Which of the numbers is a rational number? a. eliminateb)11c)100d)143?

The kinetic energy (in joules) of a moving object can be calculated from the expression 1/2mv^2, where m is the mass of the obje

algol13

Answer: $116\text{ joules}$

Step-by-step explanation:

Given: Mass of baseball=0.145 kg

Speed of baseball=40 meters per second

Also it is given that The kinetic energy (in joules) of a moving object can be calculated from the expression $\frac{1}{2}mv^2$ , where 'm' is the mass of the object in kilograms and 'v' is its speed in meters per second.

Thus, the kinetic energy of baseball= $\frac{1}{2}(0.145)(40)^2$

$\frac{1}{2}(0.145)(1600)=116\text{ joules}$

3 0

3 years ago

Read 2 more answers

What is the radical form of the expression (2x^4y^5)^3/8

s344n2d4d5 [400]

We are given expression: $(2x^4y^5)^{3/8}$

Let us distribute 3/8 over exponents in parenthesis, we get

$(2^{3/8}x^{4\times 3/8}y^{5\times 3/8}) = (2^{3/8}x^{12/8}y^{15/8})$

$= (2^{3/8}x^{1\frac{4}{8}} y^{1\frac{7}{8}} )$

We can get x and y out of the radical because, we get whlole number 1 for x and y exponents for the mixed fractions.

So, we could write it as.

$(2^{3/8}x^{1\frac{4}{8}} y^{1\frac{7}{8}} ) = xy(2^{\frac{3}{8} }x^{\frac{4}{8}} y^{\frac{7}{8}} )$

Now, we could write inside expression of parenthesis in radical form.

$xy\sqrt[8]{2x^{3}x^4y^7}$

8 0

3 years ago

Log2cos(x) How do I find the derivative of the following question

I am Lyosha [343]

You can put it in a TI84 calculator and find the answer.

5 0

3 years ago

A girl wants to count the steps of a moving escalator which is going up. If she is going up on it, she counts 60 steps. If she i

Kaylis [27]

Let's V the speed of the girl in step
v the speed of the escalator in step
L the length between ground and floor.

V*60+v*60=L ==> V+v=L/60
V*90-v*90=L ==> V-v=L/90
2V=L(3+2)/180
==>V=5L/360
Time to climb (in step) with v=0 (escalator standing still)
V*t=L==> t=L/V=L/(L*5/360)=72

The girl will count 72 steps.

8 0

3 years ago

Read 2 more answers

A net and the prism it will form when it is folded are shown below.

Mashcka [7]

Answer:

Option A)724 square centimeters

Step-by-step explanation:

we know that

The surface of the prism is equal to the area of its six rectangular faces

The surface area is equal to

$SA=2B+PH$