The sum of the 112th term of the geometric series is 256 and the common ratio is 3/4. Find the first term of the first geometric series.

The Sum Of The 112th Term Of The Geometric Series Is 256 And The Common Ratio Is 3/4. Find The First

Answers

Answer 1

Answer:

First term = 64

Step-by-step explanation:

We are given the formula for the nth term of a geometric series to be;

S_n = (a1(1 - rⁿ))/(1 - r)

Where:

S_n is the sum of n terms

A1 is first term

r is common ratio

We are given;

S_112 = 256

r = ¾

Thus;

256 = a1(1 - ¾^(112))/(1 - ¾)

256 = a1(4)

a1 = 256/4

a1 = 64


Related Questions

At noon, a tank contained 8 in. of water. After several hours, it contained 2 in. of water. What is the
percent decrease of water in the tank?

Answers

Answer:

75%

Step-by-step explanation:

To find the percent decrease, use the percent change formula:

(difference / original) x 100

8 - 2 = 6, so the difference is 6.

Plug in the difference and original:

(6 / 8) x 100

= 75

So, the percent decrease is 75%

i will give lots of points and brainly please help asap What is the equation of the quadratic of the quadratic graph with a focus of (1,3) and a directex of y= 1 show your work please

Answers

check the picture below.

now, we know the directrix is at y = 1, and the focus point is at 1,3, well, notice the picture, the distance between those fellows is just 2 units.

the vertex is half-way between those fellows, therefore, the vertex will be at 1,2.

the distance "p", from the vertex to either the directrix or focus, is really just 1 unit.  Since the focus point is above the directrix, is a vertical parabola, and it opens upwards, like in the picture, and since it opens up, the "p" value is positive, or +1.

Due within next 5 minutes! Please help!
Mrs. B budgeted $175 per month for gasoline, $100 per month for
maintenance, and $150 per month for insurance. What is her weekly,
monthly, and yearly budget for owning her car?

Answers

Answer:

Weekly: $106.25

Monthly: $425

Yearly: $5,100

Step-by-step explanation:

Answer:

Step-by-step explanation:

WEEKS:

$175 divided by 4= 43.75

100 divided by 4= $25

150 divided by 4: $37.5

TOTAL: 106.25

YEARLY:

$175 times 12: $2,100

$100 times 12: $1,200

$150 times 12: $1,800

TOTAL: 5,100

MONTHLY: $425

Solve the equation below for x.

1/2(x+2)=7/5

Answers

Answer:

x = 4/5

Step-by-step explanation:

Disney held a breakfast for parents and their children to eat with Mickey and Minnie Mouse (and
the rest of the gang, too!) Adult tickets cost $17.95 and children's tickets cost $12.95. Disney
made $7355 from ticket sales from a total of 500 people that attended. How many adults and
how many children were at the breakfast?

Answers

176 adults 324 children

5d divided by c+2;let d=10,c=5

Answers

Answer:

here is the answer in photo form

Answer:

Step-by-step explanation:

Simple and best practice solution for (c-5)d=2 equation. ... If it's not what You are looking for type in the equation solver your own equation and let us solve it. ... 2 + 5d cd = 2 + 5d Divide each side by 'd'. c = 2d-1 + 5 Simplifying c = 2d-1 + 5 Reorder ... 11/4-t8 | | (3x^2+5x+2)+(4x^2+3x+2)= | | 4Y+7-Y=4+2Y-8 | | 10x+190=360 ...

For example, let's say with have the equation x+5 ... If we evaluate the same expression when x=10 , we get: 3(10)+7=30+7=37 . Here's a variable expression with two variables : 3x−2y ... How do you express the phrase "a number z divided by 19" as an algebraic expression? ... How do you simplify 11c+5d−9c−9d?Let the number of cows be x and their legs be 4x. ... or, x = 7 [dividing by 2 on both sides]. ... The roots of the equation ax2 + bx + c = 0 will be reciprocal if: ... A circle of radius 10 inches has its center at the vertex C of an equilateral triangle ABC ... (a) 15, (b) 30, (c) 60, (d) 90, (e) 120. Circle Problem Answers. Answer: (b) 5.

You want to buy carpet for your living room. The room is rectangular and the dimensions are 10 feet by 6 feet. How many square feet of carpet do you need to buy?

Answers

Answer:

60 ft^2

Step-by-step explanation:

This is a problem where you calculate the area of a rectangle A=bh. b=10 and h=6 so A=6*10 or 60 ft^2

Which division problem would have an estimated quotient of 15 if the divisor and dividend were rounded to the nearest whole number?
90.24 divided by 6.3
79.85 divided by 3.99
85.01 divided by 16.77
59.87 divided by 10.21

Answers

Answer:

A. 90.24 divided by 6.3

Step-by-step explanation:

We take each option one by one and solve for it

A. 90.24 divided by 6.3

Divisor = 90.24

Dividend = 6.3

if the divisor and dividend were rounded to the nearest whole number?

= 90÷ 6

= 15

Answer:

A, I got it right on edge.

Step-by-step explanation:

Which is a graph for the inequality m greater than or equal to 2?

Answers

Answer:

The third one is the answer. if you ever need help hit me up.

Step-by-step explanation:

what is the volume ​

Answers

Answer:

The volume is 227.5

Step-by-step explanation:

The volume for a triangular prism, such as this is, (lxwxh)/2. Because in all shapes volume equals the area multiplied by the height or depth. And an area of a triangle is l or base multiplied by the altitude or w, divided by 2. So the area would be 5x7/2, 35/2, 17.5. And the volume would be 17.5x13, 227.5

Evaluate the expression on top helllp pls

Answers

Answer:

159

Step-by-step explanation:

Answer:

the answer is 59

Step-by-step explanation:

apply

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

First, add inside the parentheses. Your equation is now 8^2-5.

8 squared is sixty four, and subtract five to get 59. Hope this helped!

Evaluate 2/g + 2h + 5 when g=3 and h=6

Answers

Answer:

17 2/3

Step-by-step explanation:

2/g + 2h + 5 when g = 3 and h = 6

~Substitute

2/3 + 2(6) + 5

~Simplify

2/3 + 12 + 5

~Add

12 2/3 + 5

~Add

17 2/3

Best of Luck!

The answer is 17.67 is u rounded , or 17.666

PLEASE HELP ME!!! ASAP!! ITS ALMOST DUE!!

Answers

Answer:

I'm pretty sure it's the first one. If i'm wrong i am terribly sorry

Step-by-step explanation:

Answer:

Y-intercept is -6 and the slope is 1

Step-by-step explanation:

You can use Y2-Y1/X2-X1 to find the slope. Then, you can use y=mx+b to find the y-intercept.

2)
Mike went to the doctor and was found to be 20 pounds overweight.
The doctor discovered that Mike ate an average of 2000 calories per
day. He said for Mike to lose weight and meet his goal, the maximum
amount of calories he could eat per day was 1750. How many calories
will Mike be cutting out each week (7 days)?

Answers

Answer:

1750 Calories

Step-by-step explanation:

2000-1750=250

250x7=1750

What is the slope and y-intercept of the equation 3(y-2) + 6(x+1)-2 = 02

Answers

Answer:

i think its b

Step-by-step explanation:

just quessing though

Help with trigonometry homework

Answers

By definition of tangent,

tan(A - π/4) = sin(A - π/4) / cos(A - π/4)

Expand the numerator and denominator using the angle sum identities for sin and cos:

tan(A - π/4) = (sin(A) cos(π/4) - cos(A) sin(π/4)) / (cos(A) cos(π/4) + sin(A) sin(π/4))

Divide through everything on the right by cos(A) cos(π/4):

tan(A - π/4) = (sin(A) / cos(A) - sin(π/4) / cos(π/4)) / (1 + (sin(A) sin(π/4)) / (cos(A) cos(π/4)))

Simplify the sin/cos terms to tan:

tan(A - π/4) = (tan(A) - tan(π/4)) / (1 + tan(A) tan(π/4))

tan(π/4) = 1, so we're left with

tan(A - π/4) = (tan(A) - 1) / (1 + tan(A))

Replace tan(A) with -√15:

tan(A - π/4) = (-√15 - 1) / (1 - √15)

Then the last option is the correct one.

Jimmy bought a pair of jeans for $50 and a shirt for $25. He has a coupon to save 1/10 of the total on his purchase. How much does Jimmy pay for the jeans and shirt after the discount?

Answers

Answer:

$67.5

Step-by-step explanation:

50+25=75. Then, it's 1/10 of 75 which is $7.5. Then, 75-7.5 which is $67.5

Hope this helps :D Please mark brainliest

How are rates ratios and proportions used in careers in the medical field​

Answers

Answer:

Ratios and Proportions

Nurses do not prescribe medicine, but they administer medication to their patients. When doing so, they use ratios and proportions to help them. ... The ratios and proportions also allow the nurse to know how long the medication will stay in the body of the patient before needing another dosage.

Step-by-step explanation:

Answer:

they are used for comparing data

Step-by-step explanation:

even im the medical feild, mathematics is an impeccable way to explain phenomenons... by using mathematical formulas ratios and fraction, data can be communicated easier and help it to be easier to understand

A class of 32 students has 12 girls. What is the ratio of girls to boys?

A. 3:5
B. 5:3
C. 3:8
D. 8:3

Answers

Answer:

d is the answer

in think

Step-by-step explanation:

try it

Answer:

A

Step-by-step explanation:

Number of student=32

Number of girls=12

Number of boys=32-12

=20

Ratio of girls to boys=12:20

=6:10

=3:5

Determine if the lines are parallel, perpendicular, or neither. y + 3 = 7/4x and -4/7x + y = 9. Do I still have to solve y + 3 = 7/4x?

Answers

Answer:

No you dont have to solve it. And I believe it is perpendicular.

Step-by-step explanation:

Answer:

Perpendicular

Step-by-step explanation:

you have to solve both. If you make the lines in a graph it will turn out to be perpendicular because they are going to intersect.

System of Equations in Three Variables Word Problem

Answers

Answer:

i think the answer is a number or multiple number and maybe a decimal.

Step-by-step explanation:

go to Tiger Algebra Solver

The following measurements were added: 5.45 + 6.1 + 2.84. what should
the answer be reported as *
1)14.39
2)14.3
3)14.4
4)14

Answers

Answer: 14.39

Explanation:

5.45+2.84= 8.29
Then for 6.1 you add a zero to the end and make it 6.10 which is the same thing
Now 8.29+6.10= 14.39

Factor the common factor out of this expression.
25u^2+20v^2+5v

Answers

Answer:

Hi Answer Is 5(5u^2+4v^2+v)

Solve 2x +2>10 quickly please

Answers

Answer:

x > 4

Step-by-step explanation:

2x+2>10 Subtract by 2 on both sides

2x>8 Divide by 2 on both sides

x>4

Would someone please help me with this pre final practice?

Answers

Answer:

i think 5 so i say pick 5 because 19no 12no10 no so it 5

m(p + q); use m = 2, p = 6, and q = 1

Answers

I’m pretty sure it’s 14
m(p+q)
2(6+1)
2(7)
14

Answer: 14

Step-by-step explanation:

If they say that m(p+q) = 2(6+1) then we take what is in the parenthasis first (6+1) then we get (7). After that take m=2 times 7= 14

Find the remainder when f(x) = 2x3 − 12x2 + 11x + 2 is divided by x − 5.

Answers

Answer: I couldn’t find your answer to this mathematics question, try a different question to this mathematics answer so I can get it.

Step-by-step explanation:

Answer:

Its 7 pls brainliest

Step-by-step explanation:

Which ordered pair is a solution to the system

Answers

9514 1404 393

Answer:

  (3, 1)

Step-by-step explanation:

The lines on the graph cross at the point (x, y) = (3, 1). That is the solution to the system of equations.

How do you get from one number to the next using multiplication or division?
From 100 to 106
From 100 to 90
From 90 to 100
From 106 to 100

Answers

Answer:

You use decimal values. Like for the first one, multiply 100 by 0.01.

Step-by-step explanation:

The multiplication or division is 10^6/10^4

How to interpret integral multiplication?

Suppose that there are two positive integer numbers( numbers like 1,2,3,.. ) as a and b

Then, their multiplication can be interpreted as:

[tex]a \times b = a + a + ... + a \: \text{(b times)}\\\\a \times b = b + b +... + b \: \text{(a times)}[/tex]

For example,

[tex]5 \times 2 = 10 = 2 + 2 + 2 + 2 + 2 \: \text{(Added 2 five times)}\\or\\5 \times 2 = 10 = 5 + 5 \: \text{(Added 5 two times)}[/tex]

Given;

From 100 to 10^6;

100 * 10^4  = 10^6

From 100 to 90;

100/10*9=90

From 90 to 100

90/9*10=100

From 10^6 to 100

10^6/10^4=100

Therefore, by multiplication or division will be 10^6/10^4

Learn more about multiplication here:

https://brainly.com/question/26816519

#SPJ2

a cook has 6 1/2 cups of sliced carrots
how many 3/4 cup servings of carrots is this

Answers

Answer
8 2/3 cup servings of carrot.

Explanation
Divide 61/2 by 3/4

Answer:8 2/3

Step-by-step explanation:

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