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Marysya12 [62]
3 years ago
10

(5n-1)(n+1)=0 factory

Mathematics
1 answer:
gavmur [86]3 years ago
3 0

Answer:

5n^2+(4n)-1

Step-by-step explanation:

(5n-1)(n+1)=0

Lets find <em>n.</em>

(5n-1)(n+1)=0

FOIL it.

5n^2+5n-1n-1

Add/Substract similar factors

5n^2+(5n-1n)-1

5n^2+(4n)-1

Thats your answer.

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Which of the following sequences of numbers are arithmetic sequences?
Pepsi [2]
Answer: B, C, E

-------

The difference between consecutive terms (numbers that come after each other) in arithmetic sequences is the same. That means you add the same number every time to get the next number. To figure out which choices are arithmetic sequences, just see if the differences are the same.

Choice A) 1, -2, 3, -4, 5, ...
-2 - 1 = -3
3 - (-2) = 5
The difference is not constant, so it is not an arithmetic sequence.

Choice B) 12,345, 12,346, 12,347, 12,348, 12,349, ... 
12,346 - 12,345 = 1
12,347 - 12,346 = 1
The difference is constant, so it is an arithmetic sequence.

Choice C) <span>154, 171, 188, 205, 222, ... 
171 - 154 = 17
188 - 171 = 17
The difference is constant, so it is an arithmetic sequence.

Choice D) 
</span><span>1, 8, 16, 24, 32, ...
8 - 1 = 7
16 - 8 = 8
</span>The difference is not constant, so it is not an arithmetic sequence.

Choice E) 
<span>-3, -10, -17, -24, -31, ...
-10 - (-3) = -7
-17 - (-10) = -7
</span>The difference is constant, so it is an arithmetic sequence.
5 0
4 years ago
Bacteria can multiply at an alarming rate when each bacteria splits into two new cells, thus doubling. If we start with only one
Elan Coil [88]

Answer:

2^24 = 16,777,216 bacterias.

Step-by-step explanation:

So we start with 1 bacteria

after 1 hours: 2*1 = 2

after 2 hours: 2*2 = 2^2 = 4

after 3 hours: 2*2^2 = 2^3  

after n hours: 2^n  

Since one day has 24 hours we have n = 24 and total number of bacteria will

be:  2^24 = 16,777,216 bacterias.

5 0
3 years ago
Question is stated in picture. The figure is a triangular piece of cloth
Anastasy [175]

Answer:

Alternative D - 8 sin(35°)

Step-by-step explanation:

Sin(x) is defined as:

\begin{gathered} \sin (x)=\frac{\text{Opposite side}}{Hypotenuse\text{ }} \\  \end{gathered}

In this exercise,

BC is the opposite side to 35°

AC is the hypotenuse and measures 8 in

Then:

\begin{gathered} \sin (35\degree)=\frac{BC}{8} \\ \sin (35\degree)\cdot8=BC \\ BC=8\sin (35\degree) \end{gathered}

4 0
2 years ago
paloma eats 2/8 of an apple in the morning and 3/8 more in the afternoon. how much of an apple did she eat in total
marishachu [46]

Step-by-step explanation:

in this problem, we are solving for the amount of apple that Paloma eats

1. she ate 2/8 of a complete apple -hence the will be a remainder, we will find  

  that remainder

2. she also ate 3/8 of the remainder for lunch

3. we then proceed to calculate all apple she ate in total

1. \frac{2}{8} *1= \frac{1}{4} \\\\1-\frac{1}{4}= \frac{4-1}{4}  = \frac{3}{4}

2 she ate 3/8 of the remaining 3/4 apple

1. \frac{3}{8} *\frac{3}{4} = \frac{9}{32}

3. in  total she ate 1/4+ 9/32

\frac{1}{4} +\frac{9}{32} = \frac{8+9}{32} = \frac{17}{32}

6 0
4 years ago
Kol and Kara solve this problem in two different ways the perimeter of a rectangle is 46 centimeters it’s length is 8 centimeter
JulsSmile [24]

Answer:

15cm

Step-by-step explanation:

because length is given as 8 cm and perimeter is length+width+length+width

so if you take 8cmX2 since its taken twice to get the perimeter and 15cmX2 you get 46cm which originally the question said was the peemiter

5 0
2 years ago
Read 2 more answers
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