Simplify 0.4(5a-3.2b+7)

Select the correct answer. Which equation best represents the curve of best fit for this data set? VA PW2ALG675_Logarithmic and

SVEN [57.7K]

Answer:

read the question and you will find the like the question and just find it out The weather report says the temperature is 20°c and will drop 5°c per hour for the next 6 hours.

Temperature drops by 5°c per hour

So we find the temperature after 6 hours

In 1 hour temperature drops= 5°c

So in 6 hours = 6* 5 = 30°c

In 6 hours , temperature drops by 30°c

the actual temperature is 20°c. after 6 hours the temperature becomes

20°c - 30°c= -10°c

So, after 6 hours the temperature will be -10°c

Daryl plans to be gone for at least 6 hours. so its 6 hours or more than 6 hours

In 6 hours or more than 6 hours , the temperature will drop less than -10°c

Step-by-step explanation:

3 0

3 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

3 years ago

5y+6+7y=?(6y+?)what is the answer

marysya [2.9K]

12y +6 is the answer to that question

6 0

3 years ago

Find the missing values in the ratio table. Then write the equivalent ratios.

Shtirlitz [24]

Answer:

trucks: 8, cars: 18

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

The objective is graph the inequalities in the coordinate plane. *10 POINTS*

Serga [27]

thsgs the best i can help but I think the line would be dashed not sure

5 0

3 years ago