HELP! The diameter of a circle is 12 cm. Find its area in terms of π. (pi)

The given series is convergent and the sum S∞ is 5.555

Think about 10 - 8 - 6.4 - 5.12

If the common ratio of the series is between -1 and 1, then a geometric progression will be convergent.

the average ratio,

r = -8/10

⇒ r = -0.8

This equals 1 - 0.8 - 1.

The presented series is hence convergent.

Sum of series = S∞ = a/(1 - r)

Here, first term(a) = 10,

common ratio(r) = -0.8,

S∞ = a/(1 - r)

⇒ S∞ = 10/(1 - (-0.8))

⇒ S∞ = 10/(1 + 0.8)

⇒ S∞ = 10/1.8

⇒ S∞ = 5.555

Therefore, the given series is convergent and the sum S∞ is 5.555

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The number of asset is 15.698.89

Assets = liabilities + equity

liabilities= 3,241.77

equity= 12,457.12

Assets= 3,241.77 + 12,457.12

=  15.698.89

Hence Lloyd has 15.698.89 number of assets

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Answer:

y = 9.4

x = 5.7

Step-by-step explanation:

From the given triangle

Opposite to the acute angle is y

Hypotenuse = 11

Angle = 59degrees

using the SOH CAH TOA identity

sin 59 = opp//hyp

sin59 = y/11

y = 11sin59

y = 9.4

Also

Adjacent = x

cos theta = adj/hyp

cos 59 = x/11

x = 11cos59

x = 5.7

Answer: y=9

Step-by-step explanation:

Plug in (6,9) into the slope intercept form equation:

9=0(6) +b

Then get

9=b

When you make the equation you would end up with:

y=0x+9

which simplifies to y=9

Answer: To determine the games in which a person who buys a ticket for each game every day for the next 400 days could expect to lose less than a total of $200, we need to find the games in which the probability of winning is greater than the probability of losing.

Since the tickets for all of the games cost $2 per ticket, the probability of winning any given game is equal to the prize money divided by the ticket cost. For example, if the prize money for a game is $10, the probability of winning is $10/$2 = 1/2.

If the probability of winning a game is greater than the probability of losing, the expected value of the game is positive, which means that the person can expect to win more than they lose over time. On the other hand, if the probability of winning is less than the probability of losing, the expected value of the game is negative, which means that the person can expect to lose more than they win over time.

Therefore, to determine which games the person could expect to lose less than $200 in total, we need to find the games in which the prize money is greater than $2 per ticket.

Step-by-step explanation:

Answer:

1.61

Step-by-step explanation:

6/((sqrt3)+2) in a calculator

Answer:

-6(√3 - 2)  

Step-by-step explanation:

Which did you mean?

6/[sqr(3) + 2]

or

6/(sqr(3)+2)

or what?  Ambiguous unless you use parentheses.

If you meant

6/[sqr(3) + 2]

then rationalize the denominator by multiplying numerator and denominator of the given expression by (√3 - 2):

6(√3 - 2)                        6(√3 - 2)  

--------------------------  =  ----------------- = -6(√3 - 2)  

[sqr(3) + 2](√3 - 2)            3 -  4

Answer:

C

Step-by-step explanation:

The angles at point A have to be congruent so that you have two congruent angles. and one congruent side, which give SAA.

From the image, we can see than angle B and angle D are congruent. We also know that line AC is congruent to itself since it shared between the two triangles. Since we need one more angle, that angle has to be angle A.

The width of the arch at its base can be found by setting ƒ(x) = 0 and solving for x. This gives  x=12 feet.

Horizontal distance is the length of a straight line between two points, measured only in the horizontal direction. It is typically measured in units such as kilometres, meters, miles, or yards.

No, the box truck will not fit under the arch. The height of the arch at a horizontal distance of 8 feet is ƒ(8) = -0. 5(8)2 + 6(8) = 4 feet, which is less than the height of the truck (13. 5 feet).
The maximum height a truck that is 8 feet wide and is passing under the bridge can be is ƒ(8) = 4 feet.

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The area occupied by the semicircle, rectangle, and right-angled triangle in the figure is 51.63 m3.

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric forms. The name given to a triangle with the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. Triangle angles add up to 180 degrees when combined together.

given

Three shapes—a rectangle, a triangle, and a semicircle—make up the figure.

Triangle + rectangle + semicircle together make up the figure's surface area.

Triangle's area is equal to 1/2 * 3 * 5.

Triangle's surface area is 15/2.

Triangle's surface area is 7.5 m3.

Rectangle area equals length times width

Rectangle's area is equal to 6 x 5.

30 m2 is the rectangle's area.

Semicircle area equals πr²/2

Semicircle's area is equal to π(3)²/2

Semicircle's area is equal to 3.14(9)/2.

Semicircle's area is equal to 3.14 x 4.5.

Semicircle's surface area is 14.13 m2.

Area: 30 + 14.13 + 7.5

The area occupied by the semicircle, rectangle, and right-angled triangle in the figure is 51.63 m3.

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Answer:

4.30 and 0.70 if you round of to the nearest tenth

Step-by-step explanation:

pls mark as brainliest lol

Answer:

13,000

Step-by-step explanation:

We are 30 years away from 1990 which is double of 15 years so if you double 6,258 you get close to 13,000

Answer:

C, 13,000

I have attached a graph to help you out:

Hope this helps!

All values that are NOT in the domain of 9 are 5 /11 at x=9, where function  h=7.

All real numbers x, with the exception of those for which the denominator is 0, are included in the domain of a rational function. Equilibrate the denominator to zero and then solve for x to determine which x values are excluded from the scope of a rational function.

h(x)=x-2\sg(x)=(x-4)(x+2)

Suppose x = 9 and h(9) = 9-2 and g(9) = (9-4) (9+2) =5 /11

Because it is impossible to divide by zero while h is in the denominator, there will always be an issue anytime h = 7. After solving them, we discover that x cannot be either -2 or 5. So, the answer to part B would be x-5/11.or 5/11 are examples of x values that are beyond the domain.

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Answer:

To graph the quadratic function f(x) = -5x^2 - 2, we can use the parabola tool.

First, let's plot the vertex of the parabola. The vertex is the highest or lowest point on the graph of a parabola, and it is located at the point (h, k), where h is the value of the x-coordinate and k is the value of the y-coordinate.

For the quadratic function f(x) = -5x^2 - 2, the vertex is located at the point (0, -2).

Next, we can use the parabola tool to draw the graph of the quadratic function. To do this, we need to set the value of a, b, and c in the equation y = a(x - h)^2 + k. For the quadratic function f(x) = -5x^2 - 2, the values of a, b, and c are -5, 0, and -2, respectively.

Therefore, the equation of the graph of the quadratic function f(x) = -5x^2 - 2 is y = -5(x - 0)^2 - 2.

Using the parabola tool, we can draw the graph of the quadratic function by plotting several points on the graph and connecting them with a smooth curve.

The graph of the quadratic function f(x) = -5x^2 - 2 is a downward-facing parabola with its vertex at the point (0, -2). The graph opens downward because the value of a is negative. The parabola is symmetrical about the y-axis because the value of h is 0. The graph passes through the y-intercept (0, -2) because the value of k is -2.

Step-by-step explanation:

Answer:

Step-by-step explanation:

3(23-2b) + 3b = 48

1. Use the distributive property and distribute the 3 before the parenthesis

             3(23-2b)   (make sure you read the (-) as part of the 2b so it's -2b

              69 - 6b

2. 69 - 6b +3b = 48   (combine like terms...the bs: -6b + 3b)

    69 -3b=48

3. 69 - 3b = 48         (subtract 69 from both sides)

   -69           -69

4. -3b = -21      (divide both sides by negative three...we want the b to be +

   /-3    /-3

Answer: b = 7

So, C is your answer

Answer:

B. 16/11

Step-by-step explanation:

16/11 as a mixed number is 1 6/11. This is closest to 1 1/2 on the number line. The other negative numbers (-7/3, -5/5) are on the negative end on the spectrum so they are immediately eliminated. 3/7 doesn't have a whole number and therefore is not as close as 16/11 is to the point.

Hope it helps you.

"For all finance workers, 20% will have a tattoo" is the best interpretation of the probability 0.20.

The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms. The probability is a measure of the possibility that an event will occur. It assesses the event's certainty. P(E) = Number of Favourable Outcomes/Number of Total Outcomes is the probability formula. A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.

This can be calculated by taking the number of finance workers with tattoos and dividing it by the total number of finance workers, and then multiplying by 100 to express the result as a percentage.

(Number of finance workers with tattoos / Total number of finance workers) x 100 = 20%.

Here,

"20% of all finance workers will have a tattoo," is the best explanation of the probability 0.20.

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Complete question: A financial analyst reports that for people who work in the finance industry, the probability that a randomly selected person will have a tattoo is 0.20.

Which of the following is the best interpretation of the probability 0.20 ?

A- For all workers in the United States, 20% will work in finance.

B- For all finance workers, 20% will have a tattoo.

C- For all people with tattoos, 20% will work in finance.

D- For a specific group of 5 finance workers, 1 will have a tattoo.

E- For a specific group of 5 people with a tattoo, 1 will work in finance.

Answer:

0, 1, 2

Step-by-step explanation:

The solution to a system of equations given graphically is at the intersection of the individual graphs.

Graph (1)

There is no intersection between the 2 graphs so no solution

Graph (2)

There is one point of intersection between the 2 graphs so 1 solution

Graph (3)

There are two points of intersection between the 2 graphs so 2 solutions

The cordinate of point B is -2.

To find the coordinate of point B, we need to determine its distance from point A and then add that distance to the coordinate of point A. We are given that point B lies on a number line between points A and C, and that the distance between A and B is 1/3 of the distance between A and C.

First, we'll find the distance between points A and C. We know that the coordinate of A is -9 and the coordinate of C is 12. To find the distance between these two points, we simply subtract the coordinate of A from the coordinate of C. So, 12 - (-9) = 21. This tells us that the distance between points A and C is 21 units.

Next, we'll use this information to find the distance between points A and B. We know that this distance is 1/3 of the distance between A and C, so we'll multiply 21 (the distance between A and C) by 1/3. 21 * 1/3 = 7. This tells us that the distance between points A and B is 7 units.

Finally, we'll add this distance to the coordinate of point A to find the coordinate of point B. Since A is at -9, B is at -9 + 7 = -2. Therefore, the coordinate of B is -2.

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Answer:

6% change

Step-by-step explanation:

First find the difference between students at the end and the beginning of the year.

1200-1128=72

to find the percent, you need to divide the difference by the initial value.

72/1200=0.06

move the decimal

6%

Answer:

6%

Step-by-step explanation:

take the final amount of students (1128) and divide it by the beginning amount (1200) this will give you the percent of kids that stayed in the school, in decimal form .94, you can now multiply by 100 to get the percentage form of students that stayed, then subtract 94% from 100% to see that there was a 6% decrease in the number of students

if you have any questions, leave them in the comments and i will try to answer them.

Answer: XVR: 125 ; RVS: 55 ; WVS: 125 ; RST: 110 ; RSV: 70

Step-by-step explanation:

XVR: XVR is equal to WVS (alternate angles), and WVS plus XVW equals 180° (definition of a straight line)

So, 180° - 55° = 125° (this is the measure of SVW, but remember, SVW is equal to XVR)

RVS: RVS is equal to XVW since they're alternate angles, so we know that RVS is equal to 55°

WVS: We already solved this in the beginning

RST: First, we need to find the measure of RSV. To find the measure of RSV, use the fact that a triangle adds up to 180°. We know that the angle RVS equals 55°, and that angle VRS is also equal to 55°. So, we can use this equation:

RSV = 180° - (55° + 55°)

RSV = 70°

Now that we know RSV = 70°, we can find RST

180 - (RSV + RST)

180 - (70° + RST)

RST = 110°

RSV: We already found this

Sorry, that was a lot. Hope it wasn't too confusing.

Answer:

9216

Step-by-step explanation:

number of small cubes that would fill the prism = volume of prism / volume of small cubes

volume of a prism = length x width x height

3 x 6 x 8 = 144

volume of cube = length³

(1/4)³ = 1/64

144 ÷ 1/64

144 x 64 = 9216

Answer: [tex]24, 32, 40\ in.[/tex]

Step-by-step explanation:

Given

The shorter side is 8 inches shorter than the long side.

The hypotenuse is 8 inches longer than the long side.

Suppose the length of the long side is x

Short side is [tex]x-8[/tex]

hypotenuse is [tex]x+8[/tex]

using Pythagoras theorem

[tex]\Rightarrow \left( x-8\right)^2+\left( x\right)^2=\left( x+8\right)^2\\\Rightarrow x^2+64-16x+x^2=x^2+64+16x\\\Rightarrow x^2-32x=0\\\Rightarrow x\left( x-32\right)=0\\\Rightarrow x=0\ \text{or}\ 32[/tex]

Neglecting 0 as length cannot be zero

Shorter side is [tex]32-8=24\ in.[/tex]

long side [tex]x=32\ in.[/tex]

hypotenuse [tex]32+8=40\ in.[/tex]

Answer:

supplementary angles

Step-by-step explanation:

140 + 40 = 180.

Answer: 23

Step-by-step explanation:

Answer:

A, C, D

A function can’t have repeating x-values. Each assigns exactly one range (y-value) to each domain (x-value)

FOR PART A

Step-by-step explanation: