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3 years ago

Solve the given formula for the indicated variable: z = xy + 2ab for a.

Mathematics

1 answer:

zmey [24]3 years ago

6 0

Answer:

If we solve for a

2ab=z–xy

a = z–xy/(2b)

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3x-2y-7x+y can you explain how to do this please

konstantin123 [22]

3x - 2y - 7x + y

Rearrange the terms

3x - 7x - 2y + y

Add like terms

-4x - y

8 0

4 years ago

Find the balance in the account after the given period.

leva [86]

Substituting our values into the formula we get
$A=4200(1+ \frac{0.042}{12})^1^2^*^2
\\ = 4200(1+0.0035)^2^4
\\ = 4200(1.0035)^2^4
\\ = 4567.37$

7 0

3 years ago

How many subsets of the set of divisors of 72 contain only composite numbers? For example, {8,9} and {4,8,12}$ are two such sets

kykrilka [37]

Answer:

257

Step-by-step explanation:

The divisors of 72 which are composite number are

4,6,8,9,12,18,36,72 (composite numbers are those numbers which are formed by the multiplication of two whole numbers}

So the total number of divisors which are composite are = 8

So total number of subset $=2^n=2^8=256$

In question it is said that also include empty set in count

So total number of subset =256+1=257

7 0

4 years ago

Solve the formula for the indicated variable.

kolbaska11 [484]

Answer: b = p - a -c

Step-by-step explanation:

p= a + b + c Solving for b means getting b on one side by itself.

p = a + b + c To solve for b first subtract a from both sides to get,

-b -b

p - a = b + c Now subtract c from both sides to get

-c -c

p - a - c = b

b = p - a -c

3 0

4 years ago

Read 2 more answers

Solve the equation in the interval 0 to 2pi.

galben [10]

Answer:

You don't need to single out $\cos \theta$ to solve this question.

To solve:

$\begin{aligned}3 \cos 4 \theta & = -2\\\\\cos 4 \theta & = -\dfrac{2}{3}\\\\4 \theta & = \cos^{-1}\left( -\dfrac{2}{3\right)}\\\\\implies 4 \theta & =2.30053... \pm 2 \pi n, -2.30053...\pm 2 \pi n\\\\\theta & =\dfrac{2.30053...}{4} \pm \dfrac{\pi n}{2}, -\dfrac{2.30053...}{4}\pm \dfrac{\pi n}{2}\end{aligned}$

So for the given interval $0\leq \theta \leq 2 \pi$

$\implies \theta =0.575, 2.146, 3.717, 5.288, 0.996, 2.566, 4.137, 5.708\:\:(\sf 3 \: d.p.)$

(As confirmed by the attached graph)

5 0

2 years ago

Read 2 more answers