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Sever21 [200]
3 years ago
9

Find the derivative of x^2+6x+9 at the point (2,6).

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
4 0
The derivative of the function is 2x+6.
At the particular point (2,6), plug in the x coordinate for x.
2(2)+6 = 10

Hope this helps :)

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Nolynn mixes 4 3/4 cups of water with 2/3 cup of lemonade concentrate. How many cups of
vivado [14]

Answer:

7 1/8 cups of water

Step-by-step explanation:

You can multiply 2/3 by 3 to get 2 and do the same to 4 3/4 to get 14 1/4. You then divide 2 by 2 and 14 1/4 by 2 to get 7 1/8 per cup of lemonade concentrate.

3 0
3 years ago
To find 5, Beau found 22 = 4 and 32 = 9. He said that since 5 is between 4 and 9, 5 is between 2 and 3. Beau thinks a good estim
shusha [124]

Complete question

To find \sqrt{5} , Beau found 2^2 = 4 and 3^2 = 9 . He said that since 5 is between 4 and 9, \sqrt{5}, is between 2 and 3. Beau thinks a good estimate for \sqrt{5} , is \frac{2 + 3}{2} =  2.5 Is his estimate high or low? How do you know?

Answer:

The estimation is high because 5 is very close to 4 so \sqrt{5} will also be very close to \sqrt{4} which is lower than the estimate

In order to get a good estimate

The first step is to choose a number between 2 and 3 let say 2.8 , 2,85 , 2.9 and the square them

i.e

2.1^2 =  4.41

     2.2^2 =  4.84

      2.3^2 =  5.29

From here we can see that \sqrt{5}  lies between 2.2 and 2.3 but is closer to  2.2

So a good estimate for \sqrt{5} is 2.2

Step-by-step explanation:

8 0
3 years ago
Find the geometric mean of the pair of numbers
Svetach [21]

Answer: a. 55

Step-by-step explanation:

The formula to find the geometeric mean between two numbers a and b is given by :-

G.M. =\sqrt{ab}

The given numbers are : 275 and 11

The geometric mean of 275 and 11 is given by :-

G.M.=\sqrt{275\times11}\\\\\Rightarrow\ G.M. =\sqrt{3025}\\\\\Rightarrow\ G.M.=\sqrt{55\times55}\\\\\Rightarrow\ G.M.=\sqrt{55^2}\\\\\Rightarrow\ G.M.=55

Hence, the geometric mean of 275 and 11 is 55.

So , the correct option is a. 55 .

4 0
3 years ago
Einsteinium-
Natalija [7]

Answer:

                 S(t)=450(2/3)^t

Explanation:

The question is "Einstenium-253 is an element that loses about 2/3 of its mass every month. A sample of einstenium-253 has 450 grams. Write a function that gives the sample's mass in grams, S(t) from today".

Since <em>einstenium-253 loses about 2/3 of its mass every month</em>, you can model the amount of sample by an exponential decay function, which is a geometric progression with a growing factor less than 1.

The general form of an exponential decay function is:

y=A_0r^t

Where:

  • A₀ is the initial value
  • r is the growing or decaying factor
  • t is the time
  • y is the value of the function at time t.

In this case, you have:

  • A₀ = 450
  • r = 2/3
  • t = t
  • y = S(t)

Now you can replace the values in the model and will obtain:

                  S(t)=450(2/3)^t

4 0
3 years ago
The hypotenuse of a right triangle is 15 cm long. One of the triangles legs is two times the length of the other leg
jolli1 [7]

Answer:If a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, then the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse

8 0
3 years ago
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