What is the sum of the geometric sequence 1, 3, 9, ... if there are 11 terms?

Answer:

1a) 24,750

1b) 1.868

2a) 6870

2b) 15,371

3a) 1410

3b) 25,400

4a) 9709

4b) 1596

5a) 0.272

5b) 0.080

6a) 19,943

6b) 1.779

7a) 1.340

7b) 2986

8a) 5.618

8b) 22,252

9a) 18.873

9b) 0.37

10a) 14.981

10b) 2400

the prime factors of 24 are 2 and 3, which combine to give the unique prime factorization of 24 as 2^3 × 3.

There are no factors of 24 that are prime numbers. A factor of a number is a whole number that divides that number without leaving a remainder. Prime numbers, on the other hand, are numbers that are divisible only by 1 and themselves, and cannot be expressed as the product of any other numbers.

The prime factors of 24 are 2, 2, and 3. We can factorize 24 as 2 × 2 × 2 × 3 or 2^3 × 3. Here, 2 and 3 are both prime numbers, but they are not factors of 24 in isolation. They are only prime factors of 24 when combined in the manner shown.

This fact highlights an important concept in number theory: the uniqueness of prime factorization. Every composite number can be expressed as a unique product of prime numbers. This fundamental theorem of arithmetic is crucial in many areas of mathematics, including cryptography, where it is used to secure communications and protect sensitive information.

In summary, there are no factors of 24 that are prime numbers. However, the prime factors of 24 are 2 and 3, which combine to give the unique prime factorization of 24 as 2^3 × 3.

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A:  10x + 8 = 3(x – 2)

    10x + 8 = 3x – 6

    7x =  – 14

    x = -2

A positively skewed distribution suggests that a test may have been relatively difficult for most test-takers. Appropriate frequency graphs that can be used for four given scenarios are: 1) pie charts, 2) histograms 3) bar graph 4) pie chart . These graphs are selected depending on the type of data being analysed.

A positively skewed distribution indicates that there are more scores on the lower end of the scale and fewer scores on the higher end of the scale. This suggests that the test may have been relatively difficult for the majority of the test-takers.

The appropriate type of frequency graph for each situation is as follows:

A bar graph or pie chart is appropriate for counting the number of blondes, brunettes, redheads, or "others" attending a college.

A histogram is appropriate for counting the number of people having each body weight reported in a statewide survey.

A bar graph is appropriate for counting the number of children in each grade at an elementary school.

A bar graph or pie chart is appropriate for counting the number of car owners reporting above-average, average, or below-average problems with their car.

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Answer: x=16

Step-by-step explanation:

\(2x+6=3x-10\)

Subtract 6 on both sides

\(2x+6-6=3x-10-6\)

\(2x=3x-16\)

Subtract 3x on both sides

\(2x-3x=3x-16-3x\)

\(-x=-16\)

Divide -1 on both sides

\(\frac{-x}{-1}=\frac{-16}{-1}\)

\(x=16\)

Answer:

6/20 chance or a 3/10(same thing )

Step-by-step explanation:

there are 20 numbers and only six of the are over 7 making a 6/20 chance or 3/10

Answer:

I will let you answer this after reading below

Step-by-step explanation:

a=area

\( a = \pi {r}^{2} \)

\(r = d \div 2\)

write a in terms of d

\( a = \frac{\pi {d}^{2}}{ 4}\)

since it's a semicircle divide a by 2 and that's your answer

I can confirm you answer if you like in a comment

Answer:

2

Step-by-step explanation:

hiiii

First, let's take a look at the larger polygon. The topmost side is 7 units long. Now, let's look at the small polygon. The topmost side is 1 unit long.

These polygons differ by a scale factor of 1/7.

7 * (1/7) = 1

49 * (1/7) = 7

Now, we know that x = 7.

The larger polygon has side lengths of 7, 49, 7, 49

The smaller polygon has side lengths of 1, 7, 1, 7

Answer:

PART 1

In january she recives the discount but not in Febuary

25*12= 300 For Jan

59.99*10= 599.90 For Feb

Total: 899.90 dollars

PART 2

x stands for amount of months

59.99x=359.94

Divide both sides by 59.99

x= 6

Step-by-step explanation:

Answer:

x = 17/32

Step-by-step explanation:

Firstly, you want to simplify by combining like terms:

4x(3+5)—10 = 4 · 3 + 5 – 10

32x—10 = 7

Add ten to both sides:

32x - 10 = 7

+10             +10

32x = 17

Divide both sides by 32:

32x = 17

/32      /32

32 divided by 32x makes x

so we get x = 17/32

(we dont divide 17/32 since we would get an irrational number (0.53125))

Answer:

8x + 7y = 30 ( one solution)

8x - 7y = 2

-8x + 7y = -2 ( infinitely many solutions )

8x - 7y = 2

8x - 7y = 2

-8x + 7y = 2 ( zero solutions )

Answer:

Answer:

8x + 7y = 30 ( one solution)

8x - 7y = 2

-8x + 7y = -2 ( infinitely many solutions )

8x - 7y = 2

8x - 7y = 2

-8x + 7y = 2 ( zero solutions )

Step-by-step explanation:

Answer:

Step-by-step explanation:

all that they did was multiply -3 from top 2nd column and x adjacent to first row

ie:

-3 multiplied by x = -3* x= -3x

The approximate distance between Khloe and school is given by 18.78 miles.

Representing Khloe's movements on a coordinate plane.

Let us assume that Khloe's starting point (her school) is at the origin (0,0).

She walks 20 miles due west,

which means she moves 20 units to the left on the x-axis. Her new position is (-20,0).

She then walks 8 miles due north,

which means she moves 8 units up on the y-axis.

Her new position is (-20,8).

Finally, she walks 3 miles due east,

which means she moves 3 units to the right on the x-axis.

Her new position is (-17,8).

Distance between Khloe's final position and her starting point (the school),

Use the Pythagorean theorem,

Distance = √((change in x)^2 + (change in y)^2)

⇒Distance = √((-17-0)^2 + (8-0)^2)

⇒Distance = √(289 + 64)

⇒Distance = √353

⇒Distance ≈ 18.78 miles

Therefore, Khloe is approximately 18.78 miles away from her school.

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Answer:A) 8 miles

Step-by-step explanation:

8 miles

Answer:

The correct equation is actually: y=10x+10.

Jaiden calculated the slope of the line incorrectly, as the y-axis increases by 10, not 2. The correct slope of the line is 20/2, which is equal to 10.

Hope this helps!

Answer:

A location of a place in the Map. The tip of a needle.

Step-by-step explanation:

The transformations that apply are Horizontal stretch or compression by a factor of 3, Vertical shift up by 24 units, Reflection over the x-axis, The leading coefficient of 1/3 is a vertical compression and The exponent of 2 on x is a parabola.

Vertical Stretch/Compression by a factor of 3: The coefficient in front of the x^2 term is 1/3, which stretches or compresses the graph vertically by a factor of 3.

Horizontal Stretch/Compression by a factor of 24: The exponent on the x term is 24, which stretches or compresses the graph horizontally by a factor of 24.

Reflect over the x-axis: The coefficient in front of the x^2 term is positive, so the graph is reflected over the x-axis.

Shift up or down: The constant term is not present, so the graph does not shift up or down.

Shift left or right: The constant term is not present, so the graph does not shift left or right.

Rotation: The graph does not rotate as it is a parabola in the standard form y=ax^2 + bx + c, it does not have any trigonometric function in it.

Therefore, The transformations that apply are Horizontal stretch or compression by a factor of 3, Vertical shift up by 24 units, Reflection over the x-axis, The leading coefficient of 1/3 is a vertical compression and The exponent of 2 on x is a parabola.

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Answer:

\( \: z = \frac{b - g}{d} \)

Step-by-step explanation:

\(b = dz + g \\ b - g = dz \\ \frac{b - g}{d} = z \\ hence \: z = \frac{b - g}{d} \)

Answer:

5 cubic centimeters

Step-by-step explanation:

250 divided by 2 = 125

To get to 125 you can do 5 x 5 x 5.

Since it is a cube you have to do Length x Width x Height which is why you do _ x _ x _.

The average speed for the first part of the trip is 60 miles.

Given:

1st leg DATA:

distance = 120 miles ;

rate = x mph ;

time = d/r = 120/x hrs

2nd leg DATA:

distance = 220 miles ;

rate = x-5 mph ;

time = 220/(x-5) hrs

hence the equation we frame is:

Equation:

120/x + 220/(x-5) = 6

120(x-5) + 220x = 6x(x-5)

120x - 600 + 220x = 6x² - 30x

-6x² + 340x + 30x - 600 =0

-6x² + 370x - 600 = 0

-3x² - 185x + 300 = 0

(3x-5)(x-60)

3x = 5 or x-60=0

x = 5/3 or x = 60

hence x-5 = 60-5

= 55 miles per hour.

Hence we get the answer as 60 miles.

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Answer: 19. 1 miles

Step-by-step explanation:

21.5 - 6.2 = 15.3

15.4 + 3.8 = 19.1

Answer:

Mr. Cooper rode 21.5 miles away from his house, then he rode back toward his house 6.2 miles.  Then he rode away from his house for another 3.8 miles.

21.5 miles - 6.2 miles =  15.3 miles

15.3 miles + 3.8 miles =  19.1 miles

Mr. Cooper is 19.1 miles away from his house.

Step-by-step explanation:

Answer:

16/12  or 4/3

Math

Answer: 34%

Step-by-step explanation:

      Let us assume that the table shown looks like the one I put together below. If your table does not look like this table, please note that this answer may be incorrect and comment what about the table is different.

      To find the percentage of the girls who voted for Splashdown, we will divide the numbers of girls who voted for Splashdown by the total number of girls, and multiply it by 100. Then, we will round to the nearest percent as asked.

\(\displaystyle \frac{46}{53+46+37} *100=\frac{46}{136} *100= 0.338235 * 100 = 33.8235 \approx 34\%\)

Answer:

First of all I don’t see a question the only reason I clicked onto it was because of the brainlest which I can assume I won’t get since I didn’t answer anything (because there is nothing to answer)

Step-by-step explanation:

Answer:

The correct answers are:

How much would your investment be worth at the end?

Answer: $550

What equation should you use to calculate this?

Answer: DA 500 (1+0.02*5)

Step-by-step explanation:

Answer:

1673

Step-by-step explanation:

multiply the volume value by 100

Answer:

1673

Step-by-step explanation:

since your liter to centiliter you just multiple you number by 100 for example:

10.30l x 100 = 1030

Answer:

L = (P - 2W)/2

Step-by-step explanation:

This is the formula for perimeter

P = 2L + 2W

Sustract 2W on both sides:

P-2W= 2L

Divide both sides by 2:

(P-2W)/2 = L

L= (P-2W)/2

If the probability of a 20% return is 70% and the probability of a 10% gain is 30%, The expected return is:17%.

Given:

Probability of 20% returns = 70%

Probability of 10% returns = 30%

Hence,

Expected Return = ( Probability of Return ×70% ) + ( Probability of return× 30% )

Expected Return = ( 0.2×0.7 ) + ( .10×0.3 )

Expected return=14%+3%

Expected Return = 17%

Therefore If the probability of a 20% return is 70% and the probability of a 10% gain is 30%, The expected return is:17%.

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Answer:

Choice C

Step-by-step explanation:

A geometric sequence is usually one that multiply or divide to get to the next number in the sequence. So let's go through them to see which one gets multiplied since all of the choices are increasing.

Choice A:

\(1^{+3},4^{+1},5^{+4},9^{+5},14\)

Nope that's not what we're looking for.

Choice B:

\(3^{+3},6^{+3},9^{+3},12^{+3},15\)

This would be a perfect arithmetic sequence but not the type of sequence we are looking for.

Choice C:

\(6^{*3},18^{*3},54^{*3},162\)

Yes! See how this one is multiplying by 3 and not adding or subtracting.

Choice D:

\(3^{+2},5^{+3},8^{+5},13^{+7},21\)

Nope this is not it either.