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ELEN [110]
3 years ago
9

American eat an average of 100 acres of pizza per year this is equivalent to 4,356,000 square feet of pizza per year how is area

express using scientific notation
Mathematics
1 answer:
Kamila [148]3 years ago
5 0

Answer:

4.356 × 10⁶ square feet or 4.356 × 10⁶ ft² of pizza per year

Step-by-step explanation:

Scientific notation is a means, method or way that is used in mathematics to write very large or small real numbers in a very short form or compressed form.

Scientific notation uses exponents or 10 raised to the power of a particular number to write huge or small real number in a decimal form.

In the question, we are asked to express the area in square feet as a scientific notation.

The area = 4,356,000 square feet of pizza per year

4,356,000 square feet of pizza per year in scientific notation =

4.356 × 10⁶ square feet of pizza per year.

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The slope of y= x+5 is m =1
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2 years ago
How many solutions does the system have?<br> 8x + 2y = 14<br> (8x + 2y = 4
e-lub [12.9K]

Answer:

zero

Step-by-step explanation:

they are parallel once graphed

3 0
3 years ago
How many times does the graph of 4x = 32 - x2 cross the x-axis?
garik1379 [7]

Answer:

The graph crosses the x-axis 2 times

The solutions are  x = -8  &  x = 4

Step-by-step explanation:

Qaudratics are in the form ax^2 + bx+ c

Where a, b, c are constants

Now, let's arrange this equation in this form:

4x=32-x^2\\x^2+4x-32=0

Where

a = 1

b = 4

c = -32

We need to know the discriminant to know nature of roots. The discriminant is:

D=b^2-4ac

If

  • D = 0 , we have 2 similar root and there is 2 solutions and that touches the x-axis
  • D > 0,  we have 2 distinct roots/solutions and both cut the x-axis
  • D < 0,  we have imaginary roots and it never cuts the x-axis

Let's find value of Discriminant:

D=b^2-4ac\\D=(4)^2 -4(1)(-32)\\D=144

Certainly D > 0, so there are 2 distinct roots and cuts the x-axis twice.

We get the roots/solutions by factoring:

x^2+4x-32=0\\(x+8)(x-4)=0\\x=4,-8

Thus,

The graph crosses the x-axis 2 times

The solutions are  x = -8  &  x = 4

6 0
3 years ago
Read 2 more answers
Suppose z equals f (x comma y ), where x (u comma v )space equals space 2 u plus space v squared, y (u comma v )space equals spa
barxatty [35]

z=f(x(u,v),y(u,v)),\begin{cases}x(u,v)=2u+v^2\\y(u,v)=3u-v\end{cases}

We're given that f_x(6,1)=3 and f_y(6,1)=-1, and want to find \frac{\partial z}{\partial v}(1,2).

By the chain rule, we have

\dfrac{\partial z}{\partial v}=\dfrac{\partial z}{\partial x}\dfrac{\partial x}{\partial v}+\dfrac{\partial z}{\partial y}\dfrac{\partial y}{\partial v}

and

\dfrac{\partial x}{\partial v}=2v

\dfrac{\partial y}{\partial v}=-1

Then

\dfrac{\partial z}{\partial v}(1,2)=\dfrac{\partial z}{\partial x}(6,1)\dfrac{\partial x}{\partial v}(1,2)+\dfrac{\partial z}{\partial y}(6,1)\dfrac{\partial y}{\partial v}(1,2)

(because the point (x,y)=(6,1) corresponds to (u,v)=(1,2))

\implies\dfrac{\partial z}{\partial v}(1,2)=3\cdot2\cdot2+(-1)\cdot(-1)=\boxed{13}

4 0
3 years ago
Mo's farm stand sold a total of 165 pounds of apples and peaches. She sold apples for $1.75 per pound and peaches for $2.50 per
Ksju [112]

Answer:

 65  pounds of peaches.

Step-by-step explanation:

7 0
2 years ago
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