Two terms of a geometric sequence are given. Find the first five terms. Please help asap

Two Terms Of A Geometric Sequence Are Given. Find The First Five Terms. Please Help Asap

Answers

Answer 1

Answer:

4, 8, 16, 32, 64

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]

Given

a₇ = 256 and a₁₀ = 2048 , then

a₁ [tex]r^{6}[/tex] = 256 → (1)

a₁ [tex]r^{9}[/tex] = 2048 → (2)

Divide (2) by (1)

[tex]\frac{a_{1}r^{9} }{a_{1}r^{6} }[/tex] = [tex]\frac{2048}{256}[/tex]

r³ = 8 ( take the cube root of both sides )

r = [tex]\sqrt[3]{8}[/tex] = 2

Substitute r = 2 into (1)

a₁ × [tex]2^{6}[/tex] = 256

a₁ × 64 = 256 ( divide both sides by 64 )

a₁ = 4

Then

a₁ = 4

a₂ = 2a₁ = 2 × 4 = 8

a₃ = 2a₂ = 2 × 8 = 16

a₄ = 2a₃ = 2 × 16 = 32

a₅ = 2a₄ = 2 × 32 = 64


Related Questions

Please help!!! 20 points + brainliest!!
6 + (-47) =

Answers

Well, all we have to do is add, so:

6 + (-47) =

6 - 47 =

-41

Answer:

(-41)

Step-by-step explanation:

Subtract and write big numbers sign.

47 - 6= (-41)

Need help please will give you 5 stars and good rating

Answers

Answer:

two complex solutions

Step-by-step explanation:

2x^2 + 4x+4

Factor out 2

2( x^2+2x+2)

Using the discriminant on the inner term

b^2 -4ac  where a=1  b=2  c=2

2^2 -4 (1) (2)

4 - 8

-4

Since the  discriminant  is negative, we will have 2 complex solutions

Answer:

  2 complex solutions

Step-by-step explanation:

Given the standard form quadratic ...

  ax^2 +bx +c

The expression b^2-4ac is called the "discriminant." Its value can be used to predict the type of solutions. Here, we have ...

  a=2, b=4, c=4

so the discriminant is ...

  d = b^2 -4ac = 4^2 -4(2)(4) = -16

Because the discriminant is negative, we can predict there are 2 complex solutions.

__

The graph has no x-intercepts, confirming there are 2 complex solutions.

i need help now! Mr. Morris is going to save money and replace his sailboat's mainsail himself. He must determine the area of the mainsail in order to buy the correct amount of material. Calculate the area of the parallelogram to determine how much material should be purchased. Be sure to explain how to decompose this shape into rectangles and triangles. Describe their dimensions and show your work.

Answers

Answer:

i cant see a parrellogram!

please post a picture

PLEASE HELP! I'M TIMED
Which phrase represents this expression?

(62−42)×3


3 times the difference of 62 and 42

3 times the difference of 42 and 62

the difference of 62 and the product of 3 times 42

the difference of the product of 3 times 42 and 62

Answers

3times the difference of 62 and 42

Solving expression

[tex]\\ \rm\Rrightarrow (62-42)3[/tex]

[tex]\\ \rm\Rrightarrow 3(20)[/tex]

[tex]\\ \rm\Rrightarrow 60[/tex]

Answer:

3 times the difference of 62 and 42

Step-by-step explanation:

(62−42)×3

The difference of 62 and 42 times 3

PLSSS HELP I would appreciate it

Answers

Answer:

x = 12.6 degrees

Step-by-step explanation:

Using the property of alternate interior angles, we can say that m<A is equivalent to m<E.

m<A = m<E

63 = 5x

12.6 = x

So, x = 12.6 degrees

Cheers.

Alex has a block of wood that is in the shape of a prism with the dimensions shown. He cuts a 10-cm square hole through the center of the prism. What is the volume of the remaining solid?

Answers

Answer:

1,120

Step-by-step explanation:

Find the volume of the larger figure. This can be represented using the formula for volume.

V = lwh

V = 5*18*18

V = 1620

Now, find the volume of the cut out piece of the wood. We will subtract this from the larger block.

V  = lwh

V = 5*10*10

V = 500

Subtract, and you will have your answer.

1620 - 500 = 1,120

A ball is thrown vertically upward from the ground with an initial velocity of 111 ft/sec. Use the quadratic function h(t) = −16t2 + 111t + 0 to find how long it will take for the ball to reach its maximum height (in seconds), and then find the maximum height (in feet). (Round your answers to the nearest tenth.)

Answers

Answer:

t=3.5 seconds

Step-by-step explanation:

Given

h(t) = −16t^2 + 111t + 0

h'(t)= -32t + 111

Maximum height occurs when h(t) = 0 and the ball begins to fall

h(t)= -32t + 111=0

-32t + 111=0

-32t=-111

Divide both sides by -32

t=3.46872

Approximately, t=3.5 seconds

Recall,

Maximum height occurs when h(t) = 0

h(t)= -32t + 111=0

= -32(3.46872)+111

= -110.99904+111

= 0.00096 ft

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
In December, Doug's guitar store sold 10 acoustic guitars and 12 electric guitars. In January, they sold 13 acoustic guitars and 16 electric guitars. During which month did the guitar store sell a lower ratio of acoustic guitars to electric guitars?
A. not enough information
B. January
C. neither, the ratios are equivalent
D. December

Answers

Answer:

December

Step-by-step explanation:

December:  acoustic/ electric =10/12 = 5/6

January : 13/16

Get a common denominator of 48

5/6 *8/8 = 40/48 for December

13/16 * 3/3 =39/48 for January

December has a higher ratio

how to solve 2x(x+3)=2x^2+15

Answers

Answer: x = 5/2 = 2.5

Step-by-step explanation:

Given expression

2x (x + 3) = 2x² + 15

Expand parentheses and apply the distributive property

2x · x + 2x · 3 = 2x² + 15

2x² + 6x = 2x² + 15

Subtract 2x² on both sides

2x² + 6x - 2x² = 2x² + 15 - 2x²

6x = 15

Divide 6 on both sides

6x / 6 = 15 / 6

x = 15/6

[tex]\boxed{x=\frac{5}{2} }[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Step-by-step explanation:

2x^2 + 6x = 2x^2 + 15

2x^2-2x^2+6x=15

6x = 15

x= 5/2 when simplified

assume the initial velocity is 60 feet/second. what is the maximum horizontal distance possible and at what angle does this occur

Answers

Answer:

h = 112.5 feets

Step-by-step explanation:

The equation for horizontal distance "h" in feet of a projectile with initial velocity v₀ and initial angle theta is given by :

[tex]h=\dfrac{v_o^2}{16}\sin\theta\cos\theta[/tex]

We know that, [tex]2\sin\theta\cos\theta=\sin2\theta[/tex]

So,

[tex]h=\dfrac{v_o^2}{32}\sin2\theta[/tex]

Now we need to find the maximum horizontal distance possible and at what angle does this occur.

For maximum distance angle should be 45 degrees. Som,

[tex]h=\dfrac{60^2}{32}\sin2(45)\\\\h=112.5\ \text{feet}[/tex]

So, 112.5 feets is the maximum possible distance.

Which of the following numbers is between 0.08 and 0.4?
(A) 0.019
(B) 0.009
(C) 0.109
(D) 0.91
(E) 0.409

Answers

Answer:

C

Step-by-step explanation:

the numbers between 0.08 and 0.4 are:

0.09, 0.10, 0.11, 0.12, 0.13, 0.14, 0.15, .16, 0.17, 0.18, 0.19, 0.20, 0.21, 0.22, 0.23, 0.24, 0.25, 0.26, 0.27, 0.28, 0.29, 0.30, 0.31, 0.32, 0.33, 0.34, 0.35, 0.36, 0.37, 0.38, 0.39

I bolded the number closest to your answer choices, hope this helps!

m-m-1/2=1-m-2/3 ( will mark brainiest)

Answers

Answer:

Step-by-step explanation:

m= 1/2

this is answer ..........

hope it helps

pls mark my answer as the brainliest

Answer:

M = 5/6

Step-by-step explanation:

m-m-1/2=1-m-2/3

You combine like terms, in this case, the m-m and 1-2/3.

-1/2 = -m + 1/3

Now you need to isolate the m so you subtract 1/3 from both sides.

-1/3 - 1/2 = -m

Combine like terms again.

-5/6 = -m

But m needs to be positive so you divide both sides by -1.

m = 5/6

This should be the answer!

PLZ HELP I KINDA NEED THIS PLZ
Select the correct answer. The function f(x) = x2 is graphed above. Which of the graphs below represents the function g(x) = (x + 1)2?

A. W
B. X
C. Y
D. Z

Answers

Answer is : Z Explanation I just did it

Answer:

It's is C. Y

Step-by-step explanation:

There is the graph and you can see it by yourself :)

halp me children it's important​

Answers

Answer:

64 cm³

Does the answer help you?

Type the correct answer in the box. Use numerals instead of words.
Consider this expression.



When and , the value of the expression is

Answers

Answer:

-2, 6

Step-by-step explanation:

(x - 6)(x + 2) = 0

x - 6 = 0     x+ 2 = 0

  x = 6           x = -2  

The values of x that would result in the given expression being equal to 0, in order from least to greatest, are -2 and 6.

Type the correct answer in the box. Use numerals instead of words. The height of a baseball, in feet, is represented by this expression, where t is time in seconds. -16t squared+64t+3 The height of the baseball after 3.5 seconds is BLANK feet.

Answers

Answer:

31 Feets

Step-by-step explanation:

Given the expression for the height of a baseball:

Height(t) = -16t^2 +64t +3

Height in Feets ; time (t) in seconds

Height of baseball after 3.5 seconds :

Height(3.5) = -16(3.5)^2 + 64(3.5) + 3

Height = - 16(12.25) + 64(3.5) + 3

Height = - 196 + 224 + 3

Height = 31 Feets

Height after 3.5 seconds = 31 feets

A club has 16 members, included Mary and Peter. If two representative are
randomly selected from those members, find the probability that
(d) Mary or Peter is chosen.​

Answers

Answer:

12.5 percent; 2/16; 1/8

Step-by-step explanation:

Peter and Mary make up 2 of the clubs members, so the probability that they are chosen is 2/16. This simplifies to 1/8, and in decimal form is .125. Therefore, the percentage form of the probability they are chosen is 12.5 percent.

X=3816371/(27×63) solve for x

Answers

Answer:

X = 14,700

Step-by-step explanation:

you can use a calculator to get the x.

X=3816371/(27×63)

Last question.... please help

Answers

Answer:

B {-10 , -6 , 10}

Step-by-step explanation:

D= {-1 , 0 , 4}

When x = -1 ;

     y = 4x - 6

    y = 4*(-1) -6

       = -4 - 6

    y = -10

When x = 0,

                   y = 4 *0 -6

                   y = -6

When x = 4,

            y = 4*4 - 6

               = 16 - 6

              y = 10

Range = { -10, -6 , 10}

4x+5 ≤ 2x-3 is equivalent to

Answers

Answer:

x ≥ -4

Step-by-step explanation:

4x+5 ≤ 2x-3

Collect like terms

4x-2x ≤ -3-5

Simplify

2x ≤ -8

Divide both sides by 2

2x / 2 ≤ -8 / 2

x ≥ -4

The supply station donated 115 notebooks to mrs.Michale to give to her class there are 28 students in her class mrs.Michale gives each student the same number of notebooks how many notebooks does she give each student

Answers

Answer:

4.107

Step-by-step explanation:

115/28=4.107

The image below shows two dilated figures with lines IJ and JK drawn. If the smaller figure was dilated by a scale factor of 2, what relationship do lines IJ and KL have?

Answers

Answer:

IJ = 2*KL

Step-by-step explanation:

Given that the smaller figure was dilated to create the bigger figure with a scale factor of 2, it therefore means, the dimensions of the smaller figure was increased by times 2 of its dimensions to create the bigger figure.

Thus, the relationship that would exist between line IJ and KL, is that IJ is twice the size of KL.

The relationship is: IJ = 2*KL

In the triangle shown below, find the value of a given that b
53V2

Answers

Answer:

a=53

Step-by-step explanation:

[tex] \sin(45) = \frac{a}{53 \sqrt{2} } \\ \frac{ \sqrt{2} }{2} = \frac{a}{53 \sqrt{2} } \\ a = 53[/tex]

I hope I helped you^_^

Answer:

a = 53

Step-by-step explanation:

This is a 45- 45- 90 triangle with sides in the ratio x : x : x[tex]\sqrt{2}[/tex]

x are the legs and x[tex]\sqrt{2}[/tex] the hypotenuse

Here x[tex]\sqrt{2}[/tex] = 53[tex]\sqrt{2}[/tex] , then x = 53

That is the leg a = 53

A group of 13 friends all want to ride a roller coaster. The coaster seats 15 in a single file row from front to back. How many ways can they arrange themselves?

Answers

Answer:

Step-by-step explanation:

Betsy's high school is putting on a production of a play as a fundraiser for the school's music programs. A local bank has agreed to allow the school to use a line of credit from which they can withdraw money to pay for the play. Then, any deposits they make at the bank will be applied to the negative balance of the credit account. The play cost $3,200.00 to produce, and they intend to sell tickets for $10 each. After the play, Betsy will take the ticket proceeds and deposit them with the bank. If 1,007 people attend the play's opening night, what will the balance of the bank account be?

Answers

Answer:

Hey there!

If 1007 people attend, they will make a profit of 10070 dollars.

The play costed 3200 dollars to produce, so we have -3200+10070=7500 dollars as the final balance of the bank account.

Let me know if this helps :)

Answer:

Step-by-step explanation:

the correct answer is 6,870 it was d for me it might be different :)

-

simplfy the given equation using the distributive property 5x + 2(x - 3) = -2(x - 1)

Answers

Answer:

     x = [tex]\frac{8}{9}[/tex]

Step-by-step explanation:

5x + 2 (x - 3) = -2 (x - 1)

  5x + 2x - 6 = -2x +2

5x + 2x + 2x = 2 + 6

               9x = 8

                 x = [tex]\frac{8}{9}[/tex]

Answer:

The value of x in the given equation is 0.89

Step-by-step explanation:

5x + 2(x - 3) = -2(x - 1)

Distribute 2 to (x - 3)

5x + 2x - 6 = -2(x - 1)

Distribute 2 to (x - 1)

5x + 2x - 6 = -2x + 2

Combine 5x and 2x on the left side of the equation.

7x - 6 = -2x + 2

Add 6 on both side of the equation.

7x = -2x + 8

Add 2x on both sides of the equation.

9x = 8

Now divide 9 from 8. Make sure you round the decimal because the quotient of these numbers is a repeating decimal.

x = 0.89

So, the value of x is 0.89

ASAP PLEASE GIVE CORRECT ANSWER
In a rectangular coordinate system, what is the number of units in the distance from the origin to the point $(-15, 8)$? Enter your answer

Answers

distance of a point [tex](x,y)[/tex] from origin is $\sqrt{x^2+y^2}$

so distance is $\sqrt{(-15)^2+(8)^2}=\sqrt{225+64}=\sqrt{289}=17$

Answer:

Distance=17 units

Step-by-step explanation:

Coordinates of the origin: (0, 0)

Coordinates of the point in question: (-15, 8)

Distance formula for any two points [tex](x_1,y_1), (x_2,y_2)[/tex] on the plane:

[tex]distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\distance=\sqrt{(-15-0)^2+(8-0)^2}\\distance=\sqrt{(15)^2+(8)^2}\\distance=\sqrt{225+64} \\distance=\sqrt{289} \\distance=17[/tex]

HELP ME!!!!And I mark as BRAINLIEST✨✨make sure show proper working

Answers

Answer:

54 km/h

Step-by-step explanation:

From H to G:

Let the distance be x km.

Average speed = distance/time

60 = x/ 3

60*3 = x

x = 180 km

From G to F:

Let the distance be y km.

Average speed = distance/time

45 = y/2

45*2 = y

y = 90 km

From H to F:

Total distance = x + y = 180 + 90 = 270 km

Total time = 3 + 2 = 5 hours

Average speed from H to F

= Total distance/ total time

= 270/ 5

= 54 km/h

Josh has an aquarium 30 inches deep it takes him 5 minutes to fill the bucket with 3 inches of water he estimates that it will take him under an hour to fill the entire bucket with water if you correct explain why or why not

Answers

I assume your question should be rephrased as "Josh has a bucket 30 inches deep..."

Josh is correct in estimating that it will take him under an hour to fill the entire bucket with water.

Given:

The bucket is 30 inches deepIt takes Josh 5 minutes to fill the bucket with 3 inches of water

To find: If Josh is correct in estimating that it will take him under an hour to fill the entire bucket with water

It is given that, to fill the bucket with 3 inches of water, it takes Josh 5 minutes.

Using Unitary method, we can say that, to fill the bucket with 1 inch of water, it takes Josh [tex]\frac{5}{3}[/tex] minutes.

Then, to fill the bucket with 30 inches of water, it takes Josh [tex]\frac{5}{3} \times 30[/tex] minutes.

Solving, we can say that it takes Josh 50 minutes to fill the bucket with 30 inches of water.

Since the bucket is 30 inches deep, we can say that it takes Josh, 50 minutes to fill the entire bucket, which is just under an hour.

So, Josh is correct in assuming that it will take him under an hour to fill the entire bucket with water.

Learn more about Unitary method here:

https://brainly.com/question/12470900

un automóvil recorre 90 km con 2 galones de gasolina cuantos kilómetros recorre con 11 galones de gasolina y cuantos galones de gasolina necesita para recorrer 650 km

Answers

Answer:

Recorrera 495 km con 11 galones de gasolina

Y necesitara 14.44 galones para recorrer 650 km

Step-by-step explanation:

k          g                                                                  k             g

90         2                                                                 90           2

x            11                                                                650         x

=(11 x 90)/2                                                              =(650x2)/90

=990/2                                                                    =1300/90

=495 km                                                                 =14.44

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