The following series is not convergent. -2/5 + 4/6 + 6/7 +8/8 +10/9+ 12/11
Select one: O True O False

Answer:

x- (-2,0)

Y-(0,-6)

Step-by-step explanation:

set y = to zero and solve for x

then set x= 0 and solve for y

y=-3x-6

0=-3x-6

6=-3x

-2=x

points of x intercept (-2,0)

y=-3(0)-6

y=-6

points of the y intercept

(0,-6)

Step-by-step explanation:

\(standard \: form \: \rightarrow \: slope - intercept \: form.\)

Slope-intercept form:

\(y = mx + b\)

Key:

m = slope.

m = slope.b = y-intercept.

How to solve?

Simplify the standard form equation algebraically.

Our equation:

\(y - 5 = 3(x - 1)\)

Use the Distributive Property:

\(y - 5 = 3x - 3\)

Add 5 to both sides of the equation:

\(y = 3x + 2\)

Therefore,

\(y = 3x + 2 \: is \: your \: slope - intercept \: form \: equation.\)

The answer is 5.12 easy as pie

Answer:

(27xy +3)/5x^2 +6x

Step-by-step explanation:

((15xy^2 )/ x^2 + 5x + 6 ) × ((2x^2 + 7x + 3) / 5x^2y)

(3y ×(2x+ 7x + 3)) / 5x^2 +6x)

Answer:

Step-by-step explanation:

The equation of circles that have a diameter of 12 units and a center that lies on the y-axis is (x-0)² + (y-3)² = 6²

The standard form for finding the equation of a circle is expressed as;

(x-a)² + (y-b)²=r²

where;

(a, b) is the center of the circle

r is the radius of the circle

Given the following diameter = 12 units

radius = 12/2 = 6 units

If the centre lies on the y-axis, the center will be at (0, 3)

Substituting into the formula, we will have (x-0)² + (y-3)² = 6² equivalent to x²+ (y-3)² = 36

Hence, the equation of circles that have a diameter of 12 units and a center that lies on the y-axis is (x-0)² + (y-3)² = 6²

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According to the first and second four months weight gain, the baby gained 3.25 pounds in the last four months.

Firstly forming the equation according the weight gain in a year. So, as per the known fact there 12 months in a year.

Total weight gain in a year = weight gain in first four months + weight gain in second four months + weight gain in third four months

Now converting mixed fraction to fraction -

Weight in first four months = 4 \( \frac{1}{4} \)

Weight in first four months = 17/4

Weight in first four months = 3 \( \frac{1}{2} \)

Weight in first four months = 7/2

11 = 17/4 + 7/2 + weight gain in third four months

Weight gain in third four months = 11 - 17/4 - 7/2

Taking LCM, we get 4

Weight gain in third four months = (11×4 - 17 - 7×2)/4

Weight gain in third four months = (44 - 17 - 14)/4

Weight gain in third four months = 13/4

Weight gain in third four months = 3 \( \frac{1}{4} \)

Hence, the weight gain is 3 \( \frac{1}{4} \) pounds.

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The complete question is -

A baby gains 11 pounds in its first year of life. The baby gained 4 1/4 pounds during the first four months and 3 1/2 pounds in its second four months. How much did the baby gain in the last four months?

Then, our thumb will point out of the paper in the upward direction. Therefore, the direction of the cross product 3 × u is out of the paper.

The cross product is a vector operation. The direction of the cross product can be determined by the right-hand rule. The direction of the cross product (into the paper or out of the paper) 3 × u € ra 3 is out of the paper.

What is the cross product?The cross product of two vectors is a vector that is perpendicular to both the vectors. It is denoted by the symbol ×. If a and b are two vectors, then the cross product of a and b is given by a × b and it is defined as:|i  j  k|a₁  a₂  a₃ b₁  b₂  b₃

The direction of the cross product is perpendicular to both the vectors. We can determine the direction of the cross product by using the right-hand rule.

The right-hand rule states that if we curl our fingers of the right hand in the direction of the first vector a and then curl our fingers towards the second vector b, then our thumb will point in the direction of the cross product vector c. It is also given by the right-hand screw rule, which is used to find the direction of the rotation axis of a screw. It is given by:Turn the screw in the direction of the first vector a until it reaches the second vector b. The direction of the screw motion is the direction of the cross product. If a × b is positive, then the direction is out of the paper and if a × b is negative, then the direction is into the paper.

The given cross product is 3 × u € ra 3. The direction of the cross product can be found by using the right-hand rule. Let's assume that the direction of vector 3 is towards us and the direction of vector u is towards the right side of the paper. Then, we can curl our fingers of the right hand in the direction of vector 3 towards us and then curl our fingers towards vector u to the right side of the paper.

Then, our thumb will point out of the paper in the upward direction. Therefore, the direction of the cross product 3 × u is out of the paper.

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Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

6+9 is equal to fifteen. I don't really know how to explain it, its just adding 6 to 9.

Answer:

804

Step-by-step explanation:

dozen means 12

67 times 12 is 804

In this problem, we need to use multiplication to find the answer

Since we know that the bakery sold 67 dozen cookies on Monday and a dozen means 12, we need to multiply 67 and 12. We get:

67 × 12 = 804

Hope this helps :)

Answer:

hey can you help me with this? it's my deadline today

The reasonable solutions for this situation is (1, 3.5) and (2, 2)

A graph is a visual representation of data or information, typically used to display the relationship between two or more variables. Graphs are used to make it easier to understand and analyze data, and can be used to convey information in a clear and concise manner.

Audrey has x pounds of red grapes and y pounds of green grapes.

She has less than 5 pounds of grapes in all, hence:

x + y < 5

Also, x ≥ 0, y ≥ 0

a) The option (–1, 2) is wrong because x = -1 < 0

b) The option (1, 3.5) is correct because 1 + 3.5 = 4.5 < 5

c) The option (2, 2) is correct because 2 + 2 = 4 < 5

d) The option (4.5, 0.5) is wrong because 4.5 + 0.5 = 5 which is not less than 6.

e) The option (5, 0) is wrong because 5 + 0 is not less than 5

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The sample size increases, the probability of obtaining a sample mean less than 3500 decreases. The mean of the sample mean distribution is equal to the population mean, which is 7500.

a) The probability that, on a single test, x is less than 3500 can be calculated using the standard normal distribution. We need to standardize the value using the z-score formula: z = (x - μ) / σ. Substituting the given values, we get z = (3500 - 7500) / 1750 ≈ -2.286.

Using a standard normal distribution table or a calculator, we can find the probability associated with a z-score of -2.286. The probability is approximately 0.0116, or 1.16%. Therefore, there is a 1.16% chance that a single test result will be less than 3500, indicating leukopenia.

(b) When the doctor uses the average x (sample mean) for two tests taken about a week apart, the probability distribution of x (sample mean) follows a normal distribution. The mean of the sample mean distribution is equal to the population mean, which is 7500. The standard deviation of the sample mean distribution is equal to the population standard deviation divided by the square root of the sample size. In this case, the sample size is 2.

The probability distribution of x (sample mean) < 3500 can be calculated by standardizing the value using the z-score formula and then finding the corresponding probability from the standard normal distribution table or a calculator. With two tests, the probability distribution will be narrower compared to a single test. The exact probability depends on the specific value of the sample mean and the standard deviation of the sample mean distribution.

(c) When considering three tests taken a week apart, the process is similar to part (b). The mean of the sample mean distribution remains the same at 7500, but the standard deviation of the sample mean distribution is now divided by the square root of 3, since the sample size is 3. As the sample size increases, the standard deviation of the sample mean distribution decreases, resulting in a narrower distribution.

The probability distribution of x (sample mean) < 3500 can be calculated using the z-score formula and finding the corresponding probability from the standard normal distribution table or a calculator. With three tests, the probability distribution will be even narrower compared to two tests.

In summary, as the sample size increases, the probability of obtaining a sample mean less than 3500 decreases. With more tests, we can have greater confidence in the accuracy of the sample mean and draw stronger conclusions about the individual's condition. If a person had a sample mean less than 3500 based on three tests, it would indicate a higher level of certainty about the presence of leukopenia, potentially leading to further investigation or treatment options.

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The answer is true. The goal of a hypothesis test is indeed to demonstrate that the patterns observed in the sample data are not simply due to chance or sampling error, but rather represent real patterns in the population.

Hypothesis testing is a statistical tool used to determine whether a hypothesis about a population parameter is supported by sample data. The hypothesis being tested is called the null hypothesis, which assumes that there is no significant difference or relationship between variables in the population. The alternative hypothesis, on the other hand, suggests that there is a significant difference or relationship.

Through hypothesis testing, we can determine whether the observed differences or relationships in the sample are likely to occur by chance or are actually reflective of the true population. If the p-value (the probability of obtaining a result as extreme as the one observed, assuming the null hypothesis is true) is less than a predetermined level of significance, typically 0.05, we reject the null hypothesis and conclude that the alternative hypothesis is supported by the data.

In summary, the goal of a hypothesis test is to provide evidence that the observed patterns in the sample data are reflective of the true population and not just due to chance or sampling error.

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Answer is  C. product rule

The rule that must be used to find out the number of ways that two representatives can be picked, with one being a mathematics major and the other being a computer science major, is the product rule.

The product rule is used to find the derivative of a product of functions while the quotient rule is for finding the derivative of a quotient of functions.

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Answer:

Step-by-step explanation:

the given equation

cos(x+y)+cos(x-y)=2cos(x)*cos(y)

[cos(x)cos(y)-sin(x)sin(y)]+cos(x-y)=2cos(x)*cos(y) ..

[cos(x)cos(y)-sin(x)sin(y)]+[cos(x)cos(y)+sin(x)sin(y)]=2cos(x)*cos(y)

[cos(x)cos(y)+cos(x)cos(y)]]+[sin(x)sin(y)-sin(x)sin(y)]=2cos(x)*cos(y) ..

2cos(x)*cos(y)=2cos(x)*cos(y)

L.H.S=R.H.S

Hence proved

Answer:

37 x 4 = 148

148 cards

Step-by-step explanation:

Would really appreciate it if you could give me brainliest. Have a good day! :)

Answer:

37×4 = 148

Step-by-step explanation:

so your answer is 148

Two rays with a common endpoint form an angle. An angle is defined as a geometric figure formed by two rays that share a common endpoint. In other words, an angle is formed when two rays emanating from a common point, and this common point is known as the vertex.

The rays are the sides of the angle, and the angle is measured in degrees. Angles have different measures, ranging from 0 degrees to 360 degrees. The two rays that make up an angle are also called the sides or arms of the angle. The angle is measured in degrees, and the size of the angle depends on the distance between the two sides of the angle that meet at the vertex.

In geometry, an angle can be named in different ways, depending on the context in which it is being used. Angles are essential in mathematics, physics, and other scientific fields, where they are used to measure the rotation of an object, determine the direction of an object, and in other applications involving rays and lines. Two rays with a common endpoint form an angle.

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Answer:

>

Step-by-step explanation:

\(3^{-1} = \frac{1}{3}\)

\(\frac{1}{3} > \frac{1}{4}\)

The probability that a flight takes more than 140 minutes is approximately 0.333. (Option d: P(x > 140) = 0.333)

To find the probability that a flight takes more than 140 minutes, we need to calculate the proportion of the total distribution that lies beyond 140 minutes.

Given that the time to fly is uniformly distributed between 120 and 150 minutes, we can determine the length of the entire distribution as:

Length of distribution = maximum time - minimum time = 150 - 120 = 30 minutes.

The proportion of the distribution that lies beyond 140 minutes can be calculated as:

Proportion = (Length of distribution - Length up to 140 minutes) / Length of distribution

          = (30 - (140 - 120)) / 30

          = (30 - 20) / 30

          = 10 / 30

          = 1/3

          ≈ 0.333

Therefore, the probability that a flight takes more than 140 minutes is approximately 0.333.

Hence, the correct option is:

d) P(x > 140) = 0.333

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Complete Question:

The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 minutes.

What is the probability that a flight takes time more than 140 minutes? *

a-P(x> 140)=0.14

b-P(x> 140)=1.4

c-P(x> 140)=0

d-P(x> 140) = 0.333

Answer:

shortest side = 42 inches

Step-by-step explanation:

9x + 7x + 3x = 266

x = 14

3x = 42

The cone’s radius r in terms of x is x + 7

From the question, we have the following parameters that can be used in our computation:

Volume, V = 3πx^2 + 42πx + 147π

Height, h = 9

The volume of a cone is

V = 1/3πr^2h

Substitute the known values in the above equation, so, we have the following representation

1/3πr^2 * 9 = 3πx^2 + 42πx + 147π

So, we have

3πr^2 = 3πx^2 + 42πx + 147π

Divide by 3π

r^2 = x^2 + 14x + 49

So, we have

r = √(x² + 14x + 49)

Evaluate

r = x + 7

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You can make 2l of 1x drink by combining 1 liter of water, a dosage of 5g sugar, and 7.5g salt.

You have 1 litre of concentrated sports drink in your kitchen. How would you make 2 litres at one quarter of the price?

If you had bought a concentrated sports drink at 14x, you would be able to make 2l of 1x drink for your basketball team. This is because when one bottle is diluted it would become 13 bottles (1 concentrate + 12 dilutions). So, we have represented the process as follows:

If you buy 2l of basketball team drink concentrate and measure 3l of water or electrolyte solutions, you will create 4 bottles. You can fill them about 1/4 full with the base solution for their desired tastes and flavors such as lemonade and unsweetened tea etc.

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The function f(x) = x² - 1/x + 1, with domain [0, ∞), does not have an absolute maximum on its domain, but this does not contradict the extreme value theorem.

The extreme value theorem states that if a real-valued function f is continuous on a closed interval [a, b], then f must have both an absolute maximum and an absolute minimum on that interval.

However, the theorem does not apply to functions that have an open interval as their domain, such as f(x) = x² - 1/x + 1 with a domain of [0, ∞).

In this case, f(x) approaches infinity as x approaches 0, but it does not have a maximum value within the given domain. The lack of an absolute maximum for f(x) on [0, ∞) is consistent with the behavior of the function, and it does not violate the extreme value theorem since the domain is not a closed interval.

Therefore, the function f(x) = x² - 1/x + 1, defined on [0, ∞), lacks an absolute maximum, but this does not violate the extreme value theorem.

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Out of the given figures, namely, a square, triangle, a trapezoid, a regular pentagon, and a rhombus, a test would require selecting a figure among these figures.

However, we can understand the nature of each of these figures, their characteristics, properties, and formulas related to them, and determine how to select a figure for the test.The square has four sides and four right angles, with all sides of equal length.

Its formula for area is A = s²,

where s is the length of the sides.

The triangle is a polygon with three sides, with its area calculated as A = (1/2)bh,

where b is the base and h is the height of the triangle.A trapezoid is a quadrilateral with only one pair of parallel sides. Its formula for area is A = [(b1+b2)/2]h,

where b1 and b2 are the lengths of the parallel sides, and h is the height of the trapezoid.

A regular pentagon is a polygon with five sides, with all sides of equal length. Its area formula is A = (1/4)s²√(25+10√5), where s is the length of the sides.

The rhombus has four equal sides, with opposite angles being equal.

Its area formula is A = (1/2) d1d2, where d1 and d2 are the lengths of the diagonals.

Depending on the nature and level of the test, the selection of any of the figures can vary. For example, if the test is related to the calculation of areas, the selection of square, triangle, trapezoid, and rhombus would be more appropriate, while the selection of a regular pentagon can be suitable for a more advanced test.

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By taking a factor out of the square root of 7\(x^2\), for x ≥ 0​, we rewrite the expression as x√7, where x is greater than or equal to 0.

We need to take a factor out of the square root of 7\(x^2\), given that x is greater than or equal to 0.

To take a factor out of the square root, we need to identify any perfect square factors within the expression.

In this case, we have 7\(x^2\) under the square root.

We can rewrite 7\(x^2\) as (\(x^2\))(7).

Now, we can observe that \(x^2\) is a perfect square factor.

Taking the square root of \(x^2\) gives us x.

Therefore, we can rewrite the expression as x√7, where x is greater than or equal to 0.

Taking a factor out of the square root simplifies the expression by separating the perfect square factor from the remaining terms inside the square root.

This allows us to express the original expression in a simplified form that is easier to work with and understand.

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Answer:

Slope intercept formula is Y=MX +B

Step-by-step explanation:

so all you need to do is put the equation in that Form

THE SLOPE WOULD BE -8