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3 years ago

What is the next term in the geometric sequence 4, -12, 36

1 answer:

7 0

The sequence is to multiply by -3. Therefore, you want to multiply by -3 which gives you 108. Since it is a negative by a positive the answer would be negative. The next term would be -108.

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Solve by applying the counting principle. James is choosing a Four-digit Passcode for his smartphone. How many different Passcod

EleoNora [17]

Answer:

10k.

Step-by-step explanation:

1) if for the 1st position can be used 0-9 digits (10 digits), for the 2d - 0-9 digits, for the 3d - 0-9 digits and for the 4th - 0-9 digits, then

2) the required number of pwd is: 10*10*10*10=10⁴=10000.

4 0

2 years ago

Given the position of the particle, what the position(s) of the particle when it’s at rest

choli [55]

The position function of a particle is given by:

$X\mleft(t\mright)=\frac{2}{3}t^3-\frac{9}{2}t^2-18t$

The velocity function is the derivative of the position:

$\begin{gathered} V(t)=\frac{2}{3}(3t^2)-\frac{9}{2}(2t)-18 \\ \text{Simplifying:} \\ V(t)=2t^2-9t-18 \end{gathered}$

The particle will be at rest when the velocity is 0, thus we solve the equation:

$2t^2-9t-18=0$

The coefficients of this equation are: a = 2, b = -9, c = -18

Solve by using the formula:

$t=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}$

Substituting:

$\begin{gathered} t=\frac{9\pm\sqrt[]{81-4(2)(-18)}}{2(2)} \\ t=\frac{9\pm\sqrt[]{81+144}}{4} \\ t=\frac{9\pm\sqrt[]{225}}{4} \\ t=\frac{9\pm15}{4} \end{gathered}$

We have two possible answers:

$\begin{gathered} t=\frac{9+15}{4}=6 \\ t=\frac{9-15}{4}=-\frac{3}{2} \end{gathered}$

We only accept the positive answer because the time cannot be negative.

Now calculate the position for t = 6:

$undefined$

6 0

1 year ago

Plz only do what i have not done

Gennadij [26K]

Answer:

7- B,A,C

8- J,A,L

9- D,E,F

10- C,D,E

11- B,A,C

12- X,Z,Y

I hope this helps!

8 0

2 years ago

A rectangle has an area of 120 square feet and a width of 8 feet. please help

madam [21]

Answer:

Step-by-step explanation:

length = 120/8 = 15 feet

perimeter = (15 + 8) x 2 = 46 feet

5 0

3 years ago

A 20-ounce candle is expected to burn for 60 hours. A 12-ounce candle is expected to burn for 36 hours. Assuming the variables a

ANTONII [103]

Because the ratio for both candles is 20/60 or 1/3 then take the number of ounces the candle has and divide by 1/3. In expression: 9 / 1/3 => 9 * 3 = 18

5 0

3 years ago

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