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2 years ago

Rewrite the expression x -3/11 in radical form.

Mathematics

2 answers:

Veronika [31]2 years ago

8 0

Hey i put the answer in the picture

fenix001 [56]2 years ago

6 0

Answer:

11x-3

Step-by-step explanation:

and that's the answer

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The amount of bacteria in a petri dish increases at a rate proportional to the amount present. At time t=0, the amount of bacter

Lilit [14]

Answer:

Step-by-step explanation:

Formula to be used is N=N0e^(kt)

N0 - amount of bacteria at time 0, which is 10g

t=2, 30g

30 = 10*e^(k*2)

3 = e^(2k)

2k = ln3

k = 0.5ln3

At t=6:

N = 10*e^(0.5ln3*6)

N = 10e^(3ln3)

N = 10e^ln27

N = 10*27 =270

So the amount of bacteria at t=6 is 270

6 0

3 years ago

An equiangular triangle has one side of length six inches. What is the height of the triangle, drawn from that side, to the near

tino4ka555 [31]

Answer:

The height of the triangle is 5.2 inches

Step-by-step explanation:

we know that

An equiangular triangle is a triangle where all three interior angles are equal in measure

Remember that an equilateral triangle has three equal sides and three equal interior angles

An equiangular triangle Is the same that an equilateral triangle. The measure of its interior angles is equal to 60 degrees

Let

h ----> the height of triangle

b ---> the length side of the triangle

Applying Pythagoras Theorem

$h^2=b^2-(b/2)^2$

we have

$b=6\ in$

substitute

$h^2=6^2-(6/2)^2$

$h^2=36-9$

$h^2=27$

$h=\sqrt{27}\ in$

$h=5.2\ in$

see the attached figure to better understand the problem

5 0

3 years ago

What is the solution to the following system?

leva [86]

Answer:

(4,3,2)

Step-by-step explanation:

We can solve this via matrices, so the equations given can be written in matrix form as:

$\left[\begin{array}{cccc}3&2&1&20\\1&-4&-1&-10\\2&1&2&15\end{array}\right]$

Now I will shift rows to make my pivot point (top left) a 1 and so:

$\left[\begin{array}{cccc}1&-4&-1&-10\\2&1&2&15\\3&2&1&20\end{array}\right]$

Next I will come up with algorithms that can cancel out numbers where R1 means row 1, R2 means row 2 and R3 means row three therefore,

-2R1+R2=R2 , -3R1+R3=R3

$\left[\begin{array}{cccc}1&-4&-1&-10\\0&9&4&35\\0&14&4&50\end{array}\right]$

$\frac{R_2}{9}=R_2$

$\left[\begin{array}{cccc}1&-4&-1&-10\\0&1&\frac{4}{9}&\frac{35}{9}\\0&14&4&50\end{array}\right]$

4R2+R1=R1 , -14R2+R3=R3

$\left[\begin{array}{cccc}1&0&\frac{7}{9}&\frac{50}{9}\\0&1&\frac{4}{9}&\frac{35}{9}\\0&0&-\frac{20}{9}&-\frac{40}{9}\end{array}\right]$

$-\frac{9}{20}R_3=R_3$

$\left[\begin{array}{cccc}1&0&\frac{7}{9}&\frac{50}{9}\\0&1&\frac{4}{9}&\frac{35}{9}\\0&0&1&2\end{array}\right]$

$-\frac{4}{9}R_3+R_2=R2$ , $-\frac{7}{9}R_3+R_1=R_1$

$\left[\begin{array}{cccc}1&0&0&4\\0&1&0&3\\0&0&1&2\end{array}\right]$

Therefore the solution to the system of equations are (x,y,z) = (4,3,2)

Note: If answer choices are given, plug them in and see if you get what is "equal to". Meaning plug in 4 for x, 3 for y and 2 for z in the first equation and you should get 20, second equation -10 and third 15.

7 0

3 years ago

3 cos A = 4 sin A find a) cos A b) 3-cot2 A+ cosec2A

Lady_Fox [76]

Answer:

a). cosA = 4/5

b).

$3 - cot {}^{2} a \: + cosec {}^{2} a \: = 0$

3 0

2 years ago

Read 2 more answers

Use the Change of Base Formula to evaluate log5 92. Then convert log5 92 to a logarithm in base 3. Round to the nearest thousand

ANTONII [103]

I was thinking that the answer could be

2.810; log3 21.903

OR

 2.810; log3 55.2 

So, log5 of 92 is between 2.5 and 3 Correct answer is A

6 0

3 years ago

Read 2 more answers