please help! Above☝️

Please Help! Above

Answers

Answer 1

Problem 7a

Answer: [tex]18 \le y < 300[/tex]

where y is the amount of tax paid in dollars

So y is between 18 and 300; including 18 but excluding 300.

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

Explanation:

x = annual income (in dollars)

y = amount of tax you have to pay (in dollars)

If x is between 600 and 10,000 then y is 3% of that, so y = 0.03*x is the rule for the first tax bracket.

If someone's income is x = 600 dollars, then they have to pay y = 0.03*600 = 18 dollars. This is the "floor" or lowest amount of tax that must be paid. We can't go any lower.

On the other side of the spectrum for this bracket, the highest income possible is x = 10,000 so 3% of this is y = 0.03*x = 0.03*10000 = 300 dollars. This is the "ceiling" or highest amount of tax paid for this bracket.

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

Problem 7b

Answer: Annual income is over $10,000

Possible annual incomes can be expressed by this compound inequality [tex]12000 \le x \le 19000 [/tex] meaning the incomes could be between $12,000 and $19,000 (inclusive of both endpoints).

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

Explanation:

From part A above, we found that the highest paid tax in the first bracket was $300 (well $299.99 because the exact amount 300 wasn't included). The lowest amount 400 is well above the ceiling mentioned, so we must be in the second tax bracket.

Here's how we compute the second tax bracket: we take 3% of 10,000 to get $300 and then we add on 5% of the remaining income over $10,000. The equation that represents this is y = 0.05*x + 300 where x is the extra amount of money over $10,000. For example, if I said x = 20, then we are 20 dollars over $10,000

Plug in y = 400 and let's solve for x to get

y = 0.05*x + 300

400 = 0.05*x + 300

0.05x = 100

x = 100/0.05

x = 2000

Meaning that a person making an extra $2000 on top of the $10,000 already taxed earns a total of $12,000 annually

Repeat for y = 50

y = 0.05*x + 300

750 = 0.05*x + 300

0.05x = 450

x = 450/0.05

x = 9000

So the annual income is 10,000+x = 10,000+9,000 = 19,000

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

Problem 7c

Answer: Anyone earning over $20,000 will pay less in tax at the 4% tax rate.

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

Explanation:

y = original tax rate for the second bracket (3% of first 10,000 plus 5% extra)

y = 5% of (extra amount over $10,000) + (3% of 10,000)

y = 5% of (x - 10000) + (3% of 10,000)

y = 0.05*(x-10000) + 300

z = 4% of annual income

z = 0.04*x

We want to see what x values will make z smaller than y

z < y

0.04x < 0.05*(x-10000) + 300

0.04x < 0.05*x-0.05*10000 + 300

0.04x < 0.05*x-500 + 300

0.04x < 0.05*x-200

0.04x-0.05*x < -200

-0.01*x < -200

x > -200/(-0.01) ......... note the inequality sign flips

x > 20000

If you earn more than $20,000 then the original rule of "3% plus the first $10,000 plus 5% of any extra income" will charge more tax. So for higher earners, they will want the flat tax rate of 4%



Related Questions

the body building club has an annual fee of $350. You plan to visit 10 times each month. how much is your cost per visit?

Answers

Answer:

≈ $2.92 per visit

Step-by-step explanation:

10 times each month

so 12 months = 12 x 10 = 120

an annual fee of $350

$350 / 120 ≈ $2.92

Help me with this please

Answers

Answer:

(4,2)

Step-by-step explanation:


Kate and did a hike at an elevation of 400 m above sea level she had started at an elevation 02 150 m below sea level which integer represents Kates change in elevation

Answers

Answer:

2550 m  

Step-by-step explanation:

Change in elevation = 400 – (-2150)

Change in elevation = 400 + 2150

Change in elevation = 2550 m

The stem and lead plot below displays the ages of 30 attorneys at a small firm

Stems | Attorneys
2 | 99
3 | 00112589
4| 1234458
5| 1233458
6 | 0137
7 | 12

What is the age of the oldest attorney? What is the age of the youngest attorney?

Answers

Answer: oldest-72
youngest-29

Explanation: the numbers before the line is the tenth place. The numbers after is the ones place.

T(p) is a function that models the average yearly temperature based on the degree latitude(p) of the location on earth. The lines of latitude run from East to West, but they are measured in terms of North and South, extending from −90° to +90°. Which domain is appropriate for this function?

Answers

Answer:

All the real numbers between [tex]\pm 90^\circ[/tex] including [tex]\pm 90^\circ[/tex].

Step-by-step explanation:

T(p) models the average yearly temperature based on degree latitude of the location.

Since the lines of latitude runs from East to West and extending from [tex]-90^\circ[/tex] to [tex]+90^\circ[/tex], they can be included in the domain.

Also, the degrees of latitude can be fractional units, positive units, or negative units. Therefore, the domain appropriate for this function is All the real numbers between [tex]\pm 90^\circ[/tex] including [tex]\pm 90^\circ[/tex].

Answer:

D = all real numbers between ± 90, inclusive

Step-by-step explanation:

Degrees of latitude can be fractional units, positive units, or negative units.

**If you are on USA Test prep, the correct answer choice should be D

What’s standard form of y=6x-4

Answers

Final answer:

To convert the slope-intercept form of a line, y = 6x - 4, to standard form, subtract 6x from both sides of the equation. The resulting standard form is -6x + y = -4.

Explanation:

You asked about writing the equation y = 6x - 4 in standard form. The standard form for the equation of a line in mathematics is usually given as Ax + By = C, where A, B, and C are constants, and A should ideally be a positive integer. To convert the given equation into standard form, we want to rearrange it so that both x and y are on the same side of the equation and the constant is on the other side.

Here are the steps to convert y = 6x - 4 to standard form:

Subtract 6x from both sides of the equation to obtain -6x + y = -4.If necessary, multiply the entire equation by -1 to ensure the coefficient of x is positive. However, since standard form can also accommodate a negative A (it's just not preferred), we can leave the equation as is.

Therefore, the standard form of the equation is -6x + y = -4.

Using synthetic division, what is the quotient (3x^3 + 4x − 32) ÷ (x − 2)?

Answers

Answer:

q1 = 3x^2 + 6x + 16

Step-by-step explanation:

2 || 3    0     4    -  32

           6    12       32

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

     3    6    16         0

q(x) + r(x)/(x - 2)

r(x) = 0

q(x) = 3x^2 + 6x + 16

This does not factor down any further unless you have take complex number. The only real root isw

x = 2

Just in case you have done complex numbers

x2 = -1 + 2.0817i

x3 = -1 - 2.0817i

if the discount is 30% and the sale price is $206.50 what is the original price

Answers

Final answer:

To determine the original price before a 30% discount resulted in a sale price of $206.50, we calculate the sale price as 70% of the original price, leading to the original price being $295.00.

Explanation:

If the discount is 30% and the sale price is $206.50, we need to determine the original price before the discount. To do this, we first understand that the sale price represents 70% of the original price, because a 30% discount has been applied. Thus, to find the original price, we can set up the following equation where original price × 70% = $206.50.

Converting 70% to decimal form, we get 0.70. The equation then becomes original price × 0.70 = $206.50. To find the original price, we divide both sides of the equation by 0.70:

Original price = $206.50 / 0.70

Original price = $295.00

Therefore, the original price of the item before the 30% discount was applied is $295.00.

Which of the following theorems states, “If a line divides two sides of a triangle proportionally, it is parallel to the third side.”? Triangle Proportionality Theorem Converse of the Triangle Proportionality Theorem Pythagorean Theorem Converse of the Pythagorean Theorem.

Answers

Answer:

Converse of triangle proportionality theorem

Step-by-step explanation:

We are given that in a triangle ABC, D and E are some points in AB and AC respectively.

D and E divide AB and AC such that

AD/DB =AE/DC

To prove that DE is parallel to third side BC>

This can be proved using converse of triangle proportionality theorem

REcollect the triangle proportionality theorem that

If a line is parallel to a side of a triangle which intersects the other sides into two distinct points, then the line divides those sides in proportion

So converse is is a line intersects the other sides make proportional intercepts then the line is parallel to the third side.

Answer:

The answer is Converse of the Pythagorean theorem

Step-by-step explanation:

pleaseeee helppp i keep getting the wrong so can somebody give me the correct answer

Answers

Answer: 39.25 miles per gallon.

Step-by-step explanation: To find miles per gallon, divide 314 miles by 8 gallons =

39.25 miles per gallon.


The answer is 39.25

note: if your teacher wants a fraction instead of a decimal, then it would be 157/4

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

Explanation:

Divide 314 over 8 to get 314/8 = 157/4 = 39.25

----

You can think of it as the ratio

314 miles: 8 gallons

(314/8) miles: (8/8) gallons <--- divide both parts by 8

(157/4) miles: 1 gallon

39.25 miles: 1 gallon

Meaning you can drive 39.25 miles on one gallon of gas

find tge slope and the y-Intercept 7x-9y=1

Answers

-9y=-7x+1
y=7/9x+1/-9

Slope is 7/9
Y into is 1/-9

Plz Help I do not understand this

Cain is about to start a new job and his opponent employer has offered him two different options to get paid. Option A gives Cain $20 to start plus an additional $10 an hour option b gives Kane $40 to start plus an additional $5 an hour. Define your variables then create a system of equations.

Define Variables:
x =______
y =______
Equations
Option A: ______
Option B: ______

Answers

Hello,

So Y variable is what you would start with.


20 <= he'll start off with for a

40 <= what he'll start off with for b




And X variables would be the # of hours you're working.


10 <= meaning every hour worked is worth 10 dollars

5 <= meaning every hour worked will be paid 5 dollars



So let's just say for option a he works two hours

(Option A)

10 (2) + 20

20 + 20

= 40


(Option B)

5 (2) + 40

10 + 40

50



As for your equations

Y = 10x + 40


Y= 5x + 40



Mr.Jimerson earns $24 per hour working. He qualifies for a 15% raise in salary. What is his salary after his raise?

Answers

(sorry if this is wrong but hope this helps)

ANSWER: $27.60

STEP BY STEP:

You have to multiply 24 by 15%. Start by changing 15% into a decimal of .15. Then multiply 24 by .15 to get an answer of $3.60. This is how much more Mr. Jimerson will earn. Then add the original amount he earned by the amount the is now gaining. This gets you $27.60.

Final answer:

Mr. Jimerson will earn $27.60 per hour after receiving a 15% raise on his original $24 per hour salary, resulting in a $3.60 increase per hour.

Explanation:

Mr. Jimerson earns $24 per hour working and qualifies for a 15% raise in salary. To calculate his new hourly salary after the raise, first determine the amount of the raise by finding 15% of his current hourly wage. Since 15% can be written as 0.15, we multiply his current wage by 0.15 to find the raise amount.

0.15 × $24 = $3.60

Next, add this raise amount to his original hourly wage to find his new salary:

$24 + $3.60 = $27.60 per hour

Therefore, Mr. Jimerson's salary after the raise will be $27.60 per hour.

How many solutions does the system of equations have ? Y= 6x +2 and 3y-18x=12

Answers

Answer:

0 solutions

Step-by-step explanation:

same slope, different y intercepts so they never intersect

Answer:

As both slopes are equal, and the values of b are different it means that the two lines are parallel and the system of equations does not have any solution. (Please see the picture below)

Step-by-step explanation:

1. First write the system of equations:

[tex]y=6x+2[/tex]

[tex]3y-18x=12[/tex]

2. Solve y for the second equation:

[tex]3y-18x=12[/tex]

[tex]3y=18x+12[/tex]

[tex]y=\frac{18x+12}{3}[/tex]

[tex]y=6x+4[/tex]

3. Re write both equations in the form y=mx+b, where m is the slope and b is the value of y when x=0 :

[tex]y=6x+2[/tex]

[tex]y=6x+4[/tex]

As both slopes are equal, and the values of b are different it means that the two lines are parallel and the system of equations does not have any solution.

The cheese club members bought 6 tickets to a tournament for $15 how much would they have paid if all 9 members wanted to go

Answers

First you have to find out the cost of the ticket. To do so you have to Divide 15  and 6. Which equals $2.50. So each ticket is $2.50 dollars. Now you have to multiple 2.50 times 9. which equals 22.5. So your total answer is $22.50 dollars

HELP PLEASE!!!!!!!!!!!!
Karen is using an indirect method to prove that segment DE is not parallel to segment BC in the triangle ABC shown below:


She starts with the assumption that segment DE is parallel to segment BC. Which inequality will she use to contradict the assumption?

A. 6:7 ≠ 2:7

B. 6:8 ≠ 7:10

C. 6:2 ≠ 7:10

D. 6:2 ≠ 3:2

Answers

Answer:

Option B

Step-by-step explanation:

In order to prove that segment DE is not parallel to segment BC, Karen takes an indirect way, that is she assumes that DE is parallel to BC, then by using the basic proportionality theorem,

[tex]\frac{AD}{AB}=\frac{AE}{AC}[/tex]

Now, AD=6, AB=AD+DB=8, AE=7 and AC=10

therefore, [tex]\frac{6}{8}=\frac{7}{10}[/tex] according to basic proportionality theorem, but in actual, [tex]\frac{6}{8}{\neq}\frac{7}{10}[/tex].

Thus, DE is not parallel to BC, therefore Option B is correct.

Answer:

B, 6:8 ≠ 7:10.

Step-by-step explanation:

what other information must be given in order to be able to prove the two triangles congruent by AAS

Answers

either the second or third. I think the third since the second can be proven with the given info, and then you just need to know another angle from each triangle is congruent. also, its worth knowing that it is also possible to prove similar triangles with just angle angle, since that would automatically make the last angles equal.

If one crate of apples weighs 85 pounds, how much less do 13 crates of apples weigh than 15 crates of apples?

Answers

15 crates of apples is two more than 13 crates of apples and each crate is 85 pounds, so the answer is 2*85= 170 pounds

The calculation shows that 13 crates weigh 170 pounds less than 15 crates.

To find out how much less 13 crates of apples weigh than 15 crates of apples, we need to first determine the weight of the two different amounts of crates.

We know that one crate weighs 85 pounds.

So, for 15 crates, we multiply 15 by 85 to get the total weight:

= 15 crates x 85 pounds per crate = 1275 pounds

Next, we calculate the weight for 13 crates:

= 13 crates x 85 pounds per crate = 1105 pounds

Now, we subtract the weight of 13 crates from the weight of 15 crates:

= 1275 pounds - 1105 pounds = 170 pounds

Therefore, 13 crates of apples weigh 170 pounds less than 15 crates of apples.

3(x−0.50)=5.97
what does x equal?

Answers

Answer:

x=2.49

Step-by-step explanation:

3(x−0.50)=5.97

Distribute the 3

3x - 3*.5 = 5.97

3x -1.5 = 5.97

Add 1.5 to each side

3x -1.5+1.5 = 5.97+1.5

3x = 7.47

Divide each side by 3

3x/3 = 7.47/3

x=2.49

Is 3x+12-2x equivalent to x +12? Use two properties of operations to justify your answer.

Answers

Answer:

Yes, x + 12

Step-by-step explanation:

Simplify the following:

3 x - 2 x + 12

Grouping like terms, 3 x - 2 x + 12 = (3 x - 2 x) + 12:

(3 x - 2 x) + 12

3 x - 2 x = x:

Answer: x + 12

Answer:

Yes, it is.

Step-by-step explanation:

3x + 12 - 2x =

Use the commutative property of addition to change the order of the addition.

= 12 + 3x - 2x

Use the distributive property of addition over multiplication in reverse (which is factoring).

= 12 + x(3 - 2)

Do the operation: 3 - 2 = 1

= 12 + x * 1

Simplify x * 1 to just x.

= 12 + x

Use the commutative property of addition.

= x + 12

There you have x + 12 from 3x + 12 - 2x by using properties and operations.

i am completely lost... Is this a direct variation or an inverse variation? Explain.

Answers

You get 5x=y. The larger the x, the larger the y. So, this is a direct variation.

An archaeologist at a dig sets up a coordinate system using string. Two similar artifacts are found—one at position (1,4) and the other at (5,2) how far apart were the two artifacts? Round to the nearest tenth of a unit if necessary

Answers

Answer:

aproximatley 6 units

Step-by-step explanation:


HELPP PLEASE I WILL CROWN YOU!!!!!
(Solve for X)
Please make sure it correct
Thank you

Answers

Answer:

x=9

Step-by-step explanation:

These two angles are equal because they are corresponding angles and the two lines are parallel.

13x-7 = 11x+11

Subtract 11x from each side

13x-11x -7 = 11x-11x+11

2x-7 = 11

Add 7 to each side

2x-7+7 = 11+7

2x = 18

Divide each side by 2

2x/2 = 18/2

x =9

Define perpendicular lines.

A.
Lines that cut across two or more lines.
B.
Two coplanar lines that intersect at a 90 degree angle.
C.
Two coplanar lines that do not intersect.
D.
Two non–coplanar lines that do not intersect


Answers

B.

Perpindicular line are lines that intersect at a 90 degree angle.Hope this helps!

Perpendicular lines are two coplanar lines that intersect at a 90-degree angle, option B in the question.

Perpendicular lines are defined as two coplanar lines that intersect at a 90 degree angle. This means that the correct answer to the given question is B. It's important to understand that when lines are perpendicular, they create four right angles at the point where they intersect. Various geometrical theorems relate to the properties of perpendicular lines, for example:

Theorem 15 states that if two planes are perpendicular, a line drawn in one perpendicular to their intersection is perpendicular to the other plane.

Theorem 14 explains that if a line is perpendicular to two intersecting lines at their intersection, it is perpendicular to all lines on their plane that pass through this point.

Theorem 11 describes that if two equal lines in a plane are erected perpendicular to a given line, the line joining their extremities will make equal angles with them.

In advanced contexts, such as the geometry of spacetime, perpendicularity can be defined differently, often using the concept of the dot product being zero to identify perpendicular vectors.

It takes 24 feet of fence to surround a square piece of land in Sam's backyard. Sam wants to plant flowers everywhere but on the diagonal sidewalk (shaded in the diagram attached). Note that there is 1 foot of sidewalk along two sides of the square as indicated in the diagram attached. What is the area of the sidewalk?

Answers

since you know the perimeter is 24, divide that by 4 to get 6 and that is the length of the sides. use that to find the areas of both triangles. the areas are 18 and 12.5. add those to get 30.5 and subtract that from 36 (the area of the whole square) to get 5.5, which is your answer

Answer:

Option B. 5.5 ft²

Step-by-step explanation:

Perimeter of the square piece of land = length of fence required

4(length of a side of the square) = 24 ft

Length of a side = 6 ft

Area of the square land = (Side)²

= 6²

= 36 square ft

Area of the side walk = Area of the square - [Area of two triangles separated by the sidewalk]

= 36 - [[tex]\frac{1}{2}(\text{Area of the square})+\frac{1}{2}(\text{Base})\tmes (\text{height})[/tex]]

= 36 - [[tex]\frac{36}{2}+\frac{1}{2}(6-1)(6-1)[/tex]]

= 36 - (18 + 12.5)

= 36 - 30.5

= 5.5 ft²

Therefore, Option B. is the correct answer.

Solve: -6x-1+5x^2=8x^2

Answers

Answer:

[tex]x_{1} = -1 - \sqrt{\frac{2}{3}}  ; x_{2} = -1 +\sqrt{\frac{2}{3}}[/tex]

Step-by-step explanation:

-6x -1 + 5x² = 8x²     Move all terms to the right-hand side

0 = 8x² - 5x² + 6x +1     Combine like terms

3x² + 6x + 1 = 0

Apply the quadratic formula

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

a = 3; b = 6; y = 1

[tex]x = \frac{-6\pm\sqrt{6^2 - 4\times 3 \times1}}{2\times 3}[/tex]

[tex]x = \frac{-6\pm\sqrt{36-12}}{6}[/tex]

[tex]x = \frac{-6\pm\sqrt{24}}{6}[/tex]

[tex]x = \frac{-6\pm \sqrt{4\times6}}{6}[/tex]

[tex]x = \frac{-6\pm 2\sqrt{2}}{6}[/tex]

[tex]x = -1 \pm \sqrt{\frac{2}{3}}[/tex]

[tex]x_{1} = -1 +\sqrt{\frac{{2}}{3}}; x_{2} = 1 -\sqrt{\frac{{2}}{3}}[/tex]

The graph below shows the roots at x₁ =-1.816 and x₂ = -0.184.

f(x) = -3x^2 + 6x. Find f(2).

Answers

Answer:

f(2) = 0

Step-by-step explanation:

Evaluate the function at x = 2.

f(x) = -3x^2 + 6x

f(2) = -3(2^2) + 6 * 2

f(2) = -3(4) + 12

f(2) = 0

A 5 pound bag of potatoes cost $3.40 what is the cost per pound

Answers

It would be $0.68.

To find it, divide the cost by the weight. So, the equation would be 3.40/5 or 3.40 divided by 5.



The cost per pound of potato would be $0.68.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We are given that  5 pound bag of potatoes cost $3.40

Then the cost per pound of potato .

We have to divide the cost by the weight.

So, the equation would be;

3.40 divided by 5.

3.40/5 = 0.68

The cost per pound of potato would be $0.68.

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

prove that sin3a-cos3a/sina+cosa=2sin2a-1

Answers

Answer:

[tex]\frac{sin(3a)-cos(3a)}{sin(a)+cos(a)} =2sin(2a)-1[/tex]

Step-by-step explanation:

we are given

[tex]\frac{sin(3a)-cos(3a)}{sin(a)+cos(a)} =2sin(2a)-1[/tex]

we can simplify left side and make it equal to right side

we can use trig identity

[tex]sin(3a)=3sin(a)-4sin^3(a)[/tex]

[tex]cos(3a)=4cos^3(a)-3cos(a)[/tex]

now, we can plug values

[tex]\frac{(3sin(a)-4sin^3(a))-(4cos^3(a)-3cos(a))}{sin(a)+cos(a)} [/tex]

now, we can simplify

[tex]\frac{3sin(a)-4sin^3(a)-4cos^3(a)+3cos(a)}{sin(a)+cos(a)} [/tex]

[tex]\frac{3sin(a)+3cos(a)-4sin^3(a)-4cos^3(a)}{sin(a)+cos(a)} [/tex]

[tex]\frac{3(sin(a)+cos(a))-4(sin^3(a)+cos^3(a))}{sin(a)+cos(a)} [/tex]

now, we can factor it

[tex]\frac{3(sin(a)+cos(a))-4(sin(a)+cos(a))(sin^2(a)+cos^2(a)-sin(a)cos(a)}{sin(a)+cos(a)} [/tex]

[tex]\frac{(sin(a)+cos(a))[3-4(sin^2(a)+cos^2(a)-sin(a)cos(a)]}{sin(a)+cos(a)} [/tex]

we can use trig identity

[tex]sin^2(a)+cos^2(a)=1[/tex]

[tex]\frac{(sin(a)+cos(a))[3-4(1-sin(a)cos(a)]}{sin(a)+cos(a)} [/tex]

we can cancel terms

[tex]=3-4(1-sin(a)cos(a))[/tex]

now, we can simplify it further

[tex]=3-4+4sin(a)cos(a))[/tex]

[tex]=-1+4sin(a)cos(a))[/tex]

[tex]=4sin(a)cos(a)-1[/tex]

[tex]=2\times 2sin(a)cos(a)-1[/tex]

now, we can use trig identity

[tex]2sin(a)cos(a)=sin(2a)[/tex]

we can replace it

[tex]=2sin(2a)-1[/tex]

so,

[tex]\frac{sin(3a)-cos(3a)}{sin(a)+cos(a)} =2sin(2a)-1[/tex]


Answer:

To prove : sin(3a)-cos(3a)/sin(a)+cos(a) = 2sin(2a)-1                                      

Step-by-step explanation:

\frac{\sin3a-\cos3a}{\sin a+\cos a}=2\sin 2a-1\\\cos3a=4\cos^{3}a-3\cos a\\\sin 3a=3\sin a-4\sin ^{3}a\\substituting the value, we get\\L.H.S= \frac{3\sin a-4\sin ^{3}a-[4\cos ^{3}a-3\cos a]}{\sin a+\cos a}\\\frac{3(\sin a+\cos a)-4(\sin ^{3}a+4\cos ^{3}a)}{\sin a+\cos a}\\\frac{3(\sin a+\cos a)-4[(\cos a+\sin a)(\cos ^{2}a+\sin ^{2}a-\sin a\cos a)]}{\sin a+\cos a}\\\frac{3(\sin a+\cos a)-4[(\cos a+\sin a)(1-\sin a\cos a)]}{\sin a+\cos a}\\\frac{(\sin a+\cos a)[3-4(1-\sin a\cos a)]}{\sin a+\cos a}\\\frac{(\sin a+\cos a)[3-4+4\sin a\cos a]}{\sin a+\cos a}\\\frac{(\sin a+\cos a)(-1+4\sin a\cos a)}{\sin a+\cos a}\\-1+4\sin a\cos a\\-1+2\sin 2a\\2\sin 2a-1=R.H.S

Since, sin(2a)= 2sin(a)cos(a)

2sin(2a)= 4sin(a)cos(a)



Suppose Mina and two of her friends go to the movies.write an expression that could be used to find the total cost for them to go to the movies and buy one of each item. what is the total cost for all three people?

Answers

Answer:

3x = t and it costs 15 dollars in total with x = 5.

Step-by-step explanation:

The 3 represents her friends and x represents the cost of one ticket. The variable t represents the total cost or tickets. If x equals 5, then it would be 15 because of 3x.  

Hope it helps :)

Answer:$52.50

Step-by-step explanation:

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Seasonal variation on Earth is due to the A) revolution of Earth on its axis. B) elliptical path the Sun takes around the Earth. C) tilt of the Earth's axis of rotation. D) distance of Earth from the sun at any given time. What is the place value of 5 in 5.36 Which paragraph of the speech contains two counterarguments? A. paragraph 7 B. paragraph 5 C. paragraph 4 D. paragraph 6from Remarks at the Dedication of the Aerospace Medical Health Center by John F. Kennedy Which statement about Clep exam score reports is accurate (organized audience, concerted audience, passive audience, pedestrian audience, selected audience)1.a group bound by the same goals as the speaker 2. a group that fully agrees with the speaker and his message 3. a group that is required to sit together and listen to a speaker 4. a group that spontaneously forms to listen to a speaker but shares no goals in common 5. a group bound by common interests but not necessarily those of the speaker Why was the Bill of Rights added to the Constitution? A: To deny the British any rights B: To outline the rights of individuals C: To explain the rights of the court system D: to declare the government right to war The Petition of Right and the Magna Carta ranked in importance on an equal basis for the rights of Englishmen.A.TrueB.False You can buy 3 apples at the Quick Market for $1.29.You can buy 5 of the same apples from the Stop and Save for $2.50.Which place is the better buy? 2) In order to generate electricity from mechanical energy, one essential element needed to transform the energy into electrical energy is What decision did the Allies make about the future of Germany at the Yalta Conference? A. They would destroy Germanys ability to manufacture goods and trade with other nations. B. They would give western Germany to France and eastern Germany to the Netherlands. C. They would create homes and jobs for displaced persons in Germany. D. They would temporarily divide Germany among the Allies in order to help rebuild it. Read the myth of Hero and Leander and answer the question that follows. Leander was a youth of Abydos, a town of the Asian side of the strait [narrow ocean channel] which separates Asia and Europe. On the opposite shore, in the town of Sestos, lived the maiden Hero, a priestess of Venus. Leander loved her, and used to swim the strait nightly to enjoy the company of his mistress, guided by a torch which she reared upon the tower for the purpose. But one night a tempest arose and the sea was rough; his strength failed, and he was drowned. The waves bore his body to the European shore, where Hero became aware of his death, and in her despair cast herself down from the tower into the sea and perished. Source: Bulfinch, Thomas. "Hero and Leander." Project Gutenberg. Project Gutenberg, 27 Mar. 2002. Web. 25 Feb. 2011. Which situational archetype fits this story best? the Test the Quest the Star-Crossed Lovers the Initiation a number m plus 4 is greater than or equal to 7 Where are most of the warring Sioux at this time A road construction crew paves 1/5 mile every day. How much would they pave in 2 days? Mr. Moore needs to share 4 ounces of red among 5 art student's. How much red paint will each student receive? During the Civil War, the Union navy write the pair of fractions as a part of fractions with a common denominator 1/4 and 2/3 Bill has a swiming pool that holds 7,500,00 milliliters of water he needs to have his pool treated and the company he hired wants to know how many liters his pool has how can bill solve this Qu vas a llevar al concierto? _____ llevar mi suter nuevo.Question 12 options:PensamosPiensoPiensanPiensas Vint is testing ceiling fans in a factory. For one of the tests, he switches the fan on, and after it attains a maximum speed of 500 rotations per minute (rpm), he switches the fan back off, recording the amount of time it takes for the fan to completely stop spinning. The given equation models Vint's test, where x represents time in seconds and y represents the speed in rotations per minute. The equation has been graphed as shown. Assuming that the test was complete when the fan stopped spinning completely, how long was the test? A. 100 seconds B. 10 seconds C. 20 seconds D. 500 seconds Steam Workshop Downloader