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3 years ago

Which statement best explains the value of 16-(-3)

Mathematics

2 answers:

solmaris [256]3 years ago

8 0

Anytime you subtract a negative number it changes it to adding a positive number.

16-(-3) → 16 + 3

= 19

Best of Luck!

Alja [10]3 years ago

3 0

Answer: 48

Step-by-step explanation:

It is the negative of 16 times the negative of 3.

Not sure if this is the answer but I hope it helps!

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3 years ago

If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate (in cm/min) at which the diameter d

grin007 [14]

Answer:

The diameter decreases at a rate of 0.053 cm/min.

Step-by-step explanation:

Surface area of an snowball

The surface area of an snowball has the following equation:

$S_{a} = \pi d^2$

In which d is the diameter.

Implicit differentiation:

To solve this question, we differentiate the equation for the surface area implictly, in function of t. So

$\frac{dS_{a}}{dt} = 2d\pi\frac{dd}{dt}$

Surface area decreases at a rate of 3 cm2/min

This means that $\frac{dS_{a}}{dt} = -3$

Tind the rate (in cm/min) at which the diameter decreases when the diameter is 9 cm.

This is $\frac{dd}{dt}$ when $d = 9$ . So

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3 years ago

A concert hall has 12 seats in the first row, 14 seats in the second row, 16 seats in the third row, and so on. If the pattern c

Marrrta [24]

Given:

The number of seats in the first row is <em>a</em>₁ = 12.

The series of the increasing number of seats is 12, 14, 16......

The objective is to find the total number of seats in the first 12 rows.

Explanation:

The difference between the number of seats in each row can be calculated by the difference between the successive terms of the series.

$\begin{gathered} d=14-12=2 \\ d=16-14=2 \end{gathered}$

The number of rows to be calculated is <em>n</em> = 12.

To find the number of seats:

The number of seats presents in the first 12 rows can be calculated as,

$S_n=\frac{n}{2}\lbrack2a_1+(n-1)d\rbrack$

On plugging the obtained values in the above equation,

$\begin{gathered} S_{12}=\frac{12}{2}\lbrack2(12)+(12-1)2\rbrack \\ =6\lbrack24+11(2)\rbrack \\ =6(46) \\ =276 \end{gathered}$

Hence, the total number of seats in the first 12 rows is 276.

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1 year ago