20) If a quadratic equation cannot be factored then

Daisy is building a rectangular pen for her chickens along one wall in her back yard. She needs to build a fence

frosja888 [35]

Answer:

Daisy has one side of the rectangular pen along the wall, so she needs one width, w, and two lengths, 2ℓ. She has at most 125 feet of fencing materials to build the fence for her pen

1 second/24 frames

so if he started with 0 frames

time s = (1/24) (additional f)

but he already had at least 250 frames

so

time s = (1/24)( f-250) or maybe less time if he had more than 250

24 s </= f - 250

or

f >/= 24 s + 250

Step-by-step explanation:

7 0

2 years ago

<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5Cint%20t%5E2%2B1%20%5C%20dt" id="TexFormula1" title="\frac{d}{dx} \

Kisachek [45]

Answer:

$\displaystyle{\frac{d}{dx} \int \limits_{2x}^{x^2} t^2+1 \ \text{dt} \ = \ 2x^5-8x^2+2x-2$

Step-by-step explanation:

$\displaystyle{\frac{d}{dx} \int \limits_{2x}^{x^2} t^2+1 \ \text{dt} = \ ?$

We can use Part I of the Fundamental Theorem of Calculus:

$\displaystyle\frac{d}{dx} \int\limits^x_a \text{f(t) dt = f(x)}$

Since we have two functions as the limits of integration, we can use one of the properties of integrals; the additivity rule.

The Additivity Rule for Integrals states that:

$\displaystyle\int\limits^b_a \text{f(t) dt} + \int\limits^c_b \text{f(t) dt} = \int\limits^c_a \text{f(t) dt}$

We can use this backward and break the integral into two parts. We can use any number for "b", but I will use 0 since it tends to make calculations simpler.

$\displaystyle \frac{d}{dx} \int\limits^0_{2x} t^2+1 \text{ dt} \ + \ \frac{d}{dx} \int\limits^{x^2}_0 t^2+1 \text{ dt}$

We want the variable to be the top limit of integration, so we can use the Order of Integration Rule to rewrite this.

The Order of Integration Rule states that:

$\displaystyle\int\limits^b_a \text{f(t) dt}\ = -\int\limits^a_b \text{f(t) dt}$

We can use this rule to our advantage by flipping the limits of integration on the first integral and adding a negative sign.

$\displaystyle \frac{d}{dx} -\int\limits^{2x}_{0} t^2+1 \text{ dt} \ + \ \frac{d}{dx} \int\limits^{x^2}_0 t^2+1 \text{ dt}$

Now we can take the derivative of the integrals by using the Fundamental Theorem of Calculus.

When taking the derivative of an integral, we can follow this notation:

$\displaystyle \frac{d}{dx} \int\limits^u_a \text{f(t) dt} = \text{f(u)} \cdot \frac{d}{dx} [u]$
where u represents any function other than a variable

For the first term, replace $\text{t}$ with $2x$ , and apply the chain rule to the function. Do the same for the second term; replace

$\displaystyle-[(2x)^2+1] \cdot (2) \ + \ [(x^2)^2 + 1] \cdot (2x)$

Simplify the expression by distributing $2$ and $2x$ inside their respective parentheses.

$[-(8x^2 +2)] + (2x^5 + 2x)$
$-8x^2 -2 + 2x^5 + 2x$

Rearrange the terms to be in order from the highest degree to the lowest degree.

$\displaystyle2x^5-8x^2+2x-2$

This is the derivative of the given integral, and thus the solution to the problem.

6 0

2 years ago

-4+(5+6/-6×5)-2 extra stuff to ask question

natta225 [31]

Answer:

Step-by-step explanation:

-4 + (5+6/ -6 × 5) -2

Solve the brackets first!

-4 + (11/ -30) -2

Add the -4 and -2

-6 + (-11/30)

[If you meant -2 multiplied by (-11/30) then , something like this, If not then continue after the bracket!:

-4 + (11/15)

(-60+11)/15

-49/15 Answer ]

Now,

-6 -11/30

(-180-11)/30

-191/30

Hope this helps!

Please mark brainliest! Would really appreciate!

7 0

3 years ago

watching Match the expression to its value. 10-4. 102 102= 0.01 10 104 1 = 0.000001 100 10-4 10,000 100 = 0.0001 104 -

Svetradugi [14.3K]

Answer:65739

Step-by-step explanation: because it has to be 65739 because it is the best possible answer

8 0

3 years ago

Read 2 more answers

The number of hours that is left for today is half the hours that has passed. what is the time?

notsponge [240]

Answer:

I think the answer would be 16 , here is my solution if you want

Step-by-step explanation:

2X+X=24

3X=24

X=8

24-8=16 .

Good luck .

5 0

2 years ago