If 6 bags of chocolate chips are needed to make 86 cookies, how many cookies can 8 bags chocolate chips make?

Answer:

44 is the right answer.

Step-by-step explanation:

45+(-1)

44

The integral of value of  \(\int \:-\frac{sech\left(3x\right)sinh\left(3x\right)}{cosh\left(3x\right)}dx\) is 1/3sech(3x)+c

The given integral is \(\int \:-\frac{sech\left(3x\right)sinh\left(3x\right)}{cosh\left(3x\right)}dx\)

Take the constant out

\(\int \:a.f\left(x\right)dx=a\int \:f\left(x\right)\:dx\)

Use the hyperbolic identity

sinh(x)/cosh(x)=tanh(x)

Apply this hyperbolic identity in the above integral

\(\int \:-{sech\left(3x\right)tanh\left(3x\right)}dx\)

Apply u substitution

-∫-1/3 du

substitute u =sech(3x)

After applying the u in the integral we get

\(=-\left(-\frac{1}{3}\right)\sech \left(3x\right)\)

=1/3sech(3x)

Add constant c to the answer

=1/3sech(3x)+c

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Answer:

\(\textsf{D.} \quad \dfrac{1}{3}\:\text{sec\:h}(3x)+\text{C}\)

Step-by-step explanation:

\(\boxed{\displaystyle \int \text{f}(x)\:\text{d}x=\text{F}(x)+\text{C} \iff \text{f}(x)=\dfrac{\text{d}}{\text{d}x}(\text{F}(x))}\)

If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a constant of integration.

Given indefinite integral:

\(\displaystyle \int -\dfrac{\text{sech}(3x)\sinh(3x)}{\cosh(3x)}\; \text{d}x\)

Use the following hyperbolic identity to rewrite the integral:

\(\boxed{\dfrac{\sinh(\theta)}{\cosh(\theta)}=-\tanh(\theta)}\)

Therefore:

\(\displaystyle \int -\dfrac{\text{sech}(3x)\sinh(3x)}{\cosh(3x)}\; \text{d}x=\displaystyle \int -\text{sech}(3x)\tanh(3x)\; \text{d}x\)

Multiply by 3/3:

\(\displaystyle \int -\dfrac{3}{3}\: \text{sech}(3x)\tanh(3x)\; \text{d}x\)

Take the constant 1/3 out:

\(\dfrac{1}{3}\displaystyle \int -3\:\text{sech}(3x)\tanh(3x)\; \text{d}x\)

Apply the integration rule:

\(\boxed{\displaystyle \int -k\:\text{sech}(kx)\tanh(kx)\; \text{d}x=\text{sech}(kx)+\text{C}}\)

Therefore:

\(\dfrac{1}{3}\displaystyle \int -3\:\text{sech}(3x)\tanh(3x)\; \text{d}x=\dfrac{1}{3}\:\text{sech}(3x)+\text{C}\)

Answer:

Step-by-step explanation:

We have to represent two real world situations that could be represented by the value -2.

(1) Let there be a fish which is 2 meter below the sea level.

Considering the sea level point to be zero and denoting the points above sea level as positive and the points below sea level as negative, like we do in a cartesian plane, the point which is 2 meter below the ground level will be -2.

(2) Let there be a box buried 2 feet under the ground.

Considering the ground level to be zero and denoting the point above the ground level as positive and the points below ground level as negative, the point which is 2 meter below the ground level will be -2.

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To verify if two functions are inverse functions, their composites must have a value of x.

The composite function of f(x) and g(x) is given by the following rule:

(f ∘ g)(x) = f(g(x)).

It means that the output of the inside function serves as the input for the outside function.

If two functions f(x) and g(x) are inverses, then we have that:

The problem is incomplete, hence the procedure to verify if two functions are inverse is presented.

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We want to find the cost of a granola bar and a water bottle. Let x be the cost of the granola bar and y the cost of the water bottle. We are told that 10 granola bars and 12 bottles of water cost 23. As x is the cost of one granola bar, 10 x is the cost of 10 granola bars. So if we add the cost of the granola bars and the cost of the water bottles we get the total cost. This leads to the equation

Now, if we calculate the equation for the other situation (5 granola bars and 4 bottles are 10) we get the equatio

Let us multiply the second equation by 2. So we get

Now, we can subtract the second equation from the first one, so we ge t

so if we divide both sides by 4, we get

so the cost of one water bottle is 0.75

Now we replace this value in the first equation, so we get

If we subtract 9 from both sides we get

So if we divide both sides by 10, we get

so the cost of a granola bar is 1.4

Now, we know that a granola bar costs 1.4 and a water bottle costs 0.75. If we sell x granola bars, the total income for x granola bars would be 1.4x. In the same manner, the total income for y water bottles would be 0.75y. If we add this two quantities we get

as this quantity should be at least 150, this means that it is greater than or equal to 150, so we get the inequality

which is option B

Answer:

a.

\( {15x}^{3} - 26 {x}^{2} + 26x - 24\)

b. No

Step-by-step explanation:

a.

\((3x - 4)(5 {x}^{2} - 2x + 6)\)

\( = 15 {x}^{3} - 6 {x}^{2} + 18x - 20 {x}^{2} + 8x - 24\)

\( = 15 {x}^{3} - 26 {x}^{2} + 8x - 24\)

b. No, because 4 - 3x = -(3x -4).

\(\huge\bold\purple{Answer:-}\)

Evaluating and Solving Functions

LEARNING OUTCOMES

Evaluate and solve functions in algebraic form.

Evaluate functions given tabular or graphical data.

When we have a function in formula form, it is usually a simple matter to evaluate the function. For example, the function

[Math Processing Error]

f(x)=5−3x2

can be evaluated by squaring the input value, multiplying by 3, and then subtracting the product from 5.

HOW TO: EVALUATE A FUNCTION GIVEN ITS FORMULA.

Replace the input variable in the formula with the value provided.

Calculate the result.

EXAMPLE: EVALUATING FUNCTIONS

Given the function[Math Processing Error]

h(p)=p2+2p

, evaluate[Math Processing Error]

h(4).

The total amount the man had = 52,200 rupees. Out of this, he gave 21,750 rupees to his son, 13,050 rupees to his daughter, and 17,400 rupees to his wife , the total amount given away by the man = 21,750 + 13,050 + 17,400 = 52,200 rupees.

A man gave 5/12 of his money to his son, 3/7 of the remainder to his daughter, and the remaining to his wife. If his wife gets Rs. 8,700, what is the total amount?

The given problem can be solved using the concept of ratios and fractions. Let us solve the problem step-by-step.Assume the man had x rupees with him.The man gave 5/12 of his money to his son.

The remaining amount left with the man = x - 5x/12= (12x/12) - (5x/12) = (7x/12)The man gave 3/7 of the remainder to his daughter.'

Amount left with the man after giving it to his son = (7x/12)The amount given to the daughter = (3/7) x (7x/12)= (3x/4)The remaining amount left with the man = (7x/12) - (3x/4)= (7x/12) - (9x/12) = - (2x/12) = - (x/6) (As the man has given more money than what he had with him).

Therefore, the daughter's amount is (3x/4) and the remaining amount left with the man is (x/6).The man gave all the remaining amount to his wife.

Therefore, the amount given to the wife is (x/6) = 8700Let us find the value of x.x/6 = 8700 x = 6 x 8700 = 52,200

Therefore, the man had 52,200 rupees with him.He gave 5/12 of his money to his son. Therefore, the amount given to his son is (5/12) x 52,200 = 21,750 rupees.

The remaining amount left with the man = (7/12) x 52,200 = 30,450 rupees.He gave 3/7 of the remainder to his daughter. Therefore, the amount given to his daughter is (3/7) x 30,450 = 13,050 rupees.

The amount left with the man = (4/7) x 30,450 = 17,400 rupees.The man gave 17,400 rupees to his wife.
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Answer:

(1 point)

No, there isn't a more efficient way to solve this system.

Yes, a more efficient way is to multiply the first equation by 4, add to eliminate y, then solve for x.

Yes, a more efficient way is to multiply the first equation by −4, add to eliminate y, then solve for x.

Yes, a more efficient way is to multiply the first equation by −4, add to eliminate x, then solve for y.

Answer:

6a + 6b

Step-by-step explanation:

Use  Distributive property: a( b +c) =(a *b) +(a*c)

6(a + b) = 6*a + 6*b

            = 6a+ 6b

Answer:

1/982080 as a fraction

0.000001 when rounded to the nearest millionth

Step-by-step explanation:

Each time they pick a movie the odds change

the first pick is 1/33

the second is 1/32

the next is 1/31

the last is 1/30

multiply these fractions

Answer:

x = -1,375

y = -5

Step-by-step explanation:

{-8x + y = 6, / : (-1)

{-8x + 3y = -14;

Multiply the first equation by -1, so that we could eliminate 8x:

+ {8x - y = -6,

{-8x + 3y = -14;

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

4y = - 20 / : 4

y = -5

Now, make x the subject from the first equation (you can do it from the 2nd one instead):

8x = -6 + y / : 8

x = -0,75 + 0,125y

x = -0,75 + 0,125 × (-5) = -0,75 - 0,625 = -1,375

Answer:

\(y=\dfrac{5}{4}x^3+10\)

Step-by-step explanation:

Given information:

Create two equations by substituting the given points into the given equation:

Equation 1:  point (0, 10)

\(\implies a(0)^3+d=10\)

\(\implies 0+d=10\)

\(\implies d=10\)

Equation 2:  point (2, 20)

\(\implies a(2)^3+d=20\)

\(\implies 8a+d=20\)

Substitute Equation 1 into Equation 2 and solve for a:

\(\implies 8a+d=20\)

\(\implies 8a+10=20\)

\(\implies 8a+10-10=20-10\)

\(\implies 8a=10\)

\(\implies \dfrac{8a}{8}=\dfrac{10}{8}\)

\(\implies a=\dfrac{10}{8}\)

\(\implies a=\dfrac{5}{4}\)

Finally, substitute the found values of a and d into the original formula:

\(\implies y=\dfrac{5}{4}x^3+10\)

Check by substituting the x-values of the two given points into the found equation:

\(x=0 \implies y=\dfrac{5}{4}(0)^3+10=10 \leftarrow \textsf{correct}\)

\(x=2 \implies y=\dfrac{5}{4}(2)^3+10=20 \leftarrow \textsf{correct}\)

Put(0,10)

Now

Put again (2,20) this time

The answer would be (C) 20.

Answer:

The 2nd quartile, also known as the median, is the middle value of a dataset, or the value that separates the lower half of the data from the upper half. In a box-and-whisker plot, the 2nd quartile is represented by the line in the middle of the box.

In the given box-and-whisker plot, the 2nd quartile is 12.5, which is the middle value of the data set. This can be determined by looking at the scale on the x-axis and finding the value that is in the middle of the box.

Option B, 12.5, is the correct answer.

Step-by-step explanation:

Using trigonometric identities when  cosθ = √2/2 and 3π/2 < θ < 2π

Trigonometric identities are mathematical equations that contain tigonometric ratios

Since cosθ = √2/2 and 3π/2 < θ < 2π, we desire to find sinθ and tanθ. We proceed as follows

a. To find sinθ, using the trigonometric identity

sin²θ = 1 - cos²θ

⇒ sinθ = ±√(1 - cos²θ)

So, substituting the value of cosθ into the equation, we have that

sinθ = ±√(1 - cos²θ)

sinθ = ±√(1 - (√2/2)²)

= ±√(1 - 2/4)

= ±√[(4 - 2)/4]

= ±√[2/4]

= ±√2/2

Since 3π/2 < θ < 2π, which is the fourth quadrant, we take the negative answer.

So, sinθ = -√2/2

b. To find tannθ, using the trigonometric identity

tan²θ = sec²θ - 1

⇒ tanθ = ±√(sec²θ - 1)

= ±√(1/cos²θ - 1)

So, substituting the value of cosθ into the equation, we have that

tanθ = ±√(1/cos²θ - 1)

tannθ = ±√(1/(√2/2)² - 1)

= ±√(1/2/4 - 1)

= ±√(4/2 - 1)

= ±√[2 - 1]

= ±√1

Since 3π/2 < θ < 2π, which is the fourth quadrant, we take the negative answer.

So, tanθ = -1

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People are worried about the future of Social Security due to several reasons.

Concerns regarding the future of Social Security are fueled by a mix of demographic changes, financial difficulties, rising benefit costs, political barriers, and a lack of public understanding.

To guarantee the program's long-term viability and efficacy, policymakers must deal with these problems in a proactive manner.

a. Demographic Shifts: One of the primary concerns is the demographic shift occurring in many countries, including the United States.

b. Financial Challenges: Social Security operates on a pay-as-you-go system, where current workers' payroll taxes fund the benefits of current retirees.

c. Increasing Benefit Costs: Healthcare costs and the general cost of living have been rising over time. This puts pressure on Social Security as benefits need to keep pace with inflation and ensure an adequate standard of living for retirees.

d. Political and Legislative Challenges: Addressing the issues facing Social Security requires making difficult decisions, such as increasing payroll taxes, raising the retirement age, adjusting benefit formulas, or introducing means-testing.

e. Lack of Public Awareness: Many people are unaware of the financial challenges faced by Social Security or the potential consequences if reforms are not implemented. This lack of awareness can hinder public support for necessary changes and delay action until the situation becomes more critical.

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Answer: C

Step-by-step explanation:

For this problem, we need to graph y=2x-5. We can eliminate A and D because the graph is not y=2x-5. The main difference between B and C is the shading and line. Since we see the inequality is less than, but NOT equal to, we know that the line will be dashed. The solid line tells us that the graph reaches the line, meaning it is equal to. Therefore, we can eliminate B. C is the correct answer. We also know that the shading would be under the dashed line because it is LESS THAN.

Answer:

2 5/12

Step-by-step explanation:

deduct the sum of 2 1/4 and 3 2/6 from 8

i prefer to change them to improper fractions

9/4 + 20/6 = 27/12 + 40/12 = 67/12

8 can be change to 96/12

96/12 - 67/12 = 29/12 or 2 5/12

The energy expended in traveling by car is 3.6 mj/passenger-kilometer. the value for traveling by train is 1.1 mj/passenger-kilometer. Increase the number of passengers would be the best means to increase the efficiency of traveling by car. So the option 1 is correct.

Some ways to increase the efficiency of traveling by car:

1. Drive carefully and slowly

Driving on the open road is never the time for aggression. It impairs judgement and can cause rash actions. When operating your automobile, you must maintain a similar sense of composure and careful handling.

2. Turn off the engine while the car is idling.

If your car will be sitting still for more than 30 seconds, experts suggest shutting off the engine. Keeping your car's engine running when it is idling will only result in increased fuel consumption.

3. Travel at a steady pace.

Driving at a modest speed is the solution to the question of how to increase the mileage of your car. When this easy habit is followed, it will actually change things.

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The complete question is:

The energy expended in traveling by car is 3.6 mj/passenger-kilometer. the value for traveling by train is 1.1 mj/passenger-kilometer. What would be the best means to increase the efficiency of traveling by car? Please choose the correct answer from the following choices, and then select the submit answer button.

1. Increase the number of passengers

2. Decrease the number of passengers

3. Drive at High speed

4. Use aggressive driving

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  B) ΔCAT is congruent to ΔDOG

Step-by-step explanation:

If angles are congruent, the triangles are similar. When both corresponding angles and corresponding sides are congruent, the triangles are congruent.

  ΔCAT is congruent to ΔDOG

Answer:

where is the figure?? I need the figure to solve the question! Thank you!

The first quantity (45g) as 60 percentage of second (75g).

A part of whole expressed in Hundredth. Percentage is a fraction of a number out of 100%. It can be in fraction or in decimal.

To convert the given percentage value in decimal, divide the given value by 100.

For example:

1. 50% in decimal or fraction will be 50/100 = 0.5.

2. 20% in decimal or fraction will be 20/100 = 0.2.

1. Finding the total amount from which we need to find the percent.

2. Dividing the required amount to find the percentage by total amount.

3. Multiply it by 100.

For example:

1. It rained 10 of the 30 days in April.

Percentage will be 10/30 = (1/3) x 100

Percentage = 33.33%

Here, we have given that:

Total amount = 75g

Required amount for percent = 45g

Now, to find the percentage:

Percentage = 45/75

Percentage = 0.6 x 100

Percentage = 60%

Hence,

The first quantity (45g) as 60 percentage of second (75g).

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The translation of the graph that has the domain [−3, 6] is:

B. g(x) = |x + 3|.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

In this problem, the parent function is given by:

f(x) = |x|.

The domain changed by [−6, 3] to [-3,6], meaning that 3 units was added to each bound of the domain, hence x -> x + 3 and:

g(x) = |x + 3|.

Which means that option B is correct.

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They can buy 120 vans, 60 small trucks, and 80 large trucks.

The truck company plans to spend 10 million on 260 vehicles. Each commercial van cost 25,000 dollars. Each small truck 50,000 dollars and each large truck 50,000 dollars. They needed twice as many van as small truck

Therefore,

let

s = number of small truck

number of van = v

let

l = number of large truck

v + s + l = 260

25,000(v) + 50,000(s) + 50,000(l) = 10,000, 000

v + 2s + 2l = 400

Hence,

v = 2s

So,

2s + 2s + 2l = 400

4s + 2l = 400

2s + s + l = 260

3s + l = 260

2s + l = 200

s = 60

l = 200 - 2(60)

l = 200 - 120

l = 80

v = 2(600 = 120

Therefore, they can buy the following:

number of small truck = 60

number of van = 120

number of large truck = 80

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The angles that we have in the image here are:

When two angles are measured, they sum up to 180. They are said to be supplementary angles.

On the question, we have two angles that are 90 degrees on a straight line. Hence they are supplementary.

This is an angle that is at 90 degrees. We have to two right angles on the diagram that we have here.

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The form of association that would be found in the variables would be:

As the number of hours spent playing a video game increases, the player is likely to reach higher levels within the game. So positive association.

The number of letters in a person's name and the last digit of their phone number are likely to be unrelated and randomly distributed. There is no association.

As the temperature of the drink decreases, the number of ice cubes in the drink is likely to increase, and vice versa. This is therefore negative association.

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Answer:

B or 50%

Step-by-step explanation:

First, you add all of them together

30 + 16 + 14 = 60

Then you do the part/whole

30/60 = 1/2

1/2 = 50%