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lbvjy [14]
3 years ago
13

Select the option fo “?” That continues the pattern in each question. 3, -6, 12, 4, 20, ?

Mathematics
1 answer:
Elza [17]3 years ago
6 0

Answer:

The sixth number in series is 13.

Step-by-step explanation:

Given series : 3, -6, 12, 4, 20, ?

The pattern followed by the series is:

The first number = 3

Second number = 3 - 9 = - 6

Third number = - 6 + (9 ×2) = -6 + 18 = 12

Fourth number = 12  - 8 = 4

Fifth number = 4 + (8 ×2) = 20

Sixth number = 20 - 7 = 13

Seventh number = 13 + (7 ×2) =  13 + 14 = 27 and so on.

So as per the above pattern, the sixth number in the series is 13.

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The table shows the height of a plant as it grows. Which equation in point ­slope form gives the plant’s height at any time
vodka [1.7K]

Answer:

Option A is correct.

y-16=8(x-2) is the equation represent the point slope form gives the plant's height at any time.

Step-by-step explanation:

Point slope intercept form: For any two points (x_1, y_1) and  (x_2, y_2) then,

the general form

y-y_1=m(x-x_1) for linear equations;  where m is the slope given by:

m =\frac{y_2-y_1}{x_2-x_1}

Consider any two points from the table;

let A= (2 , 16) and B =(4, 32)

First calculate the slope of the line AB:

m =\frac{y_2-y_1}{x_2-x_1}=\frac{32-16}{4-2}=\frac{16}{2} = 8

Therefore, slope of the line m = 8

Then,

the equation of line is:

y-y_1=m(x-x_1)

Substitute the value of m=8 and (2, 16) above we get;

y-16=8(x-2)

Therefore, the equation in point slope form which gives the plant's height at any time is; y-16=8(x-2) , where x is the time(months) and y is the plant height (cm)


5 0
3 years ago
Read 2 more answers
A tank containing 2.85 cube of oil how many bottles of 300 ml capacity can be filled out of it​
Ronch [10]

Answer:

9,500 bottles.

Step-by-step explanation:

1 cubic meter = 1000000 milli liters

We can convert (2.85 cubic meter) to (milli liters) as

1 cubic meter = 1000000 milli liters

2.85 cubic meter = X milli liters

If we Cross multiply and find X, we have

X milli liters = [(2.85 cubic meter × 1000000 milli liters) ] / 1 cubic meter

X= 2850,000 milli liters

Then (2.85 cubic meter) will be equal to ( 2850,000 milli liters)

Capacity of the Bottle = 300 ml

Number of bottles that 300 ml capacity can be filled out of it =

(2850,000 milli liters) / (300 ml)

= 9,500 bottles.

8 0
3 years ago
In assessing the validity of any test of hypotheses, it is good practice to a. examine the probability model that serves as a ba
ehidna [41]

Answer:

The Correct option is - d. all of the above.

Step-by-step explanation:

To find - In assessing the validity of any test of hypotheses, it is good practice to

a. examine the probability model that serves as a basis for the test by using exploratory data analysis on the data.

b. determine exactly how the study was conducted.

c. determine what assumptions the researchers made.

d. all of the above.

Proof -

All the Given options are correct to study the validity of a hypothesis test.

So,

The Correct option is - d. all of the above.

4 0
3 years ago
1. Another way to think of your net earnings is
liubo4ka [24]

Answer:

amount of your paycheck is the correct answer because the summation of all check paid to me will be my net earning.

3 0
3 years ago
Solve by factoring:
DerKrebs [107]
A.<span>(x+3)(x+4)=<span>0
x=-3,-4
B.X=5,4
hope this helps
</span></span>
7 0
3 years ago
Read 2 more answers
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