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S_A_V [24]
3 years ago
6

in a cave, a stalactite gets 4 millimeters longer each year. This year it is 72 centimeters long. How many years until it is 1 m

eter long?
Mathematics
1 answer:
Margarita [4]3 years ago
8 0
It’ll take 70 years until it hit 1 meter.

lmk if this helped :)
You might be interested in
Find an​ nth-degree polynomial function with real coefficients satisfying the given conditions.
lesya692 [45]

Answer:

\displaystyle f(x) = -2(x-2)(x^2+4)

Step-by-step explanation:

We want to find a third degree polynomial with zeros <em>x </em>= 2 and <em>x</em> = 2i and f(-1) = 30.

First, note that by the Complex Root Theorem, since <em>x</em> = 2i is a root, <em>x</em> = -2i must also be a root.

Hence, we will have the three factors:

\displaystyle f(x) = a(x-(2))(x-(2i))(x-(-2i))

Where <em>a</em> is the leading coefficient.

Expand and simplify the second and third factors:

\displaystyle \begin{aligned} (x-(2i))(x-(-2i)) &= (x-2i)(x+2i) \\ \\ &= x(x-2i)+2i(x-2i) \\ \\ &= (x^2 - 2ix) + (2ix - 4i^2) \\ \\ &=x^2 + 4\end{aligned}

Hence:

\displaystyle f(x) = a(x-2)(x^2+4)

Since f(-1) = 30:

\displaystyle \begin{aligned}  f(x) &= a(x-2)(x^2+4) \\ \\ (30) &= a((-1)-2)((-1)^2+4) \\ \\ 30 &= -15a \\ \\ a&= -2\end{aligned}

In conclusion, third degree polynomial function is:

\displaystyle f(x) = -2(x-2)(x^2+4)

5 0
3 years ago
Is the expression 30 + x-x2 in standard form?
Anastasy [175]
It is but it needs to be rearranged to x^2-2x+30
4 0
4 years ago
Read 2 more answers
What is the solution to the system of equations
Arada [10]

Answer:

(3,-2)

Step-by-step explanation:

Got it right!!

6 0
3 years ago
Read 2 more answers
Solve 6^x=1,296<br><br><br> X=__________a0
Troyanec [42]

Answer:

x=4

Step-by-step explanation:

6^x = 1296

Take the log base 6 on each side

log6(6^x) = log6(1296)

Rewrite 1296 as 6^4

x = log 6(6^4)

We know that log( a^b) = b log (a)

x = 4 log6(6)

We know that loga(a) =1

x = 4 *a

x =4

5 0
3 years ago
Read 2 more answers
Need help on this math study guide
photoshop1234 [79]

8.

2 terms on left side, 3 on right side

9.

All variables count as coefficients,  so they’d be 8m, k, and -16k

10.

The constants are just numbers on their own, or without a variable next to it. Here it’d be 10 and -4


6 0
3 years ago
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