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3 years ago

PLEASE LIST EACH NUMBER AS RATIONAL OR IRRATIONAL

Mathematics

2 answers:

sashaice [31]3 years ago

6 0

Irrational, rational, rational, irrational, irrational

VMariaS [17]3 years ago

3 0

Answer:

1. irrational

2. irrational

3. rational

4. irrational

5. irrational

Step-by-step explanation:

1. It is irrational because 22 does not have 2 numbers that when multipled equal 22

2. It is irrational because it doesn’t transfer to a whole number

3. It is rational because you can do 9 times 9 to get 81 and a negative number is still a whole number

4. Is irrational because 80 keeps repeating

5. Pie keeps going and is therefore irrational

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For the data shown in the stem-and-leaf plot, what is the effect on the mean and median of adding the value 10 to the data set?

alekssr [168]

The correct answer for the question that is being presented above is this one: " C. The mean is decreased by about 1.2 and the median is decreased by 2." For the data shown in the stem-and-leaf plot, the effect on the mean and median of adding the value 10 to the data set is that the mean is decreased by about 1.2 and the median is decreased by 2.

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4 years ago

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Find equations of the tangent plane and the normal line to the given surface at the specified point. x + y + z = 8exyz, (0, 0, 8

Dima020 [189]

Let $f(x,y,z)=x+y+z-8e^{xyz}$ . The tangent plane to the surface at (0, 0, 8) is

$\nabla f(0,0,8)\cdot(x,y,z-8)=0$

The gradient is

$\nabla f(x,y,z)=\left(1-8yze^{xyz},1-8xze^{xyz},1-8xye^{xyz}\right)$

so the tangent plane's equation is

$(1,1,1)\cdot(x,y,z-8)=0\implies x+y+(z-8)=0\implies x+y+z=8$

The normal vector to the plane at (0, 0, 8) is the same as the gradient of the surface at this point, (1, 1, 1). We can get all points along the line containing this vector by scaling the vector by $t$ , then ensure it passes through (0, 0, 8) by translating the line so that it does. Then the line has parametric equation

$(1,1,1)t+(0,0,8)=(t,t,t+8)$

or $x(t)=t$ , $y(t)=t$ , and $z(t)=t+8$ .

(See the attached plot; the given surface is orange, (0, 0, 8) is the black point, the tangent plane is blue, and the red line is the normal at this point)

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3 years ago

The function f is defined by the following rule. f(x) = x - 4 Complete the function table.

Vanyuwa [196]

Answer:

-9

-6

-4

-3

Step-by-step explanation:

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2 years ago

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finlep [7]

Step-by-step explanation:

254.34
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3 years ago

Let f and g be differentiable functions such that f(1) = 2, f'(1) = 3, f'(2) = -4, g(1) = 2, g'(1) = -3, g'(2) = 5. If h(x) = f

crimeas [40]

Answer:

Step-by-step explanation:

h(x) = f(g(x))

Using chain rule:

h'(x) = f'(g(x)) g'(x)

h'(1) = f'(g(1)) g'(1)

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h'(1) = -4 × -3

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3 years ago