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alexandr402 [8]
4 years ago
9

What is the formula for the following arithmetic sequence? 12, 6, 0, -6, ...

Mathematics
2 answers:
bixtya [17]4 years ago
6 0

Answer:

an= 12 + (-6)(n-1)

Step-by-step explanation:

you should find two values: a1 and d

a1= first number =12

d= a number of the sequence mines the number of the sequence before the one you chose = 0-6 = -6

a1+(n-1)d= 12-6(n-1)

mina [271]4 years ago
3 0

Answer:

12 + (-6)(n-1)

Hope it helped <3

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Mariana [72]
Problem A,B,C, and D can be solved using 3*6=18 or 6*3=18
4 0
3 years ago
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How many liters of gasoline to fill 13.2 gallon tank?
densk [106]
<span><span>1.       </span><span>Find how many liters of gasoline to fill 13.2 gallon tank.
based on the metric conversion, there are 3.79 liters of liquid in every 1 liquid gallon.
Now, since we have 13.2 gallon tank, we need to multiply it with the given unit of conversion
=> 1 gallon = 3.79 liters
=> 13.2 gallon x 3.79 liters
=> 13.2 x 3.79
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5 0
3 years ago
Gina puts $ 4500 into an account earning 7.5% interest compounded continuously. How long will it take for the amount in the acco
Elza [17]

~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$5150\\ P=\textit{original amount deposited}\dotfill & \$4500\\ r=rate\to 7.5\%\to \frac{7.5}{100}\dotfill &0.075\\ t=years \end{cases}

5150=4500e^{0.075\cdot t} \implies \cfrac{5150}{4500}=e^{0.075t}\implies \cfrac{103}{90}=e^{0.075t} \\\\\\ \log_e\left( \cfrac{103}{90} \right)=\log_e(e^{0.075t})\implies \log_e\left( \cfrac{103}{90} \right)=0.075t \\\\\\ \ln\left( \cfrac{103}{90} \right)=0.075t\implies \cfrac{\ln\left( \frac{103}{90} \right)}{0.075}=t\implies\stackrel{\textit{about 1 year and 291 days}}{ 1.8\approx t}

4 0
1 year ago
96 sq meters
Vsevolod [243]

Answer:

84 sq meters

Step-by-step explanation:

1. Approach

In order to solve this problem, one will have to divide the figure up into simple shapes. A picture is attached showing how the shape is divided up for this answer. Find the area of each region, then add up the results to find the total area.

2. Area of Region 1

As one can see, the length of (Region 1), as given is (6), the width is (3). To find the area multiply the length by the width.

Length * width

6 * 3

= 18

3. Area of Region 2

In (Region 2), the length is given, (12). However, one must find the width, this would be the size of the total side, minus the width of (Region 1). Multiply the length by the side to find the area.

Length * width

= 12 * (8 - 3)

= 12 * 5

= 60

4. Area of Region 3

In (Region 3), the length of the figure is (2), the width is (3). To find the area, multiply the length by the width.

Length * width

= 2 * 3

= 6

5. Total area

Now add up the area of each region to find the total rea,

(Region 1) + (Region 2) + ( Region 3)

= 18 + 60 + 6

= 84

7 0
3 years ago
What is the simplest form of the expression below? <br><br> -2x²(3x²-2x-6)
nirvana33 [79]

Answer:

   

Solution Given:

To find the simplest form we need to open bracket

-2x²(3x²-2x-6)

-2x²*3x²-2x²*(-2x) -2x²*(-6)\

-6x^{4}+4x^{3}+12x^2 is  a required answer.

7 0
2 years ago
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