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Alexandra [31]
3 years ago
10

What is the unit rate of 286 miles in 5 in a half hours?

Mathematics
2 answers:
Kipish [7]3 years ago
4 0
The answer is:  " 52 mi / h " ;  or, write as:  " 52 m.p.h. "  .
__________________________________________________
Explanation:  
__________________________________________________
Given:  
__________________________________________________
  "286 mi per 5.5 h " ;  or, "(286 mi / 5.5 h)" ;

  → Convert to "miles per (unit hour, or single hour)" .
___________________________________________________________
So;  286 mi / 5.5 h = (286/5.5) mi / h = "52 mi / h" ; or, write as: "52 m.p.h." .
___________________________________________________________
konstantin123 [22]3 years ago
3 0
286/5.5=52 miles per hour<span />
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A)$150 at 3 % interest for 2 years
tamaranim1 [39]

Answer:

A)  159.135 = X

B) 2,531.25 = X

C)  6,187.5 = X

D) 831,947.46 = X

Step-by-step explanation:

The following investments are required to be calculated:

A) $ 150 at 3% interest for 2 years

B) $ 750.00 at 1/2% interest for 3 years

C) $ 2,250.00 at 1 3/4% interest for 1 year

D) $ 2,550.00 at 3 1/4 interest for 4 years

Therefore, the following calculations must be performed:

A)

150 x (1 + 0.03) ^ 2 = X

150 x 1.03 ^ 2 = X

159.135 = X

B)

750 x (1 + 0.5) ^ 3 = X

750 x 1.5 ^ 3 = X

2,531.25 = X

C)

2,250 x (1 + 1.75) = X

2,250 x 2.75 = X

6,187.5 = X

D)

2,550 x (1 + 3.25) ^ 4 = X

2,550 x 4.25 ^ 4 = X

831,947.46 = X

4 0
3 years ago
A factory produces 200 articles a year. How many more articles will the factory produce in a year if labor productivity increase
Gnoma [55]

Answer:

Its 290 even though you got the answer im out here to help

5 0
3 years ago
Read 2 more answers
Help please ASAP. <br><br><br><br><br><br> ..................,,.,,..,,
fredd [130]

Answer:

2x(3+1)

Step-by-step explanation:

8 0
3 years ago
Out of 100 what numbers are prime and composite
dalvyx [7]

Prime numbers 2 through 100 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89 and 97. Even numbers greater than two are composite.

5 0
3 years ago
Factor f(x)=x4-x3-7x2+13x-6 completely. Then Sketch the graph
Dennis_Churaev [7]

ANSWER TO QUESTION 1


f(x)=(x-2)(x+3)(x-1)^2.



EXPLANATION


The function given to us is,


f(x)=x^4-x^3-7x^2+13x-6


According to rational roots theorem,


\pm1,\pm2,\pm3,\pm6 are possible rational zeros of  


f(x)=x^4-x^3-7x^2+13x-6.


We find out that,


f(-3)=(-3)^4-(-3)^3-7(-3)^2+13(-3)-6


f(-3)=81+27-63-39-6



f(-3)=6-6



f(-3)=0


Also




f(2)=(2)^4-(2)^3-7(2)^2+13(2)-6



f(2)=16-8-28+26-6



f(2)=6-6



f(2)=0


This implies that  


x-2 and x+3 are factors of



f(x)=x^4-x^3-7x^2+13x-6 and hence (x-2)(x+3)=x^2+x-6 is also a factor.



We perform the long division as shown in the diagram.



Hence,


f(x)=(x-2)(x+3)(x-1)^2.


ANSWER TO QUESTION 2

Sketching the graph

We can see from the factorization that the roots  

x=2 and x=-3 have a multiplicity of 1, which is odd. This means that the graph crosses the x-axis at this intercepts.


Also the root x=1 has a multiplicity of 2, which is even. This means the graph does not cross the x-axis at this intercept.



Now we determine the position of the graph on the following intervals,


x\le -3


f(-4)=(-4)^4-(-4)^3-7(-4)^2+13(-4)-6


f(-4)=150\:>0



-3\le x \le 1


f(0)=-6\:


1\le x\le 2


f(1.5)=-0.56\:



x \ge 2



f(3)=24\:>0



We can now use these information to sketch the function as shown in diagram



4 0
3 years ago
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