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horrorfan [7]
3 years ago
6

Solve the equation for a.

Mathematics
2 answers:
Alexandra [31]3 years ago
8 0

Answer:

first one

Step-by-step explanation:

Pavel [41]3 years ago
6 0

Answer:

\large\boxed{a=\dfrac{K}{4+9b}}

Step-by-step explanation:

K=4a+9ab\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\K=a(4+9b)\qquad\text{divide both sides by}\ (4+9b)\neq0\\\\\dfrac{K}{(4+9b)}=\dfrac{a(4+9b)}{(4+9b)}\\\\\dfrac{K}{4+9b}=a

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Identify which of these designs is most appropriate for the given​ experiment: completely randomized​ design, randomized block​d
sasho [114]

Answer:

Matched pairs design

Step-by-step explanation:

Looking at the options;

-It's not a completely randomized design because a randomized design will assign all individuals to a group which in this case it doesn't.

- It's not a randomized block design because randomized block design will group the subjects in question into 2 or more blocks which have a common characteristic and will then randomly assign subjects in each of the blocks.

-It's a matched pair because every individual/subject undergoes measurements both before and after being treated with the drugs.

Thus, the correct option is matched pairs design.

7 0
3 years ago
Select the correct answer. Which matrix represents this system of equations? -2y + 7z = 10 9x + 5y = 1 2x + z = -5
Stells [14]

Answer:

In matrix form this can be represented as

\left[\begin{array}{ccc}0&-2&7\\0&5&0\\2&0&1\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}10\\1\\5\end{array}\right]



Step-by-step explanation:

The given equations are

-2y + 7z = 10

9x + 5y = 1

2x + z = -5

Which can be written as

0x+-2y + 7z = 10

9x + 5y+0z = 1

2x +0y+ z = -5

In matrix form this can be represented as

\left[\begin{array}{ccc}0&-2&7\\0&5&0\\2&0&1\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}10\\1\\5\end{array}\right]



When we multiply the above matrices we get the given set of equations.

In multiplying the matrices we check the no of columns of the first matrix and the number of rows of the second matrix. If they are equal ( as in this case they are 3) then the matrices can be multiplied .

The answer has the number of rows equal to the number of rows of the first matrix and the number of columns equal to the number of columns of the second matrix which is true in this case.

4 0
3 years ago
4. The perimeter of a triangle is 105 inches. The longest side is 22 inches longer than the shortest side. The sum of the
Cloud [144]

Answer:

x = 45

y = 37

z = 23

Step-by-step explanation:

x + y + z = 105

x = z + 22

x + 15 = y + z

(z + 22) + 15 = y + z

              37 = y

           x + y + z = 105

(z + 22) + 37 + z = 105

                     2z = 46

                       z = 23

    x + y + z = 105

x + 37 + 23 = 105

               x = 45

3 0
3 years ago
A and B are vertical angles. If m_A = (3x - 30)° and m
Vilka [71]
<h3>Answer:  21</h3>

==================================

Work Shown:

Vertical angles are always congruent.

This means they are equal in measure.

A = B

3x-30 = 2x-9

3x-2x = -9+30

x = 21

--------

Side note:

if x = 21, then,

A = 3*x-30 = 3*21-30 = 33 degrees

B = 2*x-9 = 2*21-9 = 33 degrees

4 0
3 years ago
Find the explicit formula for the geometric sequence on given below. Note that ci = 4.
den301095 [7]
They’d


























Yes








Shjad







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The
7 0
3 years ago
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