| 10. S (x–13 dx 1 x- For numbers 11 to 13, determine whether the sequence is a) monotonic b) bounded. (4 points each) 11. {an) Anna 3n3 12. {and 13.{an} = {2(-1)n+1) =

Answer:

350 kilómetros por hora son 97,2222 metros por segundo ;)

The result of converting 350 km/h to meter per second is 97.22 m/s.

To convert from kilometers per hour (km/h) to meters per second (m/s), you need to apply the conversion factor.

The conversion factor for this conversion is 1 km/h = 0.2778 m/s.

To convert 350 km/h to m/s, multiply 350 by the conversion factor:

350 km/h×0.2778 m/s

= 97.22 m/s

Therefore, the result of converting 350 km/h to m/s is approximately 97.22 m/s.

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Answer:

22

Step-by-step explanation:

let's take this one at a time

gcd(88,22a^2)=22

gcd(44,66a^3)=22

gcd(22,22)=22

There's your answer!

\(\text{We need to find the greatest common factor}\\\\\text{This is the number that every factor is divisible by}\\\\\text{From the given numbers:}\,\, 88, 22a^2, 44a, 66a^3\\\text{You would see that each number is divisible by 22}\\\\\text{All the numbers can be divided by 22, any number bigger wouldn't}\\\text{work}\\\\\text{Therefore, your answer is 22}\)

The area on the curve when y = 2x [3,5] is 110/3 square units. To find the area on the curve when y = 2x [3,5], we need to use calculus.

We first need to integrate the equation with respect to x to get the curve's equation, which is y = x^2 + C, where C is the constant of integration. To find C, we can use the fact that the curve passes through the point (3, 6), since y = 2x when x = 3. Substituting these values into the equation gives us 6 = 9 + C, so C = -3.

Now that we have the equation of the curve, we can find the area between it and the x-axis using integration. We need to integrate the equation from x = 3 to x = 5, since that is the interval we are interested in. The integral is:

∫(3 to 5) (x^2 - 3) dx

Evaluating the integral gives us:

[1/3 x^3 - 3x] from 3 to 5

= [(125/3 - 15) - (27/3 - 9)]

= [110/3]

Therefore, the area on the curve when y = 2x [3,5] is 110/3 square units.

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The answer is:

∫θsec²(θ)dθ = θtan(θ) + ln|cos(θ)| + C,

where C is the constant of integration.

To integrate the function ∫θsec²(θ)dθ using integration by parts, we need to choose u and dv to apply the formula:

∫u dv = uv - ∫v du.

Let's assign u = θ and dv = sec²(θ)dθ.

Now, let's calculate du and v:

du = d(θ) = dθ

v = ∫sec²(θ)dθ = tan(θ).

Applying the integration by parts formula, we have:

∫θsec²(θ)dθ = θtan(θ) - ∫tan(θ)dθ.

We can further simplify the integral of tan(θ) by using the identity tan(θ) = sin(θ)/cos(θ):

∫tan(θ)dθ = ∫sin(θ)/cos(θ)dθ.

Using substitution, let's set u = cos(θ) and du = -sin(θ)dθ:

-∫(1/u)du = -ln|u| + C = -ln|cos(θ)| + C.

Therefore, the final result is:

∫θsec²(θ)dθ = θtan(θ) + ln|cos(θ)| + C,

where C is the constant of integration.

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A triangle's opposite side is split in half by an angle bisector into two segments that are proportional to the other two sides.

We can solve this problem by using the formula explained in the angle bisector theorem below.

Angle Bisector theorem :

            In the below image, PS is the angle bisector of ∠P in ΔPQR.

As a result, we can state that by using the angle bisector theorem as

PQ/PR = QS/SR

or

a/b = x/y.

By this, we can solve the angle bisector theorem.

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Answer:

D

Step-by-step explanation:

The total is 28, and the non white shirts are 19

Answer:

D. 19/28

Step-by-step explanation:

He is selecting a random student from the total number of all 28, so that's our denominator. It doesn't specify boy or girl, so it could be either. The total number of students wearing non-white shirts is 19. 19/28

63. "Adrenopathy" is the correct term for any disease of the adrenal gland.

64. Corporeal. 65. Thyropathy 66. Isletoma 67. Adrenergic 68.  Islet-related 69. Goiter 70. Thyrotropic 71. Somatic 72. Gonadotropic

63. Adrenopathy: The correct word parts to form the term that describes any disease of the adrenal gland are "adreno-" and "-pathy." The prefix "adreno-" refers to the adrenal gland, and the suffix "-pathy" indicates a disease or disorder.

64. Corporeal: To describe something pertaining to the body, the correct word part is "corpor-" which means body. By adding the suffix "-eal" meaning pertaining to, we form the term "corporeal" which means relating to the body.

65. Thyropathy: When combining the word parts for a disease of the thyroid gland, we use "thyro-" to refer to the thyroid gland and "-pathy" to indicate a disease or disorder. Thus, "thyropathy" is the term that describes any disease of the thyroid gland.

66. Isletoma: A tumor of the pancreatic islets can be described using the word parts "islet-" referring to the pancreatic islets and "-oma" which signifies a tumor. Therefore, "isletoma" is the appropriate term for a tumor of the pancreatic islets.

67. Adrenergic: To indicate something that is activated by epinephrine, the correct word part is "adreno-" referring to the adrenal gland, and the suffix "-ergic" indicating activation or stimulation by a substance. Thus, "adrenergic" describes something that is activated by epinephrine.

68. Islet-related: The word part "islet-" refers to the pancreatic islets. To describe something pertaining to the pancreatic islets, we can use the suffix "-related." Therefore, "islet-related" is the correct term for something pertaining to the pancreatic islets.

69. Goiter: Enlargement of the thyroid is commonly referred to as a "goiter." In this case, the specific word parts from the bank are not used to form the term.

70. Thyrotropic: When we want to describe something that acts on the thyroid, the appropriate word parts are "thyro-" for the thyroid gland and the suffix "-tropic" indicating an agent that acts upon or influences something. Thus, "thyrotropic" is the correct term for something acting on the thyroid.

71. Somatic: To describe something that acts on the body, the word part "somato-" is used, which refers to the body. Therefore, "somatic" is the term that describes something acting on the body.

72. Gonadotropic: The word part "gonado-" is used to refer to the reproductive organs. When we want to describe something that acts on the reproductive organs, the suffix "-tropic" is used, indicating an agent that acts upon or influences something. Therefore, "gonadotropic" is the correct term for something acting on the reproductive organs.

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The work done in propelling the lunar module from the surface of the moon to a height of 40 miles is 3,571,607,996 Joules.

This can be calculated as follows:

Weight of the lunar module on the surface of the Earth = 12 tons
converting weight to mass = weight/acceleration due to gravity
mass = 12 x 1000 / 9.81
mass = 1,224.6 kg

The force required to lift the module off the surface of the moon is equal to its weight, which is given by the formula:
force = mass x acceleration due to gravity
force = 1,224.6 x 1.62
force = 1,982.8 N

Calculating the total distance traveled:
distance = 1,737.1 + 64.37
distance = 1,801.47 km

Calculating the work done:
work = force x distance
work = 1,982.8 x 1,801,470
work = 3,571,607,996 J

Therefore, the work done in propelling the lunar module from the surface of the moon to a height of 40 miles is 3,571,607,996 Joules.

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Answer:

12.26

Step-by-step explanation:

To solve, you need to add her expenses of everything to get 2024.08. You know she works 165 hours each month, so you need to divide the 2024.08 total expenses by 165 to get her minimum hourly wage. 2024.08/165 = 12.267151515

Answer:

12.27

Step-by-step explanation:

Answer:

x=30

Step-by-step explanation:

Since the measure of an exterior angle is equal to the sum of any two angles in a triangle, the equation would be 4x-18=2x+6+36. Solve this, and we get x=30.

Hope this helped!

A pond contains 100 fish, of which 30 are carp. if 20 fish are caught, what are the mean and variance of the number of carp among the 20. This Statement is based on the assumption that : X follows hyper-geometric distribution with the given information.

According to the Question:

Total fish = 100

Carp = 30

Number of fish caught = 20

Now,

The random variable X follows hyper-geometric distribution.

Mean = 30 *20 / 100

         = 600/100 = 6

Therefore,

Variance = 30*20/100 * ((20-1)*(30-1)/100-1 + 1-30*20/100)

⇒ Variance = 600/100 * 56/99

⇒ Variance = 112/33

⇒ variance = 3.1111 ≈ 3.12

Assumptions:

Is that X follows hyper-geometric distribution with the given information.

Hyper - Geometric Distribution:

In probability theory and statistics, the hypergeometric distribution is a discrete probability distribution that yields n draws without replacement for k successes (if the drawn object has a particular property). random draw). From a finite population of size N containing exactly K objects with this property, each draw either succeeds or fails. In contrast, the binomial distribution describes the probability of k successes in n draws with replacement.

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u can add lines to split the figure into a triangle and two rectangles.

Area of the figure

= (12x15)/2 + 6x4 + 2x5

=124 yd^2

Answer:

Missing data points

Step-by-step explanation:

Given that there are 12 calendar months in a year, and there are clearly defined raining season in some areas which may last for months, following periods of low rainfall or zero precipitation, the sample should include all the months of the year so as to ensure, that the effect that causes rainy season such as the landward direction of moist air from the sea or the seaward of air during periods of dry season.

Other possible causes includes;

Heteroscedasicity

This occurs when the variability of the dependent variable is not constant with regards to the independent variable

Multiple linear regression

The relationship between rainfall and air pressure as well as other factors is a multiple linear regression

Answer: Linear association

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Option A is correct. Sagan scored higher than Andrea. Sagan's standardized score was 2.2, which is 2.2 standard deviations.

Answer: Correct

Sagan scored higher than Andrea. Sagan's standardized score was 2.2, which is 2.2 standard deviations above the mean and Andrea's standardized score was 1.4, which is 1.4 standard deviations above the mean.

Step-by-step explanation: No clue:)

Given function is,

To find the Horizontal and vertical shift.

Horizontal shift is defined as any changes which is made by adding or substracting to the variable x in the function.

Vertical shift is defined as any changes which is made by adding or substracting to the variable y in the function.

So in the given function the value inside the root is ( x+2 ). so the horizontal shift is two unit left side.

So in the given function the value out side the root is -3, which directly add it to the variable y.

So the vertical shift is three unit down ( Downwards since negative side ).

So the required answer is 2 units left side and 3 units downwards.

Answer:

D 10/18

Step-by-step explanation:

when you divide the top and bottom by 2, you get 5/9 which is 5:9 not 5:8

Answer:

10 out of 18 as it is giving 5:9

Answer:

27

Step-by-step explanation:

We substitute all the variables to get:

(5)2 + 2(8) ÷ 2 + 3(3)

We multiply everything to get

10 + 16 ÷ 2 + 9

Divide:

10 + 8 + 9

Add:

18 + 9

27

Answer:

42

Step-by-step explanation:

We plug in the given values into the equation:

The order of operations is:

Parentheses

Exponents

Multiplication & Division (whichever comes first)

Addition & Subtraction (whichever comes first)

\(5^{2} +2(8)\div2+3(3)\)

\(25+16\div2+9\)

Remember that division comes before addition

\(25+8+9\)

\(42\)

The average weight for the three girls is 162.75 pounds

What is average of numbers?

Average of given numbers is the sum of the numbers divided by the frequency of the numbers, in this case, it is the sum of the weights of the three individuals divided by 3 since the individuals are three in number.

However, we need to first and foremost convert the fractional  parts of the age to decimals before computing the average.

145 1/2=145.50

162 3/4=162.75

Average=sum of weights/number of person

sum of weights=145.50+180+162.75

sum of weights= 488.25

number of persons=3

average of weights=488.25/3

average of weights= 162.75

The average weight of the three girls highlighted in the question is 162.75 pounds or 162 3/4 pounds when converted to fractions

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Line CB touches circle A only at one point (point B), hence CB is a tangent.

A circle is the locus of a point such that its distance from a fixed point (center) is always constant.

When a line intersects a circle in exactly one point the line is said to be tangent to the circle

Hence since Line CB touches circle A only at one point (point B), hence CB is a tangent.

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Answer:

$3

Step-by-step explanation:

All you have to do is divide 6 by 2  because 50%  is also equal to 1/2

Answer:

113.4 points.

Explanation:

Use the Percent Equation to solve this answer.

378(100%-70%) = ?

378(30%) = ?

113.4

Answer:

-2, -13

0, -3

2, 7

4, 17

Step-by-step explanation:

To fill out the table, substitute the table x-values into the equation and the y-values will fill the table.

y = 5x - 3

y = 5(-2) - 3

y = -10 - 3

y = -13

This means the table value corresponding to -2 should be -13.

y = 5x - 3

y = 5(0) - 3

y = 0 - 3

y = -3

This means the table value corresponding to 0 should be -3.

y = 5x - 3

y = 5(2) - 3

y = 10 - 3

y = 7

This means the table value corresponding to 2 should be 7.

y = 5x - 3

y = 5(4) - 3

y = 20 - 3

y = 17

This means the table value corresponding to 4 should be 17.

ok

Budget =< lights + DJ + business fee

$500 =< $125 + $100x + $75

solve for x

500 =< 200 + 100x

500 - 200 =< 100x

300 =< 100x

x =< 300/100

x =< 3

The maximum number of hours is 3

Answer:

The answer you are looking for is the letter B on your assignment hun. Merry almost Christmas☃️

Answer:

Step-by-step

3

The rate of simple interest is 7%

What is Simple Interest?

Simple interest is a method of calculating interest on a loan or investment. It is calculated as a percentage of the principal amount, without taking into account any interest earned on the interest.

Solution:

To calculate the rate of simple interest charged at the bank, we can use the formula:

I = P × r × t

Where:

I = interest

P = principal amount borrowed

r = interest rate

t = time period

We are given that Chloe borrowed $800 from the bank for three years at simple interest, and the interest she is charged after three years is $168. Therefore, we can plug in the values we know and solve for the interest rate (r):

168 = 800 × r × 3

Divide both sides by 2400:

r = 0.07

Therefore, the rate of simple interest charged at the bank is 0.07 or 7% (since it's usually expressed as a percentage).

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