Which of the following situations are equal to 20? Select all that apply.

Solve for x. Evaluate and round your answer to 1 decimal place(tenths place). 10x=1200

Mandarinka [93]

Answer:

Step-by-step explanation:

<u>To solve first take logarithm to both sides</u>

That's

But

So we have

$x = log_{10}(1200)$

<u>Write 1200 as a number with the factor 100</u>

That's

1200 = 100 × 12

So we have

<h3> $x = log_{10}(100 \times 12)$ </h3>

<u>Using the rules of logarithms</u>

That's

<h3> $log_{a}(x \times y) = log_{a}(x) + log_{a}(y)$ </h3>

Rewrite the expression

That's

x = 3.079

So we have the final answer as

<h3>x = 3.1 to one decimal place</h3>

Hope this helps you

8 0

3 years ago

For the system of equations that follows, use Gaussian elimination to obtain an equivalent system whose coefficient matrix is in

Rainbow [258]

Answer:

$\begin{Vmatrix}1 & 0 & 0& 46/41 &180/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}$

Step-by-step explanation:

From the question we are told that

System of equations given as

x₁ + 3x₂ + x₃ + x₄ = 3;

2x₁ - 2x₂ + x₃ + 2x₄ = 8;

x₁ - 5x₂ + x₄ = 5

Matrix form

$\begin{Vmatrix}1 & 3 & 1&1&3\\2 & -2 & 1&2&8\\0&1 & -5 & 1& 5\end{Vmatrix}$ $\begin{Vmatrix}x_1\\x_2\\x_3\\x_4\end{Vmatrix}$

Generally the echelon reduction is mathematically applied as

$\begin{Vmatrix}1 & 3 & 1&1&3\\2 & -2 & 1&2&8\\0&1 & -5 & 1& 5\end{Vmatrix}$

Add -2 times the 1st row to the 2nd row

$\begin{Vmatrix}1 & 3 & 1&1&3\\0 & -8 & -1&0&2\\0&1 & -5 & 1& 5\end{Vmatrix}$

Multiply the 2nd row by -1/8

$\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&1 & -5 & 1& 5\end{Vmatrix}$

Add -1 times the 2nd row to the 3rd row

$\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&0 & -41/8 & 1& 21/4\end{Vmatrix}$

Multiply the 3rd row by -8/41

$\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}$

Add -1/8 times the 3rd row to the 2nd row

Add -1 times the 3rd row to the 1st row

$\begin{Vmatrix}1 & 3 & 0&49/41&165/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}$

Add -3 times the 2nd row to the 1st row

$\begin{Vmatrix}1 & 0 & 0& 46/41 &180/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}$

3 0

2 years ago

V + 2 > - 19 I need help solving

sammy [17]

Answer:

first figure out what v is then add it with 2 then compare

Step-by-step explanation:

6 0

2 years ago

One-eighth a number is two more than one-fourth the number. What is the number? A. −16 B. −4 C. 8 D. 16

Elenna [48]

Answer:

$\mathrm{A}$

Step-by-step explanation:

Let that number be x.

$1/8x=2+1/4x$

$1/8x-1/4x=2$

$-1/8x=2$

$x=2 \times -8/1$

$x=-16$

4 0

3 years ago

Read 2 more answers

The following table shows the expressions that represent the sales of two companies:

nikdorinn [45]

Answer: Company B

Step-by-step explanation: I got it right on the test

7 0

2 years ago

Read 2 more answers