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Jobisdone [24]
3 years ago
9

1" title=" \sqrt{2 + \sqrt{2 + \sqrt{2} } } " alt=" \sqrt{2 + \sqrt{2 + \sqrt{2} } } " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
tatiyna3 years ago
6 0
The answer is 1.961571
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twice a number plus three times another number equals 4. three times the first number plus four times the other number is 7. wha
Drupady [299]

Answer:

x=5, y=-2. (5, -2).

Step-by-step explanation:

2x+3y=4

3x+4y=7

----------------

3(2x+3y)=3(4)

-2(3x+4y)=-2(7)

----------------------

6x+9y=12

-6x-8y=-14

-----------------

y=-2

2x+3(-2)=4

2x-6=4

2x=4+6

2x=10

x=10/2

x=5

5 0
2 years ago
A rock sample containing an isotope with a half-life of 28 million years has an initial mass of 184 grams. how much time has ela
damaskus [11]
<h2>Half Life</h2>

The half life period is the time in which only half of the given population remains. It can be represented through this equation:

f(t)=a\times(1/2)^{\frac{t}{h}}

  • <em>t</em> = time passed
  • <em>a</em> = y-intercept
  • <em>h</em> = half life

<h2>Solving the Question</h2>

We're given:

  • <em>h</em> = 28 million years
  • <em>a</em> = 184 grams (this is the initial mass, after 0 time has passed)

For most questions like this, we would have to plug these values into the equation mentioned above. However, this question asks for the time elapsed after 3 half-lives.

This can be calculated simply by multiplying the given half-life by 3:

28 million years x 3

= 84 million years

<h2>Answer</h2>

84 million years

3 0
1 year ago
Calculate the average rate of change of f(x) = x2 - 1 x - 4 for 2 ≤ x ≤ 6.
hoa [83]

Answer:

Hence, the average rate of change is:

\dfrac{97}{12}

Step-by-step explanation:

We are asked to calculate the average value of the function:

f(x)=x^2-\dfrac{1}{x}-4 in 2 ≤ x ≤ 6

The average rate of change of the function f(x) in the interval 2 ≤ x ≤ 6  is given as:

\dfrac{f(6)-f(2)}{6-2}\\\\=\dfrac{f(6)-f(2)}{4}

Now,

f(6)=36-\dfrac{1}{6}-4\\\\f(6)=32-\dfrac{1}{6}\\\\f(6)=\dfrac{191}{6}

f(2)=4-\dfrac{1}{2}-4\\\\\\f(2)=-\dfrac{1}{2}

Hence, the average rate of change is:

\dfrac{\dfrac{191}{6}-\dfrac{-1}{2}}{4}\\\\=\dfrac{194}{6\times 4}\\\\=\dfrac{97}{12}

Hence, the average rate of change is:

\dfrac{97}{12}

8 0
3 years ago
Read 2 more answers
Does anyone know how to do this?
aksik [14]

Answer:

So basically the answer is where the lines intersect if they do not intersect there is no solution if they are on top of one another it is infinite solutions

Step-by-step explanation:

3 0
2 years ago
Gabriel wants to paint the model. How
enyata [817]

Answer:

<h2>The area of the base is 144 square inches.</h2><h2>The area of each triangular face is 66 square inches.</h2><h2>Grabiel needs 408 square inches of paint.</h2>

Step-by-step explanation:

The complete problem is attached.

Notice that the figure is a square pyramid, where its base dimensions are 12 inches by 12 inches, which represents an area of

B=12 \times 12 = 144 \ in^{2}

The slant height of the pyramid is 11 inches, which allow us to find the area of each triangle face

A=\frac{1}{2}bh =\frac{1}{2}(12)(11)= 66 \ in^{2}

But there are four triangle faces, so A_{faces} =4(66)=264 \ in^{2}.

Therefore, the area of each triangular face is 66 square inches.

So, the total surface area would be the sum

S=144+264=408 \ in^{2}

Therefore, Gabriel needs 408 square inches to paint the whole model.

4 0
3 years ago
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