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3 years ago

Which are the subset of a real numbers to which the number zero belongs to

Mathematics

2 answers:

muminat3 years ago

4 0

Whole numbers 0,1,2,3,4,5,...

Zigmanuir [339]3 years ago

4 0

The subset of real numbers to which 0 belongs is whole number sets

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Please may someone help me with these two questions I'm struggling with above.

34kurt

Answer:

Perimeter = 21 units

Volume = 110 cubic units

Step-by-step explanation:

Let the center of circle be (x,y).

$(x+2)^{2} +(y-7)^{2} = (x)^{2}+(y+2)^{2}$

4x - 18y = - 45

$(x)^{2}+(y+2)^{2}=(x-2)^{2}+(y-2)^{2}$

4x + 8y = 4

x + 2y = 1

Solving these 2 equations,

4 - 26y = -45

y = $\frac{49}{26}$

x = $\frac{-36}{13}$

radius = 3.35

Perimeter = 2 $\pi r$ = 21 units

Volume of cylinder = $\pi r^{2} h$

We have to add the volumes of the cylinders.

Volume of smaller cylinder = $\pi \times 2^{2} \times 2$ = 8 $\pi$

Volume of larger cylinder = 27 $\pi$

Total volume = 35 $\pi$ = 110 cubic feet

5 0

3 years ago

Given f(x)=-2x^3 + 3x^2 , find the equation of that tangent line of f at the point where x=2.

trapecia [35]

Step 1: Find f'(x):

f'(x) = -6x^2 + 6x

Step 2: Evaluate f'(2) to find the slope of the tangent line at x=2:

f'(2) = -6(2)^2 + 6(2) = -24 + 12 = -12

Step 3: Find f(2), so you have a point on y=f(x):

f(2) = -2·(2)^3 + 3·(2)^2 = -16 + 12 = -4

So, you have the point (2,-4) and the slope of -12.

Step 4: Find the equation of your tangent line:

Using point-slope form you'd have: y + 4 = -12 (x - 2)

That is the equation of the tangent line.

If your teacher is picky and wants slope-intercept, solve that for y to get:

y = -12 x + 20

5 0

3 years ago

On a map, 1 inch equals 10 miles. If two cities are 5 inches apart on the map, how far are they actually apart?

rosijanka [135]

Answer:

50 miles apart

Step-by-step explanation:

8 0

4 years ago

Read 2 more answers

Find the equation of the line through point (5,1) and perpendicular to 5x−y=−3. Use a forward slash (i.e. "/") for fractions (e.

IRINA_888 [86]

Y = -1/5x + 2

A line perpendicular to another line has an opposite reciprocal slope. What opposite means is that you flip the sign (from - to + or from + to -) and reciprocal means that you flip the numerator and denominator (so if line A is perpendicular to line B and line As slope is -3, line Bs slope would be 1/3).

First find the slope of 5x - y = -3
Add y to both sides
5x = y - 3
Add 3 to both sides
y = 5x + 3

So the slope of the line is 5. That means the slope of of the perpendicular line is -1/5.

Plug the slope of the perpendicular line and the point (5, 1) into point slope form to solve the equation

y - y1 = m(x - x1)
y - 1 = -1/5(x - 5)
y - 1 = -1/5x + 1
y = -1/5x + 2

3 0

3 years ago

Find the constant of variation (k) where y varies directly with x. y = 2, when<br> X = 6.

ExtremeBDS [4]

Answer:

The graph below models the value of a $20,000 car t years after it was purchased.

Value of Car

A graph titled Value of Car has years on the x-axis and Dollars on the y-axis. A line curves down and goes through points (0, 20,000), (4, 10,000), and (14, 2,000).

Which statement best describes why the value of the car is a function of the number of years since it was purchased?

Each car value, y, is associated with exactly one time, t.

Each time, t, is associated with exactly one car value, y.

The rate at which the car decreases in value is not constant.

There is no time, t, at which the value of the car is 0.

Step-by-step explanation:

7 0

3 years ago