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3 years ago

Can anyone prove that this is wrong ?

Mathematics

1 answer:

never [62]3 years ago

3 0

That would be my approach...

${log( {0.5}^{2} )}^{3} \\ {log( { (\frac{1}{2}) }^{2} )}^{3} \\ {log( \frac{1}{2}) }^{6} \\ 6 \times log( \frac{1}{2} ) \\ 6 \times log {(2)}^{ - 1} \\ - 6 \times log2\\ -6$

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What’s an equation that passes through the ordered pair (3,7)and has a slope of -4

natita [175]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

$y = mx + b$

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

According to the statement data we have:

$m = -4\\(x, y) :( 3,7)$

Then, the equation is of the form:

$y = -4x + b$

We substitute the given point and find "b":

$7 = -4 (3) + b\\7 = -12 + b\\7 + 12 = b\\b = 19$

Finally, the equation is of the form:

$y = -4x + 19$

Answer:

$y = -4x + 19$

6 0

3 years ago

At the beginning of each year for 14 years, Sherry Kardell invested $400 that earns 10% annually. What is the future value of Sh

Naddik [55]

Hmm if I'm not mistaken, is just an "ordinary" annuity, thus

$\bf \qquad \qquad \textit{Future Value of an ordinary annuity}
\\\\
A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]
\\\\\\$

$\bf \begin{cases}
A=
\begin{array}{llll}
\textit{original amount}\\
\textit{already compounded}
\end{array} &
\begin{array}{llll}

\end{array}\\
pymnt=\textit{periodic payments}\to &400\\
r=rate\to 10\%\to \frac{10}{100}\to &0.1\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, so once}
\end{array}\to &1\\

t=years\to &14
\end{cases}
\\\\\\
A=400\left[ \cfrac{\left( 1+\frac{0.1}{1} \right)^{1\cdot 14}-1}{\frac{0.1}{1}} \right]
$

3 0

3 years ago

Read 2 more answers

Between the numbers 12,21 27,36 and 45 which of the numbers are visible by both 3 and 9

Westkost [7]

27 and 36

12 is too short to be multiplied by 9, 21 can be multiplied by 3 but not 9 again, 3 can’t go into 45. Which leaves 27 and 36. 3 times 9 equals 27. 3 times 12 equals 36, 9 times 4 equals 36.

7 0

3 years ago

Steve Ballmer, the current CEO of Microsoft, used to be the manager of his college football team. Among his duties, he had to be

lutik1710 [3]

9514 1404 393

Answer:

a. x + 4y = 160

b. 160

c. 40

Step-by-step explanation:

a. We can define the variables as ...

x = number of 1/2-liter bottles

y = number of 2-liter bottles

For the total number of liters to be 80, we require

1/2x + 2y = 80

We can multiply this by 2 to eliminate the fraction.

x + 4y = 160

b. The x-intercept is 160. It is the number of 1/2-liter bottles required when no 2-liter bottles are used.

c. The y-intercept is 40. It is the number of 2-liter bottles required when no 1/2-liter bottles are used.

7 0

3 years ago

3.) Solve by Elimination:<br> 3x + y = 15<br> 2x + y = 11

Travka [436]

Answer:

X = 4

Y = 3

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Can anyone prove that this is wrong ?​

Can anyone prove that this is wrong ?