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3 years ago

I need help with #10 & #12

Mathematics

1 answer:

masya89 [10]3 years ago

5 0

hfbw r r4 fc wfb 2ebn f4v3v bc2hjbw mw4

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Pls help

mr Goodwill [35]

It's a because 5 divided by 9 equals .555555555555556. The 6 is just from rounding the number. Otherwise the five would go on forever. The bar means go on forever. So it .5 with a bat over the 5

4 0

3 years ago

Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations.

hram777 [196]

Write the system in augmented-matrix form:

$\left[\begin{array}{ccc|c}2&2&4&16\\5&-2&3&-1\\1&2&-3&-9\end{array}\right]$

Multiply through row 1 by 1/2:

$\left[\begin{array}{ccc|c}1&1&2&8\\5&-2&3&-1\\1&2&-3&-9\end{array}\right]$

Add -1(row 1) to row 3, and add -5(row 1) to row 2:

$\left[\begin{array}{ccc|c}1&1&2&8\\0&-7&-7&-41\\0&1&-5&-17\end{array}\right]$

Swap rows 2 and 3:

$\left[\begin{array}{ccc|c}1&1&2&8\\0&1&-5&-17\\0&-7&-7&-41\end{array}\right]$

Add -7(row 2) to row 3:

$\left[\begin{array}{ccc|c}1&1&2&8\\0&1&-5&-17\\0&0&-42&-160\end{array}\right]$

Multiply through row 3 by -1/42:

$\left[\begin{array}{ccc|c}1&1&2&8\\0&1&-5&-17\\0&0&1&\frac{80}{21}\end{array}\right]$

Add 5(row 3) to row 2:

$\left[\begin{array}{ccc|c}1&1&2&8\\0&1&0&\frac{43}{21}\\0&0&1&\frac{80}{21}\end{array}\right]$

Add -1(row 2) and -2(row3) to row 1:

$\left[\begin{array}{ccc|c}1&0&0&-\frac53\\0&1&0&\frac{43}{21}\\0&0&1&\frac{80}{21}\end{array}\right]$

So the solution to the system is

$x=-\dfrac53,y=\dfrac{43}{21},z=\dfrac{80}{21}$

7 0

4 years ago

Read 2 more answers

What is the base of the natural logarithm function f(x) = ln(x)? Explain how you know.

Zarrin [17]

Answer:

base = e

Step-by-step explanation:

The general log function is defined as

$f(x)=\log_a x$ .... (1)

where, a is the base of the log function.

The natural logarithm function is

$f(x)=\ln x$

It can be rewritten as

$f(x)=\log_e x$ .... (2)

where, e is a constant or Euler's number is:

e ≈ 2.71828183

On comparing (1) and (2) we get

$a=e$

Therefore, the base of the natural logarithm function is e.

4 0

3 years ago

In a pen of goats and chickens, there are 40 heads. and 130 feet How many goats and chickens are there?

timama [110]

Answer:

25 goat and 15 chicken

Step-by-step explanation:

Say the number of goats is G, then the number of chickens is 40 - G as there are 40 heads and each chicken and each goat has one head.

The number of feet is 130

So 2(40 - G) + 4G = 130

So 80 - 2G + 4G = 130

2G = 50

G = 25

25 goats and 15 chickens

8 0

3 years ago

If u is a unit vector, find u · v and u · w. (assume v and w are also unit vectors.) equilateral triangle

serg [7]

solution:

we know that ,

u.v = ΙuΙ ΙvΙcosθ

here,

θ =60° (since the given triangle is equilateral triangle)

u.v = ΙuΙ ΙvΙcos60°

= 1 x 1 x 1/2

u.v = 1/2

now, u.w = ΙuΙ ΙwΙcosθ

= ΙuΙ x cos(60x2)

u.w = -1/2

5 0

4 years ago