Identify the 16th term of a geometric sequence where a1 = 4 and a8 = −8,748.

Answers

Answer 1

Step-by-step explanation:

The formula used to determine the terms is

an = a1 × rn - 1

It is given that

a1 = 4

a8 = -8,748

Substituting the values in the formula

-8748 = 4 × r8 - 1

r7 = -8748/4

r7 = -2187

r = -3

So the 16th term is

a16 = 4 × 316-1

a16 = -57395628

Therefore, the 16th term is -57395628.


Related Questions

Jon is 3 years younger than Laura. The product of their ages is 1,330. If j represents Jon’s age and represents Laura’s age, what value of j could be Jon’s age?

Answers

Answer:

35

Step-by-step explanation:

The factors chosen are 35 and 38 which multiplied = 1330(the product) Laura is 3 years older than jon so she is 38 and Jon is 35.

A graphics company charges $50 per hour to create a logo plus $250 for the ownership rights of the logo. A private contractor charges $75 per hour to develop a logo plus a $100 supply fee.

Which equation can be solved to determine x, the number of hours after which the costs would be the same?

50x + 250 = 75x + 100

Answers

Anwer:

x=6

Step-by-Step Explaination:

Giving brainlyest if your answer is right

Answers

Answer:

-147 because -21x7 equals -147

Step-by-step explanation:

Hurry leaving for church

Answers

Answer:

250 ft/mile

Step-by-step explanation:

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

the shopkeeper sold a laptop having its cost price rupees 25000 at a profit of 25% find its selling price ​

Answers

Answer:

Let's see what we have here. A shopkeeper sold Item X for a his selling price (SP).

Let SP = x

Since the question says that Profit is 25% of the selling price, we have:

Profit = 25% SP = 0.25x

Now, we already know that:

Profit = SP - Cost

This part is the catch. To find out how much Item X originally cost,

Cost = SP - Profit = x - 0.25x = 0.75x

Now that we know the original cost of Item X, we can easily calculate the Real profit % using this formula:

= (Profit/Cost)*100

= (0.25x/0.75x)*100

= 33%

And there you have it. Hope I explained it clear enough.

Answer:

Step-by-step explanation:

Cost price = CP = ₹ 25,000

Profit% = 25%

Selling price = SP

[tex]SP =\dfrac{100+profit}{100}*CP\\\\\\=\dfrac{100+25}{100}*25000\\\\=\dfrac{125}{100}*25000[/tex]

= 125 * 250

= ₹31250

Xavier, Yosef & Zeke are three brothers. All together they can do 56 push-ups in 3 minutes. Xavier does as many as Yosef and Zeke combined. Zeke does two less than half as many as Yosef does. How many push-ups does Yosef do?

A. 12
B. 28
C. 8
D. 6
E. 20​

Answers

Yosef did 20 push-ups

Xavier(x), Yosef(y), Zeke(z).
x+y+z=56
y+z=x
(y/2)-2=z
we plug in for z to solve for y

y+(y/2)-2=x
Combine like terms
1.5y-2=x
Plug in for x and z in terms of y in the original problem

1.5y-2+y+.5y-2=56
Add like terms
3y-4=56
Add 4 from both sides
3y=60
Divide both sides by 3
y=20


Angela plays soccer and golf for a total of 125 minutes every day. She plays soccer 45 minutes more than she plays golf.

Part A: Write a pair of linear equations to show the relationship between the number of minutes Angela plays soccer (x) and the number of minutes she plays golf (y) every day. (5 points)

Part B: How much time does Angela spend playing golf every day? (3 points)

Part C: Is it possible for Angela to have spent 80 minutes playing soccer every day? Explain your reasoning. (2 points)

(10 points)

will give brainliest if u do all parts!!!

Answers

Part A

Answers:

x+y = 125

x = y+45

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

Explanation:

The first equation represents Angela playing both sports a combined 125 minutes. We simply add the variables x and y to represent adding the times for soccer (x) and golf (y).

Because she plays soccer 45 minutes more compared to golf, we also have the equation x = y+45.

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

Part B

Answer:  40 minutes

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

Explanation:

The second equation from part A says x = y+45

Because of this, we'll replace the 'x' in the first equation with y+45 and solve for y. I'm using the substitution rule.

So,

x+y = 125

y+45+y = 125 .... replace x with y+45

2y+45 = 125

2y = 125-45

2y = 80

y = 80/2

y = 40 minutes is the amount of time playing golf per day.

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

Part C

Answer: No it's not possible.

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

Explanation:

We found that y = 40 earlier. Let's used this to find x

x = y+45

x = 40+45

x = 85

Therefore, Angela spends 85 minutes playing soccer everyday. It's close to 80 minutes, but not quite there. So it's not possible that she spent 80 minutes playing soccer everyday.

Another way to show this is to say x+y = 80+40 = 120 which is five minutes short of the 125 minute goal.

Sally has a collection of 600 skirts. Of these shirts, 25% are blue, 30% are pink, and the rest are black. How many skirt's in Sally’s collection are black?

Answers

Answer:

270

Step-by-step explanation:

because 25% blue 30% pink

so 25+30=55

100-55=45

600×45%=270 shirts

Answer the question as soon as possible

Answers

Answer:

D. Distributive

Step-by-step explanation:

This is:

a(b + c) = ab + ac  - Distributive property

Correct choice is D

Lily buys 378 crystals for 6 dollars,
What is the cost of 109 crystals?

Answers

About $1.73. Since 378 cost six dollars, The price of one equates to be about 0.0158. Using this knowledge, we can multiply by 109 to get roughly 1.7301

6. What type of slope does the equation
7x + 3y = 15 have? (Hint: convert to slope
intercept form.)
A) positive
B) Negative
C) Zero
D) Undefined

Answers

Answer: B) Negative

Step-by-step explanation:

We can convert the line 7x + 3y = 15 into the slope-intercept form (y = mx + c) by making y the subject of the equation. In this form the coefficient of x (m) is the slope.

Since 7x + 3y = 15

                 3y = -7x + 15

                   y = - ⁷/₃x + 5

∴ the slope is NEGATIVE.

Check your answer:

A line with a negative slope is highest to the left and lowest to the right. This is because when x values increase, the y  values decrease, and when x values decrease, y values increase (the two variables are negatively related). If we graph the line this should be true, and it is.

WILL MARK BRAINLIEST
Evaluate the answer in exponential form

Answers

Answer:

-2.0000 times -2.000 = 4

Step-by-step explanation:

Solve for x.

X +1/2=3/4

O X = - 1/2
O X = 1/2
O X = -1/4
O X = 1/4​

Answers

Answer is 1/4
Hope this helps :)
Tell me if I’m wrong
X= 1/4, the last one

what is larger a meter or 3feet

Answers

Answer:

Meter by a bit

Somebody please help !

Answers

Answer:

Translation

Step-by-step explanation:

Answer:

7 for your x axis and -3 for Y

So your are going from G to H, thats important.

You go to the right seven times and down (hence -3) three times


The map shows the location J of Jose's house, the location of Tyrell's house, and the
location Fof the football field. Jose is going to Tyrell's house and then the two of them are
going to the football field for practice. How far did Jose travel to football practice?

Answers

Using distance between two points, it is found that Jose traveled 25 units of length to football practice.

The distance between two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given by:

[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

First, Jose goes from his house, at (-6,8), to Tyrell's house, at (6,8), thus:

[tex]D_1 = \sqrt{(6 - (-6))^2 + (8 - 8)^2} = \sqrt{12^2} = 12[/tex]

Then, he goes from Tyrell's house, at (6,8), to the football field, at (6, -5), thus:

[tex]D_2 = \sqrt{(6 - 6)^2 + (-5 - 8)^2} = \sqrt{13^2} = 13[/tex]

The total distance is:

[tex]D = D_1 + D_2 = 12 + 13 = 25[/tex]

Jose traveled 25 units of length to football practice.

A similar problem is given at https://brainly.com/question/22532602

can someone please help

Answers

Answer:

the slope is -8

Step-by-step explanation:

Please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee thx

Answers

Answer:

Well, the answer is n= -1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

How to solve this question?????
Help me please

Answers

Answer: 24/10

Answer: 24/10Step-by-step explanation:

1) 1*1÷10 +1*1÷5+2÷20

2)(1*10+1)/10+(1*5+1)/5+2/20 3)11/10+6/5+2/20

4)11/10+6/5+1/10

5)11/10+12/10+1/10

6)(11+12+1)/10

7)24/10

Hope it helps!Please mark me brainest and follow me to get the answer faster

Guys please help I hate geometry

Answers

Answer:

m∠1 = 75° m∠2 =45° m∠3 = 60°

Step-by-step explanation:

m∠1 = 180 - { (180 - 135) + (180 - 120) }

m∠1 = 180 - { 45 + 60 }

m∠1 = 75°

The angle between 1 and 3, lets call it x,  is vertically opposite to ∠2, so we must find it first to be able to get ∠2

Since a ║b

Therefore ∠x and ∠135 are co-interior angles

Therefore ∠x = 180-135

m∠x = 180 - 135

m∠x = 45°

∠2 = ∠x (Vertically opposite angles)

∠2 = 45°

Between ∠2 and ∠3 there is an angle, let's call it z.

∠z = ∠1 (Vertically opposite angles)

∠z = 75°

Since the sum of angles 2, z and 3 = 180° (Straight angle)

Therefore m∠3 = 180 - (∠2 + ∠z)

m∠3 = 180 - (45 + 75)

m∠3 = 60°

Or in a different way

∠2 + ∠z + ∠3 = 180

45 + 75 + ∠3 = 180

120 + ∠3 = 180

∠3 = 180 - 120

∠3 = 60°

Hope it helps

What type of polynomial is P(x)=x3−1?
A. cubic
B. quintic
C. linear
D. quartic

Answers

Answer:

A.

Step-by-step explanation:

Cubic because the highest exponent is 3.

The classification of the polynomial P(x) = x^3−1 by degree is; Cubic. Hence, option A is correct.

What are polynomials forms?

Generally, polynomials take the form,

P(x) = ax^n + bx^(n-1) + cx^(n-2).... + z

where:

a, b....= arbitrary constants

x = variable

n = highest power of the variable in the polynomial

The given polynomial is P(x) = x^3−1

The classification of the polynomial P(x) = x^3−1 by degree is; Cubic.

Cubic function is one that has the highest exponent is 3.

Hence, option A is correct.

Read more about this concept;

brainly.com/question/2706981

#SPJ5

y = 7x + 3, if x = 3

Answers

y=24

Step-by-step explanation:

y=7*3 +3

y=21+3

y=24

Due tomorrow plz help me

Answers

7y-3°=3y+13°
7y-3y= 13°+3°
4y= 16°
y=4°

Substitute y
7(4)-3°= 25°
3(4)+13=25°

180°-25°-25°=130°

2(2x+3)°+130°=180°
4x+136°=180°
4x=44°
x=11°

Factor the expression

Answers

Answer:

(2x+1)(x−2)(2x−5)

Step-by-step explanation:

(3x−6)(4x2−1)−(2x−4)(4x2+4x+1)

4x3−16x2+11x+10

=(2x+1)(x−2)(2x−5)

Which of the binomials below is a factor of this trinomial ? [tex]x^{2} +5x+6[/tex]

Answers

MARK "BRAINLIEST" FOR MORE HELPFUL CONTENT!

A. x + 3

MARK "BRAINLIEST" FOR MORE HELPFUL CONTENT!

EXPLANATION:

[tex]x^{2} +5x+6\\ = (x+2) * (x + 3)[/tex]

MARK "BRAINLIEST" FOR MORE HELPFUL CONTENT!

Therefore:

The correct answer: A. x + 3.

MARK "BRAINLIEST" FOR MORE HELPFUL CONTENT!

A.
22 cm
6.5 cm
5 cm

-
Find volume

Answers

Answer:

357.5cm³

Step-by-step explanation:

To find the volume of the prism, find the area of the triangle and multiply it by the height

Area of the triangle

a = 1/2 × base × height (of the triangle)a = 1/2 × 22 × 5 = 55cm²

Volume of prism

55 × 6.5 = 357.5cm³

Answer: 357.5cm³

Hope this helps!


Please help!!

Answers:
A)Triangle HGF is congruent to triangle FEH.
B) Triangle GFH is congruent to EFH
C) Angle KHE is congruent to angle KHG
D)Angle GHK is congruent to angle EFK
E)Segment EH is congruent to segment GH
F)Segment HG is congruent to FE
G)Segment FH is congruent to segment HF

Answers

Answer:

I guess HEF is congruent to GFH

But it's just guess I'm not confirm

Answer:

A.

Step-by-step explanation:

the triangle HGF is congruent to traingle FEH

Can someone pls help me

Answers

18/24=0.75

?/80=.75

80x.75=?

?=60

5x+10=60

    -10  -10

5x=50

/5   /5

x=10

sub x in for 10

10x5=50+10=60

C.X=10

It’s Ccccccccccccccccccc

The maximum throwing speeds of pitchers on one team are shown in the table.

A 1-column table with 6 rows. Column 1 is labeled Maximum pitching speed (miles per hour) with entries 75, 60, 63, 51, 45, 48.

The mean of the data set shown in the table is 57. What is the mean absolute deviation?
6
9
9.5
12

Answers

The answer is 9 trust big dawg, muyayno

Answer:

9

Step-by-step explanation:

Jack’s recipe calls for One-half teaspoon of baking powder. He cannot find the One-half teaspoon measuring spoon. Instead, Jack uses the One-eighth teaspoon measuring spoon to add Three-eighths teaspoon of baking powder. Which statement is true? Jack should stop adding baking powder because One-eighth equals . Jack should add more baking powder because Three-eighths is less than One-half. Jack should add more baking powder because Five-eighths is less than One-half. Jack has added too much baking powder because is greater than .

Answers

Answer:

Jack should add more

Step-by-step explanation:

Because four eighth is half

And he only added 3/8

So when he adds 1/8 more the sum becomes 4/8

4/8=1/2

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