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2 years ago

How many subsets does the set A have? A={-3,-2,-1,0,1,2,3}

Mathematics

1 answer:

lions [1.4K]2 years ago

6 0

Answer:

128

Step-by-step explanation:

You find the number of subsets of a set by using the formula $2^{\text{ number of elements}$ .

We have 7 elements so that means we have $2^{7}=128$ subsets.

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2 years ago

I’ve never been so confused, this is due in a few minutes, pls help if you can!

algol13

Given:

m(ar QT) = 220

m∠P = 54

To find:

The measure of arc RS.

Solution:

PQ and PT are secants intersect outside a circle.

<em>If two secants intersects outside a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.</em>

$$\Rightarrow \angle P = \frac{1}{2} (m \ ar (QT) - m \ ar (RS ))$

$$\Rightarrow 54 = \frac{1}{2} (220- m \ ar (RS ))$

Multiply by 2 on both sides.

$$\Rightarrow 2 \times 54 = 2 \times \frac{1}{2} (220- m \ ar (RS ))$

$$\Rightarrow 108= 220- m \ ar (RS )$

Subtract 220 from both sides.

$$\Rightarrow 108-220= 220- m \ ar (RS )-220$

$$\Rightarrow -112= -m \ ar (RS )$

Multiply by (-1) on both sides.

$$\Rightarrow (-112)\times(-1)= -m \ ar (RS )\times(-1)$

$$\Rightarrow 112= m \ ar (RS )$

The measure of arc RS is 112.

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2 years ago

Which points on this vertical number line best represent the locations of 2.5 and -3/2. A (G and J) B (G and K). C(H and I) D (H

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The answers is (G and K) (B)

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2 years ago

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Step-by-step explanation:

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2 years ago

Jacob used 1/7 of a liter of water to fill 1/9 of the fish aquarium. How many liters of water are needed to fill the aquarium?

laila [671]

Jacob used 1/7 of a liter of water.
He needs to fill 1/9 of the fish aquarium.
Find how many liters would Jacob need to fill the aquarium
=> Let x = liters of water need to fill the aquarium
=> x/1 = 1/7 divided by 1/9
=> x = 1/7 x 9/1
=> x = 9/7, since this is an improper fraction, let’s convert it to mixed fraction
=> x = 1 and 2/7
So, Jacob need 1 and 2/7 liter of water to fill the whole aquarium.

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2 years ago