solve for x for this problem

Solve For X For This Problem

Answers

Answer 1

Answer:

x = 5 and 6

Step-by-step explanation:

1. Square both sides
x - 5 = (x - 5)(x - 5)
2. Simplify the right side
x - 5 = x^2 - 10x + 25
3. Add 5 to both sides
x = x^2 - 10x + 30
4. Subtract x from both sides
0 = x^2 - 11x + 30
5. Factor
0 = (x-5)(x-6)
x = 5,6

Answer 2

Answer:

x = 5 , x = 6

Step-by-step explanation:

[tex]\sqrt{x-5}[/tex] = x - 5 ( square both sides )

x - 5 = (x - 5)² ← expand using FOIL

x - 5 = x² - 10x + 25 ← subtract x - 5 from both sides

0 = x² - 11x + 30 ← in standard form

0 = (x - 5)(x - 6) ← in factored form

equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

x - 6 = 0 ⇒ x = 6

As a check

substitute these values into the equation and if both sides are equal then these values are the solutions.

x = 5

left side = [tex]\sqrt{5-5}[/tex] = [tex]\sqrt{0}[/tex] = 0

right side = 5 - 5 = 0

then x = 5 is a solution

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

x = 6

left side = [tex]\sqrt{6-5}[/tex] = [tex]\sqrt{1}[/tex] = 1

right side = 6 - 5 = 1

then x = 6 is a solution


Related Questions

Find the least number which when divided by 12, 18 and 20 leaves no reminder.​

Answers

Answer:

180

Step-by-step explanation:

Find the LCM of 12, 18, and 20

[tex]12 = 2 \times 2 \times 3[/tex]

[tex]18 = 2 \times 3 \times 3[/tex]

[tex]20 = 2 \times 2 \times 5[/tex]

LCM = 2 × 2 × 3 × 3 × 5 = 180

Which absolute value function, when graphed, will be wider than the graph of the parent function, f(x) = |x|?

f(x) = |x| + 3
f(x) = |x − 6|
f(x) = |x|
f(x) = 9|x|

Answers

The absolute value function that will be wider than the graph of the parent function, f(x) = |x| is (d) f(x) = 9|x|

How to determine the function?

The parent function is given as:

f(x) =|x|

A wider function would have the following equation

f(x) = k|x|

Where:

k > 0

From the list of options, we have:

f(x) = 9|x|

Hence, the absolute value function that will be wider than the graph of the parent function, f(x) = |x| is (d) f(x) = 9|x|

Read more about absolute value function at:

https://brainly.com/question/10538556

#SPJ1

Answer:

getting to the point , D.

Step-by-step explanation:

trust

Find the equation of the line with slope 43 and y-intercept (0,−3).

Answers

[tex]\triangleright[/tex]Hii! [tex]\triangleleft[/tex]

     _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

[tex]\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Answer}}}\circ\leftharpoonup[/tex] Equation: [tex]\bullet[/tex] y=43x-3 ✅

[tex]\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Explanation}}}\circ\leftharpoonup[/tex]

Do you need to know the equation of the line with a slope of -43 and a y-intercept of (0,-3)? No problem! Luckily, there's a formula to find it! (:

The Slope Intercept Formula

The slope intercept formula, [tex]\boldsymbol{y=mx+c}[/tex], comes in handy when we need to find the equation of a line!

In this formula,

"m" denotes the slope"c" denotes the y intercept

--                                        

This particular question provides us both "m" and "c."

m=43c=-3 (It's the second co-ordinate, the y co-ordinate, in the point "(0,-3)"

Stickin the values

[tex]\boldsymbol{y=43x+(-3)}[/tex]

Simplify!

[tex]\boldsymbol{y=43x-3}[/tex]

--

Hope that this helped! Best wishes.

[tex]\textsl{Reach far. Aim high. \: Dream big. }[/tex]

--

PS. Please, refer to this link if you want to learn more:

✨brainly.com/question/21513803?referrer=searchResults

--

Question:-
[tex] \dfrac{1}{2} + \dfrac{1}{4} [/tex]
Help!!
:"(














Answers

[tex]{\huge \underline{{ \fbox \color{red}{A}}{\fbox \color{green}{n}}{\fbox \color{purple}{s}}{\fbox \color{brown}{w}}{\fbox \color{yellow}{e}}{\fbox \color{gray}{r } }}}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bf \red{ \dfrac{1}{2} + \dfrac{1}{4} = \dfrac{3}{4} }[/tex]

Step by step explanation :-

The only thing you have to do is add the numerator to the denominator, in this case you have to add the first ones from the front, which can be these 2+1/4, which would result in 3/4, and this is called the Commutative Property.

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \bf \gray{ \dfrac{1}{2} + \dfrac{1}{4} = \dfrac{1}{4} + \dfrac{1}{2} }}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{ \bf \green{\dfrac{2 + 1}{4} = \dfrac{1 + 2}{4} }}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed {\bf \blue{\dfrac{3}{4} = \dfrac{3}{4}} }[/tex]

Answer :- The answer is 3/4

¿What is commutative property?

It is to change different ways in order of the addends the result would be the same.

Example :-

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed {\bf \blue{\dfrac{a}{b} + \dfrac{c}{d}} = {\dfrac{c}{d} + \dfrac{a}{b}} }[/tex]

I hope I've helped : )

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: Final \:\: value = \cfrac{3}{4}[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: \cfrac{1}{2} + \cfrac{1}{4} [/tex]

[ take LCM ]

[tex]\qquad \tt \rightarrow \: \cfrac{2}{4} + \cfrac{1}{4} [/tex]

[tex]\qquad \tt \rightarrow \: \cfrac{2 + 1}{4} [/tex]

[tex]\qquad \tt \rightarrow \: \cfrac{3}{4} [/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

A linear function contains the following points. What are the slope and y-intercept of this function?

Answers

Answer:

slope: -1

y-intercept: 6

Step-by-step explanation:

y-intercept is when x is 0 so it's 8 and the slope can be found using the slope formula (y2-y1)/(x2-x1)

(6-8)/(0 - (-2)) = -2/2 = -1

2. Use the relationship you established in part 1 to find the m your work. (1 point)

Answers

When faced with an unknown variable in a maths problem, it is advised to find the subject formula and then use it to solve the equation to find the answer.

What is an Unknown Variable?

This refers to the type of variable in a given equation that has to be solved for because its properties or value is not known.

Hence, we can see that when faced with an unknown variable in a given math problem, it is better to find the subject formula, then input the value of this into an equation, to find the value of the variable.

Read more about unknown variables here:

https://brainly.com/question/2133551

#SPJ1

There are 90 sixth graders at Wilson Middle School. Only 60% of the sixth graders will attend the morning assembly. How many sixth graders will be at the morning assembly?
A.44
B.54
C.64
D.74

Answers

Answer:

B, 54

Step-by-step explanation:

A movie theater offers three types of tickets: child, student, and adult. Ticket sales for two movies are shown in the table.

Ticket Type
Child Student Adult Total
Movie Title The Ransom 12 38 70 100
Space Force 34 42 56 132
Total 46 80 126 232
What proportion of tickets sold were adult tickets?

0.4310
0.5431
0.5556
0.7000

Answers

Answer:

  (b)  0.5431

Step-by-step explanation:

The proportion of adult tickets sold is the ratio of the total number of adult tickets sold to the total number of tickets sold. Those totals are found on the bottom line of the table.

__

  proportion = (adult tickets)/(total tickets) = 126/232 ≈ 0.5431

Approximately 0.5431 of the tickets sold were adult tickets.

Answer:

B) 0.5431

Step-by-step explanation:

edge 2023

6x -8=16 solve equation

Answers

Answer:

x = 4

Step-by-step explanation:

6x - 8 = 16 (add 8 to both sides)

6x = 24 (divide by 6 on both sides)

x = 4

Brainliest, please :)

Step-by-step explanation:

6x=16+8

6x=24

6x/6=24/6

x=4

so the answer is 4

What is the equation of the line that has a slope of -4 and passes through the point (2,3)?

Answers

Answer:

The answer is y = -4x+11

Write a linear equation in slope-intercept form using a slope and a given point. If a line has a slope of short dash 2 and goes through the point open parentheses 1 comma short dash 3 close parentheses, then the equation for the line in slope-intercept form is ______________. a.) y equals short dash 2 x minus 1 b.) y equals short dash 2 x plus 1 c.) y equals 2 x minus 5 d.) y equals 2 x plus 5

Answers

Answer: Choice A

y equals short dash 2 x minus 1

In other words, y = -2x - 1 is the equation

=========================================================

Explanation:

Slope = m = -2

Point on the line is (x,y) = (1, -3)

Use these three items to find the y intercept b

y = mx+b

-3 = -2*1 + b

-3 = -2 + b

-3+2 = b

-1 = b

b = -1

The slope intercept form of y = mx+b turns into y = -2x-1 after plugging m = -2 and b = -1

^
Which is the graph of the linear inequality 2x - 3y < 12?

Answers

The graph of the linear inequality 2x – 3y < 12 is given below. Then the correct option is A.

The missing options are given below.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

2x – 3y < 12

Then the correct graph will be given below.

Then the correct option is A.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ1

Look at the attachment! This is algebra. 10 points!​

Answers

If x∆y = 3x - y², then

5∆1 = 3×5 - 1² = 15 - 1 = 14

and

14∆6 = 3×14 - 6² = 42 - 36 = 6

So (5∆1)∆6 = 6.

Which statement is true about this equation Y=-3x2+4x+-11

Answers

Answer:

For plato users, the answer would be letter C.

Step-by-step explanation:

A.

It represents neither a relation nor a function.

B.

It represents a relation only.

C.

It represents both a relation and a function.

D.

It represents a function only.

This equation represents both a relation and a function.

Took the test, hope this helps!

Step-by-step explanation:

(x³ + ³) / (x - y)
Do not include parentheses in your answer.

Answers

The simplified expression of [tex]\frac{x^3 + (-y)^3}{(x - y}[/tex] is [tex]x^2+xy+y^2[/tex]

Complete question

Simplify the expression: (x³ + (-y)³) / (x - y)

Do not include parentheses in your answer.

How to simplify the expression?

The expression is given as:

[tex]\frac{x^3 + (-y)^3}{(x - y}[/tex]

Open the inner bracket

[tex]\frac{x^3 -y^3}{(x - y}[/tex]

Apply the difference of two cubes to the numerator

[tex]\frac{(x-y)(x^2+xy+y^2)}{(x - y}[/tex]


Cancel out the common factors

[tex]x^2+xy+y^2[/tex]

Hence, the simplified expression of [tex]\frac{x^3 + (-y)^3}{(x - y}[/tex] is [tex]x^2+xy+y^2[/tex]

Read more about expressions at:

https://brainly.com/question/723406

#SPJ1

PLEASE HELP
The function
shown.
Select from the drop-down menus to correctly describe the end
f (x).
behavior of
f(x) = -2(0.25) + 1is
As x decreases without bound, the graph of
Choose...
Choose...
As x increases without bound, the graph of
f (x)
‹ƒ (x)
f(x)
1 2
5
4
3
2
1
-4-3-2-11.
3
1
2 3
4 5
4
6
5 6
7 8

Answers

Mmm try 12 and 5 I think

find the missing values in this sequence; -6;...;3...;15.​

Answers

It is 7 , 21
That’s the answer
Explenatkon.

Answer:

Maybe    9     and 12   ?

Step-by-step explanation:

-6 + 9 = 3  

    then   3 + 9 = 12

           then 12 + 3 = 15      

                 each term is the sum of the two that are before it

b) 1/16 + 3/64 + 9/256 + 27/1024 ....

Answers

The sum of the geometric series will be 1/4. And the sum of the series will be the negative 0.13.

The complete question is attached below.

What is the sum of the geometric series?

Let a be the first term and r be the common ratio. Then the sum of the geometric series will be

S = a / (1 – r)     if r < 1

S = a / (r – 1)     if r > 1

The series is given below.

1/16 + 3/64 + 9/256 + 27/1024 ....

Then we have

a = 1/16

r = (3/64) / (1/16) = 3/4

Then the sum of the series will be

S = (1/16) / [1 – (3/4)]

S = (1/16) / (1/4)

S = 1/4

Let [tex]\rm S = (-0.13)^m[/tex], where m = 1

Then the value of S will be

S = (-0.13)¹

S = -0.13

Hence, the sum of the series will be the negative 0.13.

More about the sum of the geometric series link is given below.

https://brainly.com/question/2771750

#SPJ1

Multiply (3a³-6b³) (4a² + 5b²)

Answers

Answer:

[tex]12a^5+15a^3b^2-24b^3a^2-30b^5[/tex]

Step-by-step explanation:

(3a³-6b³) (4a² + 5b²) -> Simplify not Multiply

Expand (3a³-6b³) (4a² + 5b²) using the FOIL Method.

Apply the distributive property.

[tex]3a^3(4a^2+5b^2)-6b^3(4a^2+5b^2)[/tex]

[tex]3a^3(4a^2)+3a^3(5b^2)-6b^3(4a^2+5b^2)[/tex]

[tex]3a^3(4a^2)+3a^3(5b^2)-6b^3(4a^2)-6b^3(5b^2)[/tex]

Simplify each term.

Rewrite using the commutative property of multiplication.

[tex]3*4a^3a^2+3a^3(5b^2)-6b^3(4a^2)-6b^3(5b^2)[/tex]

[tex]12a^5+15a^3b^2-24b^3a^2-30b^5[/tex]

Equation Simplified.

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

Hope this helped!

Which numbers below are odd?
A. 4271
B. 7966
C. 787
D. 288
E. 8113
F. 985

Answers

Answer:
A. 4271
C. 787
E. 8113
F. 985

(They all end in an odd number.)

For any real number c, √² =
A. ²
B. cl
C. 1
D. C

Answers

Answer:

answer D    ( if i interpreted your question correctly )

Step-by-step explanation:

Sqrt (c^2)  = √(c^2) = C

for f(x)-4x+1 and g(x)-x^2-5, find (g/f) (x)

Answers

Answer:

A.

Step-by-step explanation:

let me know if you want an explanation :))

Answer:

A

Step-by-step explanation:

Consider the given density curve.

A density curve is at y = one-third and goes from 3 to 6.

What is the value of the median?

3

4

4.5

6

Picture posted below

Answers

Answer: 4.5

Step-by-step explanation:

[tex]\frac{6+3}{2}=\boxed{4.5}[/tex]

We want to find the median for the given density curve.

The value of the median is 4.5. ({3+6)/2}

Let's see how to solve this.

First, for a regular set {x₁, ..., xₙ} we define the median as the middle value.

The difference between a set and a density curve is that the density curve is continuous, so getting the exact middle value can be harder.

Here, we have a constant density curve that goes from 3 to 6.

Because it is constant, the median will just be equal to the mean, thus the median is the average between the two extreme values.

Remember that the average between two numbers a and b is given by:(a + b)/2

So we get: m = (6 + 3)/2 = 4.5

So we can conclude that the value of the median is 4.5, so the correct option is the second one, counting from the top.

If you want to learn more, you can read: https://brainly.com/question/26559908

#SPJ10

What is the equation of the following line? Be sure to scroll down first to see
all answer options.
-10
10- (2, 10)
(0, 0)
10

Answers

The equation of the line with points (2,10) and (0,0) is: y = 5x.

How to Find the Equation of a Line?

The line given has two points which are stated as:

(2,10) and (0,0).

Find the slope(m):

Slope (m) = change in y / change in x = (10 - 0)/(2 - 0)

Slope (m) = 10/2

Slope (m) = 5

The y-intercept (b) = 0

Substitute m = 5 and b = 0 into y = mx + b

y = 5x + 0

y = 5x

The equation of the line is: y = 5x.

Learn more about equation of a line on:

https://brainly.com/question/13763238

#SPJ1

Which equation is equivalent to log3(x+5) = 2

Answers

Answer:

[tex]3^2=x+5[/tex]

Step-by-step explanation:

Given equation:

[tex]\log_3(x+5)=2[/tex]

Method 1

[tex]\textsf{Using the Log law:} \quad \log_ab=c \:\: \Longleftrightarrow \:\: a^c=b[/tex]

[tex]\implies \log_3(x+5)=2[/tex]

[tex]\implies 3^2=x+5[/tex]

Method 2

Make both sides of the equation the index to base 3:

[tex]\implies \log_3(x+5)=2[/tex]

[tex]\implies 3^{\log_3(x+5)}=3^2[/tex]

Apply the log law [tex]a^{\log_ax}=x[/tex] :

[tex]\implies x+5=3^2[/tex]

Swap sides:

[tex]\implies 3^2=x+5[/tex]

Solve for x

Although the question hasn't asked to solve for x, here is the solution:

[tex]\implies 3^2=x+5[/tex]

[tex]\implies 9=x+5[/tex]

[tex]\implies x=9-5[/tex]

[tex]\implies x=4[/tex]

Check

Substitute the found value of x into the original equation:

[tex]x=4 \implies \log_3(4+5)=\log_39=2 \quad \leftarrow\textsf{correct}[/tex]

[tex]\\ \rm\Rrightarrow log_3(x+5)=2[/tex]

log_a^b=c then b=a^c

[tex]\\ \rm\Rrightarrow x+5=3^2[/tex]

[tex]\\ \rm\Rrightarrow x+5=9[/tex]

[tex]\\ \rm\Rrightarrow x=9-5[/tex]

[tex]\\ \rm\Rrightarrow x=4[/tex]

Simplify (3^1\2x2^1\3)^1\2

Answers

Answer:

1.37

Step-by-step explanation:

3^1=3/2=1.5

2^(1/3)=1.26

1.5×1.26=1.89

1.89^(1/2)=1.37


A business student is interested in estimating the 95% confidence interval for the proportion of students who bring laptops to campus.
He wishes a precise estimate and is willing to draw a large sample that will keep the sample proportion within five percentage points
of the population proportion. What is the minimum sample size required by this student, given that no prior estimate of the population
proportion is available?
(You may find it useful to reference the z table. Round intermediate calculations to at least 4 decimal places
and "2" value to 3 decimal places. Round up your answer to the nearest whole number.)

Answers

Using the z-distribution, the minimum sample size required by this student is of 385.

What is a confidence interval of proportions?

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

We want a margin of error of M = 0.05, with no prior estimate, hence [tex]\pi = 0.5[/tex], then we have to solve for n to find the minimum sample size.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.05 = 1.96\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.05\sqrt{n} = 1.96(0.5)[/tex]

[tex]\sqrt{n} = 1.96 \times 10[/tex]

[tex](\sqrt{n})^2 = (1.96 \times 10)^2[/tex]

n = 384.16

Rounding up, the minimum sample size is of 385.

More can be learned about the z-distribution at https://brainly.com/question/25890103

#SPJ1

Sum of 1/(1*2*3) + 1/(2*3*4) +....+1/(18*19*20)

Answers

Answer: 189/760

Step-by-step explanation:

The series can be represented in sigma notation as:

[tex]\sum^{18}_{n=1} \frac{1}{n(n+1)(n+2)}[/tex]

We can perform partial fraction decomposition as follows:

[tex]\frac{1}{n(n+1)(n+2)}=\frac{A}{n}+\frac{B}{n+1}+\frac{C}{n+2}\\\\ \implies 1=A(n+1)(n+2)+B(n)(n+2)+C(n)(n+1)[/tex]

If n = 0, then [tex]1=A(0+1)(0+2) \implies A=\frac{1}{2}[/tex]

If n = -1, then [tex]1=B(-1)(-1+2) \longrightarrow B=-1[/tex]

If n = -2, then [tex]1=C(-2)(-2+1) \longrightarrow C=\frac{1}{2}[/tex]

This means the series can be expressed as:

[tex]\sum^{k}_{n=1} \left(\frac{1}{2n}-\frac{1}{n+1}+\frac{1}{2(n+2)} \right)=\frac{k(k+3)}{4(k+1)(k+2)}[/tex]

Substituting in k=18,

[tex]\frac{18(21)}{4(19)(20}=\boxed{\frac{189}{760}}[/tex]

4x^2+2xy-10y^2+9=0 what is the value of a,b,c and the discriminant?

Answers

basically you treat y like a number and not a variable

Answer:

a is 4

b is 2y

c is -10y²+9

discriminant is 4(41y²-36)

Step-by-step explanation:

4x²+2xy-10y²+9=0

rewrite in standard form of a quadratic equation like ax² + bx + c = 0

4x²+2yx-10y²+9=0

basically you treat y like a number and not a variable

a is the number with the x²

right away we know a is 4 because of 4x²

b is the one with x so in this formula b is 2y

c is the number without the x which in this case is -10y²+9

discriminant is

b² - 4ac

(2y)²- (4)(4)(-10y²+9)

4y²-(16)(-10y²+9)

4y²-(16)(-10y²+9)

4y²+160y²-144

164y²-144 =

4(41y²-36)

Find the indicated angle measures:

Answers

Answer:

Angle 1: 55 degrees
Angle 2: 55 degrees
Angle 3: 70 degrees

Step-by-step explanation:

Finding angle 1: We know that in a triangle, all three angles must add up to 180 degrees. In the triangle on the left, 2 of the angle measures are already given to us. Therefore, we can simply do 180 - 40 - 85, thus the measure of angle 1 is 55 degrees.
Finding angle 2: We know that opposite angles are congruent. Therefore, angle 2 and angle 1 have the same measure.
Finding angle 3: Using the same thought process as we used when finding the measure of angle 1, we can subtract the other 2 angles. 180 - 55 - 55 is equal to 70.

Answer:

first, we take the first triangle( the right one), since a triangle is equal to 180 we add 85 and 40 which gives us 125, we then subtract 125 with 180 getting 55 so (1) =55

to find (2) we put 55 the same number as no. (1) because of the property VERTICALLY OPPOSITE ANGLES.

then to find (3) we do the same steps as (1), we add 55 and 55 and subtract by 180. 55+55=110

             =110 - 180

             =70

There u go, please mark me as brainless

Other Questions
Decolonization in africa is not complete discuss (10mks) Suppose we want to choose 2 colors, without replacement, from the 3 colors red, blue, and green . How many ways can this be done, if the order of choices is relevant Which two of the following statements best describe the similarity between elements and compounds? 1. Elements and compounds are listed in the periodic table. 2. Elements and compounds are both pure substances. 3. Elements and compounds are both made of different kinds of atoms. 4. Elements and compounds cannot be broken down by physical changes. I need help. The four main types of macromolecules found in organisms are carbohydrates, lipids, nucleic acids, and ? Which part of this excerpt from Ralph Waldo Emerson's "Self-Reliance" conveys that it is ideal for people to respect others opinions but to care only about their own?What I must do is all that concerns me, not what the people think. This rule, equally arduous in actual and in intellectual life, may serve for the whole distinction between greatness and meanness. It is the harder, because you will always find those who think they know what is your duty better than you know it. It is easy in the world to live after the world's opinion; it is easy in solitude to live after our own; but the great man is he who in the midst of the crowd keeps with perfect sweetness the independence of solitude. the value of a savings account can be found using the equation 300(1.03)^24. the interest is compounded monthly. the interest rate is _____ per yeara. 12%b. 0.25%c. 36%d. 1.5% Is the United States of America an empire? If so, where is the empire, and how has it changed since 1900? If not, was it ever? If it was but no longer is an empire, when did it end, and what led to its demise? Solve x - 6 = 8.O A. x = 14 and x = -2B. x=-14 and x = 2OC. x 14 and x = -14-OD. x = -14 and x = 2 A triangle has two sides of lengths 4 and 15. What value could the length ofthe third side be? Check all that apply.A. 19B. 11C. 4OD. 15OE. 12F. 13 Select the correct answer from the drop-down menu. Read the passage. Then choose the correct way to complete the sentence. The author develops Pashas character by -describing her physical reaction to-revealing her thoughts about-including dialogue with Seamus about -showing Seamus's concern about her enrolling in a motorcycle riding class.(PASSAGE): Beginner's Class "Hey, Pasha," called Samus as he crossed the parking lot. "What are you doing this afternoon? I was thinking about catching a movie, if you're interested." "Thanks, but I've got big plans today," Pasha replied with a huge smile. "Today is the day." "Huh? Today is what day?" asked Samus with a confused look. "THE day, silly," answered Pasha. "I finally saved enough money to enroll in the beginner's class at the Motorcycle Safety Association. I'm headed there now, as a matter of fact." Samus stared at his friend in disbelief. "Wait a minute," he said as he stopped in his tracks. "You actually enrolled in the motorcycle riding class? I never thought you'd do it. I thought it was just another project you act excited about and then drop in two weeks." "Don't be silly," replied Pasha. "This isn't like the time I wanted to volunteer as a clown for the children's center or start my own dog walking business. I'm serious about learning to ride motorcycles. Once I get my first bike, I'll travel all over the world just like my hero, Lois Pryce." "Isn't she the woman who rode her motorcycle from Alaska to South America?" Samus asked as they continued walking toward the dark grey MSA building. "Yes, that's her," said Pasha. "I got to meet her last year when she gave a speech at the History of the Americas museum. She talked about following your dreams, and that's exactly what I intend to do." A loud roaring sound filled the air as Pasha and Samus entered the Motorcycle Safety Association. They stood in the lobby and looked out at an indoor gym filled with people of all ages on motorcycles. Pasha felt a brief rush of insecurity as she watched the riders maneuver their way through an obstacle course of traffic cones and speed bumps. "This looks intense!" Samus remarked. "Do you think they'll let me stay and watch?" Pasha was about to answer when a tall woman dressed in a MSA t-shirt tapped her on the shoulder. "You must be our newest student," the woman said as she handed Pasha a motorcycle helmet. "I'm Dervla, your instructor. I'll take you to your practice bike." Samus moved to follow Pasha into the gym, but Dervla smiled and shook her head. "Sorry, registered students only," she told him. "There are brochures by the door, and our next class starts in three weeks." Samus waved to Pasha and wished her good luck before heading eagerly to the door. Behind him, Pasha, wearing an excited grin, fastened the strap on her motorcycle helmet and prepared to take her first ride. Pams eye-level height is 324 ft above sea level, and adams eye-level height is 400 ft above sea level. how much farther can adam see to the horizon? use the formula d = startroot startfraction 3 h over 2 endfraction endroot, with d being the distance they can see in miles and h being their eye-level height in feet. need help asap! Fill in the blank by entering just a number How did the Iroquois describe their League?Group of answer choicesAdhering to the precepts of respecting nature and all riversUtilizing and respecting the wampum alwaysIn "The Law of the Great Peace" they described themselves as 5 arrows tied together strongly. 1. Can you _______French?a. speakb. to speakc. speaksd. spoke2. Michael _________ to work yesterday.a. not gob. didnt goc. didntd. wasnt3. A: ___________________ B: $8 for an adult, $4.50 for children under 12.a. How much is it to get in?b. I gave you a 10 note, not a 5 note.c. How much is a litre of petrol?d. Its cheaper if you buy a family ticket.4. Its a lovely day. Its _________. Lets go to the beach.a. cool and cloudyb. cold and foggyc. sunny and warmd. wet and windy5. I didnt have much time, so I did my homework ________.a. quicklyb. lazilyc. peacefullyd. tragically Who can take part in this yoga trek programme? List some factors that influenced Texans to be either pro secession or pro union Which of the following is describe in the box above?1: Global Positioning System (GPS)2: Geographic Information System (GIS)3: Global Navigation Satellite System (GNSS)4: Global Orbiting Navigation Satellite System (GLOSNASS) Which statements accurately describe the function f(x) = 3(16) superscript three-fourths x? select three options. Which of the following equations represents a nuclear charge?A) H2O(s) + Heat --> H2O(I)B) H2CO3(aq) --> H2O(I) + CO2(g)C) 14 14 0 C --> N + e 6 7 -1D) H2CO3(aq) + Ca(OH)2(aq) --> CaCO3(s) + 2 H2O(I)Select one:a. Ab. Bc. Cd. D Which of the following is NOT true about steroid hormones?Select one:A. All of the choices are true.B. They bind on cell membrane receptors.C. The cannot be made in advance.D. They have a long half-life.E. They are derived from cholesterol. *Physiology*