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11 months ago

13

A camp counselor and four campers are to be seated along a picnic bench. In how many ways can this be done if the counselor must

be seated in the fourth and a camper who has a tendency to engage in food fights must sit to the counselor's immediate ?

1 answer:

Lady_Fox [76]11 months ago

4 0

Answer: 6 ways

Step-by-step explanation:

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20 POINTS AND BRAINLIEST!! Write an exponential function in the form y=ab^x

Rudik [331]

Answer:

$y=13(4)^x$

Step-by-step explanation:

We have the exponential function of the form:

$y=ab^x$

And it goes through the points (0, 13) and (3, 832).

Hence, when we substitute in 0 for x, we should get 13 for y. Therefore:

$13=ab^0$

Since anything to the zeroth power is 1, this yields:

$a=13$

So, we determined that the value of a is 13.

So, our function is now:

$y=13b^x$

We will need to determine b. We know that y equals 832 when x is 3. Hence:

$832=13(b)^3$

Divide both sides by 13:

$b^3=64$

Take the cube root of both sides:

$b=4$

Hence, our b value is 4.

Therefore, our entire equation is:

$y=13(4)^x$

3 0

2 years ago

If f(x) = 5x, what is f–1(x)?

Verdich [7]

We are given f(x) = 5x
and we are to find inverse of f(x).

Step 1:
Replace f(x) by y.
So,

y = 5x

Step 2:
Isolate x
So,

x = y/5

Step 3:
Replace x by f'(y)
So,

f'(y) = y/5

Step 4:
Replace all occurrences of y by x.
So,

f'(x) = x/5

Therefore, the inverse of f(x) = 5x is f'(x) = x/5

7 0

3 years ago

(-4, -2); y = - 2x + 4

padilas [110]

Answer:

y = -2x - 10

Step-by-step explanation:

Slope intercept form of equation is of form

y = mx+c

where m is the slope of line and c is the y intercept of the line.

Y intercept is point on y axis where the line intersects the y axis.

_____________________________

Given equation

y = -2x +4

comparing it with y = mx+ c

m = -2 , c = 4

_____________________________

when two lines are parallel, their slopes are equal.

Let the equation of new line in slope intercept form be y = mx + c

Thus slope of of new required line is -2

Thus m for new line is -2.

now, equation of required line : y = -2x+c

Given that this line passes through (-4, -2). This point shall should satisfy equation y = -2x+c.

Substituting the value of (-4, -2) we have

-2 = -2(-4)+c

=> -2 = 8 +c

=> -2 -8 = c

=> c = -10.

Thus , equation of required line is y = -2x - 10.

8 0

3 years ago

What is the circumference of a circle whose radius is 13?

Inessa05 [86]

Answer:

Circumference, C = 81.68 units

Step-by-step explanation:

Given that,

The radius of the circle, r = 13 units

We need to find the circumference of the circle. The circumference of a circle is the sum of the outer boundary. For a circle, it is given by :

$C=2\ \pi r$

$C=2\ \pi \times 13$

C = 81.68 units

So, the circumference of the circle is 81.68 units. Hence, this is the required solution.

7 0

2 years ago

Read 2 more answers

What is equal to 19^-8?

Rudiy27

Answer:

5.888045975

Step-by-step explanation:

4 0

2 years ago