If r = 2 and a6 = 96 find the first term of geometric sequence.

Answers

Answer 1

Answer:

3

Step-by-step explanation:

If r=2, that means that each term in the geometric sequence is multiplied by 2.

So, if r=2, and the sixth term in the sequence is 96, then simply divide by 2 until you get to the first term.

Which is 3.


Related Questions

Which box plot matches the date set 34,36,41,45,49,50,51,52,56,59

Answers

Answer:

D

Step-by-step explanation:

The box has to go from the first to the third quartile and that one does and c isn't correct because the line isn't at the median.

A single die is rolled. Find the odds in favor of rolling a number greater than 3.

Answers

Answer:

6:3

Step-by-step explanation:

Answer and Step-by-step explanation:

3 of the options are not to be chosen, and 3 are wanted.

That means that anything above 3 (so, 4, 5, or 6) are the numbers that are wanted, while the numbers 1, 2, and 3 are not wanted.

We have 6 total options.

The ration would be:

3:6, or 3 to 6. This reduces down to 1:2, or 1 to 2.

That means that there is a 50% chance of getting 4, 5, or 6.

#teamtrees #PAW (Plant And Water)

Let's play Cooking Diary! Together we'll rock the culinary world! https://social-cd.mytonagames.com/4gx9R8​

Answers

Betttttttttttttttttttttt

Pls help I don’t know hot to multiply the last part 8 2

Answers

Answer:

8^2 = 64

Step-by-step explanation:

Hi! Okay, let's get started!

[tex]8^{2}[/tex] is what you need help with right?

So, that equals to 8 x 8.

8 x 8 = 64, so it would be 64

Hope that helps!

-Aphrodite :)

You spin a spinner that is equally divided into 5 parts, and then you spin it again. 1 part is pink, 2 parts are blue, and 2 parts are black. What is the probability of the spinner dropping on a blue section on the first spin and then a blue section of the second spin?

Answers

Answer:

There is a 16% chance of the spinner dropping on a blue section on the first spin and then a blue section of the second spin.

Step-by-step explanation:

Given that I spin a spinner that is equally divided into 5 parts, and then I spin it again, knowing that 1 part is pink, 2 parts are blue, and 2 parts are black, to determine what is the probability of the spinner dropping on a blue section on the first spin and then a blue section of the second spin the following calculation must be performed:

Blue parts: 2

Total Parts: 5

2/5 = 0.4 = 40%

0.40 x 0.40 = 0.16

Thus, there is a 16% chance of the spinner dropping on a blue section on the first spin and then a blue section of the second spin.

A bag contains 7 blue, 4 yellow, 4 green, and 5 red marbles. Find the probability of choosing a green marble without looking. Mark only one oval. Dood​

Answers

Answer:

1/4

Step-by-step explanation:

total balls=7+4+4+5=20

probability of green marble=?

green marbles are 5 so,

       Probability=number of favourable outcomes / number of all possible outcomes

   total outcomes=20

green ball chances=5

       =5/20

          =1/4

Volume of a square prism with faces of 3/8

Answers

Answer:

27/512 in.^3

Step-by-step explanation:

volume = side^3

V = (3/8 in.)^3

V = 27/512 in.^3

sin 30Degrees = square of 3/2 and cos 30degrees =1/2 true or false

Answers

Answer:

False

Step-by-step explanation:

Trying it in a calculator says otherwise meaning it's false

Please help me ASAP Please

Answers

Answer:

31x=217     x=7

Step-by-step explanation:

begin with what you know. You know that you will have 31 days to complete the goal and that the goal is 217 miles. This gives you your y (217) and your m (31). Then set up into y=mx+b form. This gives 31x=217. Then to solve divide 217 by 31. This gives the needed the needed answer of 7 miles per day  

The diameter of a circle is 4 m. Find the circumference to the nearest tenth.

Answers

Circumference equals 2 times pi times radius.

Diameter of 4m means the radius is 2m

2 x 3.14 x 2 = 12.56637

12.6 is your answer

Answer :

[tex] \bf \large 10 \: m[/tex]

Step by step explanation :

Given that :

The diameter of a circle is 4 m.

to find :

Find the circumference to the nearest tenth.

formulas used :

circumference = π × Diameter

where,

π = 22/7Diameter = 4 m

explanation :

⟼ c = πd

⟼ c = 22/7 × 4 m

⟼ c = 88/7 m

⟼ c = 12•57 m.

Round to the nearest tenth :

⟼ c = 12•57 m

⟼ c = 10 m.

circle circumference is 10 m.

what is the GCF of 24 and 20 is?

Answers

Step-by-step explanation:

4. because it's the highest number your can evenly divide both numbers by

The authors of a paper concluded that more boys than girls listen to music at high volumes. This conclusion was based on data from independent random samples of 768 boys and 745 girls from a country, age 12 to 19. Of the boys, 397 reported that they almost always listen to music at a high volume setting. Of the girls, 331 reported listening to music at a high volume setting.

Do the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls? Test the relevant hypotheses using a 0.01 significance level. (Use a statistical computer package to calculate the P-value. Use μboys − μgirls. Round your test statistic to two decimal places and your P-value to four decimal places.)

Answers

Answer:

Since the calculated value of z= 2.82  does not lie in the critical region  the null hypothesis is accepted and it is concluded that the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls.

The value of p is 0 .00233. The result is significant at p < 0.10.

Step-by-step explanation:

1) Let the null and alternate hypothesis be

H0:  μboys − μgirls > 0

against the claim

Ha: μboys − μgirls ≤ 0

2) The significance level is set at 0.01

3) The critical region is z  ≤  ± 1.28

4) The test statistic

Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]

Here p1= 397/768= 0.5169  and p2= 331/745=0.4429

pc = 397+331/768+745

pc= 0.4811

qc= 1-pc= 1-0.4811=0.5188

5) Calculations

Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]

z= 0.5169-0.4429/√ 0.4811*0.5188( 1/768+  1/745)

z= 2.82

6) Conclusion

Since the calculated value of z= 2.82  does not lie in the critical region  the null hypothesis is accepted and it is concluded that the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls.

7)

The value of p is 0 .00233. The result is significant at p < 0.10.

ZABD and ZDBC are supplementary angles.
What is the measure of x?
X = [?]°
7D
110%
AK
>C
C С
B
Angles are not drawn to scale.
Enter

Answers

Answer:

Measure?

Step-by-step explanation:

Could u like explains more pls?

Answer:

x=70°

Step-by-step explanation:

x+110=180 linear pair

x=180-110=70

please please help me I will mark brainlist !!

Answers

Answer:

9. B. 32 millimeters

10. C. 7 inches

11. C. 56.24 millimeters

13. B. 14.13 square feet

Step-by-step explanation:

9. Radius of a circle or any circular shape = ½ of its diameter

Diameter of the disk = 64 millimeters

Radius of the disk = ½(64) = 32 millimeters

10. Width of the cooler = 6 in.

Length = 8 in.

Volume = 336 in.³

Height = ?

Formula for volume of a rectangular prism = L*W*H

Plug in the values

336 = 8*6*H

336 = 48*H

Divide both sides by 48

336/48 = H

H = 7 inches

11. A dime has a circular shape

The circumference of the dime = circumference of a circle = πd

Where,

d = 17.91 millimeters

π = 3.14

Plug in the values

C = 3.14 × 17.91 = 56.2374

≈ 56.24 millimeters (nearest hundredth)

12. Area of the top of the desk = area of semicircle = ½ × πr²

Where,

r = ½(6) = 3 ft

π = 3.14

Plug in the values

Area = ½ × 3.14 × 3² = ½ × 3.14 × 9

Area = 14.13 square feet

Which line shown appears to have a Y-intercept of 3?
A. I
B. II
C. III
D. IV
E. none of the above​

Answers

It will be D because it stands for lV

Find the slope of the
(4,5), (6,2)

Answers

Answer:

Answer and steps are in picture.

The slope is m= negative 3/2

what is the area of the figure?​

Answers

Area t= 3 2/3
Area r= 1 2/3
Area total = 5 1/3

Graph the function f(x)= -³√x+2.

Answers

Answer:

Step-by-step explanation:

Rachel received a monthly raise of $105.25. If this represented a 5.5% increase, what is her monthly salary after the raise?

A. $1,913.64
B. $1,964.13
С. $2,018.89
D. $2.089.18

Answers

Answer:

C

Step-by-step explanation:

105,25:5,5*105.5=2018,89

A person places $3090 in an investment account earning an annual rate of 3%,
compounded continuously. Using the formula V = Pet, where V is the value of the
account in t years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the
nearest cent, in the account after 11 years.

Answers

Answer:

$4298.10

Step-by-step explanation:

Using the relation :

V = Pe^rt

P = 3090 ; r = 3% = 0.03 ; t = 11 years

V = 3090 * e^(0.03 * 11)

V = 3090 * e^0.33

V = 3090 * 1.3909681

V = 4298.0915

Amount in the investment after 11 years will be $4298.10

7) Una epidemia mató los 3/7 de las vacas de un granero y de las que le quedaron vendió 1/2. Si todavía le quedaron 24 vacas, ¿Cuántas vacas tenía al principio, ¿cuántas murieron y cuántas vendió?

Answers

Answer:

Habían inicialmente 84 vacas. Murieron 36 vacas. 24 vacas fueron vendidas.

Step-by-step explanation:

Sea [tex]x[/tex] la cantidad inicial de vacas. De acuerdo con el enunciado, murieron tres séptimos de la cantidad inicial y la mitad de ese remanente fue vendida, quedando 24 vacas. Matemáticamente, tenemos las siguientes operaciones:

Cantidad inicial de vacas

[tex]x = \frac{24}{\left(1-\frac{3}{7} \right)\cdot \left(1-\frac{1}{2} \right)}[/tex]

[tex]x = 84[/tex]

Habían inicialmente 84 vacas.

Cantidad de vacas muertas

[tex]y = \frac{3}{7}\cdot x[/tex]

[tex]y = 36[/tex]

Murieron 36 vacas.

Cantidad de vacas vendidas

[tex]z = \left(1-\frac{3}{7} \right)\cdot \frac{1}{2}\cdot x[/tex]

[tex]z = 24[/tex]

24 vacas fueron vendidas.

what is the present perfect of everybody​

Answers

Answer:

Present Perfect Tense Examples

Has lived: She has lived here all her life.

Have written: They have written three letters already.

Have worked: I have worked here since I graduated school.

Has done: He has finished his homework.

Have been: We have been to Canada.

Has forgotten: She has forgotten her folder.

Step-by-step explanation:

a bag contains 1 red beads,2 yellow beads,2 green beads and 1 blue beads
a bead is chosen at random

a)what is probability that it is green ?

b)what probability that it is green or yellow

Answers

Answer:

a) 2/6           b) 4/6

Step-by-step explanation:

You add the amount of beads: 1+2+2+1= 6

And take the amount of green beads and put it over the total amount so 2/6

For b you do the same but add the green and yellow beads and put that over the total amount 4/6

Answer:

Step-by-step explanation:

a) 2/6 = 1/3

b) green or yellow = (2/6 x 1/5) + (2/6 x 1/5) =  1/15 x 1/15 = 1/225

im not sure if my answers are correct

Ella has a part-time job selling cupcakes at a cart in the park. She is paid $25 for a shift plus a fee of $0.25 for each cupcake she sells. A) Write and equation that can be used to solve for the total amount, t, Ella earns for working a shift in the park and selling c cupcakes. Ella works a shift and earns $38. B. Use the equation you wrote for part A to solve for the number of cupcakes Ella sold during her shift. Show your work. In the summer, the average number of cupcakes sold during a weekday shift is 36 and the average number of cupcakes sold during a weekend shift is 62. Ella has been given the choice to work a regular schedule of 3 weekday shifts each week or 2 weekend shifts each week. C. Explain which schedule will allow Ella to earn $300 more quickly. Support your answer with mathematical evidence, and state which shift Ella should choose.

Answers

9514 1404 393

Answer:

  A) t = 0.25c +25

  B) c = 52

  C) 3 weekday shifts

Step-by-step explanation:

A. The amount Ella earns is $0.25 per cupcake, so for c cupcakes, that is ...

  0.25c

In addition, she is paid $25, so her total amount she is paid is ...

  t = 0.25c +25

__

B. In order to earn $38, the number of cupcakes sold must be ...

  38 = 0.25c +25

  13 = 0.25c . . . . . . subtract 25

  52 = c . . . . . . . . . multiply by 4

Ella sold 52 cupcakes to earn $38.

__

C. On one of the average weekdays, Ella could be expected to earn ...

  t = 0.25(36) +25 = 34

Then for 3 weekday shifts, her earnings would be 3($34) = $102. (It would take Ella 3 weeks to earn $300.)

On one of the average weekend shifts, Ella could be expected to earn ...

  t = 0.25(62) +25 = 40.50

Then for 2 weekend shifts, her earnings would be 2($40.50) = $81. (It would take Ella 4 weekends to earn $300.)

Ella would earn $300 more quickly by working weekday shifts.

Can someone please help me out?

Answers

Answer:

x    |   f(x)0    |    02    |    25    |    39    |    110  |    0

Step-by-step explanation:

On the left side of the chart, is the x values. The x values are listed on the x axis which is the horizontal line.

The right side of the chart are the y values. The y values are listed on the y axis which is the vertical line.

Knowing this, we can start

First, for all the answer that we know the x value, we need to find the number that matches on the x axis. Once we find that number, we go up or down on the y axis until we find the line.

If we know the y value, we need to find the number that matches on the y axis. Then we will go right until we find the line.

Remember - There CAN NOT be two y values for the same x value but THERE CAN BE two x values for the same y value

Coin Calculation plz help

Answers

Answer:

You didnt add a question, file or possible answer choices

Consider the following problem: a box with an open top is to be constructed from a square piece of cardboard, 3 feet wide, by cutting out a square from each of the four corners and bending up the sides. Find the largest volume that such a box can have. (a) Draw several diagrams to illustrate the situation, some short boxes with large bases and some tall boxes with small bases. Find the volume of each configuration. Does it appear that there is a maximum volume

Answers

Answer:

) See annex

b) See annex

x  =  0,5 ft

y =  2 ft   and

V = 2 ft³

Step-by-step explanation:  See annex

c) V = y*y*x

d-1) y = 3 - 2x

d-2) V = (3-2x)* ( 3-2x)* x   ⇒ V = (3-2x)²*x    

V(x) =( 9 + 4x² - 12x )*x    ⇒   V(x) = 9x + 4x³ - 12x²

Taking derivatives

V¨(x) = 9 + 12x² - 24x

V¨(x) = 0              ⇒   12x² -24x +9 = 0     ⇒  4x² - 8x + 3 = 0

Solving for x (second degree equation)

x =[ -b ± √b²- 4ac ] / 2a

we get    x₁  =  1,5       and    x₂ =  0,5

We look at y = 3 - 2x    and see that the value x₂ is the only valid root

then

x  =  0,5 ft

y =    2 ft   and

V = 0,5*2*2

V = 2 ft³

What effect does armature reaction have on the torque speed characteristic of a DC shunt motor?​

Answers

Answer:

Step-by-step explanation:

The armature reaction in the motor affects the torque speed characteristics of the motor. Due to the armature reaction in the motor the shape of the torque speed characteristics will changes. The relation between torque and speed of the motor is given below.

…… (1)

where

Terminal voltage of the motor

Flux in the motor

Torque induced in the motor

Armature resistance

If a motor has armature reaction, as the load increases the flux weakening effect reduces the flux in the field winding. From equation (1), as the flux reduces, the speed of the motor increases at a given load over the speed it would run at without armature reaction.

the marked price of an article is 35% more than that of cost price.If the article is sold allowing 15% discount,profit becimes Rs.200.Find the MP and Cp of the article.​

Answers

Answer:

B

Step-by-step explanation:

im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont just want points

Answers

Answer:

i belive it is answer  B

Step-by-step explanation:

Answer:

I think its B

Step-by-step explanation:

im not sure

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