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3 years ago

Which characteristic is correct for the function f(x)=-2x^4+3x^2?

Mathematics

1 answer:

kati45 [8]3 years ago

8 0

Because of the mixture of even and odd powers of x, <span>f(x)=-2x^4+3x^2 is neither even nor odd.

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A solid rectangular box with height 5 m and square base with side lengths 4 m is built using a lightweight material whose densit

elena55 [62]

Answer:

627200LJ

Step-by-step explanation:

Height of box=5 m

Side of square base=4 m

Volume of rectangular box= $l\times b\times h$

Using the formula

Volume of rectangular box= $4\times 4\times 5=80m^3$

Density of material= $800kg/m^3$

We know that

$Mass=Density\times volume$

Using the formula

Mass of rectangular box= $80\times 800=64000 kg$

Gravity= $g=9.8m/s^2$

Weight of rectangular box,F= $mg=64000\times 9.8 N$

Let L be the vertical distance traveled by box

Total work done = $W=F\times displacement$

Therefore,total work done against gravity = $64000\times 9.8 L$ =627200 L J

Hence, the box requires work against gravity=627200LJ

5 0

3 years ago

For a group of 100 people, compute(a) the expected number of days of the year that are birthdays of exactly 3 people.(b) the exp

Scilla [17]

Answer:

Step-by-step explanation:

Leaving leap years, a year contains 365 days.

For a group of 100 people, each person is independent of the other and probability of any day being his birthday has a chance of

$\frac{1}{365}$

a) Probability that exactly 3 people have same birthday = $\frac{1}{365^3}$

Each day is independent of the other

And hence no of days having exactly 3 persons birthday out of 100 persons is binomial with n = 365 and p = $\frac{1}{365^3}$

Expected value of days = np = $\frac{1}{365^2}$

b) Distinct birthdays is binomail with p =1/365 and n = 365

Hence

expected value = np =1

4 0

3 years ago

Solve the following equation for X. Round your answer to four decimal places.

strojnjashka [21]

ANSWER

x = 1.2226

EXPLANATION

To solve this equation we have to apply the property of the logarithm of the base,

$\log _bb=1$

Thus, we can apply the natural logarithm - whose base is e, to both sides of the equation,

$\ln e^{4x}=\ln 133$

Now we apply the property of the logarithm of a power,

$\log a^b=b\log a$

In our equation,

$\begin{gathered} 4x\ln e^{}=\ln 133 \\ 4x^{}=\ln 133 \end{gathered}$

Then divide both sides by 4 and solve,

$\begin{gathered} \frac{4x^{}}{4}=\frac{\ln 133}{4} \\ x\approx1.2226 \end{gathered}$

The solution to this equation is x = 1.2226, rounded to four decimal places.

4 0

1 year ago

The 200$ camera was on sale 15% off what was the price

Flauer [41]

Answer: $170
15% off 100 is $15 x2 is 30

5 0

3 years ago

Read 2 more answers

Not sure how I would solve this

Simora [160]

<h3>Answer: -6/5</h3>

Explanation:

The blue diagonal line goes through the two points (0,2) and (5,-4). These are shown as the dark blue enlarged points. You can pick any other points you want that are on the diagonal line, though these are the easiest as they stand out the most.

Use the slope formula to find the slope through these points

m = (y2-y1)/(x2-x1)

m = (-4-2)/(5-0)

m = (-6)/(5)

m = -6/5

The negative slope means the line goes downhill as you move from left to right along the diagonal line.

7 0

3 years ago