructions. Binary integer variables are used to represent information in digital systems, because they can be used to represent any value with a single bit.

For example, a single bit can represent a number, letter, or instruction. Binary integer variables are also used in computer programming, as they can be used to represent boolean values, such as true and false. Additionally, they can be used to represent various types of data, such as numbers, characters, and images.

know more about integer variables here

https://brainly.com/question/27855584#

#SPJ11

P(A and B) = P(A) × P(B) is the formula used to assess if two events are independent (B).

P(A) is the chance that event A will occur.

The chance that event B will occur is marked as P(B).

If the chance of both occurrences happening at the same time, P (A and B), equals the product of the individual probabilities of each event, P(A) x P(B), the events are called independent.

If, on the other hand, the chance of both occurrences occurring simultaneously is less than the product of the individual probabilities of each event, the events are deemed dependent.

Learn more about the independent events at

https://brainly.com/question/12619550

#SPJ4