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3 years ago

How do you write 30.0 in scientific notation? × 10^_

Mathematics

2 answers:

Pie3 years ago

8 0

Answer:

It's written as

$3 \times {10}^{1}$

Hope this helps you

Vera_Pavlovna [14]3 years ago

8 0

Answer:

3.0(10¹)

Step-by-step explanation:

Step 1: Convert number to proper decimal form

30.0 = 3.0

Step 2: Find exponent

Since we need to move the decimal place to the right by 1, our power is 1.

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1)fred eats 4 cups of brain flavored tofu each day. how many gallons does he eat every week?

denis-greek [22]

Answer: 1) 28 cups; 2)1.6 $\frac{tablespoons}{minute}$

Step-by-step explanation:

1) - As you know, there are 7 days in a week.

- Then, if Fred eats 4 cups of brain flavored tofu each day, you can calculate the amount he eats every week (which you can call $x$ ) by multiplying 4 cups by 7:

$x=(4cups)(7)\\x=28cups$

- Convert the result from cups to gallons:

$x=(28cups)(\frac{0.0625gallons}{1cup})\\x=1.75gallons$

2) - There are 60 minutes in an hour.

- Karen eats 3 pints of ice cream in an hour, therefore, she eats 3 pints in 60 minutes.

- You need to divide 3 pints by 60 minutes to calculate the amount she eats in an hour (which you can call $y$ ) by dividing 3 pints by 60 minutes:

$y=\frac{3pints}{60minutes}$

$y=0.05\frac{pints}{minute}$

- Convert the result to tablespoons:

$y=(0.05pints)(\frac{32tablespoons}{1pint}=1.6tablespoons}$

- The answer is: $1.6\frac{tablespoons}{minute}$

3 0

3 years ago

A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $20/ft and on the other three s

makvit [3.9K]

Answer:

The dimensions of the garden that minimize the cost is 9.018 feet(length) and 13.528 feet(width)

Step-by-step explanation:

Let the length of garden be x

Let the breadth of garden be y

Area of Rectangular garden = $Length \times Breadth = xy$

We are given that the area of the garden is 122 square feet

So, $xy=122$ ---A

A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $20/ft

So, cost of brick along length x = 20 x

On the other three sides by a metal fence costing $10/ft.

So, Other three side s = x+2y

So, cost of brick along the other three sides= 10(x+2y)

So, Total cost = 20x+10(x+2y)=20x+10x+20y=30x+20y

Total cost = 30x+20y

Substitute the value of y from A

Total cost = $30x+20(\frac{122}{x})$

Total cost = $\frac{2440}{x}+30x$

Now take the derivative to minimize the cost

$f(x)=\frac{2440}{x}+30x$

$f'(x)=-\frac{2440}{x^2}+30$

Equate it equal to 0

$0=-\frac{2440}{x^2}+30$

$\frac{2440}{x^2}=30$

$\sqrt{\frac{2440}{30}}=x$

$9.018 =x$

Now check whether it is minimum or not

take second derivative

$f'(x)=-\frac{2440}{x^2}+30$

$f''(x)=-(-2)\frac{2440}{x^3}$

Substitute the value of x

$f''(x)=-(-2)\frac{2440}{(9.018)^3}$

$f''(x)=6.6540$

Since it is positive ,So the x is minimum

Now find y

Substitute the value of x in A

$(9.018)y=122$

$y=\frac{122}{9.018}$

$y=13.528$

Hence the dimensions of the garden that minimize the cost is 9.018 feet(length) and 13.528 feet(width)

4 0

3 years ago

I needddddd helpppp itsss dueeeeeeeeeee TODAY

Nimfa-mama [501]

Answer:

Term and Coefficcent

Step-by-step explanation:

5 0

3 years ago

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A submarine is650 feet below sea level. If it defends 400 feet, which integer represents its new position

Musya8 [376]

Answer:

-1050

Step-by-step explanation:

-650+(-400)=-1050

We use negatives to show it is below sea level

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3 years ago

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Together, teammates Pedro and Ricky got 2678 base hits last season. Pedro had 282 more hits than Ricky. How many hits did each p

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Answer:

pedro- 1621

ricky- 1057

Step-by-step explanation:

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3 years ago

How do you write 30.0 in scientific notation? ____× 10^_____

How do you write 30.0 in scientific notation? × 10^_