Find the sum of the given geometric series: n = 8, r = 3, a = 1/2​

Answers

Answer 1

Answer:

a⁸=112 is the answer.

Step-by-step explanation:

a⁸=32(1/2)⁷

a⁸=32(7/2)

a⁸=112


Related Questions

FIND ANDGLE RPQ
THE NUMBER ON TOP IS 98 and the bottom is 110

Answers

Answer:

152

Step-by-step explanation:

this is because there is 360 degrees in a circle and if you subtract 98 and 110 from 360 you get 152.

need help un geomtry

Answers

Answer:

x = 138

Step-by-step explanation:

The 2 arcs above the diameter form a semicircle = 180°

x + 42 = 180 ( subtract 42 from both sides )

x = 138

I WILL CROWN YOU BRAINLYIST HELP
A truck delivers 14,000 pounds of gravel.

How many tons are in 14,000 pounds?

Answers

Answer:

7000

Step-by-step explanation:

Thus the truck delivers 7 tons of gravel.

What is a unit conversion?

"A unit conversion expresses the same property as a different unit of measurement. A conversion factor is a ratio that expresses how many of one unit is equal to another unit".

For the above situation,

A truck delivers 14,000 pounds of gravel.

We know that,

1 US ton = 2000 pounds

Thus, 14000 pounds = [tex]\frac{14000}{2000}[/tex]

⇒ [tex]7 tons[/tex]

Hence we can conclude that the truck delivers 7 tons of gravel.

Learn more about unit conversions here

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Given the passage, what determination can you make about the setting? How does the setting affect Jonathan’s behavior?

Answers

Answer: the area is affected by crime. He is protective of his money. Both right on edge

Step-by-step explanation:

Answer: a b

Step-by-step explanation:

Which graph represents a linear function?

Answers

Answer:

the 2nd

Step-by-step explanation:

linear just means line :)

Calculate the population
data set;
mean for the following
40, 50, 55, 78,58,60,73, 35, 43, 48.

Answers

Answer:

I think it’s 11.8

Step-by-step explanation:

It takes Jada 20 minutes to walk to school. It takes Andre 80% as long to walk to
school.
How long does it take Andre to walk to school?

Answers

Answer:

16

Step-by-step explanation:

I literally forgot how to do this plz help ASAP

Answers

Answer:

3/8

Step-by-step explanation:

3/10 ÷ 4/5

Copy dot flip

3/10 * 5/4

Rewriting

3 /4 * 5/10

3/4 *1/2

3/8

Answer:

B

Step-by-step explanation:

flip the 4/5 to 5/4 and multiple instead of divide to give you

= 3/10 x 5/4

Multiply denominators and numerators by each other (3 x 5 and 10 x 4) to give you

= 15/40

SImplify and your answer is

= 3/8

Which of the following choices are equivalent to the expression below? Check
all that apply. X^3/5

Answers

Answer:

[tex]\text{C. }(x^3)^{1/5},\\\text{F. }\sqrt[5]{x^3}[/tex]

Step-by-step explanation:

Exponent properties state [tex](a^b)^c=a^{(b\cdot c)[/tex]. Therefore, [tex]{x^{(\frac{3}{5})}=(x^3)^\frac{1}{5}[/tex].

Recall that [tex]a^{(\frac{b}{c})}=\sqrt[c]{a^b}[/tex]. Thus, [tex]x^{(\frac{3}{5})}=\sqrt[5]{a^3}[/tex].

9 - (12 + 3) + 8 x 2 using PEMDAS.


Helppppp!!!!

Answers

Answer: 10

Step-by-step explanation:

parenthesis first 9 - 15 + 8 x 2

multiply 8 x 2

you now have 9 - 15 + 16

subtract first because addition and subrtaction go in the order they're in the equation: 9 - 15 = -6

then add -6 + 16 = 10

Can someone plz answer these 2 questions plz? I'll give brainliest

Answers

Answer: gaming

Step-by-step explanation: gaming is a good sport

PLEASE HELP ASAP GIVING 100 POINTS

1. Finicus Jones is a wildlife researcher in South America. He has been studying green vine snakes and flatbread snakes. He randomly selected eight adults of each type of snake, measured them, and recorded their lengths in cm.
Green vine snake: {153, 172, 170, 172, 166, 174, 150, 153}
Flatbread snake: {144, 122, 150, 134, 144, 127, 142, 149}
(a) Create a line plot for each data set.
(b) Calculate the mean and MAD for each type of snake. (round to the nearest hundredth). Show your work.
(c) Calculate the means-to-MAD ratio for the two types of snakes. Show your work.
(d) What inference can be made about the length of both types of snakes? Explain

2. The manager at a new radio station wants to know what kind of music is popular in the area. She surveys people at random as they exit a supermarket between noon and 2 pm on a Monday.
(a) Is this sample biased or unbiased? Explain your reasoning in complete sentences.
(b) Suggest another method she could use to survey people in the area that would get an unbiased result.

Answers

Answer:

this is so easy like just put variables a in b

Step-by-step explanation:

hope you get it

The Question is what is the mean of the snakes lengths. The mean means you line all of your numbers up in order then you add all of the numbers up and when you get the total you divide the total plus the amount of numbers you have. So in this case the numbers would be: 8,17,22,39,44..next you would add all them up so it would be  the next step would be to count the numbers up and divide that by the total...so it will be 5/130=26 so the mean for this question will be 26....hope it helps :)

Unit 6 similar triangles homework 5

Answers

Answer:

1) x = 12

2) x = 23.1

3) x = 19

4) x = 16

5) x = 8

6) x = 17

Step-by-step explanation:

Comparing the sides of each triangle, we have;

1) [tex]\frac{32}{32 + x}[/tex] = [tex]\frac{24}{33}[/tex]

Cross multiply to get,

(32 + x) * 24 = 32 * 33

768 + 24x =1056

24x = 1056 - 768

24x = 288

x = 12

2) [tex]\frac{14}{34}[/tex] = [tex]\frac{x}{33 + x}[/tex]

cross multiply to have;

34x = 14 (33 + x)

34x = 462 + 14x

20x = 462

x = 23.1

3) [tex]\frac{20}{36}[/tex] = [tex]\frac{30}{x + 35}[/tex]

cross multiply to have;

36 * 30 = 20(x + 35)

1080 = 20x + 700

1080 - 700 = 20x

380 = 20x

x = 19

4) [tex]\frac{22.5}{42.5}[/tex] = [tex]\frac{2x - 5}{3x + 3}[/tex]

cross multiply to have;

42.5(2x - 5) = 22.5(3x + 3)

85x - 212.5 = 67.5x + 67.5

collect like terms

85x - 67.5x = 67.5 + 212.5

17.5x = 280

x = 16

5) [tex]\frac{2x + 4}{2x + 8}[/tex] = [tex]\frac{x + 7}{x + 10}[/tex]

cross multiply to have;

(2x + 8)(x + 7) = (2x + 4)(x + 10)

2[tex]x^{2}[/tex] + 14x + 8x + 56 = 2[tex]x^{2}[/tex] + 20x + 4x + 40

2[tex]x^{2}[/tex] + 22x + 56 = 2[tex]x^{2}[/tex] + 24x + 40

collect like terms to have;

22x - 24x = 40 - 56

-2x = -16

x = 8

6) [tex]\frac{28}{82}[/tex] = [tex]\frac{2x + 8}{7x + 4}[/tex]

cross multiply to have;

82(2x + 8) = 28(7x + 4)

164x + 656 = 196x + 112

164x - 196x = 112 - 656

-32x = -544

x = 17

The value of x in all the options can be determined by using the arithmetic operations. The calculations are given below.

1)

Given :

Two side lengths of a triangle are (x + 32) and 33.

According to the similar triangles property:

[tex]\dfrac{32+x}{32}=\dfrac{33}{24}[/tex]

SImplify the above expression in order to determine the value of 'x'.

768 + 24x = 1056

24x = 288

x = 12

2)

Given :

Two side lengths of a triangle are 34 and (x + 33).

According to the similar triangles property:

[tex]\dfrac{14}{34}=\dfrac{x}{33+x}[/tex]

SImplify the above expression in order to determine the value of 'x'.

34x = 462 + 14x

20x = 462

x = 23.1

3)

Given :

Two side lengths of a triangle are 36 and (x + 35).

According to the similar triangles property:

[tex]\dfrac{20}{36}=\dfrac{30}{35+x}[/tex]

SImplify the above expression in order to determine the value of 'x'.

1080 = 20x + 700

20x = 380

x = 19

4)

Given :

Two side lengths of a triangle are (3x + 3) and 42.5.

According to the similar triangles property:

[tex]\dfrac{22.5}{42.5}=\dfrac{2x-5}{3x+3}[/tex]

SImplify the above expression in order to determine the value of 'x'.

85x - 212.5 = 67.5x + 67.5

17.5x = 280

x = 16

5)

Given :

Two side lengths of a triangle are (2x + 8) and (x + 10).

According to the similar triangles property:

[tex]\dfrac{2x + 4}{2x+8}=\dfrac{x+7}{x+10}[/tex]

SImplify the above expression in order to determine the value of 'x'.

(2x + 8)(x + 7) = (2x + 4)(x + 10)

[tex]2x^2+22x+56=2x^2+24x+40[/tex]

16 = 2x

x = 8

6)

Given :

Two side lengths of a triangle are 82 and (7x + 4).

According to the similar triangles property:

[tex]\dfrac{28}{82}=\dfrac{2x+8}{7x+4}[/tex]

SImplify the above expression in order to determine the value of 'x'.

28(7x + 4) = (2x + 8)82

32x = 544

x = 17

For more information, refer to the link given below:

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Find the area and circumference of the circle. Round any answer to the nearest hundredth. Please include the unit of measure in your answer.

Answers

Answer:

A=326.85 in² , C=64.09 in

Step-by-step explanation:

Area of a circle= πr²

r=10.2 in

Plug into a calculator

A=π(10.2 in)² = 326.85129....≈326.85 in²

Circumference = 2πr

C=2π(10.2) = 64.08849...≈64.09 in

PLEASE I NEED THE ANSWER IN THE NEXT MINUTE

Answers

Answer:

Step-by-step explanation:

A

Answer:

96

Step-by-step explanation:

:)

Kiera’s middle school is conducting a survey to determine the winter dance theme. Which of the following best describes a random sample?
1 point
A. All of the students in Mrs. Jackson’s class are surveyed
B. Fifty student’s names from each grade are drawn from a hat
C. Fifty randomly selected staff members are surveyed
D. Fifty randomly selected 7th graders are surveyed

Answers

the answer to your question that you asked is b because it is the most random ............

The best description of a random sample for Kiera's middle school survey to determine the winter dance theme is option D: Fifty randomly selected 7th graders are surveyed.

What is random sampling?

Random sampling is a technique for picking a sample from a population in such a manner that each possible sample has a preset probability of being chosen.

As per the question, the sample should be representative of the entire student population, so selecting fifty students from each grade (option B) or all the students in Mrs. Jackson's class (option A) may not be representative of the entire student population.

Similarly, selecting fifty randomly selected staff members (option C) may not be representative of the student population.

Therefore, option D is the best choice as it randomly selects students from the population of interest.

Learn more about random sampling here:

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The surface area of a three-dimensional object is? This is a brainpop question, there is no picture, and tis a straight forward question

Answers

Answer:

What it is is basically when you take the area of every side of a three dimensional shape and then add it all together.

don't know if this is what you were looking for but I hope this helps.

Raj works in a bakery. He has 9 pounds of flour. He needs 14 ounces of flour to make one cake. How many cakes can Raj make? Use the​

Answers

Answer:

3

Step-by-step explanation:

m

3, this is correct sms

[tex]\frac{3}{4}\alpha-1\frac{1}{5}=2\frac{3}{4}[/tex]

Answers

I DONT KNOW LOL PLS STOP CHEATING

The segments shown below could form a triangle.
help please :)

Answers

That’s false because two lines are to short so it’s false

Answer:

The answer is false! :)

What is the exact value of tan(300°)?

Answers

Answer:

The exact value of tan 300° is ⏩ - √3

Hope it will help :)❤

In a local car lot, 1/6

of the cars have standard transmissions. Find the

probability that 3 of 4 randomly-selected cars have standard transmissions.

Answers

Answer: [tex]\dfrac{5}{324}[/tex]

Step-by-step explanation:

Given

Probability that car has a standard transmission is [tex]\frac{1}{6}[/tex]

So, the probability that the car does not have transmission is

[tex]1-\dfrac{1}{6}=\dfrac{5}{6}[/tex]

Probability of that 3 out of 4 randomly selected cars have standard transmissions is given by selecting 3 cars with standard deviation and then multiply by their respective probabilities

[tex]\Rightarrow P=^4C_3\cdot \left(\dfrac{1}{6}\right)^3\cdot \left(\dfrac{5}{6}\right)\\\\\Rightarrow P=4\times\dfrac{5}{6^4}\\\\\Rightarrow P=\dfrac{20}{1296}\\\\\Rightarrow P=\dfrac{5}{324}[/tex]

*yawn*...............

Answers

Answer:

yawwwwwwnnn......,....done

What is the median of the stem and lear plot

Answers

Answer:The median is the middle number of a set of data. The mode is the number that occurs the most in a set of data. You can use a stem-and-leaf plot to find the mean, median and mode of a set of data. ... Sometimes there will only be one number in the middle, and sometimes there will be two numbers

Step-by-step explanation:

The diameter of a circle is 12 cm. Find the circumference to the nearest tenth}to the nearest tenth.

Answers

Answer:

multiple by pie or 3.14........

Answer:

38 or 37.7 when not rounded

Step-by-step explanation:

what ratio is the same as 2/3?
a ) 8 / 12
b) 6 / 12
c) 9 / 12
d) 10 / 12

Answers

Answer: a) 8/12

Step-by-step explanation:

Both numbers have to be the same for it to be equal: More info below.

The answer is a) because 8 divided by 2 is 4, and 12 divided by 3 is also 4.

It is not b) because 6 divided by 2 is 3, but 12 divided by 3 is 4.

Not c) because 9 divided by 2 is 4.5, and 12 divided by 3 is 4.

Not d) because 10 divided by 2 is 5, and 12 divided by 3 is 4.

Therefore, the answer is a) 8/12.

Hope this helps!

I=$26.24, P=$500, T=18 months the annual interest rate is

Answers

A = $2,861.60

I = A - P = $2,361.60

Equation:
A = P(1 + rt)

Calculation:
First, converting R percent to r a decimal
r = R/100 = 26.24%/100 = 0.2624 per year.

Solving our equation:
A = 500(1 + (0.2624 × 18)) = 2861.6
A = $2,861.60

The total amount accrued, principal plus interest, from simple interest on a principal of $500.00 at a rate of 26.24% per year for 18 years is $2,861.60.

Which point on the number line has the least absolute value?​

Answers

Answer:

P

Step-by-step explanation:

The least absolute value is what number is closest to zero.

I need help I think we are almost done ;-;

Answers

Answer:

C)

Step-by-step explanation:

write 7.5^{1.25} as a radical

Answers

Answer:

[tex]\sqrt[4]{7.5^{4} }[/tex]

Step-by-step explanation:

Using the rule of exponents/ radicals

[tex]a^{\frac{m}{n} }[/tex] ⇔ [tex]\sqrt[n]{a^{m} }[/tex]

Given

[tex]7.5^{1.25}[/tex]

= [tex]7.5^{\frac{5}{4} }[/tex]

= [tex]\sqrt[4]{7.5^{4} }[/tex]

[tex]\sqrt[4]{7.5^{5} }[/tex] is the radical for [tex]7.5^{1.25}[/tex].

What are exponent rules?

Exponent rules, which are also known as the 'laws of exponents' or the 'properties of exponents' make the process of simplifying expressions involving exponents easier. These rules are helpful to simplify the expressions that have decimals, fractions, irrational numbers, and negative integers as their exponents.

Given

[tex]7.5^{1.25}[/tex]

We can write 1.25 is [tex]\frac{5}{4}[/tex]

[tex]7.5^{\frac{5}{4} }[/tex]

Using the rule of exponents/radicals

[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^{m} }[/tex]

[tex]7.5^{\frac{5}{4} }[/tex] = [tex]\sqrt[4]{7.5^{5} }[/tex]

[tex]\sqrt[4]{7.5^{5} }[/tex] is the radical for [tex]7.5^{1.25}[/tex].

Find out more information about rule of exponents here

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