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dalvyx [7]
2 years ago
14

For each of the regions D in R^2 below, fill in the blank so that the statements are true:

Mathematics
2 answers:
Dmitrij [34]2 years ago
8 0

Answer:

b. might or might not

Step-by-step explanation:

For each of the regions D in R^2 below, fill in the blank so that the statements are true: <u>might or might not</u>

andrey2020 [161]2 years ago
7 0

Answer:

b. might or might not

Step-by-step explanation:

Theorem:

If f is a continuous function in a bounded interval, it must have an absolute maximum.

In this question:

The interval is  2x^4+6y^2 >= 152, which goes to infinite, meaning it is not bounded, and so the function might or might not have an absolute maximum, and the correct answer is given by option b.

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A quadrilateral WXYZ contains wxy where measure of wxy=92 degrees. Once rotated 270° about the origin and translated 2 units up,
Marianna [84]

Answer:

C. 92 degrees

Step-by-step explanation:

Given that the \angle{wxy}=92° which is one of the angles of the quadrilateral WXYZ

The quadrilateral is first rotated by 270° about the origin and then translated 2 units up, the new position of the quadrilateral is W'X'Y'Z'.

The shape of the quadrilateral is remained unchanged due to rotation and translation, so all the angles of the final quadrilateral W'X'Y'Z' is the same as the angles of the given quadrilateral WXYZ.

So,\angle{w'x'y'}= \angle{wxy}

By using the given value,

\angle{w'x'y'}= 92°

Hence, option (C) is correct.

8 0
2 years ago
The model represents the equation 3x – 2 &lt; 4. What is the solution for this inequality? x &lt; 2 x &lt; 6 x &lt; -2 x &lt; -3
Oksana_A [137]

Answer:

the answer is x<2

Step-by-step explanation:

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6 0
3 years ago
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Verify the identity. <br> tan (x + pi/2) = -cot x
Leno4ka [110]
\tan\left(x+\dfrac\pi2\right)=\dfrac{\sin\left(x+\frac\pi2\right)}{\cos\left(x+\frac\pi2\right)}=\dfrac{\sin x\cos\frac\pi2+\cos x\sin\frac\pi2}{\cos x\cos\frac\pi2-\sin x\sin\frac\pi2}=\dfrac{\cos x}{-\sin x}=-\cot x
5 0
2 years ago
1. Suppose you pay back $680 on a $650 loan you had for 75 days. What was your simple annual interest rate?
harina [27]

well, let's assume a year has 365 days, so 75 days is simply 75/365 of a year.  We also know that your loan was $650 and you paid back $680 or namely 30 bucks extra, so the interest on those $650 is really 30 bucks.

~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill &\$30\\ P=\textit{original amount deposited}\dotfill & \$650\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\to \frac{75}{365}\dotfill &\frac{15}{73} \end{cases} \\\\\\ 30 = (650)(\frac{r}{100})(\frac{15}{73})\implies 30=\cfrac{9750r}{7300}\implies 30=\cfrac{195r}{146}\implies 4380=195r \\\\\\ \cfrac{4380}{195}=r\implies \stackrel{\%}{22.46}\approx r

3 0
2 years ago
What is the difference of 9.2 and 0.03
Vlad1618 [11]

Answer:

9.17

Step-by-step explanation:

9.20-0.03=9.17

4 0
2 years ago
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