Explain clearly please question (a)

Step-by-step explanation:

(x-2)³ = (x-2) × (x-2) × (x-2)

(x-2) × (x-2) = x²-2x-2x + 4 = x² -4x + 4

(x² -4x + 4) (x-2) = x³ -2x² -4x² +8x +4x -8

x³ -6x² +12x - 8

Answer:

There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form. We review all three in this article. There are three main forms of linear equations.

Step-by-step explanation:

The perimeter of the rectangle is 70 Inches square

The formula for perimeter of a rectangle is given as;

Perimeter = 2 ( l + w)

length = 20 inches

width = 15 inches

Perimeter = 2 ( 20 + 15 )

Perimeter = 2 ( 35)

Perimeter = 70 Inches square

Thus, the perimeter of the rectangle is 70 Inches square

Note that it is a general knowledge on the given question.

Learn more about perimeter of a rectangle here:

https://brainly.com/question/17297081

#SPJ1

Answer:

x = 10

Step-by-step explanation:

Given the 2 equations

12x - 6y = 60

24x + 6y = 300

Adding the 2 equations term by term will eliminate the y- term, that is

36x + 0 = 360

36x = 360 ( divide both sides by 36 )

x = 10

Answer:

110

Step-by-step explanation:

Answer:

\(\frac{7}{4}\)

Step-by-step explanation:

we express the result in base $b$:  $b^5 - 2b^4 + 3b^3 - 2b^2 + 2b^1 + b^0$ (written in base $b$)

To find the result when the base-$b$ number $11011_b$ is multiplied by $b-1$ and then $1001_b$ is added, we can follow these steps:

Step 1: Multiply $11011_b$ by $b-1$.
Step 2: Add $1001_b$ to the result from step 1.
Step 3: Express the final result in base $b$.

To perform the multiplication, we can expand $11011_b$ as $1 \cdot b^4 + 1 \cdot b^3 + 0 \cdot b^2 + 1 \cdot b^1 + 1 \cdot b^0$.

Now, we can distribute $b-1$ to each term:

$(1 \cdot b^4 + 1 \cdot b^3 + 0 \cdot b^2 + 1 \cdot b^1 + 1 \cdot b^0) \cdot (b-1)$

Expanding this expression, we get:

$(b^4 - b^3 + b^2 - b^1 + b^0) \cdot (b-1)$

Simplifying further, we get:

$b^5 - b^4 + b^3 - b^2 + b^1 - b^4 + b^3 - b^2 + b^1 - b^0$

Combining like terms, we have:

$b^5 - 2b^4 + 2b^3 - 2b^2 + 2b^1 - b^0$

Now, we can add $1001_b$ to this result:

$(b^5 - 2b^4 + 2b^3 - 2b^2 + 2b^1 - b^0) + (1 \cdot b^3 + 0 \cdot b^2 + 0 \cdot b^1 + 1 \cdot b^0)$

Simplifying further, we get:

$b^5 - 2b^4 + 3b^3 - 2b^2 + 2b^1 + b^0$

Finally, we express the result in base $b$:

$b^5 - 2b^4 + 3b^3 - 2b^2 + 2b^1 + b^0$ (written in base $b$)

Know more about base-$b$ here:

https://brainly.com/question/31939284

#SPJ11

Answer:

y = 5x - 3, so M = 5 and C = -3.

Answer:

she read 25 pages in 60 minutes

Step-by-step explanation:

Answer:

G = (y-x)/2

Step-by-step explanation:

Here, we want to find the value of the angle marked G

To do this, we are going to use one of the important circle angle-arc relationships

Thus, we have it that;

G = 1/2 (mFE - mJH)

G = 1/2 (y-x)

Which is simply

G = (y-x)/2

Let's try to understand how we can solve this equation

Given equation,4f+2=6f-12

Now we will take the terms on one side and constants on the other.

=> 2+12=6f-4f

=> 14=2f

=>7=f

So, the value of f would be 7. Remember that while bringing value to another side, the sign of that value changes. If it is a positive sign then it is going to be transformed into a negative one and vice versa.

Answer:

Where is that question you're talking about please

Answer:

Its nonlinear

aka answer C

Step-by-step explanation:

Answer:

b. \(6\sqrt{3}\)

Step-by-step explanation:

\(\frac{6}{x} =\frac{x}{18}\)

\(x^{2} =\)\((6)(18)=108\)

\(x=\sqrt{108} =\sqrt{(36)(3)} =6\sqrt{3}\)

Hope this helps

The length of x, the altitude of triangle ABC  is \(6\sqrt3\)

From the given figure, we have the following equivalent ratio:

6 : x =x: 18

Express as fraction

6/x = x/18

Cross multiply

\(x^2 = 6 * 18\)

Evaluate the product

\(x^2 = 108\)

Take the square root of both sides

\(x = 6\sqrt3\)

Hence, the length of x, the altitude of ABC  is \(6\sqrt3\)

Read more about right triangles at:

https://brainly.com/question/2437195

#SPJ2

The shortest route from Ellport to Union Falls using road is 18 miles

An equation is an expression that shows the relationship between numbers and variables.

Pythagoras theorem is used to determine the measure of the sides of a right angled triangle. It is given by:

(hypotenuse side)² = (adjacent side)² + (opposite side)²

The distance from Larksville to Smithfield = 9 + 9 + 6 = 24 miles

The distance from Larksville to Union Falls = 19.5 + 6.5 = 26 miles

Let x represent the distance from Smithfield to Union falls, using Pythaoras:

26² = 24² + x²

x² = 100

x =  10 miles

the distance from Smithfield to Union falls is 10 miles.

Let y be the shortest route from Ellport to Union Falls, using Pythagoras:

y² = 10² + (9 + 6)²

y² = 10² + 15²

y² = 325

y = 18 miles

The distance from Ellport to Union Falls is 18 miles

Find out more on equations at: https://brainly.com/question/2972832

#SPJ1

Answer:

x=3 y=3

Step-by-step explanation:

both lines will be parallal

0

,

0

)

m

=

3

Using the point-slope form  

y

−

y

1

=

m

(

x

−

x

1

)

, plug in  

m

=

3

,  

x

1

=

0

, and  

y

1

=

0

.

y

−

(

0

)

=

(

3

)

(

x

−

(

0

)

)

Answer:

m<B = 63.4°

Step-by-step explanation:

tangent = opposite ÷ adjacent

tan B = \(\frac{4}{2}\)

tan B = 2

B = tan⁻¹ (2)

B = 63.4°

Hope this helps.

Answer:

\(3(n + 5) \geqslant 3n + 8 \\ 3n + 3 \times5 \geqslant 3n + 8 \\ 3n + 15 \geqslant 3n + 8 \\ 3n - 3n \geqslant 8 - 15 \\ 0n \geqslant - 7 \\ no \: solution \\ thank \: you\)

Answer:

\(7 \geqslant 0 \: \: \: \: or \: \: \: \: 0 \leqslant 7 \\ \)

Step-by-step explanation:

\(3(n + 5) \geqslant 3n + 8 \\ 3n + 15 \geqslant 3n + 8 \\15 - 8 \geqslant 3n - 3n \\ 7 \geqslant0 \\ \)

Answer:

I think D but im bad at 5hat stuff

Step-by-step explanation:

Answer: y=-1x-8

Step-by-step explanation:

The first step is to: Move the 'X' to the right side of the equation.

The second step is to: Divide the 'Y'

But since the 'X' is already on the right side you will just divide the 'Y'. If the 'X' was on the left then you will follow those steps that I gave you at the beginning in order to get it in the y=mx+b.  

So it will look like this:

2y=-1x-8

y=-1x-8

y= -1(is the slope)x-8(is the Y-intercept)

So, if you have to graph this you will graph it starting with negative 8 as the y-intercept. Then you will go down one and over 1.

Answer:

Well the real answer is 1st 2nd and 5th

Step-by-step explanation:

Just took the quiz

The value of  zα for the following is :

(a)  α = 0.0089 is 2.37

(b) α = 0.09 is 1.34

(c)  α = 0.707 is -0.545

zα is the inverse function of the standard normal CDF.

(a) Central limit c= 1-α

for α = 0.0089 , c=1-0.0089

∴ c=0.9911

Hence confidence level in percentage= 99.5%

Now,  the value of zα will be calculated with the help of an excel sheet function normsinv(c).

∴zα = normsinv(c)

where c is central limit

zα = normsinv(0.9911)

zα =2.37

(b) Central limit c= 1-α

for α = 0.09 , c=1-0.09

∴ c=0.91

Hence confidence level in percentage= 91%

Now,  the value of zα will be calculated with the help of an excel sheet function normsinv(c).

∴zα = normsinv(c)

where c is central limit

zα = normsinv(0.91)

zα=1.34

(c) Central limit c= 1-α

for α = 0.707 , c=1-0.707

∴ c=0.293

Hence confidence level in percentage= 29.3%

Now,  the value of zα will be calculated with the help of an excel sheet function normsinv(c).

∴zα = normsinv(c)

where c is central limit

zα = normsinv(0.707)

zα= -0.545

Therefore zα value for 0.0089 is 2.37, for 0.09 is 1.34 and for 0.707 it is -0.545.

To know more about zα visit:

https://brainly.com/question/14936604

#SPJ4

Answer:

y=(-1/4)x+(-6)

Step-by-step explanation:

Looking at the graph the y-intercept is at -6 and the line appears to go down as x increases by -1/4 where -rise/run.

Answer:

acute triangle

Step-by-step explanation:

acute triangle is degree is 0to 90 degree

Answer:

x=−2 in the formula for F(x) . Therefore, F(−2)=3(−2)2+1=3(4)+1=13 .

Answer:

\(\cfrac{q^2+2q+3}{(q+1)(q+2)(q+3)}\)

---------------------

First, factorize the denominators.

1)

2)

The common factor of both denominators is q + 2, so the common denominator is:

Now, multiply the fractions by the missing factors and evaluate:

Answer:

433345344 Answer

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

The final had an extra credit as 25, so without it it would be 135. Then, you would divide by three to find that the first test had 45 points.

Answer:

45

Step-by-step explanation:

The final had an extra credit as 25, so without it it would be 135. Then, you would divide by three to find that the first test had 45 points.

The simple interest for a deposit of $ 5,000 at 3 % rate of interest for 1 year would be $ 150

What is Simple Interest?

Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Given data ,

Let the simple interest be represented as S

Now , the value of S is

The principal amount = $ 5,000

The rate of interest R = 3 %

The time period T = 1 year

So , the Simple Interest is given by the equation

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Substituting the values in the equation , we get

Simple Interest S = ( 5000 x 3 x 1 ) / 100

On simplifying the equation , we get

Simple Interest S = 150000 / 100

Simple Interest S = $ 150

Therefore , the value of S is $ 150

Hence , the simple interest for the deposit is $ 150

To learn more about simple interest click :

https://brainly.com/question/17282817

#SPJ2

The best point estimate for the population's variance is equal to the sample variance.

The best point estimate for the population's variance is obtained from the sample variance. In statistics, the sample variance is often used as an unbiased estimator of the population variance.

When calculating the sample variance, we use the formula that involves summing the squared differences between each data point and the sample mean, dividing it by the sample size minus 1. This provides an estimate of the variability within the sample.

Since the sample variance is computed from the available data, it serves as the most appropriate point estimate for the population's variance. Therefore, in this case, the sample variance of 25.6 is considered the best estimate for the population's variance, rounded to one decimal place.

Therefore, the best point estimate for the population's variance in this case is 25.6 (rounded to one decimal place).

To know more about variance refer here:

https://brainly.com/question/31432390

#SPJ11