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2 years ago

How long is 1 million days ago in hours in scientific notationHow long was Amelia days ago and I was in scientific notation

Mathematics

1 answer:

Tanya [424]2 years ago

8 0

Answer:

24,000,000 hours

Step-by-step explanation:

1,000,000 days x 24 hours = 24,000,000 hours

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The function f(x) = −x^2 − 5x + 50 shows the relationship between the vertical distance of a diver from a pool's surface f(x), i

pychu [463]

Set the function to equal zero:

$-x^2 - 5x + 50 = 0$

To find the zeros, or solutions, to this problem, we will use the quadratic formula:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Plug the values into the equation:

$a = -1, b = -5, c = 50$

$x=\frac{5\pm\sqrt{-5^2-4(-1)(50)}}{2(-1)}$

$x=\frac{5\pm\sqrt{25+200}}{-2}$

$x=\frac{5\pm15}{-2}$

Solve for both plus and minus:

$\frac{5 + 15}{-2} = \frac{20}{-2} = -10$

$\frac{5 - 15}{-2} = \frac{-10}{-2} = 5$

$x = -10, x = 5$

The question cannot use a negative value for x, as the diver cannot dive a negative distance from the board.

The answer is '<span>x = 5; the diver hits the water 5 feet away horizontally from the board', because x represents the horizontal distance away from the board.</span>

4 0

3 years ago

A rectangular yard has area 96 square feet. If the width of the yard is 4 ft less than length, what is the perimeter,in feet, of

marusya05 [52]

Area of the rectangular yard = 96 square feet
Let us assume the length of the yard = x feet
Width of the yard = x - 4 feet
Then
Area of the yard = length * width
96 = x(x - 4)
96 = x^2 - 4x
x^2 - 4x - 96 = 0
x^2 - 12x + 8x - 96 = 0
x(x - 12) +8(x - 12) = 0
(x - 12)(x + 8) = 0
As the value of length cannot be negative so
x - 12 = 0
x = 12
So
Length of the yard = 12 feet
Width of the yard = x - 4 feet
   = 12 - 4 feet
   = 8 feet
Then
Perimeter of the yard = 2 (length + width)
   = 2(12 + 8)
   = 2 * 20 feet
   = 40 feet.
So the perimeter of the yard is 40 feet.

6 0

3 years ago

Which equation represents the statement "One-fourth more than a number is equal to two-thirds?"

Nadya [2.5K]

Answer:

$x + \frac{1}{4} = \frac{2}{3}$

Step-by-step explanation:

The statement "One-fourth more than a number is equal to two-thirds" can be expressed in the mathematical form as given below:

Let the number be x.

Therefore, One-fourth more than a number = $x + \frac{1}{4}$

Now,

$\huge \red{\boxed{x + \frac{1}{4} = \frac{2}{3}}}$

This is the required answer.

7 0

3 years ago

Read 2 more answers

Write the equation of a line with an undefined slope that passes through the point (-6,3)

aksik [14]

Answer:

x = -6

Step-by-step explanation:

A line with an undefined slope is vertical and is always represented by the equation x = a number. That number, whatever it may be, represents the x-value of all the points it intersects. Thus, take the x-value of the point (-6,3) and put it into the equation. So, the equation must be x = -6.

6 0

2 years ago

Complete the table to summarize what you know about each rocket.

densk [106]

Need more information. need to see the table

3 0

2 years ago