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Natalka [10]
3 years ago
7

Andy loves taking notes. He started the school year with 45 pages of notes from last year and he plans to take 2 pages of notes

during each class he attends this year. When Andy has 125 pages of notes how many classes will he have attended?
Mathematics
1 answer:
monitta3 years ago
7 0

125 - 45 = 80 \\ 80  \div 2 = 40
He would have attended 40 classes
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Two cats are mated. One of the parent cats is long haired(recessive allele). The litter which results contains two short haired
dexar [7]
Mm I don't know, why is that question? You must have an weird teacher
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3 years ago
Find two square roots of 9/49
Burka [1]

The answer is 0.12244898


4 0
4 years ago
Read 2 more answers
Solve 3x - 4 ≤ 2 or 2x + 11 ≥ -1
Rufina [12.5K]
1.) 3x -4 <_ 2
Add 4 to both sides.
-4 + 4 = 0
2 + 4 = 6
3x <_ 6
Divide both sides by 3.
3x / 3 = x
6 / 3 = 2
x <_ 2 is your answer for the first inequality.

2.) 2x + 11 _> -1
Subtract 11 from both sides.
11 - 11 = 0
-1 -1 = -2
2x _> -12
Divide both sides by 2.
2x / 2 = x
-12 / 2 = -6

x _> -6 is your answer for the second inequality.

I hope this helps!
5 0
3 years ago
At what point on the paraboloid y = x2 + z2 is the tangent plane parallel to the plane 3x + 2y + 7z = 2? (if an answer does not
Nikitich [7]
If f(x, y, z) = c represent a family of surfaces for different values of the constant c. The gradient of the function f defined as \nabla f is a vector normal to the surface f(x, y, z) = c.

Given <span>the paraboloid

y = x^2 + z^2.

We can rewrite it as a scalar value function f as follows:

f(x,y,z)=x^2-y+z^2=0

The normal to the </span><span>paraboloid at any point is given by:

\nabla f= i\frac{\partial}{\partial x}(x^2-y+z^2) - j\frac{\partial}{\partial y}(x^2-y+z^2) + k\frac{\partial}{\partial z}(x^2-y+z^2) \\  \\ =2xi-j+2zk

Also, the normal to the given plane 3x + 2y + 7z = 2 is given by:

3i+2j+7k

Equating the two normal vectors, we have:
</span>
2x=3\Rightarrow x= \frac{3}{2}  \\  \\ -1=2 \\ \\ 2z=7\Rightarrow z= \frac{7}{2}

Since, -1 = 2 is not possible, therefore there exist no such point <span>on the paraboloid y = x^2 + z^2 such that the tangent plane is parallel to the plane 3x + 2y + 7z = 2</span>.
4 0
4 years ago
Question 6 of 40
chubhunter [2.5K]

Step-by-step explanation:

I cannot really identify and read the provided answer options.

the solution to the sequence 2, 6, 10, 14, 18, ... is

an = 4×(n-1) + 2

recursive that is

a1 = 2

an = an-1 + 4

please pick the right option in your original problem definition that fits to this solution.

5 0
3 years ago
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