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3 years ago

A 263 kg motorcycle moves with a velocity of 5 m/s. What is its kinetic energy? ______ joules

1 answer:

7 0

$K.E= \frac{1}{2} mv^2$

K.E= Kinetic Engery
M=Mass
V=Velocity
m=263kg
v=5m/s

Plug the given info into the formula:
$K.E= \frac{1}{2} (263)(5)^2$

Final answer: <span>3287.5J </span>

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Peter is making green paint by mixing blue and yellow paint in a cuboid container, shown below. The container has width of 30cm

dusya [7]

Answer: height = 17.5cm

Step-by-step explanation: Peter mixes blue and yellow paint in the ratio 2:3, which means:

$\frac{2}{3} = \frac{8.4}{x}$

$x = \frac{8.4*3}{2}$

x = 12.6L

The container is full with the two paints, so total volume:

V = 12.6 + 8.4

V = 21L

Knowing that 1L = 1dm³ and sides of cuboid is measure in cm:

V = 21dm³ = 21000cm³

Volume of a cuboid is calculated as:

V = width*length*height

Height of the container is

height = $\frac{V}{width*length}$

height = $\frac{21000}{30*40}$

height = 17.5cm

The height of the container is 17.5cm.

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3 years ago

Find the value of x.

Jobisdone [24]

X=180-125-39=16 degrees

6 0

3 years ago

Prove algebraically that (m + 2)2 – m 2 – 12 is always a multiple of 4

Julli [10]

Answer:

$(m + 2)^{2} - m^{2} - 12 = 4(m - 2)$

Step-by-step explanation:

Step 1:

Write the expression

$(m+2)^{2} - m^{2} - 12$

Step 2: Expand $(m + 2)^{2}$

$(m+2)^{2} - m^{2} - 12\\(m+2)(m+2) - m^{2} - 12\\m^{2} + 2m + 2m + 4 - m^{2} - 12$

Step 3: Collect similar terms

$m^{2} - m^{2} + 4m + 4 - 12\\4m - 8$

Step 4: Factor 4 out of the expression to prove that the expression is a multiple of 4.

$Therefore\\4m - 8 = 4(m - 2)\\Hence,\\(m+2)^{2} - m^{2} - 12 is a multiply of 4 because the expression is equal to 4(m-2)$

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3 years ago

Find (f of f)(0) neeeed help ?

polet [3.4K]

So do you need help or are you asking people if they need help?

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3 years ago

Commutative property for 70*6000

Crazy boy [7]

(70*6000 = 420000) (6000*70 = 42000)

Bolded is the answer.

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3 years ago

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