Plz help me with this

Plz Help Me With This

Answers

Answer 1

Answer: [tex]\bold{C)\quad y=2sin(x+\dfrac{3\pi}{4})}[/tex]

Step-by-step explanation:

A sin graph is a cosine graph shifted to the left [tex]\dfrac{\pi}{2}[/tex] units.

[tex]y=2cos(x + \dfrac{\pi}{4})\qquad \implies y=2sin(x+\dfrac{\pi}{4}+\dfrac{\pi}{2})\\\\\\.\qquad \qquad \qquad \qquad \quad \implies \large\boxed{y=2sin(x+\dfrac{3\pi}{4})}[/tex]


Related Questions

if ∠OLN =31° and ∠MLO=52°, what is ∠MLN?
21°, 22°, 25°, 26°​

Answers

Answer:

∠MLN = 21°

Step-by-step explanation:

∠MLN = ∠MLO - ∠OLN = 52° - 31° = 21°

4th grade math and idk how to do it!!!

Answers

The answer would be 4/10.

3/10 + 4/10 = 7/10

Answer:

[tex]\frac{4}{10}[/tex] or when it's simplified [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

[tex]\frac{7}{10} - \frac{3}{10}=\frac{4}{10}=\frac{2}{5}[/tex]

$580 at 2% interest over 6 months

Answers

Answer:

$499.8

Step-by-step explanation:

Principal=$580

Time=6 months=1/2 year

rate=2% p.a.

prt=580*2*1

   ---------------

     2*100

=$499.80

Answer:  

Simple Interest over the given time interval will be $5.80

Step-by-step explanation:

Principal Amount = $580

Rate of Interest = 2%

                          = 0.02

Time = 6 months

        = 0.5 years

Now, Simple Interest is given by the formula :

Simple Interest = Principal × Rate × Time

⇒ Simple Interest = 580 × 0.02 × 0.5

⇒ Simple Interest = $5.80

Thus, Simple Interest over the given time interval will be $5.80

How do you evaluate -10 to the second power?

Answers

Answer:

100.

Step-by-step explanation:

( -10 )^ 2 = ( -10 )( -10 ).( -10 )( -10 ) = 100.

These are all of the steps to completely and correctly solve this question.

Hope this helps!!!

Kyle.

combine the like terms in the following 5y-2x+6+4x+8y-2​

Answers

Answer:

2x+13y+4

Step-by-step explanation:

So what you want to do is, take 8y multiple that by 2 which is 16y. Then you take 16y and 5y add those together which is 21y.your gonna do the same thing with 4x and -2x which is 2x.and then bring down the 6. Answer(2x+21y+6)

A gym membership cost $19 each month. If Miss Lacey joins the gym for one year, will she pay more or less than $190? Explain your answer

Answers

Answer: more then 190

Step-by-step explanation:

if you multiply $19 by 12 (12 months in a year) you get $228

Miss Lacey will have to pay more than $190 for the gym membership.

What is multiplication?

A product is the result of the multiplication, an expression that identifies factors to be multiplied.

How to  calculate gym membership fees?

Miss Lacey is paying $19 p.m for the gym membership fees. So she will have to pay for one year =19*12 because there are 12 months in a year.

=218

which is greater than $218.

Hence Miss Lacey will have to pay more than $190 for the gym membership fees.

Learn more about multiplication at https://brainly.com/question/10873737

#SPJ2

simplify the expression 4u/ 25u

Answers

Answer:

Answer is 6.23u because ,

For this case we must simplify the following expression:

[tex]\frac {4u} {25u} =[/tex]

We must cancel similar terms of the numerator and denominator:

[tex]\frac {4} {25} =[/tex]

The decimal form of the expression is obtained by replacing the values in a calculator:

[tex]\frac {4} {25} = 0.16[/tex]

ANswer:

0.16

Which determinants can be used to solve for x and y in the system of linear equations below?

Answers

Answer:

The right answer is the first answer

Step-by-step explanation:

Look to the attached file

Answer:

The correct answer option is A. [tex]|A|=\begin{vmatrix}-3 &2 \\ 4&-15 \end{vmatrix}\\\\\\|A_{x}|=\begin{vmatrix}-9 &2 \\ -25 &-15 \end{vmatrix}\\\\\\|A_{y}|=\begin{vmatrix}-3 &-9 \\ 4 &-25\end{vmatrix}[/tex].

Step-by-step explanation:

We are given the following system of linear equations:

[tex]-3x+2y=-9[/tex]

[tex]4x-15y=-25[/tex]

We can create a matrix  AX = b where A is a 2×2 matrix created by the coefficients of x and y and b is a 2×1 matrix formed by the term after equality.

So the correct answer option is:

[tex]|A|=\begin{vmatrix}-3 &2 \\ 4&-15 \end{vmatrix}\\\\\\|A_{x}|=\begin{vmatrix}-9 &2 \\ -25 &-15 \end{vmatrix}\\\\\\|A_{y}|=\begin{vmatrix}-3 &-9 \\ 4 &-25\end{vmatrix}[/tex]

Use the example above and determine the fraction of total interest paid. After the seventh month of a 12-month loan: the numerator is: {(n + 11) + (n + 10) + (n + 9) + (n + 8) + (n + 7) + (n + 6) + (n + 5)} = , and the denominator is: {(n) + (n + 1) + ... + (n + 11)} = . Therefore, the fraction is numerator/denominator (to the nearest tenth) =

Answers

Answer:

Step-by-step explanation:

Determine the fraction of total interest owed.

After the seventh month of a 12-month loan,

the numerator is: {(n + 11) + (n + 10) + (n + 9) + (n + 8) + (n + 7) + (n + 6) + (n + 5)} =  

(63)

, and

the denominator is: {(n) + (n + 1) + ... + (n + 11)} =  

(78)

.

Therefore, the fraction is numerator/denominator (to the nearest tenth) =  

(80.8) %.

Final answer:

To determine the fraction of total interest paid after the seventh month of a 12-month loan, find the numerator and denominator, calculate the sums, and divide them.

Explanation:

To determine the fraction of total interest paid after the seventh month of a 12-month loan, we need to find the numerator and denominator of the fraction. The numerator is given by the sum of all the amounts owed in the previous months, while the denominator is the sum of all the amounts owed for the entire loan term.

In this case, the numerator is {(n + 11) + (n + 10) + (n + 9) + (n + 8) + (n + 7) + (n + 6) + (n + 5)}, and the denominator is {(n) + (n + 1) + ... + (n + 11)}. Simply calculate these sums and then divide the numerator by the denominator to obtain the fraction of total interest paid.

For example, if n = 100, the numerator would be {(100 + 11) + (100 + 10) + (100 + 9) + (100 + 8) + (100 + 7) + (100 + 6) + (100 + 5)} and the denominator would be {(100) + (100 + 1) + ... + (100 + 11)}. Once you have the numerator and denominator, divide them to get the fraction, which can be represented as a decimal to the nearest tenth.

Learn more about Fraction of Total Interest here:

https://brainly.com/question/14237603

#SPJ3

Enrollment in French class at a high school is 0.72 of enrollment in Spanish class. What is enrollment in French class compared to Spanish class as a fraction and as a percent?

Answers

Final answer:

The enrollment in the French class compared to the Spanish class is 18/25 as a fraction and 72% as a percent.

Explanation:

To find the enrollment in the French class compared to the Spanish class as a fraction, we need to use the information given that enrollment in French class is 0.72 of enrollment in Spanish class. This means that for every 1 student in the Spanish class, there are 0.72 students in the French class.

To represent this as a fraction, we can write it as 0.72/1 or simply 72/100. Simplifying this fraction gives us 18/25.

To find the enrollment in the French class compared to the Spanish class as a percent, we can convert the fraction 18/25 to a percent. To do this, we divide 18 by 25 and multiply by 100. This gives us 72%.

What is the approximate area of the figure?




86.9 square centimeters

137.1 square centimeters

162.2 square centimeters

212.5 square centimeters

Answers

Answer:

137.1

Step-by-step explanation:

Add the area of the semicircle to the area of the rectangle. The area of the semicircle is going to be [tex]\pi r^{2}[/tex] / 2. r standing for radius. the radius is 4 (half of the diameter). When you plug in 4 for r you get approximately 25.1. Then you have to add that to the area of the rectangle which is just 14x8 which equals 112.

25.1 + 112 = 137.1

Answer:

137.1

Step-by-step explanation:

So what you wana do is multiply 8 x 14 which equal 112 so u can rule out 212.5 (too big) and 86.9 (too little) now u have 137.1 and 162.2 now what u wana do is look at the nearest one cause the space we have left is very small so know we can rule out 162.2 so your answer is 137.1!

                                 Foot note: plz tell me if this helps!

Given:
OH

BC
, OB=10,
OH=6, EF=9, AB=2
Find: AE.

Answers

Answer:

AE=3

Step-by-step explanation:

1. Consider right triangle BOh. In this triangle, OB=10 (hypotenuse), OH=6 (leg), then by the Pythagorean theorem,

[tex]BH^2=BO^2-OH^2\\ \\BH^2=10^2-6^2\\ \\BH^2=100-36\\ \\BH^2=64\\ \\BH=8.[/tex]

2. Since OH⊥BC, then BC=2BH=16.

3. Use the secants property: If two secant segments are drawn to a circle from the same external point, the product of the length of one secant segment and its external part is equal to the product of the length of the other secant segment and its external part.

Thus,

[tex]AE\cdot FA=AB\cdot AC.[/tex]

So,

[tex]AE\cdot (AE+9)=2\cdot (2+16)\\ \\AE(AE+9)=36\\ \\AE^2+9AE-36=0\\ \\D=9^2-4\cdot (-36)=81+144=225\\ \\AE_{1,2}=\dfrac{-9\pm\sqrt{225}}{2}=-12,\ 3.[/tex]

The segment cannot be of negative length, therefore, AE=3.

Intersecting Secant Theorem helps to establish the relation between two secants of a circle. The length of the side AE will be equal to 3 units.

What is Intersecting Secant Theorem?

When two line secants of a circle intersect each other outside the circle, the circle divides the secants into two segments such that the product of the outside segment and the length of the secant are equal to the product of the outside segment and the other secant's length.

a(a+b)=c(c+d)

If we look into the triangle BOH, then the length of the side BH using the Pythagoras theorem can be written as,

[tex]OB^2=OH^2+BH^2\\\\10^2 = 6^2 + BH^2\\\\BH= 8\rm\ units[/tex]

Now, the length of BC will be twice the length of BH, therefore, the length of the line BC can be written as,

[tex]\text{Length of BC} = 2 \times (\text{Length of BH})\\\\\text{Length of BC} = 2 \times 8 = 16\rm\ units[/tex]

Now, using the Intersecting secant theorem the length of AE can be written as,

[tex](AB \times AC) = (AE \times FA)\\\\2(2+16) = AE(AE+9)\\\\36=AE^2+9AE\\\\AE^2+9AE-36 = 0\\\\AE^2+12 AE - 3AE -36=0\\\\AE(AE+12)-3(AE+12)=0\\\\(AE-3)(AE+12)=0\\\\AE = 3, -12[/tex]

Since the length can not be negative, therefore, the length of the side AE will be equal to 3 units.

Learn more about Secant:

https://brainly.com/question/10128640

Use the data set below to answer the following question.

2, 4, 7, 2, 3, 7, 9, 3, 1, 7

What is the mean absolute deviation (MAD) of this data set?

Answers

Answer:

The mean absolute deviation (MAD) of this data set is 2.4

Step-by-step explanation:

step 1

Find the mean

To find out the mean sum all values and divide by the number of values in the data set

we have the set of data

[tex][2, 4, 7, 2, 3, 7, 9, 3, 1, 7][/tex]

The number of values is 10

so

The mean is equal to

[tex][2+4+7+2+3+7+9+3+1+7]/10=45/10=4.5[/tex]

step 2

Find out the absolute value of the difference of each value from that mean

[tex]\left|2-4.5\right|=2.5[/tex]

[tex]\left|4-4.5\right|=0.5[/tex]

[tex]\left|7-4.5\right|=2.5[/tex]

[tex]\left|2-4.5\right|=2.5[/tex]

[tex]\left|3-4.5\right|=1.5[/tex]

[tex]\left|7-4.5\right|=2.5[/tex]

[tex]\left|9-4.5\right|=4.5[/tex]

[tex]\left|3-4.5\right|=1.5[/tex]

[tex]\left|1-4.5\right|=3.5[/tex]

[tex]\left|7-4.5\right|=2.5[/tex]

so

we have

[tex][2.5, 0.5, 2.5, 2.5, 1.5, 2.5, 4.5, 1.5, 3.5, 2.5][/tex]

step 3

we know that

The Mean Absolute Deviation (MAD) is the mean of those distances

[tex][2.5+0.5+2.5+2.5+1.5+2.5+4.5+1.5+3.5+2.5]/10=24/10=2.4[/tex]

therefore

The mean absolute deviation (MAD) of this data set is 2.4

A rectangular field is enclosed by 600 feet of fencing. What is the length, in feet, of the field if its length is 10 feet more than its width?

Answers

Final answer:

To find the length of the rectangular field, set up an equation using the given information and solve for the width. Then, add 10 to the width to find the length of the field.

Explanation:

To find the length of the rectangular field, we can set up an equation using the given information. Let's let x represent the width of the field. Since the length is 10 feet more than the width, we can represent the length as x+10. The perimeter of a rectangle is given by the formula P = 2L + 2W, where P is the perimeter, L is the length, and W is the width. In this case, we know that the perimeter is 600 feet, so we can set up the equation: 600 = 2(x+10) + 2x. Solving this equation will give us the value of x, which represents the width. Once we have the width, we can find the length by adding 10 to the width.

Let's solve the equation:

600 = 2(x+10) + 2x600 = 2x + 20 + 2x600 = 4x + 20580 = 4xx = 145

The width of the field is 145 feet. To find the length, we add 10 to the width: 145 + 10 = 155 feet. Therefore, the length of the field is 155 feet.

Which graphical display is best used to organize numerical data in ascending order?

scatter plot
line graph
box-and-whisker plot
stem-and-leaf plot

Answers

Answer:

line graph

Step-by-step explanation:

Line graphs easily help the visual learner to interpret data and understand peaks and decreases in certain levels. It connects data points and allows people to see what is actually going on.

Answer:

line graph

Step-by-step explanation:

The explanations of each plot are:

Scatter plot

It is used to see the correlation between two variables. The correlation can be positive (increases), negative (decreases) or zero (no correlation at all). This plot can be used to draw a trend line to study the correlation between variables using an equation, generally a line and which prosses is call line regression.

Line graph

Is like the scatter plot but instead of leaving the data or points without connection the line graph connects the points, representing the data, with a line, so to easily show a tendency between variables, which generally tends to increase.

This plot is an easy way to show a tendency, but the scatter plot can give more statistical information about a correlation between variables.

box-and-whisker plot

Shows the median and the quartiles of the data, i.e. shows a interval in which the recollected data can be found and its frequency of repetition.

stem-and-leaf plot

Allows to simultaneously see the frequency distribution of the variable and its graphic representation and its constructed by separating, in each data, the last digit of the right (the leaf) to the remaining digits (the Stem).  

So, to easily show numerical data in ascending order it can be used the line graph, but it can be used de scatter plot to give deeper statistical information too.

Given that a student prefers fiction novels, what is the probability that they are also in 10th grade (52 10th graders) out of 107 students

Answers

52/107= .486 so there’s a 48.6% that they are in 10th grade

Write the following parametric equations as a rectangular equation by
eliminating the parameter.

x=6-t

y= 3t-4

Show all work.

Answers

Answer:

3x + y = 12

Step-by-step explanation:

x = 6 - t

y = 3t - 4

We have to convert these equations in rectangular form which means that we have to express them in terms of x and y only. For this we have to eliminate "t".

From first equation we get the value of t as:

x + t = 6

t = 6 - x

Using this value in second equation, we get:

y = 3(6 - x) - 4

y = 18 - 3x - 12

3x + y = 6

This is the equation in rectangular form.

I need to know what’s the answer to this problem

Answers

Answer:

radius = 16 inches

C = 32pi or approximately 100.48 inches

Step-by-step explanation:

We know the diameter is twice the radius

d = 2r

32 = 2r

Divide each side by 2

32/2 =2r/2

16 =r

The radius is 16 inches

The circumference is equal to

C = pi * diameter

C = pi *32

C = 32 pi inches

Letting pi  be approximated by 3.14

The circumference is approximately 100.48 in

The radius is 16 inches.

This is because the radius is half the diameter and since we know that the diameter is 32 inches you just have to divide it by 2.

The circumference is 32 pi

This is because the circumference is 2 times pi times radius. This means that is is diameter times pi. This is because we know that that 2 times the radius is equal to the diameter.

I Really Need Help!!!!! :)

Answers

Answer:

Hence first graph is the correct answer.

T I

1 28

2 56

3 84

4 112

Step-by-step explanation:

Given that initial amount P = $400

Simple rate of interest = R = 7% = 0.07

Time t= 1,2,3,4 years.

Then apply Simple interest formula to find the total interest earned in the given years.

I=PRT

for t=1 year

I=PRT=400(0.07)(1)=28

for t=2 year

I=PRT=400(0.07)(2)=56

for t=3 year

I=PRT=400(0.07)(31)=84

for t=4 year

I=PRT=400(0.07)(4)=112

Now we have table as shown below:

T I

1 28

2 56

3 84

4 112

Graphing these points we see that obtained graph best matches with First choice .

Hence first graph is the correct answer.

What’s the square root of 678

Answers

Answer:

sqrt(678)=

26.0384331

Step-by-step explanation:

For this case we must find the value of the following expression:

[tex]\sqrt {678}[/tex]

This expression can not be simplified. Its excata form is the same. On the other hand, if we introduce this expression in a calculator, we find that the decimal form of the expression is: 26.0384

Answer:

26.0384

Help 20 points!!!!!
What would the area of each triangle be if the base is 10 and the height is 3/5?

Answers

Answer:

Area=3

Step-by-step explanation:

A = 1/2 bh

A = 1/2 (10) (3/5)

A = 3

HELP ME PLEASE WILL MARK!

Answers

Answer:

A

Step-by-step explanation:

A is correct.  This absolute value is the distance (unsigned) between -2/3 and +5/3, which is 7/3.  Note that This distance is | 5/3 - (-2/3) |, or 7/3.

Eliminate the parameter. X=t-3, y= 2/t+5

Answers

To get the system of equations in terms of x and y, solve for any other parameters and substitute back into the other equations.

y=2/x+8

Eliminate the parameter:

Given the parametric equations x = t-3 and y = 2/(t+5).Substitute t from the first equation into the second to eliminate the parameter t.The relation between x and y after eliminating the parameter t is x = (y-2)/2 - 3.

Help?!
It’s due tomorrow

Answers

I got you, you'll get a super grade!

D.) Company III has the best discount price of $132.

Option A is incorrect because $49.50 is 25% of $198, not 25% off. Option B is not the best choice because Patricia will end up spending about $30 more. Option C is also not the best option because Patricia can save $16 if she does not chose Company I. So, we are left with our only answer choice, Option D.

Hope this helps ya, please slide me Brainliest :D


HELP PLEASE!!!! OFFERING POINTS!


The numbers 1 through 8 are to be placed in the circles in the diagram shown such that the sum of the numbers on each side of the figure is 15. Find the values of x, y, and z. Then copy the diagram on a piece of paper and fill in each circle with the appropriate number. Be sure to show all your work. Upload the finished problem below.

Note: x satisfies –4(x – 2) = –4,

y satisfies 9 + 2(y – 3) = 3(y – 2) + 1,

and z satisfies z/3+1/2=5/2.

Answers

Answer:

find the missing numbers

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solve for x

- 4 (x - 2) = - 4           There are a a couple of ways of doing this. Divide by - 4

-4 (x - 2)/-4 = - 4/-4   Combine

x - 2 = 1                     Add 2

x = 3

Solve for y

9 + 2(y - 3) = 3(y - 2) + 1        Remove the brackets on both sides.

9 + 2y - 6 = 3y - 6 + 1           Combine

9 - 6 + 2y = 3y - 5                

3 + 2y = 3y - 5                      Add 5

3 + 5 + 2y = 3y                      Subtract 2y

8 + 2y - 2y = 3y - 2y

8 = y

Solve for z

z/3 + 1/2 = 5/2                       Subtract 1/2 from both sides.

z/3 + 1/2 - 1/2 = 5/2 - 1/2       Combine

z/3 = 4/2

z/3 = 2                                   Multiply by 3

z/3*3 = 2*3

z = 6

So far what you have is

3

==

8 ||  6

== must = 4 because 3 + 8 + 4 = 15

||  must =  1 because 8 + 6 + 1 = 15

You have 3 numbers left to place 5,7,2

The right hand upper corner = 7.

I'll leave you to place the 5 and 2

What is the equation of the line? Be sure to scroll down first to see all answer options. (-3,9) (0,0)

Answers

Answer:

Option D [tex]y=-3x[/tex]

Step-by-step explanation:

we have the points

(-3,9) and (0,0)

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem the line passes through the origin, then the line represent a direct variation

Find the constant of proportionality k

[tex]k=y/x[/tex]

For the point (-3,9)

[tex]k=9/-3=-3[/tex]

so

the equation is

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

Answer:

y = -3x

Step-by-step explanation:

it's what the test said

Kelsey measured the sides of a porch to determine if it is a right triangle. Does her porch with side lengths of 42 feet, 56 feet, and 70 feet form a right triangle?

Yes, because 1st picture
Yes, because 2nd picture
No, because 3rd picture
No, because 4th picture

Answers

Answer:

Yes, because 2nd picture

Step-by-step explanation:

we know that

If the side lengths of a triangle satisfy the Pythagoras Theorem, then is a right  triangle  

The Pythagoras Theorem states that

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

where

c is the greater side

a and b are the legs of triangle

we have

[tex]c=70\ ft[/tex]

[tex]a=42\ ft[/tex]

[tex]b=56\ ft[/tex]

substitute

[tex]70^{2}=42^{2}+56^{2}[/tex]

[tex]4,900=4,900[/tex]

therefore

Is a right triangle

Final answer:

Kelsey's porch does form a right triangle because the sum of the squares of the side lengths (42 feet and 56 feet) equals the square of the hypotenuse (70 feet) when applying the Pythagorean Theorem.

Explanation:

To determine if Kelsey's porch forms a right triangle, we need to apply the Pythagorean Theorem, which states that in a right triangle, the sum of the squares of the lengths of the two perpendicular sides (a and b) is equal to the square of the length of the hypotenuse (c).

The formula is a² + b² = c².

For Kelsey's porch, the side lengths are:

Side a = 42 feet

Side b = 56 feet

Side c (potential hypotenuse) = 70 feet

Let's calculate:

42² + 56² = 70²

1764 + 3136 = 4900

4900 = 4900

Since the sum of the squares of the two shorter sides is equal to the square of the longest side, the porch does form a right triangle. The answer is Yes.

Tania took selfies with her 8 cousins. Each cousins is in 2 or 3 picture. There are exactly 5 cousins on each picture. How many selfies did Tania take?

Answers

Answer:

4

Step-by-step explanation:

How many selfies did Tania take? (my first answer would be too many, but that's probably not the answer you're looking for :-) )

We know that each cousin appear 2 or 3 times overall.

If she would have taken each cousin exactly 2 times, that would be 16 cousins/photos

If she would have taken each cousin exactly 3 times, that would be 24 cousins/photos

We know there's exactly 5 cousins per photo...

so we have to find a multiple of 5 cousins/photos that is between 16 and 24.

The only possibility is 20 cousins/photos.  20 / 5 = 4 photos.

What is the area of a rectangle with a length of 7.5 feet and a width of 8 feet?

31 ft2
56 ft2
56.5 ft2
60 ft2

Answers

Answer:

d 60 ft 2

Step-by-step explanation:

The area of a rectangle is length*width so the area of this rectangle is 7.5 * 8 or 60ft²

complete the congruence statement

Answers

Angle Y equals Angle S

Other Questions
what is the measurement to the calculation to figure the numbers of pi Use the grouping method to factor this polynomial completely 4x^3+8x^2+3x+6 Determine whether the following regular polygon tessellates the plane. Explain.-square researchers have concluded that a dry basin began to fill with water in 1880. the water level rose an average of 1.6 millimeters (mm) per year from 1880 to 2009. the rise in water level since 1880 can be modeled by f(x) = 1.6x, where x is the number of years since 1880 and f is the total rise of the water level in mm. 1. what is the domain of f(x)?2. by how much did the water level rise in all from 1880 to 1950?3. in what year was the water level 100 mm higher than in 1880?remember: 1 m = 1,000 mm please help and thank you!! Find the unknown side length, x. Write your answer in simplest radical form. What is the remainder when 7^85 is divided by 41? How can you solve this without using a calculator? A high school football coach is worried about how she should handle her roster. On the one hand, it's her job to try and win as many games as possible, which means playing the best players; on the other, her contract also requires that she try to allow every member of the team to meaningfully participate. The tension she feels is called: You buy a share of stock, write a one-year call option with x = $24, and buy a one-year put option with x = $24. your net outlay to establish the entire portfolio is $22.60. what must be the risk-free interest rate? the stock pays no dividends. (do not round intermediate calculations. round your answer to 2 decimal places.) Which is a major source of air pollution in the world today?A.carbon emissions from cars and trucksB.chemical waste from industrial centersC. Nuclear power plantsD.coal burning factories The value of a 1970 comic book has increased 12% per year. It originally sold for $0.35. Write an exponential equ Show your work.ation that models this situation and use it to answer the question. What is spatial organization? A Information organized in a mind-map B Information organized according to cause and effect C Information organized according to physical location in space D Information organized chronologically The importers and the Los Angeles residents would likely agree that A)the return of the smog is linked to the burning of fossil fuels. B)the rise in number of both incoming and outgoing airplanes and ships. C)hot summers, which lead to increased use of air conditioning, is the root of the problem. D)increased use farm equipment, power generators, and train engines are responsible for the return of the smog. Quadrilateral ABCD is inscribed in a circle. Find the measure of angle D. Show your work. In the figure, mDE = 118 and mBC = 48. The diagram is not drawn to scale.What is mA?A.83B.70C.35D.24 Why do iridescent colors seen in some seashells (such as abalone shells) change as the shells are viewed from various positions? To begin the experiment, 1.11g of methane CH4 is burned in a bombcalorimeter containing 1000 grams of water. The initial temperature of water is 24.85oC. The specific heat of water is 4.184 J/g oC. The heat capacity of the calorimeter is 695 J/ oC . After the reaction the final temperature of the water is 35.65oC.2. Calculate the change in temperature, T3. Using the formula qwater = m c T ,calculate the heat absorbed by the water.4. Using the formula qcal = Ccal T ,calculate the heat absorbed by the calorimeter.5. The total heat absorbed by the water and the calorimeter can be calculatedby adding the heat calculated in steps 3 and 4. The amount of heat releasedby the reaction is equal to the amount of heat absorbed with the negativesign as this is an exothermic reaction. Using the formula H = -(qcal qwater + ) ,calculate the total heat of combustion.6. Evaluate the information contained in this calculation and complete thefollowing sentence:This calculation shows that burning ____________ grams of methane [takesin/gives off] ______________ energy.7. The molar mass of methane is 16.04 g/mol. Calculate the number of molesof methane burned in the experiment.8. What is the experimental molar heat of combustion?9. The accepted value for the heat of combustion of methane is -890 KJ/mol.Explain why the experimental data might differ from the theoretical value.10.Give the formula theoretical value - experimental value % error = 100theoretical value , calculatethe percent error for the experiment Solve by using the x-intercept method: x^3+x^2-17x+15=0 A. 1,17,15B. -5,1,3C. 1,3,5D. -3,1,5 HELP ME WITH THIS 60 POINTS,5-STAR RATING, AN THANKS AND MARKED AS BRANLIEST. Match the activities to the type of income they generate. dividends, rent, interest, intellectual property sales, capital gains, multilevel marketing sales what is the value of x?