The first three terms of a geometric sequence are as follows.
-10, -30, -90
Find the next two terms of this sequence.
Give exact values (not decimal approximations)

Answers

Answer 1

Answer:

-270,810

Step-by-step explanation:

c.r.  r=-30/-10=3

[tex]a_{n} =a_{1}r^{n-1} \\a_{4}=-10(3)^{4-1}\\=-10(3)^3=-10 \times 27=-270\\a_{5}=-10 \times(3)^{5-1}\\=10 \times3^4\\=-810[/tex]


Related Questions

PLEASE HELP DUE RIGHT NOW!!!

Answers

Answer:

linear

Step-by-step explanation:

The equation of a line is given below.
2x + 5y = -5
Find the slope and the y-intercept.
Then use them to graph the line.

Answers

Answer:

y=-2/5x-1

Step-by-step explanation:

2x+5y=-5

Step 1: Add-2x to both sides.

2x+5y=-5

+-2 +-2

5y=-2x-5

Step 2: Divide both sides by 5.

5y ÷ 5 = -2x-5÷5

y=-2/5x-1

Out of 250 million cars on the road in US, about 3.5% are diesel. What percentage are not diesel?

Answers

Answer:

96.5%

Step-by-step explanation:

Answer:

241250000 cars aren't diesel (Basically 96.5%)

Step-by-step explanation:

250 million = 250000000

If we are talking about the percentage of cars that aren't diesel, we have two ways of solving this. (I'm gonna solve for not just percentage but for amount too)

1. Find out the percentage that isn't diesel by subtracting 3.5% from 100% and then multiplying the answer to get the result.

or

2. We find out what 3.5% of 250 million is and then subtract that from 250 million

Now to make this short, I will do the first one.

100-3.5 = 96.5

96.5% x 250,000,000 = 241250000

50 POINTS FOR EACH PERSON PLSSSSS HELP!!!!!

∫[tex]x^{\frac{3}{2} }[/tex]㏑(x) dx

Answers

Answer:

Look at images below ^^

Step-by-step explanation:

I'm not sure if they are correct, since I'm not there yet. But I hope it's correct.

Amy was scheduled for 12 intervals this week. One her first interval, she had a technical issue that prevented her from working for 15 minutes. This issue was reported to a diagnosed by Arise Technical Support, in which they issued an individual Waiver. Amy also looked at her schedule wrong, and computer missed three intervals in a row. What was her CA%

Answers

Based on the total of intervals vs the number of intervals Amy attended her CA percentage is 75%

What is the CA percentage?

The CA percentage measures the commitment of an employee to be logged in during the intervals that were assigned to him/her to work.

In this way, the CA percentage is equal to 100% if the employee worked as scheduled. Moreover, this percentage can be affected by factors such as:

Technical issues.Human errors.

In the case of Amy, there is a total of 12 intervals and it is known:

She had a technical issue that prevented her from working, but this was reported so it is unlikely this is considered in her CA.She missed three intervals because she looked at her schedule wrong.

Based on this information, let's calculate her CA:

12 intervals = 100%9 intervals =  x

x = 9 x 100 / 12x = 900 / 12x = 75%

Learn more about percentage in: https://brainly.com/question/8011401

Shown is a pentagon, with the size of
each angle shown. Work out the largest angle.

Answers

Answer:

160°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5 , then

sum = 180° × 3 = 540°

sum the interior angles and equate to 540

x + 10 + 2x + 10 + x + 10 + 2x+ x + 20 = 540 , that is

7x + 50 = 540 ( subtract 50 from both sides )

7x = 490 ( divide both sides by 7 )

x = 70

Then

largest angle = 2x + 10 = 2(70) + 10 = 140 + 10 = 150°

The solution is  : the largest angle is 150°.

What is the polygon?

A polygon is a two-dimensional geometric figure that has a finite number of sides. The sides of a polygon are made of straight line segments connected to each other end to end. Thus, the line segments of a polygon are called sides or edges.

here, we have,

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5 , then

sum = 180° × 3 = 540°

sum the interior angles and equate to 540

x + 10 + 2x + 10 + x + 10 + 2x+ x + 20 = 540 , that is

7x + 50 = 540 ( subtract 50 from both sides )

7x = 490 ( divide both sides by 7 )

x = 70

Then

largest angle = 2x + 10

                      = 2(70) + 10

                      = 140 + 10

                      = 150°

Hence, The solution is  : the largest angle is 150°.

To learn more on polygon click:

brainly.com/question/24464711

#SPJ2


An elevator company claims "for every 15 inches of cable, we can hold up to 32 pounds". Each elevator comes with a standard length of 18 inches for their cable. If an elevator has a
weight limit of 800 lbs, how many additional inches of cable were used?

Answers

375 inches of cable were used for an elevator with weight limit of 800 lbs

Let y represent the weight in pounds and x represent the inches of cable.

Since y and x are proportional:

y = kx,

k is the constant of proportionality.

15 inches of cable, we can hold up to 32 pounds. Hence:

32 = 15k

k = 2.13 pounds per inch

y = 2.13x

For a weight of 800 lbs, y= 800:

800 = 2.13x

x = 375 inches

375 inches of cable were used for an elevator with weight limit of 800 lbs

Find out more on equation at: https://brainly.com/question/2972832


(g, 6) and (-5, -9)

Slope = 3/2

Answers

Answer:

g=5

Step-by-step explanation:

(-9)-(6) / (-5)-(g) = 3/2

3 x -(g+5) = 2 x -15

g+5=10

g=5

Answer:

g=15

Step-by-step explanation:

we first can substitute in (-5,-9) into the x and y variables in y=mx+b as well as the slope:

so we get:

-9=3/2(-5)+b

now lets solve for b:

3/2 x -5 = -15/2

-9=-15/2+b

now add the -15/2 on both sides of the eqaution:

b=-33/2

now lets substitute it back in:

y=3/2x-33/2

NOW lol substitute the 6 in to find g:

6=3/2g-33/2

solve from here to get

45/2=3/2g

multiply by 2 on each side

45=3g

divide both sides by 3:

g=15!!!!!!!!!!!!!!

I hope this helped sry it took long lol

A certain music club charges an annual membership fee of $99, in return, its members will be able to buy and download songs at a very low cost of 10 cents each. If Tyna spent a total of $149.30 including the membership fee, how many songs did she buy?

A) 99+10x=149.30
B) 99-10x=149.30
C) 99-0.1x=149.30
D) 0.1x+99=149.30

Answers

Answer:

D). 0.1x+99=149.30

How many songs Tyna Bought:

503 songs

Step-by-step explanation:

Since the membership fee is 99 you don't have to pay for it again

(Until next year that is)

Now it states that every download cost 10 cents or $0.1

So we don't know how many she will buy so we can replace that unknown value with x

So the equation is

0.1x+99=149.30

To solve this you first subtract 99 on both sides:

Which will result in

0.1x=50.3

Divide 0.1 on both sides

So Tyna bought 503 songs

(HOLY THAT IS A LOT OF SONGS)

Hope this Helps!

Complete the table of values for
1
0
1
1
1
1
1) On the writ, draw the graph of
12
1
0
(0) Use your graph to find
(1)
the value of when x 1.5
(b) the value of x when y6
26
6

Answers

Answer:

can't see the pic properly

Don't answer this question

Answers

Answer:

Ok

Step-by-step explanation:

if EF = 8x + 16, FG = 60, and eg = 156, find the value of x​

Answers

Answer:

10

Step-by-step explanation:

8x+16+60=156

8x+76=156

8x=80

x=10

6) Solve
5x < -10
AX <-2
B) x>-2
CXC-15
D) x < -50

Answers

Hey there!

5x < -10

DIVIDE 5 to BOTH SIDES

5x/5 < -10/5

CANCEL out: 5/5 because it gives you 1

KEEP: -10/5 because it helps solve for the x-value

NEW EQUATION: x < -10/5

SIMPLIFY IT!

x < -2

It is an OPEN circle shaded to the RIGHT

Therefore, your answer should be:

Option A. x < -2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Help help math math math

Answers

Answer:

10

Step-by-step explanation:

substitute -8 into x.

f(-8)=-8+18=10

Answer:

10

Step-by-step explanation:

1. Divide
(7x2 - 13x+4) - (x-1
)

Answers

Answer:7 x 2 − 14 x + 5

Step-by-step explanation:

1 In general, given a{x}^{2}+bx+cax  

2

+bx+c, the factored form is:

a(x-\frac{-b+\sqrt{{b}^{2}-4ac}}{2a})(x-\frac{-b-\sqrt{{b}^{2}-4ac}}{2a})

a(x−  

2a

−b+  

b  

2

−4ac

 

)(x−  

2a

−b−  

b  

2

−4ac

 

)

2 In this case, a=7a=7, b=-14b=−14 and c=5c=5.

7(x-\frac{14+\sqrt{{(-14)}^{2}-4\times 7\times 5}}{2\times 7})(x-\frac{14-\sqrt{{(-14)}^{2}-4\times 7\times 5}}{2\times 7})

7(x−  

2×7

14+  

(−14)  

2

−4×7×5

 

)(x−  

2×7

14−  

(−14)  

2

−4×7×5

 

)

3 Simplify.

7(x-\frac{14+2\sqrt{14}}{14})(x-\frac{14-2\sqrt{14}}{14})

7(x−  

14

14+2  

14

 

)(x−  

14

14−2  

14

 

)

4 Factor out the common term 22.

7(x-\frac{2(7+\sqrt{14})}{14})(x-\frac{14-2\sqrt{14}}{14})

7(x−  

14

2(7+  

14

)

)(x−  

14

14−2  

14

 

)

5 Simplify  \frac{2(7+\sqrt{14})}{14}  

14

2(7+  

14

)

  to  \frac{7+\sqrt{14}}{7}  

7

7+  

14

 

.

7(x-\frac{7+\sqrt{14}}{7})(x-\frac{14-2\sqrt{14}}{14})

7(x−  

7

7+  

14

 

)(x−  

14

14−2  

14

 

)

6 Simplify  \frac{7+\sqrt{14}}{7}  

7

7+  

14

 

  to  1+\frac{\sqrt{14}}{7}1+  

7

14

 

.

7(x-(1+\frac{\sqrt{14}}{7}))(x-\frac{14-2\sqrt{14}}{14})

7(x−(1+  

7

14

 

))(x−  

14

14−2  

14

 

)

7 Remove parentheses.

7(x-1-\frac{\sqrt{14}}{7})(x-\frac{14-2\sqrt{14}}{14})

7(x−1−  

7

14

 

)(x−  

14

14−2  

14

 

)

8 Factor out the common term 22.

7(x-1-\frac{\sqrt{14}}{7})(x-\frac{2(7-\sqrt{14})}{14})

7(x−1−  

7

14

 

)(x−  

14

2(7−  

14

)

)

9 Simplify  \frac{2(7-\sqrt{14})}{14}  

14

2(7−  

14

)

  to  \frac{7-\sqrt{14}}{7}  

7

7−  

14

 

.

7(x-1-\frac{\sqrt{14}}{7})(x-\frac{7-\sqrt{14}}{7})

7(x−1−  

7

14

 

)(x−  

7

7−  

14

 

)

10 Simplify  \frac{7-\sqrt{14}}{7}  

7 7−  14  to  1-\frac{\sqrt{14}}{7}1−  7 14

7(x-1-\frac{\sqrt{14}}{7})(x-(1-\frac{\sqrt{14}}{7}))

7(x−1−  7 /14 )(x−(1−  7 14 )) 11 Remove parentheses.

7(x-1-\frac{\sqrt{14}}{7})(x-1+\frac{\sqrt{14}}{7})

7(x−1−  7/ 14 .7(x−1+ 7 14 )

a cookie recipe included 2/3 cups of sugar for 12 cookies, how many cups of sugar will you need if you wanted to make 42 cookies

Answers

Answer:10/6 cups of sugar is the answer to this equation being the correct answer.

Step-by-step explanation:

What is the "theoretical yield" of cookies from each of the "reactants?"

Captain Brewster captured a pack of aliens. The following data points represent the lengths of each of the aliens' big toes (in centimeters). 18, 16, 17, 17, 16, 15, 16. Using this date, create a dot plot where each dot represents a big toe.

Answers

Answer:

15 ·

16 ···

17 ··

18 ·

19

Step-by-step explanation:

There were 2 aliens that each have big toes measuring 17 cm long. So, the 17 would have 2 dots above it:

17 ··

5. Linda earns $95 per day. If she works of a day, how much will she earn?

Answers

Answer:

95 Dollars

Step-by-step explanation:

95 dollars because she earns 95$ per day and it says "of a day" so it would have to be 95*1, and 95*1 is 95 and it asks how much she earns as in money so it is 95 dollars.

Which model shows the greater rate of change​

Answers

Answer:

Model B

Step-by-step explanation:

In Model A as x increases by 2 y decreases by 1. So as x increases by 1 y decreases by 0.5 giving us a rate of change of -0.5

In Model B we have a slope of 2/3 (because as x inreases 2 times y increases 3 times)

-0.5 < 2/3

Which inequality does the graph represent?

Answers

Answer:

x < -y + 1

Step-by-step explanation:

If f(x) = 2x2 + 3x and g(x) = x 2- 7, find (f +g)(x)

Answers

Answer:

3x²+3x-7

Step-by-step explanation:

(f+g)(x)=2x²+x²+3x-7

=3x²+3x-7

Find the following:

sin A
cos A
tan A
cot A
sec A
csc A

Answers

Step-by-step explanation:

we use the law of sine :

sin(A)/a = sin(B)/b = sin(C)/c

with the related angles being opposite of the lines.

so, we have

sin(A)/1 = sin(A) = sin(90)/ sqrt(10) = 1/ sqrt(10) =

= 0.316227766...

cos²(A) + sin²(A) = 1

cos(A) = sqrt(1 - sin²(A)) = sqrt(1 - 0.1)) = sqrt(0.9) =

= 0.948683298...

tan(A) = sin(A)/cos(A) = 0.333333333...

cot(A) = 1/tan(A) = 3

sec(A) = 1/cos(A) = 1.054092553...

csc(A) = 1/sin(A) = 3.16227766...

Can someone check my answer?? PLEASE-

The length of a rectangle is six more than the width. If the perimeter of the rectangle is 40 ft, find the length of the rectangle.

A. 13 ft (what I think) ****

B. 7 ft

C. 23 ft

D. 17 ft

Answers

Answer:

the length of the rectangle is 13 ft.

Step-by-step explanation:

width of a rectangle x ft

length of a rectangle x+6 ft

the perimeter of the rectangle is 40 ft,

2(x+x+6) = 40

2x+6 = 20

2x = 14

x = 7

So the length of the rectangle is x+6 = 7+6 = 13 ft

congrats you're right (≧▽≦)!!

Answer:

The correct answer ia A)13 ft

Step-by-step explanation:

hope this helps

PLSSS help now!!!!!! Will mark Brainlyest !!!

Answers

the answer is (-7,-4) is your answer

Hope this helps :)

Answer:

  (7, -4)

Step-by-step explanation:

Rotation 180° causes both coordinates to change sign. It is the same as reflection across the origin, or  reflection across both the x- and y-axes.

The image point is (7, -4).

84/120 equivalent fraction

Answers

Answer:

7/10

this should work

Step-by-step explanation:

you went to a coffee house with 2 friends and ordered an iced coffee and dessert which came to $12.96 how much is the tip if the rate is 15%

Answers

Answer:

its 1.944

Step-by-step explanation:

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. The formula used to calculate percentage is: (value/total value)×100%.

The ratio of the number of cups of red paint to the number of cups of yellow paint that Garcia mixed to make a shade of orange paint is 4:1.

Part A: Write a sentence to describe the number of cups of red paint that Garcia mixed with each cup of yellow paint. (4 points)

Part B: How many cups of yellow paint should Garcia add to each cup of red paint to make the shade of orange? Explain your reasoning. (4 points)

Part C: If Garcia purchased 6 cups of red paint for $42, what is the unit price per cup of red paint? (2 points)



Pls answer i need help

Answers

Answer:

Uggghhh

Step-by-step explanation:

I dont know

Answer:

Part A: Garcia mixed 4 cups of red with 1 cup of yellow.

Part B: 1/4 because 4 cups of red requires 1 cup of yellow, so 1 divided by 4 is 1/4.

Part C: $7

Hope this helps! :)

Step-by-step explanation:

A small toy rocket is launched from a 24-foot pad. The height (h, in feet) of the rocket t seconds after
taking off is given by the formula
h = - 2t^2+ 2t + 24.
How long will it take the rocket to hit the
ground?

Answers

Answer:

4 seconds

Step-by-step explanation:

Since we want to know the time when the height is 0, we can rewrite the problem as [tex]0=-2t^2+2t+24[/tex]. From there, we can plug it into the quadratic formula, which gives us [tex]\frac{-2-\sqrt{4-4(-2)(24)} }{2(-2)}[/tex](Since it's a real-world problem and we have a negative denominator, we won't be using the positive square root). We simplify this to get [tex]\frac{-2-\sqrt{196} }{-4}[/tex], then [tex]\frac{-2-14}{-4}[/tex]. Finally, we can calculate this to be 4 seconds.

The set-up cost for a machine that attaches snaps on clothing is $1,100. After set-up,
it costs $0.12 for each snap to be attached. A newer machine has come out that has
a set-up cost of $1,520. With the new machine, it only costs $0.09 for each snap to
be attached. How many snaps would the company have to attach to make the
purchase of the newer machine worthwhile?

Answers

Answer:

14,001

Step-by-step explanation:

old machine: 1,100+.12x

new machine: 1,520+.09x

if you plug in 14,000 for x, you get

old machine: 2,780

new machine: 2,780

therefore, you need 1 over 14,000 for it to be worth it because

if you plug in 14,001 for x, you get

old machine: 2,780.12

new machine: 2,780.09

which makes the new machine $.03 cheaper at this point (and the more snaps attached, the more the new machine will be worth it)

hope this helps!

Help help math math math

Answers

Answer:

10000

Step-by-step explanation:

you have four digits and each one of them can be 0-9, so 10 possibilities for each digit

10×10×10×10= 10,000

Answer:

160

Step-by-step explanation:

I believe the answer is 160 because it is a four-digit passcode, and 10 different numbers can be used ( 10 * 4 = 40, and 40 * 4 = 160).

Other Questions
Question 1A truck driver drove 48 miles in 45 minutes. At this rate, how many miles can the truck driver drive in one hour?__ miles in one hourpls no links ty I need you to change the wording the best you can 100 pointsTo survive is to continue to live or exist, typically in spite of an accident, ordeal, ordifficult circumstances. To survive, individuals must sometimes change and adapt to theirenvironment. Survival is one of the main themes in the novel A Long Walk to Water by LindaSue Park. The main characters, Nya and Salva, both experience difficult circumstances. In thenovel, Park uses the stories of the two main characters to show the mental, emotional, andphysical challenges that occur when struggling to survive.In the novel, A Long Walk to Water, one of the main characters, Salva, was forced toleave his home due to the Sudanese Civil War. He went on a difficult journey through the deserton his way to a refugee camp. On his journey, he faced challenges such as limited food andwater, hungry lions, and losing people close to him. Despite the many obstacles Salva faced, hekept going. Park writes, Salva would think of his family and his village, and he was somehowable to keep his wounded feet moving forward, one painful step at a time (Park 54). This quoteshows how Salva managed to survive his challenging circumstances and physical pain by stayingpositive and focusing on what was important to him.The other main character, Nya, also had to face struggles while trying to survive inSouthern Sudan. Nya had to walk many hours each day to get water for her and her family. Thewater she collected was not always clean and safe which caused her family members to becomesick. Seeing her sister fighting for her life because of dirty water became an additional emotionalLast Name 1challenge for Nya. Her long and tiring journey to get this water became a part of her dailyroutine, and it became a necessary part of survival. Park writes Nya would now make hersecond trip to the pond. To the pond and back -- to the pond and back -- nearly a full day ofwalking altogether. This was Nyas daily routine seven months of the year. Daily. Every singleday (Park 20). This quote shows how the struggle to survive became a part of Nyas everydaylife. She was forced to adapt her daily routine to make time to collect the water necessary for herand her familys survival.The struggle to survive and adapt to changing circumstances is something that impactsmany people. In the novel, Salva has a close relationship with his uncle. His uncle acts as aleader to Salva and their entire group. He acts as a support system and helps Salva throughdifficult moments. When he eventually passed away this caused Salva great pain, but he waseventually able to become a leader and help others the way his uncle had. I can relate to Salvasexperience of losing his uncle. When I was younger, I had a close relationship with mygrandmother. She acted as a leader and support system for me and my little sister. She was theglue that held our family together. When she passed away, I was devastated. I did not know whatto do, just like Salva. Eventually, after a lot of time, I was able to heal and work on becoming aleader and support system for my little sister just like my grandmother was to me. Salva realizedthat he needed to help others the way his uncle had helped him, and I realized that I needed tolove and support my sister the way my grandmother had done for me.To survive is to make changes and adapt to the environment around you. Salva wasforced to adapt to life without his uncle and to become a leader for his people. Nya was forced toadapt her daily routine to make time for the long walk to get water each day. Even when lifepresents people with challenges, they must continue to live and exist in their changing world.Last Name 1This is something I and many have faced. For me, it was losing someone close to me but life canpresent challenges in many forms. All you can do is keep moving forward. HEY I HOPE U ARE DOING WELL COULD SOMEONE PLEASE TELL ME IF I CLICK THE RIGHT AWSNER PLEASE IT WOULD BE GREAT IF U CAN HELP ASAP :) which was the first cooperative of nepal Which sentence most clearly contains an allusion?O A. The dog thought the racoon had run up the oak, but Fido wasbarking up the wrong tree.B. My friend managed to finish all his homework during lunch hourlike some kind of Merlin.C. I had so many customers nagging me at work today, I almost hadto scream with joy.D. 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Find the value of X Expressed as a percentage, how many more avocados does the city of phoenix consume per year compared to denver? annual avocado consumption by city (in millions). A rock is thrown straight up from the surface of earth. Neglecting air resistance, which one of the following statements describes the energy transformation of the rock as it rises?. 1. Los nios...fueron a jugar al parque.fue a jugar al parque.fuimos a jugar al parque. BRAINLIEST Do one of the above and show your work Sarah rolls 2 fair dice and adds the results from each. Work out the probability of getting a total of 2. How does natural selection change the frequency of genes or traits over many generations? Biology students conducted an experiment mimicking genetic variation and coloration. Students used different colored beans to represent animals that might be prey: mice, for example. A student in each group was the predator: a hawk. 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Using the student data analyze the effects of these mutations on natural selection.A) The color mutations provided a survival advantage to these two populations of mice.B) The advantage of the mutations is dependent on the environment and external conditions.C) While mutations provide genetic variation they did not play a role in natural selection.D) The speckled mutation provided an advantage while the black mutation was a disadvantage for survival.Answer:D) The speckled mutation provided an advantage while the black mutation was a disadvantage for survival. How many joules of energy does a 100-watt light bulb use per hour? How fast would a 70-kg person have to run to have that amount of kinetic energy?