If tanθ = 1/3, then secθ = _____.

To find the rate at which average cost is changing when 176 belts have been produced, we need to first find the rate at which the average cost is changing when x belts have been produced.

We know that C(x) = 720 + 37x - 0.068x²We can find the average cost by dividing the total cost by the number of units produced. Average cost = Total cost / Number of units produced Let's consider that x belts have been produced. Then the total cost of producing these x belts is C(x).

Thus, the average cost per belt can be calculated as follows: Average cost = C(x) / x The rate at which the average cost is changing when x belts have been produced is given by the derivative of the average cost with respect to the number of belts produced (x).So, we need to differentiate the equation for average cost with respect to x to find the rate at which the average cost is changing.

Thus, the derivative is given by average cost'(x) = (C(x) / x)'Now, the derivative of the cost function C(x) is given as follows:

C'(x) = 37 - 0.136xaverage cost'(x) = (C(x) / x)'= (720 + 37x - 0.068x²) / x '= [37x² - 2x(720 + 37x) - x²(0.068)] / x²= (37x - 1440 - 0.068x²) / x²Putting x = 176, we get: average cost'(176) = (37(176) - 1440 - 0.068(176²)) / 176²= 13.064

Therefore, when 176 belts have been produced, the average cost is changing at 13.064 dollars per belt for each additional belt.

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Answer: False

Step-by-step explanation: It is false because the y-coordinate is the range.

Answer:

B

Step-by-step explanation:

the change in y and x are the same between the three points.

Step-by-step explanation:

42086

14

12

10+

4

2

422

+ 9

2 4 6

8 10 12 14 16 x

42595

Answer:

15

Step-by-step explanation:

15 is greater than -15 because if having 15 objects is more than being in loan of 15 objects xD.

Hope this helps plz mark brainliest :D

Based on the given information, we can conclude that there is a statistically significant but weak positive relationship between variables A and B.

The correlation coefficient of .12 indicates a positive relationship, but the fact that it is closer to 0 than 1 suggests that the relationship is not very strong.

The significance level of p < .01 means that there is less than a 1% chance of the observed correlation occurring by chance alone.

Therefore, we can be confident that there is some true relationship between A and B, but it is important to note that correlation does not necessarily imply causation.

In other words, we cannot conclude that variable A causes variable B based on this correlation alone.

It is possible that there is a third variable or set of variables that is influencing both A and B.

Further research and analysis would be needed to establish causation.

Overall, we can conclude that there is a statistically significant but weak positive relationship between A and B, but we cannot determine causation based on this information alone.

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There are 70 different types of pizzas could be ordered

A permutation is an act of arranging the objects or numbers in order.

Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter

Given,

Number of options on crust=2

Number of options on topping= 7

Number of options on size= 5

Therefore for each type of crust there are 7 different topping, for each toppings there are 5 different sizes

The total number ways of ordering pizza=2×7×5=70

Hence, there are 70 different types of pizzas could be ordered

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Answer:

B

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

If a radius of a circle and a tangent to a circle intersect at the point of tangency, then the radius and the tangent are perpendicular.

Answer: B.

Quality is a complex and multifaceted concept that can be difficult to define due to Subjectivity, Multi-dimensional and Context-dependent.

Subjectivity: Quality is subjective and can vary from person to person depending on their personal preferences, experiences, and expectations.

What may be considered as a high-quality product or service by one person may not be the same for another. This subjectivity makes it difficult to establish a universal definition of quality that applies to everyone.

Multi-dimensional: Quality is multi-dimensional, meaning that it involves multiple aspects such as performance, reliability, durability, safety, and aesthetics. These different dimensions of quality can be difficult to define and measure, as they often require different criteria and methods of evaluation.

Context-dependent: Quality is context-dependent and can vary depending on the specific situation, industry, or cultural norms. For example, the quality of healthcare services may be defined differently in different countries or cultures.

This context-dependency makes it challenging to create a single definition of quality that is applicable across different situations and contexts.

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Complete question is:

What are three reason why quality difficult to define.

The probability that a randomly chosen card from a standard deck of playing cards will be a red card or an ace is 7/13

The term probability in statistics is defined as possibility of getting the particular event.

Here we have given that a standard deck of playing cards, there are 52 total cards

Here we know that  half of the cards are red and half of the cards are black.

Which means that there are 26 red cards and 26 black cards.

In the given deck there are 4 ace which means 1 ace in each 13 cards.

Therefore, the possibility of getting red card or ace card is

=> 26 + 2

Here we take two because the red card contains 2 ace in it.

=> 28.

Therefore, the probability is '28 out of 52', so we make this fraction as

=> 28/52

When we reduce it then we get the probability as

=> 7/13

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Answer: 9.37500 pounds

Step-by-step explanation:

Area of parallelogram = base × height

= (5+3) x 10

= 8 x 10

= 80 ft²

The equation of the required perpendicular line is x + 3y = 24.

What is the slope relation for two perpendicular lines?
For two perpendicular lines on a plane, the product of their slopes always equals (-1).
What is the equation of line with slope 'm' and passing through the point (x₁, y₁)?
The standard equation of the line with slope 'm' and passing through the point (x₁, y₁) is y - y₁ = m(x - x₁).

Given, the required line is perpendicular to line given by y = 3x + 5 with slope, m₁ as 3, on analysis with standard equation of line; also the line passes through the point (9, 5) i.e. (x₁, y₁).
Let the slope of the required line be = m₂
As per statement established in the literature above, we have:
Slope of two perpendicular lines = -1
∴m₁ × m₂ = -1 ⇒ 3m₂ = -1 ⇒ m₂ = (-1)/3
Again, equation of the required perpendicular line is:
y - 5 = [(-1)/3][x - 9] ⇒ 3y - 15 = 9 - x ⇒ x + 3y = 24
Thus, the equation of the required perpendicular line is x + 3y = 24.

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she has 296 quarts of soup left

Answer:

296 quarts of soup are left

Step-by-step explanation:

634 - 338 = 296

That's a lot of soup.

To find the elasticity of demand at a price of $68, we need to use the formula: Elasticity of Demand = (% Change in Quantity Demanded / % Change in Price).

We can start by calculating the current quantity demanded at a price of $68, using the given demand function: d(68) = 100 * 68 = 6,800, Now, let's consider a small increase in price from $68 to $69. The percentage change in price is:
% Change in Price = ((69 - 68) / 68) * 100% = 1.47%
Using the demand function, we can calculate the new quantity demanded at the price of $69:
d(69) = 100 * 69 = 6,900

The percentage change in quantity demanded is: % Change in Quantity Demanded = ((6,900 - 6,800) / 6,800) * 100% = 1.47%, Now, we can plug in these values into the elasticity of demand formula: Elasticity of Demand = (1.47% / 1.47%) = 1
Therefore, the elasticity of demand at a price of $68 is equal to 1. This means that the demand for this product is unit elastic at this price point, indicating that a small change in price will result in an equal percentage change in quantity demanded.

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The sum of the m integers between ai and aj is si - s(i-1) + s(i-1) - s(j-1) = si - sj, which is divisible by m since si, sj have same remainder. So, there exists a consecutive subsequence of the original sequence with a sum divisible by m, namely the integers between ai and aj.

We can prove this using the Pigeonhole Principle.

Consider the sequence of m integers a1, a2, ..., am. Let's compute the prefix sums of this sequence, which we'll denote by s0, s1, s2, ..., sm. That is, we define si = a1 + a2 + ... + ai-1 for i = 1, 2, ..., m, and s0 = 0.

Note that there are m + 1 prefix sums, but only m possible remainders when we divide a sum by m (namely, 0, 1, 2, ..., m-1).

Therefore, by the Pigeonhole Principle, at least two of the prefix sums must have the same remainder when divided by m. Let's say these are si and sj, where i < j.

Then, the sum of the m integers between ai and aj (inclusive) is si - s(i-1) + s(i-1) - s(j-1) = si - sj, which is divisible by m since si and sj have the same remainder when divided by m.

Therefore, there exists a consecutive subsequence of the original sequence with a sum divisible by m, namely the integers between ai and aj.

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Answer:

50 i think?

Step-by-step explanation:

30 divided by 12 is 2.5, 2.5 x 20 equals 50

At 8000 feet MSL in the teardrop could a descent to 3,200 feet commence.

What is aircraft?

A vehicle that can fly is known as an aircraft. It does so by getting help from the air. It does this by either employing static lift, the dynamic lift of an airfoil or, in a few rare instances, the downward push from jet engines. Aerial vehicles include, but are not limited to, planes, helicopters, airships (including blimps), gliders, paramotors, and hot air balloons.

As given, your aircraft was cleared for the ils rwy 18 at Lincoln municipal and crossed the Lincoln Vortac at 5,000 feet MSL.

Therefore, at 8000 feet MSL in the teardrop could a descent to 3,200 feet commence.

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Answer:

Option C is the Correct Answer

The number of stars in 100 billion galaxies in scientific notation is

3 x \(10^{22}\).

Scientific Notation is the expression of a number in the form a x \(10^{b}\). where a is an integer such that 1 ≤ |a| < 10 and b is an integer too.

We have,

Number of stars in  our galaxy = 3 x \(10^{11}\)

Number of galaxies in the observable universe = 100 billion.

1 billion = 1,000,000,000 = \(10^{9}\)

Number of stars in 100 billion galaxies:

= 3 x \(10^{11}\) x 100 x  \(10^{9}\)

= 3 x \(10^{11 + 2 + 9}\)

= 3 x \(10^{22}\)

Thus the number of stars in 100 billion galaxies in scientific notation is

3 x \(10^{22}\).

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Answer:

Option 1 -  7⁵

Step-by-step explanation:

When dividing numbers that have the same base number (7), you subtract bottom exponent from the top exponent.  So exponent  8 - 3 = 5

You keep the same base number and use the resultant exponent.

7⁵

Answer:

5x

Step-by-step explanation:

4x plus 1x equals 5x.

Hope this helped, have a nice day! :)

Answer:

5x

Step-by-step explanation:

4x+1x

=x+x+x+x+x

A: he percent of respondents who do not like hamburgers and burritos both = 16.09 %

B: Marginal relative frequency of all customers that like hamburgers= 0.65

C: Those who like Hamburgers but not burritos.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

                         Like Hamburgers ↓  Does Not Like Hamburgers↓    Total↓

Likes burritos →                 39                           38                                   77

Does not like burritos →    95                           33                                 128

Total →                                134                           71                                 205

So, according to the above table, a total of 77 customers like burritos, out of which 38 do not like hamburgers, hence, the remaining 77-38= 39 like Hamburgers.

A total of 128 customers do not like burritos, out of which 95 do like hamburgers, hence, the remaining  128 - 95 = 33 do not like Hamburgers.

A total of 134 customers like hamburgers, but 71 do not like it, hence, the total respondents are 205.

Part A: The percent of respondents who do not like hamburgers and burritos both

There are 33 such respondents.  

Hence, percentage = (033/205) *100 = 16.09 %

Part B: Marginal relative frequency of all customers that like hamburgers

It will be the ratio of the sum of the customers that like hamburgers to the total number of respondents

Hence, ratio  134/205 = 0.65

Part C: The data point that has the strongest association of its two factors.

For this, we need to find the ratio of all the four data with the total.

Those who like Hamburgers and burritos = 39/134 = 0.29

Those who like Hamburgers but not burritos = 95/134 = 0.71

Those who like burritos but not Hamburgers = 38/71 = 0.53

Those who do not like burritos or Hamburgers = 33/71 = 0.47

So, the answer is those who like Hamburgers but not burritos.

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Answer:

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

The answer is 1

Step-by-step explanation:

Using the rise over run strategy, you can get this answer by...

1. Look at the line and graph 2 points. ( 1 , 1 ) & ( 2 , 2 ).

2. Do the rise over run thing. ( how am I going to get from 1 point to the other.)

You get to it by rising 1 and running 1. The pattern is self explanatory.

3. Divide rise over run and the quotient is your answer

1 divided by 1 is 1.

Hope this Helps and Pls mark Brainliest.

The characteristics of a linear function that has a slope of 0 is a horizontal line that passes through the y-axis at y= b

A linear equation is given as:

y = mx + b

Where m represents the slope of the linear equation.

When the value of  is 0

i.e. m = 0, the equation becomes

y = 0 *x + b

Evaluate

y= b

The above equation is a horizontal line that passes through the y-axis at y= b

Hence, the characteristics of a linear function that has a slope of 0 is a horizontal line that passes through the y-axis at y= b

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2.492 is the critical t-value used for calculating a 98% confidence interval with 24 degrees of freedom.

The number of degrees of freedom is equal to the number of sample data that can change, and this number is used to determine the sample data mean. For instance, there are five degrees of freedom in the example presented below. This implies that each of the five data points is equally free to change.

It should be noted that a t-table must be used to look up the value in the t-distribution in order to determine the crucial t-value for a 98% confidence interval with 24 degrees of freedom.

When the sample size is small and the population standard deviation is unknown, the t-distribution is a probability distribution that can be used to calculate population parameters.

The critical t-value for a two-tailed test is the value that the test statistic exceeds with a probability of 0.02 in each tail of the distribution. The essential t-value in this case is 2.492. The right answer is C.

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Answer:

The probability of them picking granola is 1/3

The probability of them choosing juice is 1/4

Step-by-step explanation:

Hope it helps :)

The names for the radius of the circle with center F are FA, FC, EF, BF, DF

The radius is defined as a line segment joining the center of the circle or a sphere to its circumference or boundary.

Given that, circle with center at point F. Points A, B, C, D and E are on the circle. Line segments FA, FC, AFC, EF, BF, EFB, DF and AB are drawn.

Since, the radius is the distance from center to a point on the circumference,

Therefore, FA, FC, EF, BF, DF are showing the distance from center to a point on the circumference,

Hence, the names for the radius of the circle with center F are FA, FC, EF, BF, DF

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The Trapezoidal Rule estimate is 0.8632, the Left-hand estimate is 0.78, the Midpoint Rule estimate is 0.9540, and the Right-hand estimate is 0.8675. The true value of the integral lies between 0.8632 and 0.9540.

Since the Trapezoidal Rule estimate lies between the Left-hand estimate and the Right-hand estimate, and the Midpoint Rule estimate is greater than all of them, we can conclude that:

Trapezoidal Rule estimate = 0.8632

Left-hand estimate = 0.78

Midpoint Rule estimate = 0.9540

Right-hand estimate = 0.8675

To determine between which two approximations the true value of integral lies, we can use the following inequality:

Trapezoidal Rule Estimate < True Value of Integral < Midpoint Rule Estimate

Substituting the given values, we get:

0.8632 < True Value of Integral < 0.9540

Therefore, we can conclude that the true value of the integral lies between the Trapezoidal Rule estimate and the Midpoint Rule estimate, or between 0.8632 and 0.9540.

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