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Alexandra [31]
3 years ago
13

SOLVE 5 and 6 for me.

Mathematics
1 answer:
Elza [17]3 years ago
7 0
Yes and yes are your two answer for the problems
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Find the slope of the tangent to y= -7Sin(x)+2cos(x) at x= 3π/4
BaLLatris [955]
Y = -7sin(x) + 2cos(x)
y = -7sin(3π/4) + 2cos(3π/4)
y = -7sin(9.42/4) + 2cos(9.42/4)
y = -7sin(2.355) + 2cos(2.355)
y = -7(0.03698381721) + 2(0.9993158646)
y = -0.2588867205 + 1.998631729
y = 1.739745009
6 0
3 years ago
There are 250 wolves in a national park. the wolf population is increasing at a rate of 16% per year. write an exponential model
Helga [31]

\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &250\\ r=rate\to 16\%\to \frac{16}{100}\dotfill &0.16\\ t=\textit{elapsed time} \end{cases} \\\\\\ A=250(1 + 0.16)^{t}\implies A=250(1.16)^t \\\\[-0.35em] ~\dotfill

A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill &1000\\ P=\textit{initial amount}\dotfill &250\\ r=rate\to 16\%\to \frac{16}{100}\dotfill &0.16\\ t=\textit{elapsed time} \end{cases} \\\\\\ 1000=250(1.16)^t\implies \cfrac{1000}{250}=1.16^t\implies 4=1.16^t \\\\\\ \log(4)=\log(1.16^t)\implies \log(4)=t\log(1.16) \\\\\\ \cfrac{\log(4)}{\log(1.16)}=t\implies \stackrel{\textit{about 9 years and 4 months}}{9.34\approx t}

7 0
1 year ago
Cha
attashe74 [19]

Answer:

3.1%

Step-by-step explanation:

6/196 × 100% = 3.1%

8 0
2 years ago
Solve for y: 1 + 7y = 5x -2
Setler79 [48]

Answer:

5x/7 - 3/7

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is the measurement of the missing angle?
RSB [31]

Answer:

Step-by-step explanation:

180-40+20=120

180-120+39=?

99=?

6 0
2 years ago
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