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

Carter's last ten shot put distances, in meters,are shown in the list 20.24, 20.11, 19.95, 19.99, 20.02, 19.88, 19.97, 20.21, 20.07 move words to the blanks to describe the measure of variability for this data set

Answers

Answer:

mad symmetric without

Step-by-step explanation:

Which expression is equivalent to 64y^18 - 1000z^6?

Answers

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Expression is equivalent to 64y¹⁸ - 1000z⁶ : (4y⁶)³- (10z²)³

In a right triangle, angle θ has a cosine value of 0.755. The side adjacent to angle θ has a length of 51.5 mm. What is the length of the hypotenuse of the triangle?
68.2 mm
38.9 mm
92.5 mm
41.0 mm

Answers

Answer:

I got that it was 68.2mm.

Step-by-step explanation:

Option A is correct, the length of the hypotenuse of the triangle is  68.2 mm.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

In a right triangle, the cosine of an angle is defined as the ratio of the adjacent side to the hypotenuse. That is:

cos(θ) = adjacent/hypotenuse

We know that cos(θ) = 0.755 and the length of the adjacent side is 51.5 mm.

Let's denote the length of the hypotenuse by "h".

Then we can solve for "h" as follows:

cos(θ) = adjacent/hypotenuse

0.755 = 51.5/h

h = 51.5/0.755

h = 68.21 mm

Therefore, the length of the hypotenuse of the triangle is approximately 68.2 mm.

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ3



y is directly proportional to x.
When y = 30, x = 6
a) Work out an equation connecting y and x.
b) Work out the value of y when x=12

Answers

If y is directly proportional to x then y:x.
When y = 30, x = 6 then 30/6 = 5:1. Therefor for every 1x there is 5y vice versa. When x = 12, then y = 5 * 12 = 60.
Therefore y = 60 hence 60:12

find the angles of x and y​

Answers

or, x=180

or,34=180

or,180-34

or x=146

Now,

or, y=146

or,18=146

or146-18

or, y=128

there is x is 34 and its all side angle is 180 degree So put x =180 and then put x value is 34 =180 and there is no values in front of 34 so there will be + and if +so in another side it will be - and then after put 180-34=146

Can someone please help me with math.

Answers

Answer:

11) C

14) B

Step-by-step explanation:

11) find the y-int (4) and slope (-4)

14) Complete the pattern for the table 4-20 ; 5-25 and for the graph, look for the y value when x is at 5 (20) so NY will have more snowfall.

Plz help on this as soon as possible

Answers

The answer to the system of equations is B

Stem-and-leaf plots provide a way to graphically compare​ data, unlike histograms.​ However, they are more difficult to construct. B. ​Stem-and-leaf plots can compare quantitative data to qualitative​ data, unlike histograms.​ However, they are not very useful for large data sets. C. ​Stem-and-leaf plots are easier to make and can contain more information than histograms.​ However, they are not very useful for large data sets. D. ​Stem-and-leaf plots are more useful for large data sets and can display more information than histograms.​ However, they are more difficult to construct.

Answers

Question:

Discus the advantages and disadvantages of histograms versus stem-and-leaf plots

Answer:

C. Stem-and-leaf plots are easier to make and and can contain more information than histograms. However, they are not very useful for large data sets

Step-by-step explanation:

A stem and leaf plot is a graphical presentation of quantitative data similar to an histogram. However, a stem and leaf plot retains and present the values of the original in the data set such that individual data values can be seen and can then be used to make analysis

The stem and leaf plot consists of a stem and a leaf  arranged in the order of place value, such that the numbers having a common highest place value are arranged on a row in a stem and leaf plot and therefore a stem and leaf plot is easier to make or construct than an histogram

However, it is very rare to find stem and leaf plots having more than 50 datasets or observations.

Work out the value of x.

Answers

Answer:

x = 15

Step-by-step explanation:

180 = 90 +4x +2x

90 = 6x

15=x

A new car is purchased for $17300. The value of the car depreciates at 9.25%
per year.
IS THIS EXPONENTIAL OR DECAY????? Help

Answers

Answer:

Exponential

Step-by-step explanation:

decay because it decreases by 9.25%

if someone can please answer the question in the picture thatd be great

Answers

Answer:

≈ 20.8 ft

Step-by-step explanation:

A right triangle is formed between the wall, the ground and the ladder.

The ladder is the hypotenuse , the wall and ground are the legs.

let h be the height of the wall, then using Pythagoras' identity

h² + 33² = 39²

h² + 1089 = 1521 ( subtract 1089 from both sides )

h² = 432 ( take the square root of both sides )

h = [tex]\sqrt{432}[/tex] ≈ 20.8 ft ( to the nearest tenth )



Help please!!!!!!!!!!!!!!!!

Answers

Answer:

i cant see it

Step-by-step explanation:

I NEED HELP ASAP. I WILL GIVE BRAINLIEST
A principal of $4000 is invested at 7.75% interest, compounded annually. How much will the investment be worth after 10 years? Use the calculator provided and round your answer to the nearest dollar.​

Answers

Annually compoudning interest formula

PV(1+i)ⁿ

4000(1+.0775)¹⁰=8437.869021

which rounds to

$8437.87

If you were to do this on a financial calculator it would look like this:

N=10

I/Y=7.75

PV=4000

PMT=0

CMPT FV = same answer

Yup you just need to know the formula and plug in your numbers but first know the difference between interest and compound to know which formula you choosing ! Use a calculator most likely an app Calculate84 is a life saver ^^^ all the luck

i need help, you’ll receive brainlest!

Answers

Answer:

D)

Step-by-step explanation:

Obtuse can have right angles.
True or False

Answers

False. Obtuse is always greater than 90°.

Answer:

False

Obtuse triangles can't have right angles

Evaluate f(8): SHOW ALL YOUR WORK
f(x) = x2 – 4

Answers

Answer:

60

Step-by-step explanation:

substitute x=8

f(8)=(8)2-4=60

Answer:

60

Step-by-step explanation:

f(x) = x² - 4

f(8) = (8)² - 4 = 64 - 4 = 60

The golden ratio is denoted by which Greek letter?
A. Beta
B. Omega
C. PHI
D. PSI

Answers

the golden ratio is denoted by which greek letter?

Φ phi

i need help with this

Answers

Answer:

(1,3)

Step-by-step explanation:

It is the intercept of the two lines

b) Describe how to convert from the vertex form to standard form.

Answers

Answer:

go on MATH.WAY. it'll give you the answer and explanation. hope it help

Step-by-step explanation:

:)))

HELP ME WITH THIS PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

[tex]\sqrt{3}[/tex] = m

Step-by-step explanation:

So we can say;

Tan(30) = m/3

=> Tan(30) * 3 = m

=> [tex]\sqrt{3}[/tex] = m

Hope this helps!

It’s root 3
Picture below displays the process

State six ordered pairs for this function.
F(x) = x2 +14x+45

Answers

i only could look up three but here:
(
0
,
45
)
,
(
1
,
60
)
,
(
2
,
77
)

Solve the equation by factoring: 12y^3 – 13y^2 + 3y = 0

Answers

Answer:

y = 0, y = [tex]\frac{1}{3}[/tex], y = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Given

12y³ - 13y² + 3y = 0 ← factor out y from each term

y(12y² - 13y + 3) = 0

y(3y - 1)(4y - 3) = 0 ← in factored form

Equate each factor to zero and solve for y

y = 0

3y - 1 = 0 ⇒ 3y = 1 ⇒ y = [tex]\frac{1}{3}[/tex]

4y - 3 = 0 ⇒ 4y = 3 ⇒ y = [tex]\frac{3}{4}[/tex]

Complete the table using division to figure out the ratios that are equivalent to 40/28.

? ? 40
? ? 28

Answers

Answer:

[tex]\frac{40}{28} =\frac{20}{14} =\frac{10}{7}[/tex]

Step-by-step explanation:

[tex]\frac{40}{28} =\frac{20}{14} =\frac{10}{7}[/tex]

first divide both the numerator and the dnominator by 2,

then by 4.

Select the correct comparison.
Set A
Set B
0
2 A
68
2 4 6 8 10
O.
A. The typical value is greater in set A. The spread is greater in set B.
B. The typical value and the spread are both greater in set B.
C. The typical value is greater in set B. The spread is greater in set A.
ОО
D. The typical value and the spread are both greater in set A.

Answers

Answer:

C

Step-by-step explanation:

please help me with geometry questions ​

Answers

Answer:

[tex]\angle NPM[/tex]

Step-by-step explanation:

Given

Circle of center P

Polygon JKLMN

Required

The central angle of JKLMN

From the question, we have that: the polygon and the circle have the same center (P).

This means that any central angle must pass through P

By this, PMN and NJK are incorrect

QPK divides the polygon and point Q is not on the vertex of the polygon.

By this, QPK is also incorrect

The final option NPM is correct, because P is at the center and points N and M are at the vertices of the polygon

Middle school math ! Plz help!!

Answers

Answer:

x < 11

Step-by-step explanation:

-9x + 40 > -59

Subtract 40 from each side.

-9x > -99

Divide by -9 on each side. (flip the symbol)

x < 11

Please help I NEED THE ANSWER IN THE NEXT 2 MINUTES

Answers

Answer:

6 bc yes

Step-by-step explanation:

Can someone help me with this? Please this would mean so much.

Answers

Answers:

x = angle MLN = 35 degrees

angle FLJ = 55 degrees

=================================================

Explanation:

This problem is fairly tricky if you're not sure what to look for. A slight clue is that they've marked a red point that strangely doesn't have a label on it. It's a fairly small point but it's definitely there if you look closely. While this point's location isn't exactly what we want, we're fairly close. Start at point L and draw a ray through the center point P. Ray LP will intersect the circle at point A, as shown in the diagram below.

From here, draw segments FA and MA. Now notice that inscribed angle LMF = 55 and inscribed angle FAL both subtend the same arc. The term "subtend" basically means "cut off". This arc that the inscribed angles subtend is minor arc FL. A minor arc is where you travel the shorter path around the circle, which indicates its measure is less than 180 degrees.

Since inscribed angles LMF and FAL subtend the same minor arc, this makes the inscribed angles to be congruent.

In short: angle FAL is 55 degrees

----------------------

Segment LA goes through the center P. Through Thales theorem, we know that inscribed angle LFA is 90 degrees. Consequently, we can determine that inscribed angle FLA is 90-55 = 35 degrees.

Segment JL is tangent to the circle, meaning that angle ALJ is 90 degrees. So angle FLJ is 90-35 = 55 degrees.

It's not a coincidence that angle FLJ, angle FAL, and angle LMF are the same measure.

----------------------

We found that angle FAL was 55 degrees. Applying Thales theorem again shows that angle MAF is 90 degrees. Therefore, angle LAM is 90-55 = 35 degrees.

Focus now on triangle LMA. This is also a right triangle (Thales Theorem). The upper acute angle we found was angle LAM = 35, so the lower acute angle is ALM = 55.

Then we can find angle MLN = (angle ALN) - (angle ALM) = 90 - 55 = 35

In short, angle MLN = 35 degrees

Similar to the previous section, it is not a coincidence that angles LFM, LAM and MLN are the same measure.

------------------------

As an alternative, since we know angle FLJ = 55, and angle FLM is 90 degrees, this means...

(angle FLJ)+(angle FLM) + (angle MLN) = 180

55 + 90 + angle MLN = 180

145 + angle MLN = 180

angle MLN = 180 - 145

angle MLN = 35 degrees

Solve equation.
2x-5=-3+2x

Answers

Answer:

x = 2

Step-by-step explanation:

PLEASE HELP! FAST
Find the volume of the remaining solid if the cylinder is removed from the center of a right rectangular prism. The diameter of the cylinder is 3 feet. Use 3.14 for pu and round to the nearest tenth if needed.

Answers

I don’t know how to use this app and dong know what’s going on <3
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