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DanielleElmas [232]
2 years ago
15

How to solve Ln x = 0.25x

Mathematics
1 answer:
kirza4 [7]2 years ago
6 0
Let's solve your equation step-by-step.
x
=
0.25
x
Step 1: Subtract 0.25x from both sides.
x
−
0.25
x
=
0.25
x
−
0.25
x
0.75
x
=
0
Step 2: Divide both sides by 0.75.
0.75
x
0.75
=
0
0.75
x
=
0
Answer:
x
=
0
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The number of employees per department are normally distributed with a population standard deviation of 198 employees and an unk
cricket20 [7]

Answer:

EBM = +-54.126

Step-by-step explanation:

In this question we have confidence interval to be 80%

The formula to solve this is in the attachment.

Bar X = 1460

Z-alpha/2 = 1.282

Sd = standard deviation = 198 employees

n = 22 departments

After we have inserted all values in to the formula we have:

1460 +-(1.282*198/√22)

= 1460+-(54.12604)

= (1405.87, 1514.126)

The error bounded mean EBM

= +-z-alpha/2 x (sd/√n)

= 1.282 x 198/√22

= 1.282 x 42.22

EBM = +-54.126

6 0
2 years ago
Express the quotient of z1 and z2 in standard form given that <img src="https://tex.z-dn.net/?f=z_%7B1%7D%20%3D%20-3%5Bcos%28%5C
Lesechka [4]

Answer:

Solution : -\frac{3}{4}-\frac{3}{4}i

Step-by-step explanation:

-3\left[\cos \left(\frac{-\pi }{4}\right)+i\sin \left(\frac{-\pi \:}{4}\right)\right]\:\div \:2\sqrt{2}\left[\cos \left(\frac{-\pi \:\:}{2}\right)+i\sin \left(\frac{-\pi \:\:\:}{2}\right)\right]

Let's apply trivial identities here. We know that cos(-π / 4) = √2 / 2, sin(-π / 4) = - √2 / 2, cos(-π / 2) = 0, sin(-π / 2) = - 1. Let's substitute those values,

\frac{-3\left(\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}i\right)}{2\sqrt{2}\left(0-1\right)i}

=-3\left(\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}i\right) ÷ 2\sqrt{2}\left(0-1\right)i

= 3\left(-\frac{\sqrt{2}i}{2}+\frac{\sqrt{2}}{2}\right) ÷ -2\sqrt{2}i

= \frac{3\left(1-i\right)}{\sqrt{2}}÷ 2\sqrt{2}i = -3-3i ÷ 4 = -\frac{3}{4}-\frac{3}{4}i

As you can see your solution is the last option.

3 0
3 years ago
Factor:<br><br><br>(m+2)^2−(m+2)+mn·(n+2)+2n(n+2)
bazaltina [42]
ANSWER
{(m + 2)}( {n}^{2} + 2n + m + 1)

EXPLANATION

The given expression is

{(m + 2)}^{2} - (m + 2) + mn(n + 2) + 2n(n + 2)

We factor to get,

= {(m + 2)}(m + 2 - 1) +n (n + 2) (m+ 2)

This implies that,

= {(m + 2)}(m + 1) +n (n + 2) (m+ 2)

We factor further to obtain,

= {(m + 2)}((m + 1) +n (n + 2))

or

= {(m + 2)}( {n}^{2} + 2n + m + 1)
5 0
3 years ago
The radius of a circular park is 114 yd. To the nearest yard, what is the circumference of the park?
adell [148]

circumference = 2 x pi x r

using 3.14 for pi

2 x3.14x114=715.92

 round to 716 yards

6 0
3 years ago
Read 2 more answers
Someone please i need help on my geometry homework !!!!
saveliy_v [14]

Answer:

x= 9

Step-by-step explanation:

13x+2+3x-4+5x-7=180

21x-9=180

21x=189

x=9

3 0
2 years ago
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