MATHEMATICS HIGH SCHOOL

Four points, A(0, 0), B(1, 2), C(3, 1), and D(2,-1) lie in a plane. Line AD and Line BC are BEST described as ??A) skew.


B) parallel.


C) vertical.


D) concurrent.

Answers

Answer 1
Answer: They are best described as parallel because if you connect points AD and then connect points BC, you will get 2 lines that are parallel to each other.

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Determine the monthly payment of a loan for $3,000 at 7.5% interest compounded monthly for 36 months.a.
$93.32
b.
$95.40
c.
$211.33
d.
$253.60

Answers

Answer:

The monthly payment is $93.32 ⇒ answer a

Step-by-step explanation:

* Lets explain how to solve the problem

- The monthly payment is (P(r))/(1-(1+r)^(-n) )

  where:

# P is the loan amount

# r is the rate per period in decimal

# n is the number of periods

- The loan is $3000

- We need to find the monthly payment

∴ P = $3000

- The compound monthly interest is 7.5% for 36 months

∵ The period is 12 (1 year = 12 months)

- Divide the rate as a decimal by 12

∴ r=(7.5)/(100(12))=0.00625

∴ r = 0.00625

∴ n = 36

* Lets calculate the monthly payment using the rule above

∵ Monthly payment = ((3000)(0.00625))/(1-(1+0.00625)^(-36))=93.32

∴ The monthly payment is $93.32

Answer:

$93.32

Step-by-step explanation:

e^(2x) = ln 5 (solve with explanation)

Answers

e ^(2x) = ln5

Solve for the real domain

e ^(2x) = ln(5)

if f(x) =g(x), then ln(f(x))= ln(g(x))

ln(e ^(2x) ) = ln(ln(5))

Solve : ln(e ^(2x) ) = ln(ln(5))

use the logarithmic definition :

ln(e^(f(x)) ) = f(x)

ln(e^(2x) ) = 2x

2x=ln(ln(5))

Divide both sides by 2 :

(2x)/(2) = (ln(ln(5)))/(2)

x= (ln(ln(5)))/(2)

hope this helps!

The process of correcting data to reduce them to the sample scale by subtracting the sample mean and dividing by the standard deviation- Options Generalization Scale transformation Standardization Variable re – specification

Answers

Standardization 

Or to produce the one of the statistical concepts, the z-score. The z-score is yielded when the sample mean deducts the observed sample score and is divided by the standard deviation. This is used to standardize the scale into numbers from or before 0. 

A lab technician mixed a 530 ml solution of water and alcohol. If 3% of the solution is alcohol, how many milliliters of alcohol were used and how many milliliters of water were used?

Answers

Given:
530 ml solution of water and alcohol.

3% of the solution is alcohol.

530 ml * 3% = 15.9 ml of alcohol was used.

530 ml - 15.9 ml = 514.10 ml of water was used.
or 
530 m * 97% = 514.10 ml of water.

What is the root of the polynomial equation x(x-2)(x+3)=18 ? Use a graphing calculator and a system of equations.–3
0
2

Answers

Answer:

3 is the root of the equation.

Step-by-step explanation:

We have to find the root of the polynomial equation x(x-2)(x+3)=18.

We can find the same by using a graphing utility and the system of equations.

We can make two equations which are given by

y=x(x-2)(x+3)....................(1)\n\ny=18

Now, we plot the graph of these equations and the x-coordinate of the intersection point will be the root of the equation.

the graph has been shown in the attached file.

The intersection point is (3, 18) and the x-coordinate is 3.

Therefore,  3 is the root of the equation.

It has four choses and you didn't show the right one, answer is 3.

3(3-2)(3+3)=18

3(1)(6)=18

3*6=18

Solve the inequality 12x < 22 + x.x < 1/2
x > 1/2
x < 2
x > 2

Answers

The answer is x<2 
I hope i helped!! c;

Answer:

x < 2

Step-by-step explanation:

12x < 22 + x

First, get the constant and variable on separate sides by subtracting x.

12x - x < 22 + x - x

This will result in:

11x < 22

Finally, multiply both sides by 1/11,

this will result in 1 < 2, which should be written as:

x < 2
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