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WARRIOR [948]
4 years ago
8

Use fundamental identities to fully simply the expression.

Mathematics
1 answer:
gtnhenbr [62]4 years ago
5 0

\bf \stackrel{\textit{pythagorean identities}}{sin^2(\theta)+cos^2(\theta)=1}\qquad \qquad \stackrel{\textit{symmetry identities}}{cos(-\theta)=cos(\theta ) } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{array}{llrll} 3sin^3(t)csc(t)\qquad &+cos^2(t)&\qquad +2cos(-t)cos(t)\\\\ 3sin^3(t)\cdot \cfrac{1}{sin(t)}&&+2[cos(t)]cos(t)\\\\ 3sin^2(t)&&+2cos^2(t) \end{array} \\\\[-0.35em] ~\dotfill\\\\ 3sin^2(t)+cos^2(t)+2cos^2(t)\implies 3sin^2(t)+3cos^2(t) \\\\\\ 3[sin^2(t)+cos^2(t)]\implies 3[1]\implies 3

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What is 12.8% of 312.5
dem82 [27]
312.5/x=100/12.8
<span>(312.5/x)*x=(100/12.8)*x     </span>
<span>312.5=7.8125*x       </span>
<span>312.5/7.8125=x </span>
<span>40=x </span>
<span>x=40</span>
6 0
3 years ago
Read 2 more answers
Please help and answer.
Korvikt [17]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
If gh-f=g-h, which of the following gives g in terms of the other variables?
JulsSmile [24]

The value of g in terms of other variables is g=\frac{f+h}{h-1}

Given the expression;

gh-f=g-h

We are to express g in terms of other variables as shown;

gh-f=g-h

Collect the like terms

gh - g = f + h

Factor out g

g(h - 1) = f + h

Divide both sides by h-1

g=\frac{f+h}{h-1}

Hence the value of g in terms of other variables is g=\frac{f+h}{h-1}

Learn more here: brainly.com/question/21406377

5 0
3 years ago
A study is performed in a large southern town to determine whether the average weekly grocery bill per four-person family in the
OLga [1]

Answer:

The average weekly grocery bill per four-person family in the town is significantly different from the national average.          

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = $100

Sample mean, \bar{x} = $103.23

Sample size, n = 25

Alpha, α = 0.05

Sample standard deviation, s = $8.82

First, we design the null and the alternate hypothesis

H_{0}: \mu = 100\text{ dollars}\\H_A: \mu \neq 100\text{ dollars}

We use Two-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{103.23- 100}{\frac{8.82}{\sqrt{25}} } = 1.831

Now,

t_{critical} \text{ at 0.05 level of significance, 24 degree of freedom } = \pm 2.063

Since,                

t_{stat} < t_{critical}

We accept the null hypothesis.

We accept the null hypothesis and determine that the average weekly grocery bill per four-person family in the town is significantly same to the national average.

4 0
3 years ago
Read 2 more answers
9. The temperature of a liquid that is increasing can be represented by the equation
34kurt

Answer:

92°F

Step-by-step explanation:

in degrees Fahrenheit,

t=7

f(7)=64 + 4(7)

=92

6 0
3 years ago
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