MATHEMATICS HIGH SCHOOL

A unicorn whose mass is 65 kg is moving at a speed of 4 m/s. What is the unicorn's kinetic energy?

Answers

Answer 1

Answer:

Answer:

$KE = 520 J$

Step-by-step explanation:

$KE=(1)/(2)mv^2\nKE=(1)/(2)*65*4^2\nKE=(1)/(2)*65*16\n\nKE=520J$

Related Questions

1. Refer to the triangle below. If a = 3 and b = 6, A. Find the exact length of c in unsimplified radical form B. Find the exact length of c in simplified radical form C. Find c to the nearest hundredth
You have the numbers 1-24 written on slips of paper. if you choose one slip at random, what is the probability that you will select a number that is not divisible by 3?3/8 1/3 5/8 2/3
Factor: 75^2 – 2(75)(25) + 25^2
Multiply.–6 • (–12)A.72B.–18C.–72D.18
The Martinez family spent 28% of its monthly income for housing. If the family’s monthly income is $3,200, how much did they spend for housing?

Write the sentence as an equation. 323 decreased by d equals 369

Answers

$323 - d = 369$

Thus, d has to be negative, and you get:

$-d = 46$
$d = -46$

[Please help ASAP!]The table shows music preferences. What type of music do you prefer?
What type of music do you prefer?
Pop Classical Rap Jazz Rock Row totals
Male student: 80 60 80 70 100 390
Female student: 200 150 20 70 50 490
Column totals: 280 210 100 140 150 880

Pop Classical Rap Jazz Rock Row totals

80 60 80 70 100 390 (Male student)

200 150 20 70 50 490 (Female student)

280 210 100 140 150 880 (Column totals)

Which of the following are possible positive associations or observations? (1 point)

1. Rock music is the most popular music for each category of students.

2. The largest difference in conditional relative frequency between males and females is for pop music.

3. The smallest difference in conditional relative frequency between males and females is for jazz music.

4. Male and female students have the same conditional relative frequency for rap music.

Answers

Answer:

The answer is 2.

The largest difference in conditional relative frequency between males and females is is for pop music.

Step-by-step explanation:

males females difference

Pop 80 200 120 ←this shows that pop has the

Classical 60 90 90 greatest difference

Rap 80 20 60

Jazz 70 70 0

Rock 100 50 50

Total 390 490 100

Answer:

it is number 3 The smallest difference in conditional relative frequency between males and females is for jazz music.

Step-by-step explanation:

This is Algebra*Factor the trinomial or state that it is prime*

1. t^2 +2t - 48 =

2. t^2 + 16t - 48 =

3. t^2 - 13t - 48 =

4. x^2 - 17x + 42 =

5. x^2 + 13x - 30 =

Answers

1. ( t + 8) (t - 6) t = -8 and 6
2. prime
3. (t - 16) (t + 3) t = 16 and -3
4. prime
5. (t + 15) (t - 2) t = -15 and 2

A triangle has two sides of lengths 7 and 12 what value could the third side be

Answers

we know that the longest side of the triangle cannot be longer or equal to the legnth of the sum of the other two sides ( becasue if it was equal, then you would get a straight line)

so if you assume that 12 is longest side then the other sides could be 6

if you assume that the longest side is the third side then the longest side could be 18

Which monomials are perfect cubes? Check all that apply.3x3
8x12
27x9
100x3
125x5

Answers

When a number is multiplied by itself three times, then the resultant number is called a perfect cube. It is also a number with an exact cube root.

Out of the given options, $8x^(12)$ and $27x^(9)$ are perfect cubes.

$8x^(12)$ = $2x^(4)* 2x^(4)* 2x^(4)$ (2's are multiplied and powers are added)

$27x^(9)$ = $3x^(3)* 3x^(3)* 3x^(3)$ (3's are multiplied and powers are added)

The monomials that are perfect cubes out of the options given are: B. 8x^12, and C. 27x9.

What is a Perfect Cube?

A perfect cube is a number that can give you a precise cube root, i.e. a³ = a × a × a = ∛a³ = a.

27x^9 can be expressed as: ∛(27x^9) = 3x³

8x^12 can be expressed as: ∛(8x^12) = 2x^4

Therefore, the perfect cubes are: B. 8x^12, and C. 27x9.

Learn more about perfect cube on:

brainly.com/question/13161078

#SPJ5

Could someone help me please? I am completely lost on how to figure out this problem.Use Synthetic division to show that x is a solution for the third degree polynomial equation and use the result to Factor the Polynomial Completely. List All real solutions of the equation

x^3 - 57x - 56 = 0, x = -1

x = _______ (smallest value)
x = _______
x = _______ (largest value)

Answers

From the factor theorem that says, "The polynomial P(x) has x-r as a factor if and only if r is a root of the equation P(x) = 0." So if you plugged -1 into the x's in the equation and get 0 back then, x+1 is a factor. Let's do it.
$( -1)^(3) -57(-1)-56=-1+57-56=0$
It works. When you plugged -1 into x, you got 0 back and that's what the factor theorem says.
Now let's test it with synthetic division. If we divide x+1 into the original equation and get a remainder of 0, then we should be good. I'll write it up on Paint and upload it.
As you can see, our remainder is 0 and our quotient is $x^(2) -x-56$ . This is the Factor the Polynomial part that you wanted. We can factor this into (x-8)(x+7). So our 3 roots of the equation are (x+1)(x-8)(x+7)
Hope this helps and i'm so sorry for the long reply. I forgot to put 0x^2 when I was doing synthetic division. :/ and also sorry for the unclear paint image. you can zoom in if you want. it's nothing really important it just shows me doing the synthetic division part where i divide x+1 into the original equation.

x^3 - 57x - 56=0⇒ x(x^2-57)= 56

Verify if x= - 1 is a solution of this equation.
(-1)* [(-1)^2 - 57]=56
(-1)[1 - 57] = 56
(-1)*(-56) = 56

56 =2*28 = (-2)*(-28) = 4*14 = (- 4)*(-14) = 8*7= (-8)*(-7)
x=8 ⇒ 8*(64-57)=56 ok⇒ x=8 is a solution
x= -7 ⇒ (-7)*(49-57)=56 ok ⇒ x= - 7 is a solution

the smallest x= -7
x= - 1
the largest x= 8

Other Questions

What is 16% of 25? A.64 B.16 C.6 D.4

Jake needs 9 pieces of rope that are each the same length. He cuts the pieces from a rope that is 8 yards long and uses up the whole piece of rope.How long is each piece of rope?WRITE THE ANSWER AS A FRACTION AND DECIMAL.

HELP NEEDED, GIVING BRAINLIEST!Apply the dilation D to the polygon with the given vertices. Name the coordinates of the image points. Identify and describe the transformation.D: ( x, y ) ---> ( 4x, 4y ) A ( 2, 1 ), B ( 4, 1 ), C ( 4, -3 ) A. This is a dilation about (0, 0) with a scale factor of 0.25; A'(8, 4), B' (16, 4), C' (16, -12).B. This is a dilation about (0, 0) with a scale factor of 4; A'(8, 4), B' (16, 4), C' (16, -12).C. This is a dilation about (0, 0) with a scale factor of 0.25; A'(0.5, 0.25), B, (1, 0.25), C' (1, - 0.75). D. This is a dilation about (0, 0) with a scale factor of 4; A'(0.5, 0.25), B'(1, 0.25), C'(1, -0.75)

The ratio of the radii of two circles is 3:7. What is the ratio of their circumferences? A. 1:1 B. 3:7 C. 3:14π D. 6π:7 E. 9:49