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IRISSAK [1]
3 years ago
5

Exponential Function

Mathematics
1 answer:
Maslowich3 years ago
4 0

Answer:

C. If the value of x increases by 1, the value of y will triple.

Step-by-step explanation:

I calculated it logically

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Find the curvature of the parabola y=x^2 at A(1,1)
xxMikexx [17]

Answer:

Step-by-step explanation:

The curvature of the curve y=f(x) is

y=f(x)=x^2\\\\y'=f'(x)=2x\\\\y''=f''(x)=2\\\\K(x)=courbure(in\  French)=\Bigg|\dfrac{y''(x)}{(1+y'(x)^2)^{\dfrac{3}{2} } }\Bigg|\\\\At\ A=(1,1),\\K(1)=\Bigg|\dfrac{2}{(1+2^2)^{\dfrac{3}{2} } }\Bigg|\\\\=\Bigg|\dfrac{2}{(5)^{\dfrac{3}{2} } }\Bigg|\\\\=\Bigg|\dfrac{2}{5*\sqrt{5} }\Bigg|\\\\=\Bigg|\dfrac{2*\sqrt{5}}{25 }\Bigg|\\\\\\\boxed{=\dfrac{2*\sqrt{5}}{25 }}\\\\

6 0
3 years ago
If you draw three cards from a regular deck of 52 cards, what are the chances they are all hearts
masya89 [10]

Answer:

13/52

explanation:

If you have a regular set of 52 two cards and you pulled 3 cards at random from the deck you would have a 13/52 chance or a 25% chance of pulling cards that are hearts. Due to the fact that card sets have 13 heart cards.

4 0
3 years ago
Find the value of x such that 365 based seven + 43 based x = 217 based 10.
Pepsi [2]

We need to find the base x in the following equation:

365_7+43_x=217_{10}

First, lets convert 365 from base 7 to base 10. This is given by

365_7=3\times7^2+6\times7^1+5\times7^0

where the upperindex denotes the position of eah number. This gives

\begin{gathered} 365_7=3\times49+6\times7+5\times1 \\ 365_7=147+42+5 \\ 365_7=194_{10} \end{gathered}

that is, 365 based 7 is equal to 194 bases 10.

Now, lets do the same for 43 based x. Lets convert 43 based x to base 10:

43_x=4\times x^1+3\times x^0

where again, the superindex 0 and 1 denote the position 0 and 1 in the number 43. This gives

43_x=(4x+3)_{10}

Now, we have all number in base 10. Then, our first equation can be written in base 10 as

194_{10}+(4x+3)_{10}=217_{10}

For simplicity, we can omit the 10 and get

194+4x+3=217

so, we can solve this equation for x. By combining similar terms. we have

197+4x=217

and by moving 197 to the right hand side, we obtain

\begin{gathered} 4x=217-197 \\ 4x=20 \end{gathered}

Finally, we get

\begin{gathered} x=\frac{20}{4} \\ x=5 \end{gathered}

Therefore, the solution is x=5

8 0
1 year ago
Describe the solutions in words to the inequality 4 < c + 2
MAVERICK [17]

Answer:

<em>All </em><em>real </em><em>numbers </em><em>are </em><em>greater </em><em>than </em><em>four</em>

Step-by-step explanation:

4+2=6

6 0
3 years ago
120 ≤ 12 k + 29 need help
Aleksandr [31]

The answer is k ≥ \frac{91}{12}

First, you must flip the equation

12k+29 ≥ 120

Then, you must subtract 29 on both sides

12k ≥ 91

Finally, divide both sides by 12

k ≥ \frac{91}{12}

8 0
4 years ago
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