The 5th term in a geometric sequence is 162. The 2nd term is 6, The sum of the 1st 5 terms is.

Answers

Answer 1

Answer:

Step-by-step explanation:

t2 = a*r

t2 = 6

t5 = a*r^4

t5 = 162

162/6 = ar^4 / ar

r^3 = 27

r = 3

6 = a*3

2 = a

Sum = a(r^n - 1)

           =======

             r - 1

n = 5

a = 2

r = 3

Sum = 2(3^5 - 1)

           =======

               2

Sum = 242


Related Questions

can anyone help with this.pls
i will mark as brainliest answer if it is correct
need explanation

Answers

Answer:

He obtained 11.2 points

Step-by-step explanation:

He obtained 20 balls and was penalized 3 points.

If each red ball is 0.5 points off, then 3/0.5=6

6 of his obtained balls were red balls, penalizing 3 points.

So, 20-6=14

The rest of his 14 balls were green balls, each worth 0.8

So, 14 × 0.8 = 11.2

So he obtained a total of 11.2 points

2x^2=3x+10 completing the square

Answers

Answer:

[tex] x_{1} = \frac{ - \sqrt{89 + 3} }{4} [/tex]

[tex] x_{2} = \frac{ \sqrt{89 + 3} }{4} [/tex]

Step-by-step explanation:

1) Move the variable to the left

2) Divide both sides

3) Add the same value to both sides

4) Add 9/16 to the expression

5) Add 9/16 to the right-hand side

6) Recalculate then solve

How many solutions does 9 - 5x = 8 - 3x - 1 -2x have?
A. One
B. Two
C. Infinite
D. Zero

Answers

Answer:

D) Zero solutions

Step-by-step explanation:

9 - 5x = 8 - 3x - 1 - 2x

9 - 5x = 7 - 5x

9 = 7

Zero solutions

i took the quiz its D. Zero

Amy is traveling across the USA by train over the summer. She is keeping track of all of the stops on her trip. She has just completed stop 8 and the map shows she is 20% complete. How many total stops are on her trip?

Answers

Answer: 40

Step-by-step explanation: if 8 stops complete 20% of the map 100% is 5 times that so 8x5 is 40 so 40 stops in total

The total number of stops in her trip is 40.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Amy has just completed stop 8 and the map shows she is 20% complete.

let the total number of stops be x

So, 20% of x = 8

20/100x= 8

1/5x = 8

x= 40

Hence, the total number of stops in her trip is 40.

Learn more about algebra here:

https://brainly.com/question/24875240

#SPJ2

pls help i will give brainliest!!!!! :)

Answers

Answer: c.50 is the answer

Write an expression for 5 times the difference of twice a number and 4

Answers

Answer:

1. 50-x

2. 2x+189

3. x+109

4. x+99

5. x*(76-39)

6. 75+x

7. 45-3x

8. 2x+15

9. 3x-25

10. x*(x+88)

Step-by-step explanation:

53:24
Which statement about the function is true?
The graph of the function f(x) = -(x + 3)(x - 1) is
shown below.
The function is positive for all real values of x
where
x 1.1
6
27
O The function is negative for all real values of x
where
x <-3 and where x > 1
The function is positive for all real values of x
where
x > 0
The function is negative for all real values of x
where
X<-3 or x>-1
-6
4
2.
4
6
х
-2
-2
4
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

25

Step-by-step explanation:

Y varies directly as x if x=15 when y=20, find x when y=30

Answers

Answer:

X=22.5

Step-by-step explanation:

Y=kX

20=15k

k=4/3

For X when Y=30

30=4/3×X

Cross multiply

4X=90

X=22.5

HELP ME WITH THIS PLEASEEE !

Answers

Answer:

  38.525 in²

Step-by-step explanation:

The area formula for a triangle is useful here.

  A = 1/2bh . . . . . . b=base length; h=height

  A = 1/2(11.5 in)(6.7 in) = 38.525 in²

The area is 38.525 square inches.

Plz help brainiest to the correct answer!

Answers

[tex]\\ \sf{:}\dashrightarrow \dfrac{1}{4}(-12)=-3[/tex]

#b

[tex]\\ \sf{:}\dashrightarrow \dfrac{-1}{3}(39)=-13[/tex]

#c

[tex]\\ \sf{:}\dashrightarrow -4/5(-75)=-4(-15)=60[/tex]

#d

[tex]\\ \sf{:}\dashrightarrow (-2/5)(-3/4)=6/20=3/10[/tex]

#e

[tex]\\ \sf{:}\dashrightarrow 8/3(-42)=-14(8)=-112[/tex]

Solve for P 2(p-10)= 14

Answers

Hi,

2(p-10) = 14

2p - 20 = 14

2p - 20 + 20 = 14 + 20

2p = 34

2p/2 = 34/2

p = 17

(•‿•)

Help help help help pls

Answers

This is all simple division rules. U have 2 different values so you divide the larger value with the smaller value.

Jamal bought a concert ticket online for $57. He used a coupon code to get a 40% discount. The website also applied a 20% processing fee to the price after the discount. How much was the processing fee? Round to the nearest cent.

Answers

Answer:

$41.04

Step-by-step explanation:

57-40%(22.8)=34.2

34.2+20%(6.84)=41.04

10a + 4 =

........................................

Answers

What does 10a + 4=?
Answer is :2 (5a + 2)

ARAT TIETE (Simplify): V125 - V45+ V5​

Answers

Answer:

3[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplifying the radicals

[tex]\sqrt{125}[/tex]

= [tex]\sqrt{25(5)}[/tex]

= [tex]\sqrt{25}[/tex] × [tex]\sqrt{5}[/tex] = 5[tex]\sqrt{5}[/tex]

[tex]\sqrt{45}[/tex]

= [tex]\sqrt{9(5)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex] = 3[tex]\sqrt{5}[/tex]

Then

[tex]\sqrt{125}[/tex] - [tex]\sqrt{45}[/tex] + [tex]\sqrt{5}[/tex]

= 5[tex]\sqrt{5}[/tex] - 3[tex]\sqrt{5}[/tex] + [tex]\sqrt{5}[/tex] ← collect like terms

= 3[tex]\sqrt{5}[/tex]

what does c equal : c - 12 =-4

Answers

Answer:

c = 8

Step-by-step explanation:

c - 12 = -4

Add 12 on both sides

c = 12 + (-4)

c = 8

help please thanks. ​

Answers

Answer:

Answer below

Step-by-step explanation:

a. g(w)=$30+$15w

b. h(w)=$65+$20w

c. g(3)=125 represents that Darnell's account has $125 after 3 weeks

d. w=3.5

A bowl contains only red marbles, blue marbles and green marbles. The probability of selecting a red marble from the bowl is 3/13. The probability of selecting a blue marble from the bowl is 2/5. There are fewer than 100 marbles in the bowl. What is the probability of selecting a green marble and then a red marble from the bowl on the first two selections, assuming marbles are not returned to the bowl after being pulled

Answers

Answer:   9/104

====================================================

Explanation:

3/13 = 15/65 after multiplying top and bottom by 5

2/5 = 26/65 after multiplying top and bottom by 13

Let's say there are 65 marbles in the bowl. That would mean 15 of them are red (since 15/65 reduces to 3/13) and 26 are blue. That gives 15+26 = 41 so far. Leaving 65-41 = 24 marbles that must be green.

The probability of selecting a green marble is 24/65. Once that first green marble is taken out, it is not replaced. We have 65-1 = 64 marbles left, 15 of which are red. The probability of picking red on the second selection is 15/64.

Multiply the fractions mentioned:

(24/65)*(15/64)

(24*15)/(65*64)

360/4160

9/104

Whats 12 3/8 - 9 1/8

Answers

Answer:

3[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Answer:

13/4

Step-by-step explanation:1238−918

Convert 1238

to an improper fraction.

Tap for more steps...

998−918

Convert 918

to an improper fraction.

Tap for more steps...

998−738

Combine the numerators over the common denominator.

99−738

Subtract 73

from 99

.

268

Cancel the common factor of 26

and 8

.

Tap for more steps...

134

Difference
between limiting value and functiona
value of function ? give
some eample

Answers

Answer:

The value of a function is the actual calculation done at a certain point. The limit is - roughly speaking - the value at points that are “arbitrarily close” to the same point. For most commonly used functions, the value of a function at a point, and the limit at the same point, is the same - at least for most values.

Q.

10! (Factorial)

note : Don't be bullied, I'm not beautiful:v​

Answers

Answer:

The value of factorial of 10 is 3628800,

i.e. 10! = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 3628800.

[tex]\large\huge\green{\sf{Answer:-}}[/tex]

[tex]10! \: = 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times\\ 3 \times 2 \times 1 =3628800 \\ [/tex]

The \: value of factorial of 10 is , i.e. 10!= 3628800

What is the y intercept and slope

Answers

Y intercept is (0,4) and the slope is -3

what does x - 9 multiplied by x + 4 equal

Answers

Answer:

x^2 - 5x -36

Step-by-step explanation:

multiply x-9 by x to get x^2 -9x. multiply x-9 by 4 to get 4x-36. add these two together to get x^2 - 9x + 4x - 36. simplify to get x^2 - 5x -36

(44+6x) / (16+x) ………

Answers

The answer would be 6- 52/(x+16)
The answer above me is correct

but if simplified it’d be 2(22+3x)/16+x

If you can buy four bulbs of elephant garlic for $8 how many can you buy with $32?

Answers

Answer:

16

Step-by-step explanation:

16

Step-by-step explanation:

32 ÷ 8 = 4

4 × 4 = 16

[tex] \\ [/tex]

KemberlyJ

Use your scientific calculator to calculate the value of the following:3.5934×4.294Give your answer in decimal form and write all the digits on your calculator display.

Answers

Answer:

15.4300596

Step-by-step explanation:

will mark brainliest for 2 possible answers (WITH NO LINKS AND ANSWERS WITHOUT EXPLANATION)

Answers

Answer:

Equation in cubed form is x^3+7x^2+7x-15

Step-by-step explanation:

Nisha measures the temperature at 12 noon each day.
She records her results on a graph.
Playground Temperature in January

Temperature in degrees
Monday= 2
Tuesday= 6
Wednesday= -3
Thursday= -2
Friday= 1
Nisha says the difference between the coldest and warmest
temperature is 2°C.
Is she correct and why?

Answers

Answer:

no, because the highest temperature was 6 and the lowest was -2. that's an 8 degree difference

I need some help with this question, can anyone help me?

Answers

Answer: IM only in midle school i think this is it 7(3e + 5)

Step-by-step explanation: f it is brainliest whe someone answers pls ps you next question ready

How many real solutions are there to the equation: x + y = 10

don't forget the explanation?​

Answers

Answer:

An infinite amount

Step-by-step explanation:

The domain and range of the equation [tex]x+y=10[/tex] are both [tex](-\infty, \infty)[/tex] or all real numbers ([tex]\mathbb{R}[/tex]). This means the equation takes on any real value for [tex]x[/tex] and [tex]y[/tex]. Therefore, there are an infinite number of real solutions to the equation.

Conceptually this makes sense. For any number we plug in for [tex]x[/tex], we can change [tex]y[/tex] to make [tex]x+y=10[/tex] true. Since there are an infinite number of numbers, there are an infinite number of values we can plug in for [tex]x[/tex] and [tex]y[/tex].

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