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vesna_86 [32]
3 years ago
15

Find the cardinal number of the set:

Mathematics
1 answer:
yarga [219]3 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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The slope of the line that passes through the points (8, y) and (-4, 10) is 4.
mart [117]
Y = 4x + b
10 = -16 + b, b = 6
Y = 4x + 6
Y = 4(8) + 6, y = 38
The value of y is 38
3 0
2 years ago
There was a triangle that had sides that were 5. 6, 6. 5, and 8.7 inches in length If Rochelle wanted to create a larger triangl
r-ruslan [8.4K]

Answer:

The answer is: 11.2, 13 and 17.4

Step-by-step explanation:

The scale factor of 2 means that we will build a triangle with sides of double lenght than original one.

So sides will be

5.6\times 2=11.2

6.5\times 2=13

8.7\times 2=17.4

6 0
3 years ago
One ruler and 2 pencils cost £1. 40 and one ruler and 6 pencils cost £3. 20 what is the cost of the ruler and pencil?
Olegator [25]

Answer:

ruler: £0.50

pencil: £0.45

4 0
2 years ago
=
sergij07 [2.7K]

Answer:

I. L = 17 cm.

II. W = 11 cm.

Step-by-step explanation:

Let the length of the rectangle be L.

Let the width of the rectangle be W.

Given the following data;

Perimeter of rectangle = 56cm

Translating the word problem into an algebraic expression, we have;

L = W + 6 .....equation 1

The perimeter of a rectangle is given by the formula;

P = 2(L + W)

56 = 2(L + W) ......equation 2

Substituting eqn 1 into eqn 2, we have;

56 = 2(W + 6 + W)

56 = 2(6 + 2W)

Opening the bracket, we have;

56 = 12 + 4W

4W = 56 - 12

4W = 44

W = 44/4

W = 11 cm

Next, we would find the length of the rectangle;

From eqn 1;

L = W + 6

L = 11 + 6

L = 17 cm

7 0
3 years ago
Please help. urgent. calculate the value of: E= x^3+1/x^3 if 1/x+x=4<br>(picture below)
Lelu [443]

Answer:

52

Step-by-step explanation:

1. We see if we cube both sides of the second equation, then it looks more similar to the first equation (E = x^3 + 1/x^3)

(1/x + x)^3 = 4^3

1/x^3 + 3/x + 3x + x^3 = 64

2. Now we rearrange, because we see x^3 + 1/x^3 in the first equation in this equation

x^3 + 1/x^3 + 3x + 3/x = 64

3. We look at 3x + 3/x and see that it looks like the second equation, so we try factoring it

x^3 + 1/x^3 + 3(x + 1/x) = 64

we know x + 1/x = 4, so 3(x + 1/x) = 12

x^3 + 1/x^3 +12 = 64

4. Now we subtract and get our answer

x^3 + 1/x^3 = 52

4 0
3 years ago
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