the 7th term of a Gp is 192 and it common ratio is 2 find the first term​

Answers

Answer 1

[tex]n^{th}\textit{ term of a geometric sequence} \\\\ a_n=a_1\cdot r^{n-1}\qquad \begin{cases} a_7=\stackrel{7^{th}\ term}{192}\\ 7=\textit{term position}\\ a_1=\textit{first term}\\ r=\stackrel{\textit{common ratio}}{2} \end{cases} \qquad \qquad a_7=a_1\cdot 2^{7-1} \\\\\\ 192=a_1\cdot 2^6 \implies 192=64a_1\implies \cfrac{192}{64}=a_1\implies \boxed{3=a_1}[/tex]


Related Questions

Question 3 What is the equation of the parabola that opens up, has a vertex V(5,0), and a y-intercept of 50?​

Answers

Answer:

y=2(x-5)^2

Step-by-step explanation:

Vertex form:

y=a(x-p)^2+q

(p,q) = (5,0)

y=a(x-5)^2

y-intercept has coordinates (0,50) so, substitute x=0 and y= 50 in the above equation to find "a"

50=a(0-5)^2

50=25a

a=2

equation

y=2(x-5)^2

Would anyone be able to help with this? on my review and not sure how to do it

Answers

90 degrees - 78 degrees = 12 degrees

cofunction of sin is cos

answer : cos12

What is 59.56 rounded to the nearest whole number?​

Answers

Answer:

60

Step-by-step explanation:

There are 15 pieces of fruit in a bowl and 6 of them are apples. What percentage of the pieces of fruit in the bowl are apples?

Answers

40%

6/15 is 0.4. Multiplied by 100, that makes 40%.

What is John and Linda paid each hour

Answers

This question is out of context
Where is the equation or question?

Anyone that can answer it right gets 30!

Answers

Answer:

First

Step-by-step explanation:

1.

[tex]\frac{48}{8} + 2^{3} = 6 + 8 = 14[/tex]

[tex]5 + 3^2 = 5 + 9 = 14[/tex]

2.

[tex]9^{2} - 7^{2} = 81 - 63 = 18[/tex]

[tex]\frac{20}{7-2} = \frac{20}{5} = 4[/tex]

3.

[tex]\frac{150}{5^2} = \frac{150}{25} = 6[/tex]

[tex]30 - 4^{2} - 12 = 30 - 16 - 12 = 30 - 28 = 2[/tex]

4.

[tex]\frac{8 - 7}{2} - 12 = 0.5 - 12 = -11.5[/tex]

[tex]22 - 2 * 3 = 22 - 6 = 16[/tex]

Answer:

first and fourth

Step-by-step explanation:

Equate and compare both sides of the equations. If both sides are equal then the equation is true.

48 ÷ 8 + 2³ = 6 + 8 = 14

right side = 5 + 3² = 5 + 9 = 14

This is a true equation

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

9² - 7² = 81 - 49 = 32

right side = 20 ÷ (7 - 2) = 20 ÷ 5 = 4

This is not a true equation

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

[tex]\frac{150}{5^2}[/tex] = [tex]\frac{150}{25}[/tex] = 6

right side = 30 - 4² - 12 = 30 - 16 - 12 = 14 - 12 = 2

This is not a true equation

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

[tex]\frac{8(7)}{2}[/tex] - 12 = [tex]\frac{56}{2}[/tex] - 12 = 28 - 12 = 16

right side = 22 - 2 × 3 = 22 - 6 = 16

This is a true equation

whats the answer can someone answer please​

Answers

Answer:

17. 4

18. 4w + 34

19. 39t + 54

Step-by-step explanation:

Answer:

answer of QN 17 is 3 ,answer of QN 18 is 4w + 34 and answer of QN 19 is 39t + 54

The width of a rectangle is 6 kilometers
a
less than twice its length. If its area is
56 square kilometers, find the
dimensions of the rectangle.

Answers

Answer:

9,333333333333333 and 6 Km

Step-by-step explanation:

The width of a rectangle is 6 kilometers

less than twice its length. If its area is

56 square kilometers, find the

dimensions of the rectangle.

the area of ​​the rectangle is found by multiplying the width by the height, you have the area and the width, divide the area by the width and find the length

56 : 6 = 9,333333333333333 Km

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

check

9,333333333333333 * 6 = 56

the answer is good

Can someone please help with my math homework? this is so confusing.

Answers

Hi there friend, your answer for perimeter is 18.

I’ve included a graph below to help explain why but basically if you count the squares, each side measures 4 1/2 units so if you multiply 4 1/2 units by 4(the number of sides) you get 18.

Fill in the blank with a number to make the expression a perfect square.

y^2 + 6y + ?

Answers

Answer:

(y+3)^2 - 9

Step-by-step explanation:

Solve for x
5(x+8)=2x−7+8(x−1)

Answers

Answer:

x = 11

Step-by-step explanation:

5(x+8) = 2x - 7 + 8 (x - 1)

5x + 40 = 2x - 7 + 8x - 8

5x + 40 = 2x + 8x - 7 - 8

5x + 40 = 10x - 15

40 + 15 = 10x - 5x

55 = 5x

5x = 55

x = 55/5

x = 11

x=11

Step-by-step explanation:

5x+40=2x-7+8x-8

5x+40=10x-15

10x-5x=40+15

5x=55

x=55/5

x=11

(Express these ratios in their simplest form)
Shesho and Merto share a pizza in the ratios 3: 4 respectively. What fraction of the pizza did each get?

BRAINLIEST**

Answers

Answer:

3:4 itself.

3:4 itself.

Step-by-step explanation:

3:4 itself.

WHAT IS THE EQUATION IN SLOPE INTERCEPT FORM FOT THE LINE THAT PASSES THROUGH THE POINTS (2,-2) AND (-3,-17)

Answers

Answer:

y = 3x - 8

Step-by-step explanation:

to find slope the equation (y2 - y1) / (x2 - x1) is used

this means change of y over change of x

[-17 - (-2)] / (-3 - 2)

(-17 + 2) / -5

-15 / -5 = 3

the slope is 3

to find slope intercept form you must find the y intercept

using y = 3x + b and plugging things in we can find it

we can plug in the first point

-2 = 2(3) + b

b is your y intercept

-2 = 6 + b

b = -8

Answer:

y = 3/1x - 8

steps:

(2,-2) (-3, -17)

x1. y1. x2. y2

y2-y1

x2-x1

-17 - -2 = -15. = 3

-3-2. -5. 1

(2,-2)

y= mx + b

-2 = 3/1(2) + b

-2 = 6 + b

-6 -6

-8 = b

y = 3/1x - 8

asap asnwerrrrrrrrrrrrrrrrrrrrrrrr

Answers

Angle 3 is 96 degrees - angles on a straight line add up to 180 degrees

Hope this helps!

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6
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Which graph shows a set of ordered pairs that represent a function?
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Answers

3rd graph, far right on top

Step-by-step explanation:

Use the vertical line test to determine (one input for x cannot have two outputs of y)

What is the elapsed time from 11:34 A.M. to 12:06 P.M.?

Answers

32 minutes is the time elapsed

Answer:

12hrs and 32 minutes

Step-by-step explanation:

because the same am time to pm time is exactly 12 hrs and 11:34am is 26 minutes away from 12am so you can 26 minutes to get to 12am then 12am is 12hrs away from 12pm so you add 12hrs and now you are at 12pm at 12pm you add 6 minutes to get to 12:06pm which is a total of 12hrs and 32 minutes

PLEASE HELP ME!!

use the correct form of ser and use a pronoun

Gabriela _____ mi hermana

Answers

Answer:Gabriela es mi hermana

Step-by-step explanation:

Gabriela es mi hermana

As a bonus question on a test, Mr. Smith wrote 8z + (5y6w). He told his students the values of each variable: w=6, y=2, and z = 7. What is the simplification of Mr. Smith's expression?​

Answers

Answer:

416

Step-by-step explanation:

Plug in the variables

8(7) + (5*2 * 6*6)

56 + (10 * 36)

56 + 360

416

In the xy-plane, a line crosses the y-axis at the point (2, 2) and passes through
the paint (-3, -13). Which of the following is an equation of the line?

Answers

I would say the 2 one and for that one it’s 3

A. What does each of these points represent in the is situation: (0, 0), (1, 55), and (5, 275)?

What does each of these points represent in this situation (0, 0), (1, 55) and (5, 275)? Graph shows Mr. Brown’s road trip, with time (h) on the x-axis and distance (mi) on the y-axis. Points marked on the line graph are at (0, 0), (1, 55) and (5, 275).

Answers

Step-by-step explanation:

[tex]︎{\blue{\rule{25pt}{1pt}{\purple{\rule{30pt}{3pt}{\red{\rule{50pt}{9999pt}{\purple{\rule{30pt}{3pt}{\blue{\rule{25pt}{1pt} }}}}}}}}}}︎︎︎[/tex]

Write an equation for a rational function with:
Vertical asymptotes at x = -5 and x = 3
x-intercepts at x = -4 and x = -3
y-intercept at 3

Answers

Answer:

B

Step-by-step explanation:

The ratio of your monthly allowance compared to your friends monthly allowance is five to three and totally you and your friend make $40 how much money do you make

Answers

15$ is the answer to this question.

What is the solution to the system graphed?

A. (2,-1)
B.(1,-2)
C.(-1,2)
D.(-2,1)

Answers

Answer:  C.  (-1, 2)

Explanation: The two lines intersect at this point. This point satisfies both equations at the same time.

In a class of 20 kindergarteners, 10 are wearing blue shirts, 5 are wearing green shirts, and 5 are wearing red shirts. A group of 10 kindergarteners is chosen at random to go outside for play time. What is the probability that exactly two of the group are wearing red shirts

Answers

as there are 30 children and from 30 children 2 will be picked (which will than be 2/30)

but if we simplify that by 2, than that will lead to the ANSWER OF: 1/15

What is sin 60°?
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Answers

Answer:

F

Step-by-step explanation:

If you look at that triangle and do trigonometry with sin, you would have to do opposite/hypotenuse. This would be (square root of 3)/2

Mr. quick bought new computer system. The regular price was 1,580 , but he got a 15% discount. How much did he actually pay?

Answers

Answer:

$1343

Step-by-step explanation:

The equation would be

x= 1580 (1-0.15)

x represents how much he actually pays.

1-0.15=0.85.

1580×0.85=1343

Solve by factoring 12x^3+12x^2=0

Answers

Factor out the GCF
12x^2(x + 1) = 0
Now you can do two parts
12x^2 = 0, x = 0
x + 1 = 0, x = -1

Solution: x = 0, x = -1

Factor out the GCF

12x^2(x + 1) = 0

Now you can do two parts

12x^2 = 0, x = 0

x + 1 = 0, x = -1

Solution: x = 0, x = -1

brainliest pls

Help quick 20 points

Answers

Answer:

Step-by-step explanation:

1) isosceles triangle d = (180 - 110) / 2 = 35°

2) 2h + 3h + 4h = 180

    9h = 180

      h = 20

2h = 40°

3h = 60°

4h = 80°

For which equations is 8 a solution? Select the four correct answers.
x + 6 = 2
x + 2 = 10
x minus 4 = 4
x minus 2 = 10
2 x = 4
3 x = 24
StartFraction x Over 2 EndFraction = 16
StartFraction x Over 8 EndFraction = 1

Answers

Answer:

x+2=10

x minus 4 = 4

x minus 2 = 10

3x = 4 are the answers .

Answer:

what he said ex for x-2=10 thats naught rite the correct are:

X+2=10

X-4=4

3x=24

X/8=1

Step-by-step explanation:

did it on the test!!!

Find the mode of project scores in math class 1 , 2 , 4 , 4 , 3 , 3 , 4 , 3 , 4 , 3 , 3 , 1

Answers

Mode is the bailie that is listed the most.

There are 5 3’s which is the most of any of the values given.

Mode = 3

Hello!

The mode is the number that is seen most often in the given dataset.

Let's take a look at all the numbers:

1 is seen twice

2 is seen once

3 is seen 5 times

4 is seen 4 times

So 3 is the mode. Hope it helps. Please ask me if you have any questions.

~An excited gal

#CarryOnLearning

[tex]MagicalNature[/tex] here to help

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