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3 years ago

Which Venn diagram best represents the relationship among integers, natural numbers, rational numbers, and whole numbers?

Mathematics

2 answers:

shusha [124]3 years ago

5 0

I want to say D but i am not for sure look up examples and see which one comes to mind

ruslelena [56]3 years ago

3 0

Answer:

the answer is D

Step-by-step explanation:

all rational numbers are integers

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There are 7 purple marbles, 12 orange marbles, 3 pink marbles, and 6 gray pens in a bag. You randomly choose one. Find each prob

Genrish500 [490]

Purple- 4/7
Orange- 3/7
Pink- 3/28
Pens- 3/14

3 0

3 years ago

30 POINTS!! HELP ASAP ITS 11 PM AND I'M SO TIRED.

maxonik [38]

Hey there! I'm happy to help!

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15. Interpret

I'll try to explain this quick so you can sleep. Sleep is very important for brain activity and is very important to help us learn more efficiently and to help us feel more energized and healthy (and sleep is just amazing in general) :)

All of the numbers below 1000 are going to give us negative number answers. For all of them, we just subtract 1000 from it to see how much over or below we are.

February: 10

March: -5

April: 50

May: -25

June: -20

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16. Analyze

An <u>integer </u>is just a number with no fraction or semi-value that is part of it. So 7 and -10 are integers while -1.5 and 2/3 are not.

A negative integer is one below zero, and a positive is one above zero.

PART A: Letters a and c represent the negative integers because they are to the left of zero on the number line.

PART B: letters b and d represent the positive integers because they are above zero on the number line.

PART C: They can be described as additive inverses, which have a different sign but the same <u>absolute value</u> (distance from zero). They are called this because when you combine them you get zero.

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Enjoy your sleep and keep on learning! :D

3 0

3 years ago

Given s left parenthesis t right parenthesis equals 5 t squared plus 5 ts(t)=5t2+5t, find

finlep [7]

Answer:

The velocity function is $v(t)=10t+5$ .

The acceleration function is $a(t)=10$ .

When t = 44, the velocity is $v(44)=445 \:\frac{ft}{s}$ .

When t = 44, the acceleration is $a(44)=10\: \frac{ft}{s^2}$ .

Step-by-step explanation:

We know that the position function is given by

$s(t)=5t^2+5t$

Velocity is defined as the rate of change of position or the rate of displacement. If you take the derivative of the position function you get the instantaneous velocity function.

$v(t)=\frac{ds}{dt}$

Acceleration is defined as the rate of change of velocity. If you take the derivative of the instantaneous velocity function you get the instantaneous acceleration function.

$a(t)=\frac{dv}{dt}$

The instantaneous velocity function is given by

$v(t)=\frac{d}{dt} s(t)=\frac{d}{dt}(5t^2+5t)\\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\v(t)=\frac{d}{dt}\left(5t^2\right)+\frac{d}{dt}\left(5t\right)\\\\\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}\\\\v(t)=10t+\frac{d}{dt}\left(5t\right)\\\\\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dt}\left(t\right)=1\\\\v(t)=10t+5$

The instantaneous acceleration function is given by

$a(t)=\frac{dv}{dt} =\frac{d}{dt}(10t+5)\\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\a(t)=\frac{d}{dt}\left(10t\right)+\frac{d}{dt}\left(5\right)\\\\a(t)=10$