Write in lowest terms:
4rs2/(6s)

9514 1404 393

Answer:

  recursive: 5, 3, 2

  explicit: 5, 3

Step-by-step explanation:

First of all, you can identify the first term as a1 = 5.

Then you can see that the ratio of consecutive terms is ...

  15/5 = 45/15 = 135/45 = 405/135 = 3 . . . the common ratio

In the recursive formula, a1 is the first term (5), and the multiplier getting you to the next term is the common ratio (3). The recursion relation is good for values of n such that n-1 is at least 1. That is, n ≥ 2.

  [tex]\text{The recursive rule is }a_1=\boxed{5}\text{ and }a_n=\boxed{3}a_{n-1}\text{ for }n\ge\boxed{2}[/tex]

__

The explicit rule is formed the way the problem statement tells you: the first term times a power of the common ratio.

  [tex]\text{The explicit rule is }a_n=\boxed{5}(\boxed{3})^{n-1}[/tex]

Answer:

She should multiply her current balance by 1.052.

Step-by-step explanation:

Her investment is an account with a simple interest of 5.2% per year.

So in one year, she will have 100% + 5.2% = 105.2% of her initial amount. To find the multiplier, we divide by 100%. So

105.2%/100% = 1.052

She should multiply her current balance by 1.052.

Answer:  ΔABC ≅ ΔADB

Step-by-step explanation:

In order to be similar, they must have the same angles.

    ΔABC                                  ΔADB                              ΔDBC

∠A = 180 - (2a + b)             ∠A = 180 - (2a + b)         ∠D = 180 - (a + b)

∠B = a + b                           ∠D = a + b                      ∠B = b

∠C = a                                 ∠B = a                            ∠C = a

ΔABC and ΔADB have the same angles so they are similar.

Answer:

Stohr sequence

Step-by-step explanation:

Let a_1=1 and define a_(n+1) to be the least integer greater than a_n which cannot be written as the sum of at most h>=2 addends among the terms a_1, a_2, ..., a_n. This defines the h-Stöhr sequence

Answer: Poisson distribution

Step-by-step explanation:

The Poisson distribution simply measures the chance for an event occuring based on a particular period of time. It is typically useful for finding the probability of events that have low probabilities of occuring.

Therefore, the distribution that will be ideal in knowing the number of fatalities in Texas in a given year due to poisonous snakebites is the poisson distribution.

Answer:

Step-by-step explanation:

H

Step-by-step explanation:

Volume of a cube

= (Side length of cube)³

= (4 yards)³

= 64 cubic yards. (D)

Answer:

brand name and model - - > CATEGORICAL

whether it has a top freezer, bottom freezer, or side-by-side LAYOUT - - > CATEGORICAL

the estimated energy consumption per year (kilowatts); - - - > QUANTITATIVE

whether or not it is Energy Star COMPLIANT - - > CAREGORICAL

the width, depth, and height in INCHES - - - > QUANTITATIVE

both the freezer and refrigerator net capacity, in cubic FEET - - - > QUANTITATIVE

Step-by-step explanation:

Given the following refrigerator characteristics :

brand name and model - - > CATEGORICAL

whether it has a top freezer, bottom freezer, or side-by-side LAYOUT - - > CATEGORICAL

the estimated energy consumption per year (kilowatts); - - - > QUANTITATIVE

whether or not it is Energy Star COMPLIANT - - > CAREGORICAL

the width, depth, and height in INCHES - - - > QUANTITATIVE

both the freezer and refrigerator net capacity, in cubic FEET - - - > QUANTITATIVE

To start with ; Categorical and quantitative variables differ most notably in the fact that, quantitative variables deals with numbers, measurements or calculated mathematical values of certain attribute in a measured species or sample. Categorical variable on the other hand mostly deals with making distinctions in properties of a sample by grouping the varibale into the different available categories based on their attributes.

Answer:

-3.5

Step-by-step explanation:

Flip the equation so it's 0 - 3.5 which would give you -3.5

Answer:

- 3 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Any number combined with it's opposite will make zero. The opposite of a number is the same number with it's sign flipped. For example, the opposite of 5 is -5, and the opposite of -3 is 3. If I combine any number, for example 10, with it's opposite, in this case -10, it will make zero. (10 - 10 = 0.) Hope this helps!

Answer:

x = 91/11

Step-by-step explanation:

1. x - 3/11 = 8

2. add 3/11 to both sides of the equation

3. x = 91/11

Answer: A

Step-by-step explanation:

might as well tell ur teachers ur awesome no matter wat.

Hope it will help you

Answer:

12.1 meters. Hope this helped, would love brainliest!

Step-by-step explanation:

For this question we will have to try each option.

12.675+2.3=14.975 14.975+14.975+12.675+12.675=55.3 This ones not it.

25.35+2.3=28.65 28.65+28.65+25.35+25.35=108 This ones not it either.

12.1+2.3=14.4 14.4+14.4+12.1+12.1=53 THIS ONES IT!

we do not have to do the last one

Answer:

The solution is -1,-1

Step-by-step explanation:

The solution of a graph is where the two lines intersects and the this graph intersects at -1,-1

Given:

The equation is

[tex]\dfrac{4560}{120}=38[/tex]

To find:

The inverse operation for the equation using the knowledge of inverse operations.

Solution:

We have,

[tex]\dfrac{4560}{120}=38[/tex]

Here, 4560 is divided by 120. So, in this equation the operation is division.

We know that inverse operation of division is multiplication. So, multiply both sides by 120.

[tex]\dfrac{4560}{120}\times 120=38\times 120[/tex]

[tex]4560=38\times 120[/tex]

It can be written as

[tex]38\times 120=4560[/tex]

The inverse operation for the equation is [tex]38\times 120=4560[/tex].

Therefore, the correct option is B.

Answer:

umm

Step-by-step explanation:

Answer: domain: {-2, -1, 0, 1}

range: {0, 1, 2, 3}

Answer:

[tex]y=-2x-11[/tex]

Step-by-step explanation:

Slope of the line segment = [(-8)-(-2)]/[(-9)-3]=-6/-12=1/2

Slope of the perpendicular bisector x slope of line segment = -1

Slope of perpendicular bisector = -2

Mid-point of line segment = ((-9+3)/2, (-8+(-2))/2) = (-3, -5)

The perpendicular bisector passes through the mid-point.

By point-slope form,

[tex]\frac{y-(-5)}{x-(-3)} = -2\\y+5=-2x-6\\y=-2x-11[/tex]

Answer:

Step-by-step explanation:

5 * 1/3=5/3

5/3=1 2/3 water for 5 vases

Answer:

The below is the answer to the equation. 4.5, 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

A= (7,-9)

B= ( 6,-12)

Answer:

Im not really sure but i think 10

Step-by-step explanation:

Answer:

the answer is d i took the quiz

Step-by-step explanation:

Answer:

990

Step-by-step explanation:

990

2 is lower than 5 so we round down. Instead of rounding up to 1, round down to 0