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2 years ago

Which is the intersection of the sets {0, 1, 5, 7, 8} and {0,5,7,9}?

Mathematics

1 answer:

grigory [225]2 years ago

5 0

Answer:

Step-by-step explanation:

Intersection set will contain the data that are found in both the sets

A = { 0 , 1 ,5 ,7,8}

B= {0,5,7,9}

A ∩ B = {0,5,7}

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I’m confused on this one

GenaCL600 [577]

The slope of CD is

$m = \dfrac{6 - -4}{2 - 0} = 5$

The slope of the perpendicular bisector is the negative reciprocal,

$n = -1/m = - \dfrac 1 5$

The perpendicular bisector passes through M, the midpoint of CD

M =( (0+2)/2, (-4 + 6)/2) = (1, -1)

So point slope form for the perpendicular bisector is

$y - -1 = - \frac 1 5(x - 1)$

Solving for y gives slope intercept form.

$y = - \frac 1 5 x - \frac 4 5$

Not sure how to type that without spaces; we didn't have online homework back then.

Answer: y=(-1/5)x-4/5

3 0

3 years ago

A middle school held a Career Exploration Day where students could choose to hear an adult talk about his or her career. 15 stud

mash [69]

Answer:

5/12

Step-by-step explanation:

15 students went to hear the doctor speak and 21 students went to other sessions

How many students are there? 15 + 21 = 36 students

Therefore, the probability to randomly select a student that went to hear the doctor is $\frac{15}{36}$ , then simplifying it by 3 is $\frac{5}{12}$ .

If we want to express it in percentage it would be 41.6%

7 0

2 years ago

In a certain game, a player can solve easy or hard puzzles. A player earns 30 points for solving an easy puzzle and 60 points fo

Aleksandr-060686 [28]

Answer: Second option.

Step-by-step explanation:

Let be "e" the number of easy puzzles Tina solved and "h" the number of hard puzzles Tina solved.

Set up a system of equations:

$\left \{ {{e+h=50} \atop {30e+60h=1,950 }} \right.$

You can use the Eliminationn Method to solve this system of equations:

Multiply the first equation by -30.
Add the equations.
Solve for "h".

Therefore, through this proccedure, you get:

$\left \{ {-30e-30h=-1,500} \atop {30e+60h=1,950 }} \right.\\.........................\\30h=450\\\\h=\frac{450}{30} \\\\h=15$

6 0

3 years ago

The graph of an exponential function is given. Which of the following is the correct equation of the function?

Effectus [21]

The answer is choice D

-----------------------------------------

Explanation:

We can rule out choice B and choice C which are y = 2.4^x and y = 3.5^x respectively. Why can we eliminate these? Because they are growth functions (the bases are larger than 1). The graph shown is a decay function. It goes downhill as you read it from left to right.

The answer is either choice A or choice D

If we plug in x = -2 into the equations for A and D, we get
y = 0.65^x = 0.65^(-2) = 2.36686
y = 0.32^x = 0.32^(-2) = 9.765625

The result for choice D is much closer to what the graph is showing. The graph appears to have the point (-2,11) on the curve. So that's why choice D is the best answer.

Note: the graph is a bit small and its not entirely clear which points are on this graph other than (0,1). So this is a bit of educated guesswork.

7 0

3 years ago

A model airplane has a scale of 2 in: 9 yards. If the wing span of the model airplane is 18 inches, how many yards is the actual

mote1985 [20]

Answer:

81 yards

Step-by-step explanation:

8 0

3 years ago