Investing in yourself and your career often requires you to “play it safe”.

Express the answer to 4.31x10^7 multiplied by 5.41x10^5 scientific notation.

I am Lyosha [343]

Answer:

The product of the two numbers is 2.33* 10^13

Explanation:

Given

4.31x10⁷ and 5.41x10⁵

Required

Multiply

The multiplication of the two digits is represented as thus:

$Result = 4.31 * 10^7 * 5.41 * 10^5$

This can also be rewritten as

$Result = 4.31 * 5.41 * 10^7 * 10^5$

Multiply 4.31 and 5.41

$Result = 23.3171 * 10^7 * 10^5$

Apply laws of indices

$Result = 23.3171 * 10^{7+5}$

$Result = 23.3171 * 10^{12}$

The scientific notation is always in the form: $a * 10^n$

Where $1 \leq\ a \leq 10$

So:

23.3171 can be rewritten as 2.33171 * 10

So, we have:

$Result = 2.33171 * 10* 10^{12}$

Also, apply law of indices again

$Result = 2.33171 * 10^{1+12}$

$Result = 2.33171 * 10^{13}$

It's always advisable (but not compulsory to approximate to 1 or 2 decimal places)

So:

$Result = 2.33* 10^{13}$

<em>Hence; the product of the two numbers is 2.33* 10^13</em>

7 0

3 years ago

A baseball (m=140g) traveling 32m/s moves a fielders

posledela

Answer:

Average force, F = 286.72 N

Explanation:

Given that,

Mass of the baseball, m = 140 g = 0.14 kg

Speed of the ball, v = 32 m/s

Distance, h = 25 cm = 0.25 m

We need to find the average force exerted by the ball on the glove. It is solved using the conservation of energy as :

$\dfrac{1}{2}mv^2=mgh$

F = mg

$\dfrac{1}{2}mv^2=Fh$

$F=\dfrac{mv^2}{2h}$

$F=\dfrac{0.14\times (32)^2}{2\times 0.25}$

F = 286.72 N

So, the average force exerted by the ball on the glove is 286.72 N. Hence, this is the required solution.

7 0

3 years ago

11) A sled is initially given a shove up a frictionless 35º incline. It reaches a maximum height of 2.5

Andrej [43]

Answer:

7 m/s

Explanation:

To solve this problem you must use the conservation of energy.

$K1 +U1=K2+U2$

That math speak for, initial kinetic energy plus initial potential energy equals final kinetic energy plus final potential energy.

The initial PE (potential energy) is 0 because it hasn't been raised in the air yet. The final KE (kinetic energy) is 0 because it isn't moving. This gives the following:

$KE1= \frac{1}{2}mv^{2}}$

$PE2=mgh$

K1=U2

$\frac{1}{2} mv^{2} =mgh$

Solve for v

$v=\sqrt{2gh}$

Input known values and you get 7 m/s.

5 0

3 years ago

4. Using the bone density of 2.0 kg/m3, calculate the mass of an adult femur bone that has a volume of 0.00027 m3.

kolbaska11 [484]

Answer:

$\boxed{\sf Mass \ of \ an \ adult \ femur \ bone = 0.00054 \ kg}$

Given:

Bone density = 2.0 kg/m³

Volume of bone (V) = 0.00027 m³

To Find:

Mass of an adult femur bone (m).

Explanation:

$\sf \implies Density = \frac{Mass (m)}{Volume (V)} \\ \\ \sf \implies \frac{Mass}{Volume} = Density \\ \\ \sf \implies Mass = Density \times Volume \\ \\ \sf \implies Mass = 2.0 \ kg/ \cancel{m^{3}} \times 0.00027 \ \cancel{m^{3}} \\ \\ \sf \implies Mass = 0.00054 \ kg$

6 0

3 years ago

All of the following processes are the ones that lead directly to the formation of sedimentary rock EXCEPT-

emmasim [6.3K]

Answer:

melting of rock deep underground.

Explanation:

The melting of rocks deep underground does not produce sedimentary rocks. Most igneous rocks are produced by this process.

When molten rocks underground called magma is solidified in the subsurface, it results into the formation of igneous bodies.

Sedimentary rocks forms by the accumulation of sediments.
Inside the basin where the sediments are deposited, they are compacted, cemented and lithified.
Chemical and physical weathering of rocks produces sediments.

4 0

3 years ago