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Kisachek [45]
2 years ago
15

Let A = {1, 2, 3, 4, 5} and B = {2, 4}. What is A ∩ B?

Mathematics
1 answer:
tatyana61 [14]2 years ago
4 0

Answer:

A ∩ B = {2, 4}

Step-by-step explanation:

Definition: The intersection A ∩ B of two sets A and B is the set that contains all elements of A that also belong to B.

For example:

If x∈A and x∈B

then;

x∈ A ∩ B

Given the sets:

A = {1, 2, 3, 4, 5} and B = {2, 4}

We have to find  A ∩ B.

By definition we have;

A ∩ B = {2, 4}

Therefore, the value of  A ∩ B is, {2, 4}

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Using the solubility curve, choose all of the statements that are correct.
irinina [24]

Answer:

See explanation below

Step-by-step explanation:

According to the solubility curve attached, let's analyze each sentence to see which one is correct:

<u>"Solubility of NaCl is least affected by temperature"</u>

True. as you can see in the curve, solubility of NaCl remains almost constant at any value of temperature, so in this case, it does not matter the temperature, the NaCl solubility will be the same.

<u>"completely dissolve 60 g of KBr in 100 g of water at 20 °C"</u>

True. As you can see in the graph, solubility of KBr begins at 60 g, so in 20 °C we have something dissolved there. Actually you have like 70 g dissolved there, so, this is true.

<u>"The solubility of KNO3 is the least affected by changes in temperature"</u>

False. The curve for KNO3 is exponencial, so, changes in temperature do actually affect the solubility.

<u>"100 g of KBr will dissolve completely in 100 g of water at 75 °C"</u>

False. According to the curve, 100 g dissolve when we reach more than 100 °C. At 75 °C only about 85 g of KBr is dissolved.

<u>"if you mix 120 g of NaClO3 in 100 g of water at 10 °C, approximately 30 g will not dissolve"</u>

True. In the graph we can clearly see that at 10 °C only about 90 g is being dissolved so, the rest of the mass is still there as mass.

6 0
2 years ago
Can you always use grouping to factor
Softa [21]

Answer:

No

Step-by-step explanation:

it's not always possible to factor a quadratic expression of this factoring by grouping. The method doesn't work when an expression cannot be factored as (Ax+B)(Cx+D) where A, B, C and D are integrers.

In that case, you should use other methods.

6 0
3 years ago
Read 2 more answers
I need help with this:What is the value of y? Enter your answer in the box. y =
lina2011 [118]

Answer:

y=5 degrees

Step-by-step explanation:

It is an isosceles triangle so that means that there are two angles that equal 75, so that means the third side with 4y + 10 is equal to 30 degrees.

4y+10=30

4y=20

y=5 degrees

3 0
3 years ago
I need these all written out on how they're done along with the answer please
taurus [48]
Well, these are quite simple really, especially 1,2,3 and 4. If you read the questions carefully, you can understand it well. You don’t need to know the answer, you just need to understand
8 0
3 years ago
Whst will be the multiplicative inverse of<br>3/5 - 4/27 + 5/18​
Yuliya22 [10]

Answer:





Find the multiplicative inverse of the following

(i) -13    (ii) -13/19    (iii) 1/5    (iv) -5/8 × -3/7    (v) -1 × -2/5

(vi) -1

Solution:

The reciprocal of a given rational number is known as its multiplicative inverse. The product of a rational number and its multiplicative inverse is 1.

(i) The Multiplicative inverse of -13 is -1/13

∵ -13 × (-1/13) = 1

(ii) The Multiplicative inverse of -13/19 is -19/13

∵ -13/19 × (-19/13) = 1

(iii) The Multiplicative inverse of 1/5 is 5

∵ 1/5 × 5 = 1

(iv) The Multiplicative inverse of -5/8 × -3/7 is 56/15

∵ -5/8 × (-3/7) = 15/56 and 15/56 × 56/15 = 1

(v) The Multiplicative inverse of -1 × -2/5 is 5/2

∵ -1 × (-2/5) = 2/5 and 2/5 × 5/2 = 1

(vi) The Multiplicative inverse of -1 is -1

∵ -1 × (-1) = 1

3 0
1 year ago
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