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Mandarinka [93]
3 years ago
14

Which of the following best describes a tectonic plate?

Mathematics
2 answers:
alukav5142 [94]3 years ago
4 0
B Fragments of the Earths Crust that float on the Earths Mantle
Delvig [45]3 years ago
3 0

Answer:

B

Step-by-step explanation:  Plates at our planet's surface move because of the intense heat in the Earth's core that causes molten rock in the mantle layer to move. It moves in a pattern called a convection cell that forms when warm material rises, cools, and eventually sink down. As the cooled material sinks down, it is warmed and rises again.

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Martha filled a bowl with 0.5 cup of flour and 0.75 cup of milk. To the nearest cup, how many cups of ingredients were in the bo
Damm [24]
0.5 + 0.75 = 1.25

1.25 rounds off to 1.
7 0
3 years ago
What’s the vertex form of F(x)=x^2+2x-3
kupik [55]

Answer:

\large\boxed{f(x)=(x+1)^2-4}

Step-by-step explanation:

\text{The vertex form of a quadratic equation}\ f(x)=ax^2+bx+c:\\\\f(x)=a(x-h)^2+k\\\\(h,\ k)-\text{vertex}\\=====================================

\bold{METHOD\ 1:}\\\\\text{convert to the perfect square}\ (a+b)^2=a^2+2ab+b^2\qquad(*)\\\\f(x)=x^2+2x-3=\underbrace{x^2+2(x)(1)+1^2}_{(*)}-1^2-3\\\\f(x)=(x+1)^2-4\\==============================

\bold{METHOD\ 2:}\\\\\text{Use the formulas:}\ h=\dfrac{-b}{2a},\ k=f(k)\\\\f(x)=x^2+2x-3\to a=1,\ b=2,\ c=-3\\\\h=\dfrac{-2}{2(1)}=\dfrac{-2}{2}=-1\\\\k=f(-1)=(-1)^2+2(-1)-3=1-2-3=-4\\\\f(x)=(x-(-1))^2-4=(x+1)^2-4

4 0
3 years ago
You estimate that a baby pig weighs 21 lbs but it weighs 28 lbs what is the percent of error
lbvjy [14]
Your estimate of the baby pig's weight is 2 pounds. However the actual weight of it is only 16 pounds.
Let's solve for the percentage error of this.
=> 20 - 16 = 4 pounds
=> 4 / 16 = 0.25
=> 0.25 * 100% = 25%
Thus, you added 25% of the baby pig's weight
3 0
3 years ago
Read 2 more answers
Among all rectangles that have a perimeter of 182, find the dimensions of the one whose area is largest.
Evgen [1.6K]

Answer:

<em>The largest rectangle of perimeter 182 is a square of side 45.5</em>

Step-by-step explanation:

<u>Maximization Using Derivatives</u>

The procedure consists in finding an appropriate function that depends on only one variable. Then, the first derivative of the function will be found, equated to 0 and find the maximum or minimum values.

Suppose we have a rectangle of dimensions x and y. The area of that rectangle is:

A=x.y

And the perimeter is

P=2x+2y

We know the perimeter is 182, thus

2x+2y=182

Simplifying

x+y=91

Solving for y

y=91-x

The area is

A=x.(91-x)=91x-x^2

Taking the derivative:

A'=91-2x

Equating to 0

91-2x=0

Solving

x=91/2=45.5

Finding y

y=91-x=45.5

The largest rectangle of perimeter 182 is a square of side 45.5

6 0
3 years ago
The value of a house that was purchased 20 years ago has been appreciating by 1.2% each year since it was purchased. If the hous
Kamila [148]

I believe it would have been $347,316.95 at the time of purchase.

1.2% of 456996 is 5483.952

5483.952 \times 20 = 109679.04

So:

456996 - 109679.04 = 347316.95

7 0
3 years ago
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