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3 years ago

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(10) Sets P,Q,R and S are given by P-{a,b}, Q-{a,0}, R={0} and S={p,0} Complete the following: PU Q QnR Pn S P Q Power set of Q

P(Q) P(R) Power set of R P x S Px R

1 answer:

wlad13 [49]3 years ago

4 0

Answer:

PUQ= {a, b,0}

QnR={0}

PnS={}

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Can anyone help me please? thanks ^^

Mazyrski [523]

Answer:

Yes; they are congruent

SSS

Step-by-step explanation:

Here, we want to check if the given triangles are congruent

From what we have, we can see that all three sides are marked for both triangles

So the sides of the triangles are income

So therefore, the triangles are congruent by SSS

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2 years ago

Write an exponential function y = ab" whose graph passes through (2,12) and (5,96).

motikmotik

Answer:

y = 3 $(2)^{x}$

Step-by-step explanation:

Substitute the given points into the function and solve for a and b

Using (2, 12)

12 = ab² → (1)

Using (5, 96)

96 = a $b^{5}$ → (2)

Divide (2) by (1)

$\frac{ab^5}{ab^2}$ = $\frac{96}{12}$ , that is

b³ = 8 ( take the cube root of both sides )

b = $\sqrt[3]{8}$ = 2

Substitute b = 2 into (1) and solve for a

12 = a2² = 4a ( divide both sides by 4 )

3 = a

Thus

y = 3 $(2)^{x}$ ← is the exponential function

3 0

3 years ago

A group of family went to the store and bought burgers. The first family bought 4 hamburger and 3 cheeseburger for $31. The seco

olganol [36]

I belive the price is 4.4 or $4.40c

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2 years ago

The ages of three friends are represented by three consecutive odd numbers. The sum of their ages is 63. If the youngest is repr

son4ous [18]

Answer:

x+(x+2)+(x+4)=63

Step-by-step explanation:

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2 years ago

Speeding: On a stretch of Interstate-89, car speed is a normally distributed variable with a mean of 69.1 mph and a standard dev

Alborosie

Answer: 11.9%

Step-by-step explanation:

Given : On a stretch of Interstate-89, car speed is a normally distributed variable with $\mu=69.1$ mph and $\sigma=3.3$ mph.

Let x be a random variable that represents the car speed.

Since , $z=\dfrac{x-\mu}{\sigma}$

z-score corresponds x = 73 , $z=\dfrac{73-69.1}{3.3}\approx1.18$

Required probability :

$\text{P-value }: P(x>73)=P(z>1.18)\\\\=1-P(z$

[using z-value table.]

Hence, the approximate percentage of cars are traveling faster than you = 11.9%

8 0

3 years ago