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Mariana [72]
3 years ago
13

What is the standard form of the number shown below 5×100+2×10+4×1+6×0.1+7×0.01+3×0.001

Mathematics
1 answer:
Studentka2010 [4]3 years ago
4 0

Answer:

524.673

Step-by-step explanation:

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An open box is made from a 40​-cm by 80​-cm piece of tin by cutting a square from each corner and folding up the edges. The area
tamaranim1 [39]

Answer:

x=2

Step-by-step explanation:

let x be the edge length of the square removed at each corner;

Hence the area of the base is:

A_b(80-2x)(40-2x)=2736\\\\3200-160x-80x+4x^2=2736\\\\\\4x^2-240x+3200=2736\\\\4x^2-240x+464=0\\\\x^2-60x+116=0

Using the quadratic equation formula, or completing the square, x, or length of a side of one of the squares is x=2 or x=58

#Given that x=58 is larger than 40cm, the side length is x=2

6 0
3 years ago
a teacher plans for groups of her students to eat lunch at tables. she has 34 students in her class. each group will have 7 stud
S_A_V [24]
To find the answer for this word problem you can start by dividing 34/7
You will find yourself with 4 tables that can fit 7 students and 6 studebts will have to sit at a table because they are the ones left.
So there will be 4 tables full of 7 seven students each and one table with 6 students.

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7 0
3 years ago
assume x and y are both differentiable functions of t. find dx/dt given x=-1 and dy/dt=8 for the relation: 4x^2+3y^3=28
melomori [17]

Given:

x and y are both differentiable functions of t.

4x^2+3y^3=28

x=-1\text{ and }\dfrac{dy}{dt}=8

To find:

The value of \dfrac{dx}{dt}.

Solution:

We have,

4x^2+3y^3=28       ...(i)

At x=-1,

4(-1)^2+3y^3=28

4+3y^3=28

3y^3=28-4

3y^3=24

Divide both sides by 3.

y^3=8

Taking cube root on both sides.

y=2

So, y=2 at x=-1.

Differentiate (i) with respect to t.

4(2x\dfrac{dx}{dt})+3(3y^2\dfrac{dy}{dt})=0

Putting x=-1, y=2 and \dfrac{dy}{dt}=8, we get

4(2(-1)\dfrac{dx}{dt})+3(3(2)^28)=0

-8\dfrac{dx}{dt}+9(4)(8)=0

-8(\dfrac{dx}{dt}-9(4))=0

Divide both sides by -8.

\dfrac{dx}{dt}-36=0

\dfrac{dx}{dt}=36

Therefore, the value of 4x^2+3y^3=28 is 36.

6 0
3 years ago
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