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2 years ago

Find the cardinal number of the set:

Mathematics

1 answer:

yarga [219]2 years ago

8 0

Answer: 6

Step-by-step explanation:

Ok lemme actually format this set

$C = \left\{\frac 1x : x \in \mathbb{Z}\ \text{and}\ 4 \leq x \leq 9\right\}$

Well the only integers from 4 to 9 are 4, 5, 6, 7, 8, 9. So this set is just

$C = \left\{\frac 14, \frac 15, \frac 16, \frac 17, \frac 18, \frac 19\right\}$

which has cardinality $\boxed{6}$ .

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Step-by-step explanation:

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3 years ago

Last week, Riley worked 7.5 hours per day for 3 days and earned a total of $306.45.

maria [59]

Answer:

13,62$

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2 years ago

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A cylinder has a height of 18 millimeters and a radius of 18 millimeters. What is its volume? Use ≈ 3.14 and round your answer

solong [7]

Answer:

$Volume = 18312.48$

Step-by-step explanation:

Given

$Height (h) = 18mm$

$Radius (r) = 18mm$

Required

Determine the volume

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$Volume = \pi r^2h$

Substitute values for r and h

$Volume = 3.14 * 18^2 * 18$

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3 years ago

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Fittoniya [83]

<h3>Answer:</h3>

$\boxed{\pink{\sf \leadsto Yes \ there \ is \ a \ solution \ of \ the \ given \ inequality .}}$

<h3>Step-by-step explanation:</h3>

A inequality is given to us and we need to convert it into standard form and see whether if it has a solution . So let's solve the inequality.

The inequality given to us is :-

$\bf\implies |2y + 3 | - 1 \leq 0 \\\\\bf\implies |2y+3|\leq 1 \\\\\bf\implies (|2y+3|)^2 \leq 1^2 \\\\\bf\implies (2y+3)^2 \leq 1 \\\\\bf\implies (2y)^2+3^2+2(2y)(3) \leq 1 \\\\\bf\implies 4y^2+9+12y - 1 \leq 0 \\\\\bf\implies 4y^2+12y+8 \leq 0 \\\\\bf\implies 4( y^2 + 3y + 2 ) \leq 0 \\\\\bf\implies y^2+3y +2 \leq 0 \:\:\bigg\lgroup \purple{\bf Standard \ form \ of \ inequality }\bigg\rgroup \\\\\bf\implies y^2y+2y+y+2 \leq 0 \\\\\bf\implies y(y+2)+1(y+2)\leq 0 \\\\\bf\implies ( y+2)(y+1)\leq 0 \\\\\bf\implies \boxed{\red{\bf y \leq (-2) , (-1) }}$

Let's plot a graph to see its interval . Graph attached in attachment .

Now we can see that the Interval notation of would be ,

$\boxed{\boxed{\orange \tt \purple{\leadsto}y \in [-2,-1] }}$

<h3>Hence the standard form of inequality is y²+3y +2 ≤ 0 and the Solution set of the inequality is [ -2 , -1 ] .</h3>

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2 years ago

- m + 62m2 + 1200 simplified

Gekata [30.6K]

3(41x+400) simplified = 123x+1200

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3 years ago

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