PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!What is the sum of the first 7 terms of the series − 3 + 6 − 12 + 24 −... ?

Answers

Answer 1

Answer:

Answer: -129

Step-by-step explanation:

Given the sequence {-3, 6, -12, 24, ... }, we can see that the first term (a) is -3 and the ratio (r) is $(6)/(-3) = -2$ .

Input those values into the Sum formula:

$S_n=(a(1-r^n))/(1-r)\n\nS_7=(-3(1-(-2)^7))/(1-(-2))\n\n.\quad=(-3(1-(-128)))/(1+2)\n\n.\quad=(-3(1+128))/(3)\n\n.\quad=(-3(129))/(3)\n\n.\quad=-129$

Related Questions

Find the probability. Round to nearest tenth.
Which of the following fractions is equivalent to 10/12 ?A.4/5 B.20/30 C.40/48 D.12/14
Solve each equation by graphing. Round to the nearest tenth. 6x^2+18x=0
Kaylah's cell phone has a mass of 50,000 centigrams. what is the mass of her phone in grams
In triangle ABC, angle A measures 33 degrees and angle C measures 122 degrees. What is the measure of angle B?

you are lying 120 feet away from a tree that is 50 feet tall you look up at the top of the tree apart a proximately how far is your head from the top of the tree in a straight line

Answers

pythagoren theorem

your distance from tree is bottom leg
height of tree is height leg

a^2+b^2=c^2
a and b ar legs,
c=hypotnuse=distance from head to treee

50^2+120^2=c^2
2500+14400=c^2
16900=c^2
sqrt both sides
130=c^2
you are 130 feet away

Find the product. (n + 8)(n - 2)

Answers

If you would like to find the product (n + 8) * (n - 2), you can do this using the following steps:

(n + 8) * (n - 2) = n * n - 2 * n + 8 * n - 8 * 2 = n^2 + 6 * n - 16

The correct result would be n^2 + 6 * n - 16.

$(a+b)(c-d)=ac+cb-bd-da\n(n+8)(n-2)=\n(n* n)+(n*8)-(8*2)-(2* n)\nn^2+8n-16-2n\n{\boxed{n^2+6n-16}$

In winter, the price of apples suddenly went up by$0.75 per pound. Sam bought 3 pounds of apples at the new price for a total of $5.88. Write an equation to determine the original price per pound (p) and then find the original price per pound.

Answers

From the information given, the original price per pound was increased by $ 0.75
Let the original price be x, so the new price is x + 0.75

Sam bought 3 pounds of apples at new price and it cost him 5.88

so we form an equation:

3 (x + 0.75) = 5.88

3x + 2.25 = 5.88

3x = 5.88 - 2.25

3x = 3.63

x = 3.63 / 3

x = 1.21

Therefore the original price per pound is 1.21 dollars

Answer:

1.21=x

Step-by-step explanation:

3 (x + 0.75) = 5.88

then 3x + 2.25 = 5.88

then 3x = 5.88 - 2.25

to 3x = 3.63

and last of allx = 3.63 / 3

1. Jack is 30 years old and Alice is 35 years old. What percent of Alice's age is Jack, rounded to the nearest tenth of a percent?

Answers

the answer would be 57percent

1. What is the value of x in the triangle?Enter your answer in the box. Round your final answer to the nearest hundredth.
x = cm

2. What are the values of the trigonometric ratios for this triangle?
Drag the answer into the box to match each ratio.
sinθ-----
cosθ-----
tanθ-----
OPTIONS YOU CAN DRAG
5/4
3/4
3/5
4/3
4/5
5/3

3. What is the value of x in this triangle?
Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.
x = °

4. What is the value of θ for the acute angle in a right triangle?
sin(θ)=cos(58°)
Enter your answer in the box.
θ= °

5. A party tent is used for an outdoor event. Ropes of equal length support each tent pole. The angle the rope makes with the floor is 55°.
What is the height of each pole?
Enter your answer in the box. Round only your final answer to the nearest tenth.

6. What is the exact value of sin 60° ?
Enter your answer, as a simplified fraction, in the box.

Answers

Problem 1

cos(angle) = adjacent/hypotenuse
cos(18) = x/25
25*cos(18) = x
x = 25*cos(18)
x = 23.7764129073789
x = 23.78

Answer: x = 23.78

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

Problem 2

theta = greek letter that looks like a "zero" or the letter O with a horizontal line through it

With the reference angle of theta, the opposite side is 3. This side is the leg furthest from the angle theta. In contrast, the side 4 is the closest leg to theta. The longest side 5 is the hypotenuse. The hypotenuse is always the lonest side

sin(theta) = opposite/hypotenuse
sin(theta) = 3/5

cos(theta) = adjacent/hypotenuse
cos(theta) = 4/5

tan(theta) = opposite/adjacent
tan(theta) = 3/4

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

In summary:
sin(theta) = 3/5
cos(theta) = 4/5
tan(theta) = 3/4

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

Problem 3

cos(angle) = adjacent/hypotenuse
cos(x) = 15/29
x = arccos(15/29) .... inverse cosine or cos^(-1) also works
x = 58.852610078491
x = 58.85

Answer: x = 58.85

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

Problem 4

The rule we'll use is
sin(x) = cos(90-x)

sin(theta) = cos(90-theta)
cos(90-theta) = cos(58)
90 - theta = 58
90 - theta+theta = 58+theta
90 = 58+theta
90-58 = 58+theta-58
32 = theta
theta = 32

Answer: 32

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

Problem 5

x = height of pole

the vertical side is the side we want, which is the opposite side compared to the angle 55 degrees

sin(angle) = opposite/hypotenuse
sin(55) = x/25
25*sin(55) = x
x = 25*sin(55)
x = 20.4788011072248
x = 20.5

Each pole is roughly 20.5 feet tall.

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

Problem 6

The exact value is the fraction sqrt(3)/2 which can be written as $(√(3))/(2)$

"sqrt" is shorhand for "square root"

Answer: Took the test correct :)

Step-by-step explanation:Problem 1

cos(angle) = adjacent/hypotenuse

cos(18) = x/25

25*cos(18) = x

x = 25*cos(18)

x = 23.7764129073789

x = 23.78

Answer: x = 23.78

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

Problem 2

theta = greek letter that looks like a "zero" or the letter O with a horizontal line through it

With the reference angle of theta, the opposite side is 3. This side is the leg furthest from the angle theta. In contrast, the side 4 is the closest leg to theta. The longest side 5 is the hypotenuse. The hypotenuse is always the lonest side

sin(theta) = opposite/hypotenuse

sin(theta) = 3/5

cos(theta) = adjacent/hypotenuse

cos(theta) = 4/5

tan(theta) = opposite/adjacent

tan(theta) = 3/4

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

In summary:

sin(theta) = 3/5

cos(theta) = 4/5

tan(theta) = 3/4

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

Problem 3

cos(angle) = adjacent/hypotenuse

cos(x) = 15/29

x = arccos(15/29) .... inverse cosine or cos^(-1) also works

x = 58.852610078491

x = 58.85

Answer: x = 58.85

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

Problem 4

The rule we'll use is

sin(x) = cos(90-x)

sin(theta) = cos(90-theta)

cos(90-theta) = cos(58)

90 - theta = 58

90 - theta+theta = 58+theta

90 = 58+theta

90-58 = 58+theta-58

32 = theta

theta = 32

Answer: 32

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

Problem 5

x = height of pole

the vertical side is the side we want, which is the opposite side compared to the angle 55 degrees

sin(angle) = opposite/hypotenuse

sin(55) = x/25

25*sin(55) = x

x = 25*sin(55)

x = 20.4788011072248

x = 20.5

Each pole is roughly 20.5 feet tall.

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

Problem 6

The exact value is the fraction sqrt(3)/2 which can be written as \frac{\sqrt{3}}{2}

"sqrt" is shorhand for "square root"

Read more on Brainly.com - brainly.com/question/6282766#readmore

The blades of a windmill turn on an axis that is 30 feet from the ground. The blades are 10 feet long and complete 2 rotations every minute. Write a sine model, y = asin(bt) + k, for the height (in feet) of the end of one blade as a function of time t (in seconds). Assume the blade is pointing to the right when t=0 and that the windmill turns counterclockwise at a constant rate.

Answers

The sine model is y=10 sin(1/30 t) + 30. The 30 represents default distance from the ground, and the ten is required to represent the length of the blades. Every 30 seconds, one rotation completes, so t must be multiplied by 1/30.

The sine model for the height (in feet) of the end of one windmill blade as a function of time t (in seconds) is; y = 30sin(πt/15) + 30

How to solve Sine Functions?

The period of a sine function is represnted as;

b = 2π

This period is usually repeated after each 2π units.

The sine model is expressed as;

y = a(sin (bt)) + k

We are told that the blades are 10 feet long and complete 2 rotations every minute. Thus the period is;

b = (2π/60) * 2

b = π/15

The blades of a windmill turn on an axis that is 30 feet from the ground and the blades are 10 ft long. Thus,

k = 30 and a = 10

Plugging the relevant values into the given formula gives;

y = 30sin(πt/15) + 30

Thus, the sine model for the height (in feet) of the end of one windmill blade as a function of time t (in seconds) is;

y = 30sin(πt/15) + 30

Read more about sine functions at; brainly.com/question/9565966

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What do I do here? I forget. lol.Of the Comic books available at the comic book store, 42% are Marvel Comics, 23% are Special Edition Comics and 12% are Marvel and Special Edition Comics. A comic book will be selected randomly from the comic book store. What is the probability the comic will not be a Marvel Comic? What is the probability the selected comic will be a Special Edition given that it is a Marvel Comic? A.0.58 and 0.29 B. 0.58 and 0.23 C. 0.42 and 0.12 D. 0.23 and 0.42