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vredina [299]
1 year ago
6

10 Points + BRANIEST

Mathematics
1 answer:
S_A_V [24]1 year ago
7 0

Answer:

Step-by-step explanation:

So, we’re probably looking at a n9-m0 cusp, since adding 0 to a number gives a sum lower than adding 9 to a slightly smaller number, something that isn’t true elsewhere in the cycle.

We need a n9 where the sum n+9 is divisible by 3. 9 is divisible by 3 already, so n must be divisible by 3 as well. So, it’s 0, 3, 6, or 9.

Taking as the most likely 3 (because a 39 year old is more likely than a 9 year old, 69 year old, or 99 year old to have a child who doesn’t already know their father’s age) we’ll try 39, 40. 3+9=12, 4+0=4, 12/3=4, this is a possible solution.

     

Do the others work?

0+9=9, 1+0=1, 9/4=/=1

6+9=15, 7+0=7, 15/4=/=7

9+9=18, 1+0+0=1, 18/4=/=1

1+2+9=12, 1+3+0=4, 12/3=4

there are at least two possibles. the father was correct, the father cannot determine his age from what she has been told, she must guess. From what she knows of him, is it more likely that he’s 39, or 129, or even older?

You might be interested in
X=6<br> is a solution to the inequality x−5≤ 10<br><br> True or False?
vekshin1

Answer:

  • \boxed{\sf{FALSE}}
  • \boxed{\sf{x\leq 15}}

Step-by-step explanation:

Isolate the term of x from one side of the equation.

<h3>x-5≤10</h3>

<u>First, add by 5 from both sides.</u>

\sf{x-5+5\leq10+5}

<u>Solve.</u>

<u>Add the numbers from left to right.</u>

\sf{10+5=15}

\Longrightarrow: \boxed{\sf{x\leq 15}}

  • <u>Therefore, the solution is x≤15, which is our answer.</u>

I hope this helps you! Let me know if my answer is wrong or not.

6 0
2 years ago
Read 2 more answers
Are these correct? Please actually check them I really can't get them wrong
Zarrin [17]
Number 2 is $4 not $.40 and 3 is 10% OFF not added to. Those are all I had time to check but 1 is right
5 0
3 years ago
Read 2 more answers
What is the solution set of the following equation?
Maslowich

-8x + x + 15 = -7x + 12\\\\-8x+x+7x=12-15\\\\0=-3\\\\x\in\emptyset

8 0
3 years ago
Please help . 20 points for right answer
siniylev [52]
You would add up the percentages first, which would bring everything up to 35%. You would then take the original cost of the item, which is $30 and multiple it by the 35%. 

The equation would look like...

30 x .35 = 

This will give you $10.50, which isn't the final answer.

You would then subtract 10.50 from the $30 that was asked for at the beginning by the retailer. 

Your final answer is $19.50. :) Which isn't a bad deal if I say so myself.
3 0
2 years ago
EXAMPLE 1 (a) Find the derivative of r(t) = (2 + t3)i + te−tj + sin(6t)k. (b) Find the unit tangent vector at the point t = 0. S
Tatiana [17]

The correct question is:

(a) Find the derivative of r(t) = (2 + t³)i + te^(−t)j + sin(6t)k.

(b) Find the unit tangent vector at the point t = 0.

Answer:

The derivative of r(t) is 3t²i + (1 - t)e^(-t)j + 6cos(6t)k

(b) The unit tangent vector is (j/2 + 3k)

Step-by-step explanation:

Given

r(t) = (2 + t³)i + te^(−t)j + sin(6t)k.

(a) To find the derivative of r(t), we differentiate r(t) with respect to t.

So, the derivative

r'(t) = 3t²i +[e^(-t) - te^(-t)]j + 6cos(6t)k

= 3t²i + (1 - t)e^(-t)j + 6cos(6t)k

(b) The unit tangent vector is obtained using the formula r'(0)/|r(0)|. r(0) is the value of r'(t) at t = 0, and |r(0)| is the modulus of r(0).

Now,

r'(0) = 3t²i + (1 - t)e^(-t)j + 6cos(6t)k; at t = 0

= 3(0)²i + (1 - 0)e^(0)j + 6cos(0)k

= j + 6k (Because cos(0) = 1)

r'(0) = j + 6k

r(0) = (2 + t³)i + te^(−t)j + sin(6t)k; at t = 0

= (2 + 0³)i + (0)e^(0)j + sin(0)k

= 2i (Because sin(0) = 0)

r(0) = 2i

Note: Suppose A = xi +yj +zk

|A| = √(x² + y² + z²).

So |r(0)| = √(2²) = 2

And finally, we can obtain the unit tangent vector

r'(0)/|r(0)| = (j + 6k)/2

= j/2 + 3k

8 0
3 years ago
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