Which convergence/divergence test is applicable to determine the convergence/divergence of the following series. n=51 ∑1/n

Answer:

- It lies inside an acute triangle

- It lies on a right triangle.

- It lies outside an obtuse triangle.

Answer:

x = -3

y = 1

z = -2

Step-by-step explanation:

-2x + 3y + z = 7

-4x - y -2z = 15

x + 2y +3z = -7

|-2 3 1|

|-4 -1 -2|

|1 2 3|

Determinant of this from online determinant calculator is;

D = 21

For Dx, we have;

|7 3 1|

|15 -1 -2|

|-7 2 3|

Determinant of this from online determinant calculator is;

Dx = -63

For Dy, we have;

|-2 7 1|

|-4 15 -2|

|1 -7 3|

Determinant of this from online determinant calculator is;

Dy = 21

For Dz, we have;

|-2 3 7|

|-4 -1 15|

|1 2 -7|

Determinant of this from online determinant calculator is;

Dz = -42

From creamers rule;

x = Dx/D

y = Dy/d

z = Dz/d

Thus;

x = -63/21

x = -3

y = 21/21

y = 1

z = -42/21

z = -2

Thus,

x = -3

y = 1

z = -2

To find where p is increasing, we must decide where p' = 1.7p(1 − p/5600) is positive. Assuming that p > 0 always, then we need (1 − p/5600) > 0. Therefore, p' is positive whenever p < 5600.

In other words, the function p is increasing whenever the value of p is less than 5600. This is because the derivative p' is positive in this range, meaning that the function p is increasing. As soon as p reaches 5600, the derivative p' becomes negative, meaning that the function p is decreasing.

So, the answer is that p is increasing whenever p < 5600.

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Step-by-step is this the answer you wanted thanks for correcting me

Answer:

Step-by-step explanation:

\(y = \frac{2}{3}x - 4\\\\when \ y = 0, \ x = \frac{4 \times 3}{2} = 6\\\\When \ x = 0 , \ y = - 4\)

The measures in the circle given in the image above are calculated as:

1. m<PSQ = 130°;   2. m<AQS = 30°; 3. m(QR) = 100°; 4. m(PS) = 110°; 5. (RS) = 70°.

In order to find the measures in the circle shown, recall that according to the inscribed angle theorem, the measure of intercepted arc is equal to the central angle, but is twice the measure of the inscribed angle.

1. m<PSQ = m<PAQ

Substitute:

m<PSQ = 130°

2. Find m<PBQ:

m<PBQ = 1/2(m(PQ) + m(RS)) [based on the angles of intersecting chords theorem]

Substitute:

m<PBQ = 1/2(130 + 2(35))

m<PBQ = 100°

m<AQS = 180 - [m<BAQ + m<PBQ]

Substitute:

m<AQS = 180 - [(180 - 130) + 100]

m<AQS = 30°

3. m(QR) = m<QAR

Substitute:

m(QR) = 100°

4. m(PS) = 180 - m(RS)

Substitute:

m(PS) = 180 - 2(35)

m(PS) = 110°

5. m(RS) = 2(35)

m(RS) = 70°

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79×36=2,844 is the multiplied amswer

We can say that 134 is greater than 133 but less than 134. This is an important concept to understand in mathematics, as it allows us to determine ranges and intervals for a given value or set of values.

This requires a bit of thinking and calculation, so I will provide a long answer to help you fully understand the process.

First, we need to determine the two whole numbers that 134 lies between. We know that 134 is not a whole number, so we need to round it up or down to the nearest whole number. In this case, 134 is closer to 133 than it is to 135, so we will round down to 133.

Next, we need to find the next consecutive whole number after 133. To do this, we simply add 1 to 133, which gives us 134. Therefore, the two consecutive whole numbers that 134 lies between are 133 and 134.


Step 1: Identify the whole number closest to 134, but less than it.
In this case, it's 133.

Step 2: Identify the whole number closest to 134, but greater than it.
In this case, it's 135.

Step 3: Confirm that the numbers identified are consecutive whole numbers.
In our case, 133 and 135 are consecutive whole numbers, as there are no whole numbers between them.

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Answer:

They are supplementary angles and thus the same angle measure

Step-by-step explanation:

Answer:

D

Step-by-step explanation

Answer:

10.6m

Step-by-step explanation:

height of cylinder:

h= V/pie r^2

h= 48/3.14x1.2^2

h=48/3.14x1.44

h=48/4.5216

h=10.61meter

round to the nearest tenth

= 10.6m

Please mark as brainliest

Answer:

I believe not

The coordinates after applying a dilation with a scale factor of 1/5 and centered at the origin to the line segment MN with endpoints M(-2, -4) and N(1, 5) are as follows:

   M: (-2, -4) → (-2/5, -4/5)

   N: (1, 5) → (1/5, 1)

So, the matching coordinates for the points are:

M (-2, -4) → (-2/5, -4/5)

N (1, 5) → (1/5, 1)

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Answer:

Since there are 57 varieties of juice and we can choose any number of each variety, we have 57 choices for each of the 6 cans we need to select. Therefore, the total number of ways to select 6 cans of juice is:

57 x 57 x 57 x 57 x 57 x 57 = 57^6

This can be calculated as:

57^6 = (3 x 19)^6 = 3^6 x 19^6 = 729 x 47,287,681

So there are 729 x 47,287,681 = 34,369,561,449 ways to select 6 cans of juice.

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The logic gates diagram representing the given expression Y = (A AND B)' NAND (C AND B')' is as follows:

    ----       ----       ----

A --|    |     |    |     |    |

   | AND|-----| NAND|-----|    |

B --|    |     |    |     | Y  |

    ----       ----       ----

     |

C --|          ----

   |         |    |

B' -| NOT   --| AND|

             |    |

              ----

The given expression involves the logical operators AND, NAND, and NOT. We can represent these operators using logic gates. The AND gate takes two inputs, A and B, and produces an output that is true (1) only when both inputs are true. The NAND gate is a combination of an AND gate followed by a NOT gate. It produces an output that is the complement of the AND gate output. The NOT gate takes a single input and produces the complement of that input.

In the diagram, the AND gate represents the expression (A AND B). The NOT gate represents the complement of that expression, which is (A AND B)'. The AND gate, followed by the NOT gate, represents (C AND B'). Finally, the NAND gate combines the outputs of the two sub-expressions, resulting in the output Y.

By connecting the appropriate inputs to the gates as shown in the diagram, we can implement the given logic expression using logic gates.

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Answer:

8/24 is correct. However, I would simplify 8/24 down to 1/3, since most teachers want you to do that.

Answer:

y=1/6x+2

Step-by-step explanation:

To start, you know what m is; it's just the slope, which you said was 1/6. So you can right away fill in the equation for a line somewhat to read:

y=1/6x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(12,4). When x of the line is 12, y of the line must be 4.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 1/6 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (12,4).

So, why not plug in for x the number 12 and for y the number 4? This will allow us to solve for b for the particular line that passes through the point you gave!.

(12,4). y=mx+b or 4=1/6 × 12+b, or solving for b: b=4-(1/6)(12). b=2.

It is true that the existence of two local maxima does not guarantee the presence of a local minimum. It is possible for a function to have multiple local maxima and no local minimum.

For example, consider the function f(x,y) = x^4 - 4x^2 + y^2. This function has two local maxima at (2,0) and (-2,0), but no local minimum. Therefore, the statement "if f(x,y) has two local maximal, then f must have a local minimum" is false. The presence or absence of local maxima and minima depends on the behavior of the function in the immediate vicinity of a point, and cannot be determined solely based on the number of local maxima. It is possible for a function to have an infinite number of local maxima and minima, or none at all. Therefore, it is important to carefully analyze the behavior of a function in order to determine the presence or absence of local extrema.

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Answer:

\(r^4 * r^3\\r^7\)

Answer:

997/100

Step-by-step explanation:

Answer:

there are a lot of fractions equal to 0.997

anything over 1 is equal to itself so 0.997/1

you can multiply 0.997 by whatever you want and then put the result over the number you multiplied it by

1.994/2

2.991/3

3.988/4

...

Answer:

I have exams too well cba's

Step-by-step explanation:

Answer:

Girl I have exams I don't like them

Step-by-step explanation:

Answer:

7(y-1)

Step-by-step explanation:

First find the difference ( subtraction) of y and 1

y-1

Then multiply by 7

7(y-1)

Let's define the following variables first.

A = number of tickets sold for adults

C = number of tickets sold for children

From the question, we can say that or form the following equations:

1. A + C = 790 tickets

2. $7A + $4C = $4, 390

The first equation can also be written as A = 790 - C. We can use this equation and replace "A" in the second equation.

From that, we can solve "C" by solving the equation formed above.

Therefore, 380 tickets for children were sold.

Since there are 790 tickets in total that are sold and 380 tickets for children were sold, we can say that 410 tickets for adult was sold.

Analysis of variance (ANOVA) is a statistical method of comparing the means of several populations.

ANOVA is used when there are three or more groups or populations that need to be compared. It determines whether there are any statistically significant differences among the means of these groups. The method analyzes the variation within each group as well as the variation between the groups to assess whether the differences observed are due to random chance or if there are true differences in the population means.

The primary goal of ANOVA is to test the null hypothesis that the population means are equal across all groups. If the null hypothesis is rejected, it indicates that at least one group significantly differs from the others.

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We have obtained the general solution for the given partial differential equation which is U(x, y) = e^(5(t + 0.765)^2.e^(-t-0.765)+tan(t+ln(2.5a) - 5(0.765)^2))

The partial differential equation is given by: Ux+Uy

=5(x^2.e^x+tany).U,

U=3at(0,0) and

U=2.5 at (0,π/2)

The given equation is linear and homogeneous, so it can be solved using the method of characteristics.

The characteristic equations are given bydx/dt = 1, dy/dt

= 1, dz/dt

= 5z(x^2.e^x+tany)

where z = U(x, y)

Let's solve these equations for t using the chain rule of differentiation

dx/dt = 1 → x

= t + c1dy/dt

= 1 → y

= t + c2dz/dt

= 5z(x^2.e^x+tany) → dz/dt

= 5z(t + c1)^2.e^(t+c1)+tan(t+c2)

Substituting z = e^kt, we get:

dz/dt = k.e^kt

= 5e^kt(t + c1)^2.e^(t+c1)+tan(t+c2)

Simplifying this expression, we get:

k = 5(t + c1)^2.e^(-t-c1)+tan(t+c2)

Substituting the initial condition U = 3at (0, 0),

we get:

z = U(0, 0)

= 3a

= e^(k.0)

= 1

Substituting x and y from the characteristic equations into z = e^kt, we get:

e^kt = z

= U(x, y)

= U(t+c1, t+c2) = U(x-y, y-x)

We can rewrite this equation in terms of U as:

U(x, y) = e^kt

= e^(5(t + c1)^2.e^(-t-c1)+tan(t+c2))

At t = 0, we have x = 0 and y = 0, so we get:

U(0, 0) = e^(5c1^2) = 3a

Using the initial condition U = 2.5 at (0, π/2), we get:

U(0, π/2) = e^(5c1^2) = 2.5a

Taking the ratio of the two equations, we get:

e^(5c1^2)/e^(5c1^2) = 3a/2.5a

⇒ 1 = 1.2c1^2

⇒ c1 = ±0.765

We can choose either value of c1.

Let's choose c1 = 0.765.

Substituting this into the equation for c2, we get:

2.5a = e^(5(0.765)^2+c2)

⇒ c2 = ln(2.5a) - 5(0.765)^2

Substituting c1 and c2 into the equation for U, we get:

U(x, y) = e^(5(t + 0.765)^2.e^(-t-0.765)+tan(t+ln(2.5a) - 5(0.765)^2))

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Answer:

The Answer is w - 982 = 922 because it whatever money he took from the 982 lead to 922

Step-by-step explanation:

Answer:

Step-by-step plotttt

Answer:

23.54

Step-by-step explanation:

Answer: 25

Step-by-step explanation: -5 x 25 + 13 = -112

Answer:

25

Step-by-step explanation:

To find the answer you do the equation backwards.

Since you added 13, subtract 13 from -112

-112 - 13 = -125

-125 / -5 = 25

Answer:

Monthly cost = $10 + $1.75x

Step-by-step explanation:

Given the following :

Membership cost = $10 per month

Discounted price for members = $1.75 per slice of pizza

If Autum purchased the membership, the monthly cost for x slices of pizza

Monthly cost of x slices will be :

Membership cost + (discounted price * number of slices)

Monthly cost = $10 + ($1.75 * x)

Monthly cost = $10 + $1.75x