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adelina 88 [10]
3 years ago
15

0.0084 scientific notation

Mathematics
2 answers:
kogti [31]3 years ago
7 0

Answer:

8.4*10^-3

Step-by-step explanation:

Move the decimal point 3 places in order to get a number in the one's place.

JulsSmile [24]3 years ago
3 0
The answer would be 8.4x10^-3
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Solve x^2-12x+5=0 using the completing the square method
djyliett [7]

Answer:

x= 6 ± √31

Step-by-step explanation:

x^2-12x=-5

x^2 -12x +36= -5 +36

(x -6)^2= 31

√(x -6)^2= ±√31

(x-6)= ±√31

x= 6 ± √31

3 0
2 years ago
A box is to be made where the material for the sides and the lid cost​ $0.20 per square foot and the cost for the bottom is ​$0.
Reika [66]

Answer:

The dimension of the box is l×w×h =  (2.274 × 2.274 × 1.934) ft³

Step-by-step explanation:

From the given information;

Let a be the cost of the box

Let b  be one side of the square base ;    &

h to be the height  of the box

We know that the volume of the box = 10 cubic feet

Then;

a²h = 10

h = 10/a²

The base = (0.65)a²

The top = (0.2)a²

The side = (0.2) a × 25/a²

= 5/a

For the four sides of the box now ;

= (0.2) 4a × 25/a²

= 0.8  × 25/a

= 20 /a

The total cost of the box is:

b = 0.65a² + 0.2a² + 20 /a

b = 0.85 a² + 20 /a

Taking differential of b with respect to a ;we have:

db/da = 1.7a - 1/a²(20) = 0

1.7 a³ - 20 = 0

1.7 a³  = 20

a³ = 20/1.7

a³ = 11.77

a = \sqrt[3]{11.77}

a = 2.274 ft

Thus; the cost for the base of the box = (0.65)a²

the cost for the base of the box =(0.65) × ( 2.274)²

the cost for the base of the box = 3.362

The top of the box = (0.2)a²

The top of the box = (0.2)× ( 2.274)²

The top of the box = 1.034

The four sides of the box = 20 /a

The four sides of the box = 20/2.274

The four sides of the box = 8.795

the total cost = b = 0.85 a² + 20 /a

the total cost = 0.85 (2.274)² + 20 /2.274

the total cost = 4.395 + 8.795

the total cost = 13.19

Recall that:

the volume of the box = 10 cubic feet

Then;

a²h = 10

h = 10/a²

h = 10/ 2.274²

h  1.934

The dimension of the box is l×w×h =  (2.274 × 2.274 × 1.934) ft³

7 0
3 years ago
Write the following number in standard form. three and fifteen hundredths 3.15 3.015 315 3.105
soldier1979 [14.2K]
3.105 I believe.. not 100% sure.
3 0
2 years ago
Is the distance a baseball travels in the air after being hit a discrete random​ variable, a continuous random​ variable, or not
LuckyWell [14K]

Answer: a continuous random​ variable

Step-by-step explanation:

<u><em>Can you count the distance it traveled?</em></u> You can't, so it couldn't be discrete because you can count discrete variables.

<u><em>Can you measure the distance it traveled? </em></u>You sure can, that makes it a continuous random variable.

<u><em>Do you know the exact distance it's going to travel?</em></u><u> </u>You won't, therefore it's a random variable since you don't know the value beforehand.

5 0
2 years ago
A rectangular prism with a volume of
Fudgin [204]

Answer:I believe the answer is 12 because it takes 4, 1/4 unit cube to make 1 cubic unit so to make 3 cubic units you need 12, 1/4 unit cubes if that makes any sense. :) Please make Brainliest if this helped.

5 0
2 years ago
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