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rjkz [21]
3 years ago
15

Which table shows an independent quantity of 3 with a corresponding dependent quantity of 6

Mathematics
1 answer:
Ulleksa [173]3 years ago
8 0
The answer is b because it has the 3 with 6 corresponding.<span />
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What is two hundred ninety one divided by two?
Diano4ka-milaya [45]
<span>two hundred ninety one divided by two = 291/2 = 145.5

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4 0
3 years ago
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Determine each of the following.
castortr0y [4]

Answer:

(a) \{1,2,3,4,5,6,7,8,9,10\}

(b) 10

(c) \{\}

(d) 0

(e) 1024

Step-by-step explanation:

(a)

A = {x ∈ Z | 0 < x, x² ≤ 100}

We need to find all the elements of given set.

The given conditions are

0                ... (1)

x^2\leq 100

Taking square root on both sides.

-\sqrt{100}\leq x\leq \sqrt{100}

-10\leq x\leq 10             .... (2)

Using (1) and (2) we get

0

Since x ∈ Z,

A=\{1,2,3,4,5,6,7,8,9,10\}

(b)

We need to find the value of  | {x ∈ Z | 0 < x, x² ≤ 100}| or |A|. It means have to find the number of elements in set A.

|A|=10

| {x ∈ Z | 0 < x, x² ≤ 100}| = 10

(c)

B = {x ∈ Z | x > 10, x² ≤ 100}

We need to find all the elements of given set.

The given conditions are

x>10                ... (3)

x^2\leq 100

It means

-10\leq x\leq 10             .... (4)

Inequality (3) and (4) have no common solution, so B is null set or empty set.

B=\{\}

(d)

We need to find the value of |{x ∈ Z | x > 10, x² ≤ 100}| or |B|. It means have to find the number of elements in set B.

|B|=0

|{x ∈ Z | x > 10, x² ≤ 100}| = 0

(e)

We need to find the value of | P(A) |. P(A) is the power set of set A.

Number of elements of a power set is

N=2^n

where, n is the number of elements of set A.

We know that the number of elements of set is 10. So the value of |P(A)| is

|P(A)|=2^{10}

|P(A)|=1024

Therefore |P(A)|=1024.

7 0
3 years ago
Which of the following graphs shows the solution for the inequality<br> y-4&gt; 2(x+2)?
timofeeve [1]

Answer:

Answer:

Graph C shows the solution for the inequality

Step-by-step explanation:

y - 4 > 2(x + 2)

y > 2x + 4 + 4

y > 2x + 8

Let y = 2x + 8, Then

X-intercept (0, 8)

Y-intercept (-4, 0)

Since the inequality sign is > we use broken line.

Put,  (0, 0)

y > 2x + 8

0 > 0+ 8

0 > 8 Which is false

so, the answer will be above the broken line

Hence , Graph C shows inequality

#SPJ1

5 0
2 years ago
NEED HELP!!!
AnnyKZ [126]

Answer:

see explanation

Step-by-step explanation:

(1)

\frac{6}{2} = \frac{4}{p} ( cross- multiply )

6p = 8 ( divide both sides by 6 )

p = \frac{8}{6} = \frac{4}{3}

(2)

\frac{n}{4} = \frac{8}{7} ( cross- multiply )

7n = 32 ( divide both sides by 7 )

n = \frac{32}{7}

(3)

\frac{5}{3} = \frac{x}{4} ( cross- multiply )

3x = 20 ( divide both sides by 3 )

x = \frac{20}{3}

6 0
3 years ago
WHOEVER ANSWERS FIRST GETS BRAINLIEST AND I NEED AN EXPLANATION PLZ
Kruka [31]

Answer:

1.25b

Step by step explanation:

6 0
3 years ago
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