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3 years ago

If an original conditional statement is represented by p → q, which represents the contrapositive?

Mathematics

2 answers:

nadya68 [22]3 years ago

7 0

Answer:

(B) ~q → ~p

Step-by-step explanation:

Maksim231197 [3]3 years ago

5 0

<span>A conditional statement has two parts, the hypothesis and the conclusion. In p and q notation, the hypothesis is always the p and the q is the conclusion. In a contrapositive statement, the statement would go, “if not q, then not p”. Therefore, the answer to this item is the second choice. </span>

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a) find center of mass of a solid of constant density bounded below by the paraboloid z=x^2+y^2 and above by the plane z=4.(b) F

slava [35]

Answer: x-bar = y-bar = 0 whereas z-bar = 8/3

M= (c^2)/8 which is intern equal to 2 $\sqrt{2}$

Step-by-step explanation:

Find the area, by setting the limits as

= $4\cdot \int _0^{\frac{\pi }{2}}\int _0^2\int _{r^2}^4\:rdzdrd\theta$

$=4\cdot \int _0^{\frac{\pi }{2}}\int _0^2r\cdot \:4-r^3drd\theta$

$=4\cdot \int _0^{\frac{\pi }{2}}4d\theta$

$=8\pi$

Therefore;

Mxy= $\int _0^{2\pi }\int _0^2\int _{r^2}^4\:zrdzdrd\theta$

z-bar = 8/3

M= 8 $\pi$ dividing it into two volume gives us = 4 $\pi$

means $4\pi =\int _0^{2\pi }\int _0^{\sqrt{c}}\int _r^c\:rdzdrd\theta$

$4\pi =\left(\pi c^2-2\pi \frac{c^{\frac{3}{2}}}{3}\right)$

c=2 $\sqrt{2}$

5 0

3 years ago

HELP WILL GIVE 15 POINTS <br>what is the range of this function and pls explain

Nataly [62]

Answer:

$f(x)\geq -2$

Step-by-step explanation:

Range corresponds to the values of y on the y-axis. If we see the graph the minimum value of the y-coordinate is -2 and then it tends to increase from it. We do not know till where the y values will increase in the figure it shows 6 but it's still actually increasing we keep on tracing the graph but the minimum value will always remain the same which is -2 . So we can say that the range of the function is

$f(x)\geq -2\\$

Where f(x) is the function and since the values of y on the y-axis increase from -2 we can say that the function has the range of values greater than or equal to -2

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3 years ago

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Nuetrik [128]

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Please give brainliest!

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3 years ago

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Step2247 [10]

Answer:$885 I think

Step-by-step explanation:

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A rectangular prism has a base with side lengths x and x+3, and a height 2x. What is the surface area & volume of the prism?

photoshop1234 [79]

The surface area of the prism is given by:
Area=2(x*2x)+2(x(x+3))+2(2x(x+3))
=4x^2+2x^2+6x+4x^2+12x
=10x^2+18x sq. units

The volume will be given by:
V=length*width*height
=2x*x*(x+3)
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3 years ago