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2 years ago

11

If p is true and ~q is false then p -> ~q is ___ false.

1 answer:

skad [1K]2 years ago

7 0

The conditional of q by p is "If p then q" or "p implies q" and is denoted by p q. It is false when p is true and q is false; otherwise it is true.

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Which of the following statements is true?

mash [69]

Answer:

d

Step-by-step explanation:

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3 years ago

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Over which interval is the graph of f(x) = one-halfx2 + 5x + 6 increasing?

kaheart [24]

Answer:

$\large\boxed{x\in[-5,\ \infty)}$

Step-by-step explanation:

$f(x)=\dfrac{1}{2}x^2+5x+6\\\\\text{The coeficient of}\ x^2\ \text{is the positive number. Therefore the parabola is op}\text{en up}.\\\\\text{If a parabola op}\text{en up, then the graph increasing in interval}\ (h,\ \infty),\\\text{and decreasing in interval}\ (-\infty,\ h).\ \text{Where}\ h\ \text{is a first coordinate of a vertex.}\\\\\text{For}\ y=ax^2+bx+c,\ h=\dfrac{-b}{2a}.\\\\\text{We have}\ a=\dfrac{1}{2}\ \text{and}\ b=5.\ \text{Substitute:}\\\\h=\dfrac{-5}{2\left(\frac{1}{2}\right)}=-\cdot\dfrac{5}{1}=-5.$

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3 years ago

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The figure is made up of a cylinder and a sphere which has been cut in half. The radius of each half sphere is 5 mm. What is

alexgriva [62]

<h2>Answer:</h2>

<em>Rounded to the nearest hundredth the volume of the composite figure is:</em>

<em>1308 33 cubic millimeters</em>

<h2>Explanation:</h2>

Hello! I wrote the complete question in a comment above. The volume of a cylinder is defined as:

$V_{c}=\pi r^2 h \\ \\ r:radius \\ \\ h:height$

While the volume of half a sphere is:

$V_{hs}=\frac{2}{3}\pi r^3$

Since we have 2 half spheres, then the volume of these is the same as the volume of a sphere:

$V_{s}=\frac{4}{3}\pi r^3$

Then, the composite figure is:

$V=\pi r^2 h +\frac{4}{3}\pi r^3 \\ \\ V=\pi r^2(h+\frac{4}{3}r)$

The radius of the cylinder is the same of the radius of each half sphere. So:

$r=5mm \\ \\ h=10mm \\ \\ \\ V=(3.14) (5)^2((10)+\frac{4}{3}(5)) \\ \\ V=25(3.14)(10+\frac{20}{3}) \\ \\ \boxed{V\approx 1308.33mm^3}$

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2 years ago

2/5 times 17<br> WHOEVER ANSWERS FIRST I GIVE BRAINY!

ikadub [295]

Answer:

6.8

Step-by-step explanation:

(2/5)*17

=6.8

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3 years ago

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A graph of the whole numbers is drawn on the number line. Which of the following points is not included on the graph? A. -1) B.

Olenka [21]

The answer to the question is c

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2 years ago