5.
Geometric Sequence goes from one term to the next by always multiplying by the same
value.
Examples:
1, 2, 4, 8, 16,...... common multiplier is multiply by 2
27, 9, 3, 1, 2,........ Common multiplier is multiplied by 13
t(n) = ab"
b= common multiplier
n = term # (the nth term)
a= zeroth term
Given the sequence 70, 49, 34.3, 24.01, ....
a. What is the common multiplier?
b. What is the zeroth term?
c. What is the value of the 25th term t(25)?

Answers

Answer 1

Answer: See explanation

Step-by-step explanation:

a. What is the common multiplier?

This will be gotten by dividing the second term by the first term. This will be:

= 49/70 = 0.7

Common multiplier = 7/10 or 0.7

b. What is the zeroth term?.

a = 70

The zeroth term is 70

c. What is the value of the 25th term t(25)?

nth term = ar^n-1

25th term = ar^25-1

= ar^24

= 70 × 0.7^24

= 70 × 0.0001916

= 0.013412


Related Questions

help please i forgot how to do it, its easy tho

Answers

Answer:

answer is 20................................

What is the area of the triangle?
2
2

Answers

Answer:

A=h(b)b/2

Step-by-step explanation:

Find the range of the function f(x)=x2+5 given the domain (-2,-1,0,1,2)?

Answers

Answer:

(5, 6, 9)

Step-by-step explanation:

The domain is basically the set of all x values while the range is the set of all y values, in this case, it's the values of f(x). To find the range, we can plug the x values into the equation:

f(-2) = 9

f(-1) = 6

f(0) = 5

f(1) = 6

f(2) = 9

Since we can't have repeats in the range, it would be: (5, 6, 9)

A jar with screws weighs 2.9 kg. A similar jar with nails weighs 700 g. The screws weigh five times as much as the nails. How much does the jar weigh?

Answers

The jar of screws weight 14.5kg

Find the value of x, please help me :)

Answers

Answer:

x=32

Step-by-step explanation:

To make the lines parallel, the sum of the angles must be equal to 180. 2x+3x+20=180, 5x=160, x=32

Please help me with this question no links please.

Answers

Sooo the answer is: 10.99

The reason is because taking the information given, the diameter and then given the formula, you can just fill in those letters with the numbers.

pi = 3.14

diameter = 3.5

Formula: C = (3.14) X 3.5

C = 10.99 inches

Angle A terminates in the fourth quadrant with cosA= 4/5. The exact value of A is?

Answers

Answer:

324.13°

Step-by-step explanation:

Applying,

cosA = 4/5

To find the value of A, we find the inverse of the cosine of both side,

(cosA)cos⁻¹ = cos⁻¹(4/5)

A = cos⁻¹(0.8)

A = 36.87° (First quadrant)

The above value of A is its value in the first quadrant

To find the value of A in the fourth quadrant, we use the expression

∅₄ = 360-∅₁............... Equation 1

Where ∅₄= value of A in the fourth quadrant, ∅₁ = value of A in the first quadrant.

Therefore,

∅₄ = 360-36.87

∅₄ = 324.13°

Hence the value of A in the fourth quadrant is 324.13°

Please help me answer

Answers

Answer:

Step-by-step explanation:

the circumference you make it using the diameter , pi times ( 3.142 times)

C = 13* 3.142 = 40.846

Write the equation of the line through (8,-2); m = 0
ANSWER ASAP PLEASE!!

Answers

Answer:

y = -2

Step-by-step explanation:

The formula for point-slope is as follows:

y - y1 = m(x - x1)

We are given the slope, m, or 0, and we are given the point (8, -2), which we can substitute into the point (x1, y1):

y + 2 = 0(x - 8)

y + 2 = 0

y = -2

y= -2


hope this helps!

Please help me thanks :))

Answers

Answer:

What do you need help with?

Please help with this question

Answers

yes because 4x3^x =12^x since the coefficient is added to the answer because it is in the 3.

A birthday present (rectangular prism) you are wrapping has a 10 inch length, 8 inch
width, and a 4 inch height. How many square inches of wrapping paper will you need to
wrap it?


can you help me

Answers

Answer:

320 square inches

Step-by-step explanation:

10*8=80

80*4=320

final answer: 320 square inches

Badwater Basin, California, has the lowest elevation in North America. It is 279 feet below sea level. New Orleans, Louisiana, is 7 feet below sea level.

Answers

Answer:

272 feets

Step-by-step explanation:

Badwater Basin = 279 feets below sea level = - 279 feets (relative to sea level)

New Orleans = 7 feets below sea level = - 7 feets (relative to sea level)

Hence,

New Orleans is higher Than Badwater Basin by :

279 feets - 7 feets

= 272 feets

Klarissa is baking a cake. The recipe calls for \large 1\frac{3}{4} cups of flour, and Klarissa wants to triple the recipe. How much flour does she need?

Answers

Answer: [tex]5\dfrac{1}{4}\ \text{cups of flour}[/tex]

Step-by-step explanation:

Given

Klarissa requires [tex]1\ \frac{3}{4}[/tex] cups of flour to make a recipe

Convert mixed numeral to fraction

[tex]\Rightarrow 1\dfrac{3}{4}=\dfrac{4+3}{4}\\\\\Rightarrow \dfrac{7}{4}[/tex]

If she wants to triple the recipe then,

[tex]\Rightarrow 3\times \dfrac{7}{4}=\dfrac{21}{4}\\\\\Rightarrow \text{or}\ 5\dfrac{1}{4}\ \text{cups of flour}[/tex]

Find the composite area

Answers

Answer:

Area of the composite figure = 42 in²

Step-by-step explanation:

Composite area of the given figure = Area of the rectangle + Area of the right triangle

Area of the rectangle = Length × Width

                                    = 6 × 5

                                    = 30 in²

Area of the right triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                         = [tex]\frac{1}{2}(4)(6)[/tex]

                                         = 12 in²

Area of the composite figure = 30 + 12

                                                  = 42 in²

Henry says he can write an 8 in each box to make both equations true. Is he correct?

Answers

Answer:

yes it's true because 3 groups of 8 is 24

Choose the set of three sides that correctly matches each description. Each option will be used only once.

Answers

Answers:

30-60-90 triangle = 4, 8, 4*sqrt(3)45-45-90 triangle = 6, 6, 6*sqrt(2)Right triangle, but not special right triangle =  6, 8, 10Triangle but not a right triangle = 7, 8, 10Not a triangle = 7, 12, 19

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

Explanation:

The template for a 30-60-90 triangle is that the short leg x leads to hypotenuse 2x, and longer leg x*sqrt(3). If x = 4, then we get the sides 4, 8, 4*sqrt(3) which are the short leg, hypotenuse, and long leg in that order.

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

The template for a 45-45-90 triangle is that we have x as the leg length and x*sqrt(2) as the hypotenuse. If x = 6, then we end up with the sides 6, 6, 6*sqrt(2)

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

The triangle with sides 6, 8, 10 is a right triangle because a = 6, b = 8, c = 10 makes a^2+b^2 = c^2 true. I'm using the converse of the pythagorean theorem. We don't have a special right triangle because these sides do not fit the templates mentioned in the previous two sections above.

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

The triangle with sides a = 7, b = 8, c = 10 on the other hand will not make a^2+b^2 = c^2 true. Note that a^2+b^2 = 7^2+8^2 = 113 which is not the same as 10^2 = 100. However, a triangle is possible because adding any two sides leads to a sum larger than the third side (triangle inequality theorem).

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

We cannot form a triangle with sides 7, 12, 19 because the sides 7 and 12 add to 7+12 = 19 but that's not longer than the third side 19.

The triangle inequality theorem says that if you want to form a triangle with sides a,b,c then the following three inequalities must all be true

a+b > c

a+c > b

b+c > a

Can someone help me with this? 13 points!

Answers

depth at point B = 5 m

Step-by-step explanation:

y = -(2/5)x - 1

Point C is located 10 m from the origin O which means that x = 10. Using this value in our equation,

y = -(2/5)(10) - 1

= -4 - 1

= -5

Find the volume of the sphere shown. Give each answer rounded to the nearest cubic unit.​

Answers

Answer: 1436 units cubed (3.14) or 1437 units cubed (π)

Step-by-step explanation:

answer depends on if you substitute in 3.14 for π or not

Use similarity to solve for the length of side XY. Round to the nearest tenth.

Answers

Answer:

5.1

Step-by-step explanation:

An apartment cost $870 per month to rent. The owner raises the price by 20% and then gives a discount of 8% to returners who sign an 18 month lease. How much less the renters who signed the 18 month lease pay per month to rent the apartment

Answers

Answer:

$34.8

Step-by-step explanation:

Given data

Cost of apartment= $870 per month

increase= 20%

Discount= 8%

Let us find the amount of increase

=20/100*870

=0.2*870

=$174

New cost = 870+174

=$1044

New cost of apartment for 18 month

=1044*18

=$18792

He gave them 8% discount

=8/100*18792

=0.8*18792

=$15033.6

Hence the monthly fee will be

=15033.6/18

=$835.2

Therefore the difference in price is

=870-835.2

=$34.8

Jason poured 1 gallon 1 quart of water into an empty 2-gallon bucket. How much more water can be added to reach the bucket's 2-gallon capacity?

Answers

Answer: 3 quart

Step-by-step explanation:

Given

Jason poured 1 gallon 1 quart of water into an empty 2 gallon bucket

1 gallon can be written as 4 quart

So, 2 gallon can be written as 8 quart

Subtract 1 gallon 1 quart(5 quart) from 2 gallon(8 quart) to get the volume added

[tex]\Rightarrow 8-5\\\Rightarrow 3\ \text{quart}[/tex]

So, 3 quart of water must be added to reach 2 gallon capacity.

NEED HELLPPP ASAP


(Thank you)

Answers

Answer:

ask your teacher it would be good for you and also teachers give u good thing about that okay but i can't help you sorry.

Step-by-step explanation:

49 × 66 + 49 × 34 = 49 × ( ____+ _____)​

Answers

Answer:

49×66+49×34 = 49× (66+34)

Answer:

49×66+49×34 = 49× (66+34)

Step-by-step explanation:

3.9047 rounded to the nearest thousandth
please help

Answers

3.905 would be 3.9047 rounded to the nearest 1000th

Answer: 3.9047 rounded to the nearest thousandth is 3.9050, or 3.905.

Step-by-step explanation:

You round 47 up to 50, which gets you to 3.9050, which you can then reduce it to 3.905.

Solve for 2. Round to the nearest tenth, if necessary.

Answers

Answer: the answer is 51.41281

Step-by-step explanation:

Sin=opp/hyp. sin(40)=x/69. x=69sin(40). x=51.41281

please help i need help

no links or ill report you

Answers

The answer is d... 2 11/12

which ratio is incorrectly written in Olivia's conversion?

Answers

Answer:

Choice 3

Step-by-step explanation:

The third fraction (third refers to the answer number) is incorrect. As written, the cups won't cancel. The correct way to do this is to invert the fraction.

4 tablespoons

===========

1/4 cup

This is an extremely important procedure to know. Make sure you understand what the basis of it is. Often  times in higher physics, you don't have a proper relationships and this method (called dimensional analysis) is the only tool you have to work with.

So each term has at least 1 cancelation that occurs with the prior term. And it is the units that you look to cancel, and that determines which way to put the intermediate steps.

Four coins are tossed in succession. What is the probability of getting all heads?

1/4
1/2
1/16

Answers

Answer:

1/16

Step-by-step explanation:

There is a 1/2 chance to flip a heads.

So, in this case, we would multiply 1/2 four times in reference to the coins being flipped a total of 4 times to find its probability.

1/2 x 1/2 x 1/2 x 1/2 = 1/16

Thus, there is a 1/16 chance that you'd get heads four times in a row.

Answer:
1/16
Step by Step Explanation:
The reason being is that all the chances will be 1/2 so you need to multiply 1/2x1/2x1/2x1/2

What is the value of this expression? 6 (24÷ 3) - 2​

Answers

Answer:

6 (24÷3) -2

6 (8) -2

48-2

=46

Brackets of division multiplication add and subtract

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