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2 years ago

I need help on this!!

Mathematics

1 answer:

olga nikolaevna [1]2 years ago

3 0

Answer:

Commutative

Step-by-step explanation:

Given

$3 + b + 2 = 3 + 2 + b$

Required

What law is applied

The applied law is commutative law of addition.

This law states that:

$a + b = b + a$

So:

$3 + b + 2 = 3 + (b + 2)$

When the positions of 2 and b are interchanged, we have:

$3 + b + 2 = 3 + (2 + b)$

Remove bracket

$3 + b + 2 = 3 + 2 + b$

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Slope-rate of change- “if there were 12,000 in the Atlantic Ocean in 1950 and there are 3,600 dolphins today, what is the yearly

jasenka [17]

$\bf \begin{array}{|cc|ll} \cline{1-2} \stackrel{x}{year}&\stackrel{y}{dolphins}\\ \cline{1-2} &\\ 1950&12000\\ 2018&3600 \\&\\ \cline{1-2} \end{array}~\hspace{5em}(\stackrel{x_1}{1950}~,~\stackrel{y_1}{12000})\qquad (\stackrel{x_2}{2018}~,~\stackrel{y_2}{3600}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{3600-12000}{2018-1950}\implies \cfrac{-8400}{68}~~\approx~~ \stackrel{\textit{rate of change}}{-123.53}$

-8400/68 simplifies to to -2100/17, dolphins/year, so 2100 less dolphins every 17 years.

and we can just divide those to get the decimal amount of -123.53, which means, 123.53 less dolphins every year.

of course, there's no such a thing as 0.53 of a dolphin, so, we can say "about" 123 less dolphins per year.

5 0

2 years ago

Explain how to change a mixed fraction into an improper fraction.

Pie

Answer:

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator.

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Which equation can be used to solve for b? B 5 cm 10 cm 30°

kati45 [8]

The Question is Incomplete The complete question with figure is below.

Answer:

Therefore the equation to solve for b is

$\tan 30 = \dfrac{5}{b}$

Step-by-step explanation:

Given:

In Right Angle Triangle ABC

∠C = 90°

BC = 5 cm

AB = 10 cm

∠A = 30°

To Find:

b = ?

Solution:

In Right Angle Triangle ABC Tangent identity we have

$\tan A = \dfrac{\textrm{side opposite to angle A}}{\textrm{side adjacent to angle A}}$

Substituting the values we get

$\tan 30 = \dfrac{BC}{AC}\\\\\tan 30 = \dfrac{5}{b}$

Therefore the equation to solve for b is

$\tan 30 = \dfrac{5}{b}$

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3 years ago

What is the answer to this question? 1.4a^2+4a-63

LUCKY_DIMON [66]

Answer:

Step-by-step explanation:

Δ = $4^{2} - 4 * 4 * (-63) = 16 + 16 * 63 = 16 * (1 + 63) = 16 * 64$

VΔ = 4 * 8 = 32

a = (- 4 ± 32) * $\frac{1}{8}$

a' = 7/2

a''= 9/2

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2 years ago

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Vsevolod [243]

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6 0

3 years ago