Find in degrees.
11
B
6
[?]°
Round to the nearest hundredth.
Enter

Find In Degrees.11B6[?]Round To The Nearest Hundredth.Enter

Answers

Answer 1

Answer:

[tex] \beta = 28.610[/tex]

Step-by-step explanation:

in this case we have a right angled triangle, whenever you see this triangle think of the TRIG RATIOS * sin, cos & tan* but if it was another triangle besides right angled triangle you use SINE RULE OR COSINE RULE

SOLUTION

[tex] \tan( \beta ) = \frac{opposite}{adjecent} \\ \tan( \beta ) = \frac{6}{11} \\ \beta = tan(inverse)( \frac{6}{11} ) \\ \beta = 28.61045[/tex]


Related Questions

log 2x + log x = 2
What is the answer

Answers

Answer:

x=5[tex]\sqrt{2\\[/tex]

Step-by-step explanation:

Answer:

5 sqrt 2

Step-by-step explanation:

Log 2x + log x = 2

log ( 2x * x ) = 2

log (2x^2) = 2

2x^2 = 100

x^2 = 50

x = sqrt (50) =  5 sqrt 2

Indicate the formula for the following conditions.
P(X|Y) =

Answers

The conditional probability formula is P(X|Y) = P(X and Y)/P(Y)

How to determine the formula?

The conditional formula is represented as:

P(A|B) = P(A and B)/P(B)

In this case:

A = X

B = Y

So, we have:

P(X|Y) = P(X and Y)/P(Y)

Hence, the conditional probability formula is P(X|Y) = P(X and Y)/P(Y)

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17. Two tanks are similar in shape. The capacity of the tanks are 1,000,000 litres and 512, 000 liters respectively
. a) Find the height of the smallest tank if the larger is 300cm tall .(4 marks)

Answers

Because the tanks are similar in shape we can use scale factors
The scale factor for volume = 512000/1000000 = 0.512
Volumes are a cubic measure
The linear scale factor = cube root(0.512) = 0.8
If the height of the big tank is 300cm then the smaller tank height = 300 x 0.8 = 240cm

The height of the smallest tank if the larger is 300cm tall will be 240cm.

What is the similarity?

Similar figures are those figures which are identical in shape, but not necessarily in size.

Two squares with sides of 10 and 5 are similar because their shape is exact but the size is different.

We can utilize scale factors because the tanks have comparable shapes.

The scale factor for volume will be given as,

The volume of small tank/volume of big tank = 512000/1000000 = 0.512

Since volume, if the cube so,

Scale factor = [tex](0.512)^{1/3}[/tex] = 0.8

With this scale factor the height of the smaller tank = 300 x 0.8 = 240cm

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If Elon and Jeff work together, they can finish the work in 3 hours. If Jeff works together with Bruce, they can make this work done in 6 hours. Elon and Bruce can finish this work in 4 hours. How much time would it take to finish the work if all three worked together?

Answers

Answer:

It would take 1.5 hours for all three to finish the work if they worked together.

Step-by-step explanation:

Elon and Jeff can complete the work in 3 hours.

Jeff and Bruce can complete the work in 6 hours.

Elon and Bruce can complete the work in 4 hours.

3 + 6 + 4 = 13

13 / 3 = 4.33

4.33 / 3 = 1.44

f the coordinates of point A are (8 , 0) and the coordinates of point B are (3 , 7), the y-intercept of is . If the coordinates of point D are (5 , 5), the equation of line is y = x + .

Answers

The equation of the line is y = -7/5x + 56/5

Equation of a line

The formula for expressing equation of a line is given as y = mx + b

where

m is the slope

b is the y-intercept

Given the coordinates A(8, 0) and (3, 7)

Determine the slope

Slope =7-0/3-8

Slope = -7/5

For the intercept

0 = -7/5(8) + b

b = 56/5

Hence the equation of the line is y = -7/5x + 56/5

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Using Sarai’s measurements, Line 3 must be parallel to Line 5 according to which postulate or theorem?

I need help ASAP please!!

Answers

Using Sarai's measurements, Line 3 must be parallel to Line 5 according to (A) Converse of Alternate Exterior Angles Theorem.

Alternate Exterior Angles theorem states that, "If two lines are parallel and they are intersected by same straight line then the alternative exterior angles formed by the figure are equal to each other."

Converse of the above theorem states that, "If two lines intersected by one transverse and formed alternate exterior angles, and if they are equal to each other then that two lines are parallel to each other."

Here in Sarai's measurement we can see that Line 3 and Line 5 are intersected by one straight line and the formed alternate exterior angles both are 65, which shows they are equal to each other.

Hence by Converse of Alternate Exterior Theorem we can say that Line 3 and Line 5 are parallel to each other.

So, Line 3 must be parallel to Line 5 according to Converse of Alternate Exterior Angles Theorem.

Hence Option (A) is correct.

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You are going to paint a six-sector spinner. There are 4 colors to choose from. How many different ways can you paint the spinner if each color can be used more than once and no two adjacent sectors can be the same color?

Answers

Using the Fundamental Counting Theorem, it is found that there are 648 ways to paint the spinner.

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem, we have that the first sector can be painted in any of the 4 colors, the others until the 5th can be painted in 3 colors(not the adjacent), and the sixth in only 2, as it is adjacent to both the 5th and the 1st sectors, hence:

[tex]n_1 = 4, n_2 = n_3 = n_4 = n_5 = 3, n_6 = 2[/tex]

Hence the number of ways is given by:

N = 4 x 3 x 3 x 3 x 3 x 2 = 648.

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Triangle A B C is shifted to the left to form triangle A prime B prime C prime. Triangle A prime B prime C prime is then dilated to form larger triangle A double-prime B double-prime C prime.

Determine the similarity transformations that verify △ABC ~ △A''B''C'.

The first transformation mapping △ABC to △A'B'C' is a

.

The second transformation mapping △A'B'C' to △A''B''C' is a

.

Answers

Similarity transformations involve two types of transformations required to map a  given object onto a similar object without a change in its dimensions. Thus the answers required are:

a. Similarity transformations - translation and dilation.

b. The first transformation is translation.

c. The second transformation is dilation.

Transformation is a process required to change the size or orientation of a given shape to form an image. The types are reflection, translation, rotation, and dilation.

i. Reflection is a type of rigid transformation in which a given shape is flipped about a given point or line.

ii. Translation involves moving a given shape in a certain direction without a change in its initial orientation.

iii. Rotation is a type of rigid transformation where a shape is turned about a given point or line at a required angle.

iv. Dilation is a process that requires either increasing or decreasing the dimension of a given shape.

Also, similarity transformations involve two types of transformations required to map a  given object onto a similar object without a change in its dimensions.

The appropriate answers to the given question are:

a. similarity transformations - translation and dilation

b. The first transformation is translation.

c. The second transformation is dilation.

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SOMEONE, PLEASE ANSWER THIS!

Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify.

6 is added to the product of 7 and a number.

Answers

Answer:

Step-by-step explanation:

Solution

Start with the product

The product is 7*x where x is a number but not specified.

Now add 6

Answer: 7x + 6      

This cannot be simplified any more than what it is now.

Question -:

Represent the following sentences as an algebraic expression:

6 is added to the product of 7 and a number.Explanation -:

Assuming:

Let us assume the number as x.

6 is added to the product of 7 and a number.

Product : 7 × x = 7x

Now we will add 6.

Add : 7x + 6.

Final Answer:

7x + 6.

[tex] \star\tiny\pmb{spbankingandsscseries} \small\star [/tex]

solve for b.

ab + c = d

1. b = (d - c)/a

2. b = a + c/d

3. b = a/(c - d)

Answers

Answer:

1. b=(d-c)/a

Step-by-step explanation:

make me a brainlist

Does anyone know the answer? Please help.

Answers

Answer:

(0,-2)

Step-by-step explanation:

the answer is (0,-2) because -2 is where the line crosses over the y-axis. If we looked at a graph you would see that the line goes over 0 on the X-axis, which causes the line to touch the y-axis and intercept it at the -2 mark.

An easy way to find the answer for these sorts of questions is to draw out a graph and mark the coordinates on it and draw the line conecting them. Once you've done that you can easily see where the line intercepts on both the y and x axis.

Answer:

(0,-2)

please put brainliest

If you have a jar with 25 red marbles and 15 blue marbles, if you choose one marble at random, how likely is it that you will get a red marble?

Answers

Step-by-step explanation:

25 (divided by 5) 5

__ = __

40 (divided by 5) 8

[tex]|\Omega|=25+15=40\\|A|=25\\\\P(A)=\dfrac{25}{40}=\dfrac{5}{8}=62.5\%[/tex]

A right triangle is shown. The other 2 angles are 45 degrees. The length of the hypotenuse is 24 inches.

The hypotenuse of a 45°-45°-90° triangle measures 24 inches. What is the length of the one leg of the triangle?
12 in.
12 StartRoot 2 EndRoot in.
24 in.
24 StartRoot 2 EndRoot in.

Answers

The length of one leg of the right triangle is h = 12√2 inches

How to find the length of the leg of a right triangle?

The length of a right triangle can be found as follows;

sin 45 = opposite / hypotenuse

Therefore,

hypotenuse = 24 inches

Hence,

sin 45 = h / 24

h = 24 sin 45

h = 24 × 1 / √2

Therefore,

h = 24 / √2 × √2 / √2

h = 24√2 / 2

h = 12√2 inches

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Answer: B. 12√2 inches

Step-by-step explanation: TRUST ME!!! Answer correct on Edge!!! :)

Find the length of CD shown in red below. Show all work.

PLEASE HELP

Answers

Answer:

17.28 cm

Step-by-step explanation:

It is 1/2 of the entire circumference of the circle

=      1/2    *   pi * d

= 1/2 * pi * 11 cm = 17.28 cm

please help
I don't know what im supposed to do. ​

Answers

This problem is not a direct question, why is suppose to be asked.

Is this just a general statement or information for a next problem?

Answer:

Step-by-step explanation:

You did not post any question and I just retrieved all possible information from whatever is given.

Please Help me, Asap, want to get as ahead as possible in math before school starts.

Answers

The measure of angle ABD (m∠ABD) is 104°

Calculating the measure of angles

From the question, we are to determine the measure of angle ABD

In the diagram,

∠ABC = ∠ABD + ∠DBC

Thus,

m∠ABC = m∠ABD + m∠DBC

From the given information,

m∠ABC = 140°

m∠DBC = 36°

∴ 140° =  m∠ABD + 36°

m∠ABD = 140° - 36°

m∠ABD = 104°

Hence, the measure of angle ABD (m∠ABD) is 104°

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Plss help which is the same value as 20% of 45??

Answers

Answer:

A, B and D

Step-by-step explanation:

Answer:

Answer B , D , E

Step-by-step explanation:

5
Type the correct answer in the box. Use numerals Instead of words. If necessary, use / for the fraction bar.
Mark wants to fence 4 rectangular gardens, each with a length of 9 feet and a width of 4 feet. What is the total length of fencing Mark needs to
surround all 4 gardens?
Mark needs 110
feet of fencing.

Answers

If the length of garden is 9 feet ,breadth is 4 feet and Mark need to fence four gardens then the total fencing will be 104 feet.

Given The number of gardens is 4. The length and breadth of a garden is 9 feet and 4 feet.

We have to find total length of fencing Mark needs to surround all 4 gardens. Perimeter is the sum of all the sides of the rectangle. Length of opposite side of rectangle must be equal.

Perimeter of a rectangle=2(l+ b)

perimeter of 1 garden=2(l+ b)

=2(9+4)

=2*13

=26 feet

perimeter of 4 gardens will be 4*26

=104 feet.

Hence the total length of fencing that Mark needs to do is 104  feet.

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An independent group of food service personnel conducted a survey on tipping practices in a large metropolitan area. They collected information on the percentage of the bill left as a tip for 35 randomly selected bills. The average tip was 14.2% of the bill with a standard deviation of 2.5%. Assume that the tips are approximately normally distributed. Construct an interval to estimate the true average tip (as a percent of the bill) with 99% confidence. Round the endpoints to two decimal places, if necessary.

Answers

An interval to estimate the true average tip is  (14.62,13.78).

According to statement is

we know that the

confidence interval = sample mean ± standard deviation /(n)^1/2

substitute the values in it then

confidence interval = 14.2  ± 2.5/(35)^1/2

confidence interval = 14.2 ± 2.5/5.91

confidence interval = 14.2 ± 0.42

confidence interval = 14.2 + 0.42 , confidence interval = 14.2 - 0.42

confidence interval = (14.62,13.78)

So, an interval to estimate the true average tip is  (14.62,13.78).

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How do I decide if it’s a real solutions or extraneous solutions?

Answers

Step-by-step explanation:

So you can check for extraneous solutions by plugging in the 5 and -2 as x.

Plug 5 in as x

[tex]5=\sqrt{3(5)+10}\\5=\sqrt{15+10}\\5=\sqrt{25}\\5=5[/tex]

I'm not sure if this is exactly considered an extraneous solution, but I'm assuming it is, since technically the radical doesn't have a plus/minus in front of it, so it's the principle square root which means it only outputs the positive values. This would mean that the -2 wouldn't be a solution, since the principle square root doesn't output negative values, so it's a function, since if it outputted 2 values, then it wouldn't be a function by definition.

In the following exercises, solve
636. The volume of a gas in a container varies inversely with the pressure on the gas. If a container of nitrogen has a volume of 29.5 liters with 2000 psi, what is the volume if the tank has a 14.7 psi rating? Round to the nearest whole number

Answers

Answer:

When the volume of a gas in a container varies inversely with the pressure on the gas and a container of nitrogen has a volume of 29.5 litres with 2000 psi. So, if the tank has a 14.7 psi pressure, then the volume of the tank would be 4013.6 litres.

Step-by-step explanation:

The volume of a gas in a container varies inversely with the pressure on the gas. If a container of nitrogen has a volume of  litres with  psi, what is the volume if the tank has a  psi pressure.Calculate the volume to the nearest whole number.Use the given values and calculate the proportionality constant as well as required solution.

Step 1 of 2

Write the inversely proportionality relation between the volume and pressure of a gas in container.

[tex]$v \propto \frac{1}{p}$[/tex]

Where volume is represented by v and pressure is represented by p.

Remove the proportionality and place a constant say k.

[tex]$v=\frac{k}{p}$[/tex]

Substitute the given values of nitrogen that v=29.5 and

p=2000 and calculate the value of k from above equation.

[tex]$$\begin{aligned}&29.5=\frac{k}{2000} \\&\Rightarrow k=29.5 \times 2000 \\&\Rightarrow k=59000\end{aligned}$$[/tex]

Step 2 of 2

Substitute the value p=14.7 and above calculated k value in the equation

[tex]$$\begin{aligned}&v=\frac{k}{p} . \\&v=\frac{59000}{14.7} \\&\Rightarrow v=4013.6\end{aligned}$$[/tex]

Which set of points includes all of the solutions for y = five halves times x plus three halves?

Answers

The set of points which includes all of the solutions for y in the given equation is the set of all real numbers.

What set of points includes all of the solutions for y?

The equation given in the task content whose solution set is go be determined is;

y = (5/2)x + 3/2.

It therefore follows that the solution set for.tge equation includes all real numbers as the equation is linear.

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URGENT:Two publishers have offered Dr. Spencer Lewis, a noted dietician, a deal on his new book Don't Dig Your Grave with Your Knife and Fork. The first has offered to pay him $50,000 up front and a $3 royalty for every book it sells. The second has offered to pay $20,000 up front and a $5 royalty for every book it sells. Over what range of sales will Dr. Lewis make more from the deal with the second company than he will from the deal with the first?​

Answers

The range of sales Dr. Spencer Lewis must exceed to profit the most from the second deal is 15,000 sales.

How to find the range of sales that favors Dr. more with the second deal?

To find the range that will benefit Dr. Spencer Lewis the most with the second deal, we must perform the following operation:

A. X × 5 + 20,000B. X × 3 + 50,000

We must replace the X with several numbers and buy the result, when the result of operation B exceeds the result of operation A, it means that it will be more profitable.

According to the above, if we replace the X with 15,000, the values will be the same, however, each number that we increase will mean a greater profit in agreement B.

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The width of a straight racetrack is one tenth of the measurement of its length, the perimeter of the track is 132 meters, what are the dimensions of the length and width of the track?

Answers

Step-by-step explanation:

L = 10W

L + W = 132/2 = 66

---

10W + W = 66

W = 6

L = 60

[tex] \sf{\red{Answer}} [/tex]

L = 60 mW = 6 m

[tex] \sf{\purple{Step \: \: By \: \: Step \: \: Explanation}} [/tex]

Perimeter = 2(L + W)

132 = 2(L + L/10)

132 = 2(10L/10 + L/10)

132 = 2(11L/10)

132 : 2 = 11L : 10

66 = 11L : 10

66 : 11 = L : 10

6 = L : 10

L = 6 × 10 = 60 mW = L/10 = 60/10 = 6 m

HELP PLEASE!! x3-3x2-10x+24 by x-2. fill into other equation

Answers

The solution to the division of the given polynomial expression is:

k = (x+3)(x-4)

Division of polynomials

The division of the given polynomial can be determined by using the rational root theorem which is a method that is popularly used in determining the solutions to a polynomial equation.

From the information given:

[tex]\mathbf{\dfrac{x^3 -3x^2 - 10x +24}{x-2}}[/tex]

Using the rational root theorem;

[tex]\mathbf{\dfrac{(x-2) \dfrac{x^3 -3x^2 - 10x +24}{x-2} }{x-2}}[/tex]

[tex]\mathbf{\dfrac{(x-2)(x^2 -x-12)}{x-2} }}[/tex]

Factor: x² - x - 12

[tex]\mathbf{\dfrac{(x-2)(x+3)(x-4)}{x-2} }}[/tex]

Cancel out the common factor (x-2)

[tex]\mathbf{=(x+3)(x-4) }}[/tex]

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Which of the following lists of ordered pairs is a function?
OA. (0, 2), (4, 2), (0, -4), (4, -2)
OB. (2, 4), (3, 9), (4, 16), (5, 25)
O C. (1, 1), (2, 3), (1, 5), (4,7)
OD. (2, 4), (-2, 4), (3, 9), (-2,-4)

Answers

Answer:

OB. (2, 4), (3, 9), (4, 16), (5, 25)

Step-by-step explanation:

none of the points in this ordered pair have the same x-pos. In all the other options, at least 2 of the points have the same x-pos, preventing them from being functions. Therefore, OB is the only right answer.

Please mark brainliest!!!!!!!!

A
Two similar triangles are shown.
R
ST
S
Mark this and return
N
X
Y
ARST was
AZXY.
O rotated
O reflected
O translated
O dilated
Ner
then dilated, to create
Submit

Answers

ARST was translated, then dilated, to create AZXY

ΔRST was dilated and then dilated, to create ΔZXY.

The correct answer is option D.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

The statement "RST and ZXY are similar" means that the two triangles have the same shape but possibly different sizes.

Similarity means that corresponding angles are congruent and corresponding sides are proportional.

Now,

If Triangle RST was dilated to create Triangle ZXY, it means that Triangle ZXY is an enlarged or reduced version of Triangle RST, with the same shape and proportions.

This is because dilation is a transformation that changes the size of a figure while preserving its shape.

Therefore,

Triangle RST was dilated and then dilated, to create Triangle ZXY.

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Solve 2x²+x-4 = 0.
²+1/2
1
2
x² +
23
x + -2
x + 2

Answers

Answer:

[tex]x = \frac{-1 \pm \sqrt{33}}{4}[/tex]

Step-by-step explanation:

Hello!

We can solve the quadratic by using the Quadratic Formula.

Standard form of a Quadratic: [tex]ax^2 + bx +c = 0[/tex]

Quadratic Formula: [tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

Given our equation: [tex]2x^2 + x - 4 = 0[/tex]

a = 2b = 1c = -4

Plug in the values into the quadratic formula to solve.

Solve the quadratic[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex][tex]x = \frac{-1 \pm \sqrt{1^2 - 4(2)(-4)}}{2(2)}[/tex][tex]x = \frac{-1 \pm \sqrt{1 + 32}}{4}[/tex][tex]x = \frac{-1 \pm \sqrt{33}}{4}[/tex]

The solution to the quadratic is [tex]x = \frac{-1 \pm \sqrt{33}}{4}[/tex].

 GEOMETRY)

In the figure, chords AB and CD intersect at E. If the measure of arc AC is 30 degrees and the m angle DEB=80^o , then find the degree measure of arc DB

Enter just a number for your answer

(Picture is below) thank you!

Answers

Answer: 130

Step-by-step explanation:

Let the measure of arc DB be x.

Then,

[tex]80=\frac{x+30}{2}\\\\160=x+30\\\\x=130[/tex]

Select the correct answer.
Which equation represents a line that is perpendicular to line PQ?

A line is graphed in an x y plane, where the x and the y axes range from negative 10 to 10 in increments of 2. The line falls through two closed points P (negative 8, 7), and Q (negative 4, negative 5).

A. y=3x-2

B. y=1/3x+4

C. y=1/3x-5

D. y=-3x+6

Answers

A perpendicular line to PQ must have a slope equal to 1/3, then the correct options are B and C.

Which equation represents a line that is perpendicular to line PQ?

Two lines are perpendicular if the slope of one is equal to the opposite of the inverse of the other line's slope.

We know that PQ passes through (-8, 7) and (-4, 5), then the slope of PQ is:

[tex]s = \frac{-5 - 7}{-4 - (-8)} = -3[/tex]

A perpendicular line to PQ must have a slope equal to:

[tex]s' = -(\frac{1}{-3} ) = (\frac{1}{3})[/tex]

So we have two correct options (two lines with that slope) which are options B and C.

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Question 1 (Multiple Choice Worth 5 points)(01.06 MC)What are Byzantine monasteries credited with preserving through the Middle Ages?O The basic architectural design of the mosqueO Greek and Roman literatureO the secret of making silkO Greek methods of sculpture4 The provisions of the Platt Amendment most clearly support which of the following American political goals? Find the surface area. Round your answer to the nearest hundredths, if necessary. Leave your answer in terms of for answers that contain . 3. (a.) The 12th term of a linear sequence is 74 and the sum of the first three terms is 42, Find (i.) the first term and the common difference (ii.) the sum of the first 10th terms of the sequence. pls answer it is urgent pls State and county judges in Texas Group of answer choices are selected by the Texas legislature. serve for life. normally are elected to the bench by the voters in their jurisdiction in partisan elections. are all selected by a panel created by the Texas Supreme Court. are all appointed by the governor. Was there ever a time in your life when you had to choose something you could not see? Maybe a gift, grab bag or a prize? Were you happy or unhappy with what you chose? Drag each tile to the correct box.Humans have always developed new inventions and ways of doing things. Sometimes, innovations have led to a transformation of human society.Organize the innovations below by the societal system they helped create.domestication ofanimalscreation of laws andrulesdevelopment of metalarmorcreation of a bureaucracydevelopment of graindistributionplanting of seedsAgrarian SocietyComplex Civilization Simplifyb^10/b^2OA. b^-8OB. b^5 O c. b^-5O D. b^8 what contribution do you think hermeneutics as a philosophy of education can make to your classroom practice Upon what basis were the upper and lower boundaries of the mesozoic era defined?. True or False: Based on the tone of her April 1861 diary entries, Mary Chesnut blamed the Yankees for starting the Civil War. What Is sonar method ? Read this sentence. Whether I like it or not by tomorrow I must choose a college to attend.Choose the correctly punctuated revision and indicate whether the relative clause is essential to the meaning of the sentence.Whether I like it or not, by tomorrow I must choose a college to attend.The clause whether I like it or not is non-essential.Whether I like it or not, by tomorrow, I must choose a college to attend.The clause by tomorrow is non-essential.Whether I like it or not by tomorrow I must choose a college to attend.The clause by tomorrow is essential.Whether I like it or not by tomorrow I must choose a college to attend.The clause whether I like it or not is essential. Suppose that entry of firms into the industry changes this firm's demand schedule from columns 1 and 3 to columns 2 and 3. Maximum economic profit will a cake shop sells cakes and cupcakes. a cake uses 5 cups of cake batter. a batch of cupcakes uses 4 cups of batter. the pastry chef has 40 cups of cake batter and wants to make at least 4 cakes. the profit on a cake is $35 and the profit for a batch of cupcakes is $30. How many cakes and batches of cupcakes should the pastry chef make in order to maximize profits? what is the maximum revenue? Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What'sthe solution set of this problem?0 (-2,-21)0 (-2,-21O [-21,42)(21,42) Diabetes,Type I Possible Causes: Symptoms: Treatment: Find the x 44in 55in Use the correct question word (who, what, where, when, why, how many) and the correct form of the verb to be in the past tense to make questions. The underlined words are the answers to the questions. Ex. Why was she absent yesterday? She was absent because she was sick. 1.___________________________________________________________________________________ She was tired because she worked hard all day. 2. ___________________________________________________________________________________ She was at the mall last night. 3. ___________________________________________________________________________________ There were twenty people at the party. 4. ___________________________________________________________________________________ A diamond ring was in the box. 5. ___________________________________________________________________________________ The secretary was in the office. 6. ___________________________________________________________________________________ The students were absent last Tuesday. 7. ___________________________________________________________________________________ She was late because she missed her bus. 8. ___________________________________________________________________________________ Mrs. Jones was at the door. pls help! Select the correct answer.To solve this system of equations using substitution, what could be substituted in place of y in the first equation?4x=5-2yy-2x=7A 7-2xB. 4x-5C. 5-4x/2D. 2x + 7