HELP!! THIS TEST WORTH 36 POINTS!!! WILL MARK BRAINLEIST!!!!


Natalie applied for a new credit card.

Which information about Natalie could appear on her credit report?

Choose all answers that are correct.


A. her savings account number

B. amount of available credit on her credit cards

C. amount she owes on her mortgage

D. her gender

Answers

Answer 1

Answer:

A, B, C

Step-by-step explanation:


Related Questions

In the straightedge and compass construction of the equilateral triangle below, how do you know that AB ≈ AC?

Answers

Answer:

C

Step-by-step explanation:

C:  AB is the radius of both circles.

Answer:

C. line segment AB is the radius of both circles.

Step-by-step explanation:

If point A is the center of the first circle and point B is the center of the second circle (in the figure), therefore Line segment AB is the radius of both circles and we write.

Line segment AB = line segment AC (radius of first circle ) and

line segment  AB =  line segment BC (radius of second circle).

Hence line segment AB is the radius of both circle is the correct option for AB =AC.

Identify the factors of 4x2 + 12x + 9



(4x − 3)(x − 3)


(4x + 3)(x + 3)


(2x − 3)(2x − 3)


(2x + 3)(2x + 3)

Answers

Answer:

(2x+3)(2x+3)

Step-by-step explanation:

a^2+2ab+b^2

What is the effective annual interest rate on a savings account that earns interest at a rate of 1.55% compounded monthly?
A.
1.29%
B.
1.55%
C.
1.56%
D.
1.59%

Answers

Answer:

C

Step-by-step explanation:

The formula for effective annual interest rate is:

[tex]r=(1+\frac{i}{n})^{n}-1[/tex]

where

r is the effective annual interest rate

i is the stated interest rate (here, it is 1.55%, or 0.0155)

n is the number of compounding periods (here, compounded monthly, so it means 12 times a year, so n = 12)

plugging these info into the formula, we get:

[tex]r=(1+\frac{i}{n})^{n}-1\\r=(1+\frac{0.0155}{12})^{12}-1\\r=0.0156[/tex]

0.0156 * 100 = 1.56%

correct answer is C

Answer:

The answer is C

Step-by-step explanation:

i got it right on Plato : ) Brainliest?

Kalaty bought 1/12 pounds of butter.How many ounces are 1/12 pounds of butter? Layla hatched 92 eggs.She used 43 and 1/5 of them how many eggs does she have left?

Answers

For this case we have that by definition:

1 pound is equivalent to 16 ounces.

We make a rule of three to determine the ounces of butter:

1lb ------------------------> 16onzas

[tex]\frac {1} {12}[/tex]----------> x

Where "x" represents the ounces of butter

[tex]x = \frac {\frac {1} {12} * 16} {1}\\x = \frac {16} {12}\\x = \frac {8} {6}\\x = \frac {4} {3}[/tex]

Thus, there are [tex]\frac {4} {3}[/tex]ounces of butter.

Now we must find the amount of eggs that remain:

[tex]92- (43+ \frac {1} {5}) =\\92 - (\frac {43 * 5 + 1} {5}) =\\92 - (\frac {215 + 1} {5}) =\\92 - (\frac {216} {5}) =\\92-43.2 =\\48.8[/tex]

Round down. There are 48 eggs left.

Answer:

There are [tex]\frac {4} {3}[/tex] ounces of butter.

48 eggs left

Please answer this multiple choice question CORRECTLY for 30 points and brainliest!

Answers

Answer:

D

Step-by-step explanation:

If you made a table and filled in the values,  the rate column it would look like this:  

                   d     =      r             t

truck                         80

car                            90

So far so good.  If we want the car to catch up with the truck, that means that in the end they travel the exact same amount of miles.  So let's fill in the d:

               d     =     r             t

truck       d           80

car          d           90

Again, not too bad.  If the car leaves 20 minutes later than the truck, that means that the time the truck is traveling is 20 minutes more than the car's time.  So the car's time is t and the truck's time is t + 20:

             d     =     r         t

truck      d           80     t+20

car         d           90        t

Now because the distances are equal, we can set the rate times time for each vehicle equal to each other:

80(t + 20) = 90t

That is choice D

Find the missing part. l = 8, w = 4, h = 2 Find the diagonal (d) of the rectangular solid.

Answers

Final answer:

The diagonal (d) of the rectangular solid with dimensions l=8, w=4, h=2 is found using the Pythagorean theorem in three dimensions. Plugging in the values, d is approximately 9.17 units.

Explanation:

To find the diagonal (d) of a rectangular solid with length (l), width (w), and height (h), you can use the Pythagorean theorem in three dimensions. The formula for the diagonal of a rectangular solid is given by:

d = √(l² + w² + h²)

Given that l = 8, w = 4, and h = 2, we can substitute these values into the formula to find d:

d = √(8² + 4² + 2²) = √(64 + 16 + 4) = √84 ≈ 9.17

So the diagonal of the rectangular solid is approximately 9.17 units.

Find the partial fraction decomposition of

Answers

[tex]\dfrac1{x(x-1)}=\dfrac ax+\dfrac b{x-1}[/tex]

[tex]1=a(x-1)+bx[/tex]

If [tex]x=0[/tex], then

[tex]1=-a\implies a=-1[/tex]

If [tex]x=1[/tex], then

[tex]1=b[/tex]

So we have

[tex]\dfrac1{x(x-1)}=\dfrac1{x-1}-\dfrac1x[/tex]

If a computer depreciates at a rate of 20% per year, what is the monthly depreciation rate?


6.67%


1.67%


8.19%


5.00%




Answers

Answer:

1.67%

Step-by-step explanation:

With the given information that the computer depreciates 20% a year, we have our basis for making the calculation. What is asked for is how much of a depreciation the computer has monthly. One year has 12 months, so in order to get to the result we just simply need to divided the 20% with the number of months in a year to get the result:

20 / 12 = 1.67

The result is 1.67%, thus the computer depreciates 1.67% on a monthly basis.

A Store is having two sales on popcorn. The original price of the popcorn is $10 for 10 oz. Sale A offers you 33% more popcorn for free. Sale B offers you the same amount of popcorn, but at 33% off of the original price. What is the better deal? Why?

Answers

Answer:

  33% off is the better deal

Step-by-step explanation:

1.33 times as much popcorn for the same price is equivalent to 1/1.33 ≈ 0.75 times the price for the original amount of popcorn. That price is equivalent to a sale of 1 - 0.75 = 0.25 = 25% off.

The sale price of 33% off is a better deal (if you don't want the extra popcorn).

Find the zeros of the function in the interval [-2xπ, 2π].
f(x)=3 cos x

Answers

Answer:

Option d.

±π/2 ; ±3π/2

Step-by-step explanation:

To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.

Please see the attached image below, to find more information about the graph

The equation is:

f(x)= 3*cos (x)

We can see from the graph that the zeros are

±π/2 ; ±3π/2

Correct option is d.

For a normally distributed random variable x with m = 75 and s = 4, find the probability that 69 < x < 79 Use the table to help find the answer.

Answers

10-14-19-12-14-18-10-15-15

The figure below is rotated 270° clockwise about the origin .List the coordinates of the image.

A ( , )

B( , )

C( , )

D( , )

Answers

Answer:

A (-4, -4), B (-2, 6), C (-1, 1), D(-3, -5)

Step-by-step explanation:

Before the rotation:

A (-4, 4), B (6, 2), C (1, 1), D(-5, 3)

270° rotation clockwise is the same as 90° counterclockwise.  To do that transformation:

(x, y) → (-y, x)

Therefore, the coordinates of the rotated figure are:

A (-4, -4), B (-2, 6), C (-1, 1), D(-3, -5)

The coordinates of the image are:

A'(-4,-4)B'(-2,6)C'(-1,1)D(-3,-5)

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

This question is solved applying a 270° clockwise about the origin, which has the following rule:

[tex](x,y) = (-y,x)[/tex]

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

Coordinate A:

At the Figure, coordinate A is A(-4,4). Applying the rule:

[tex](-4,4) = (-4, -4)[/tex]

So the image of A is A'(-4,-4).

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

Coordinate B:

At the Figure, coordinate B is B(6,2). Applying the rule:

[tex](6,2) = (-2, 6)[/tex]

So the image of B is B'(-2,6).

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

Coordinate C:

At the Figure, coordinate C is C(1,1). Applying the rule:

[tex](1,1) = (-1, 1)[/tex]

So the image of C is C'(-1,1).

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

Coordinate D:

At the Figure, coordinate C is D(-5,3). Applying the rule:

[tex](-5,3) = (-3,-5)[/tex]

So the image of D is D'(-3,-5).

A similar question is given at https://brainly.com/question/3382538

A television manufacturer decides to increase its production by 25% per month to meet increasing customer demand. The company currently produces 2,000 television sets a month.

Which of the following graphs shows the total number of television sets, y, manufactured by the company in x months?

Answers

Answer:

The last graph

Step-by-step explanation:

The problem presented here is similar to a compound interest problem since we have an initial value, a growth constant and the aspect of time.

We can consider the number of television sets currently produced by the company to be our Principal amount;

P = 2000

The rate of increase in production per month can be considered as our interest rate earned;

r = 25% = 0.25

The total number of television sets y will be our Accumulated amount;

A = y

The duration x becomes our time n.

The compound interest formula is given as;

[tex]A=P(1+r)^{n}[/tex]

We simply substitute the given information into the formula;

[tex]y=2000(1.25)^{x}[/tex]

This is an exponential growth function since the base of the exponent x is greater than 1.

A graph of the function will be an exponential curve passing through ( 0, 2000) since 2000 is our initial value

Answer: the last ones

Step-by-step explanation: I put it and got it right:)

The manager of cups R' Us handed out 125 coupons to his customers on Monday, c coupons on Tuesday, and 220 coupons on the Wednesday. Write an expression for the total number of coupons the manager handed out. Then simplify the expression.

Answers

Answer:125+220+c

if c= 20 then it would be 125+220+20=365

Step-by-step explanation:

Write an equation in point-slope form for the line through the given point with the given slope. (–3, –7); m = -6/5x

Answers

Final answer:

The equation in point-slope form for the line through the point (-3, -7) with slope -6/5x is y - (-7) = -6/5(x - (-3)).

Explanation:

To write the equation of a line in point-slope form, we can use the given point and slope. The point we have is (-3, -7) and the slope is -6/5. The point-slope form of a linear equation is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. Plugging in the values, we get the equation as:

y - (-7) = -6/5(x - (-3))

Learn more about Writing an equation in point-slope form here:

https://brainly.com/question/8706594

#SPJ12

Final answer:

To write an equation in point-slope form, you need the coordinates of a point on the line and the slope of the line. In this case, the given point is (–3, –7) and the slope is -6/5. The equation in point-slope form is y + 7 = -6/5(x + 3).

Explanation:

To write an equation in point-slope form, you need the coordinates of a point on the line and the slope of the line. In this case, the given point is (–3, –7) and the slope is -6/5.

The point-slope form of the equation is y - y1 = m(x - x1).

Plugging in the values, we get y - (-7) = -6/5(x - (-3)).

Simplifying, we have y + 7 = -6/5(x + 3).

Thus, the equation in point-slope form for the line through the point (–3, –7) with a slope of -6/5x is y + 7 = -6/5(x + 3).

Learn more about Writing an equation in point-slope form here:

https://brainly.com/question/8706594

#SPJ12

Bodhi has a collection of 175 dimes and nickels. The collection is worth $13.30. Which equation can be used to find n, the number of nickels in the collection? 0.1n + 0.05(n – 175) = 13.30 0.1n + 0.05(175 – n) = 13.30 0.1(n – 175) + 0.05 = 13.30 0.1(175 – n) + 0.05n = 13.30

Answers

Answer: 0.1(175-n)+0.05n=13.30

Step-by-step explanation: The question is asking you to make and simplify a system of equations.

The 2 equations are:

n+d=175

0.1d+0.05n=13.30.

d=175-n

Solve for n, then substitute into the second equation.

0.1(175-n)+0.05n=13.30

Hope this helps!

Translate the phrase into an algebraic expression

the sum of x and 6

Answers

Answer:

x + 6 =

Step-by-step explanation:

In math sum means addition, difference is subtraction, product is multiplication, and quotient is division

ANSWER

x+6

EXPLANATION

An algebraic expression contains letters and numbers that are connected with mathematical operators or symbols.

The sum of x and 6 as an algebraic up expression is:

x+6

This expression contains a variable , a mathematical symbol and a number.

Question 1 Find the maximum value of the function for the polygonal convex set determined by the given system of inequalities

Answers

Answer:

The maximum value is 126 occurs at (9 , 9)

Step-by-step explanation:

* Lets remember that a function with 2 variables can written

 f(x , y) = ax + by + c

- We can find a maximum or minimum value that a function has for

 the points in the polygonal convex set

- Solve the inequalities to find the vertex of the polygon

- Use f(x , y) = ax + by + c to find the maximum value

∵ 8x + 2y = 36 ⇒ (1)

∵ -3x + 6y = 27 ⇒ (2)

- Multiply (1) by -3

∴ -24x - 6y = -108 ⇒ (3)

- Add (2) and (3)

∴ -27x = -81 ⇒ divide both sides by -27

∴ x = 3 ⇒ substitute this value in (1)

∴ 8(3) + 2y = 36

∴ 24 + 2y = 36 ⇒ subtract 24 from both sides

∴ 2y = 12 ⇒ ÷ 2

∴ y = 6

- One vertex is (3 , 6)

∵ 8x + 2y = 36 ⇒ (1)

∵ -7x + 5y = -18 ⇒ (2)

- Multiply (1) by 5 and (2) by -2

∴ 40x + 10y = 180 ⇒ (3)

∴ 14x - 10y = 36 ⇒ (4)

- Add (3) and (4)

∴ 54x = 216 ⇒ ÷ 54

∴ x = 4 ⇒ substitute this value in (1)

∴ 8(4) + 2y = 36

∴ 32 + 2y = 36 ⇒ subtract 32 from both sides

∴ 2y = 4 ⇒ ÷ 2

∴ y = 2

- Another vertex is (4 , 2)

∵ -3x + 6y = 27 ⇒ (1)

∵ -7x + 5y = -18 ⇒ (2)

- Multiply (1) by 7 and (2) by -3

∴ -21x + 42y = 189 ⇒ (3)

∴ 21x - 15y = 54 ⇒ (4)

- Add (3) and (4)

∴ 27y = 243 ⇒ ÷ 27

∴ y = 9 ⇒ substitute this value in (1)

∴ -3x + 6(9) = 27

∴ -3x + 54 = 27 ⇒ subtract 54 from both sides

∴ -3x = -27 ⇒ ÷ -3

∴ x = 9

- Another vertex is (9 , 9)

* Now lets substitute them in f(x , y) to find the maximum value

∵ f(x , y) = 9x + 5y

∴ f(3 , 6) = 9(3) + 5(6) = 27 + 30 = 57

∴ f(4 , 2) = 9(4) + 5(2) = 36 + 10 = 46

∴ f(1 , 5) = 9(9) + 5(9) = 81 + 45 = 126

- The maximum value is 126 occurs at (9 , 9)

Final answer:

The maximum value of the function for the polygonal convex set determined by a system of inequalities can be found using linear programming. The key steps are to plot the inequalities, find the vertices of the feasible region, and substitute these points into the function to find the maximum value.

Explanation:

This problem is related to linear programming, which is a method to achieve the best outcome in a mathematical model whose requirements are represented by linear relationships. To find the maximum value of the function for the polygonal convex set determined by the given system of inequalities, you essentially need to apply the rules of linear programming.

Firstly, plot the system of inequalities on a coordinate system to determine the feasible region, which is the polygonal convex set. Then, find each vertex of this polygonal convex set. These vertices are points where boundaries of the system of inequalities intersect. Once you have these vertices, substitute each of them into the function you are maximizing. The largest output will be the maximum value of the function within the given polygonal convex set.

Learn more about Linear Programming here:

https://brainly.com/question/34674455

#SPJ3

Please help with this question. I don't understand!

Answers

Answer:

6135.9m^3

Step-by-step explanation:

V=3.14r^2 h/3

step by step

1. the radius is half so half of 25 is 12.5 that's the r in your equation

2.the height in your equation is 3 times more then the radius and your radius is 12.5X3 =37.5 for your height

3. plug everything in back into the equation v=3.14(12.5)^2(37.5/3)= 6135.923 when rounded it is 6135.9m^3

What is the solution to the equation below?

Answers

Answer:

[tex]\frac{38}{7}[/tex]

Step-by-step explanation:

Using the properties of logarithms,

[tex]\log(7)+\log(x-4)=1\\\log(7(x-4))=1\\\log(7x-28)[/tex]

Now think about what this is asking. The log function say 10 to the power of whats on the other side of the equals sign, equals whats in the parenthesis. So, this means whats is the parenthesis is equal to [tex]10^1[/tex] or just 10.

We can now solve to x.

[tex]7x-28 = 10\\7x=38\\x=\frac{38}{7}[/tex]

Answer:

x=38/7

Step-by-step explanation:

Just took the test

PLEASE HELP!!!
What is -5/8 times 2/3?

Answers

Simplify for -5/8*2/3= -5/12

-0.416 as a mixed number

Use substitution to solve the system of equations x= -3y-13 2x+2y=-6

Answers

For this case we have a system of two equations with two unknowns:

[tex]x = -3y-13\\2x + 2y = -6[/tex]

To solve we follow the steps below:

We substitute the first equation in the second:

[tex]2 (-3y-13) + 2y = -6[/tex]

We apply distributive property to the terms of parentheses:

[tex]-6y-26 + 2y = -6[/tex]

We add 26 to both sides of the equation:

[tex]-6y + 2y = -6 + 26\\-4y = 20\\y = \frac {20} {- 4}\\y = -5[/tex]

We find the value of x:

[tex]x = -3 (-5) -13\\x = 15-13\\x = 2[/tex]

Answer:

[tex](x, y) :( 2, -5)[/tex]

19. The areas of corresponding faces of two similar hexagonal prisms are 25 cm² and 121 cm². What is the ratios of the corresponding sides lengths? of the perimeter? of the volumes?

Answers

ANSWER

I) 5:11

ii) 5:11

iii) 125:1331

EXPLANATION

Let the side lengths be in the ratio:

x:y

This implies that the area will be in the ratio:

[tex] \frac{ {x}^{2} }{ {y}^{2} } = \frac{25}{121} [/tex]

Take positive square root.

[tex] \frac{x}{y} = \sqrt{ \frac{25}{121} } [/tex]

[tex] \frac{x}{y} = \frac{5}{11} [/tex]

Hence the sides are in the ratio:

x:y=5:11

The perimeter of the smaller hexagon is 6×5=30

The perimeter of the larger hexagon is 6×11=66

The ratio of the perimeter is

30:66=5:11

The volume will be in the ratio

5³:11³

125:1331

A rider is riding a bicycle on a 6 foot wall at a rate of 1 foot per second.The wheels have a radius of 1 foot and a piece of gum becomes stuck to the rear wheel as shown what's the gum minimum height and maximum height

Answers

Answer:

Gum’s Minimum height: 6ft

Gum’s Maximum height: 8ft

2nd part

How far does the gym travel in one revolution of the bicycle wheel?

2pi

Answer:

Minimum height of gum = 6 foot.

Maximum height of gum = 8 foot.

Step-by-step explanation:

A rider is riding a bicycle on a 6 foot wall, therefore the height of the lowest point of the rear wheel is 6 foot from the ground and highest point of the rear wheel is (6+2) foot = 8 foot ( because diameter of rear wheel =2 foot ).

If a piece of gum become stuck to the rear wheel, hence the minimum height of the gum is 6 foot from the ground and maximum height of the gum is 8 foot  from the ground.

1. A factory makes bicycles. Out of 300 bicycles, 2 were found to have defective brakes.

a. What is the experimental probability that the next bike manufactured will have defective brakes?

b. Predict how many bikes out of 2,100 will have defective brakes.

*Please explain how you found the answers*

Answers

Answer:

a. 1/150.

b. 14.

Step-by-step explanation:

a.  That would be 2/300 = 1/150.

b.  So we expect 1 out of every 150  bikes will have 1 with defective brakes so out of 2,100 it is (1/150) * 2,100

= 14.

Step-by-step explanation:

30 POINTS PLEASE HELP!

Which division problem does the model represent?

Answers

Answer:

first 1

Step-by-step explanation:

first 1

Answer:

7/4 ÷ 1/2= 3 1/2

Step-by-step explanation:

This is the answer hope it help's :)

Which choice is equivalent to the quotient below shown here when x>0?

Answers

Answer:

Choice B is correct

Step-by-step explanation:

The given radical division can be expressed in the following form;

[tex]\frac{\sqrt{16x^{3} } }{\sqrt{8x} }[/tex]

Using the properties of radical division, the expression can be expressed in the following form;

[tex]\sqrt{\frac{16x^{3} }{8x} }=\sqrt{2x^{2} }[/tex]

Simplifying further yields;

[tex]\sqrt{2x^{2} }=\sqrt{2}*\sqrt{x^{2} }=x\sqrt{2}[/tex]

Choice B is thus the correct alternative

For this case we must simplify the following expression:

[tex]\frac {\sqrt {16x ^ 3}} {\sqrt {8x}} =[/tex]

Join the terms in a single radical:

\[tex]\sqrt {\frac {16x ^ 3} {8x}} =\\\sqrt {\frac {8 * (2x ^ 3)} {8x}} =\\\sqrt {\frac {2x ^ 3} {8x}} =\\\sqrt {2x ^ 2} =\\\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]

So:

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

Answer:

Option B

Which of these shows the result of using the first equation to substitute for Y in the second equation, then combining like terms?
Y=2x
2x+3y=16
A. 8x=16
B. 4x=16
C. 5y=16
D. 5x=16

Answers

ANSWER

A. 8x=16

EXPLANATION

The given equations are:

1st equation: y=2x

2nd equation: 2x+3y=16

We substitute the first equation into the second equation to get:

2x+3(2x)=16

This implies that:

2x+6x=16

We combine like terms to get:

8x=16

The correct choice is A. 8x=16

The graph of the function, f(x) = 3^2 + x + 2, opens(down or up) and has a (minimum or maximum) value.

Answers

Answer:

1. The parabola opens upward.

2. It has a minimum value

Step-by-step explanation:

The explanation is shown below. Also, the graph of this function  is shown below including the vertex.

A sweater was on sale at %40 off the regular price. Ella saved $20 by buying the sweater on sale. What was the regular price of the sweater?

Answers

so she saved $20 and that was 40% of the regular price, let's say the regular price is "x".

if 20 is 40%, what is "x" or namely the 100%?

[tex]\bf \begin{array}{ccll} amount0&\%\\ \cline{1-2} 20&40\\ x&100 \end{array}\implies \cfrac{20}{x}=\cfrac{40}{100}\implies \cfrac{20}{x}=\cfrac{2}{5}\implies 100=2x \\\\\\ \cfrac{100}{2}=x\implies 50=x[/tex]

Answer:This is an equation! Solutions: x=1.

Step-by-step

Other Questions
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? If two angles of a triangle have measures of 42 and 20, what is the measure of the third angle? Which word describes structures that are used for the same purpose in the environment but do not share the same development? Consider the following equilibrium reaction having gaseous reactants and products.4HCl + O2 2H2O + Cl2Which of the following would result from increasing the volume of water vapors? The volume of hydrochloric acid increases. The rate of backward reaction decreases. The rate of forward reaction increases. The volume of chlorine increases. What is the equation of the line that passes through the points (1,-1) and (3,3) Myles mows lawns during the summer to earn money. Since he is trying to save money for a car, he tries not to spend very much of it. In fact, his goal is to save $5 for every $7 he makes.If Myles made $128 this week, how much can he spend? How many square feet of outdoor carpet will we need for this hole? What would be the most helpful question a historian could ask to learn more about the cause of the Black Death? Where are the skeletons kept today?How long ago were the skeletons found?Why were all the bodies buried together?Who first discovered and dug up the mass grave?