All categories

4 years ago

I need to simplify each complex fraction like 3/4÷1/2

Mathematics

1 answer:

Korolek [52]4 years ago

6 0

Answer:

3/4=75

1/2=50

75/50=1.5

you covert 1.5 into fraction 1 1/2

Step-by-step explanation:

You might be interested in

Find the center of mass of the wire that lies along the curve r and has density =4(1 sin4tcos4t)

dolphi86 [110]

The mass of the wire is found to be 40π√2 units.

To calculate the mass of the wire which runs along the curve r ( t ) with the density function δ=5.

The general formula is,

Mass = $\int_a^b \delta\left|r^{\prime}(t)\right| d t$

To find, we must differentiate this same given curve r ( t ) with respect to t to estimate |r'(t)|.

The given integration limits in this case are a = 0, b = 2π.

Now, as per the question;

The equation of the curve is given as;

r(t) = (4cost)i + (4sint)j + 4tk

Now, differentiate this same given curve r ( t ) with respect to t.

$\begin{aligned}\left|r^{\prime}(t)\right| &=\sqrt{(-4 \sin t)^2+(4 \cos t)^2+4^2} \\&=\sqrt{16 \sin ^2 t+16 \cos ^2 t+16} \\&=\sqrt{16\left(\sin t^2+\cos ^2 t\right)+16}\end{aligned}$

Further simplifying;

$\begin{aligned}&=\sqrt{16(1)+16} \\&=\sqrt{16+16} \\&=\sqrt{32} \\\left|r^{\prime}(t)\right| &=4 \sqrt{2}\end{aligned}$

Now, use integration to find the mass of the wire;

$\begin{aligned}&=\int_a^b \delta\left|r^{\prime}(t)\right| d t \\&=\int_0^{2 \pi} 54 \sqrt{2} d t \\&=20 \sqrt{2} \int_0^{2 \pi} d t \\&=20 \sqrt{2}[t]_0^{2 \pi} \\&=20 \sqrt{2}[2 \pi-0] \\&=40 \pi \sqrt{2}\end{aligned}$

Therefore, the mass of the wire is estimated as 40π√2 units.

To know more about density function, here

brainly.com/question/27846146

#SPJ4

The complete question is-

Find the mass of the wire that lies along the curve r and has density δ.

r(t) = (4cost)i + (4sint)j + 4tk, 0≤t≤2π; δ=5

5 0

2 years ago

Which equations are in standard form? Check all that apply

NemiM [27]

Standard form is y=mx+b
<span>y = 2x + 5
</span><span>y = x – 9</span>

8 0

3 years ago

What are simulations?

lord [1]

Answer:

Step-by-step explanation:

"A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in the natural sciences (such as physics, biology, earth science, chemistry) and engineering disciplines (such as computer science, electrical engineering), as well as in the social sciences (such as economics, psychology, sociology, political science).

A model may help to explain a system and to study the effects of different components, and to make predictions about behavior."

6 0

3 years ago

FIRST GETS BRAILIEST Michael finds that 35 customers at his grandfather's grocery store use a coupon. To simulate the behavior

Nataly [62]

Answer:

$\frac{1}{3}$ .

Step-by-step explanation:

We are given that,

1, 2, 3 represents someone using a coupon and 4, 5 represents someone not using a coupon.

Now, the results out of 15 trials of the experiment are given to be:

43454, 24511, 55555, 43453, 55315, 25215, 32235, 43311, 11154, 13342, 42514, 13223, 44215, 45313, 13324.

Since, we can see that, the only possibilities where 4 or more customers use coupons are:

32235, 43311, 13342, 13223 and 13324.

That is, out of 15 trials, there are total 5 trials in which 4 or more customers use coupons.

Thus, the probability of 4 or more customers using a coupon is $\frac{5}{15}$ = $\frac{1}{3}$ .

Hence, the required probability is $\frac{1}{3}$ .

8 0

3 years ago

68) Volume of a Bucket: Determine the volume of a cylindrical bucket in cubic inches if the bucket's radius is 5 in.

Natalija [7]

Answer:

V = 300 $\pi$ in³ or 942.48 in³

Step-by-step explanation:

Use the cylinder volume formula, V = $\pi$ r²h, where r is the radius and h is the height.

Plug in the values and solve:

V = $\pi$ (5²)(12)

V = 300 $\pi$ in³ or 942.48 in³

7 0

3 years ago