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2 years ago

I need help with questions 3 and 4

Mathematics

1 answer:

nlexa [21]2 years ago

6 0

Step-by-step explanation:

$7billion = 5 {e}^{15r} \\ 1.4billion = {e}^{15r} \\ ln(1.4 \: billion) = 15r \\ 21.0597 = 15r \\ r = 1.404$

$4) \\ t = 0 \: y= 200 \\200 = a {e}^{0} \\ a = 200 \\ 800 = 200 {e}^{8k} \\ 4 = {e}^{8k} \\ ln(4) = 8k \\ k = 0.1733$

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Suppose that the augmented matrix for a linear system has been reduced by row operations to the given row echelon form. Solve th

erastovalidia [21]

Answer:

a) x = -37 , y = -8, z = 5.

b) w = 13z-10, x = 13z-5, y= 2-z, z = free parameter.

c) v = 2z-7w-11, w = free parameter, x = -3z-4, y = 9-3z, z = free parameter

d) No solution

Step-by-step explanation:

a) $\left[\begin{array}{cccc}1&-3&4&7\\0&1&2&2\\0&0&1&5\end{array}\right]$

The following set of equations are:

z = 5

y+2z=2

x-3y+4z=7

Solving above equations:

y = -8, x = 7-4(5)+3(-8) = -37

b) $\left[\begin{array}{ccccc}1&0&8&-5&6\\0&1&4&-9&3\\0&0&1&1&2\end{array}\right]$

The following set of equations are:

y+z = 2

x+4y-9z=3

w+8y-5z=6

Solving above equations:

z = free parameter - No. of columns > No. of rows; hence, multiple solutions.

y = 2-z, x = 3+9z-4(2-z) = -5+13z, w = 6+5z-8(2-z) = 13z-10

c) $\left[\begin{array}{cccccc}1&7&-2&0&-8&-3\\0&0&1&1&6&5\\0&0&0&1&3&9\end{array}\right]$

The following set of equations are:

y + 3z = 9

x + y + 6z = 5

v + 7w -2x -8z = -3

Solving above equations:

z & w = free parameter - No. of columns > No. of rows; hence, multiple solutions.

y = 9-3z, x = -3z-4, v = -11+2z-7w

d) $\left[\begin{array}{cccc}1&-3&7&1\\0&1&4&0\\0&0&0&1\end{array}\right]$

The following set of equations are:

0 = 1

y + 4z = 0

x-3y+7z = 1

Solving above equations:

No Solution as the first equation is inconsistent

5 0

3 years ago

Somebody help it’s a test I don’t wanna fail sad face

stiv31 [10]

Answer: 1/3

Explanation: because I'm right

8 0

3 years ago

Manuela planted 5 patches of beans

Maurinko [17]

135 because 5*27=135

6 0

4 years ago

The swimming pool and the floor of your gym are similar in size. The pool is 75 feet long by 60 feet wide. What are possible dim

ki77a [65]

From the facts given, the swimming pool and the floor of the gym has the same in size. The pool has a dimension of 75 ft by 60 ft. Basically, the possible size of the gym floor is also 75 ft by 60 ft.

8 0

3 years ago

MAX 100 POINTS / HELP ASAP THIS IS VERY IMPORTANT FOR MY GRADE / WILL MARK BRAINLIEST IF RIGHT.---------------------------------

AlekseyPX

Answer:

Polynomial 1:

Simplified Form: 6x^2 - x - 1
Name by Number of Terms: trinomial

Polynomial 2:

Name by Degree: linear
Name by Number of Terms: binomial

Polynomial 3:

Simplified Form: 2
Name by Degree: constant

Step-by-step explanation:

Polynomial 1:

(x-1/2)(6x+2)

6x^2 - 3x + 2x - 1

6x^2 - x - 1

It has 3 terms, so it's a trinomial.

Polynomial 2:

There is one term with x and x is raised to the first degree, so it's linear.

There are 2 terms, so it's a binomial.

Polynomial 3:

4(5x^2-9x+7)+2(-10x^2+18x-13)

20x^2 - 36x + 28 -20x^2 + 36x - 26

28 - 26

Since there are no variables and the answer is just 2, it's a constant.

4 0

3 years ago