Mathematics High School

Which of the following is an identity? A. sin2x sec2x + 1 = tan2x csc2x B. sin2x - cos2x = 1 C. (cscx + cotx)2 = 1 D. csc2x + cot2x = 1



Edit: no one answered but I figured out that the right answer is A

Answers

Answer 1
There are three 'Pythagorean' identities that we can look at and they are

sin²(x) + cos²(x) = 1
tan²(x) + 1 = sec²(x) 
1 + cot²(x) = csc²(x)

We can start by checking each option to see which one would give us any of the 'Pythagorean' identities as its simplest form

Option A:

sin²(x) sec²(x) + 1 = tan²(x) csc²(x)

Rewriting sec²(x) as 1/cos²(x)
Rewriting tan²(x) as sin²(x)/cos²(x)
Rewriting csc²(x) as 1/sin²(x)

We have

[tex]sin^{2}(x)[ \frac{1}{ cos^{2}(x) }]+1=[ \frac{ sin^{2}( x)}{ cos^{2} (x)}][ \frac{1}{ sin^{2}(x) } ][/tex]
[tex] [\frac{ sin^{2}(x) }{ cos^{2}(x) } ]+1= \frac{1}{ cos^{2}(x) } [/tex]
[tex] tan^{2}(x)+1= sec^{2}(x) [/tex]

Option B:

sin²(x) - cos²(x) = 1

This expression is already in the simplest form, cannot be simplified further

Option C:

[ csc(x) + cot(x) ]² = 1

Rewriting csc(x) as 1/sin(x)
Rewriting cot(x) as cos(x)/sin(x)

We have

[tex][ \frac{1}{sin(x)}+ \frac{cos(x)}{sin(x)}] ^{2} =1[/tex]
[tex] \frac{1}{sin^2(x)}+2( \frac{1}{sin(x)})( \frac{cos(x)}{sin(x)})+ \frac{cos^2(x)}{sin^2(x)}=1 [/tex][tex]csc^2(x)+2csc^2(x)cos(x)+cot^2(x)=1[/tex]

Option D:

csc²(x) + cot²(x) = 1

Rewriting csc²(x) as 1/sin²(x) and cot²(x) as cos²(x)/sin²(x)

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

from our working out we can see that option A simplified into one of 'Pythagorean' identities, hence the correct answer
Answer 2

Answer: A is the correct answer.

Step-by-step explanation:

Just did the question, followed OP's advice since no one answered. Good luck.

Related Questions

Which of the following graphs best represents the solution to the pair of equations below? y = −x + 6 y = 2x − 3 A coordinate plane is shown with two lines graphed. One line passes through the y axis at 6 and through the x axis at 6. The other line passes through the y axis at negative 3 and the x axis at 1.5. The lines intersect at the point 3 comma 3. A coordinate plane is shown with two lines graphed. One line passes through the y axis at 6 and the x axis at 6. The other line passes through the y axis at 3 and the x axis at negative 1.5. The lines intersect at 1 comma 5. A coordinate plane is shown with two lines graphed. One line passes through the y axis at 6 and the x axis at negative 6. The other line passes through the y axis at negative 3 and the x axis at negative 1.5. The lines intersect at negative 3 and 3. A coordinate plane is shown with two lines graphed. One line passes through the y axis at 6 and the x axis at negative 6. The other line passes through the y axis at 3 and the x axis at 1.5. The lines intersect at negative 1 comma 5.

Answers

The lines are 

i)  y=-x+6
ii) y=2x-3

The solution of the system of equations is found by equalizing the 2 equations:

-x+6=2x-3

-2x-x=-6-3

-3x=-9

x=-9/(-3)=3

substitute x=3 in either i) or ii):

i)  y=-3+6=3
ii) y=2(3)-3=6-3=3

(the result is the same, so checking one is enough)

This means that the point (3, 3) is a point which is in both lines, so a solution to the system.

In graphs, this means that the lines intersect at (3, 3) ONLY


Answer: The graph where the lines intersect at (3, 3)

The point of intersection of the lines  y = −x + 6 and y = 2x − 3 is (3, 3)

Linear function

A linear function is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the y intercept.

Given the equations:

y = −x + 6    (1)

y = 2x − 3      (2)

Solving the equations 1 and 2 simultaneously gives:

x = 3, y = 3

The point of intersection of the lines  y = −x + 6 and y = 2x − 3 is (3, 3)

Find out more on Linear function at: https://brainly.com/question/2248255

Which of the numbers listed below are solutions to the equation? Check all that apply. x2 = -36 A. 6 B. 1296 C. 18.0 D. 72 E. -6 F. None of these

Answers

When x^2 = -36, so -36 equals to x when squared.

So, to find the x square root both terms. But you can't. Why? Because we have a negative number, and you can't do the sqrt of a negative number. So, none of the above is the answer. Non-solvable

Where are the x-intercepts for f(x) = −4cos(x − pi over 2) from x = 0 to x = 2π? (?

Answers

consider the function [tex]f(x)=-4cos(x- \frac{ \pi }{2})[/tex]

the x-intercepts of the graph of f, are the zeros of f, that is the solutions of f(x)=0.

so we solve 

[tex]-4cos(x- \frac{ \pi }{2})=0[/tex]

[tex]cos(x- \frac{ \pi }{2})=0[/tex]

at this point we ask ourselves, keeping the unit circle in mind, "cosine of what is 0?"

In the unit circle, from 0 to 2π radians,

cos 90° = cos (π/2) rad = 0

and

cos 270° = cos (3π/2) rad = 0

this means that 

i)
[tex]x- \frac{ \pi }{2}= \frac{ \pi }{2}[/tex]

[tex]x= \pi [/tex]

and 

ii)
[tex]x- \frac{ \pi }{2}= 3\frac{ \pi }{2} [/tex]

[tex]x=3\frac{ \pi }{2} +\frac{ \pi }{2}=2 \pi [/tex]

ii) also, check that [tex]f(0)=-4cos(0- \frac{ \pi }{2})=-4cos(-\frac{ \pi }{2})[/tex] is also 0, because cos (-pi/2)= cos (-90°)=cos 270°=0


Answer: 

x=0, x=π, and x=2π

In a restaurant there are 3 choices for appetizers, 6 choices for entrees, and 4 choices for desserts. How many different meal choices are there if you were to have 1 appetizer, 1 entree, and 1 dessert?
24
72
13
18

Answers

The correct answer is B. 72 because you can multiply 3*6*4 to represent every combination possible.

How to divide fractions with whole numbers

Answers

To divide fractions with whole numbers, write the whole number as a fraction, then it should be more solveable
To divide fraction with whole number write the whole number as a fraction like write 2 as 2/1. 


Hope this helps.

WILL MAKE BRAINLIEST!!! A triangular section of a lawn will be converted to river rock instead of grass. Maurice insists that the only way to find a missing side length is to use the Law of Cosines. Johanna exclaims, that only the Law of Sines will be useful. Describe a scenario where Maurice is correct, a scenario where Johanna is correct, and a scenario where both laws are able to be used. Use complete sentences and example measurements when necessary.

Answers

Let's consider the triangle ABC shown in the first diagram below. We name the sides with small letters: a, b, and c. We name the angles by the capital letters A, B, and C. Side a pairs with angle A° which are opposite each other. The same with side b and angle B° and side c and angle C°.

We can use the cosine rule when we know the length of two sides and the angle opposite the side that is unknown. For example, referring to the second diagram, we know the length of side a and side b and we are looking for the length of side c. We also know the angle that is located on the opposite of side c, then to solve this we can use the cosine rule

c² = a² + b² - 2ab(cos(C°))

The third diagram shows a scenario when sine rule can be used. Say we need the length of the side c. We know the length of side a, the size of angle A° and angle C° then we can use the sine rule

[tex] \frac{c}{sin(C)} = \frac{a}{sin(A)} [/tex]

We can also use sine rule if we know length of side b and the size of angle B° instead of side a and angle A°





posting a screenshot my loves

Answers

(x-blank)^2 because -14 is negative 

For (x-7)^2, we have -7 because it's -14/7. Next, 7^2=49, so we have to add 49 to the right, getting (x-7)^2+43=49. Subtract 43 from both sides to get
 (x-7)^2=6, and square root both sides to get x-7=sqrt(6) and add 7 to both sides to get x=sqrt(6)+7, which is approximately 9.45. I challenge you to do the next one on your own, using the techniques stated here :)

What's an equation for "Six more then twice a number is 72?"

Answers

the equation would be:

2x+6 = 72

2n + 6 = 72 <== ur equation

Helppppp! Which answer choice correctly describes the relationship between two of the lines in the figure?

Answers

I would have to say that it is the 3rd answer choice due to the right angle that is formed between line C and line A. 
The correct answer is:  [C]:   " а ⊥ с " .
_____________________________________________________________
Take note of the "right angle" — which indicates that "a" is perpendicular to "c" .
_____________________________________________________________

I NEED THIS ANSWER NOWWWW PICTURE ATTACHED



Which system of inequalities is represented by the graph?

y ≤ 3x
y > –2x – 1
y > 3x
y ≤ –2x – 1
y < –3x
y ≥ 2x – 1
y > –3x
y ≤ 2x – 1

Answers

So first, you need to notice the blue line is y = 2x, and the other one is y = -2x - 1

For the purple area, let's choose a point (1,0), which is in the area. 

For y = 2x -> 2 >0, so the inequality will be y ≤2x

For y = -2x - 1 -> -3 < 0, so the inequality will be y ≥ -2x - 1

You can use the similar approach to find other area representations







3/5x+19−3/20x−7/35x+19−3/20x−7 simplified is

Answers

Final answer:

To simplify the expression, combine like terms and then simplify to get (1/4)x+24.

Explanation:

To simplify the expression, 3/5x+19−3/20x−7/35x+19−3/20x−7, we can combine like terms and then simplify:

Combine 3/5x−3/20x−7/35x to get (3/5−3/20−7/35)x = (12/20−3/20−4/20)x = (5/20)x = (1/4)x.Combine 19+19 to get 38.Combine −7−7 to get −14.Combine the results: (1/4)x+38−14 = (1/4)x+24.

So, the simplified expression is (1/4)x+24.

Use the given graph to determine the limit, if it exists. A coordinate graph is shown with a downward sloped line crossing the y axis at two that ends at the open point 2, 1.3, a closed point at 2, -1, and an upward sloped line starting at the open point 2, 4. Find = limit as x approaches two from the right of f of x..

Answers

Answer: The right hand limit is 4

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

Start on the right side of the value x = 2. In other words, start at some value larger than 2, say x = 4. Starting at x = 4, move closer to x = 2. Move as close as you can. The closer x gets to 2, the closer y gets to 4. You'll never actually get to x = 2 or y = 4 because of the hole. However, the right-hand limiting value is 4 assuming you can keep getting closer and closer. 

Note: if you approach x = 2 from the left side, you arrive at a different y value So this suggests that overall, the limit at x = 2 doesn't exist. But the right hand limit (RHL) does exist as described above.

Angie baked 100 cookies and 20 brownies. She wants to  split them into equal groups  for the big sale. Each group must have the same number of cookies and brownies, with none left over. What is the greatest number of groups she can make? Angie baked 100 cookies and 20 brownies. She wants to  split them into equal groups  for the big sale. Each group must have the same number of cookies and brownies, with none left over. What is the greatest number of groups she can make? Angie baked 100 cookies and 20 brownies. She wants to  split them into equal groups  for the big sale. Each group must have the same number of cookies and brownies, with none left over. What is the greatest number of groups she can make? 

Answers

stop copying the question, it's confusing

so 100 cookies and 20 brownies
what is the greatest number you can divide them both by?

find the GCF
factor them
100=2*2*5*5
20=2*2*5
so the GCF is the common group to both or 2*2*5 or 20

100/20=5
20/20=1

there are 20 groups, each wit 5 cookies and 1 brownie


20 groups

What is the answer to

-18= 117/p-9

Answers

-18 = 117/(p-9)
(p-9)(-18) = 117
p-9 = 117/-18
p = (117/-18) +9
p = 2.5
Hey there!

So here are the steps you need to follow to get the answer!

-18 = 117/(p - 9)
-18(p - 9) = 117    ----->  multiply "(p - 9)" on both sides
-18p + 162 = 117   ------>  distribute the "-18"
-18p = -45  ------>  subtract "162" on both sides
p = 2.5   ------>  divide "-18" on both sides

I hope this helps! :D

Please vote me for Brainliest if there is a second answer!!!

[tex]-2y + y - 3 = 6
[/tex]

Answers

Combine like terms. -2y+y=-y. The equation is now -y-3=6. You need to get the y by itself so add 3 to both sides. The equation is now -y=9. You are solving for y so divide both sides by -1. The equation will be y=-9. The answer is y=-9. Hope this helps! ;)

Solve the equation using square roots. x^2-15=34

Answers

Hello there!

First, let's take a look at our equation.
[tex] x^{2} [/tex] - 15 = 34
We need to isolate x^2 to completely square root both sides properly, so let's do so.
Add 15 to both sides to isolate [tex] x^{2} [/tex].

We are now left with:
[tex] x^{2} [/tex] = 49
Now, square root both sides.
[tex] \sqrt{x^2} [/tex] = x
[tex] \sqrt{49} [/tex] = 7

We are now left with the solution:
x = 7

I hope this helps!
X^2-15=34 add 15 to both sides
X^2=49 square both sides
X=7

The graph shows the location of Jacob's, Kent's, and Hakim's houses. Each unit on the graph represents 1 kilometer. A coordinate plane is shown. Hakims house is located at negative 3, 1, Jacobs house is located at 1, 5, and Kents house is located at 1, 1. Line segments connect the points to form a right triangle.

Answers

The distance between any two points is:

d^2=(x2-x1)^2+(y2-y1)^2  so in this case we have:

d^2=(5-1)^2+(1-3)^2,  d^2=(1-5)^2+(1-1)^2, d^2=(1-3)^2+(1-1)^2

d^2=(16+4), d^2=16, d^2=4

So the total distance or perimeter, p, is:

p=√20+√16+√4

p=√20+4+2

p=6+√20 km (exact)

p≈10.47 km (to nearest hundredth of a kilometer)



Answer:

14 km

Step-by-step explanation:

I did FLVS

The graph represents the piecewise function

Answers

left equatoin seems to be x is less than or equal to -1
the slope seems to be 2 and y intercep tis -1 so 2x-1


right equation is x is greater than or equal to 1
slope is 1 and y intercept is 4 so x+4




top left blank is x+4, top right blank is x is greater than or equal to 1
bottom left blank is 2x-1, bottom right blank is x is less than or equal to -1
Answer:

Hence, we have:

        f(x)= 2x-1   when  x ≤ -1

                x+4    when  x ≥ 1

Step-by-step explanation:After looking at the graph we observe that in the region:  x ≤ -1

The graph is a straight line that passes through (-1,-3) and (-2,-5)

Hence, the equation of line is:

[tex]f(x)-(-3)=\dfrac{-5-(-3)}{-2-(-1)}\times (x-(-1))\\\\\\f(x)+3=\dfrac{-5+3}{-2+1}\times (x+1)\\\\\\f(x)+3=2(x+1)\\\\\\f(x)=2x+2-3\\\\\\f(x)=2x-1[/tex]

Also, in the interval  x ≥ 1

The graph is a straight line that passes through (1,5) and (2,6)

Hence, the equation of line is:

 [tex]f(x)-5=\dfrac{6-5}{2-1}\times (x-1)\\\\\\f(x)-5=x-1\\\\\\f(x)=x-1+5\\\\\\f(x)=x+4[/tex]


Find the area of a rectangular almond orchard that is 200 yards long and 100 yards wide.
300 square yards
2100 square yards
2000 square yards
20000 square yards

Answers

A = L * W
A = 200 * 100
A = 20,000 square yards

what is the smallest positive integer that is divisible by each of the integers from 3 to 7, inclusive

Answers

The integers from 3 to 7, inclusive are:

{3, 4, 5, 6, 7}

these numbers can be written as multiplication of prime factors as :

{3, 2*2, 5, 2*3, 7}

The smallest common multiple of these numbers must have factors which divide all the factors of these 5 numbers.

So the multiple must have these factors: 3, 2*2 (one two is not enough to divide 4), 5 and 7. We do not need to write 2 and three again, because we already have them.

so the smallest common multiple is 3*2*2*5*7=420


Answer: 420

There are 325 students in ping pong club. There are 5 girls for every 7 boys in the club. Which is the correct proportion that can be used to determine the number of girls in the club?

Answers

It is 5 to 7 people eliminating A and C automatically. and because it is 5 to 7 and not 7 to 5 it eliminates B too.

Answer: D

Hope this helps :)
Please give brainliest
Final answer:

To find the number of girls in the club, you can set up a proportion using the given information. Cross-multiply the proportion and solve for the number of girls. The approximate number of girls in the club is 232.

Explanation:

To determine the number of girls in the club, we can set up a proportion using the given information. Since there are 5 girls for every 7 boys in the club, the proportion can be written as:

Girls/Boys = 5/7

To find the number of girls, we can solve the proportion by cross-multiplying:

Girls = (5/7) * Total Number of Students

Substituting the given total number of students as 325, we can calculate the number of girls in the club as:

Girls = (5/7) * 325

Girls = 232.14

Therefore, there are approximately 232 girls in the ping pong club.

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What is the graph of x = -5?

Answers

hello: 
the graph is the line parralle of axis- y passing by the point : (-5 , 0 ) 

If the problem is 7+(-5) how many spaces do you move to the right or left

Answers

Start at seven and move 5 spaces to the left.

Addition of a negative is the same as subtraction.

The length of a rectangle is twice its width. if the perimeter of the rectangle is 36 cm , find its area.

Answers

L = Length
W = Width

L x W = area
Length = 2w

Lets find the width by solving for w.
2w + w = 36 
3w = 36
3w/3 = 36 / 3 
w = 12

So
L = 2 x 12 = 24
W = 12
L X W = area
24 x 12 = 288 cm^2

In a horse​ race, how many different finishes among the first 33 places are possible if 20 horses20 horses are​ running? (exclude​ ties)

Answers

To solve this problem, let us break this down one by one.

There are 20 possible horses that could win in first place. Therefore this means that for each of these possibilities, there are now 19 horses that could come in second. So meaning there are 20 x 19 possible combinations for the first 2 places. 

20 x 19 = 380. And for each of those combinations, there are also 18 possible horses that could come in the third place. So

20 x 19 x 18 = 6,840 

There are 6,840 possible horse combinations for the first 3 places in the race. 

"It was you who awoke me last summer out of a life-long stupid dream" write the conclusion for this quote

Answers

The person that "awoke [the author]" helped change the authors life around and helped him find the purpose for his life

hope this helps

What is the slope of this line y + 3 = -4(x - 5)?

Answers

y+3= -4x+20
y=-4x+17

Final answer: Slope=-4

Just a side note: This is written in point slope form or y-y1= m(x-x1). You could just look at the m value to find slope.

It takes an older employee 13 hours to shovel the snow from a sidewalk, but a younger employee can shovel the same sidewalk in 10 hours. how long will it take them to clear the walk if they work together?

Answers

Time taken by both of the older employee and younger employee is 5.6 hrs

What is Componendo-dividendo rule?

Componendo-dividendo rule: A theorem based on the topic of proportions permits a faster way to carry out the calculations and cut down the count of expansions required. It is helpful in situations involving equations with fractions or rational functions. The componendo and dividendo rule are used while studying ratios and proportions. If the ratio of any two given numbers is the same as the ratio of the other 2 numbers, then the ratios of the sum total of the numerator and denominator to the difference of the numerator and denominator of the two rational numbers are equal in nature.

Given, older employee needs 13 hours to shovel the snow.

So in 1 hr the older employee will shovel = 1/13

Younger employee needs 10 hours to shovel the snow.

So in 1 hr the younger employee will shovel = 1/10

Now, when they work together

[tex]1/13+1/10 = 1/x \\(10+13)/130 = 1/x \\3/130 = 1/x\\x = 130/23 = 5.6 hrs[/tex]

Hence, the time taken by both of them together is 5.6 hrs

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Final answer:

Two employees working together can clear the sidewalk in approximately 6 hours and 31 minutes. This is determined by finding the individual work rates, combining them, and then taking the reciprocal of the combined rate to find the total time worked together.

Explanation:

To find out how long it will take two employees to shovel snow together, we need to determine their combined work rate. The older employee takes 13 hours, and the younger employee takes 10 hours. First, we calculate each of their work rates per hour by taking the reciprocal of their time.

So, the older employee's work rate is 1/13 sidewalks per hour and the younger employee's 1/10 sidewalks per hour. To find their combined work rate, we add these two rates together:

Combined work rate = (1/13) + (1/10) = (10 + 13) / (13 × 10) = 23/130 sidewalks per hour

Now, to find the total time taken to shovel the sidewalk when working together, we take the reciprocal of the combined work rate:

Time taken working together = 1 / (23/130) = 130/23 hours

To make this more interpretable, we can convert it into a mixed number:

Time taken working together = 5 hours and (130/23 - 5 × 23/23) hours = 5 hours and 35/23 hours

We can convert 35/23 hours into minutes by multiplying by 60:

Additional minutes = (35/23) × 60 minutes = approximately 91 minutes

Therefore, the time taken working together is roughly 5 hours and 91 minutes, which simplifies to 6 hours and 31 minutes.

Find an equation for the nth term of the arithmetic sequence.

a15 = -53, a16 = -5

A) an = -725 - 48(n - 1)
B) an = -725 + 48(n + 1)
C) an = -725 + 48(n - 1)
D) an = -725 - 48(n + 1)

Answers

an=a1+d(n-1)

every term increases by d amount

so [tex]a_n+d=a_{n+1}[/tex]
therefor
[tex]a_{15}+d=a_{15+1}=a_{16}[/tex]

-53+d=-5
add 53 both sides
d=48

alright
an=a1+d(n-1)
an=a1+48(n-1)
use a15=-53
a15=-53=a1+48(15-1)
-53=a1+48(14)
-53=a1+672
minus 672 both sides
-725=a1

the equation is
an=-725+48(n-1)
answer is C

What is the factorization of the polynomial below?

x^3-4x^2+45x

Answers

The method of factorization is used to find the roots of a given polynomial. Roots are the solutions of the function. Graphically, these roots are where the curve passes the x-axis. The first step to do is to find the common factor of the equation. That would be x. So you place it outside of the parenthesis.

x³-4x²+45x = x(x² - 4x + 45)

If you solve the quadratic equation inside the parenthesis using the quadratic formula, the roots are imaginary. Therefore, the quadratic equation is already a prime polynomial. 

The final answer is x(x² - 4x + 45).
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The probability of winning on a split bet in a specific game of roulette is 1 19. Find the actual odds in favor of winning on the bet. Which statement is an example of a moralA.lying is the opposite of honesty.B.lies comeback to haunt youC.honesty is always the best policyD.lee admitted he lied to his mom What were two direct results of US Commodore Matthew Perrys 1853s voyage to Tokyo Bay?the Russo-Japanese Warthe opening of two Japanese ports to foreign tradethe establishment of feudalism in Japanthe creation of a US consulate in Japan Why didn't george washington sign the declaration? Known to be an integral part of green living inc., rhonda lloyd worked as a renewable energy campaigner for nine years in a remote region of indonesia. what kind of knowledge represents her understanding of the dynamics of village communities and the apprehensions of the locals? Which of these was an effort by the Soviet Union to push the rest of the Allies out of East Germany?the Warsaw Pact the Berlin Blockade the Dumbarton Oaks Conference the Strategic Arms Limitation Treaty Which expression is equivalent to the given expression? 100pts giveaway 3x(1.05) 3x + 3x + 3x 1.05x + 1.05x + 1.05x x + 3.15 1.05x + 3 Identify the government wellness program that provides assistance to mothers with children up to age five.Child and Adult Care Food ProgramSchool Lunch ProgramWomen, Infants, and ChildrenFood Stamps Program Which of the following best describes Spain under Isabella and Ferdinand? A tolerant of different religions B culturally diverse C free from internal struggles The trouble is, of course, that they put up that sign saying what flavors they have, with little cardboard inserts to put in or take out flavors, way back when they first opened the store. But they never change the sign or not often enough. They always have flavors that aren't on the list, and often they don't have flavors that are on the list. Children know thiswhether innately or from earlier experience it would be hard to say. What is the main idea of this passage from "How to Eat an Ice-Cream Cone"? What was the purpose of the "Double V" campaign?To fight racism at home and abroadTo fight unfair price and wage controlsTo fight the Nazis and the JapaneseTo fight government regulations of the FEPC Given the image below, which statement is true?A.The Maya, Aztec, Olmec, and Inca civilizations were the only American empires able to fight off European colonizers.B.The early civilizations of the Americas were unaided by nearby geographic features.C.All early American civilizations flourished nearby each other.D.The modern-day distribution of Native Americans actually reflects the locations of ancient civilizations. A carnot engine rejects 80 mj of energy every hour by transferring heat to areservoir at 10c. determine the temperature of the high-temperature reservoir and the power produced if the rate of energy addition is 40 kw. Read the sentence. the winter, _____ was long and brutal, seemed to last forever. which word best completes the sentence? that those itself which Mark wants to know how many families in his neighborhood plan to attend the neighborhood party. he puts all 80 of neighborhood addresses in a hat and draws a random sample of 20 addresses. He then asked those families if they plan to attend the party he finds that 20% of the family is planning to attend the party. He claims that 20% of the neighborhood families would be expected to attend the party is this a valid inference ???????explain why. Corinne has a job selling magazines. She earns $7.50 per hour plus 20% of the total amount of her sales. She also gets an allowance of $40 per week for gas. She knows her weekly earnings can be shown using the following expression: 7.50h + 0.20s + 40 Part A: Identify a coefficient, a variable, and a constant in this expression. (3 points) Part B: If Corinne works for 25 hours and sells $300 in magazines, how much does she earn for the week? Show your work to receive full credit. (4 points) Part C: If Corinne gets a raise and begins earning $9 per hour, would the coefficient, variable, or constant in the equation change? Why? (3 points) (10 points) A bridge builder wants to know the width of a river. He stands at point A along the river. He picks a point C directly across the river. He then walks downstream 90 feet from point A to point B. From point B, he sites C and determines the angle between the bank and point C (), to be 43. What is the width of the river? A considerable amount of heat is required for the decomposition of aluminum oxide. 2 al2o3(s) 4 al(s) + 3 o2(g) h = 3352 kj (a) what is the heat change for the formation of 1 mol of aluminum oxide from its elements? If pentagon OPQRS is dilated by a scale factor of seven over four from the origin, to create O'P'Q'R'S', what is the ordered pair of point P'? which of the following are attributed to linnaeus? Steam Workshop Downloader