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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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A prism with a volume of 148 cubic cm is dilated by a factor of 5.5.
OLEGan [10]

volume = 148 × 5.5 cube

= 24623.5 cubic cm

3 0
3 years ago
A man flies a kite at a height of 16 ft. The wind is carrying the kite horizontally from the man at a rate of 5 ft./s. How fast
Talja [164]

Answer:

4.41 feet per second.

Step-by-step explanation:

Please find the attachment.

We have been given that a man flies a kite at a height of 16 ft. The wind is carrying the kite horizontally from the man at a rate of 5 ft./s. We are asked to find how fast must he let out the string when the kite is flying on 34 ft. of string.

We will use Pythagoras theorem to solve for the length of side x as:

x^2+16^2=34^2

x^2=34^2-16^2

x^2=900\\\\x=30

Now, we will use Pythagorean theorem to relate x and y because we know that the vertical side (16) is always constant.

x^2+16^2=y^2

Let us find derivative of our equation with respect to time (t) using power rule and chain rule as:

2x\cdot \frac{dx}{dt}+0=2y\cdot \frac{dy}{dt}

We have been given that \frac{dx}{dt}=5 , y=34 and x=30.

2(30)\cdot 5=2(34)\cdot \frac{dy}{dt}

300=68\cdot \frac{dy}{dt}

\frac{dy}{dt}=\frac{300}{68}

\frac{dy}{dt}=4.4117647058823529

\frac{dy}{dt}\approx 4.41

Therefore, the man must let out the string at a rate of 4.41 feet per second.

8 0
3 years ago
Find the slope given the points (-3,4) and (9,-2)
Ainat [17]

Answer:

m = 1/5

Step-by-step explanation:

m= y2-y1/x2-x1

m= -2-(-3)/9-4

m= 1/5

4 0
3 years ago
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The answer to this problem is -6

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3 years ago
Simplify x + 8x - 3x
malfutka [58]

Answer:

6x

Step-by-step explanation:

BODMAS

8x + x  = 9x

9x - 3x = 6x

5 0
3 years ago
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