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Dmitriy789 [7]
3 years ago
6

Need some help with these last few problems Thank you for your time and help

Mathematics
1 answer:
konstantin123 [22]3 years ago
3 0
(1) On the unit circle, you have \sin x=-1 when x=-\dfrac\pi2, and more generally this is the case whenever you perform a full rotation about the origin. This means \sin x=-1 any time x=-\dfrac\pi2+2n\pi where n is any integer.

(2) When x=-90^\circ, you have y=f(-90^\circ)=\cos(-90^\circ)=0.

(3) When x=-45^\circ, you have y=f(-45^\circ)=\tan(-45^\circ)=-1.

(4) The law of sines says that

\dfrac{12}{\sin40^\circ}=\dfrac{e}{\sin55^\circ}\implies e\approx15.292

(5) The law of cosines says that

b^2=6.5^2+8^2-2\times6.5\times8\cos37^\circ\implies b\approx4.816
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Solve for x: 2x − 2 &gt; 4x + 6.<br> x &lt; −4<br> x &gt; −4<br> x &lt; 4<br> x &gt; 4
igomit [66]

Answer:

The answer is the first choice, x < −4.

Step-by-step explanation:

Let's solve your inequality step-by-step.

2x−2>4x+6

Step 1: Subtract 4x from both sides.

2x−2−4x>4x+6−4x

−2x−2>6

Step 2: Add 2 to both sides.

−2x−2+2>6+2

−2x>8

Step 3: Divide both sides by -2.

x<−4

3 0
3 years ago
What is the value of x in the following equation?<br> 2 (x - 4) + 15 = 21
viktelen [127]
The answer would be x=7.
5 0
3 years ago
Jill has been watching the squirrels that live in her neighborhood. The number of squirrels changes each week. n f(n). 1 8. 2 12
qaws [65]

Answer: D) f(n)=8(1.5)^{n-1}


Step-by-step explanation:

From the given table we can see that this is not representing a linear function as the rate of change is not constant.

So it can be exponential growth function A(b)^{n-1},  where A is the initial amount , b is the multiplicative rate of growth and n is the time period in weeks.

Now here at n=1 , f(n)=8

Therefore, A=8

Now, for n=2

f(2)=8(b)^{2-1}\\\Rightarrow12=8b\\\Rightarrow\ b=\frac{12}{8}\\\Rightarrow\ b=1.5

By substitute the values of A and b in the above equation, we get the equation f(n)=8(1.5)^{n-1}

Therefore, the function best shows the relationship between n and f(n) is

f(n)=8(1.5)^{n-1}, where n is the number of weeks.

7 0
3 years ago
Read 2 more answers
Which statements describes the function f(x)=2(x-4)^4
kap26 [50]
You're right, c is the answer because the function is a parabola because of the power of four
6 0
4 years ago
Read 2 more answers
According to a recent study of 7335 young people in the US, 30% had been arrested for a crime other than a traffic violation by
victus00 [196]

Answer:

a) Statistic.

b) The population proportion is expected to be between 0.29 and 0.31 with a 94% degree of confidence.

Step-by-step explanation:

a) The proportion of 30% is a statistic, as it is a value that summarizes data only from the sample taken in the study from USA Today. Other samples may yield different proportions.

b) We can use the statistic to estimate a confidence interval for the parameter of the population.

The standard error for the proportion is calculated as:

\sigma_p=\sqrt{\dfrac{p(1-p)}{N}}=\sqrt{\dfrac{0.3\cdot 0.7}{7335}}=\sqrt{2.83\cdot10^5}= 0.00535

The margin of error is 0.01. We can use this value to determine the level of confidence that represents.

The formula for the margin of error is:

E=z\cdot \sigma_p=0.01\\\\z\cdot 0.0535=0.01\\\\z=1.87

This z-value, according to the the standard normal distribution, corresponds to a confidence interval of 94%.

The interval for this margin of error is:

p-E\leq \pi \leq p+E\\\\0.30-0.01\leq \pi \leq 0.30+0.01\\\\0.29\leq \pi \leq 0.31

Then, we can conclude that the population proportion is expected to be between 0.29 and 0.31 with a 94% degree of confidence.

3 0
4 years ago
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