select the appropriate limits of integration for finding the area between the functions defined by x = −1 and x = − y3 − 3y2.

Answer:

45

Step-by-step explanation:

At this point, b) is basically asking for how many two digits numbers have a greater digit on the right from 0-9, because we already know the other two digits in the four-digit pin.

01-09 has 9 poissibilites.

12-19 has 8 possibilites.

23-29 has 7 possibilites.

34-35 has 6 possibilites.

45-49 has 5 possibilites.

56-59 has 4 possibilities.

67-69 has 3 possibilities.

78-79 has 2 possibilities.

89 has 1 possibility.

90-99 has 0 possibilities.

9+8+7+6+5+4+3+2+1+0=45 possibilities.

Answer:

Step-by-step explanation:

Each of the digits 3 and 4 can get numbers 0 through 9, in total 10 options per each digit:

The two- digit combinations with the last digit being larger has the following cases:

Total number of possibilities:

Measurements need to be made every \(\frac{1}{2}\)times a month to find an overestimate and an underestimate for the number of pollutants that escaped during the first six months which differ by exactly 1 ton from each other.

Let's assume that measurements are made every 'x' time period. Then, the total number of measurements made in 6 months would be \(6/x\). Let's consider the scenario where an overestimate of the quantity of pollutants is made. In this case, the actual quantity of pollutants would be less than the estimated value. Let's assume the overestimate is 'O' tons.

Similarly, in the scenario where an underestimate is made, let's assume the actual quantity of pollutants is greater than the estimated value by 'U' tons.

Given that the difference between the overestimate and underestimate is 1 ton, we can write:\(O - U = 1\)

Now, we know that the total amount of pollutants that escaped during the first six months is constant. Let's assume the actual value of the quantity of pollutants that escaped during the first six months is 'Q' tons. Then, we can write\(Q = O + U + E\)

Here, E represents the estimation error, which is the difference between the actual quantity of pollutants that escaped and the estimated value. Since the overestimate is greater than the actual value, E is negative. Similarly, since the underestimate is less than the actual value, E is positive.

We can rewrite the above equation as:\(E = Q - O - U\)

Substituting the value of O - U = 1, we get:\(E = Q - (O + U)\)

We need to find the value of 'x' such that the absolute value of E is exactly 1 ton.

Let's assume that the estimated value of Q is equal to the actual value of Q. In this case, we can write:\(Q = 2E\)

Substituting the value of E, we get:\(Q = 2(Q - (O + U))\)

Simplifying this, we get:\(O + U = Q/2\)

Substituting the value of Q = 12 (since we are considering the first 6 months), we get:\(O + U = 6\). Since we know that \(O - U = 1,\) we can solve for O and U to get:

\(O = 3.5U = 2.5\)

Now, substituting the values of O and U, we get:\(E = Q - (O + U) = 6 - (3.5 + 2.5) = 0\)

This implies that the estimated value of Q is equal to the actual value of Q, and there is no estimation error.

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Answer:

The slope of Function A is less than the slope of Function B.

Step-by-step explanation:

Using the slope formula:

m = (y2 - y1)/(x2 - x1)

and the following ordered pairs from Function A:

(x1, y1) = (-5, -3)

(x2, y2) = (-10, -8)

m = (y2 - y1)/(x2 - x1)

\(m = \frac{-8 - (-3)}{-10 - (-5)} = \frac{-8 +3}{-10+5} = \frac{-5}{-5} = 1\)

Since Function A's slope = 1, and Function B's slope = 4, then it means that the slope of Function A is lesser than the slope of Function B.

Answer:

1.60+0.75x=8.35

x=9

Step-by-step explanation:

1.60+0.75x=8.35 will be the equation to determine the number of miles x.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Given that,

Pickup charge (fixed charge) = $4.60

Charge per mile = $0.75 /mile

Total charge = $8.35

So,

Total charge = pick up charge + Charge per mile × number of mile(x)

8.3.5 = 1.60 + 0.75x

1.60+0.75x=8.35

Hence "1.60+0.75x=8.35 will be the equation to determine the number of miles x".

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Answer:

6 trees and 12 bushes

Step-by-step explanation:

6 trees will be 474

12 bushes will be 276

474+276=750

6+12=18

hope this helps

Answer:

(i) From 0 to 50.

(ii) From 3 to 5.

(iii) From 3R to 5R, where R=3,4,5,...

Step-by-step explanation:

Let N be the number of players in a team.

As each team can have numbers of player ranging from 3 to 5, so

\(3\leqN\leq5\cdots(i)\)

Let P be the points scored by one player in one round of the game.

As each player can score up to 10 points in each round of the game, so

\(0\leq P \leq 10\cdots(ii)\)

(1) There are 5 members in the team formed by Elena.

So, points earned by 5 players in 1 round = 5P

From equation (ii), the range is

\(0\leq 5P \leq 50\)

Hence, the points earned by Elena's team is ranging from 0 to 50.

(2) If each played misses 1 point, then,

Points earned by 1 player in 1 round = 10-1=9

Hence, points earned by 5 players in 1 round = 9x5=45.

(3) Let R (an integer) denoted the number of teams.

As there are at least 3 teams in the game, so

\(R\geq3\cdots(iii)\)

As the number of players in one team is N, so

the number of players in R team is NR, where R=3,4,5,...

Now, from equation (i)

\(3R\leqNR\leq5R\)

Hence, if there are at least 3 teams, then the number of players is ranging from 3R to 5R.

For R=3, the number of players in the game is ranging from 3x3=9 to 5x3=15.

Answer:

n= -1.2

Step-by-step explanation:

I think because if you use slope equation to find the slope which is 3/5 and then you use point slop equation to find out what the equation would be. y=3/5x and then you substitue y for 18 and solve/simplify the equation to get -1.2.

Answer:

A.Shaniqua; 48 more beads

Step-by-step explanation:

Charlie : 25x96 = 2400

Shaniqua : 28x84= - 2352

_---------------------------------------

48

(a) The number 72% is a D. statistic.

(b) The unknown true percentage of American citizens who like ''real TV'' is a C. parameter.

It is related to statistics and parameters.

(a) The number 72% is a statistic because it represents a summary measure of the sample of individuals who participated in the phone-in poll.

A statistic is a numerical value calculated from a sample of data, and it is used to make inferences about the population from which the sample was drawn.

(b) The unknown true percentage of American citizens who like ''real TV'' is a parameter.

A parameter is a numerical characteristic of a population, such as a mean, proportion, or standard deviation, and it is typically unknown and estimated from sample data.

In this case, the percentage of all American citizens who like ''real TV'' is unknown and cannot be directly observed, so it is considered a parameter.

The phone-in poll only represents a sample of individuals who called in to the newspaper and cannot be used to estimate the parameter for the entire population.

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The maximum profit is 6 and it is obtained when we mix 0.6 kg of type A, 0 kg of type B, and 0.4 kg of type C.

The optimal mix for the maximum profit can be found as follows:

The company mixes three types of toffees, A, B, and C. Let the weights of type A, B, and C be a, b, and c kg, respectively. Let us assume that we are making 1kg of toffee pack. Therefore, the weight of type C should be 1 - (a + b) kg. Also, the mixture must contain at least 300 gms of type A i.e a >= 0.3 kg

Also, the weight of the first two types (A and B) must be at least equal to the weight of type C, i.e a + b >= c. This condition can also be written as a + b - c >= 0

Let us now calculate the total cost of making 1kg of toffee pack.

Cost = 20a + 10b + 5c

If the pack is sold at Rs. 17, then the profit per 1kg of toffee pack is by

Profit = Selling Price - Cost = 17 - (20a + 10b + 5c)

Now we have the following linear programming problem:

Maximize P = 17 - (20a + 10b + 5c)

Subject to constraints: a + b + c = 1 (since we are making 1kg of toffee pack)

a >= 0.3a + b - c >= 0a, b, c >= 0

We can use the simplex method to solve this linear programming problem. However, to save time, we can solve it graphically. The feasible region is as follows:

We can see that the corner points of the feasible region are: (0.3, 0, 0.7), (0.6, 0, 0.4), (0, 0.5, 0.5), and (0, 1, 0).

Let us calculate the profit at each of these corner points. For example, at the point (0.3, 0, 0.7), we have a = 0.3, b = 0, and c = 0.7. Therefore, the profit is

P = 17 - (20(0.3) + 10(0) + 5(0.7)) = 3.5

Similarly, we can calculate the profit at the other corner points as well. The corner point (0.3, 0, 0.7) gives a profit of 3.5

Corner point (0.6, 0, 0.4) result in a profit of 6

Corner point (0, 0.5, 0.5) results in a profit of 5

Corner point (0, 1, 0) gives a profit of 3

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Answer:

I LOVE ALGEBRA anyways

othe ans is in the picture and the steps how  got the ans

(hope it helps can i plz have brainlist it will make my day :D hehe)

Step-by-step explanation:

Answer:

Answer

Step-by-step explanation:

OK, there are 360 students in the whole school and 15 classes there, too.

Each class has an EVEN amount of students, so simply, all you need to do is divide (360 divided by 15)

Answer:

Β. ΔEFH, ΔEGF, ΔFGH

Answer:

m∠MKN = 61°

Step-by-step explanation:

Since KN is a perpendicular bisector, m∠NKM and m∠MKJ have to add up to 90°.

Step 1: Set up equation

6x + 7 + 3x + 2 = 90

Step 2: Solve for x

Step 3: Find m∠MKN

m∠MKN = 6x + 7

m∠MKN = 6(9) + 7

m∠MKN = 54 + 7

m∠MKN = 61°

Answer:

61

Step-by-step explanation:

Since JKL is a straight line, it equals 180

JKM + MKN + NKL = 180

3x+2 + 6x+7 + 90 = 180

Combine like terms

9x+99 = 180

Subtract 99 from each side

9x+99-99= 180-99

9x =81

Divide each side by 9

9x/9 = 81/9

x=9

We want MKN

6x+7 = 6*9 +7 = 54+7 = 61

Answer:

x=c-g or x=-g+c

Step-by-step explanation:

On solving the given problem by help of mathematical operations, we got - After Ray poured 0.47L, he was left with 2.201L.

The term "operation" in mathematics refers to the process of calculating a value using operands and a math operator. For the given operands or numbers, the math operator's symbol has predetermined rules that must be followed.

In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Total amount of tea Ray has - 2.671L

Amount of tea Ray poured - 0.47

Therefore,

amount he was left with was  = 2.671- 0.47 = 2.201L

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Answer:

no solution is the answer

Step-by-step explanation:

Answer:500

explanchion: 1000/50=500

Answer:

10

Step-by-step explanation:

\(\frac{2}{3} /\frac{1}{15} =\\ \frac{2}{3} *\frac{15}{1} =\\ \frac{30}{3} = \\ 10\)

Answer:

14

Step-by-step explanation:

because ab means 2(5), then add 4 you get your answer as 14

Answer:

132.5 cm²

Step-by-step explanation:

The cuboid has 6 surfaces, actually 3 pairs of equal surfaces. You add the areas of each of them:

top/bottom: 2.3*7.5 =  17.25 cm²

front/back: 5*7.5 = 37.5

left/right: 2.3*5 = 11.5

add them: 17.25 + 37.5 + 11.5 = 66.25 cm²

Now double that value to get all sides: 2*66.25 = 132.5 cm²

Never forget the unit (cm²)!

Answer:

You have to calculate 3 pairs of surface areas:

2 x 7.5 x 5 = 75

2 x 2.3 x 7.5 = 34.5

2 x 2.3 x 5 = 23   and that totals

132.5

Step-by-step explanation:

Thus, the derivative of the given expression

8t^7 - [(5t+1)(1/t) - ln(t)(5)]/(5t+1)^2`

and the indefinite integral is `t^8-ln(t)/(5t+1) + C`.

Derivative or Indefinite integral of given expression `d/dt ∫ t^8 - ln(t)/(5t+1) dt` can be found using the formula of Chain Rule and Integration by Substitution. Let's apply the Chain rule to find the derivative of the given expression.

d/dt ∫ t^8-ln t/5t+1 dt= d/dt [t^8 - ln(t)/(5t+1)]

First, we find the derivative of t^8 as `d/dt(t^8) = 8t^7`

Now we apply the derivative of the second term of the given expression by using the quotient rule.`

d/dt[ln(t)/(5t+1)] = [(5t+1)d/dt[ln(t)] - ln(t)d/dt[5t+1]]/(5t+1)^2`

Now, `d/dt[ln(t)] = 1/t` and `d/dt[5t+1] = 5`

So, `d/dt[ln(t)/(5t+1)] = [(5t+1)(1/t) - ln(t)(5)]/(5t+1)^2`

Thus, the derivative of the given expression `

d/dt ∫ t^8-ln t/5t+1 dt` is

`8t^7 - [(5t+1)(1/t) - ln(t)(5)]/(5t+1)^2` and the indefinite integral is

`t^8-ln(t)/(5t+1) + C`.

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The person would save $404 with the HMO if he or she had 12 physical therapy sessions costing $145 each.

In this problem, a health insurance policy pays 80% of the cost of physical therapy. The HMO charges $34 per visit. You need to calculate how much a person would save with the HMO if he or she had 12 physical therapy sessions costing $145 each.1. First, let's calculate the total cost of physical therapy without insurance. The cost of one session of physical therapy is $145. There are 12 sessions. Therefore, the total cost is:Total Cost = $145 × 12 = $1740 2. Next, let's calculate the amount that the person would have to pay out of pocket with the insurance policy. The deductible is $580.

Therefore, the person would have to pay $580 before the insurance policy starts paying. After the deductible, the insurance policy pays 80%. Therefore, the person would have to pay 20%.Total out-of-pocket costs = $580 + 0.2 × (total cost - deductible)= $580 + 0.2 × ($1740 - $580) = $580 + 0.2 × $1160 = $580 + $232 = $812 3. Finally, let's calculate the cost of physical therapy with the HMO. The HMO charges $34 per visit. There are 12 visits. Therefore, the total cost is:Total Cost = $34 × 12 = $408The person would save:Amount saved = total cost with insurance - total cost with HMO= $812 - $408 = $404

Therefore, the person would save $404 with the HMO if he or she had 12 physical therapy sessions costing $145 each.

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The sum of the factors is:x + y = 16 + (-3) = 13The sum of the factors is 13.

To solve this problem, we need to use factoring of algebraic expressions. We are given that two factors of -48 have a difference of 19, and the factor with a greater absolute value is positive. We are to find the sum of the factors.The first step to solving this problem is to write -48 as a product of two factors that differ by 19. Let x be the greater of these factors, and let y be the other factor. Then we have:x - y = 19xy = -48

We need to solve these equations to find the values of x and y. We can solve the second equation for y by dividing both sides by x: y = -48/x. We can then substitute this expression for y into the first equation: x - (-48/x) = 19x + 48/x = 19Multiplying both sides of this equation by x gives us a quadratic equation: x² + 48 = 19xRearranging this equation, we get: x² - 19x + 48 = 0We can solve this quadratic equation using factoring. We need to find two numbers that multiply to 48 and add up to -19. These numbers are -3 and -16. Therefore, we can write: x² - 19x + 48 = (x - 3)(x - 16)Setting each factor equal to zero gives us the possible values of x: x - 3 = 0 or x - 16 = 0x = 3 or x = 16Since we know that the factor with the greater absolute value is positive, we have:x = 16 and y = -48/x = -3

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Trent writes 10×6=60, then in multiplication equation 10 represents the quantity of muffin boxes, 6 represents the numbers of muffins in each box and 60 represents the full numbers of muffins.

According to the statement

We have to find that the multiplication equation.

So, For this purpose, we know that the

The linear equation is defined as an equation that is written in the form of Ax+By=C.

From the given information:

Given,

Trent writes 10×6=60,

Here,

10 represents the quantity of muffin boxes

And

6 represents the numbers of muffins in each box

Then

60 represents the overall numbers of muffins

Hence, Trent writes 10×6=60, then within the multiplication equation 10 represents the amount of muffin boxes, 6 represents the numbers of muffins in each box and 60 represents the full numbers of muffins.

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