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3 years ago

What is the solution set of {x | x < -3} ∩ {x | x > 5}?

Mathematics

2 answers:

drek231 [11]3 years ago

7 0

The answer will be empty set

kvv77 [185]3 years ago

7 0

<h2>Answer:</h2>

The solution set of {x | x < -3} ∩ {x | x > 5} is:

The empty set

<h2>Step-by-step explanation:</h2>

The first set is:

{x | x < -3}

This means that the solution of this set is: (-∞,-3)

and the second set is:

{x | x > 5}

This means that the solution set is: (5,∞)

Now, we know that intersection set contains the element that are common to both the set, i.e. it is a solution of first as well as second place.

Since, (-∞,-3)∩(5,∞)=∅

There no element which is common to both the set.

Hence, the answer is:

The empty set

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A grapefruit is 8% heavier than an orange, and an apple is 10% lighter than the

patriot [66]

Grapefruit=108

Orange=100

Apple=90

a) (108-90)/90*100 = 18/90*100=20%

b) (108-90)/108= 18/108*100=16 2/3%

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3 years ago

Read 2 more answers

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kherson [118]

The answers are as follows.

a. 9x

In order to get this, you need to reevaluate 64 as a base of 4. Since 64 is equal to 4^3, we can rewrite the right side as

64^3x = (4^3)^3x = 4^9x

Which gives you the first answer.

b. 10

Similar to the first problem, we need to express 16 as a base of 2. 2^4 is equal to 16, so we use that in it's place and simplify.

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c. Sqrt(7.31)

This one is more simple. Raising something to a 1/2 power (.5) is the same as taking the square root.

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3 years ago

ASAP!<br> find the slope of a line that is perpendicular to y=-1/2x+4

aliya0001 [1]

We know that :

Ф Product of the slopes of two lines perpendicular to each other should be equal to -1

Let the slope of the line perpendicular to given line be : M

Given equation of the line : y = -1/2x + 4

This line is in the form : y = mx + c, where m is the slope and c is the y intercept

Comparing with y = mx + c :

we can notice that slope of the given line is -1/2

⇒ M × -1/2 = -1

⇒ M × 1/2 = 1

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3 years ago

The circle below has center P, and its radius is 3 m. Given that m 2 QPR=170°, find the length of the minor arc OR.

QveST [7]

Any smooth curve connecting two points is called an arc. The length of the arc m∠QPR is 2.8334π m.

<h3>What is the Length of an Arc?</h3>

Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,

$\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360} = 2\pi r \times \dfrac{\theta}{2\pi}$

where

θ is the angle, that which arc creates at the centre of the circle in degree.

Given the radius of the circle is 3m, while the angle made by the arc at the centre of the circle is 170°. Therefore,

The length of an arc = 2πr×(θ/360°) = 2π × 3 ×(170/360°) = 2.8334π m

Hence, the length of the arc m∠QPR is 2.8334π m.

Learn more about Length of an Arc:

brainly.com/question/1577784

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2 years ago

Serenity has 2\frac{1}{2} 2 1 cups of dough to make dumplings. If she uses \frac{3}{4} 4 3 cup of dough for each dumpling, h

BARSIC [14]

3 dumplings can be made by Serenity

<em><u>Solution:</u></em>

Given that,

Serenity has $2\frac{1}{2}$ cups of dough to make dumplings

She uses $\frac{3}{4}$ cup of dough for each dumpling

To find: Number of whole dumplings made

From given information,

$\text{Total cups of dough } = 2\frac{1}{2} = \frac{2 \times 2+1}{2} =\frac{5}{2}$

$\text{Cups of dough for 1 dumpling } = \frac{3}{4}$

To find the number of whole dumplings made, we can divide the total cups of dough by cups of dough for 1 dumpling

$\text{Number of whole dumplings made } = \frac{\text{total cups of dough}}{\text{cups of dough for 1 dumpling}}\\\\\text{Number of whole dumplings made } = \frac{\frac{5}{2}}{\frac{3}{4}} = \frac{5}{2} \times \frac{4}{3}\\\\\text{Number of whole dumplings made } = \frac{10}{3} = 3.33 \approx 3$

Thus 3 dumplings can be made

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3 years ago