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2 years ago

What is the solution of -6 + a = 22? A 28 B. -28 0 C. 16 D. -16

Mathematics

1 answer:

KatRina [158]2 years ago

6 0

Answer:

A.28

Step-by-step explanation:

Substitute a with 28 so:

-6+28=22

Then simplify the equation:

22=22

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Juan earns $18 per hour. He receives time and a half for overtime. Last week he worked 50 hours. What was Juan’s gross pay last

larisa [96]

Answer:

$900

Step-by-step explanation:

18 x 50 = 900

69.25 i belive for taxes

3 0

2 years ago

A company fabricates cast concrete cylindrical columns for a new pavilion.The columns are 3 meters tall and have a radius of 0.6

Ainat [17]

Answer:

The answer is 13.57m^2

Step-by-step explanation:

On Edmentum I got it right.

8 0

1 year ago

Let f(x) = -5e^(-x/3)<br><br> Find f^(6) (1)

Luba_88 [7]

Let's take the first derivative:

$f'(x) = (-5e^{-x/3})' = -5 \times (e^{-x/3})' = -5e^{-x/3} \times \left(-\dfrac{1}{3}\right) = \dfrac{5}{3}e^{-x/3}.$

Notice that we can write this as:

$f'(x) = -\dfrac{f(x)}{3}.$

By taking the derivative of both sides $n$ times, we get:

$f^{(n+1)}(x) = -\dfrac{f^{(n)}}{3}.$

This means that each time you take a derivative, a factor of $-\dfrac{1}{3}$ will appear. So we conclude that:

$f^{(n)}(x) = \left(-\dfrac{1}{3}\right)^nf(x).$

Taking $n=6$ and $x=1$ , we get:

$f^{(6)}(1) = \left(-\dfrac{1}{3}\right)^6 f(1) = \dfrac{-5e^{-1/3}}{729} = -\dfrac{5}{729}e^{-1/3}.$

So we finally get:

$\boxed{-\dfrac{5}{729}e^{-1/3}}.$

6 0

2 years ago

Cruz's Frame shop makes. a mat by cutting out the inside of a rectangular mat board. Find the length and width of the original m

max2010maxim [7]

Answer:

length = 23 inches; width = 18 inches.

Step-by-step explanation:

Length and width are found from their expressions after solving for x. The value of x can be found from ...

... overall area - cutout area = 148 . . . . . . square inches

... (2x -1)(x +6) - (2x -5)(x +2) = 148 . . . . . substitute length and width expressions. Each area is the product of length and width.

... 2x² +11x -6 -(2x² -x -10) = 148 . . . . . . . multiply binomials

... 12x +4 = 148 . . . . collect terms

... 12x = 144 . . . . . . . subtract 4

... x = 12 . . . . . . . . . . divide by 12

Then the overall length is ...

... 2x -1 = 2·12 -1 = 23 . . . inches

and the overall width is ...

... x +6 = 12 +6 = 18 . . . inches

The overall dimensions of the original mat are 23 inches by 18 inches.

4 0

2 years ago

Express the situation as a system of two equations in two variables. Be sure to state clearly the meaning of your x- and y-varia

expeople1 [14]

Answer:

9 TV ads and 20 radio ads

Step-by-step explanation:

He has $37,000 to spend. He has to sum that amount of money between the TV and radio ads. Each TV ad costs $3000 while each radio ad costs $500, so the equation that represents that is 37000 = 3000x + 500y

The same happens with the amount of voters he needs to reach, the equation is 130000 = 10000x + 2000y

The system that represents this is

$\left \{ {{3000x+500y=37000} \atop {10000x+2000y=130000}} \right.$

And the augmented matrix is

$\left[\begin{array}{cc|c}3000&500&37000\\10000&2000&130000\end{array}\right]$

First we divide the first row by 3000 and the second by 10000:

$\left[\begin{array}{cc|c}1&1/6&37/3\\1&1/5&13\end{array}\right]$

Then we multiply the second row by (-1) and we add the first row:

$\left[\begin{array}{cc|c}1&1/6&37/3\\0&-1/30&-2/3\end{array}\right]$

Now we multiply the second row by -30:

$\left[\begin{array}{cc|c}1&1/6&37/3\\0&1&20\end{array}\right]$

Finally, to the first row we add the second one multiply by (-1/6):

$\left[\begin{array}{cc|c}1&0&9\\0&1&20\end{array}\right]$

So, x = 9 and y = 20

That means 9 TV and 20 radio ads will contact 130,000 voters using the allocated funds

3 0

2 years ago