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3 years ago

Can someone please help me with these two

Mathematics

1 answer:

zlopas [31]3 years ago

7 0

Answer:

1a. {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}

1b. {5}

Step-by-step explanation:

For part 1:

A U B is the union of all values, so {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}

Remember that union means to include all values.

A n B is the intersection of all values, so {5}

Remember that the intersection means "what do they have in common".

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Find the equivalent equation that does not contain fractions 2/3 x 7=1/2

mariarad [96]

Answer:

$4x + 42 = 3$

Step-by-step explanation:

Given:

$\frac{2}{3}x + 7 = \frac{1}{2}$

Required

Equivalent expression without fraction

To do this, we simply multiply through by a common multiple of the denominators in the expression.

The denominators are 2 and 3

$2 = 2,4,6,8,10,..$

$3 = 3,6,9,12..$

So, 6 is the least common multiple.

Multiply both sides by 6

$6 * (\frac{2}{3}x + 7) = \frac{1}{2} * 6$

$6 *\frac{2}{3}x + 6*7 = \frac{1}{2} * 6$

$\frac{12}{3}x + 42 = \frac{6}{2}$

$4x + 42 = 3$

<em>Hence, an equivalent expression.</em>

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2 years ago

Find the length of BC. Round your answer to the nearest tenth.

Lyrx [107]

Answer:

6.8cm

Step-by-step explanation:

I dont have an explanation

6 0

2 years ago

What’s is the constant of proportionality in the equation y=5/4x

marshall27 [118]

5/4 is the constant of proportionality

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3 years ago

Please help: A box contains 5 yellow balls, 3 blue, and 1 red ball. Two balls are drawn at random. Find the probability that:

Y_Kistochka [10]

Answer:

a) 0.2778

b) 0.3611

c) 0.1389

d) 0.0833

Step-by-step explanation:

We have a total of 5 + 3 + 1 = 9 balls

a) First ball being yellow: we have 5 yellow balls, so P1 = 5/9

Second ball being yellow after one yellow was drawn: we have 4 yellows and 8 balls, so P2 = 4/8 = 1/2

Both yellows: P = P1 * P2 = 5/18 = 0.2778

b) Both blues:

P1 = 3/9 = 1/3

P2 = 2/8 = 1/4

P = P1 * P2 = 1/12 = 0.0833

Both yellows or both blues: 5/18 + 1/12 = 0.2778 + 0.0833 = 0.3611

c) First yellow: P1 = 5/9

Second red: P2 = 1/8

Pa = P1 * P2 = 5/72

First red: P3 = 1/9

Second yellow: P4 = 5/8

Pb = P3 * P4 = 5/72

P = Pa + Pb = 10/72 = 5/36 = 0.1389

d) First blue: P1 = 3/9 = 1/3

Second red: P2 = 1/8

Pa = P1 * P2 = 1/24

First red: P3 = 1/9

Second blue: P4 = 3/8

Pb = P3 * P4 = 1/24

P = Pa + Pb = 2/24 = 1/12 = 0.0833

8 0

3 years ago

To the nearest whole number, what is the surface area of a sphere with a volume of 140 cm³?

rjkz [21]

The answer to this question is B. 130cm^2.

Using the volume formula for a sphere (V = (4/3)πr^3) you can plug in the values that we know to find the radius to be around 3.22117 cm. You can then use the area of a sphere formula (A = 4πr^2) to find the area. Hope this helps :)

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3 years ago