All categories

3 years ago

Check all true statements.

Mathematics

1 answer:

Igoryamba3 years ago

8 0

Step-by-step explanation:

the true statemnts underneath and are in bold letters

-.For all nonempty sets A, B, C, D, if A x B = C x D, then A = C and B = D.

This property is true

-The cartesian product has a cancellation property, i.e. if A x B = A x C for some sets A, B, C and A nonempty, then B = C.

This property is true

- If A={1,2} and B={3} then A x B ={ (1,3), (2,3) }.

if we have 2 non empty sets a and b if we want to get their cartesian product, it is defined as the set of all ordered pairs from a and b

we have A x B to be{(1,3)(2,3)}

therefore this is also true

You might be interested in

If f(x)= 3x^2+1 and g(x)= 1-x, what is the value of (f-g)(2)?

enyata [817]

Answer:

Step-by-step explanation:

note that (f - g) = f(x) - g(x)

f(x) - g(x) = 3x² + 1 - (1 - x) = 3x² + 1 - 1 + x = 3x² + x

To evaluate (f - g)(2) substitute x = 2 into f(x) - g(x)

(f - g)(2) = 3(2)² + 2 = (3 × 4) + 2 = 12 + 2 = 14

3 0

3 years ago

20,484,163 in expanded form

Charra [1.4K]

20,000,000 + 400,000 + 80,000 + 4,000 + 100 + 60 + 3

5 0

3 years ago

Read 2 more answers

John goes to a restaurant and has a bill of $32.57. He uses a 10% off coupon on

otez555 [7]

Answer:

<u>John spends $ 37.98</u>

Step-by-step explanation:

1. John has a bill of $ 32.57

2. He leaves a tip of 18% on the amount before the coupon or tax is applied, in consequence: 32.57 + 18% (32.57) = 32.57 + 5.86 = 38.43

3. He uses a 10% off coupon on the cost of the meal, therefore:

38.43 - 10% (32.57) = 38.43 - 3.26 = 35.17

4. The tax is 8%, then:

35.17 + 8% (35.17) = 35.17 + 2.81 = 37.98

<u>John spends $ 37.98</u>

5 0

3 years ago

How much pure water must be mixed with 10 liters of a 25% acid solution to reduce it to a 10% acid solution?

elena-s [515]

Suppose you add x liters of pure water to the 10 L of 25% acid solution. The new solution's volume is x + 10 L. Each L of pure water contributes no acid, while the starting solution contains 2.5 L of acid. So in the new solution, you end up with a concentration of (2.5 L)/(x + 10 L), and you want this concentration to be 10%. So we have

$\dfrac{2.5}{x+10}=0.1\implies25=x+10\implies x=15$

and so you would need to add 15 L of pure water to get the desired concentration of acid.

8 0

3 years ago

In angle abc ,m angle A = 17 and m angle B = 100 what is the measure of angle C

Alchen [17]

Angle C equals 63
Add angle 17 plus 100 and the subtract the answer from 180. Because a triangles are always 180 degrees

8 0

3 years ago