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2 years ago

(3m - 2) (9m + 4z) (3y - 4z)

Mathematics

1 answer:

skelet666 [1.2K]2 years ago

5 0

Answer in screenshot!

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PLS HELP DUE SOON!!!!

Alenkasestr [34]

Answer:

-4 and 0

Step-by-step explanation:

3 0

3 years ago

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The total number of fungal spores can be found using an infinite geometric series where a1 = 8 and the common ratio is 4. Find t

GalinKa [24]

Answer:

$S_{n} = \frac{2(4^{n}-1) }3} if r>1$

Step-by-step explanation:

Explanation:-

Geometric sequence:-

The geometric sequence is of the form

$a,ar,ar^{2},ar^{3}$ ……… be an infinite sequence

here first term is 'a' and ratio is 'r '

In this geometric sequence 'n' t h term is $t_{n} = a r^{n-1}$ ....(1)

Given data a1 term is '8 ' and ratio is '4'

substitute n=1 in equation(1)

$t_{1} = a r^{1-1}$ = 8

$ar=8$ ...........(2)

substitute r= 4 in equation(2)

now we get a(4)=8

dividing "4" on both sides , we get a = 2

Geometric series:-

$a+ar+ar^{2}+ar^{3}+$ .....is an infinite geometric series.

sum of this infinite series will be the upper limit of the fungal spores

that is we have to find sum of infinite series

$S_{n} = \frac{a(r^{n}-1) }{r-1} if r>1$

$S_{n} = \frac{2(4^{n}-1) }{4-1} if r>1$

$S_{n} = \frac{2(4^{n}-1) }3} if r>1$

Final answer:-

sum of this infinite series will be the upper limit of the fungal spores

$S_{n} = \frac{2(4^{n}-1) }3} if r>1$

5 0

3 years ago

what is the units digit of the sum of 1!+2!+3! ... n! when n=2019. Include an explanation and what a unit digit is.

horsena [70]

Hey!

Finding the factorial for the first few numbers, we have:

1!=1

2!=2

3!=6

4!=24

5!=120

6!=720

7!=720*7

8!=720*56

What we can see as a clear pattern from 5! and on is that our number ends with a 0, making the units digit 0. Therefore, when we add the units digit of 5! and on, we have a result of 0. So, we can simply add the units digits of 1!, 2!, 3!, and 4!, which is 1+2+6+4=13. Since the units digit is the last number, we can drop the tens place to get an answer of 3.

Feel free to ask further questions!

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3 years ago

What is the trip fuel cost for a 600 mile trip if the average cost per mile of a car is

larisa [96]

Answer:

C. $114

Step-by-step explanation:

Take the cost per mile times the miles traveled.

0.19 x 600 Multiply

114

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4 years ago

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Which statement is true based on the diagram?

Margarita [4]

Answer:

option B

Step-by-step explanation:

Triangle RST~ TRIANGLE RQP

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2 years ago

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