cos X +1 / cos X=40, find the value of cos square X +1/ cos square X
​

Answer:

x   y

0   -2

4   -1

8   0

Step-by-step explanation:

y + 2 = 1/4 x

Subtract 2 from both sides.

y = 1/4 x - 2

Now let x equal each value of x in the table and solve for y.

x = 0

y = 1/4 * 0 - 2

y = -2

x = 4

y = 1/4 * 4 - 2

y = 1 - 2 = -1

x = 8

y = 1/4 * 8 - 2

y = 2 - 2

y = 0

Answer:

32 seconds

Step-by-step explanation:

Answer:

2.5 meters in a second.

Step-by-step explanation:

I'm assuming it's how many meters per second.

meters : seconds

  40     :      16

  10      :       4

  2.5    :     1

The value of x for the given figure will be equal to √212.

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Apply the Pythagorean theorem for the first triangle,

H² = x² - 6²

Apply the Pythagorean theorem for the second triangle,

B² = 27² - x²

Apply the Pythagorean theorem to the third triangle,

H² = 27² - x² - 21²

H² = -x² + 288

x² - 6² = -x² + 288

2x² = 424

x² = 212

x=√212

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In economics, a utility function is a mathematical function that assigns a numerical value to the satisfaction or utility that a consumer derives from consuming a particular combination of goods and services.

First, let's correct the utility function you provided. I believe it should be:
u(x1, x2) = x1^2 + x2^2

Now, let's find the marginal utility functions with respect to x1 and x2. The marginal utility is the derivative of the utility function with respect to the corresponding variable.

(a) Marginal utility function with respect to x1:
MU_x1 = d(u(x1, x2))/dx1 = 2x1

Marginal utility function with respect to x2:
MU_x2 = d(u(x1, x2))/dx2 = 2x2

(b) The significance of this utility function is that it exhibits diminishing marginal utility for both x1 and x2. As the consumption of x1 or x2 increases, the additional utility gained from consuming more units of x1 or x2 decreases.

This is evident in the marginal utility functions MU_x1 and MU_x2, where the derivatives are constant values (2x1 and 2x2), indicating a linear relationship.

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The probability distribution for X, the number of attempts at the claw picking up a stuffed animal, is the geometric distribution. The probability of the gripper picking up a stuffed toy on the 4th try, assuming independent trials, is approximately 0.0814 or 8.14%.

The probability distribution that X (the number of attempts at the claw picking up a stuffed animal) follows in this scenario is the geometric distribution.

In a geometric distribution, the probability of success remains constant from trial to trial, and we are interested in the number of trials needed until the first success occurs.

In this case, the probability of the grappling claw catching a stuffed animal on each attempt is 1/15. Therefore, the probability of a successful catch is 1/15, and the probability of failure (not picking up a stuffed toy) is 14/15.

To find the probability that the gripper picks up a stuffed toy on the 4th try, we can use the formula for the geometric distribution:

P(X = k) = (1-p)^(k-1) * p

where P(X = k) is the probability of X taking the value of k, p is the probability of success (1/15), and k is the number of attempts.

In this case, we want to find P(X = 4), which represents the probability of the gripper picking up a stuffed toy on the 4th try. Plugging the values into the formula:

P(X = 4) = (1 - 1/15)^(4-1) * (1/15)

P(X = 4) = (14/15)^3 * (1/15)

P(X = 4) ≈ 0.0814

Therefore, the probability that the gripper picks up a stuffed toy on the 4th try, assuming the trials are independent, is approximately 0.0814 or 8.14%.

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Answer:

See attached image

Step-by-step explanation:

Answer:

No, Andy is wrong

Step-by-step explanation:

percentage of Andy: 48 divided by 75 = 0.64 multiplied by 100 which comes out to be 64%

\( \frac{48}{75} \times 100 = 64\)

So he has scored less than Brandon

Answer:

y + 9 = -2(x - 10)

The correct answer is d.

Focus groups are not appropriate for generating statistics and making scientific generalizations.

The given statement is True.

Focus groups are qualitative research methods used to gather in-depth insights and subjective opinions from a small group of participants.

They typically involve a moderator guiding a discussion among a selected group of individuals to explore their perspectives, attitudes, and experiences on a specific topic.

The main objective of focus groups is to obtain rich, contextual information rather than to produce statistical data.

Focus groups usually consist of a small number of participants, typically ranging from 6 to 12 individuals, which makes it difficult to achieve statistical significance or representativeness.

The participants are not randomly selected, but rather purposively chosen based on specific criteria relevant to the research focus.

While focus groups offer valuable qualitative insights, they are not designed to generate statistically reliable data or make generalizations to a larger population.

The results obtained from focus groups are specific to the participants involved and their unique perspectives.

Therefore, it is not appropriate to use focus group findings as a basis for making scientific generalizations or drawing statistically significant conclusions about a broader population.

To make scientific generalizations and produce statistical data, researchers typically employ quantitative research methods, such as surveys or experiments, with larger and more diverse samples that allow for statistical analysis and inference.

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Given the equation to estimate the number of active users on the site

x represents the number of years after 2009

y represents the number of active users on the site

We will estimate the number of active users on the site in 2022

So, x = 2022 - 2009 = 13

substitute with ( x = 13 ) into the equation of y

so,

So, the answer will be 3.165 billion active users

Answer:

9.80$ if you divide 58.80 by 6 you get 9.80  

Step-by-step explanation:

None of the graphs with the given degree sequence (4,4,4,4,4,4,2) can be bipartite.

To understand why none of the graphs with the given degree sequence (4,4,4,4,4,4,2) are bipartite, let's first define the key terms:

1. Degree: The degree of a vertex in a graph is the number of edges incident to it.
2. Sequence: A degree sequence is a list of the degrees of each vertex in a graph.
3. Bipartite: A graph is bipartite if its vertices can be partitioned into two disjoint sets such that no two vertices within the same set are adjacent.

Now, let's analyze the given degree sequence (4,4,4,4,4,4,2):

1. There are 7 vertices in the graph.
2. The sum of the degrees is 4+4+4+4+4+4+2 = 26, which is even (a necessary condition for a graph to be bipartite).

For a graph to be bipartite, it must satisfy the Handshaking Lemma. The Handshaking Lemma states that the sum of the degrees of all vertices in a set should be equal to the sum of the degrees of all vertices in the other set. In other words, the sum of the degrees of all vertices in one set is equal to the number of edges crossing between the two sets.

Let's assume we can divide the vertices into two disjoint sets, A and B. Since each vertex with degree 4 is adjacent to 4 vertices, it must be connected to vertices in the opposite set. However, we have six vertices with degree 4, so the total sum of degrees of vertices in set A would be 6 * 4 = 24, while the vertex with degree 2 in set B would only account for 2. This contradicts the Handshaking Lemma, as 24 ≠ 2.

Hence, none of the graphs with the given degree sequence (4,4,4,4,4,4,2) can be bipartite.

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Answer:

49/12 or 4 1/12 or 4.083 (all the same answer in different forms)

Step-by-step explanation:

2m-14m+49=0

-12m+49=0

-12m+-49

m=49/12

Answer: m=7

Step-by-step-explanation:

m^2-14m+49=0

(m-7)^2=0

m-7=0

m=7      

If variation in a process results from common causes alone, the process is said to be in statistical control.

When talking about control charts, being in-control means your process is exhibiting common cause variation and is predictable.

Variation due to the inherent variability in a system of operation is called. special or assignable causes.

Industrial control systems are used by a discipline known as industrial process control in continuous manufacturing processes to produce at a level of consistency, economy, and safety that is impossible to achieve exclusively through manual human control. Process control systems make guarantee that industrial activities are carried out efficiently, dependably, and with as little fluctuation as is practical. They are installed in industrial settings to guarantee throughput, quality, yield, and energy efficiency. Ensure that work is done profitably and safely according to established procedures.

Therefore,

If variation in a process results from common causes alone, the process is said to be in statistical control.

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As per the given scenario, a cereal comes in three different package sizes.

The ratio of the cost of an 8-ounce box to a 16-ounce box of cereal can be calculated as follows :Ratio of 8-ounce box to 16-ounce box= 8 : 16Here, the ratio of 8 and 16 can be simplified by dividing both the terms by \(8.8 : 16 = 1 : 2\)

Therefore, the ratio of the cost of an 8-ounce box to a 16-ounce box of cereal is 1 : 2.

Note: The answer should be represented in the simplest form possible.

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Answer:

Probability of selecting a legislator who favors rising sales tax is 0.63

Step-by-step explanation:

Given

Percentage of legislators that are democrats = 0.35

Percentage of legislators that are Republicans = 0.70

All the democrats favor raise in sales tax , so their probability is 1

and only 40% of the Republicans favor raise in sales tax.

Probability of selecting a legislator who favors rising sales tax is

(0.35*1)+(0.70*0.40)

= 0.63

Answer:

m<CAG = 54

m<GAF = 56

m<FAE = 34

m<EAD = 36

m<DAB = 110

m<CAB = 70

Step-by-step explanation:

4x + m<FAE = 90

m<FAE + 36 = 5x

5x - m<FAE = 36

4x + m<FAE = 90

9x = 126

x = 14

5x + 4x + m<CAG = 180

9x + m<CAG = 180

9(14) + m<CAG = 180

m<CAG = 54

m<GAF = 4x

m<GAF = 4(14)

m<GAF = 56

4x + m<FAE = 90

4(14) + m<FAE = 90

m<FAE = 34

m<EAD = 36

m<DAB + 5x = 180

m<DAB + 5(14) = 180

m<DAB = 110

m<CAB = 5x

m<CAB = 5(14)

m<CAB = 70

Answer:

In Algebra we work with Variable, Symbols or Letters whose value is unknown to us.

Algebraic Expression

In the above expression (i.e. 5x – 3),

x is a variable, whose value is unknown to us which can take any value.

5 is known as the coefficient of x, as it is a constant value used with the variable term and is well defined.

3 is the constant value term which has a definite value.

The whole expression is known to be the Binomial term, as it has two unlikely terms.

Answer:

Step-by-step explanation:

a=98

b=42

c=12

There are 4.6×10⁵ nanometer present in "4.6×10⁻⁴ meter " .

The Unit nanometer (nm) is a very small unit of length measurement, used to measure the size of particles, proteins, and other small objects.

One meter is equivalent to 10⁹ nanometers, so converting from meters to nanometers is done by multiplying by 10⁹ .

To convert 4.6 × 10⁻⁴ meters to nanometers, we simply need to multiply the value by 10⁹ :

⇒ (4.6 × 10⁻⁴ meters)×(10⁹ nanometers/meter)

⇒ 46,000 nanometers = 4.6×10⁵ nanometers  .

Therefore, 4.6×10⁻⁴ meter is equivalent to 4.6×10⁵ nanometers .

The given question is incomplete , the complete question is

How many "nm" are there in 4.6×10⁻⁴ m ?

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Thus,  the partial derivatives are:
∂z/∂x = -2x / (18z)
∂z/∂y = -4y / (18z)

To find the partial derivatives of z with respect to x (∂z/∂x) and y (∂z/∂y), we need to use the given equation:
x^2 + 2y^2 + 9z^2 = 1

First, differentiate the equation with respect to x, while treating y and z as constants:
∂(x^2 + 2y^2 + 9z^2)/∂x = ∂(1)/∂x

2x + 0 + 18z(∂z/∂x) = 0
Now, solve for ∂z/∂x:
∂z/∂x = -2x / (18z)

Next, differentiate the equation with respect to y, while treating x and z as constants:
∂(x^2 + 2y^2 + 9z^2)/∂y = ∂(1)/∂y
0 + 4y + 18z(∂z/∂y) = 0

Now, solve for ∂z/∂y:
∂z/∂y = -4y / (18z)

So, the partial derivatives are:

∂z/∂x = -2x / (18z)
∂z/∂y = -4y / (18z)

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The most important statistic that is obtained through nasometry is the mean nasalance score. Nasometry is a measure of nasalance, which refers to the amount of sound energy that is transmitted through the nose during speech production.

This measure is obtained by comparing the acoustic energy of the sound produced by the mouth and the sound produced by the nose. The mean nasalance score provides information about the average amount of nasality in a person's speech, which can be useful in diagnosing and treating speech disorders such as cleft palate or velopharyngeal insufficiency. The other terms mentioned, such as fundamental frequency and range, are not directly related to nasometry or nasalance.

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Answer:

Step-by-step explanation:

54×54

Answer: did anyone find the answer???

Step-by-step explanation:

Answer:

-2 and positive 23

Step-by-step explanation: