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3 years ago

Complete the third step to solve the equation.

Mathematics

2 answers:

Klio2033 [76]3 years ago

6 0

Answer:

x= 1/8 or 0.125

Step-by-step explanation:

8x=1

x=1/8

GarryVolchara [31]3 years ago

5 0

Answer:

1/8 is the answer

Step-by-step explanation:

welcome have a good day

You might be interested in

Suppose that X is a random variable with mean 30 and standard deviation 4. Also suppose that Y is a random variable with mean 50

Vladimir79 [104]

Answer:

a) Var[z] = 1600

D[z] = 40

b) Var[z] = 2304

D[z] = 48

c) Var[z] = 80

D[z] = 8.94

d) Var[z] = 80

D[z] = 8.94

e) Var[z] = 320

D[z] = 17.88

Step-by-step explanation:

In general

V([x+y] = V[x] + V[y] +2Cov[xy]

how in this problem Cov[XY] = 0, then

V[x+y] = V[x] + V[y]

Also we must use this properti of the variance

V[ax+b] = $a^{2}$ V[x]

and remember that

standard desviation = $\sqrt{Var[x]}$

a) z = 35-10x

Var[z] = $10^{2}$ Var[x] = 100*16 = 1600

D[z] = $\sqrt{1600}$ = 40

b) z = 12x -5

Var[z] = $12^{2}$ Var[x] = 144*16 = 2304

D[z] = $\sqrt{2304}$ = 48

c) z = x + y

Var[z] = Var[x+y] = Var[x] + Var[y] = 16 + 64 = 80

D[z] = $\sqrt{80}$ = 8.94

d) z = x - y

Var[z] = Var[x-y] = Var[x] + Var[y] = 16 + 64 = 80

D[z] = $\sqrt{80}$ = 8.94

e) z = -2x + 2y

Var[z] = 4Var[x] + 4Var[y] = 4*16 + 4*64 = 320

D[z] = $\sqrt{320}$ = 17.88

7 0

3 years ago

12. (07.06 LC) A library building is in the shape of a rectangle. Its floor has a length of (3x + 5) meters and a width of (5x −

Goshia [24]

ANSWER

$15 {x}^{2} + 22x - 5$

EXPLANATION

It was given that, the length of the rectangular building is

$(3x + 5) \: meters$

and the width of the is

$(5x - 1) \: meters$

The area of a rectangular building is calculated using the formula for finding the area of a rectangle.

$A = l \times w$

Since the dimensions are given in terms of x, the area is also a function of x,

$A(x) = (3x +5 )(5x - 1)$

We expand to get,

$A(x) = 3x(5x - 1) + 5(5x - 1)$

$A(x) = 15 {x}^{2} - 3x + 25x - 5$

$A(x) = 15 {x}^{2} + 22x - 5$

meters square

8 0

4 years ago

Which statement is true? Select all that apply.

GarryVolchara [31]

Answer:

A. The relationship is proportional.

C. The slope is negative.

✓ A. The relationship is proportional.

-> We have a one to one proportion because the relationship is linear

✗ B. The slope is –6.

-> The slope is -3/2, not -3

-> We can pick a point, and then we count down 3 and over 2 to the next point

✓ C. The slope is negative.

-> Because the line is going from top left to bottom right the line is negative

✗ D. The y-intercept is –3.

-> The slope is -3/2, not -3

-> We can pick a point, and then we count down 3 and over 2 to the next point

✗ E. The equation of the line is y = –3x.

-> Again, the slope should be -3/2, not -3

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

3 0

3 years ago

2 + 1/6a = -4 what is a

horsena [70]

Answer:

I found that it was -1, but everything online is telling me -36.

6 0

3 years ago

What is the rectangular form of z= 40(cos(7pi/6)+ i sin(7pi/6))

Anastaziya [24]

Answer:

C. $z = -20\sqrt{3}-i\,20$

Step-by-step explanation:

The rectangular form of a complex number is represented by the following formula:

$z = a+i\,b$ (1)

Where each coefficient can be determined as function of the polar components:

$a = r\cdot \cos \theta$ (2)

$b = r\cdot \sin \theta$ (3)

Where:

$r$ - Magnitude of the complex number, dimensionless.

$\theta$ - Direction of the complex number, measured in radians.

If we know that $r = 40$ and $\theta = \frac{7\pi}{6}$ , then the rectangular form of the number is:

$a = 40\cdot \cos \frac{7\pi}{6}$

$a = -20\sqrt{3}$

$b = 40\cdot \sin \frac{7\pi}{6}$

$b = -20$

The rectangular form of $z=40\cdot\left(\cos \frac{7\pi}{6}+i\,\sin \frac{7\pi}{6}\right)$ is $z = -20\sqrt{3}-i\,20$ . The correct answer is C.

4 0

3 years ago