Write an equation for the nth term of each geometric sequence:
5, 10, 20, 40,​

Answers

Answer 1

Answer:

a(n) = 5*2^(n-1)

Step-by-step explanation:

The nth term of a geometric series is given by the relation :

a(n) = ar^(n-1)

Where, a = first term ; r = common ratio ; a(n) = nth term of the series.

Given the series : 5, 10, 20, 40,​

First term, a = 5

Common ratio = a2/ a1 = a3/a2

Common ratio = 10/5 = 20/10

Common ratio = 2 = 2

Hence, nth term =

a(n) = 5*2^(n-1)


Related Questions

3 cm
8 cm
Find surface area of cylinder

Answers

Answer: [tex]66\pi \text{ cm}^{2[/tex]

Step-by-step explanation:

[tex]S=2\pi(8)(3)+2\pi(3)^{2}=\boxed{66\pi \text{ cm}^{2}}[/tex]

Umm can someone help me lol

Answers

Answer:

Answer is C

Step-by-step explanation:

WILL MARK YOU IF YOU HELP ME PLEASE!!

Answers

Answer:

84

Step-by-step explanation:

180-72-24

so the answers is 84

Answer:

84

Step-by-step explanation:

In all triangles, once the angles are added up the total will be 180° and so in this case first add then subtract.

72+24=96

180-96=84

1. Mars states that of the M&M's they produce for their regular bags of M&M's that 20% are
yellow, 20% are red, 10% are orange, 10% are blue, 10% are green, and the rest are brown
a. If you were to pick an M&M at random, what is the probability that:

i. It is brown?

It is yellow or orange?

It is NOT green?

Answers

Answer:

it is brown.

Step-by-step explanation:

100%-20%-20%-10%-10%-10%=30%

most=30%

Answer:

It is brown

it is not green

Step-by-step explanation:

100%-20%-20%-10%-10%-10%=30%

yellow = 20%

orange = 10%

green = 10%

so, it is brown and it is not green.

Draw and label the circle given by the equation (x - 5 + y + 10 = 6​

Answers

Answer:

See attachment for drawing

Step-by-step explanation:

Given

[tex](x -5)^2 + (y + 10)^2 = 6^2[/tex]

Required

Draw and label the circle

The equation of a circle is:

[tex](x -a)^2 + (y - b)^2 = r^2[/tex]

Where:

[tex]Center = (a,b)[/tex]

[tex]Radius = r[/tex]

So, we have:

[tex]Center = (5,-10)[/tex]

[tex]Radius = 6[/tex]

See attachment for drawing

Which expression gives the distance between the points (5, 1) and (9,-6)?
O A. (5-9)2 + (1+6)2
B. 16-9)2 + (1 - 6)?
C. (6-9)2 + (1 - 6)?
D. V65-9)2 + (1+6)

Answers

Answer:

The answer is C

c bottom left
ybkyktfvtfjrddkud

Answers

Answer:

hdisiejehe

Step-by-step explanation:

step sister

What is the length of DF?

Answers

Answer:

-DE+EF

Step-by-step explanation:

this is because DE is a negative vector because we are moving against the direction

MT is a diameter of OE. Calculate the measure of ZMTH.

A. 17°

B. 34°

C. 68°

D. 146

NEED HELP please, check the picture

Answers

Answer:

A. 17°

Step-by-step explanation:

Recall: measure of an inscribed angle = ½(intercepted arc)

Inscribed angle = m<MTH

Intercepted arc = arc MH = 34°

Therefore,

m<MTH = ½(Arc MH)

Substitute

m<MTH = ½(34)

m<MTH = 17°

(2x-7)/4=(x+3)/3

someone help me?

Answers

=

3

3

2

hope it's helpful for you

Answer:

x=33/2

Step-by-step explanation:

[tex]\frac{2x-7}{4}[/tex]=[tex]\frac{x+3}{3}[/tex]

do cross multiplication

4(x+3)=3(2x-7)

4x+12=6x-21

12+21=6x-4x

33=2x

33/2=x

sixteen less than z gives six.

Answers

Answer:

z = 22

Step-by-step explanation:

z - 16 = 6

z = 22

Hope this helped!

Algebra

z-16=6

z=22

what your problem in word form is saying is that sixteen less from z equals out to 6.

Mariana tried to drink a slushy as fast as she could. She drank the slushy at a rate of 4.5 milliliters per second. After 17 seconds, 148.5 milliliters of slushy remained.
How much slushy was originally in the cup?

Answers

9514 1404 393

Answer:

  225 mL

Step-by-step explanation:

The amount Mariana drank was ...

  (4.5 mL/s)×(17 s) = 76.5 mL

The original quantity is that amount added to the amount remaining:

  original amount = amount drunk + amount remaining

  = 76.5 mL +148.5 mL

  original amount = 225 mL

The spoke of a wheel is 15 inches long. What if the area enclosed by the tire?

Answers

Answer:

the radius is equal to 3.2ft

The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 2, 9), and goes through (1, 0). Which statement about the function is true? The domain of the function is all real numbers less than or equal to −2. The domain of the function is all real numbers less than or equal to 9. The range of the function is all real numbers less than or equal to −2. The range of the function is all real numbers less than or equal to 9.

Answers

Answer:

the range of the functions is all real numbers less than or equal to 9

The zeros of a function f(x) are 8 (double root) and -3 and the y-intercept is -768. Write the equation of f(x) in factored form.

Answers

9514 1404 393

Answer:

  f(x) = -4(x +3)(x -8)²

Step-by-step explanation:

Each zero (z) gives rise to a factor (x -z). The given zeros mean the factored form is ...

  f(x) = a(x -8)²(x +3)

The value of this at x=0 is ...

  f(0) = a(-8)²(3) = 192a

We want the value to be -768, so ...

  -768 = 192a

  -4 = a . . . . . . . . divide by the coefficient of 'a'

Then the factored form is ...

  f(x) = -4(x +3)(x -8)²

Which number is missing in the table of values below?

x
y
0
1
1
6
2
36
3
?
4
1,296
108
216
324
648

Answers

Answer:

216

Step-by-step explanation:

Correct on Edge

The solution is: 216,  is missing number in the table of values below.

What is an exponent in math?

An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.

Given :

x = 0 ,1 ,2 ,3 , 4

y = 1 ,6 ,36 ,? , 1296

As we can see that values of y :

y = 6^0 = 1

y = 6^1 = 6

y = 6^2 = 36

y = 6^3 = 1296

so y =216 , is the solution

so, we get, the values of y is exponent of 6 as the values of x, respectively.

The equation can be given for solving the question is y = 6^x

By putting given values of x we are getting values of y .

So for x =3 we are getting y = 216

Hence, 216,  is missing number in the table of values below.

To learn more on exponent number click:

brainly.com/question/19467739

#SPJ7

1. Brian's math test scorés: 86, 90, 93, 85, 79, 92, 20, 84
Mean:
Median:

Answers

Mean - 78.6
Median- 85.5

Find the slope of the line through each pair of points.
(4.-4). (14, -13)

Answers

Answer:

X2 -X1 / Y2 - Y1

Step-by-step explanation:

14- 4 / (-13) - (-4)

10/-9

please help me asap! please​

Answers

Answer:

65 degree

35 degree

90 degree

115 degree

80 degree

Step-by-step explanation:

geometry: HELPPPP PLSS!!

Answers

Answer:

A, C and G

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{9.4 cm}\underline{Trigonometric ratios} \\\\$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}[/tex]

From inspection of the given right triangle:

θ = 25°O = aA = bH = c

Substitute the values into the trigonometric ratios:

[tex]\implies \sf \sin(25^{\circ})=\dfrac{a}{c}[/tex]

[tex]\implies \sf \cos(25^{\circ})=\dfrac{b}{c}[/tex]

[tex]\implies \sf \tan(25^{\circ})=\dfrac{a}{b}[/tex]

[tex]\boxed{\begin{minipage}{4 cm}\underline{Trigonometric values} \\\\$\sin(90^{\circ}- \theta)=\cos \theta$\\$\cos(90^{\circ}- \theta)=\sin \theta$\\$\tan(90^{\circ}- \theta)=\cot \theta$\\\end{minipage}}[/tex]

Using trigonometric values and the calculated trigonometric ratios:

[tex]\begin{aligned} \sf \sin(90^{\circ}- 25^{\circ})&=\sf \cos (25^{\circ})\\\implies \sf \sin(65^{\circ}) &=\sf \dfrac{b}{c}\end{aligned}[/tex]

[tex]\begin{aligned} \sf \cos(90^{\circ}- 25^{\circ})&= \sf \sin(25^{\circ})\\\implies \sf \cos(65^{\circ}) &=\sf \dfrac{a}{c}\end{aligned}[/tex]

[tex]\begin{aligned}\sf \tan(90^{\circ}- 25^{\circ})&= \sf \cot(25^{\circ})\\\implies \sf \tan(65^{\circ}) &= \sf \dfrac{1}{\tan(25^{\circ})}\\\implies \sf \tan(65^{\circ}) & = \sf \dfrac{b}{a}\end{aligned}[/tex]

Therefore, the true equations are:

[tex]\sf A: \quad \cos(25^{\circ})=\dfrac{b}{c}[/tex]

[tex]\sf C: \quad \sin(65^{\circ})=\dfrac{b}{c}[/tex]

[tex]\sf G: \quad \sin(25^{\circ})=\cos(65^{\circ})[/tex]

Am I supposed to divide or add?

Answers

You need to divide 179.10 by 6

Answer:

Divide. The answer A is correct.

If you know how to solve this, Please answer it. Thank You

Please show your work and the steps.

The first one to answer the question right, will get Brainlist!

I PROMISE!!!!!​​​

Answers

The answer is in the picture. Click on it.

The point-slope form of the equation of the line that passes through (-9, -2) and (1, 3) is y - 3 = - (x - 1). What is
the slope-intercept form of the equation for this line?
O y= }x+2
0 y= -x-4
O y= }x+5
N
X-Z

Answers

The answer is the first one (y = - x + 2).

Explanation:

y - 3 = -(x - 1)
y - 3 = - x + 1
y = - x + 2

In ΔJKL, the measure of ∠L=90°, JL = 80, KJ = 89, and LK = 39. What is the value of the sine of ∠J to the nearest hundredth

Answers

Given:

In ΔJKL, m∠L=90°, JL = 80, KJ = 89, and LK = 39.

To find:

The value of sine of ∠J.

Solution:

In a right angle triangle,

[tex]\sin\theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]

In triangle JKL,

[tex]\sin J =\dfrac{LK}{KJ}[/tex]

[tex]\sin J =\dfrac{39}{89}[/tex]

[tex]\sin J =0.4382[/tex]

[tex]\sin J \approx 0.44[/tex]

Therefore, the value of sine of ∠J is about 0.44.

21 goats eat as much as 15 cows. How many goats eat as much as 35 cows?
41
37
49
38

pls help im being timed :(((

Answers

35 cows / 15 cows = 2.3333

21 goats x 2.333 = 49

The answer is 49

Answer:

Number of Goats = 49

Step-by-step explanation:

Let the number of goats be = x

 Goats          Cows

   21                15

    x                 35

[tex]\frac{21}{x} = \frac{15}{35}\\\\15 \times x = 21 \times 35\\\\x = \frac{21 \times 35}{15} = 7 \times 7 = 49[/tex]

49 goats eat as much as 35 cows.

Sylvia is twice as old as her brother. Find their ages now if in seven years her brother will be what her age was last year.

Answers

Answer:

sylvia is 14 and brother is 7

Step-by-step explanation:

theres a seven year difference, and sylvia is twice as old as him, so that means that sylvia is 14 and her brother is 7

please solve right now

Answers

Answer:

45 mph

251 ft

Step-by-step explanation:

[tex] s = \sqrt{30fl} [/tex]

a.)

[tex] s = \sqrt{30(0.85)(80)} [/tex]

[tex] s = \sqrt{2040} [/tex]

[tex] s = 45 [/tex]

Answer: 45 mph

b.)

[tex] 80 = \sqrt{30(0.85)l} [/tex]

[tex] 80^2 = (\sqrt{25.5l})^2 [/tex]

[tex] 25.5l = 6400 [/tex]

[tex] l = 251 [/tex]

Answer: 251 ft

What’s the answer ??

Answers

Step-by-step explanation:   6 3  12 12

Big Circle circumference is    C = 2π r1     r1 = OB  is set to x

and is 3 times larger than the Smaller Circle circumference  at  C = 2π   r2=OA

       C =  2π x         C/3 = 2π r2  

                     (2π x) / 3  = 2π r2

                               x/3  = r2

The circumference of the smaller in terms of x is

                      C = 2π (x/3)   which is the second answer

What is the surface area, in square centimeter, of the square pyramid?

Answers

Surface area = 56 cm2

Explanation:

Area of square base = Side x Side = 4 x 4 = 16 cm2

Area of triangle = 1/2 x Base x Height = 1/2 x 4 x 5 = 10 cm2
Area of 4 triangles = 10 x 4 = 40 cm2

Surface area of pyramid = 16 + 40 = 56 cm2

What is the missing number?
3
8
-2
7
4
5
1
10 12 3
The missing number is...

Answers

Answer:

9

Step-by-step explanation:

10-7=3

12-4=8

3-5=-2

9-1=8

Hope this helped :)

Other Questions
Umuhimu wa magazetiKatika maktaba which of the following is a solid consisting of a disc, a point not in the same plane as the disc, and all the points between them Would you advise the British to get rid of their monarchy? Why? Why not? If you use squares to approximate area,what do you use to approximate volume?1 rectangles2 cubes3 spheres4 circles what is the literal meaning of the poem "A Place Inside of Me" ? Suppose the downward sloping labor demand curve shifts rightward in a labor market with a single employer (monopsony). What happens to the equilibrium wage and level of employment in the market Please help will be marked as brainliest if correct Coca-Cola has a variety of strategic business units (SBUs) in its beverage business. Glaceau Vitamin Water is in a high-growth market due to customer trends away from carbonated beverages. However, Coca-Cola has a low market share of the bottled water segment. Thus, Glaceau Vitamin Water would be classified as a _______ according to the Boston Consulting Group model. Name two African Americans or Hispanic leaders in journalism from New Jersey Factor using sum and product: Lab: Kinetic EnergyIn Part I, the independent variable was . In Part II, the independent variable changed to . The dependent variable for both Part I and Part II was . Find x. Round to the nearest tenth. 7-cm 7-cm 10 cm x= [ ? ]cm How many measures of rest are in the example? circle sector type question with figure. Neptune was discovered because of ______ instead of observation The accuracy of a coin-counter machine is gauged to accept nickels with a mean diameter of millimeters 21.21 mm. A sample of 37 nickles was drawn from a reported defective coin-counter machine located near a school. The sample had a sample mean of 21.212 mm and sample standard deviation 0.01 mm.Test the claim that the mean nickel diameter accepted by this coin-counter machine is greater than 21.21 mm. Test at the 0.01 significance level.(a) Identify the correct alternative hypothesis Ha : > 21.21 < 21.21 = 21.21Give all answers correct to 4 decimal places.(b) The test statistic value is:(c) Using the Traditional method, the critical value is:(d) Based on your answers above, do you:Fail to reject H 0 Reject H 0(e) Explain your choice in the box below.(f) Based on your work above, choose one of the following conclusions of your test: There is sufficient evidence to warrant rejection of the claim There is not sufficient evidence to warrant rejection of the claim There is not sufficient evidence to support the claim The sample data supports the claim(g) Explain your choice in the box below. Charles's law describes the relationship of the volume and temperature ofgas at a constant mass and pressure. According to this law, what wouldhappen to the temperature of the gas if its volume decreased from 1.0 L to0.50 L?O A. The temperature would decrease by 500 K.O B. The temperature would double.O C. The temperature would be reduced by half.O D. The temperature would increase from 500 K to 1000 K. PLease help me answer this. Function h models an object's height in feet after x seconds have passed. Which equation shows that the object's height increased by 100 feet over the first 15-second period? A. h(15) 100 B. h(100) = 15 C. h(15) - h(0) = 100 [tex]d. \frac{h15 - h(0)}{15} = 100[/tex] Find the circumference of this circleusing 3 for T.C = ?