I NEED HELP PLEASE, THANKS! :)

I NEED HELP PLEASE, THANKS! :)

Answers

Answer 1

Answer:  see below

Step-by-step explanation:

[tex]sin\ \theta=\dfrac{y}{r}=\dfrac{84}{85}\qquad \qquad \text{Quadrant I implies both x and y are positive}\\\\\\\\\text{Use Pythagorean Theorem to find x:}\\x^2+\ y^2=r^2\\x^2+84^2=85^2\\x^2\qquad =85^2-84^2\\x^2\qquad =169\\.\qquad x =13\\[/tex]

Input x = 13, y = 84, r = 85 into the trig functions:

[tex]\sin\ \theta=\dfrac{y}{r}=\large\boxed{\dfrac{84}{85}}\qquad \qquad \qquad \csc \theta=\dfrac{r}{y}=\large\boxed{\dfrac{85}{84}}\\\\\\\\\cos\ \theta=\dfrac{x}{r}=\large\boxed{\dfrac{13}{85}}\qquad \qquad \qquad \sec \theta=\dfrac{r}{x}=\large\boxed{\dfrac{85}{13}}\\\\\\\\\tan\ \theta=\dfrac{y}{x}=\large\boxed{\dfrac{84}{13}}\qquad \qquad \qquad \cot \theta=\dfrac{x}{y}=\large\boxed{\dfrac{13}{84}}[/tex]


Related Questions

can someone please help me? ASAP

Answers

Answer:

A

Step-by-step explanation:

3^5 x 3^4

=3^5 + 4

=3^9

so the answer is option A

Help with math pls...

Answers

Answer: Option C

Step-by-step explanation: When we count all bases of the squares present

in the triangle,( do not count the number of boxes just the base of the squares) we notice that all of them covers 4 base of the squares, except option c where it covers 5 bases.

Write the equation of a circle with a center at (-2, 1) and passes through
the point (0, 2). ​

Answers

Answer:

[tex](x+2)^2} +(y-1)^2}=5[/tex]

Step-by-step explanation:

[tex](x-h)^2} +(y-k)^2}=r^2[/tex]

r=[tex]\sqrt{5}[/tex]

h=-2

k=1

Plug in

[tex](x+2)^2} +(y-1)^2}=5[/tex]

round the number 2.72603 to 2 decimal places

Answers

Answer:

2.73

Step-by-step explanation:

2.72(6)03

use 6= 2.73

Can someone help me with this question please................

Answers

Answer:

x = 36°

Step-by-step explanation:

Sine = opposite / hypotenuse

Cosine = adjacent / hypotenuse

Tangent = opposite / adjacent

Sine is viable here since opposite and hypotenuse are given.

sin x = 13 / 22

x = sin⁻¹ (13 / 22)

x = 36.2 ≈ 36

Answer:

x ≈ 36.2°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{13}{22}[/tex] , thus

x = [tex]sin^{-1}[/tex] ([tex]\frac{13}{22}[/tex] ) ≈ 36.2° ( to 1 dec. place )

what is the equation of the graph that represents the parent function f(x)=x^4 stretched vertically by a factor of 2, and then shifted left 3 spaces

Answers

Answer:

f(x) = 2(x+3)^4

Step-by-step explanation:

I graphed the functions on the graph below so you can see how I got my answer.

Answer:

g(x)=2x^4+3

Step-by-step explanation:

Draw the graphs of the lines below on the same grid to find the coordinates of the point of intersection. y = 3 x − 4 y = 1/ 2x + 1

Answers

Answer:

the point of intersection would be (2,2)

The point of intersection is at (2, 2)

A linear equation is given by:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

Given the line with equations:

y = 3 x − 4  and y = 1/ 2x + 1

Plotting the graphs using geogebra online tool, the point of intersection is at (2, 2)

Find out more at: https://brainly.com/question/13911928

The table represents the average daily price of a two-bedroom beachfront condo each month, with January represented as month 1, February as month 2, and so on. Month (x) Daily Rental Price (y) 1 $154 2 $205 3 $266 4 $358 5 $403 6 $425 7 $437 8 $430 9 $381 10 $285 11 $211 12 $195 Use the graphing tool to determine the curve of best fit for this data. Write the equation of the curve in the space below.

Answers

Answer:

y = - 9.1768x2 + 122.2567x + 14.9091

Step-by-step explanation:

Given the following :

Month (x) Daily Rental Price (y) 1 $154 2 $205 3 $266 4 $358 5 $403 6 $425 7 $437 8 $430 9 $381 10 $285 11 $211 12 $195

Using the online regression equation graphing tool ; The quadratic model obtained in the form,

y = Ax^2 + Bx + C is :

y = - 9.1768x2 + 122.2567x + 14.9091

Attached below is a picture of the quadratic regression curve.

Pls help ima give BRAINLIST and a like

Answers

Answer:

the letter in the green box should be 3.

i believe the full equation should be y= -3/2 x+1

Step-by-step explanation:

the y side keeps decreasing by 1 1/2 which in improper fraction form is -3/2. the x side keeps increasing by 1.

A shop keeper has offered an item for sale. Its label price is Rs . It is not sold in one-month period and after one month its label price is reduced by 20%. Again after 2 months its reduced price is further reduced by 10% and then sold it for Rs 15000. Find the value of x

Answers

Answer:

x = Rs 20,833.33

the value of x is Rs 20,833.33

Step-by-step explanation:

Let x,y and z represent the price of the item initially, after one month and after two months respectively.

Given that;

after one month its label price is reduced by 20%

y = x - 20% of x

y = x - 0.20x

y = 0.80x ........1

after 2 months its reduced price is further reduced by 10% and then sold it for Rs 15000.

z = y - 10% of y

z = y - 0.10y

z = 0.90y ........2

Substituting equation 1 into 2;

z = 0.90(0.80x)

z = 0.72x

Also z = Rs 15000

So,

z = 0.72x = Rs 15000

0.72x = Rs 15000

x = Rs 15000/0.72

x = Rs 20833.33333333

x = Rs 20,833.33

the value of x is Rs 20,833.33

Adita has two options for how to invest $1,000. Plan A: Put the $1,000 in an account that pays $100 per year. Plan B: Put the $1,000 in an account that pays 5 percent interest per year. Which statement is true? Plan A will be worth more than plan B after two years. Plan A will be worth the same amount as plan B after one year. Plan B will be worth more than plan A after three years. Plan B will be worth more than plan A after four years.

Answers

Answer:

Plan A = 1000 dollars to be invested in an account that pays 100 dollars per year. (1000 + 100 = 1100 dollars in a year)

Plab B = 1000 dollars to be invested in an account that pays 5% interests per year  (1000 * .05 = 50 => 1000 + 50 = 1050 dollars per year)

The correct answer is Plan A will be worth more than plan B after two years.

Step-by-step explanation:

Plan A = 1000 dollars to be invested in an account that pays 100 dollars per year. (1000 + 100 = 1100 dollars in a year)

Plab B = 1000 dollars to be invested in an account that pays 5% interests per year  (1000 * .05 = 50 => 1000 + 50 = 1050 dollars per year)

Plan A will be worth more than plan B after two years.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Now, WE get;

For Plan A,

1000 dollars to be invested in an account that pays 100 dollars per year.

Hence, We get;

(1000 + 100 = 1100 dollars in a year

For Plan B;

1000 dollars to be invested in an account that pays 5% interests per year

So, WE get;

(1000 x 0.05 = 50

Hence, Total in a year,

= 1000 + 50

= 1050 dollars per year)

Thus, the correct answer is,

⇒ Plan A will be worth more than plan B after two years.

Learn more about the multiplication visit:

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Check all that apply please!

Answers

Answer:

C. Scalene

F. Obtuse

Step-by-step explanation:

The triangle is scalene because all 3 sides are different lengths.

The triangle is obtuse because 1 angle is bigger than 90° (132°).

Answer:

scalene

obtuse

Step-by-step explanation:

All the sides are different length, so it is a scalene triangle

The 132 degree angle is greater than 90 degrees and less than 180 so it is obtuse

What is the sum of the exterior angles of a
14-gon?

Answers

Answer:

360 degrees

Step-by-step explanation:

The sum of all exterior angles in any convex polygon is 360 degrees.

Answer:

360 degrees.

Step-by-step explanation:

The sum of exterior angles of every polygon is 360 degrees so the What is the sum of the exterior angles of a 14-gon is also equal to 360 degrees.

factor 49x8−16y14 please answer as quick as possible

Answers

Answer:

(4y7+7x4)(−4y7+7x4)

Step by Step:

Factor 49x8−16y14

−16y14+49x8

=(4y7+7x4)(−4y7+7x4)

The factor of the expression 49x⁸ − 16y¹⁴ is (7x⁴ - 4y⁷) and (7x⁴ + 4y⁷) after using the identity.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

49x⁸ − 16y¹⁴

As we know the polynomial identity:

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

a² - b² = (a - b)(a + b)

The expression 49x⁸ − 16y¹⁴ can be written as:

= (7x⁴)² − (4y⁷)²

After using the identity: a² - b² = (a - b)(a + b)

= (7x⁴ - 4y⁷)(7x⁴ + 4y⁷)

Thus, the factor of the expression 49x⁸ − 16y¹⁴ is (7x⁴ - 4y⁷) and (7x⁴ + 4y⁷) after using the identity.

Learn more about the expression here:

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A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 47.0 and 52.0 minutes. Find the probability that a given class period runs between 50.25 and 51.0 minutes.

Answers

Answer:

0.15 or 15%

Step-by-step explanation:

Since lengths are uniformly distributed, the probability that a class period runs between a two exact times is:

[tex]P(x_1\leq x \leq x_2)=\frac{x_2-x_1}{b-a}[/tex]

In this case, a = 47.0 and b = 52.0 minutes.

The probability that a given class period runs between 50.25 and 51.0 minutes is:

[tex]P(50.25\leq x \leq 51.0)=\frac{51.0-50.25}{52-47} \\P(50.25\leq x \leq 51.0)=0.15=15\%[/tex]

The probability is 0.15 or 15%.

Delia, Edwin and Freya share some money in the ratio 5 : 7 : 8. Freya’s share is £1600. How much money did they share?

Answers

Answer:

To find how much money they shared first find the total parts

Which is

5 + 7 + 8 = 20

Deila's share is

5 /20 × £1600

= 1/4 × £1600 = £ 400

Edwin's share is

7/ 20 ×£1600 = £560

Freya's share is

8/20 × £1600

= 2/5 × £1600 = £640

Hope this helps you

Answer:

£ 40,000

Step-by-step explanation:

Given that:

Freya receives 8 parts of the total amount

8 parts = £1600

this means, we can calculate 1 part:

8 parts  = £1600

1 part =£1600/8 = £ 2000

Now, we are able to calculate the total share :

Total number of parts = 8 + 5 + 7 = 20

1 share = £2000

So, 20 shares = £40000

hope this helps,

Good Luck

Please mark brainiest

I need some help on this

Answers

Answer: The answer is B

Step-by-step explanation:

Answer:

Option B is correct

Step-by-step explanation:

cos (3pi/4) = -cos(pi - 3pi/4) = -cos(pi/4) = -sqrt(2)/2

=> Option B is correct

evaluate the function for the given value: f(x)=2x (to the power of 2) -5x-17, find f(-3)

Answers

Answer:

f(-3) = 16

Step-by-step explanation:

You substitute -3 to x.

f(-3) = 2(-3)² - 5(-3) - 17

f(-3) = 16.

As for the coordinates, the coordinates plotted in the graph above are (1,-1) and (2,-2).

Answer:

16

Step-by-step explanation:

2x² - 5x - 17

Put x as -3 and solve.

2(-3)² - 5(-3) - 17

2(9) - (-15) - 17

18 + 15 - 17

= 16

Please answer this in two minutes

Answers

Answer:

D. 1800°

Step-by-step explanation:

The given polygon has 12 sides.

The formula for finding the sum of the interior angles of an n-sided polygon is given as, ( n − 2 ) × 180.

Where n is the number of sides of the polygon.

Thus, the sum of the interior angles of the 12 sided polygon given above is:

(12 - 2) × 180

= 10 × 180 = 1800°

Sum of the measures of the interior angles of the 12-sided polygon is D. 1800°

What is the measure of angle N in parallelogram LMNO? *

20
30
40
50​

Answers

Answer:

∠ N = 40°

Step-by-step explanation:

The opposite angles of a parallelogram are congruent, thus

∠ L = ∠ N , substitute values

3x - 20 = 2x ( subtract 2x from both sides )

x - 20 = 0 ( add 20 to both sides )

x = 20

Thus

∠ N = 2x = 2(20) = 40°

From the given quadrilateral, the value of angle N is 40°

Data;

N = 2xL= 3x - 20

Opposite Angles in a Parallelogram

Opposite angles in a parallelogram are equal to each other.

[tex]N = L\\2x = 3x - 20\\3x- 2x = 20\\x = 20[/tex]

The value of x is equal to 20.

Let's substitute that into N

[tex]N = 2x \\N = 2(20)\\N = 40^0[/tex]

The value of angle N is 40°

Learn more on parallelogram here;

https://brainly.com/question/24056495

The sum of two numbers is 26. The sum of their squares is a minimum. Find the numbers. ​

Answers

Answer:

The numbers at 13 and 13

Step-by-step explanation:

The two numbers in question are equal, and if their sum is 26, then they must be 13 and 13.

The two numbers are (13, 13).

Given that,

The sum of the two numbers is 26.

And the sum of their square is minimum.

We have to determine,

The two numbers are.

According to the question,

Let, the first number be x,  

and the second number be y.

The sum of the two numbers is 26.

[tex]x + y = 26[/tex]

And The sum of their squares is a minimum.

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

Solving both the equation,

[tex]x + y = 26\\\\x = 26-y[/tex]

Substitute the value of x in equation 2,

[tex]x^2 + y^2 = h\\\\(y-26)^2 + y^2 = h \\\\y^2 + 676 -52y + y^2 = h\\\\2y^2 -52y + (676-h) = 0[/tex]

Then, The vertex of the parabola is,

[tex]\dfrac{-b}{2a} = \dfrac{-(-52)}{2(2)} = \dfrac{52}{4} = 13[/tex]

The minimum value of the parabola is 13, which is also the sum of squares.

Therefore, The two number is x = 13 and y =13.

To know more about Parabola click the link given below.

https://brainly.com/question/4074088

A new soup recipe contains 33 percent less sodium per serving than the old soup recipe. The old soup recipe contained x milligrams of sodium per serving. Which of the following expressions could represent the amount of sodium per serving, in milligrams, in the new soup recipe?

Answers

Answer:

The expressions that could represent the amount of sodium per serving, in milligrams, in the new soup recipe is y = 0.67x.

Step-by-step explanation:

We are given that a new soup recipe contains 33 percent less sodium per serving than the old soup recipe. The old soup recipe contained x milligrams of sodium per serving.

Let the amount of sodium per serving, in milligrams, in the new soup recipe be 'y' and the amount of sodium per serving, in milligrams, in the old soup recipe is given to us as 'x'.

So, according to the question, the condition states that;

A new soup recipe contains 33 percent less sodium per serving than the old soup recipe, that means;

                      [tex]y = x- 33\% \text{ of } x[/tex]

                      [tex]y = x- \frac{33}{100} \times x[/tex]

                      [tex]y = \frac{100x - 33x}{100}[/tex]

                      [tex]y = \frac{67x}{100}[/tex]

                      y = 0.67x

Hence, the expressions that could represent the amount of sodium per serving, in milligrams, in the new soup recipe is y = 0.67x.

WILL MARK BRAINLIEST ANSWER ASAP

Answers

Answer:

1. 1/3 and -6/1,-3/1

2. -4 and -4h+20

3.-6/1 and  2-6/1j

plz mark brainliest

you told you would

HELP ASAP PLEASE!! BRAINLIEST!!!

Answers

Answer:

y = -4x + 11

D is correct

Step-by-step explanation:

Write in slope - intercept form, y = mx + b.

Hope this helps :)

Answer:

D, y=-4x+11

Step-by-step explanation:

To find the correct one, you first need to make sure you know the slope, you do this by using this formula

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

-9-19/5--2 you get

-28/7 which simplifies to

-4

We now know the slope is -4 so it has to be A, C or D

To find the y-intercept, I use an online site called desmos.

Hope this helps, if you have any questions, feel free to ask.

Have a good day! :)

Line segment AB¯¯¯¯¯¯¯¯ has endpoints A(−2,6) and B(4,−6). What are the coordinates of the point that partitions BA¯¯¯¯¯¯¯¯ according to the part-to-part ratio 2:4? Enter your answer as an ordered pair, formatted like this: (42, 53)

Answers

Answer:

(2, -2) are the coordinates of the point which divides BA into ration 2:4.

Step-by-step explanation:

The given two co-ordinates of A are (-2, 6) and B is (4, -6).

Let P be the point that divides the line BA into ratio 2:4.

to find coordinates of a point P on the line segment BA dividing it in a ratio 2:4, we can use segment formula.

[tex]x = \dfrac{mx_{2}+nx_{1}}{m+n}\\y = \dfrac{my_{2}+ny_{1}}{m+n}[/tex]

Where (x,y) is the co-ordinate of the point P which  

divides the line segment joining the points [tex](x_{1}, y_{1}) and (x_{2}, y_{2})[/tex] in the ratio m:n.

Please refer to the attached image.

As per the given values :

[tex]x_{1} = 4\\x_{2} = -2\\y_{1} = -6\\y_{2} = 6\\[/tex]

Putting the given values in above formula :

x-co-ordinate of P:

[tex]x = \dfrac{4 \times 4 -2 \times 2}{4+2}\\\Rightarrow \dfrac{12}{6}\\\Rightarrow x = 2[/tex]

y-co-ordinate of P :

[tex]y = \dfrac{4 \times -6 +2 \times 6}{4+2}\\\Rightarrow \dfrac{-24+12}{6}\\\Rightarrow \dfrac{-12}{6}\\\Rightarrow y = -2[/tex]

So, answer is P(2, -2).


Nate borrowed $400 to pay for car repairs. If he agreed to repay the loan at a simple annual interest rate of 6%, how much interest will he owe at the end of 2 years?

Answers

Answer:

$48

Step-by-step explanation:

$400/24=16

16/6=2

2x24=$48

Answer:

I believe the answer will be $48 dollars

Step-by-step explanation:

Hopefully this helps. see ya later!!!!!

If f(x) is differentiable for the closed interval [-1, 4] such that f(-1) = -3 and f(4) = 12, then there exists a value c, -1 < c < 4 such that: A) f'(c) = 3 B) f'(c) = 0 C) f(c) = -15 D) f(c) = 3

Answers

Answer:

  A)  f'(c) = 3

Step-by-step explanation:

The mean value theorem says that if f(x) is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), then there exists some c such that ...

  a < c < b

  f'(c) = (f(b) -f(a))/(b -a)

__

We are told that f(x) is differentiable on the closed interval [-1, 4], so we know it meets the requirements of the mean value theorem. Then we can conclude that there is some c such that ...

  f'(c) = (12 -(-3))/(4 -(-1)) = 15/5

  f'(c) = 3 . . . . for some c in the interval -1 < c < 4

what is the sum of the values of x that are solutions to the equation x^2 - 10x - 22 = 2 ? a. -12 b. -10 c. -2 d. 2 e. 10

Answers

Answer:

[tex]x = 2, 12[/tex]

Your correct answer is D, since I don't see a -12.

Step 1: Subtracting 2 from both sides

Since we have to find the value of x, we have to factor the equation. To do so, we first have to subtract the two from both sides of the equation so all the values are on one side of the equation.

[tex]x^2-10x-22(-2)=2(-2)\\x^2-10x-24=0[/tex]

Step 2: Factoring the equation

Part 1

After subtracting 2 from both sides of the equation, we have to factor the polynomial to be able to get it into two sets of parentheses, so in order to do that, we will ignore the equal sign and the 0 for now. We are now left with:

[tex]x^2-10x-24\\[/tex]

First, we find the multiples of the first term, [tex]x^2\\[/tex], and the last term, -24. Since there is an invisible 1 before the first term, we are basically finding the multiples of [tex]1x^2[/tex], which is [tex]1x[/tex] and [tex]1x[/tex], or x and x. Now we have to find the correct set of numbers for -24. Do do that, we have to make sure that when we multiply the first set of numbers (x, x) with the second set (?, ?) and add them together, then we would get the number in the middle (-10x). So: Two of the most obvious multiples for 24 are 6 and 4, 12 and 2, and 3 and 8. But, this is a negative 24, so we have to work ahead to find out which pair we use first. If we multiply 8 and 3 with x and x, we get 8x and 3x. When we add them together, we do not get 10x, but instead, we get 11x, so it is the wrong pair. If we do the same thing to 6 and 4, we would get 10x, but since 24 is negative, it is not correct because we would need one of the numbers to be negative. In this case, they equal to 10x, but one of the numbers would have to be negative because (if 6 was the negative):

[tex]-6 * 4=-24\\[/tex]

But:

[tex]4-6\neq 10\\[/tex]

So this is not the correct set either. Our last set is 12 and 2, and when we multiply by x (12x and 2x) and we set one of the numbers to be a negative (-12) and subtract them, we get -10x, so, therefore, this is the correct number pair.

[tex]-12*2=-24\\2-12=-10[/tex]

Part 2

With all that done, we now have to factor the numbers. We take the first numbers (x and x), and we place them in front of each of the two parentheses.

[tex](x,?)(x,?)[/tex]

Now, we place -12 and 2 in those places.

[tex](x,-12)(x,2)[/tex]

To find x, we have to plug in the equal sign and 0 from the beginning.

[tex](x,-12)(x,2)=0[/tex]

Since they both have to equal to 0, then that means there would be two different answers because, for example: 12 - 12 = 0, but 12 - 2 ≠ 0.

To find both solutions, we treat the numbers in each of the parentheses as its own equation, and we solve it from there.

x - 12 = 0

12 - 12 = 0

x - 2 = 0

2 - 2 = 0

12 and 2 are our solutions! Hope this helps :)

Answer:

12  and 2

Step-by-step explanation:

factor the euqation x^2-10x-22=2 and you get (x,-12)(x,2)=0 and when you solve that you get 12 and 2

Can any one please help me I really need help please help me please help me thank you

Answers

Answer:

Step-by-step explanation:

a) 500,000+300,000+150000+80000+0.02x+0.03x+0.08x=1030000+0.13x

b)1030000*(0.13*200)=26780000

there are two different power : power and exponent

exponent :    5⋅5⋅5=5^3

power 4^2 it is read as 4 to the second power or 4 squared 4 ∙ 4

"Like terms" are terms whose variables are the same example : x,7x,2x tey all have the same variable x

i hope it helps

In an arena, each row has 199 seats. One day, 1990 students are coming to attend a soccer match. It is only known that at most 39 students are from the same school. If students from the same school must sit in the same row, determine the minimum number of rows that must be reserved for these students.

Answers

Answer: 10 rows

Step-by-step explanation:

Given:

Seats on each row = 199.

Population of student attending = 1990.

no of students from same school = 39.

Therefore;

If the students from same school must seat in same row determine the number of rows that most be reserved for these students.

1. At most 39 students from same school

= total population of all students/ students from same school

= 1990 / 39

= 51 schools would be attending the event

2. No of students a row can accommodate

= Seats on each row / no of students from each school

= 199/39

= 5

3. No of rows to that most be reserved

= 51 / 5

= 10

So 10 rows must be reserved.

Other Questions
Use a calculator to find the correlation coefficient of the data set. PLEASE HELP! a mathematics lesson started at 9:45 am and ended at 11:15 am how long did it last What was the main point of the Military Reconstruction Act of 1867? What is a unit rate? (-2,-11);slope=4 write the equation of the line What do you think the algae offer that the fungi cant do What is technical writing? A. Writing that is focused on a narrow subject or topic that can be researched or studied B. Writing that explains a specific topic without showing the authors opinion or feelings C. Writing that uses facts or evidence in order to support the thoughts or opinions of the author D. Writing that provides instructions or explains complicated things and processes The graph of y = 1/2 x2 + 2x + 3 is shown. What are the solutions to the equation 1/2 x2 + 2x + 3 = x + 7? In Rain Myths, "The Chinese Rain-Master and "The Madagascan Myth both feature rewards for good behavior. penalties for bad behavior. family values. origin stories. Today, most species are in _____. Read the following excerpt from The Objections of theHon. George Mason to the Proposed FederalConstitution: Addressed to the Citizens of Virginia,written in 1787Based on the excerpt, what does George Mason thinkthe Constitution would need to better protect citizens?a bill of rightsThere is no declaration of rights: and the laws of thegeneral government being paramount to the laws andconstitutions of the several states, the declarations ofrights, in the separate states, are no securityA. a bill of rightsB. a congressC. a presidentD. a military Can a catalyst change an exothermic reaction into an endothermic reaction or vice versa? Please explain your answer. how is weather useful to our body? Read the excerpt from chapter 6 of Animal Farm. Afterwards Squealer made a round of the farm and set the animals minds at rest. He assured them that the resolution against engaging in trade and using money had never been passed, or even suggested. It was pure imagination, probably traceable in the beginning to lies circulated by Snowball. A few animals still felt faintly doubtful, but Squealer asked them shrewdly, "Are you certain that this is not something that you have dreamed, comrades? Have you any record of such a resolution? Is it written down anywhere? Which statement best explains how the pacing in this passage helps reveal Squealers character? The quickening pace builds suspense about Squealers next course of action. The quickening pace shows how Squealer is similar to Snowball. The foreshadowing shows that Snowball and Squealer are actually very different. The slowing pace shows how Squealer controls the animals with propaganda. Apply t-test to the following data sets and compare it with the value of u=4. Identify the test and find the critical value and state the conclusion a) 2 3 4 5 6 7 b) 1 2 2 5 5 7 A department store chain is expanding into a new market, and is considering 13 different sites on which to locate 5 stores. Assuming that each site is equally likely to be chosen, in how many ways can the sites for the new stores be selected? Accrued Product Warranty Fosters Manufacturing Co. warrants its products for one year. The estimated product warranty is 3% of sales. Assume that sales were $211,000 for January. On February 7, a customer received warranty repairs requiring $170 of parts and $70 of labor. a. Journalize the adjusting entry required at January 31, the end of the first month of the current fiscal year, to record the accrued product warranty. If an amount box does not require an entry, leave it blank. b. Journalize the entry to record the warranty work provided in February. If an amount box does not require an entry, leave it blank. The company calculates that 500 g of titanium dioxide should produce 1.2 kg of titanium chloride. However, the company finds that 500 g of titanium dioxide only produces 900 g of titanium chloride. Calculate the percentage yield. In pea plants, purple flower color, C, is dominant to white flower color, c. The table shows the frequencies of the dominant and recessive alleles in three generations of peas in a garden. Generation 1 has 200 flowers, generation 2 has 400, and generation 3 has 400. Allele Frequency for Flower Color in Peas Generation p q 1 0.5 0.5 2 0.6 0.4 3 0.7 0.3 Which best describes the number of flowers? Generation 1 has more white flowers than generation 2. Generation 3 has more white flowers than generation 2. Generation 2 has fewer purple flowers than generation 1. Generation 1 has fewer purple flowers than generation 3. ALGEBRA Identify the similar triangles. Then find each measure.FGSG6R4TF10HARST - AFGHFG = 11ARST - AFGHFG = 14ARST - AFGH FG = 15ARST- AFGH FG = 18