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2 years ago

What is 6.729 x 10^6 in standard form?

Mathematics

1 answer:

storchak [24]2 years ago

6 0

4.052×106=4052000

Explanation:

The number is written in scientific notation, where we write a number so that it has single digit to the left of decimal sign and is multiplied by an integer power of 10.

In general notation power of 10 is not used and we multiply the number in single digit by the power of 10 to get it in simple standard decimal notation.

Multiplying by a positive power of 10 means moving decimal to right and in case power is negative (this is when the number is less than 1) it meanss moving decimal to left. This is done by the power of 10.

Here we have

4.052×106= 4.0520000×100000= 4052000.

= 4052000

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A stained glass window is going to be installed in a semi-circular opening, which is above a 30 inch wide door. If the stained g

xenn [34]

The answer is $494.55

Let's first imagine a circle and calculate its area and then reduce it in half for the area of a semi-circle. Since this opening is above a 30-inch wide door, the circle will have a diameter of 30 inches.
The area of the circle (A) is:
A = π · r²
where:
π = 3.14
r - radius: r = diameter ÷ 2 = 30 ÷ 2 = 15 inches

So, the area of the circle is:
A = π · r² = 3.14 · 15² = 706.5 inches²

The area of the semicircle is half of the area of the circle:
A1 = A ÷ 2 = 706.5 ÷ 2 = 353.25 inches²

Since the stained glass window costs $1.40 per square inch, for 353.25 square inches it will cost $494.55:
353.25 square inches * 1.40 $/square inch = $494.55

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2 years ago

What is the equation of the line shown in the graph in standard form?

Dafna1 [17]

That would be y = -3.

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2 years ago

Read 2 more answers

A student desired to invest $1,540 into an investment at 9% compounded semiannually for 6 years. With all else equal, what is th

irga5000 [103]

Answer:

The future value of this initial investment after the six year period is $2611.6552

Step-by-step explanation:

Consider the provided information.

A student desired to invest $1,540 into an investment at 9% compounded semiannually for 6 years.

Future value of an investment: $FV=P(1+r)^n$

Where Fv is the future value, p is the present value, r is the rate and n is the number of compounding periods.

9% compounded semiannually for 6 years.

Therefore, the value of r is: $r=\frac{0.09}{2}=0.045$

Number of periods are: 2 × 6 = 12

Now substitute the respective values in the above formula.

$FV=1540(1+0.045)^{12}$

$FV=1540(1.045)^{12}$

$FV=1540(1.69588)$

$FV=2611.6552$

Hence, the future value of this initial investment after the six year period is $2611.6552

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3 years ago

How should the decimal point in 34.05 be moved to determine the product 34.05×106 ?

r-ruslan [8.4K]

Answer: Six places to the right

Step-by-step explanation:

For this exercise it is important to remember that. by definition, the exponent of a number indicates the number of times you must use the same factor to multiply.

Given:

$b^n$

"b" is the base and "n" is the exponent.

In this case, you have the following multiplication provided in the exercise:

$34.05*10^6$

Notice that the base 10 has an exponent 6. This indicates the following:

$10^6=10*10*10*10*10*10=1,000,000$

By definition, moving the decimal point 6 places to the right (because there are six zeros), is the same as multiplying the decimal number 34.05 by 1,000,000.

Therefore, based on the explained, when you move the decimal point six places to the right, you get the following product.

$34.05*10^6=34,050,000$

3 0

2 years ago

The length of a rectangular garden ABCD is 9 feet more than its width. It is surrounded by a brick walkway 4 feet wide as shown

Anna71 [15]

Answer:

16.5 ft by 25.5 ft

Step-by-step explanation:

Let w represent the width of the garden in feet. Then w+9 is the garden's length, and w(w+9) represents its area.

The surrounding walkway adds 8 feet to each dimension, so the total area of the garden with the walkway is ...

(w+8)(w+9+8) = w^2 +25w +136

If we subtract the area of the garden itself, then the remaining area is that of the walkway:

(w^2 +25w +136) - (w(w+9)) = 400

16w + 136 = 400 . . .simplify

16w = 264 . . . . . . . . subtract 136

264/16 = w = 16.5 . . . . . width of the garden in feet

w+9 = 25.5 . . . . . . . . . . .length of the garden in feet

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2 years ago