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zaharov [31]
3 years ago
13

I need help with both questions, you can answer either exercise #2 or #4 or both if you want to.

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
7 0
For 2a, we plug 3 in to get (4*3+3)/(3^2-7)=15/2. Since 2 is a prime number and 15 is not divisible by 2, this is simplest form. For b, using PEMDAS, division goes before addition or subtraction and 3/3^3 would therefore be done and you could not add 4*3 beforehand (or subtract 7).

For 4a, we plug it in to get sqrt(25-(-3)^2)=sqrt(25-9)=sqrt(16)=4

For b, since 13^2=169 and 25-169 is negative, we cannot find the square root due to that nothing squared is negative.
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What is -4/8 reduced
kumpel [21]

If you mean simplifying -4/8 simplified is -2/4 or -1/2 which in decimal form is   -0.5 so it is technically a negative half.

6 0
3 years ago
Read 2 more answers
In △ABC, a=31, b=22, and c=18. Identify m∠A rounded to the nearest degree. HELP ME PLEASE!!
4vir4ik [10]

Answer:

The measure of angle A is 101\°

Step-by-step explanation:

we know that

Applying the law of cosines

a^{2} =b^{2}+c^{2}-2(b)(c)cos(A)

substitute the values and solve for cos(A)

31^{2} =22^{2}+18^{2}-2(22)(18)cos(A)

cos(A)=[22^{2}+18^{2}-31^{2}]/(2(22)(18))\\ \\cos(A)=-0.193182\\ \\A=arccos(-0.193182)=101\°

3 0
4 years ago
Q-35<br><br> Convert this equation to slope-intercept form: y+2= -4/17x + 12/7
Andru [333]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept)

given y + 2 = - \frac{4}{17} x + \frac{12}{7}

Subtract 2 from both sides

y = - \frac{4}{17} x + \frac{12}{7} - \frac{14}{7}

y = - \frac{4}{17} x - \frac{2}{7} ← in slope- intercept form


6 0
3 years ago
a car starts from rest and travels for 5.0s with a uniform acceleration of 1.5 m/s^2. what is the final velocity of the car? how
AfilCa [17]
V = u + at
u = 0 
v = 0 + 1.5*5
v = 7.5 m/s
final velocity is 7.5 m/s

s = ut + 0.5at^2
s = 0 + (0.5*1.5*5^2)
s = (0.5*1.5*25)
s = 18.75 m
total travel distance is 18.75 m.
5 0
3 years ago
work for a publishing company. The company wants to send two employees to a statistics conference. To be​ fair, the company deci
NISA [10]

Answer:

Step-by-step explanation:

Here is the complete question.

Dominique, Marco, Roberto , and John work for a publishing company. The company wants to send two employees to a statistics conference. To be fair, the company decides that the two individuals who get to attend will have their names drawn from a hat. This is like obtaining a simple random sample of size 2. (a) Determine the sample space of the experiment. That is, list all possible simple random samples of size n = 2. (b) What is the probability that Dominique and Marco attend the conference? (c) What is the probability that John attends the conference?  ​(d) What is the probability that John stays​ home?

Since there are four employees to select the two to send from. then for us to get the sample space for the experiment we need to merge all possible two employees and represent them as set.

Let D = Dominique, M = Marco, R = Roberto and J = John

a) The sample space for the experiment is the total number of possible outcomes that we can have. It is as given below

S = 4C2 = 4!/(4-2)!2! (Selecting 2 out of 4 employees)

Total sample space = 4!/2!2!

Total sample space = 4*3*2!/2!2

Total sample space = 12/2 = 6

The sample space are S = {DM, DR, DJ, MR, MJ, RJ}

b) Probability is the ratio of number of event to the sample space.

P = n(E)/n(S)

Given n(S) = 6

n(E) is the event of Dominique and Marco attending the conference.

E = {DM}

n(E) = 1

P(D and M) = 1/6

Hence  the probability that Dominique and Marco attend the conference is 1/6

c) For John to attend the conference, the event outcome will be given as;

E = {DJ, MJ, RJ}

n(E) = 3

n(S) = 6

Probability for John to attend the conference is 3/6 = 1/2

d) Probability that John stays at home = 1 - Prob (John attends the conference)

Probability that John stays at home = 1 - 1/2

Probability that John stays at home = 1/2

7 0
3 years ago
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