At a maximum height (1.20 m) E = _____ PE = _____ KE =_____ h = 1.20 m v = 0 m/s m = 0.620 kg g = 9.81 m/s2


pahelp naman po :<

Answers

Answer 1

Answer:

E = 7.30 J

PE = 7.30 J

KE = 0

Step-by-step explanation:

Given;

maximum height, h = 1.2 m

mass of the object, m = 0.62 kg

velocity, v = 0 m/s

acceleration due to gravity, g = 9.81 m/s²

To determine;

total energy, E =?Potential energy, PE =?Kinetic energy, KE =?

The potential energy, PE = mgh

                                    PE = 0.62 x 9.81 x 1.2

                                    PE = 7.30 J

The kinetic energy, KE = ¹/₂mv²

                                KE = ¹/₂ x 0.62 x 0

                               KE = 0

The total mechanical energy, E = PE + KE

                                                 E = 7.30 J + 0

                                                E = 7.30 J


Related Questions

top cylinder: 6 in, 8 in
botton cube: 9 in, 9 in, 15 in
The volume of this figure is _____ cubic inches.​

Answers

Answer:

1441.08 in^3

Step-by-step explanation:

Volume of rectangular prism = 15 * 9 * 9 = 1215 in^3

radius = 3 in

Volume of the cylinder = 3^2 * 3,14 * 8 = 226.08 in^3

Total volume = 1215 + 226.08 = 1441.08 in^3

Answer:

HJHJGHJHG

Step-by-step explanation:

JGHU45565677689789

20. It takes Zach 15 minutes to walk 7 blocks to the swimming pool. 7 At this rate, how many blocks can he walk in one minute? Circle the letter of the correct answer. how do I do this step by step to solve it by myself ​

Answers

Answer:

Zach chose C as the correct answer

Uh I think it would be 0.47

7 divided by 15 is 0.47, that’s the amount of miles divided by the number of minutes. I’m really sleep deprived so sorry if this answer is wrong 3

Find the length of side xx in simplest radical form with a rational denominator.

Answers

Answer:

[tex]\frac{\sqrt{10} }{2}[/tex]

Step-by-step explanation:

on a 45 - 45 - 90 triangle if the sides are x then the hypotenuse is x[tex]\sqrt{2}[/tex]

so,

[tex]\sqrt{5}[/tex] = x[tex]\sqrt{2}[/tex]                  (Divide by [tex]\sqrt{2}[/tex] )

[tex]\frac{\sqrt{5} }{\sqrt{2} }[/tex] = x                        (rationalize the denominator)

[tex]\frac{\sqrt{5} }{\sqrt{2} }[/tex] · [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex] = [tex]\frac{\sqrt{10} }{\sqrt{4} }[/tex] = [tex]\frac{\sqrt{10} }{2}[/tex]

The length of side is √10/2

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The given triangle is a 45-90-45 so if the sides are x then the hypotenuse will be x√2

From the figure the hypotenuse of triangle is √5

SO equation it to x√2

We get √5=x√2

Divide both sides by √2

√5/√2=x

As the denominator should be a whole number we have to rationalize the denominator.

Multiply numerator and denominator with √2

√5/√2×√√2/√2

√10/2

Hence, the length of side is √10/2

To learn more on trigonometry click:

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The lateral area of a cone is 86 cm squared. The radius is 18 cm. Find the slant height to the nearest tenth.

Group of answer choices
1) 5.7 cm
2) 4.8 cm
3) 1.5 cm
4) 2.6 cm

Answers

i belive it is 4. 2.6

Answer: 4) 2.6 cm

Step-by-step explanation:

Because if the lateral area is 86 and the radius is 18, then the slant height is around 2.6

What is the mode of the set of numbers {55, 57, 59, 61, 62, 63, 64, 64, 65, 68, 69)

Answers

Answer:

64

Step-by-step explanation:

The mode of a data set is the number that occurs most frequently in the set.  So, just look for the number that appears the most.

I hope this helps!

Find the product

14/4 • 33/10 =

Answers

Answer:

Step-by-step explanation:

[tex]\frac{14}{4}*\frac{33}{10}=\frac{7}{2}*\frac{33}{10}\\\\ =\frac{7*33}{2*10}\\\\=\frac{231}{20}\\\\=11\frac{11}{20}[/tex]

A rectangle has an area of 32 square millimeters. The length of the rectangle is 888 millimeters. What is the width of the rectangle?

Answers

Answer:

0.036

Step-by-step explanation:

See image below:)

the area is 32 and the length is 888

you use the formula w= a/l

so a= 32 and l= 888

The width is 0.036mm.

What is area of a rectangle?

Area of a rectangle (A) is the product of its length (l) and width (w).

A= l. w

Here, given that,

the area is 32 and the length is 888

We use the formula w= A/l

so, A= 32 and l= 888

Then, width= w= 32/888

                         =0.036 mm.

Hence, width is 0.036mm

To learn more on Area click:

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Find the measure of the third angle of a triangle if the measures of the other two angles are given.
31.8 and 89.8

Answers

The three angles of a triangle equal 180

Third angle = 180 - 31.8 - 89.8 = 58.4

Answer: 58.4

What is essential to remember when simplifying a cube root compared to a square
root?

Answers

Answer:

The cube root of a number x is the length of the side of a cube whose volume is x cubic units.

The square root of a number x is the length of the side of a square whose area is x square units.

Hence the words ‘cube’ and ‘square’.

Mathematicians have then generalized these two concepts for when x is not necessarily a volume of a cube or an area of a square

A furnace operates at 2,300°F. Before it
can be used to extract metal from an ore,
the temperature must be raised to
3,600°F. This takes place at a rate of
250°F per quarter hour. Which equation
gives the furnace temperature T after q
quarter hours?
A T= 2509 + 2300
B T = 250q + 3600
C T = 2300q + 250
DT= 3600q + 250

Answers

Multiply the rate per quarter hour by quarter hours: 250g. This then gets added to the starting temperature of 2300

The answer would be : A. T = 250g + 2300

Which of the following is most likely the next step in the series?

Answers

Answer:

You didn't send a picture from that question so we don't know what to do with it.

Which equation in slope-intercept form represents a line that passes through the point (2,3) and is parallel to the line y-9=2/3(x+7)

Answers

Answer:

y=(2/3)x+5/3

Step-by-step explanation:

y-9=2/3(x+7)

y=(2/3)x+14/3+9

The slope of this line is 2/3, and if a line is parallel to this line, their slopes are the same. So the line is:

y=(2/3)x+b (where b is the y-intercept)

We can plug in the values (2,3) into this equation to find b:

3=(2/3)*2+b

3=4/3+b

b=5/3

The equation is: y=(2/3)x+5/3

What is the equation of the line that is parallel to y = 6x – 1 and passes through the point (-3, 4)?
The equation will be in slope-intercept form.

Answers

Answer:

y = 6x + 22

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 6x - 1 ← is in slope- intercept form

with slope m = 6

Parallel lines have equal slopes, then

y = 6x + c ← is the partial equation

To find c substitute (- 3, 4 ) into the partial equation

4 = - 18 + c ⇒ c = 4 + 18 = 22

y = 6x + 22 ← equation of parallel line

Hey Help me out please, thanks!

Answers

Answer:

The first one: 0=-3x-5+x²

Step-by-step explanation:

You have to rearrange the equation to identify the coffecients on the quadratic.

Answer:

First one.

Step-by-step explanation:

Put in standard form. Highest exponent to lowest to constant.

[tex]x^{2}[/tex] - 3x - 5 = 0

a[tex]x^{2}[/tex] - bx - c = 0

A 0.25 mL sample of water drawn from a 5 liter flask contains 1.25 x 10^8 bacteria. Give the approximate number of bacteria in the flask, expressing your answer in scientific notation.

(Scientific Notation: find a real number a between 1 and 10, and an integer n, such that x = a x 10^n.)

Answers

Answer:

The number of bacteria in 0.25 mL is 6.25 x 10^3.

Step-by-step explanation:

5 liter flask contains 1.25 x 10^8 bacteria.

So, 1liter flask contains = [tex]\frac{1.25 \times 10^8}{5} =2.5\times 10^7[/tex]

Now

0.25 mL contains = [tex]2.5\times 10^7 \times0.25\times 10^{-3} = 6.25\times 10^3[/tex]

The mean grade on the statistics exam is M=82, the standard deviation is G=12. What actual grade has a Z score of z= -1.5

Answers

Answer:

64

Step-by-step explanation:

-1.5 = (X - 82)12

-18 = X-82

X = 64

3,369,090 divided by 56

Answers

Answer:

60162.3214286

Step-by-step explanation:

that's just what my calculator said

I am not sure look it up on quizlet

Examine the equation.
-2(-x + 9) = 2(x - 9)

2x - 18 = 2x - 18
This equation has:
1. One solution
2. Infinity many solutions
3. No solution

Answers

Infinity many solutions

Line b has a slope of -2/7. Line c is perpendicular to b. What is the slope of c?

Answers

Perpendicular lines have negative reciprocal slopes.

This is just a fancy way of saying flip the fraction and change the sign.

So the slope of line c is 7/2.

Which of the following inequalities matches the graph?

Answers

Answer:

the answer is C, comment if you need explanation

Step-by-step explanation:

The answer is c comment if you need explanation

Can someone help me with this math homework please!

Answers

Answer:

(B) h is the function name; t is the input, or independent variable; and h(t) is the output, or dependent variable.

Step-by-step explanation:

You've probably seen this function notation format before, most likely f(x). Other common ones are g(x) and p(x). The f, g, and p are just function names, like the h in this question.

The t in the parentheses is the input, because it's the same as the t in 210 - 15t.

Together, h(t) is the output, which is the exact same as y if you used the formula y = mx + b.

Hope it helps (●'◡'●)


The circle below is centered at (4, q) and has a radius of 3. What is the equation.

Answers

Answer:

C

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (4, - 1 ) and r = 3 , then

(x - 4)² + (y - (- 1) )² = 3² , that is

(x - 4)² + (y + 1)² = 9 → C

Which of the following sampling methods are biased?

systematic random sample

voluntary response sample

convenience sample

simple random sample

Answers

Answer:

- voluntary response sample

- convenience sample

Step-by-step explanation:

Any method of sampling can be biased depending on how they are cared out; however, both voluntary response and convenience are almost always biased. This is because in both the sample is not controlled. In voluntary response, there is no way to ensure that the sample will be representative of everyone since it is based on volunteers. Convenience is also biased because the sample is skewed towards whatever is convenient not what is fair and representative.

Find the value of x and the value of y. 60 30 6

Answers

Answer:

The longest side, which is the opposite side of a right angle is the hypotenuse ( h ).

The opposite is the side opposite the angle involved and it is called the Perpendicular ( p ) .

The adjacent is the side next to the angle involved ( but not the hypotenuse ) and it is called the base ( b )

[tex] \large{ \tt{❃ \: TAKING \: \angle \: \: A \: AS \: A \: ANGLE \: OF \: REFERENCE : }}[/tex]

Here , Perpendicular ( p ) = 6 , hypotenuse = y and now we're going to find the value of y first : We know :

[tex] \large{ \tt{❁ \: sin \: 60 \degree = \frac{perpendicular}{hypotenuse} }}[/tex]

[tex] \large{ \tt{➝ \: \frac{ \sqrt{3} }{2} = \frac{6}{y} }}[/tex]

[tex] \large{ \tt{➝ \sqrt{3}y = 6 \times 2 }}[/tex]

[tex] \large{ \tt{➝ \: \sqrt{3} \: y = 12 }}[/tex]

[tex] \large{ \tt{➝ \: y= \frac{12}{ \sqrt{ 3} } }}[/tex]

[tex] \boxed{ \large{ \tt{➝ y = \: 4 \sqrt{3} }}}[/tex]

[tex] \large{ \tt{❇ \: TAKING \: \angle \: B \: AS \: THE \: ANGLE \: OF \: REFERENCE}} : [/tex]

Here - Perpendicular ( p ) = x , hypotenuse = y = 4 √ 3 and Now , we're gonna find the value of x :

[tex] \large{ \tt{❊ \: sin \: 30 \degree = \frac{perpendicular}{hypotenuse} }}[/tex]

[tex] \large{ \tt{⟶ \: \frac{1}{2} = \frac{x}{4 \sqrt{3} } }}[/tex]

[tex] \large{ \tt{⟶ \: 2x = 4 \sqrt{3} }}[/tex]

[tex] \large{ \tt{⟶ \: x = \frac{4 \sqrt{3} }{2} }}[/tex]

[tex] \boxed{\large{ \tt{⟶ \: x = 2 \sqrt{3} }}}[/tex]

[tex] \boxed{ \large{ \tt{❈ \: OUR \: FINAL \: ANSWER : \boxed{ \tt \: x = 2 \sqrt{3} \: \: y = 4 \sqrt{3} }✓}}}[/tex]

And we're done! Hope I helped! Let me know if you have any questions regarding my answer and also notify me , if you need any other help ! :)

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Which graph represents a function?

Answers

Answer:

Inspect the graph to see if any vertical line drawn would intersect the curve more than once. If there is any such line, the graph does not represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.

What is the effect on the graph f(x) = 1/x when it is transformed to g(x) = 1/x + 15?

Answers

Answer:

B

Step-by-step explanation:

It is shifted 15 units up. Think of how you're solving for y, and by adding 15 to the equation, y increases by 15. If y increases by 15 the graph shifts up by 15. Hope that helps.

10. Evaluate the function rule for the given value.
y = 12x3^for x =-2

Answers

Answer:

-96

Step-by-step explanation:

by replacing -2 on the place of x we get 12x-8= -96

Please help!!!!!!!! I’ve been stuck on this

Answers

5/20

Divide by 5 to simplify will give you 1/4

= 0.25 (in decimal form)

Helpppp please
Find the volume of this object.
Use 3 for pi

Answers

Answer:

The sphere

[tex]v=\frac{4}{3} \pi r^{3}=\frac{4}{3}*3.14 *2^{3}=\frac{4*3.14*8}{3}=\frac{100.48}{3}=33.493[/tex]

The cylinder

[tex]v=\pi r^{2} h=3.14*(\frac{4}{2} )^{2}*3=3.14*2^{2}*3=9.42*4=37.68[/tex]

Add those two volumes together:

[tex]33.493 + 37.68 = 71.173 in^{3}[/tex]

Two cylinders are similar. The surface
area of one is 64 cm2, and the surface
area of the other is 81 cm2. Find the
scale factor between them.
Enter the smaller number first.
scale factor =
[?]:[]

Answers

8:9 because you tak the square root of both
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