The common ratio in a geometric series is 4 and the first term is 3.
Find the sum of the first 8 terms in the series.
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Answer:

6

Step-by-step explanation:

6 multiplied by 6 is 36.

Answer:

6

Step-by-step explanation:

When you are solving for a certain variable, you want to simplify the equation down until you can't anymore. This equation is very simple. You just have to divide both sides by 6. This is because we want to get the variable (x) alone.

6x=36

Divide both sides by 6

x=6

hope that helped.

The actual length of the fence is 215 inches

Step-by-step explanation:

Length of fence in drawing = 3.75 inches

Actual length of the fence = 24 ft

= 288 inches

Scale factor = 288/3.75

= 76.8

Length of fence in drawing = 2.8 inches

Actual length = 2.8 x 76.8

= 215 inches

The actual length of the fence is 215 inches

Answer:

215 in

Step-by-step explanation:

215 in

Solutions that lie on the line are -1 and 2.

When y is -2, x is either 0 or 1.

When y is 4, x is either -2 or 3.

The line never goes below -2

The correct answer is  OPTION (A) All solutions that lie on h(x)

The solutions that lie on h(x) are real solutions , whole number solutions , positive solutions and negative solution .

According to the graph ,

Therefore , all solutions lies on h(x)

Learn more about Graph solution below

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Answer:

47.5

Step-by-step explanation:

Add the bases. 8+11=19

Multiply 19 by 5 then divide to get 47.5

Answer:

[tex]47.5 {cm}^{2} [/tex]

Step-by-step explanation:

[tex] area = \frac{a + b}{2} h \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{11 + 8}{2} \times 5 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 47.5 {cm}^{2} [/tex]

Answer:

344

Step-by-step explanation:

80*4=320

6*4=24

320+24=344

Answer:

0,125%

Step-by-step explanation:

100% - 803

x% - 1

1x100/803

Answer:

80300

Step-by-step explanation:

Answer:

0.8%

Step-by-step explanation:

Because they are two independent events, the final probability is the product of the probability of each event.

First event:

The complement of a student being male is that he is female.

Therefore, if 60% is male, the remaining 100% is 40%, meaning that 40% of the students are female.

Second event:

If she's taller than 5'4", we're told she has a 2% chance of being a woman.

Therefore the final probability is:

0.4*0.02 = 0.008

That is, the probability that it is female and that it is over 1.6 meters tall is 0.8%.

Answer:

Step-by-step explanation:

(-v² - 3v -8)(3v² + 6v + 3) = -v²*(3v² + 6v + 3) -3v*(3v² + 6v + 3) -8*(3v² + 6v + 3)

= -3v⁴ - 6v³ - 3v² -9v³ - 18v² - 9v - 24v² - 48v - 24

{bring the like terms together}

= -3v⁴ - 6v³ - 9v³ -3v² -18v² -24v²  - 9v - 48v - 24

= -3v⁴ - 15v³ - 45v² - 57v - 24

HINT:

-v²*(3v² + 6v + 3) = -v²*3v² + (-v²)*6v + (-v²)*3

                           = -3v²⁺² - 6v²⁺¹ - 3v²

-3v*(3v² + 6v + 3) = -3v*3v² + 6v*(-3v) + 3*(-3v)

                            = -9v¹⁺² - 18v¹⁺¹ - 9v

                            = -3v³ - 18v² - 9v

                          = -3v⁴ - 6v³ - 3v²

Answer:

78.54

Step-by-step explanation:

V=[tex]\pi \\[/tex][tex]r^{2}[/tex] [tex]\frac{h}{3}[/tex]

V= 3.14 [tex](5)^{2}[/tex] [tex]\frac{3}{3\\}[/tex]

V= 3.14 (25) (1)

V= 78.5

The volume of a cone can be calculated using the formula V = 1/3 * π * r2 * h, where r is the radius and h is the height.

To find the volume of a cone, you can use the formula V = 1/3 × π × r² × h, where r is the radius of the base and h is the height of the cone.

For example, if the radius is 4 cm and the height is 10 cm, we can substitute these values into the formula:

V = 1/3 × 3.14 × 42 × 10 = 1/3 × 3.14 × 16 × 10 = 167.47 cm³.

So, the volume of the cone is approximately 167.47 cm³.

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Answer:

17x + 94

Step-by-step explanation:

Step 1 : Add 16x and x = 17x

Step 2: Add 22 + 63 + 9 = 94

Because the highest exponent of x goes first

And there's only one x

Then simply add the constant (any number with no x)

17x +94

Answer:

Step-by-step explanation:

hello :

y=2x+b the same as y=2x

y=2x means : y=2x+0    so : b=0

Answer: -90-27v

Step-by-step explanation:

N A

Answer:

-90-27v

Step-by-step explanation:

9(-10-4v)+9v

-90 - 36v + 9v

-90 - 27v

Here's a picture to explain it better.

The probability of getting a head when flipping a biased coin, which has the probability of 0.44 for tails, is 0.56 or 56%. This is calculated by subtracting the probability of tails from 1.

When dealing with a biased coin, the probability of the two outcomes, heads and tails, must still add up to 1, since these are the only two possible outcomes of a flip. In this case, you have been given the probability of getting tails as 0.44. Therefore, the probability of getting heads must compliment this to sum up to 1.

To find the probability of getting a head, you simply subtract the probability of a tail from 1:

Probability of heads = 1 - Probability of tails

= 1 - 0.44

= 0.56 or 56%

In the context of probability, this means that over a large number of flips, you would expect to get a head about 56% of the time on this particular biased coin.

Answer:

180 − 12x = 60

Step-by-step explanation:

We have been given that Darren invests $4,500 into an account that earns 5% annual interests. We are asked to find the amount in his account after 10 years, if the interest rate is compounded annually, quarterly, monthly, or daily.

We will use compound interest formula to solve our given problem.  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex], where,

A = Final amount,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

[tex]5\%=\frac{5}{100}=0.05[/tex]  

When compounded annually, [tex]n=1[/tex]:

[tex]A=4500(1+\frac{0.05}{1})^{1\cdot 10}[/tex]

[tex]A=4500(1.05)^{10}[/tex]

[tex]A=4500(1.6288946267774414)[/tex]

[tex]A=7330.025820498\approx 7330.03[/tex]

When compounded quarterly, [tex]n=4[/tex]:

[tex]A=4500(1+\frac{0.05}{4})^{4\cdot 10}[/tex]

[tex]A=4500(1.0125)^{40}[/tex]

[tex]A=4500(1.6436194634870132)[/tex]

[tex]A=7396.28758569\approx 7396.29[/tex]

When compounded monthly, [tex]n=12[/tex]:

[tex]A=4500(1+\frac{0.05}{12})^{12\cdot 10}[/tex]

[tex]A=4500(1.00416666)^{120}[/tex]

[tex]A=4500(1.64700949769)[/tex]

[tex]A=7411.542739605\approx 7411.54[/tex]

When compounded daily, [tex]n=365[/tex]:

[tex]A=4500(1+\frac{0.05}{365})^{365\cdot 10}[/tex]

[tex]A=4500(1.0001369863013699)^{3650}[/tex]

[tex]A=4500(1.6486648137656943695)[/tex]

[tex]A=7418.9916619456\approx 7419.00[/tex]

Since amount earned will be maximum, when interest is compounded daily, therefore, Darren should use compounded daily interest rate.

Answer:

See explanation.

(Before continuing reading, I took the base to be 3. Please tell me if you didn't want the base to be 3.)

Step-by-step explanation:

I assume 3 is suppose to be the base. Let's list some values that can be written as 3 to some integer.

3^0=1

3^1=3

3^2=9

3^3=27

3^4=81

3^5=243

......

I could have also did negative integer powers, but this is all I really need to convince you that log_3(28) is between 3 and 4.

log_3(28) means the value x such that 3^x=28.

Since 28 is between 27 and 81 in my list above, that means 3^x is between 3^3 and 3^4. This means that x is a value between 3 and 4.

Answer:

1/2

Step-by-step explanation:

4/5 - 3/10

Lcm would be 10

[(4×2) - 3]/10

(8 - 3)/10

5/10

1/2

Answer:

Step-by-step explanation:

raise your hand

Answer:

9. I believe is J

10. G just remember the per, the each, and every always represents x

11. x = -3

12.  b = 20

Here's a hint for 11 and 12 always combine like terms

           Hope this help message me if needed

Step-by-step explanation:

The number of books in French language  = 6

The number of books in Russian language  = 8

The number of Spanish books  = 5

So, in total there are 19 books in 3 different languages F , R and S.

Now, the books are to be arranged in such a way that each language books are stacked together.

The possible number of ways to do it is :

1. French, Russian , Spanish.

2. French, Spanish, Russian.

3. Russian , Spanish, French.

4. Russian , French , Spanish.

5. Spanish, French,  Russian.

6. Spanish, Russian, French.

So,there are total 6 ways to arrange the books in the desired manner.

Hence, there are 6 possible ways to arrange the books in a row on a shelf with all books of the same language grouped together.

The total number of ways to arrange the books on the shelf, with each language's books grouped together, is computed by the formula 3! * 6! * 8! * 5! which covers arranging the language groups and the books within each group.

This problem can be approached through the use of factorial operations in combinatorics, a branch of math dealing with combination and permutation. You want to find out how many ways there are to arrange these books with the condition that each language's books are grouped together. First, we take into account how to arrange the groups of languages, and then we arrange the books within each group.

We have 3 groups of books (French, Russian and Spanish) which can be arranged in 3! (3 factorial) ways, that is 3*2*1 equaling 6 ways to arrange the group of languages.

Within each group, suppose we arrange the French books in 6! ways, Russian books in 8! ways, and Spanish books in 5! ways. These can be arranged within their group in these many ways due to different book titles.

Thus, the total number of ways to arrange the books on the shelf under the given condition would be the arrangement of groups multiplied by the arrangements within each group. Or, 3! * 6! * 8! * 5!. This represents your answer.

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Answer:

The coordinates of b are (-7, -8)

Step-by-step explanation:

Answer:

(-2,6)

Step-by-step explanation:

Answer:

Probability that she walks or cycle to school on any day and not be late is 0.705

Step-by-step explanation:

Part A

P(she walks to school) = 0.65  

P(she will be late) = 0.4

P(she will not be late) = 1 - P(she will be late) = 1 - 0.4 = 0.6

Part B

P(she cycle to school) = 1 - P(she walks to school) = 1 - 0.65 = 0.35

P(she will be late) = 0.1

P(she will not be late) = 1 - P(she will be late) = 1 - 0.1 = 0.9

Thus, probability that she walks or cycle to school and not be late =

P(walks: not late) + P(cycle: not late)

= (0.65 x 0.6) + (0.35 x 0.9)

= 0.39 + 0.315

= 0.705

Therefore, probability that she walks or cycle to school on any day and not be late is 0.705

Answer:

∠O ≈ 43°

Step-by-step explanation:

Draw a diagram to help you visualize (see photo below).

Since ∠Q is a right angle and ΔOPQ is a triangle, we can use the trigonometric ratios (SohCahToa).

To find ∠O (which is represented by θ in the diagram), use the given sides:

QO = 61 feet

OP = 83 feet

OP is the hypotenuse since it's the longest side.

If ∠O = θ (angle of reference), then side QO is adjacent.

The trig. ratio that uses adjacent and hypotenuse is:

cosθ = adjacent / hypotenuse

Substitute the variables for this question

cosO = QO / OP

Substitute the known values

cosO = 61 feet / 83 feet            Isolate "O"

∠O = cos⁻¹(61/83)                Input into calculator

∠O ≈ 42.69787...°               Exact answer

∠O ≈ 43°               Round to the nearest whole degree

Therefore, the measure of ∠O is 43°.

Please comment below if you have any questions!

Answer:

a. 70 square centimeters

Step-by-step explanation:

The area of the composite figure = Area of trapezoid + Area of rectangle

 Area of trapezoid = [tex]\frac{1}{2}[/tex] (a + b) h

                              = [tex]\frac{1}{2}[/tex] (12 + 13) × 5

                              = [tex]\frac{1}{2}[/tex] ×125

                              = 62.5

Area of trapezoid is 62.5[tex]cm^{2}[/tex]

Area of rectangle = length ×breadth

                             = 5 × 2

                             = 10 [tex]cm^{2}[/tex]

Area of rectangle is 10[tex]cm^{2}[/tex]

The area of the composite figure = 62.5 + 10

                                                       = 72.5[tex]cm^{2}[/tex]

To 1 significant figure, the area of the composite is 70[tex]cm^{2}[/tex].

Answer:

Step-by-step explanation:

it's really b.  Just did the test and put 70 and got it wrong.

Answer:

Step-by-step explanation:

90 degree angle

90 - 50 = 40

Answer:

3

Step-by-step explanation:

3x3=9

Answer:

134.0

Step-by-step explanation:

Final answer:

The volume of the hemisphere with a diameter of 8ft, rounded to the nearest tenth of a cubic foot, is approximately 134.0 cubic feet.

Explanation:

To find the volume of a hemisphere, we can use the formula:

Volume = (2/3) * π * (radius)^3

Given that the diameter of the hemisphere is 8ft, we can calculate the radius by dividing the diameter by 2:

Radius = 8ft / 2 = 4ft

Substituting the value of the radius into the formula, we get:

Volume = (2/3) * π * (4ft)^3

Volume ≈ 134.04 ft³ (rounded to the nearest tenth)

This question is a little confusing but i will try my best to answer it pls mark me a brainliset if its helpful in anyway.

the 3 sides of the triangles add up 180 degrees

Answer:

Step-by-step explanation:

Its 180 degrees in total if it is an equilateral triangle each corner is 60 degrees, but still add up to 180. All triangles add up to 180 degrees.

Answer: The distance from her house to the mountains is 280 miles.

Step-by-step explanation:

Let x represent the her speed while driving to the mountains.

if her average rate was 21 miles per hour faster on the trip home, it means that her speed while driving home is (x + 21) mph.

Distance = speed × time

Her trip to the mountains took 8 hours. It means that the distance she travelled on her way to the mountains is 8 × x = 8x

when Maya drove home, there was no traffic and the trip only took 5 hours. It means that the distance she travelled on her way to home is

5(x + 21)

Since the distance is the same, it means that

8x = 5(x + 21)

8x = 5x = 105

8x - 5x = 105

3x = 105

x = 105/3

x = 35 mph

The distance from her house to the mountains is

8 × 35 = 280 miles