14,140,000 in scientific notation

Lena has been waiting all summer for her family's annual road trip. This year, they're headed to Yellowstone National Park. Lena

marissa [1.9K]

Answer:

it will take her family 12 minutes

Step-by-step explanation:

i hope this helps

4 0

3 years ago

One batch of walnut muffins uses

Sholpan [36]

Answer:

4 cups

Step-by-step explanation:

8 0

3 years ago

Anita says ray CD can also be called ray dc. do you agree?

Verdich [7]

No, Rays go one way only since a point block te other way. Otherwise it wont be a ray :)

3 0

3 years ago

I need help! 50 points!

o-na [289]

The equation of this sinusoidal function is either

f(x) = a sin(bx) + c

or

f(x) = a cos(bx) + c

Either way, the plot of f9x) has amplitude a, period 2π/b, and midline y = c.

If the period is π/2, then

2π/b = π/2 ⇒ b = 4

If the maximum value is 10 and the minimum value is -4, then

-4 ≤ a sin(4x) + c ≤ 10

-4 - c ≤ a sin(4x) ≤ 10 - c

-(4 + c)/a ≤ sin(4x) ≤ (10 - c)/a

Recall that sin(x) is bounded between -1 and 1. So we must have

-(4 + c)/a = -1 ⇒ a = c + 4

(10 - c)/a = 1 ⇒ a = -c + 10

Combining these equations and eliminating either variable gives

a + a = (c + 4) + (-c + 10) ⇒ 2a = 14 ⇒ a = 7

a - a = (c + 4) - (-c + 10) ⇒ 0 = 2c - 6 ⇒ c = 3

Finally, we have either

f(x) = a sin(bx) + c ⇒ f(0) = c = 3

or

f(x) = a cos(bx) + c ⇒ f(0) = a + c = 3

but the cosine case is impossible since a = 7.

So, the given function has equation

f(x) = 7 sin(4x) + 3

8 0

2 years ago

) For which values of x is f '(x) zero? (Enter your answers as a comma-separated list.) x = (No Response) For which values of x

grigory [225]

Answer:

Check below, please

Step-by-step explanation:

Step-by-step explanation:

1.For which values of x is f '(x) zero? (Enter your answers as a comma-separated list.)

When the derivative of a function is equal to zero, then it occurs when we have either a local minimum or a local maximum point. So for our x-coordinates we can say

$f'(x)=0\: at \:x=2, and\: x=-2$

2. For which values of x is f '(x) positive?

Whenever we have

$f'(x)>0$

then function is increasing. Since if we could start tracing tangent lines over that graph, those tangent lines would point up.

$f'(x)>0 \:at [-4,-2) \:and\:(2, \infty)$

3. For which values of x is f '(x) negative?

On the other hand, every time the function is decreasing its derivative would be negative. The opposite case of the previous explanation. So

$f'(x)$

4.What do these values mean?

$f(x) \:is \:increasing\:when\:f'(x) >0\\\\f(x)\:is\:decreasing\:when f'(x)$

5.(b) For which values of x is f ''(x) zero?

In its inflection points, i.e. when the concavity of the curve changes. Since the function was not provided. There's no way to be precise, but roughly

at x=-4 and x=4

6 0

3 years ago