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Stella [2.4K]
2 years ago
12

Answer the parts below.

Mathematics
1 answer:
dybincka [34]2 years ago
7 0

Answer:

Step-by-step explanation:

5x + 2: 2nd box

2 + 5x: 2nd box

Yes, 5x + 2 and 2 + 5x are equivalent.

Hope this helps!

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The graph below shows the solution set of which inequality ?
Anestetic [448]

Answer:

E. |x| < 100.

Step-by-step explanation:

The solution of an absolute value function of the form |x| < a represents the set of values of x so that -a < x < a. The solution must be at least |x| < 7. Hence, the right choice is |x| < 100.

5 0
3 years ago
A semicircle has a diameter of 17.6 cm.
Ray Of Light [21]

Answer:

B. 45.23 cm

Step-by-step explanation:

perimeter of the figure

=\frac{1}{2}\pi d+d

=\frac{1}{2}\times 3.14\times 17.6 +17.6

=\frac{1}{2}\times 55.264 +17.6

=27.632 +17.6

=45.232

=45.23\: cm

7 0
3 years ago
the population P (t) of a culture of bacteria is given by P (t) =-1710t +92,000t+10,000, where t is the time in hours since the
Akimi4 [234]

The question might have some mistake since there are 2 multiplier of t. I found a similar question as follows:

The population P(t) of a culture of bacteria is given by P(t) = –1710t^2+ 92,000t + 10,000, where t is the time in hours since the culture was started. Determine the time at which the population is at a maximum. Round to the nearest hour.

Answer:

27 hours

Step-by-step explanation:

Equation of population P(t) = –1710t^2+ 92,000t + 10,000

Find the derivative of the function to find the critical value

dP/dt = -2(1710)t + 92000

         = -3420t + 92000

Find the critical value by equating dP/dt = 0

-3420t + 92000 = 0

92000 = 3420t

t = 92000/3420 = 26.90

Check if it really have max value through 2nd derivative

d(dP)/dt^2 = -3420

2nd derivative is negative, hence it has maximum value

So, the time when it is maximum is 26.9 or 27 hours

5 0
2 years ago
How many odd numbers are in 10 to 50?
dlinn [17]

Answer:

20

Step-by-step explanation:

11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49

3 0
2 years ago
an instructor grades on a curve by assuming that grades on a test are normally distributed. If the average grade is 80 and the s
sweet [91]

Step-by-step explanation:

According to normal distribution curves following a bell curve formula, it is followed that

34% of people will lie between Mean point and one positive standard deviation

34% of people will lie between Mean point and one negative standard deviation

14% of people will lie between Mean point and two positive standard deviation

14% of people will lie between Mean point and two negative standard deviation

2% of people will lie between Mean point and three positive standard deviation

2% of people will lie between Mean point and three negative standard deviation

Now following this principle, we are given that mean score is 80 and standard deviation is 8, hence the interval for grades would be;

Grade A ; Score greater than 96

Grade B : Score greater than 88 and less than or equal to 96

Grade C : Score greater than 80 and less than or equal to 88

Grade D : Score greater than 72 and less than or equal to 80

Grade E : Score greater than 64 and less than or equal to 72

Grade F : Score less than 64

3 0
3 years ago
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