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3 years ago

(3×10^2 )×(2×10^−4 )=

Mathematics

1 answer:

Alik [6]3 years ago

6 0

Answer:

Step-by-step explanation:

First, lets simplify everything in the parenthesis.

(3×10^2 )×(2×10^−4 )=

In the parenthesis, since exponents come before multiplication in the order of operations, we need to do the exponents first.

(3 • 100) • (2 • 1/10^4)

Now, we can just multiply everything from left to right to get:

6*10^-2

.06

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How do you get the answer for 10 millimeters increased by 30%

tiny-mole [99]

First you have to find what 30% of ten is, and then add it to the 10. So how do you find 30 % of 10? In math...

"of" means ×
"is" means =

30% of 10 is
30 % × 10 =

change 30% to a decimal by dividing by 100 ( move the decimal to the left 2 places)

.30 × 10 = 3

So 30% of ten is 3. Now since we are increasing by 30%, we have to add it to the original value, 10.

3 + 10 = 13

So 10 millimeters increased by 30% is

13 millimeters

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3 years ago

Madison is thinking of a number.She states that the sum of her number , n,and 2/7,is equal to 3/4. write an equation that repres

zhannawk [14.2K]

Answer:

Step-by-step explanation:

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3 years ago

Find the value of the expression 3.28x –x2 for x =2.28

Sergio [31]

Answer:

2.9184

Step-by-step explanation:

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7 0

3 years ago

You earn $100 plus 1/5 of your sales each week. What dollar amount of sales do you need this week to earn $600?

meriva

Answer:

You'll need $2,500 in sales this week to end up with $600 in income for the week.

Step-by-step explanation:

Let s represent the dollar amount of the total sales for the week.

The commission earned on such sales is 1/5, or 0.20, of s:

Commission: 0.20s

Then the correct expression for your weekly income is:

$100 + 0.20s = $600.

Solving for s, subtract $100 from both sides. Then 0.20s = $500, and through division we get s = $2,500.

You'll need $2,500 in sales this week to end up with $600 in income for the week.

8 0

3 years ago

A box with a square base and open top must have a volume of 171500 c m 3 . We wish to find the dimensions of the box that minimi

steposvetlana [31]

Answer:

The dimensions of the box that minimize the amount of material used is length of square base x = 70 cm and height of box = 35 cm

Step-by-step explanation:

The volume of the box with square base is V = x²h where x = length of side of square base and h = height of box.

Now, the area of the of box open at the top with dimensions of length, l , width, w and height, h are

A = 2lh + lw + 2wh

Now for a box of square base, l = w = x.

So, A = 2xh + x² + 2xh

A = x² + 4xh

Since V = x²h and V = 171500 cm³,

h = V/x² = 171500/x²

substituting h into A, we have

A = x² + 4xh

A = x² + 4x(171500 cm³/x²)

A = x² + 4 × 171500 cm³/x

A = x² + 686000 cm³/x

To find the value of x that minimizes A, we differentiate A with respect to x

So, dA/dx = d[x² + 686000 cm³/x]/dx

dA/dx = 2x - 686000 cm³/x²

equating this to zero, we have

2x - 686000 cm³/x² = 0

2x = 686000 cm³/x²

2x³ = 686000

x³ = 686000 cm³/2

x = ∛(343000 cm³)

x = 70 cm

To determine if this in a minimum dimension for A, we differentiate dA/dx and insert x = 70 cm

So, d²A/dx² = d[2x - 686000 cm³/x²]/dx

d²A/dx² = 2 + 3 × 686000 cm³/x³

d²A/dx² = 2 + 2058000 cm³/x³

with x = 70 cm, we have

d²A/dx² = 2 + 2058000 cm³/(70 cm)³

d²A/dx² = 2 + 2058000 cm³/343000 cm³

d²A/dx² = 2 + 6

d²A/dx² = 8 > 0

So, x = 70 is a minimum value for the dimension

Since h = 171500 cm³/x²

h = 171500 cm³/(70 cm)²

h = 171500 cm³/4900 cm²

h = 35 cm

So, the dimensions of the box that minimize the amount of material used is length of square base x = 70 cm and height of box = 35 cm

4 0

3 years ago

(3×10^​2 ​​ )×(2×10^​−4 ​​ )= ​​

(3×10^2 )×(2×10^−4 )=