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My name is Ann [436]
3 years ago
9

alaska's glacier bay national had 431, 986 visitors in one year the next year the part had 22,351 more visitors than a year befo

re how many people visited during the two years
Mathematics
1 answer:
PIT_PIT [208]3 years ago
5 0
22,351 + 431,986 = <span>454,337

454,337 + 431,986 = </span><span>886,323

during the two years </span><span>886323 people visited </span>
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The graph of f "(x) is continuous and decreasing with an x-intercept at x = 0. Which of the following statements is true?
kari74 [83]

Answer:

The graph of f has an inflection point at x = 0.

Step-by-step explanation:

An inflection point occurs when the second derivative changes signs.  Since f"(x) is decreasing and has an x-intercept at 0, it changes signs from + to -, so there is an inflection point at x = 0.

7 0
3 years ago
Write the equation of a line perpendicular to 2x + 3y = 4 and passing through (-3,-5).
Tasya [4]

Answer:

Step-by-step explanation:

A line perpendicular to the given line has a slope that is the negative inverse of the reference line.  

Rewrite the given equation in the format of y=mx+b, where mi is the slope and b is the y-intercept (the value of y when x = 0.

2x + 3y = 4

3y=-2x+4

y = -(2/3)X + (4/3)

The reference slope is -(2/3).  The negative inverse is (3/2), which will be the slope of a perpendicular line.  We can write the new line as:

y = (3/2)x + b

Any value of b will still result in a line that is perpendicular.  But we want a value of b that will shift the line so that it intersects the point (-3,-5).  Simply enter this point in the above equation and solve for b.

y = (3/2)x + b

-5 = (3/2)(-3) + b

-5 = -(9/2) + b

-5 = -4.5 + b

b = - 0.5

The equation of the line that is perpendicular to 2x + 3y = 4 and includes point (-3,-5) is

y = (3/2)x - 0.5

6 0
1 year ago
If it is 2:20 what time would it be 1 hour and 30 minutes later
Otrada [13]

Answer:

I would say 3:30

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
If a coin is tossed and a number cube is rolled what is the probability of getting heads and the number cube shows 3?
Maurinko [17]

Answer:

1/12

Step-by-step explanation:

Since the probability of getting heads is 1/2 and the probability of the number cube getting three is 1/6, we multiply.

For every coin flip, there is a 1/6 chance of getting a three. But since there is another condition, we have to multiply. Multiplying both fractions make 1/12.

4 0
3 years ago
Find the global maximum and global minimum values (if they exist) of x 2 + y 2 in the region x + y = 1. If there is no global ma
Grace [21]

Given that x+y=1, we have y=1-x, so that

f(x,y)=x^2+y^2\iff g(x)=x^2+(1-x)^2

Take the derivative and find the critical points of g:

g'(x)=2x-2(1-x)=4x-2=0\implies x=\dfrac12

Take the second derivative and evaluate it at the critical point:

g''(x)=4>0

Since g'' is positive for all x, the critical point is a minimum.

At the critical point, we get the minimum value g\left(\frac12\right)=f\left(\frac12,\frac12\right)=\frac12.

5 0
3 years ago
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