The sum of 12 and a number. Use n for the variable. Responses 12/n 12/n 12 x n 12 x n 12 - n 12 - n 12 + n

Answers

Answer 1

The expression for the sum is (12 + n).

We are given two terms to add. The first number is 12, which is an integer. The second number is unknown. An integer is a number that has no decimal or fractional portion and can be negative or positive, including zero.

The second number is represented by a variable "n". A variable is a mathematical object's symbol and placeholder. A variable can, for example, represent an integer, a vector, or other data.

We need to write the expression for the sum of these two numbers. Let S represent the sum of these two numbers.

S = 12 + n

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Related Questions

A model of a car is 1 feet wide and 3 feet long. If the actual car is 15 feet long, what is the width of the actual car?
A. 3 feet

B. 5 feet

C. 15 feet

D. 45 feet

Answers

45 feet I believe because it jus makes since in if it don’t then u need lots of help

Answer:

5 feet.

Step-by-step explanation:

if we see that 3 feet is the model and 15 feet is the actual, we find the ratio is 3:15 or 1:5. since the width is 1 foot, then we see the actual is 5 feet long.

fill in the blank 96 inches = blank feet

Answers

Answer:

8 feet

Step-by-step explanation:

there's 12 inches in 1 foot so 12 x 8 = 96

Trapezoid G is a scaled copy of trapezoid F.

Answers

Answer:

yes it is???

Step-by-step explanation:

0.38 in expanded form

Answers

Answer:

0 + 0.30 + 0.08

Step-by-step explanation:

hope it helps :)

basic trig, need help please

Answers

Answer: θ≈18,553°

Step-by-step explanation:

[tex]\displaystyle\\sin\theta=\frac{7\ cm}{22\ cm} \\\\sin\theta=\frac{7}{22}\\\\\theta=arcsin\frac{7}{22} \\\\\theta\approx18.553^0[/tex]

J.5 unit rates
96 kilometers in 3 hours = ?

Answers

The unit rate for 96 kilometers in 3 hours  is 32 kilometer per hour.

What is unit rate?

A unit is one of a particular object. An item's unit rate is its price for one of it. This is expressed as a ratio with a one as the denominator. For instance, if you covered 70 yards in 10 seconds, you covered 7 yards on average every second. Seven yards in one second and 70 yards in ten seconds are both ratios, but only one of them is a unit rate.

Given in the question,

96 kilometer in 3 hours,

In order to find unit rate we have to change given values in kilometers per hour.

Do, 96 kilometer = 3 hours

96/3 kilometer = 1 hour

Therefore, unit rate is 32 kilometer per hour.

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tan(x+pie) + sin(x+pie) + sin (x-pie) = 0

Answers

Answer:

[tex]x=\dfrac{\pi }{3}+2\pi n, \quad x=\dfrac{5\pi }{3}+2\pi n,\quad x=2\pi n,\quad x=\pi+2\pi n[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{6.5 cm}\underline{Trigonometric Double Angle Identities}\\\\$\sin (A \pm B)=\sin A \cos B \pm \cos A \sin B$\\\\$\cos (A \pm B)=\cos A \cos B \mp \sin A \sin B$\\\\$\tan (A \pm B)=\dfrac{\tan A \pm \tan B}{1 \mp \tan A \tan B}$\\\end{minipage}}[/tex]

Given equation:

[tex]\tan (x + \pi) + \sin(x + \pi) + \sin(x - \pi)=0[/tex]

Simplify using the double angle identities:

[tex]\implies \dfrac{\tan x + \tan \pi}{1 -\tan x \tan \pi} + \sin x \cos \pi+\cos x \sin \pi + \sin x \cos \pi -\cos x \sin \pi=0[/tex]

[tex]\implies \dfrac{\tan x + 0}{1 -\tan x(0)} + \sin x (-1)+\cos x (0) + \sin x(-1) -\cos x (0)=0[/tex]

[tex]\implies \dfrac{\tan x}{1} -\sin x - \sin x=0[/tex]

[tex]\implies \tan x-2\sin x =0[/tex]

Use the tan identity to rewrite tan(x) in terms of sin(x) and cos(x):

[tex]\implies \dfrac{\sin x}{ \cos x}-2\sin x=0[/tex]

Multiply both sides by cos(x):

[tex]\implies \dfrac{\sin x\cos x}{ \cos x}-2\sin x\cos x=0(\cos x)[/tex]

[tex]\implies \sin x-2\sin x \cos x=0[/tex]

Factor out sin(x) from the left side of the equation:

[tex]\implies \sin x(1-2 \cos x)=0[/tex]

Apply the zero-product property.

Case 1

[tex]\implies \sin x=0[/tex]

[tex]\implies x=\sin^{-1}(0)[/tex]

[tex]\implies x=2\pi n, \; \pi+2\pi n[/tex]

Case 2

[tex]\implies 1-2 \cos x=0[/tex]

[tex]\implies 1=2 \cos x[/tex]

[tex]\implies \cos x=\dfrac{1}{2}[/tex]

[tex]\implies x= \cos ^{-1} \left(\dfrac{1}{2}\right)[/tex]

[tex]\implies x=\dfrac{\pi }{3}+2\pi n, \;\dfrac{5\pi }{3}+2\pi n[/tex]

Solution

[tex]x=\dfrac{\pi }{3}+2\pi n, \quad x=\dfrac{5\pi }{3}+2\pi n,\quad x=2\pi n,\quad x=\pi+2\pi n[/tex]

what is 12/40 as a percentage
what is 33/60 as a percentage

Answers

Answer:

To do percentages with fractions,

divide the numerator by denominator to get a decimal,

so for example, 12/40.

12/40 is 0.3 decimal, and then to make it percent,

we multiply by 100,

how does that work?

you move two places to the right because 100 has two zeros

so 0.3 would be 30,

therefore the percent of 12/40 would be 30%

number two same thing

33/60=0.55

0.55x100=55

so 55%

have a good day! <3

Answer:

30%55%

Step-by-step explanation:

can anyone help?????

Answers

Answer: 0

Step-by-step explanation:

Since y is 2, and it’s being multiplied by 4, you have 8 - 8 which =0

Y=2

4(2) - 8

8-8

0

Answer:

0

Step-by-step explanation:

4y - 8

Given that,

y = 2

To find the value of given expression, replace y with 2 and solve the expression.

Let us solve it now.

4y - 8

4 × 2 - 8

8 - 8

0

Which of these equations represent functions where is x is the input and y is the output ?

Answers

The equations represent functions where x is the input and y is the output are y = 2x and x+y = 2

The 1st equation is x =2

Since there is no component of y and the value of x is fixed. So this is not the desired option.

The 2nd equation is y = 2

Since there is no component of x, and the value of y is fixed. So this is not the desired option.

The 3rd equation is y = 2x

In this equation, x is the input and y is the output. For different values of x, we will have different values of y.

Thus, this is the desired option.

The 4th equation is x =2y

In this equation, y is the input and x is the output. For different values of y, we will have different values of x.

The 5th equation is x+y = 2

So, x + y = 2

y = 2 - x

In this equation, x is the input and y is the output. For different values of x, we will have different values of y.

Thus, this is the desired option.

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(d)
After one year, the value of Annie's car had reduced by 20%.
At the end of the second year, the value of Annie's car had reduced by a further 15% of its value at the
end of the first year.
07
(i) Calculate the overall percentage reduction after the two years.
20

Answers

So the answer would be d

a small radio transmitter broadcasts in a 20 mile radius. if you drive along a straight line from a city 27 miles north of the transmitter to a second city 24 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter?

Answers

To solve the given problem first we need to find the equation for line then we have to find the intersection point on circle.

You will pick up a signal from the transmitter in 29% of the drive.

Given:

The radius is 53 mile.

The origin point of transmitter is .

Calculate the slope of line with point  and .

Substitute the value.

Write the general equation of line.

Now we got the equation of line,

Write the transmitter reach the area enclosed by the next circle.

Substitute the value of .

Further solving we get the point  and .Please refer the attached figure.Apply the Pythagoras theorem to find the total distance.Apply the Pythagoras theorem to find distance when the signal is picked up.Calculate the percentage of distance covered.

Thus, You will pick up a signal from the transmitter in 29% of the drive.

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Study each equation, then solve.

8) 5 + r = 6 - r

9) z - 16 = - 16

10) 7n - 7 = 0

Answers

The solution for r in equation 5 + r = 6 - r,   r =1/2

The solution for z in equation  z - 16 = - 16,  z= 0

The solution for n in equation 7n - 7 = 0 ,    n= 1

(8) 5 + r = 6 - r

Step 1: Rearrange the equation by collecting the like terms

r +r=6-5

Step 2: Simplify r +r=6-5

2r = 1

Step 3: Divide both sides by 2

2r/ 2 =1/2

r =1/2

9) z - 16 = - 16

Step 1; Add 16 to both sides

z-16 +16 = -16 +16

z= 0

10) 7n - 7 = 0

To solve for n

Step 1: Add 7 to both sides

7n - 7 +7 = 0+7

7n =7

Step 2: Divide both side by 7

7n/7 =7/7

n= 1

Therefore, the solution for r in equation 5 + r = 6 - r, r =1/2

The solution for z in equation  z - 16 = - 16,    z= 0

The solution for n in equation 7n - 7 = 0,   n= 1

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at a local college, 35.1% of students major in business, 12.3% of students major in economics, and 2.6% of students major in business and economics. what is the probability that a randomly selected student majors in business or economics? (write your answer as a percent rounded to 1 decimal place.)

Answers

The probability that a randomly selected student majors in business or economics is 44.8%.

Describe the union set in probability?A set that contains every element in at least one of two sets is called a union of two sets. The union is denoted by the symbols A∪B or “A or B” A fresh batch that includes every element from both sets is created when two sets intersect. The intersection is denoted by the symbols A∩B or “A and B”.

Let 'B' be the students of business.

P(B) = 35.1%

Let 'E' be the students of business.

P(E) = 12.3%

Thus,

P(E ∩ B) = 2.6%

P(E ∪ B) = probability for student majors in business or economics.

P(E ∪ B) = P(B) + P(E) - P(E ∩ B)

Put the values-

P(E ∪ B) = 35.1% + 12.3% -  2.6%

P(E ∪ B) = 44.8%

Thus, the probability that a randomly selected student majors in business or economics is 44.8%.

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Find the slope and reduce.
P=(-8, 3) Q=(-6, 2)
Slope
=

Answers

Answer:

2-3/-6-(-8)

= -1/2

Dominic needs a new bike mirror. His old mirror was a square with a side length of 9 cm. He wants the new mirror to have an area as close as possible to his old bike mirror.

Answers

The new mirror must have at least 81 cm² of the area.

What is the area of the square?

The area of the square is defined as the product of the length and width.

As per the given question, we have

Dominic requires a new bicycle mirror. His old mirror was a square with a 9-cm side length.

He wants the replacement mirror to have an area that is as near to his previous bike mirror as feasible.

We have to determine the area of the previous bike mirror.

The area of the previous bike mirror = (side length)²

The area of the previous bike mirror = (9)² = 9 x 9

The area of the previous bike mirror = 81 cm²

So the new mirror must have greater than 81 cm² of area.

Thus, the new mirror must have at least 81 cm² of the area.

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Answer:

5 cm

Step-by-step explanation:

hope this helps

HELP
(2, -1); m = 5/4


Answers

Answer:

part b

y + 1 = 5/4(x - 2)  

part c

y - 5 = 3(x - 0) or y - 5 = 3(x)

Step-by-step explanation:

pls help with this question

Answers

Answer:99

Step-by-step explanation:

1/2 x18x11

99

176? Not fully sure though

The graph of the absolute value parent function, f(x) = lxl, is stretched horizontally by a factor of 6 to creator the graph of g(x). What function is g(x)?​

Answers

The function g(X) will be of the form g(x) = |x/6| ,when stretched by a factor of 6.

The function is f(x)=|x| .

We know that for transformation of a function of the form horizontal stretch by a factor of 'a' is given by the g(x)= f(x/a)

So in this given function the horizontal stretch is by a factor of 6.

Therefore g(x) = f(x/6)

or, g(x) = |x/6|

In the graph attached the green represents the function f(x) while the red represents the function g(x).

A function transformation either "moves," "resizes," or "reflects" the graph of anything similar to the parent function. The following are the three main types of function transformations:

Dilation is the only one of these changes that modifies the size of the original shape; the other two just change its location.

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Given: AD
Prove: DE
A
D
BC and ZBCD ZADC
CE
C
Intro
B
Correct! Assemble the next
statement.
Angles Segments Triangles Statements Reasons
SAS
CPCTC
reflexive property
Statements
✓1. AD BC
✓ 2. ZDEA and CEB are
vertical angles
3. ZBCD
ZADC
vertical angles theorem
Reasons
1. given
2. def. of vertical angles
3. given

Answers

Triangle ADC and ΔBDC are congruent.     then DE ≅ CE

         

What do you mean by congruent?

It is claimed that two figures are "congruent" if they can be positioned exactly over one another. Both the shape and size of the bread slices are same if you lay one slice on top of the other. Congruent refers to having precisely the same form and size.

Given,

        AD ≅ BC

      ∠BCD ≅ ∠ADC

In triangle ADC and ΔBDC

                    AD ≅ BC    ( GIVEN )

      ∠BCD ≅ ∠ADC          ( GIVEN )

             DC = DC             ( Common line)

so  triangle ADC and ΔBDC are congruent.

             then DE ≅ CE

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Write an equation perpendicular to y =− 3x + 2 and passes through the point (0, 8).

Answers

Answer:

y = [tex]\frac{1}{3}[/tex] x + 8

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 2 ← is in slope- intercept form

with slope m = - 3

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-3}[/tex] = [tex]\frac{1}{3}[/tex]

the line crosses the y- axis at (0, 8 ) ⇒ c = 8

y = [tex]\frac{1}{3}[/tex] x + 8 ← equation of perpendicular line

a yield sign measures 24 inches on each of its three sides. what is the area of the sign? (round your answer to one decimal place.)

Answers

A yield sign measures 24 inches on each of its three sides ( equilateral )then the area of the sign is 249.4

Given,

24 inches on each of its three side. (See in attached picture)

Consider ADB,

As it is an equilateral triangle, BD = BC/2 = 12 inches

By Pythagoras theorem,

AB^2 = BD^2 + AD^2

24^2 = 12^2 + AD^2

24^2 – 12^2 = AD^2

576-144 = AD^2

432= AD^2

20.78= AD

Area = ½ (base * height)

       = ½ (24*20.78)

       = 249.4

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the probability of spinning a1 is the same for both spinners ture or false​

Answers

The probability of spinning a 1 is the same for both spinners: False

How to determine the true statement?

The spinners that complete the question are added as an attachment

From the attached figures, we  have

Spinner 1

Number of 1 = 1

Sections = 4

Spinner 2

Number of 1 = 2

Sections = 6

The probability of obtaining 1 is calculated as

P(1) = Number of 1/Sections

So, we  have

Spinner 1

Number of 1 = 1

Sections = 4

P(1) = 1/4

Spinner 2

Number of 1 = 2

Sections = 6

P(1) = 2/6

By comparison

1/4 and 2/6 do not have the same value

Hence. it is false that the probability of spinning a 1 is the same for both spinners

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if three sides of a trapezoid are 10 inches long, how long should the fourth side be if the area is a maximum?

Answers

The area of the trapezoid is maximum when the fourth side be 20 inches.

What is meant by trapezium?

Trapezoids are quadrilaterals with two parallel and two oblique sides. It is also known as a trapezium. A trapezoid is a four-sided closed shape or figure with a perimeter that covers some area.

By applying Pythagorean theorem,

[tex]c^2=a^2+b^2[/tex]

[tex]10^2=h^2+x^2[/tex]

[tex]100=h^2+x^2[/tex]

[tex]h^2=100-x^2[/tex]

[tex]h=\sqrt{100-x^2}[/tex]

Area of the trapezoid is,

[tex]A=\frac12 \times h\times (b_1+b_2)[/tex]

By substituting  the values of h, b1, and b2 in the above equation,

[tex]A=\frac12 \times \sqrt{100-x^2} \times (10+2\times x+10)[/tex]

[tex]A=\sqrt{100-x^2} \times (x+10)[/tex]

If we take the derivative of both sides of the equation in relation to x, we get

[tex]\frac{dA}{dx}=\frac{d}{dx}[\sqrt{100-x^2} \times (x+10)][/tex]

[tex]\frac{dA}{dx}=\sqrt{100-x^2} \ \frac{d}{dx} (x+10) + (x+10) \ \frac{d}{dx} \sqrt{100-x^2}[/tex]

[tex]\frac{dA}{dx}=\sqrt{100-x^2} - \frac{x^2+10 x}{\sqrt{100-x^2}}[/tex]

[tex]\frac {dA}{dx}=0[/tex]

[tex]0=\sqrt{100-x^2} - \frac{x^2+10 x}{\sqrt{100-x^2}}[/tex]

[tex]\sqrt{100-x^2} = \frac{x^2+10 x}{\sqrt{100-x^2}}[/tex]

100-x²=x²+10x

2x²+10x-100=0

x²+5x-50=0

(x-5)(x+10)=0

If, x+10=0

x=-10

The above value is not accepted because it is a negative value,

If, x-5=0

x= 5

The value is accepted because it is positive value

The length of the trapezium which should be fourth is,

b₂=2x+10

b₂= 2(5)+10

b₂=20

The area of the trapezoid is maximum when the fourth side be 20 inches

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Can someone please help me

Answers

The proof that show show how ΔTRS ≅ ΔQRP by SAS congruence theorem is explained below.

What is the SAS Congruence Theorem?

The SAS congruence theorem states that if two triangles have one pair of corresponding included angles that are congruent, and two pairs of corresponding sides that are also congruent, then both triangles are congruent to each other.

Using the SAS, the proof that shows both triangles are congruent is explained below.

Statements                        Reasons                                          

1. SR ≅ PR                          1. Given

2. SP bisects TQ               2. Given

3. TR ≅ QR                        3. Definition of bisection

4. ∠TRS ≅ ∠QRP              4. Vertical ∠s theorem

5. ΔTRS ≅ ΔQRP              5. SAS congruence theorem

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Pls Help BrainliestBegging u PlsPLS!!!!!!!!!!!!

How many positive three-digit integers have at least one digit that is a 5 or a 7?

Answers

Answer:

452 integers

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

Three-digit integer in the form of abc.

Possible numbers for each digit

a - 1 to 9, nine options,b and c - 0 to 9, ten options

Let a = 5 or 7, then for a we have 2, for b and c 10 options:

5bc or 7bc2*10*10 = 200

Let b = 5 or 7, then for a we have 9 - 2 = 7, for b 2 and for c 10 options

a5c or a7c7*2*10 = 140

Let c = 5 or 7, then for a we have 9 - 2 = 7, for b 10 - 2 = 8 and for c 2 options

ab5 or ab77*8*2 = 112

Total options200 + 140 + 112 = 452

One type of plant root splits 4 times while growing in the ground. The number of new roots after each split can be modeled by the function f(x)=3x, where x is the number of times the root splits. What is the domain of f(x)? CLEAR CHECK All positive integers All positive integers less than or equal to 4 All integers All positive integers greater than or equal to 4

Answers

The domain of the function f(x) = 3x is (b) All positive integers less than or equal to 4

How to determine the domain of the function?

From the question, we have the following equation of the function that can be used in our computation:

f(x) = 3x

In this case, the notations are given as

x = Number of splits

f(x) = number of new roots in each split

From the question, we have

Splits = 4

This means that the maximum value of x is 4

The other values of x would be

x = 1, 2, 3, 4

This can be represented as

0 ≤ x ≤ 4

The interpretation of the above notation is all positive values less than or equal to 4

Hence, the domain value is option (b)

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can someone answer this question really quick

Answers

c = 2.97r is the equation that describes the proportional relationship between r, the number of reams purchased and c, the total cost

How to write an equation that describes proportional relationships?

Two variables have a proportional relationship if all the ratios of the variables are equivalent

In order to write an equation that describes the proportional relationship r, the number of reams purchased and c, the total cost, we need to write a proportional equation using the variables:

c α r                  (Note: α is the proportion symbol)

c = kr

k = c/r

Where k is the constant of proportionality

As shown in the image, you can see that 4 reams cost $11.88 and 6 reams cost $17.82

k = c/r

k = 11.88/4 = 2.97 or 17.82/6 = 2.97

c = kr

c = 2.97r

Therefore, the equation that describes the proportional relationship between r, the number of reams purchased and c, the total cost is c = 2.97r. Enter c = 2.97r in the box

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Given the equation negative 28 equals y over 7, solve for y.

196
4
−4
−196

please help me.

Answers

The linear equation:

-28 = y/7

Can be solved by multiplying both sides by 7, to get y = -196

How to solve the equations?

Here we want to solve the equation:

-28 = y/7

And we want to solve this for the variable y.

To do so, we need to isolate said variable in one side of the equation, now remember that we can multiply both sides of the equation by the same number.

Then we can multiply both sides by 7 so we get:

-28*7 = (y/7)*7

-196 = y

The correct option is the last one.

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I need help with this question please help


Question 1 options:

70


180


67


40


140


143

Answers

Step-by-step explanation:

1. in a parallelogram the opposite angles are equal.

so,

3x - 7 = x + 73

and

angle DAB = angle DCB = z - 3

3x - 7 = x + 73

2x - 7 = 73

2x = 80

x = 40

angle ADC = angle ABC = x + 73 = 40 + 73 = 113°

to get to z we need also to remember, as a quadrilateral shape the sum of all inner angles of a parallelogram is 360°.

so,

2×113 + 2×(z - 3) = 360

226 + 2z - 6 = 360

220 + 2z = 360

2z = 140

z = 70

angle DAB = angle DCB = z - 3 = 70 - 3 = 67°

Answer:

Step-by-step explanation:

By definition of a parallelogram, we know that the opposite angles are equal.

Thus, x+73=3x-7.

We can further use algebra and subtract by 3x and 73 on both sides.

We now have -2x=-80.

If we divide both sides by -2, then we get x=40.

We can plug x=40 back into 3x-7 and x+73, and we get 113 for both angles, which of course makes sense because they should be equal.

By definition of a parallelogram, we know that the angles of a parallelogram add up to 360, and that angle DAB = angle BCD = z-3.

This means that 113+113+z-3+z-3=360.

Combining like terms, we get 220+2z=360.

We can use algebra again, and subtract both sides by 220, getting 2z=140.

Dividing both sides by 2, we get z=70.

Because angle DAB=z-3, and z=70, we can plug in 70 for z, producing the result of angle DAB=67.

Other Questions
when comparing societies, it is always best to be in one with a lower degree of income inequality. this is: question 8 options: a) scientifically provable to be true since income inequality is the most important consideration, and certainly more important than whether incomes are rising or not. b) a normative statement, but cannot be proved to be true scientifically. c) clearly false since economic science proves that a rising income is the most important consideration. d) because the natural rights theory says that everyone has a right to an equal income in order to have a fair society. examine the given beer's law standard curve for an unknown dye measured in a 1.0 cm cuvette. what is the concentration (in m) of a sample of the unknown dye with an absorbance of 0.32 at 542 nm? What is the perimeter of the composite figure?(Round to the nearest tenth) 6. what is the origin of the acceleration cue when in hover mode at 4 ktgs? in hover mode at 7 ktgs? in transition mode at 50 ktgs? The sum of the present ages of a brother and his younger sister is 16 years. If the product of their age is 63, find their ages. Write a linear function f with the values (0) = -3 and (7) = 11. if x/y=y/z=z/xshow that x=y=z at the standard temperature , the pressure inside an lp [propane] gas cylinder is 883 kpa. what is , the absolute pressure inside the gas cylinder when it is full, and when it is completely empty? Lola received $522.50 when she cashed her paycheck. Why is this important to us? Because you can also cash a check at a bank if you have an account there. If you have a checking account, you can write and mail a check to pay your bills. The bank will withdraw the money from your account. As long as you have enough money in your account (as much or more than what you're trying to cash), you can cash a check and get money back immediately. You can deposit money into a savings account. A savings account is a good way to save your money and earn money called interest. Banks also offer electronic services. You can use these services even when the bank is closed. Some banks have more than one branch or office. Use the branch closest to you if you are in a different town or state. All branches will have access to your account information. Monica cashed her paycheck at Ready Cash. The fee at Ready Cash to cash a check is 10% of the amount of the check. Her paycheck was $538. how much was the fee for Monica to cash her paycheck what is 1311 divided by 20=? using long division and with a remainder Alexander hamiltons policies primarily targeted which group of people for greater involvement in the new nation?. determine the volume in ml of a 0.505 m naoh solution required to titrate 40 ml of 0.25 mh2 so4 solution your best friend, who has recently graduated with honors from harvard university, arrives at a party you are hosting. despite being a total stranger to all of the guests, your friend is surrounded almost constantly by others throughout the entire evening. how would a theorist like max weber analyze this situation? Write the linear equation in the slope intercept form. (-6,0); slope= 2/3 in which year did president deng decide on economic zones and open the coastal regions for foreign investments? After buying dinner, Julia had 34$ left over. She spent 3$ on cranberry sauce, 12$ on stuffing, and 31$ on the turkey. How much money, m, did Julia start with? the six projections from the gray matter seen in cross-sections of the spinal cord are called . Need help immediately!!Mother to SonWell, son, I'll tell you:Life for me ain't been no crystal stair.It's had tacks in it,And splinters,And boards torn up,And places with no carpet on the floor Bare.But all the timeI'se been a-climbin' on,And reachin' landin's,And turnin' corners,And sometimes goin' in the darkWhere there ain't been no light.So, boy, don't you turn back.Don't you set down on the steps.'Cause you finds it's kinder hard.Don't you fall nowFor I'se still goin', honey,I'se still climbin',And life for me ain't been no crystal stair.Langston Hughes1. What images can be seen from these particular words? And why does Hughes pick these particular things as symbols in this poem?2. What was your reaction to the speaker of this poem? 3. Do you agree with the advice that the mother gives her son? Why or why not? 4. What do you think the speaker means when she says that her life has not been a crystal stair? when we wrote programs to interact with web apis and expected to receive text, we explicitly specified an encoding called utf-8.why was it important for us to specify an encoding?how do you think, in a practical circumstance, we would be able to find out what the appropriate encoding would be, if we weren't blindly assuming that utf-8 was the correct encoding?what to submit Find the sum of the measures of the interior angles of each convex polygon.