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lisov135 [29]
3 years ago
5

Determine the truth value of the given conditional statement

Mathematics
1 answer:
Dovator [93]3 years ago
5 0

Answer: c

A false statement implies a true statement, so the conditional statement is true

Step-by-step explanation: just took the test

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Pleasee help ill give brainliest
BigorU [14]
B or Always increasing
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3 years ago
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Look at the pentagonal numbers. Use finite differences to determine which function represents the pattern.
Ahat [919]

Answer:

f(x) = 1.5x - 0.5x

Step-by-step explanation:

The function of the pattern represented by the pentagonal numbers is the sum of three triangular numbers.

The triangular number general formula

                      x (x + 1) / 2

For  example,

The sequence

1,     3,     6,      10

                                             *

                          *              *  *

         *           *   *          *   *  *

* ,    *  *,     *   *   *,     *   *   *  *

_____________________________

The pentagonal numbers

The sequence:

1, 5, 12, 22, 35

As shown in the picture can be divided into three triangles

Triangle 2

x (x + 1) / 2

Triangle 1 and 3  (they are triangles one unit smaller than 2)

n (n + 1) / 2

n= x-1

Replacing n

(x-1) ((x-1) + 1) / 2

(x-1) (x) / 2

(x-1) x / 2

______________

Function represents the pattern

Triangle 2  + (Triangle 1  +  Triangle 3)

Triangle 1  = Triangle 3

So then,

Triangle 2 + 2* Triangle 1

x (x +1) /2  + 2* (x -1) x/2

Rearranging

0.5 x (x +1) + x(x -1)

0.5x^2 + 0.5x + x^2 -x

(0.5 x^2 + x^2)  + (0.5x -x )

1.5 x^2 - 0.5 x  

______

3 0
3 years ago
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Each music class sings 8 songs a week. How. Many songs does each class sing in 5 weeks 6 weeks 7 weeks
crimeas [40]

Answer:

40, 48, 56

Step-by-step explanation:

8x5 is 40

8x6 is 48

8x7 is 56

I hope this helps have a good day

7 0
3 years ago
a car dealer sells suvs and sedans at a ratio of 3:2 each month. if the dealer reports selling 95 cars in a month, how many of e
san4es73 [151]
It would be 57 suvs and 38 sedans sold to be a rational of 3:2
6 0
3 years ago
Jackie deposited $315 into a bank account that earned 1.5% simple interest each year.
Brrunno [24]

Answer:

copied from InesWalston expert

Money in the bank account after 3 years will be  $329.18

Step-by-step explanation:

Jackie deposited $315 into a bank account that earned 1.5% simple interest each year for 3 year, while no money was deposited into or withdrawn from the account.

We know that,

i = p.r.t / 100

Where,

i = interest

P = Principal = $315

r = Rate of interest = 1.5% annual

t = time period = 3 years

Putting the values,

i = 315 × 1.5 × 3 / 100 = $14.18

Total money in bank account = Principal + interest = 315 + 14.18 = $329.18

3 0
3 years ago
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