Jeff bought 15 granola bars for $30. How much does it cost per granola bar? $

Answer:

this is the answer:5/6.

Answer:

= 5/6

Step-by-step explanation:

2/6 ÷ 4/5

= 2/6 × 5/4

= 10/24

= 5/6

Answer:

The formula makes sense

Step-by-step explanation:

For illustration purposes, we will assume the yard is a rectangle ( such assumption does not in any way invalid the arguments that follows

Dimensions of the yard

L = 10 m

w = 4 m

A = 40 m²

Arguments:

1.- The required time (t)  is proportional to the area (A). That means ( keeping all parameters fixed but Area ) we need more time to mow a bigger area yard. Then  t ∝ A

You can see that if the yard is 40 m²  you will take let´s say 0,5 day and you will need more time if the area is 100 m² ( it seems obvious )

2.- Let´s now assume the width of the mower is 1 m if you move along the length you will need to go forward and backward  4 times. Now think about a mower of 4 m ( it does not matter if that machine exists or no, is just a mental experiment) in that case you only need one pass, then the required time is inversely proportional to the width of the mower. That means a bigger width of the mower minor required time. Then t ∝ 1/w

3.-If now we keep the width of the mower but increased the speed of the machine we will reduce the working time. Time is an inversely proportional function of the speed of the machine since each required pass will take less time. Then  t ∝ 1/v

We have evaluated three parameters A, w, and v ( area, the width of the mower,  and speed ) and demonstrated the way each of these parameters influences the time, so far we don´t know how much each of them contributes  in the total output, for that we have to measure and get conclusions, Furthermore coefficient 1,15 (in formula seems to take into account the hole combinations of the factors)

72 millimeters is equal to 2.83 inches.

Length is a measure of the distance between two points. There are different units of measurement for length, one of which is millimeters (mm) and another is inches (in). In order to convert from one unit to another, we use a conversion factor.

Here's how you convert 72 millimeters to inches:

1 inch = 25.4 millimeters

So, to convert 72 millimeters to inches, we divide by the conversion factor:

72 mm / 25.4 mm/in = 2.83 in

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Answer:

C (a, b) is the cordinates of point c.

Answer:

There are 90 students in this school.

Step-by-step explanation:

Answer:

90 students are in the class

Step-by-step explanation:

So basically, you need to make this ration fraction equation:

\(\frac{1}{3} \\\\\)  - \(\frac{1}{9} \\\) = 20 .

you would come up with 2/9 is 20.

Times it by both sides and you will get 180=2x.

Note this x is added so you will get a variable and not get confused.

Then, your answer would become x=90.

Answer:( -3, 10)

Step-by-step explanation:

The inequality 4P[(X - 1) < 4] > (2 - m)(2 + m) holds for the given density function and any positive value of m.

To prove the inequality 4P[(X - 1) < 4] > (2 - m)(2 + m), where X is a random variable with the given density function, we can follow these steps:

1. Start by finding the cumulative distribution function (CDF) of X. We integrate the density function from negative infinity to x:

  F(x) = ∫[1/(2m^2)](t - 1) dt from -∞ to x

2. Evaluate the integral to obtain the CDF:

  F(x) = (1/2m^2)(x^2 - 2x + 1) for x ≥ 1

3. Next, calculate the probability P[(X - 1) < 4] using the CDF:

  P[(X - 1) < 4] = F(5) - F(1)

4. Substitute the values of F(5) and F(1) into the equation:

  P[(X - 1) < 4] = (1/2m^2)(25 - 10 + 1) - (1/2m^2)(1 - 2 + 1)

                 = (1/2m^2)(16) = 8/m^2

5. Now, we need to prove that 4P[(X - 1) < 4] > (2 - m)(2 + m).

  Substitute the expression for P[(X - 1) < 4] into the inequality:

  4(8/m^2) > (2 - m)(2 + m)

6. Simplify the inequality:

  32/m^2 > 4 - m^2

7. Multiply both sides by m^2:

  32 > 4m^2 - m^4

8. Rearrange the equation:

  m^4 - 4m^2 + 32 < 0

9. Note that the left-hand side of the inequality is always positive since it represents the square of a real number. Therefore, the inequality holds for any positive value of m.

10. Hence, we have proven that 4P[(X - 1) < 4] > (2 - m)(2 + m) for all positive values of m.

In conclusion, we have shown that the given inequality holds for the given density function and any positive value of m.

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Answer: Z and 96 are vertical angles so they equal each other. The other angle makes a straight line with the 96 degree angle so subtract from 180 to find the measure of that angle is 84. Set the expression equal to 84 and solve.

Step-by-step explanation:

Answer:

Step-by-step explanation:

try the other answer.

Answer:

a. x=2

b. y=5

Step-by-step explanation:

a. 2(11x+7)=58

22x+14=58

x=2

b. 16y+10=90

16y=80

y=5

a) To maximize its net savings, the company should use the new machine for 7 years.  b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar).  c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).

Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.

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Answer:

=28x

Step-by-step explanation:

Solve within parenthesis first;

Subtract 9-2=7

=4*7x

Multiply the numbers;

4*7=28

=28x

Answer:

$14.38

Step-by-step explanation:

Money spent:

Money left:

Answer:

$14.38

Step-by-step explanation:

Answer:

x =2                x = -4

Step-by-step explanation:

-5|x + 1|+ 3 = -12

Subtract 3 from each side

-5|x + 1|+ 3-3 = -12 -3

-5|x + 1| = -15

Divide each side by -5

-5/-5|x + 1| = -15/-5

|x + 1| = 3

Since this is an absolute value, we have two solutions one positive and one negative

x+1 = 3     x+1 = -3

Subtract 1 from each side

x+1-1 = 3-1     x+1-1 = -3-1

x =2                x = -4

Answer:

the answer is c

Step-by-step explanation:

Answer:

(-7)^8

Step-by-step explanation:

You write as (-7) to the power of n where n is the #of times you write (-7)

Answer:

-7

Step-by-step explanation:

Answer:

x intercepts: (-1,0) and (2.5,0)

It will be a minimum because the coeficcent for the degree is positive. The coordinates of the vertex are: (.75,-6.125)

To graph this I would first draw points on the vertex (.75,-6.125) and the x intercepts (-1,0) and (2.5,0). I would then simply just sketch a parabola that met all those points.

Step-by-step explanation:

Work Below (can clarify anything if needed)

From calculating the percentages we can say that 43 more students went on Friday than Saturday.

Percentage is defined as quantity per hundred. Percentage is calculated by dividing the given number by the total number and multiplying it by 100.

From the survey we can see that 550 students were supposed to go on Friday. But it is given that 18 percent students did not go to the festival.

Number of students who went = 550 - (18% of 550 )

Therefore students = 550 - 99 =451 students

Again from the survey we can see that 480 students were supposed to go on Saturday . But it is given that 15 percent students did not go to the festival.

Number of students who went =480 - (15% of 480 )

Therefore students = 480 - 72 = 408 students

Therefore the number of more students who went on Friday than Saturday is 451-408 = 43 students

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The gravity is working. Energy-based items are affected by gravity. The vertical motion model, h = -16t2 + vt + s, where v is the initial velocity in feet/second and s is the height in feet, to calculate the maximum height of the ball.

The distance traveled in flight increases with release level. This is because the projectile will stay in the air longer if it is launched higher. The projectile will be under the influence of the horizontal component longer.

The beginning vertical velocity determines the maximum height. Increasing the launch angle raises the maximum height because steeper launch angles have a larger vertical velocity component.

Greater maximum height is associated with greater launch angles.

Greater relative projection height results in longer flight time, which increases horizontal displacement when projection speed is constant.

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Answer:

Step-by-step explanation:

Answer:

sin theta = -2 sqrt(14)/15

Step-by-step explanation:

cos theta = adj / hyp

We can find the opp side by using the Pythagorean theorem

adj ^2 + opp ^2 = hyp^2

(-13)^2 + opp ^2 = 15^2

169 + opp ^2 = 225

opp ^2 = 225 -169

opp ^2 =56

Taking the square root of each side

sqrt( opp^2) = sqrt(56)

opp = sqrt(4 * 14)

opp = 2 sqrt(14)

Since we are in the third quadrant opp is negative

opp = -2 sqrt(14)

We know

sin theta = opp / hyp

sin theta = -2 sqrt(14)/15

Given that :

\( \frak {\cos( \theta_{1} ) = - \frac{13}{15} }\)

To find :

\( \frak{ sin( \theta_{1} )}\)

We know that cos θ is base/hypotentuse

So, here the base is -13 and the hypotentuse is 15

As we got the base and hypotentuse, perpendicular needs to be found out

Now, applying Pythagoras Theorem

According to Pythagoras theorem we know that :

Let us assume perpendicular be x

Putting the values we get

By transposing we get

sin θ formula : Perpendicular/Hypotentuse

\( \star \: \: \underline{ \overline{ \boxed{ \frak{ sin (\theta_{1})} = \frac{-2 \sqrt{14} }{15} }}}\)

Hence, the answer is -2√14/15

Answer:

i think its the third one i could be wrong

Step-by-step explanation:

I think its the last one

Answer:

[A] Null Set

Explanation:

Subtract 13 From Both Sides

|z| + 13 - 13 = 11 - 13

Simplify

z = -2

Absolute Value Cannot Be Less Than 0, Therefore There Is So Solution

[A] Null Set

Answer:

null set

Step-by-step explanation:

Answer:

I watched cobra Kai and loved it. Still waiting on Netflix new season. Watched to where Miyagi-do and Eagle Fang members joined up. So wonderful that Demetrius and Hawk made up.

Step-by-step explanation:

Hope this helps.

Answer:

Yes i have watched the show.

Answer:

you can look up the videos for this question

Step-by-step explanation:

The common ration is = 5/3

A geometric progression, which is another name for a geometric sequence, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.

We need to add the same amount to 20, 50, and 100 to get a geometric sequence.

Call this amount 'x".

Then our terms will be   t1  =  20 +x,   t2  =  50 + x,   and   t3  =  100 + x

To be a geometric sequence, the terms  t1,  t2,  and  t3  must fit in this proportion:

   t3 / t2  =  t2 / t1

Substitutng:            (100 + x) / (50 + x)  =  (50 + x) / (20 + x)

Cross-multiplying:  (100 + x) · (20 + x)  =  (50 + x) · (50 + x)

Multiplying out:         2000 + 120x + x2  =  2500 + 100x + x2

Simplifying:                                    20x  =  500

                                                         x  =  25

So, the numbers are  45,  75,  and  125

The ratio:  125 / 75  =  5/3

and 75 / 45  =  5/3

The common ration is = 5/3

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The owners of the Shake Shack are likely to win the lawsuit against the owners of Betty's Burger Joint. The protection of trade secrets extends to situations where unauthorized acquisition or use occurs, even if the information was independently formulated.

The owners of the Shake Shack will likely win the lawsuit against the owners of Betty's Burger Joint. Here's why:

Trade secrets are a form of intellectual property protection that applies to confidential and proprietary information that provides a business with a competitive advantage. To successfully sue for infringement on a trade secret, the following elements generally need to be proven:

1. The information qualifies as a trade secret: The Shake Shack's recipe for cooking burgers is explicitly mentioned as a trade secret, implying that it meets the criteria for trade secret protection.

2. The information was kept secret: The Shake Shack has taken measures to keep the recipe confidential, which strengthens its claim to trade secret protection.

3. The information has economic value: The Shake Shack's recipe is considered a significant part of its business and contributes to its success, indicating that it holds economic value.

4. The recipe was misappropriated: Misappropriation occurs when someone acquires, uses, or discloses a trade secret without authorization. In this scenario, Betty's Burger Joint starting to use the same recipe would likely be seen as misappropriation.

5. Independent formulation is not a defense: The fact that Betty's Burger Joint formulated the recipe independently would not necessarily absolve them of liability. Trade secret protection extends to situations where the information was independently discovered or developed but is still acquired or used without authorization.

Based on these points, it is likely that the owners of the Shake Shack will win the lawsuit. The Shake Shack's trade secret recipe, which has been kept confidential for ten years, holds economic value and is misappropriated by Betty's Burger Joint. The independent formulation by Betty's Burger Joint does not provide a valid defense.

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To calculate the point estimate, we divide the number of individuals in the sample who smoked marijuana within the last year (328) by the total number of individuals in the sample (920).

Point Estimate = Number of individuals who smoked marijuana / Total number of individuals in the sample

Point Estimate = 328 / 920 ≈ 0.357

Therefore, the point estimate is approximately 0.357.

The correct answer is d. 0.357.

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The proof of average of \(ax_1+b, ax_2+b, ax_3+b,..., ax_n+b\)  is ap + b is given below.

What is average?

In plain English, an average is one number chosen to represent a list of numbers. It is typically calculated by dividing the total number of numbers in the list by the number of numbers in the list. As an illustration, the sum of the numbers 2, 3, 4, 7, and 9 is 5.

Given:

the average for \(x_1 , x_2 , x_3,...,x_n\)   is p.

We have to prove the average of  \(ax_1 +b, ax_2 +b, ax_3+b,...ax_n+b\)  is

ap + b.

Consider,

\(ax_1+b, ax_2+b, ax_3+b,..., ax_n+b\)

It can be written as,

\((ax_1, ax_2, ax_3,..., ax_n) + b\)

Take factor out 'a' from the first term,

\(a(x_1, x_2, x_3, ...,x_n) + b\)

Since, the average of \(x_1 , x_2 , x_3,...,x_n\) is p.

⇒ The average of above becomes,

ap + b

Hence, the average of \(ax_1+b, ax_2+b, ax_3+b,..., ax_n+b\)  is ap + b is proved.

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40ft hope I helped with your problem! Have a great day my comrade