Which of the series in exercises 17–56 converge, and which diverge? use any method, and give reasons for your answers

Answer:

a. 20

b. 25

Step-by-step explanation:

Let find the side lengths of the rectangle,

We can complete the square.

\( {x}^{2} + 4x - 21\)

\( {x}^{2} + 4x = 21\)

\( {x}^{2} + 4x + 4 = 25\)

\((x + 2) {}^{2} = 25\)

\((x + 2) = 5\)

\(x = - 7\)

or

\((x + 7)\)

\(x = 3\)

or

\((x - 3)\)

This means the perimeter of is

2 times -7 equal 14

2 times 3 equal 6

14+6=20.

The side lengths of the square is equal so each side length will measure 5.

\( {5}^{2} = 25\)

Answer:

Im pretty sure it's F

Step-by-step explanation:

Sorry if im wrong

Answer:

-1,1 +  2,4 it think

Given :

stilt length- 15 feet

number of braces- 5

length of base using Pythagorean's theorem:

base length= √17²-15²

                   =√289-225

                   =√64 =8

length of base we got = 8

length of house= base length × number of braces

                          = 8×5 = 40 feet

length of house= 40 feet

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Answer:

The ship captain needs to turn through an angle of approximately 134.47 degrees to head straight for island B.

Step-by-step explanation:

We can start by drawing a diagram of the situation:

Here, A and B are the two islands, and C is the point where the ship captain realizes he is off course. We want to find the angle ACB, which is the angle the ship captain needs to turn through to head straight for island B.

To find this angle, we can use the law of cosines, which states that:

c^2 = a^2 + b^2 - 2ab cos(C)

where c is the length of the side opposite angle C, and a and b are the lengths of the other two sides.

In our case, we know that a = 250, b = 160, and c = 150. So we can plug these values into the formula and solve for cos(C):

150^2 = 250^2 + 160^2 - 2250160*cos(C)

Simplifying this equation, we get:

cos(C) = (250^2 + 160^2 - 150^2) / (2250160) = 0.6875

To find the angle C, we can take the inverse cosine (also known as the arccosine) of this value:

C = arccos(0.6875) = 45.53 degrees (rounded to two decimal places)

Finally, to find the angle ACB, we can subtract this angle from 180 degrees:

ACB = 180 - C = 134.47 degrees (rounded to two decimal places)

Therefore, the ship captain needs to turn through an angle of approximately 134.47 degrees to head straight for island B.

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4 times as many = 4 x 3 = 12

2 fewer than that = 12-2 = 10

She has 10 fish

Answer:

10????

Step-by-step explanation:

The difference quotient for the given function is 9 -2/h.

The difference quotient for the given function can be calculated as:

[f(x+h) - f(x)]/h

= [(3(x+h)² - 2(x+h) + 5) - (3x² - 2x + 5)]/h

= (3x² + 6xh + 3h² - 2x - 2h + 5 - 3x² + 2x - 5)/h

= (6xh + 3h² - 2h)/h

= (6x + 3h -2)/h

Simplifying the expression further, we get:

(6x + 3h -2)/h = 6 + 3h/h -2/h

= 6 + 3 -2/h

= 9-2/h

Therefore, the difference quotient for the given function is 9 -2/h.

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"Your question is incomplete, probably the complete question/missing part is:"

Find the difference quotient [f(x+h)-f(x)]/h, where h≠0, for the function below.

f(x)=3x² -2x+5. Simplify your answer as much as possible.

The probability that the installation time is less than or equal to 30 minutes is: P(X ≤ 30) = 4.23 × 30 = 126.9%

Let's discuss the probability density function (pdf) for the installation time X of a certain software package.

Given that the pdf is f(x) = 4.23 when 0 < x < 1, and f(x) = 0 otherwise, we can find the probability that the installation time is between two specific values, say, a and b.

To find the probability that the installation time X is between a and b (0 ≤ a < b ≤ 1), you need to integrate the pdf f(x) over the interval [a, b].

1. Write down the integral of the pdf f(x) over the interval [a, b]:

  P(a < X < b) = ∫[a, b] f(x) dx

2. Since f(x) = 4.23 when 0 < x < 1, substitute this value into the integral:

  P(a < X < b) = ∫[a, b] 4.23 dx

3. Integrate the function with respect to x:

  P(a < X < b) = [4.23x]_[a, b]

4. Evaluate the integral at the limits a and b:

  P(a < X < b) = 4.23b - 4.23a
To find the probability that the installation time is less than or equal to a certain value t, we need to integrate the probability density function from 0 to t:

P(X ≤ t) = ∫[0, t] f(x) dx = ∫[0, t] 4.23 dx = 4.23t

Therefore, the probability that the installation time is less than or equal to 30 minutes is:

P(X ≤ 30) = 4.23 × 30 = 126.9%

Now, you have the probability formula that the installation time X is between a and b. Remember, this formula is only valid for 0 ≤ a < b ≤ 1.

Suppose the installation time (in minutes) required for certain software package is continuous random variable with the probability density function 4x3 if 0 < x < 1 f(x) = {0 otherwise Find the expected value of the installation time in minutes = E(X) (Provide the exact answer:)

Complete Question:

Suppose the installation time (in minutes) required for certain software package is continuous random variable with the probability density function4x3 if 0 < x < 1 f(x) = 0 otherwise. Find the expected value of the installation time in minutes  = E(X) (Provide the exact answer:)

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Answer:

I think it is 82m2

Tried my best

Area Two walls are

= 2 × 5 × 3

= 30 m2

Area of other two walls:

= 2 × 6 × 3

= 48 m2

Total area = 48 + 30 m2

Thus area = \(\red{\bold{\boxed{78 {m}^{2}}}}\)

Answer:

the product is equal to the number. When a positive whole number is multiplied by a fraction greater than 1. When a positive whole number is multiplied by a fraction between 0 and 1, the product is less than the whole number.

Step-by-step explanation:

Answer:

  (c)  the converse of the original conditional statement

Step-by-step explanation:

If a conditional statement is described by p→q, you want to know what is represented by q→p.

For the conditional p→q, the variations are ...

As you can see from this list, ...

  the converse of the original conditional statement is represented by q→p, matching choice C.

__

Additional comment

If the conditional statement is true, the contrapositive is always true. The inverse and converse may or may not be true.

<95141404393>

Answer:

Simplify the radical by breaking the radicand up into a product of known factors.

Exact Form:

3

√

75

5

Decimal Form:

0.84343266

…

Answer:

\(\frac{27}{125}\)

Step-by-step explanation:

\((\frac{3}{5})^{3}\) is \(\frac{3^{3}}{5^{3}}\)

\(3^{3} = 27\) and \(5^{3} = 125\)

\(\frac{27}{125}\)

Answer:

Step-by-step explanation:

dava kaAjbhm

Answer:

9

Step-by-step explanation:

1. first you need to divide 36 by 48

2. 36/48= 0.75

3. then multiply 12 by 0.75

4. answer is 9!

Answer:

It is proportional

Step-by-step explanation:

The pool is being filled at a constant rate.

the interquartile range of that plot is 10

q3 is 30 and q1 is 20 so you subtract 20 from 30 to get 10

Answer:

10

Step-by-step explanation:

Answer:

0?

Step-by-step explanation:

Answer:

x = 155

Step-by-step explanation:

155 and x are alternate exterior angles and alternate exterior angles are equal when a and b are parallel

x = 155

Answer: y-3 = 3(x+4)

Step-by-step explanation:

See attached

Answer:

52.5 gallons a day per person

Step-by-step explanation:

6300 divided by 4 then divided by 30

Answer:

1,575 gallons of water per person per month.

Step-by-step explanation:

Since a family of 4 consumes 6,300 gallons a month, just divide 6,300 by 4. The quotient is 1,575. I hope this helps. Please mark Brainliest :)

Answer: 22( w + 2 ) =77 and the amount of the water bottle would be 1.50

Step-by-step explanation: i dont know what to write??

Answer: .018 and .02

Step-by-step explanation:

X=.9Y

X+Y=.038

X=.9Y

X=-Y+.038

-Y+.038=.9Y

-1.9Y=-.038

Y=.02

X+.02=.038

X=.018

Answer:

x > 3

2 is not a solution since 3 is greater than 2.

hope this helps :D

Answer:

3

Step-by-step explanation:

-2x =-6

-2. -2

x =3

-2 divided by -2x equal x

-2 divided by -6 equal 3

x equal 3

Answer: 54

Step-by-step explanation: First, add 3, 7, and 4, and you get 14. 252/14 = 18, so (7*18) - (4*18) = 54. Please tell me if I'm wrong.

Answer:

36

Step-by-step explanation:

Answer:

the correct answer is 36

Answer:

first 4 options..

. mark me the Brainliest.. pls

The total cost of the carpet purchased by the company for its reception is  $767.20.

The first step is to determine the total square feet of carpet that would be bought: 1.40 x 68.5 = 95.9 square feet

Now, determine the total cost of the carpet. This can be known by multiplyig the cost per square foot by the total amount of carpet needed.

95.9 x 8 = $767.20

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The solution to the equation does not exist

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

2x - 3 = 0

2x - 3 = 3

Also from the question, we understand that the graph is given as

3 = 0

The above equation is false, and cannot be represented on a graph

This is so because 0 and 3 do not have the same value

Similarly, we have 2x - 3 = 0 and 2x - 3 = 3

By substitution, the equations becomes

0 = 3

Hence, the equation has no solution

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Complete question

Graph of 3=0

Solve the equation 2x - 3 = 0 and 2x - 3 = 3 graphically

All of the statements are True when the expressions are evaluated using appropriate illustrations.

STATEMENT: 1

Real numbers have both rational and irrational values and can thus be manipulated using arithmetic operators like addition.

As a result, the statement is correct.

STATEMENT: 2

Real numbers can be expressed or raised to the power of another number in a variety of ways, including being squared.

STATEMENT: 3

All positive integers have a squared value that is greater than or equal to the value.

STATEMENT: 4

A sum's absolute value is always less than or equal to the sum of two numbers' absolute values.

Therefore, all of the statements are True when the expressions are evaluated using appropriate illustrations.

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The complete question is given below:
Rewrite the following statements less formally, without using variables. Determine, as best as you can, whether the statements are true or false.

a. There are real numbers u and v with the property that u+v b. There is a real number x such that x2 c. For all positive integers n,n2≥n.

d. For all real numbers a and b,|a+b|≤|a|+|b|

Answer:

125 kilometers

Step-by-step explanation:

2.5 * 50 = 125