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3 years ago

What the freak is this 4^(x)-2^(x+1)=48

Mathematics

2 answers:

Dmitry_Shevchenko [17]3 years ago

7 0

Answer:

4^x - 2^(x+1) = 48

x=3

Step-by-step explanation:

kolbaska11 [484]3 years ago

3 0

Answer:

4^x+2^2x=47

Step-by-step explanation:

4^x+2^2x+1=48

We move all terms to the left:

4^x+2^2x+1-(48)=0

We add all the numbers together, and all the variables

4^x+2^2x-47=0

We move all terms containing x to the left, all other terms to the right

4^x+2^2x=47

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85% expressed as a fraction in simplest form is

Marizza181 [45]

Hello There!

85% = 85/100

85/100 = 0.85

0.85/1 * 100/100

85/100

SIMPLIFIED IS 17/20

8 0

3 years ago

Read 2 more answers

According to Okun's law, if the unemployment rate goes from 5% to 3%, what will be the effect on the GDP?

olga2289 [7]

Answer:

D. It will increase by 1%.

Step-by-step explanation:

Given

$u_1 = 5\%$ --- initial rate

$u_2 = 3\%$ --- final rate

Required

The effect on the GDP

To calculate this, we make use of:

$\frac{\triangle Y}{Y} = u_1 - 2\triangle u$

This gives:

$\frac{\triangle Y}{Y} = 5\% - 2(5\% - 3\%)$

$\frac{\triangle Y}{Y} = 5\% - 2(2\%)$

$\frac{\triangle Y}{Y} = 5\% - 4\%$

$\frac{\triangle Y}{Y} = 1\%$

<em>This implies that the GDP will increase by 1%</em>

5 0

3 years ago

acob wanted to buy some ice cream, but did not know what flavor to get so he asked Caitlyn to pick for him. The shop has 4 flavo

LenaWriter [7]

Answer:

1/12 or 1/24 sorry

Step-by-step explanation:

3types * 4 flavors

5 0

3 years ago

The system of equations may have a unique solution, an infinite number of solutions, or no solution. Use matrices to find the ge

Leno4ka [110]

Answer:

Infinite number of solutions.

Step-by-step explanation:

We are given system of equations

$5x+4y+5z=-1$

$x+y+2z=1$

$2x+y-z=-3$

Firs we find determinant of system of equations

Let a matrix A= $\left[\begin{array}{ccc}5&4&5\\1&1&2\\2&1&-1\end{array}\right]$ and B= $\left[\begin{array}{ccc}-1\\1\\-3\end{array}\right]$

$\mid A\mid=\begin{vmatrix}5&4&5\\1&1&2\\2&1&-1\end{vmatrix}$

$\mid A\mid=5(-1-2)-4(-1-4)+5(1-2)=-15+20-5=0$

Determinant of given system of equation is zero therefore, the general solution of system of equation is many solution or no solution.

We are finding rank of matrix

Apply $R_1\rightarrow R_1-4R_2$ and $R_3\rightarrow R_3-2R_2$

$\left[\begin{array}{ccc}1&0&1\\1&1&2\\0&-1&-3\end{array}\right]$ : $\left[\begin{array}{ccc}-5\\1\\-5\end{array}\right]$

Apply $R_2\rightarrow R_2-R_1$

$\left[\begin{array}{ccc}1&0&1\\0&1&1\\0&-1&-3\end{array}\right]$ : $\left[\begin{array}{ccc}-5\\6\\-5\end{array}\right]$

Apply $R_3\rightarrow R_3+R_2$

$\left[\begin{array}{ccc}1&0&1\\0&1&1\\0&0&-2\end{array}\right]$ : $\left[\begin{array}{ccc}-5\\6\\1\end{array}\right]$

Apply $R_3\rightarrow- \frac{1}{2}$ and $R_2\rightarrow R_2-R_3$

$\left[\begin{array}{ccc}1&0&1\\0&1&0\\0&0&1\end{array}\right]$ : $\left[\begin{array}{ccc}-5\\\frac{13}{2}\\-\frac{1}{2}\end{array}\right]$

Apply $R_1\rightarrow R_1-R_3$

$\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]$ : $\left[\begin{array}{ccc}-\frac{9}{2}\\\frac{13}{2}\\-\frac{1}{2}\end{array}\right]$

Rank of matrix A and B are equal.Therefore, matrix A has infinite number of solutions.

Therefore, rank of matrix is equal to rank of B.

4 0

3 years ago

Aaron runs a distance of 7.2km in the SE direction. How far east has Aaron run? Answer correct to one decimal point

timofeeve [1]

Step-by-step explanation:

cos 45° = distance to east / total distance=7,2

distance to east = cos 45° * 7,2 = 5,1 km

5 0

2 years ago