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3 years ago

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In 3 seconds, kevin can dribble a basket ball 13 times. if kevin dribbles at this same rate for 27 seconds, how many times will

he dribble the basket ball?

1 answer:

Karolina [17]3 years ago

4 0

I hope this helps you

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Find the 6th term of the arithmetic sequence X – 9, -X – 11, -3.3 – 13, ...

MrMuchimi

Answer:

$-13x-23$

Step-by-step explanation:

Given sequence: $x-9, -x-11, -3x-13$

Therefore,

$a_1=x-9$
$a_2=-x-11$
$a_3=-3x-13$

General form of an arithmetic sequence: $a_n=a+(n-1)d$

(where a is the first term and d is the common difference)

To find the common difference, subtract a term from the next term:

$\begin{aligned}d & =a_2-a_1\\ & =(-x-11)-(x-9)\\ & = -x-11-x+9\\ & = -2x-2\end{aligned}$

Therefore,

$a_n & =(x-9)+(n-1)(-2x-2)$

To find the 6th term, input n = 6 into the equation:

$\begin{aligned}\implies a_6 & =(x-9)+(6-1)(-2x-2)\\ & = (x-9)+7(-2x-2)\\ & = x-9-14x-14\\ & = -13x-23\end{aligned}$

3 0

3 years ago

How long will it take for an investment to triple if it is compounded continuously at 12%

myrzilka [38]

Answer:

9.694 years

Step-by-step explanation:

Let the investment is $P.

So, we are asked to determine the time it will grow to triple with the compound interest rate of 12%.

Let the time is y years.

So, from the formula of compound interest we can write

$3P = P(1 + \frac{12}{100} )^{y}$

⇒ $(1 + \frac{12}{100} )^{y} = 3$

⇒ $(1.12)^{y} = 3$

Now, taking log both sides we get,

y log 1.12 = log 3 {Since, $\log a^{b} = b \log a$ }

⇒ 0.04922y = 0.477712

⇒ y = 9.694 years (Answer)

3 0

3 years ago

Jason decided that he will sell his stocks if their value per share (x) goes below $5 or above $15. Which compound inequality re

Veronika [31]

Answer:

B. x < $5 or x > $15

Step-by-step explanation:

The "or" in the problem statement gives you a clue that answer choices C and D can be rejected.

If x is the stock value, then value per share "below $5" means x < $5. This corresponds with answer choice B. Of course, "above $15" means x > $15, also corresponding to answer choice B.

3 0

3 years ago

Jim had three waffles. He ate 1/6 of one waffle, and. 2/3 of another waffle. How many waffles were left?

Troyanec [42]

So find how much was eaten
1/6 and 2/3=eaten
add 1/6 and 2/3
convert bottom number to same
2/3=4/6
1/6+4/6=5/6
5/6 eaten
3-5/6=
2+1-5/6=
2+6/6-5/6=
2+1/6
2 and 1/6 waffles left

7 0

3 years ago

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Need help with a math question

Alexus [3.1K]

Answer:

0.000032,0.00000.64

Step-by-step explanation:

7 0

3 years ago

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