MATHEMATICS HIGH SCHOOL

A bird with a mass of 1.5 kg flies at a rate of 4.0 m/s. What is the kinetic energy of the bird?

Answers

Answer 1

Answer: The answer is 12 J.

The kinetic energy (KE) of an object is expressed as the product of half of the mass (m) of the object and the square of its velocity (v²):
$KE = (1)/(2) m*v^(2)$

The unit of the kinetic energy is Joules (J = kg · (m/s)²).

It is given:
m = 1.5 kg
v = 4 m/s

It is unknown:
KE = ?

Thus:
$KE = (1)/(2) m*v^(2)$
$KE = (1)/(2) 1.5kg*(4 m/s)^(2)$
$KE = 0.75kg*16(m/s)^(2)$
$KE = 12 kg*(m/s)^(2)$
$KE = 12J$

Therefore, the kinetic energy of the bird is 12J.

Answer 2

Answer:

Answer:

12J

Step-by-step explanation:

A bird with a mass of 1.5 kg flies at a rate of 4.0 m/s. What is the kinetic energy of the bird?

3.0 J

12 J

30 J

120 J

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The volume of a solid right pyramid with a square base is v units3 and the length of the base edge is y units. which expression represents the height of the pyramid? units (3v – y2) units (v – 3y2) units units

Answers

we know that

The volume of a solid right pyramid with a square base is equal to

$V=(1)/(3)*[ area\ of\ the\ base]*height$

area of the base is the area of a square

$area\ of\ the\ base=y^(2)\ units^(2)\nV=v\ units^(3)$

Substitute the values in the formula of volume

$v=(1)/(3)*[ y^(2)]*height$

solve for the height

$v=(1)/(3)*[ y^(2)]*height\n \nheight=(3v)/(y^(2))\ units$

therefore

the answer is

$height=(3v)/(y^(2))\ units$

3v/y² units

Further explanation

Given:

The volume of a solid right pyramid with a square base is v units³
The length of the base edge is y units.

Question:

Which an expression represents the height of the pyramid?

The Process:

We will solve the problem of a geometric solid.

Let us recall the formula of volume of a right pyramid:

$\boxed{ \ V = (1)/(3) * base \ area * height \ }$

Because the base is square, we use the formula for square area, i.e., side times side.

Let us find out the height of the pyramid.

$\boxed{ \ Height = (3v)/(y * y) \ }$

Thus, an expression represents the height of the pyramid is $\boxed{\boxed{ \ (3v)/(y^2) \ }}$ units

Learn more

What is the volume of each prism? brainly.com/question/414021
The volume of rectangular prism brainly.com/question/11613210
Express the volume of the box as a function of the length of the edge of the base. What is its domain? brainly.com/question/4925904

Keywords: the volume of a solid right pyramid, a square, the length of the base edge, an expression, represent, the height, the formula, a geometric solid, units

Elia is training for her first marathon. she currently runs 10 mi. per week, and wants to increase her mileage by 2 mi. every week. if elia keeps to her training schedule write a formula to define the number of miles she runs each week. ( 1 point)

Answers

Answer: Required expression is given by

$y=8+2x$

Step-by-step explanation:

Since we have given that

Number of miles per week Elia is training for her first marathon = 10 miles

According to question, we have given that she wants to increase her mileage by 2 miles every week.

so, Equation becomes

10,12,14,16..........

Let the number of weeks be x

Since it forms an Arithmetic sequence,

As we know the formula for nth term :

$a_x=10+(x-1)2\n\ny=10+2x-2\n\ny=8+2x$

So, our required expression will be

$y=8+2x$

Answer:

y=2x+8

Step-by-step explanation:

Given is the number of miles per week Elia is training = 10 miles

And she wants to increase her mileage by 2 miles every week. Means the next week she will run 12 miles, next week she will run 14 miles and so on.

The series goes like this 10,12,14 and so on. This forms an arithmetic sequence.

Let the number of weeks be represented by x

The formula for nth term :

a = d (n - 1) + c, where d is the common difference between consecutive terms, and c = a1.

So, equation becomes a=10+(x-1)2

y=10+2x-2

y=8+2x or y=2x+8

Hence, the formula is : y=2x+8

Find the volume of a cube whose diagonal measures 36√3 cm.

Answers

Answer:

$46656 cm^3$

Step-by-step explanation:

If a cubes diagonal measures you can solve for its sidelength by creating a triangle. Visualize the diagonal as the hypotenuse of our triangle inside the cube. Then, one of the legs would be the side of the cube itself, and the other leg would be the diagonal of the bottom side of the cube. Knowing this is a cube, we can call each side s. If each side is s, then the diagonal of the bottom face is $s√(2)$ ( this is a special triangle property, $45-45-90$ triangle.) Then we know our triangle is a right triangle, so we can use the Pythagorean theorem to solve for s.

$s^(2) + (s√(2) )^(2) = (36√(3))^2$

Solve this equation for s.

$s^(2) + 2s^(2) = 3888$

$3s^(2) = 3888$

$s^(2) = 1296$

$s = 36$

Since we now found the side length of the cube, we can find its volume by cubing the side length:

$s^3 = (36)^3 = 46656$ $cm^3$

Find the sum of the geometric sequence –3, 15, –75, 375, … when there are 9 terms and select the correct answer below.A. -976,563
B.976,563
C.1,464,843
D.976,562

Answers

The correct answer to the question presented above would be letter A. -976, 563. I got this through solving with the first number of the set, then getting the ratio of the data set (which is -5) and the number of terms in the set. Thus, I arrived with the answer, -976, 563.

Answer:

Find the sum of the geometric sequence −3, 15, −75, 375, … when there are 9 terms and select the correct answer below.

-The answer is A. ( −976,563)

Explanation:

Took the test and got it correct.

The cost of oranges varies directly as the number of oranges sold. If 8 oranges cost $10.40, how many oranges can be bought for $33.80? PLS HELPP MEE

I WILL MARK BRAINLIEST

Answers

Answer:

26

Step-by-step explanation:

if you can get 8 oranges for 10.40 then divide 10.40 by 8. you can get each orange for 1.3. you need to know how many oranges you can get for 33.8 so divide that by 1.3 and you get 26

8 oranges=10.40 so 8/10.40= .76923 (per orange)
So then 33.80/.76923= 43.94 oranges. So technically with 33.80$ you can buy 43 oranges and will have some change left

What is 100/45 in a mixed number

Answers

100/45 = 2.2222222

so it is

2 10/45

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