ÐA in cos A = 0.7715 in degrees? (not sure if the way I worded that makes sense but yea)

Answers

Answer 1

The value of A such that cos A = 0.7715 is 39.5 degrees

How to solve for A in the equation cos A = 0.7715?

The equation is given as:

cos A = 0.7715

Where the angle is in degrees

There are several ways to solve this equation, some of which include:

Using a scientific calculatorUsing a graph or a graphing toolUsing the cosine table

In this case, we make use of the first option; using a scientific calculator

Recall that the equation is represented as:

cos A = 0.7715

Next, we take the arccos (or anti cosine) of the above equation.

This is represented as

arccos(cos A) = arccos(0.7715)

Evaluate the expression on the left-hand side

A = arccos(0.7715)

Evaluate the expression on the left-hand side using the scientific calculator

A = 39.5112207183

Approximate the above expression

A = 39.5

Hence, the value of A such that cos A = 0.7715 is 39.5 degrees

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Related Questions

Select the correct answer.
Based on the construction shown, what is the next step in the process of constructing parallel line CD?
A.
Using the same compass width that created the first arc, repeat the arc centered at point B.
B.
Using the same compass width that created the first arc, repeat the arc centered at point C.
C. Set the compass width to the distance between point E and where the arc crosses line AB.
D.Set the compass width to be where the arc intersects lines ECand EB.

Answers

The next step in the process of constructing parallel line CD is C. Set the compass width to the distance between point E and where the arc crosses line AB.

How to illustrate the information?

It's important to draw a line parellel to line AB. Then, on should set compasses' width to the distance where the lower arc crosses the two lines.

After that, it's vital to move the compasses to where the upper arc crosses the transverse.

In conclusion, the correct option is C.

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Answer:

The answer is A

Step-by-step explanation:

Given these facts, determine how many cans of paint you would need to buy to paint 2 walls.
1st wall: 20 ft. x 8ft.
2nd wall: 40ft. x 8ft.
1 can will cover 200 square feet of wall.

Answers

Answer:

3 cans

Step-by-step explanation:

A = lw

a = 20 x 8 = 160[tex]ft^{2}[/tex]

a = 40 x 8 = 320 [tex]ft^{2}[/tex]

Together this is 480 [tex]ft^{2}[/tex]

I would need 3 cans.

Geometry: complete this proof (ASAP!!!!! It’s urgent)

Answers

Answer:

1. Given.

2. Alternate Interior Angles Theorem.

3. m<2 + m<7 = 180 by definition of supplementary angles. By definition of congruent angles, m<2 = m<4 and m<5 = m<7, therefore m<4 + m<5 = 180 by substitution property of equality. By definition of supplementary angles, <4 is supplementary to <5.

4. Converse of Consecutive Angles Theorem.

A pygmy hippo and a regular hippo were recently born. The pygmy hippo had a mass of 5 1/2 kg at birth. The regular hippo had a mass of 24 1/2 kg at birth. Complete the comparison. At birth, the regular hippo massed ? times as much as the pygmy hippo.

Answers

The mass of the regular hippo at birth to that of the pygmy hippo is 49/11

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.

The pygmy hippo had a mass of 5 1/2 kg at birth = 5.5 kg.

The regular hippo had a mass of 24 1/2 kg at birth = 24.5 kg

Hence:

Ratio of regular hippo to pygmy hippo = 24.5 / 5.5 = 49/11

The mass of the regular hippo at birth to that of the pygmy hippo is 49/11

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Answer:

49/11 or 4 5/11

Step-by-step explanation:

just did it on khan Academy.

using point Q as the center of dilation.

Point Q is the center of dilation. Line segment A B is dilated to create line segment A prime B prime. The length of Q A is 1.25 and the length of A A prime is 1.25.

What is the scale factor?

1
1.25
2
2.5

Answers

Answer:

  (c)  2

Step-by-step explanation:

The dilation scale factor multiplies the distance from the center of dilation.

Distance from Q

We are given that QA = 1.25, and that AA' = 1.25. By the segment sum theorem, we have ...

  QA' = QA +AA'

  QA' = 1.25 +1.25 = 2.50

Scale factor

The scale factor multiplies the original distance:

  QA' = k·QA . . . . . . . . . . where k is the dilation scale factor

  2.50 = k·1.25 . . . . . . . . using the known lengths

  2.50/1.25 = k = 2 . . . . divide by the coefficient of k

The scale factor is 2.

How to factorise completely please help this is algebra​

Answers

Answer:

Below in bold.

Step-by-step explanation:

9t^2 - u^2     (the difference of 2 squares)

= (3t - u) (3t + u).

2c - 4d - pc + 2pd

= 2(c - 2d) - p(c - 2d)

c -2d is common to both parts so the factors are:

(2 - p)(c - 2d)

1. The accompanying table shows the number of movie theaters showing a popular film and the film's weekly gross earnings, in millions of dollars. Use the table to answer the questions 1), 2).
Number of Theaters (x)
443
456
493
530
569
657
723
1,054
Gross Earnings (y)
(millions of dollars)
2.57
2.65
3.73
4.05
4.76
4.79
5.15
9.63

1). Write the linear regression equation for this set of data, rounding values to five decimal places. Using this linear regression equation, find the approximate gross earnings, in millions of dollars, generated by 610 theaters. Round your answer to two decimal places.
2). Find the minimum number of theaters that would generate at least 7.65 million dollars in gross earnings in one week.

2. A real estate agent plans to compare the price of a cottage, y, in a town on the seashore to the number of blocks, x, the cottage is from the beach. The accompanying table shoes a random sample of sales and location data. Write a linear regression equation that relates the price of a cottage to it's distance from the beach. Use the equation to predict the price of a cottage, to the nearest dollar, located three blocks from the beach.
Number of Blocks
from the Beach
(x) Price of a Cottage
(y)
5 $132,000
0 $310,000
4 $204,000
2 $238,000
1 $275,000
7 $60,800

3. The table below represents a chart kept by a pediatrician tracking the circumference of babies heads at various months of age.
Age
(in months) Circumference
(in cm)
1 35.8
2 36.6
5 38.5
6 39.1
4 38.9
13 40.1
7 39.1
15 40.3
10 39.9
2 36.8
18 40.6

1). Determine the regression model that best fits the data, rounding all values to the nearest thousandth. Then predict the size of a baby's head at 24 months old. Round your answer to the nearest tenth.
2). The pediatrician measured a newborns head and found the circumference to be 35.1cm. Can he add the pair (0, 35.1) to the data set to calculate a new regression? Justify your answer.

Answers

The regression equation of this group of data is given as ŷ = 0.0108X - 1.98123.

How to solve for the amount generated by the theater

ŷ = 0.0108X - 1.98123

x = 610

= 0.0108*610 - 1.98123

=  4.61 million dollars

2. the minimum number of theaters that would generate at least 7.65 million dollars in gross earnings in one week.

7.65= 0.0108x-1.98123

take like terms

x = 892

2. correlation coefficient of X and Y is r = -0.987

This shows a negative relationship

b)Linear Regression Equation =

Y = 313309 - 34740x

c) Y = 313309 - 34740x

Y = 313309 - 34740 * 3

209089

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Help asap brb.asap asap will give max points

Answers

Answer:

[tex]3^{3}[/tex]

Step-by-step explanation:

Note: When you divide exponents with the same constant, the exponent will be subtracted, and vice-versa, when you multiply exponents with the same constant, the exponents will be added.

[tex]\frac{3^{-9} }{3^{-12} } \\= 3^{-9-(-12)} \\=3^{-9+12} \\=3^{3}[/tex]

3^3

when dividing exponents, you subtract the exponents from each other in this case it would be 9- (-12) which would equal 3

The marked price of an article is rs 10000 . If he discounted rate and VAT rate are equal and the price with VAT is 9900 find the vat rate .​

Answers

The rate of  VAT is 10%.

In the question, we are asked to find the VAT rate, given that the market price of an article is Rs. 10000, the rate of discount and the rate of VAT are equal, and the price after VAT is Rs. 9900.

We assume the rate of discount and the rate of VAT to be r%.

Thus, discount = r% of Rs. 10000 = Rs. r/100 * 10000 = Rs. 100r.

Thus, the price after discount = Rs. 10000 - 100r = Rs. 100(100 - r)

Then, VAT = r% of (Rs. 100(100 - r)) = Rs. r/100 * 100(100 - r) = Rs. r(100 - r).

Thus, the price after VAT = Rs. 100(100 - r) + Rs. r(100 - r) = Rs. (100 + r)(100 - r).

The price after VAT is given to be Rs. 9900.

Thus, (100 + r)(100 - r) = 9900,

or, 100² - r² = 9900,

or, r² = 100² - 9900,

or, r² = 10000 - 9900 = 100,

or, r = ±√100 = ±10.

Since r is the rate of VAT, it cannot be negative, making r = 10.

Thus, the rate of  VAT is 10%.

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The geometry of the hybrid orbitals about a central atom with sp3d hybridization is:________

Answers

For sp3d hybridized central atoms, the only possible molecular geometry is trigonal bipyramidal.

Hybridisation (or hybridization) is a process of mathematically combining two or more atomic orbitals from the same atom to form an entirely new orbital different from its components and hence being called as a hybrid orbital.

In this case, if all the bonds are in place, the shape is also trigonal bipyramidal.

In chemistry, a trigonal bipyramid formation is a molecular geometry with one atom at the center and 5 more atoms at the corners of a triangular bipyramid.

Bond angle(s): 90°, 120°

Coordination number: 5

Point group: D3h

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Help pls i cant answer and i need to get them right

Answers

The expression has 2 factors, and the second factor has 2 terms.

How many factors has the expression?

We can write an expression of N factors as:

[tex]y = A_1*A_2*...*A_n[/tex]

Here, the expression is:

4*(8x + 5)

This expression has 2 factors, which are:

4 and (8x + 5)

Now, if we look at the only factor 8x + 5, we have two terms (the terms are the parts that are added), the terms are:

8x and 5.

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Solve the right triangle. Round decimals to the nearest tenth

Answers

Answer:

  j = 19.6

  k = 25.9

  J = 49°

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationships between sides and angles in a right triangle.

Analysis

The given side is opposite the given angle. We want to find the other acute angle and the missing sides: the hypotenuse, and the adjacent side. The relations involving the opposite side are ...

  Sin = Opposite/Hypotenuse   ⇒   Hypotenuse = Opposite/Sin

  Tan = Opposite/Adjacent   ⇒   Adjacent = Opposite/Tan

Of course, the acute angles in a right triangle are complementary, so we can use that fact to find the missing angle.

Application

  Hypotenuse = Opposite/Sin

  IJ = 17/sin(41°) ≈ 25.9

  Adjacent = Opposite/Tan

 IK = 17/tan(41°) ≈ 19.6

  Angle J = 90° -41° = 49°

In summary, ...

  j = 19.6

  k = 25.9

  J = 49°

Find the measure of two complementary angles of the measure of one angle is 3 more than the measure of its complement

Answers

ANSWER: 22.5 and 67.5

let, one angle be x then the another one is 3×(90-x)

x = 270 - 3x

x + 3x = 270

4x = 270

x = 270/4

x = 67.5 (first angle)

then, another angle = 90- 67.5 = 22.5

PLEASE HELP ME! THE QUESTION IS DOWN BELOW PLEASE PLEASE HELP ME

Answers

The given expression (8h + 2w - 5h + 3w) can fully be simplified as 3h + 5w.

What is an expression?

An expression can be defined as a type of mathematical equation which is used to show the relationship that is existing between two or more variables and numerical quantities (integers).

In this exercise, you're required to fully simplify the given expression in the lowest terms. Thus, we would simplify the given expression completely by collecting like terms and performing the necessary arithmetic operations (addition and subtraction) as follows:

Collecting like terms, we have:

8h - 5h + 3w + 2w

Subtracting and adding the like terms respectively, we have:

3h + 5w.

In conclusion, we can logically deduce that the given expression (8h + 2w - 5h + 3w) can fully be simplified as 3h + 5w.

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Complete Question:

Fully simplify 8h + 2w - 5h + 3w.

Let f(x) = (x − 3)−2. find all values of c in (1, 4) such that f(4) − f(1) = f '(c)(4 − 1). (enter your answers as a comma-separated list. if an answer does not exist, enter dne. ) c =

Answers

If the function is [tex](x-3)^{-2}[/tex] and  f(4) − f(1) = f '(c)(4 − 1) then there is not any answer.

Given function is [tex](x-3)^{-2}[/tex] and  f(4) − f(1) = f '(c)(4 − 1).

In this question we have to apply the mean value theorem, which says that given a secant line between points A and B, there is at least a point C that belongs to the curve and the derivative of that curve exists.

We begin by calculating f(2) and f(5):

f(2)=[tex](2-3)^{-2}[/tex]

f(2)=1

f(5)=[tex](5-3)^{-2}[/tex]

f(5)=1

And the slope of the function:

[tex]f^{1}[/tex](x)=[tex]f(5)-f(2)/(5-2)[/tex]

[tex]f^{1}[/tex](c)=0

Now,

[tex]f^{1} (x)=-2*(x-3)^{-3}[/tex]

=-2[tex](x-3)^{-3}[/tex]

=0

-2 is not equal to 0. So there is not any answer.

Hence if the function is [tex](x-3)^{-2}[/tex] and  f(4) − f(1) = f '(c)(4 − 1) then there is not any answer.

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- What is the area of the figure below? Use 3.14
for T.
7 cm
22 cm
18 cm

Answers

Answer: [tex]\Large\boxed{Total~area=586.17~cm^2}[/tex]

Step-by-step explanation:

PART I: Find the area of the triangle

Given information

[tex]Height=7~cm[/tex]

[tex]Base=18~cm[/tex]

Given formula

[tex]A=b\times h\times\dfrac{1}{2}[/tex]

[tex]A=Area\\b=base\\h=height\\[/tex]

Substitute values into the formula

[tex]A=(7)\times (18)\times\dfrac{1}{2}[/tex]

Simplify by multiplication

[tex]A=(7)\times 9[/tex]

[tex]A=63~cm^2[/tex]

PART II: Find the area of the rectangle

Given information

[tex]Height = 18~cm[/tex]

[tex]Base=22~cm[/tex]

Given formula

[tex]A=b\times h[/tex]

[tex]A=Area\\b=base\\h=height\\[/tex]

Substitute values into the formula

[tex]A=(22)\times (18)[/tex]

Simplify by multiplication

[tex]A=396~cm^2[/tex]

PART III: Find the area of the half-circle

Given information

Diameter = 18 cm

Given formula

[tex]A=(\dfrac{d}{2} )^2\times \pi \div2[/tex]

[tex]A=Area\\d=diameter[/tex]

Substitute values into the formula

[tex]A=(\dfrac{18}{2} )^2\times (3.14) \div2[/tex]

Simplify the fraction

[tex]A=(9 )^2\times (3.14) \div2[/tex]

Simplify the exponents

[tex]A=81\times (3.14) \div2[/tex]

Simplify by multiplication

[tex]A=254.34\div2[/tex]

Simplify by division

[tex]A=127.17~cm^2[/tex]

PART IV: Find the total area

Given formula

[tex]Total~area=Triangle+Rectangle+circle~(half)[/tex]

Substitute values into the formula

[tex]Total~area=(63)+(396)+(127.17)[/tex]

Simplify by addition

[tex]Total~area=459+(127.17)[/tex]

[tex]\Large\boxed{Total~area=586.17~cm^2}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Which function has a domain of x>5 and a range of y≤3?
Oy=√x-5+3
Oy=√x+5-3
O y=-√x-5+3
O y = -√x+5-3

Answers

The correct option is the third one.

y = -√(x - 5) + 3

Which function has a domain of x>5 and a range of y≤3?

Remember that a square root can only be evaluated in values equal or larger than zero.

So, if we want the domain to be x > 5, then we must have:

√(x - 5)

Now we also want the range to be equal or smaller than 3, then we should have a constant term equal to 3, and a negative coefficient before the square root, then we get:

y = -√(x - 5) + 3

So the correct option is the third one.

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Need help!!!!!!! Please help me out

Answers

Answer:

x = 10°

Step-by-step explanation:

If the two lines are parallel then the two marked angles will be equal.

8x = 2x + 60

Subtract 2x to combine like terms.

6x = 60

Divide by 6.

x = 10

Write down the next two numbers in each of the following sequences. 40 POINTS

a) 0.04,0.1,0.16, __ , __
b)3,9,27 , __,__
c)0.3,1/3,11/30,__,__

Answers

Answer:

Below in bold.

Step-by-step explanation:

a) 0.04, 0.1, 0.16

You  add 0.06 to get the next term:

The next 2 are: 0.22, 0.28.

b) 3, 9, 27

You multiply by 3 to get next term

Next 2 are: 81, 243.

c)  0.3, 1/3, 11/30

1/3 - 0.3 = 1/30

11/30 - 1/3 = 1/30

So common difference = 1/30

The next 2 terms are 12/30 and 13/30

= 2/5 , 13/30.

Geometry: complete this proof (ASAP!!!! It’s urgent)

Answers

Answer:

1. Given.

2. Reflexive Property of Congruence.

3. Alternate Interior Angles Theorem.

4. SAS

5. <4 ~= <2

6. Converse of Alternate Interior Angles Theorem.

The voice onset time (vot) for the sound /da/ is 17 ms, and the vot for the sound /ta/ is 91 msec. When a computer produces a sound with a vot of 65 ms, listeners are likely to report hearing?

Answers

The the /ta/ sound is the sound which listeners are likely to report hearing. The option B is correct option.

According to the statement

we have given that the The voice onset time (vot) for the sound /da/ is 17 ms, and the vot for the sound /ta/ is 91 msec. and we have to find the sound which listeners are likely to report hearing.

So, For this purpose, we know that the

Traffic announcement (TA) refers to the broadcasting of a specific type of traffic report on the Radio Data System. It is generally used by motorists, to assist with route planning, and for the avoidance of traffic congestion.

And according to this and the voice onset time is

The brief instant that elapses between the initial movement of the speech organs as one begins to articulate a voiced speech sound and the vibration of the vocal cord.

And according to this

the /ta/ sound is the sound which is the like by the listeners are likely to report hearing.

So, The the /ta/ sound is the sound which listeners are likely to report hearing. The option B is correct option.

Disclaimer: This question was incomplete. Please find the full content below.

Question:

The voice onset time (VOT) for the sound /da/ is 17 ms, and the VOT for the sound /ta/ is 91 msec. When a computer produces a sound with a VOT of 65 msec, listeners are likely to report hearing

a. the /da/ sound

b. the /ta/ sound

c. the /ja/ sound

d. a combination of /ta/ and /da/

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Después de 15 meses de haber prestado un capital al 5% de rédito, tengo que pagar de interés Q468.75. ¿Qué capital se ha prestado?

Answers

The capital borrowed, or the principal when the interest was Q468.75 is Q7500.

The principal P, amount borrowed, at a certain rate of interest R%, for  a time of T years, giving an interest of I, can be calculated using the formula:

P = (I * 100)/(R * T).

In the question, we are asked to find the capital borrowed, that is, the principal, when the user pays Q468.75 after 15 months at 5% of income.

Thus, Interest (I) = Q468.75, rate of interest (R) = 5%, and time (T) = 15 months = 15/12 years = 1.25 years.

Thus, the principal P, can be calculated by substituting the values in the formula: P = (I * 100)/(R * T).

P = (468.75*100)/(5*1.25),

or, P = 46875/6.25,

or, P = 7500.

Thus, the capital borrowed, or the principal when the interest was Q468.75 is Q7500.

The provided question is in Spanish. The question in English is:

"After 15 months of having borrowed capital at 5% of income, I have to pay Q468.75 in interest. What capital has been borrowed?"

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2. A football team plays 28 games and wins 4 out of every 7 games played. No match ended in a draw. (b) Calculate the win - loss ratio of this football team. ( I know the answer is 4:3 but I don't know the way work )TY.​

Answers

Answer:4:3

Step-by-step explanation: We can first calculate the wins. 24/7 is 4 and 4x4 = 16. So, they won 16 games and lost the rest. 28-16 = 12. 16:12 is equal to 4:3.

#14
quick answer pls :)

Answers

Answer:

35.56

Step-by-step explanation:

PLEASE CAN SOMEONE HELP!!!!!! ASAP

Answers

Answer:

C

Step-by-step explanation:

Express functions as a ratio: put one in the numerator and the other in the denominator

[tex]\frac{12- \frac{2}{3}t}{3-\frac{1}{8}t }[/tex]

We want to get rid of the fractions which would mean multiplying top and bottom by 3 and 8. (Remember to multiply both terms). The answer would result in C.

What is the congruence correspondence, if any, that will prove the given triangles congruent?

Answers

Answer:

The answer is option A SAS.We have a side,an angle and the last side.If this helps please mark me BRAINLIEST

A gardener has 520 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river and so it does not need any fencing.

garden bordered by a river

What dimensions would guarantee that the garden has the greatest possible area?

shorter side: _____ft (feet)

longer side: ____ft (feet)

greatest possible area: ___ft2 (square-feet)

Answers

The shortest side is 130 feet, the longest side is 260 feet and the greatest possible area is 33800 square feet

What dimensions would guarantee that the garden has the greatest possible area?

The given parameter is

Perimeter, P = 520 feet

Represent the shorter side with x and the longer side with y

One side of the garden is bordered by a river:

So the perimeter is:

P = 2x + y

Substitute P = 520

2x + y = 520

Make y the subject

y = 520 - 2x

The area is

A = xy

Substitute y = 520 - 2x in A = xy

A = x(520 - 2x)

Expand

A = 520x - 2x^2

Differentiate

A' = 520 - 4x

Set to 0

520 - 4x = 0

Rewrite as:

4x= 520

Divide by 4

x= 130

Substitute x= 130 in y = 520 - 2x

y = 520 - 2 *130

Evaluate

y = 260

The area is then calculated as:

A = xy

This gives

A = 130 * 260

Evaluate

A = 33800

Hence, the shortest side is 130 feet, the longest side is 260 feet and the greatest possible area is 33800 square feet

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A radioactive material has a half life of 10 years. What is the fraction of the initial isotope is left after 60 years

Answers

Answer:

1/64

Step-by-step explanation:

10 = ½

20 = ¼

30 = ⅛

40 = 1/16

50 = 1/32

60 = 1/64

Answer:

0.015625 left.

Step-by-step explanation:

If we start with say 100g of the material, in 10 years there is 100 * 1/2 =

50g left   ( = 0.5 left).

In 20 years there is 100*(1/2)^2 = 25 g  left.

In n*10 years there is  100(1/2)^2 g

So in 60 years there is 100(1/2)^6 = 1.5625 g left

This is 1.5625 %

= 0.015625 of the origin material left.

Calculate the amount of heat (in kJ) released when 3.5 mol CH4 react. 4() + 22() → 2() + 22() + 890

Answers

The amount of heat (in KJ) released when 3.5 moles of CH₄ react is 3115 KJ

Balanced equation

CH₄ + 2O₂ -> CO₂ + 2H₂O ΔH = 890 KJ

From the balanced equation above,

1 mole of CH₄ reacted to release 890 KJ of heat energy.

How to determine the heat energy released by 3.5 moles of CH₄

From the balanced equation above,

1 mole of CH₄ reacted to release 890 KJ of heat energy

Therefore,

3.5 moles of CH₄ will react ro release = 3.5 × 890 = 3115 KJ of heat energy

Thus, 3115 KJ of heat energy were released from the reaction

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Which values below belong in this table? Select all that apply.

Answers

Answer:

16, 32, and 64

Step-by-step explanation:

We can see that this is an exponential function, since y multiplies by 2 every time x increases by 1. So the values of y are basically just powers of 2, because the equation of the table is y=2^x.

Other Questions
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