Step-by-step explanation: you subtract 15-4 which equals 11. the exponent is the only thing being subtracted since it's a fraction. therefore it equals 10(11)

3 0

3 years ago

∠A and \angle B∠B are complementary angles. If m\angle A=(6x+29)^{\circ}∠A=(6x+29)

umka2103 [35]

Answer:

Step-by-step explanation:

Complementary angles add up to 90

6x + 29 + x + 5 = 90

6x + x + 29 + 5 = 90

7x + 34 = 90

7x = 90 - 34 {Subtract 34 from both sides}

7x = 56

x = 56/6 {Divide both sides by 6}

x = 8

∠A = 6x + 29

= 6*8 + 29

= 48 + 29

∠A = 77°

3 0

2 years ago

The crime rate in New York City has been steadily dropping over the past decades. In 1970, the murder rate was 15.8 per 100,000

mario62 [17]

$\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------$

$\bf \begin{array}{ccll}
\stackrel{period}{year}&\stackrel{per~10000}{crime}\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
1970&15.8\\
2012&3.5
\end{array}
\implies \cfrac{f(b)-f(a)}{b-a}\implies \cfrac{3.5-15.8}{2012-1970}\implies -\cfrac{12.3}{42}
\\\\\\
-0.2929\frac{\stackrel{per~10000}{crime}}{year}$

5 0

4 years ago