find the 7th term of the geometric progression which begins with -6250,1250,-250

Answers

Answer 1

Answer:

a₇ = - 0.4

Step-by-step explanation:

The n th term of a geometric progression is

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

where a₁ is the first term and r the common ratio

Here a₁ = - 6250 and r = [tex]\frac{1250}{-6250}[/tex] = - [tex]\frac{1}{5}[/tex] , thus

a₇ = - 6250 × [tex](-\frac{1}{5}) ^{6}[/tex]

    = - 6250 × [tex]\frac{1}{15625}[/tex] = - [tex]\frac{6250}{15625}[/tex] = - 0.4


Related Questions

help me I need this answer asap pls :(​

Answers

The answer is - 3 units because it is 3 below the g(x) unit
The answer is -3 units. I hope this answer helps

A hiker is climbing down a valley. He stops for a water break 4 times. Between each break, he descends 15 meters. How many meters did he descend? Ju Chan answered the question by writing the following: 4(−15) meters = −60 meters. Which word in the problem indicates that a negative number should be used?

Answers

Answer : I think the word that indicates that negative should be used is “descend” since he took a break 4 times and each time he descend 15 meter if we look at the equation 4(-15)=-60
Where 4 is the amount of time he took a break and (-15) is the distance he descend.

Answer:

"descends"

Step-by-step explanation:

(just had the same question).

what is the value of n

Answers

Answer:

c. 38

Step-by-step explanation:

Will get lots of points!! Thank you!! Trigonometry

Answers

Answer:

Angle B =  75 degrees

AC =  35.7

BC =  9.6

Step-by-step explanation:

Angle A = 15 degrees (given)

Angle C = 90 degrees (given)

c = 37 (given)

Angle B = 90-15 = 75 degrees

AC = AB cos(A) = 37 cos(15) = 35.7

BC = AB sin(A) = 37 sin(15) = 9.6

HELP ME PLEASE PLEASE IM BEGGING

Answers

Answer:

The solution is the triplet: (a, b, c) = (-3, 0, 0)

Step-by-step explanation:

Let's start with the second equation, and solving for "a":

a - b = -3

a = b - 3

Now replace this expression for a in the third equation:

2 a + b = -6

2 (b - 3) +b = -6

2 b - 6 +b = -6

3 b = -6 +6

3 b = 0

b = 0

So if b = 0 then a = 0 - 3 = -3

now we can replace a= -3, and b = 0  in the first equation and solve for c:

2 a - b + c = -6

2 ( -3) - 0 + c = -6

-6+ c = -6

c = -6 + 6

c = 0

Our solution is a = -3, b= 0 , and c = 0 which can be expressed as (-3, 0, 0)

I need help with my homework help me please

Answers

Answer:

a. 17

b. 50

c. 9

Step-by-step explanation:

Simply replace the variables with the given numbers:

3(5) + 2

15 + 2

17

2(5)²

2(25)

50

(5 - 2)²

9

Answer:

a) 17

b) 50

c) 9

Step-by-step explanation:

x = 5; y = 2

a) 3x + y

b) 2x^2

c) (x - y)^2

a) 3x + y = 3(5) + 2 = 15 + 2 = 17

b) 2x^2 = 2(5^2) = 2(25) = 50

c) (x - y)^2 = (5 - 2)^2 = 3^2 = 9

Mrs Lim bought a number of plates at an average price of $6. She decided to buy another plate which cost $18. The average price of all the plates then became $8. What was the total number of plates Mrs Lim bought in all?​

Answers

Use simultaneous equations to solve this question, it’s beginners algebra if I’m not wrong. I hope you’re able to understand my working :)

#1 The area of a rectangular deck, in square meters, is given by the polynomial 40p^2 + 24p.
The deck is 8p meters wide

a) Find the polynomial that represents the length of the deck.

b) Find the polynomial that represents the perimeter of the deck.


#2 A cylinder has a volume of 200 mm^3 and a height of 17mm.

a) The volume formula for a cylinder is the equals v=(pi)r^2h. Isolate the variable for r in this formula.

b) using the equation where are you isolated r for part a, find the radius of the cylinder round your answer to the nearest hundredth.

PLEASE HELP even if you just answer #1 or #2 it would help i don’t have very much time.


Answers

Answer:

1.

a. 5p + 3

b. 26p + 6

2.

a r = (v ÷(pi)h)½

b. r = 3.74 to the nearest hundredth

Step-by-step explanation:

1.

Area of deck = 40p² + 24p

Width of deck = 8p

Area = length × width(breadth)

a. Area = length × width

40p² + 24p = length × 8p

Factorise out 8p from the left hand side

8p(5p + 3) = length × 8p

Divide both sides by 8p

5p + 3 = length

b Perimeter of deck = 2 (length + width)

"" = 2(5p+3 + 8p)

"" = 2 (13p + 3)

"" = 26p + 6

2.

Volume = 200 mm³

Height = 17mm

a. isolate the r in the equation v = (pi)r²h

v = (pi)r²h

Divide both sides by (pi)h

v ÷ (pi)h = r²

Take the square roots of both sides

(v ÷ (pi)h)½ = r

b. find r using your answer in a.

r = (v ÷ (pi)h)½

r = (200 ÷ ( 22/7 × 17))½

r = (200 ÷ 53.4286)

r = 3.7433

r = 3.74 to the nearest hundredth

Which fraction is not equivalent to 7/8

Answers

Answer:

C. 15/16

Step-by-step explanation:

A. Divide by 3

B. Divide by 5

C. Can't divide by anything.

D. Divide by 4

Answer:

C

Step-by-step explanation:

21/24 = 7/8

35/40 = 7/8

7/8 ≠ 15/16

14/16 ≠ 15/16

28/32 = 7/8

Please help ! ;v; A coordinate plane is shown. A line passes through the point (-4,1) and through the y-axis at 4. What is the y-intercept of the line shown?

Answers

Answer:

(0, 4)

Step-by-step explanation:

The y-intercept is where the graph crosses the y-axis when x = 0. Since you are given the graph, you can see that when x = 0, the graph crosses y = 4, so our y-int is (0, 4).

A jar holds 80 fluids ounces of juice. The label says the jar has 10 servings. How many fluid ounces are needed for 80 servings?

Answers

80 ounces = 10 servings

Multiply both sides by 8:
8(80) ounces = 80 servings
640 ounces = 80 servings

Answer:

640 fl oz

Step-by-step explanation:

80 divided by 10 is 8. So each serving for a jar that hold 80 fl oz contains 8 fl oz.

So you would multioply 80 by 8 to find the amount of juice needed for 80 servings.  80*8= 640

I will mark brainiest if correct Let ​f(x)=5x−7 and ​g(x)=x+3. Find​ f(g(x)) and​ g(f(x)).

Answers

Step-by-step explanation:

f(g(x))= 5(g(x))- 7 = 5(x+3) - 7 = 5x +8

g(f(x)) = f(x) +3 = 5x -7 +3= 5x -4

Ryan is X years old. Two times his age plus fifteen equals thirty-seven minus two. ( 2X + 15=37 - 2) Write an equation showing how old Ryan is. Solve it fi you can and show your work. 10X - 8 = 9X + 8 solve and show your work

Answers

Answer:

1) 10

2) 16

Step-by-step explanation:

1) 2x+15=37-2

2x+15=35

2x=35-15

2x=20

2 2

x=10

2)10x-8=9x+8

10x-9x=8+8

x=16

Hope this helps ❤

What does x(x - 2) equal?

Answers

Answer:

x^2 - 2x

Step-by-step explanation:

Distribute the x to every term in the parenthesis.

Answer:

x^2 -2x

Step-by-step explanation:

x(x - 2)

Distribute

x*x - 2*x

x^2 -2x

8x= -14 Give your answer as an improper fraction in its simplest form. please help its due now! AWARD = BRAINLIEST!!!

Answers

Answer:

x= -7/4

Step-by-step explanation:

8x= -14

Divide both sides by 8

8x/8 = -14/8

Simplify

x= -7/4

Answer:

x=-7/4 is an improper fraction

Step-by-step explanation:

8x=-14

dividing 8 on both sides

x=-14/8

cancelling by 2

x=-7/4

i hope this will help you :)

Please answer it now in two minutes

Answers

Answer:

44

Step-by-step explanation:

Tan v=opp/adj 18s/19s=0.947

v=44 degrees (approximately)

angle T=180 - (90+44)

angle T= 46

Please answer ASAP! (No explanation required!) <3

Answers

Answer:

a) 9 squares long

b) 18

Step-by-step explanation:

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.

Answers

Answer:

The radicals should be negatives of each  other

Step-by-step explanation:

When we get solutions that are radicals, they have to be in the form

a+ sqrt(b) and a- sqrt(b)

His answer is a + sqrt(b) and -a - sqrt(b)

If 3x-5=10x+9, what is 4(x+7)?

Answers

Answer: not sure

Step-by-step explanation:

Answer:

Hey there!

3x-5=10x+9

-5=7x+9

-14=7x

x=-2

4(x+7)

4(-2+7)

4(5)

20

Hope this helps :)

Can someone please help me I really need help please help me thank you

Answers

Answer:

The initial value of the computer

Explanation:

The v-intercept of the line is the point when the graph goes through the v-axis. At this point, t=0, meaning no time has yet passed. Since no time has passed, the v equals the original value of the computer at the v-intercept, meaning the answer is the initial value of the computer.

If x∝y and x=24 when y = 8. Find x when y = 16
3 points

Answers

Answer:

x= 48

Step-by-step explanation:

x∝ y

x= ky

24= 8k

k= 3

Now solve for x

x= ky

x= 3x 26

x= 48

I hope it helped

Use the graph to evaluate the function below for specific inputs and outputs.

Answers

Answer:

y = G(x) = 6, when x = -4

y = G(x) = -2, when x = 3

Step-by-step explanation:

From the attached graph tracing the first point to the graph and then to x axis.

y = G(x) = 6

as shown on the attachment(by the thick line)

y = G(x) = 6, when x = -4

From the attached graph tracing the second point to the graph and then to x axis.

y = G(x) = -2

as shown on the attachment(by the thin line)

y = G(x) = -2, when x = 3

Solve for x. Write both solutions, separated by a comma. 8x^2+7x-1=0

Answers

Answer:

x = 1/8 , - 1

Step-by-step explanation:

8x² + 7x - 1 = 0

Rewrite 7x as a difference

That's

8x² + 8x - x - 1 = 0

Factorize

8x( x + 1) - ( x + 1) = 0

(8x - 1)( x + 1) = 0

8x - 1 = 0 x + 1 =0

8x = 1 x = - 1

x = 1/8

The solutions are

x = 1/8 , - 1

Hope this helps you

Una persona adeuda $15.000.000 que ya incluye intereses y debe pagarlos dentro de 8 meses. Si hace un pago de $3.000.000 dentro de 2 meses. ¿Cuánto deberá pagar al cabo de los 8 meses si se considera una tasa de 30% anual?

Answers

Answer:

$15,000,000

Step-by-step explanation:

Fórmula de intereses = P × R × T

P = $15,000,000

R = 30% anual = 0.3

T = 8 meses = 8/12 = 0.6667

Intereses = $15,000,000 × 0.3 × 0.6667

Intereses = $3,000,000

Después de 8 meses, el monto a pagar = $15,000,000.00+ $3,000,000

= $18,000,000

Si hace un pago de $3,000,000 dentro de 2 meses, cuánto deberá pagar al cabo de los 8 meses si se considera una tasa de 30% anual

= $18,000,000 - $3,000,000

= $15,000,000

what is a other name for the set of all x-values

Answers

Answer:

its domain

Step-by-step explanation:

Answer:

i believe it is A- range.

Step-by-step explanation:

i took the quiz

78÷4 68÷7 98÷6
Answer me fast​

Answers

Answer:

78/4=19.5, 68/7=9.71, 98/6=16.3

Step-by-step explanation:

Help someone please!! Ty

Answers

Answer:

Option (B)

Step-by-step explanation:

Let the five distinct positive integers are a, b, c, d, e.

Average of these five integers is 20.

[tex]\frac{a+b+c+d+e}{5}=20[/tex]

a + b + c + d + e = 100

If these integers are in the increasing order,

Median of these integers 'c' = 12

If the sum of d and e is the largest then the sum of a and b will be the smallest.

Therefore, the smallest positive integers a and b will be,

a = 1 and b = 2

1 + 2 + 12 + d + e = 100

15 + d + e = 100

d + e = 100 - 15

d + e = 85

Since d will be greater than the median c,

d > c

d > 12

For the largest value of integer 'e', value of 'd' will be minimum.

The least value of d will be = 13

Then, 13 + e = 85

e = 85 - 13

e = 72

{a, b, c, d, e} = {1, 2, 12, 13, 72}

Therefore, the largest possible number is this set will be 72.

Option (B) will be the answer.

A
The star makes a glide reflection according to the vector (5,0) and reflection line of y = 1. What are the coordinates of A?
Select one:
O a. (-4,0)
Ob.(2,-2)
OC. (-2, 4)
O d. (0,-2)

Answers

The answer will end up being c

help me solve this please

Answers

(-2,7) because of the circle equation.
Please mark brainliest! Thank you

Answer:

Center : (-2, 7)

Radius : 6

Step-by-step explanation:

If you use desmos (graphing website), you're able to plug in the the equation to find the radius and center.

i mark brainliest for all my questions that are answered right :) thx for helping me

Answers

The correct answer is y= 0.513(1.833)^x


Explain


We will use the equation on this form

Y=ab^x

Let’s us plug in the coordinates of first point

(X, y) , ( 9, 120)

We will have

Y=ab^x

120= ab^9

Our equation for a will be

Ab^9 = 120

ab ^9 / b^9 = 120/ b^9


a = 120/ b^9

So will have


Y= 120/ b^9 • b^x

Then we will plug in coordinates for the second point


( x,y) = ( 10, 220)

We will have

Y= 120/b^9 • b^x

220 = 120/b^9 • b^10-9


220= 120b

Divide both side by 120

B= 11/6

B= 1.833333 = 1.833



Let’s plug in the value b=11/6 to our equation for a


A= 120/b^9

A= 120/ 11/6^9

A= 120/11^9/6^9


A=120 • 6^9 / 11^9

= 0.51285 which equal to 0.513



So therefore the answer is

Y= 0.513(1.833)^x


I hope this help you

:D
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