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erma4kov [3.2K]
3 years ago
15

15.4 = -2.1 + a 0.2help pleasee​

Mathematics
1 answer:
pentagon [3]3 years ago
8 0

Answer:

a = 3.5

Step-by-step explanation:

15.4=-2.1+\frac{a}{0.2} \\\\\frac{a}{0.2} =15.4+2.1\\\\\frac{a}{0.2} =17.5\\\\a=3.5

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At what points does the curve r(t) = ti (4t − t2)k intersect the paraboloid z = x2 y2? (if an answer does not exist, enter dne.)
Aleonysh [2.5K]
\mathbf r(t)=x(t)\,\mathbf i+y(t)\,\mathbf j+z(t)\,\mathbf k=t\,\mathbf i+(4t-t^2)\,\mathbf k
\implies \begin{cases}x(t)=t\\y(t)=0\\z(t)=4t-t^2\end{cases}

So the paraboloid is given by

z(t)=x(t)^2y(t)^2\iff 4t-t^2=0

which holds for t^2-4t=t(t-4)=0, i.e. when t=0 and t=4.

To make sure this is correct, plug in t=0 and t=4 to find out the value of \mathbf r(t), and see if these points are on the paraboloid.

\mathbf r(0)=0\,\mathbf i+0\,\mathbf j+0\,\mathbf k\implies (0,0,0)
0=0^2\times0^2

\mathbf r(4)=4\,\mathbf i+0\,\mathbf j+(4\times4-4^2)\,\mathbf k\implies (4,0,0)
0=4^2\times0^2

Both of these hold, so the answer is correct.
8 0
3 years ago
An ancient Chinese candle clock tells the amount of time that has passed by the amount of wax that has been melted off the candl
maxonik [38]

Answer:

Time = 560\ mins

Step-by-step explanation:

Given

Candles = 2 --- candles melted

Divisions = 12

Time = 4\ hrs --- time to melt

Required

The time since the first was lit

If 1 candle melts in 4 hours, 2 candles will melt in 8 hours.

i.e.

x = Candles * Time

x = 2 * 4hrs

x = 8hrs

For the 3rd candle that has melted, 4 inches

First, calculate the fraction that melt

Fraction = \frac{Melt}{Division}

Fraction = \frac{4}{12}

Fraction = \frac{1}{3}

The time to melt is:

y = Fraction * Time

y= 4 * \frac{1}{3}

y= \frac{4}{3}hrs

So, the required time is:

Time = x + y

Time = 8hrs + \frac{4}{3}hrs

Convert to minutes

Time = 8*60mins + \frac{4}{3}*60mins

Time = 480mins + 80mins

Time = 560\ mins

4 0
3 years ago
Use Liam DeWitt's Flash Card statement and the credit calendar for Exercises a-e.
Leno4ka [110]

The answers for this task are gotten in most cases by Careful Observation of Liam DeWitt's Bank Account Information.

<h3>What is a Bank Account Information?</h3>

A bank account information refers to all the details present on or which can be deduced from one's statement or record of banking activities..

Liam's Average Daily Balance is: Total sum of balance each day divided by the number of days. That is
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D) Liam's New Balance is calculated by removing new inflow from old balance. That is

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E) Liam's Available Line of Credit is clearly stated as $4,000.

See the link below for more about Bank Account Information:

brainly.com/question/15525383

8 0
2 years ago
How many 2-letter combinations can be made from the letters A, B, C, and D?
yulyashka [42]

Answer:

12

Step-by-step explanation:

each letter can be used with each other 3 times and there are 4 letters so 12

5 0
3 years ago
Read 2 more answers
Could the following side lengths form a right triangle? Elplain 11,60,61
Bogdan [553]

Answer:

Yes

Step-by-step explanation:

A^2+B^2=C^2

11^2+60^2=61^2

121+3600=3721

3721=3721

:)

5 0
2 years ago
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