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2 years ago

12,-24, 48, -96, determine the next term for each sequence

1 answer:

7 0

So basically, 12 times -2 gives us -24, and 48 times -2 gives us -96, so to find the next numbers would be the number times -2, I think a possible number for this could be 192, followed by -384, but that’s just a wild guess.

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Find the limit of the function by using direct substitution.

serg [7]

Answer:

Option a.

$\lim_{x \to \frac{\pi}{2}}(3e)^{xcosx}=1$

Step-by-step explanation:

You have the following limit:

$\lim_{x \to \frac{\pi}{2}{(3e)^{xcosx}$

The method of direct substitution consists of substituting the value of $\frac{\pi}{2}$ in the function and simplifying the expression obtained.

We then use this method to solve the limit by doing $x=\frac{\pi}{2}$

Therefore:

$\lim_{x \to \frac{\pi}{2}}{(3e)^{xcosx} = \lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}cos(\frac{\pi}{2})}$

$cos(\frac{\pi}{2})=0\\$

By definition, any number raised to exponent 0 is equal to 1

$\lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}cos(\frac{\pi}{2})} = \lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}(0)}\\\\$

$\lim_{x\to \frac{\pi}{2}}{(3e)^{0}} = 1$

Finally

$\lim_{x \to \frac{\pi}{2}}(3e)^{xcosx}=1$

6 0

3 years ago

Find the absolute maximum and absolute minimum values, if any, of the function. (If an answer does not exist, enter DNE.)f(x) =

lyudmila [28]

Answer:

The absolute minimum value is " $-\frac{21}{4}$ " and the absolute maximum value is " $15$ ".

Step-by-step explanation:

Given:

$f(x)=x^2-x-5$

on,

$[0,5]$

By differentiating it, we get

⇒ $f'(x)=2x-1$

Set $f'(x)=0$

then,

⇒ $2x-1=0$

$2x=1$

$x=\frac{1}{2}$ (Critical point)

When x=0,

⇒ $f(x)=-5$

When $x=\frac{1}{2}$ ,

⇒ $f(x)=-\frac{21}{4}$ (Absolute minimum)

When $x=5$

⇒ $f(x)=15$ (Absolute maximum)

7 0

2 years ago

I NEED help pleaseee

dangina [55]

5 to the fifth power or 3125

8 0

2 years ago

Read 2 more answers

What is a number decreased by 4 is more than -1 . you have to write an inequality .

rosijanka [135]

You would just need to make an inequality from the description. You would make "x" the number. The answer would be "x-4>-1"

3 0

3 years ago

Toby bought 8 hotdogs and 5 fries. It cost $34.00

ruslelena [56]

Answer:

Each hot dog = $3

Each french fry = $2

Step-by-step explanation:

First, lets define our variables:

x = Hotdog

y = fries

Next, you need to set up a cost equation for both Toby and Bernie:

8x + 5y = 34

2x + 6y = 18

Now, we need to isolate one of the variable:

2x + 6y = 18

2x = 18 - 6y

x = 9 - 3y

Next, we need to insert this equation back into the first equation (8x+5y = 34) to find the cost of y (fries):

8x +5y = 34

8 (9-3y) + 5y = 34

72 - 24y + 5y = 34

72 - 19y = 34

19y = 38

y or fries = $2

Finally, we need to find the cost of each hotdog by using the cost of fries ($2) in one of the formulas:

2x + 6y = 18

2x + 6(2) = 18

2x + 12 = 18

2x = 6

x or hotdog = $3

I hope this helps!

-TheBusinessMan

6 0

3 years ago