Answer number 9 pleaseeee

Answer Number 9 Pleaseeee

Answers

Answer 1

Answer:

No 9.

[tex]120 \: \times \frac{5}{100} [/tex]


Related Questions

Assuming that the families use the same appliances in the same way, who spends more to run these appliances in a given 30 day period and by how much? a. the reed family spends $13.80 more than the merrill family. b. the reed family spends $0.46 more than the merrill family. c. the merrill family spends $58.80 more than the reed family. d. the merrill family spends $18.60 more than the reed family.

Answers

The family who spends more to run these appliances in a given 30 day period is given by: Option A: The reed family spends $13.80 more than the merrill family.

How to interpret integral multiplication?

Suppose that there are two positive integer numbers( numbers like 1,2,3,.. ) as a and b

Then, their multiplication can be interpreted as:

[tex]a \times b = a + a + ... + a \: \text{(b times)}\\\\a \times b = b + b +... + b \: \text{(a times)}[/tex]

For example,

[tex]5 \times 2 = 10 = 2 + 2 + 2 + 2 + 2 \: \text{(Added 2 five times)}\\or\\5 \times 2 = 10 = 5 + 5 \: \text{(Added 5 two times)}[/tex]

For this case, the missing table for expenses of both families is:

Reed Family                                                   Appliances                

Gas range                                                  5 cents per day            

Gas dryer                                                   1 load per day-10 cents per load

Electric water heater                                90 cents per day

Typical later model refrigerator               16 cents per day

Total cost per day                                      5+10+90+16= 166 cents = $1.21

Merrill Family                                                Appliances

Electric range                                            13 cents per day

Gas dryer -                                                 1 load per day 10 cents per load

Gas water heater                                      40 cents per day

Energy Star-labeled refrigerator              12 cents per day

Total cost per day                                    13+10+40+12 = 75 cents = $0.75

Since each of them used these appliances for 30 days, so we get:

Case 1: Expense by Reed Family in 30 days:

Expense in 30 days = [tex]30 \times[/tex] expense per day

Expense in 30 days = [tex]30 \times 1.21 = \$36.3[/tex]

Case 2: Expense by Merrill Family in 30 days:

Expense in 30 days = [tex]30 \times[/tex] expense per day

Expense in 30 days = [tex]30 \times 0.75 = \$22.5[/tex]

So, Reed family spent more.

The difference is $36.3 - $22.5 = $13.80

Thus, the family who spends more to run these appliances in a given 30 day period is given by: Option A: The reed family spends $13.80 more than the merrill family.

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Lamar and Mimi are in the same math class. The table shows their scores on 6 math tests. Lamar Mimi 93 90 97 93 96 90 95 91 94 90 98 100 The best measure of center in this scenario is the , and its values for Lamar’s and Mimi’s data are and , respectively. When comparing the measures of center, we can conclude that generally Lamar’s scores are Mimi’s.​

Answers

The best measure of centre is the mean , don't take median as we need average of marks here.

Lamar- 93,90,97,93,96,90Mimi:-95,91,94,90,98,100

Mean of Lamar

93+90+97+93+96+90/6559/693.16%

Mean of Mimi

95+91+94+90+98+100568/694.66%

Mimi has been better

Write the domain and range of the graph below…

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's see what's the domain and range for the given function ~

[tex]\qquad \tt \dashrightarrow \:domain \in [ -5 , 4 ] [/tex]

or

[tex]\qquad \tt \dashrightarrow \: - 5 \leqslant x \leqslant 4[/tex]

Because domain = all values of x between its maximum (4) and minimum (-5) value [ including them ]

[tex]\qquad \tt \dashrightarrow \:range \in[ -4 , 9 ][/tex]

or

[tex]\qquad \tt \dashrightarrow \: - 4 \leqslant y \leqslant 9[/tex]

Because range = all values of y between its maximum (9) and minimum (-4) value [ including them ]

What is the value of loge 36?
O
-6
-2
2
6

Answers

Answer:

B) -2

Step-by-step explanation:

[tex]log_{6} \frac{1}{36}[/tex]                           ORIGINAL

[tex]log_{6} 6^{-2}[/tex]                          REWRITE  1/36

-2                                  LOG RULE - 6's CANCEL

Hope this helsp!

Please Answer Both Questions!
If your correct I'll mark you brainliest if someone else answers

Answers

Answer:

Card 5: 49.98 Card 6: 153.86 sq. ft

Step-by-step explanation:

Card 5: Find the circumference, 28(3.14)=87.92. Then divide by 4 cause the circle is spilt in fourths. 87.92/4=21.98. Then add 28 for the sides. 21.98+28=49.98

Card 6: Find the area, 14^2(3.14)= 615.44. Then divide by 4 since the circle is cut into fourths. 615.44/4=153.86.

help please ! brainliest to first correct answer
What is the solution for x2 –18x < –77?

x < –11 or x > 7
x < –7 or x > 11
–11 < x < 7
7 < x < 11
Question 2(Multiple Choice Worth 2 points)
(07.01 LC)

A two-variable inequality is shown in the graph.

upward opening parabola which is dashed with vertex at 1 comma 2, travels through points negative 1 comma 6 and 3 comma 6, with shading inside the curve

Which point is not included in the solution set for the inequality?

(–1, 3)
(0, 4)
(1, 5)
(2, 4)
Question 3(Multiple Choice Worth 2 points)
(07.01 MC)

Which graph represents the solution of y ≤ x2 + 2?

upward opening parabola formed with a dashed curve, vertex at 0 comma 2, and shading inside parabola
upward opening parabola formed with a dashed curve, vertex at 0 comma 2, and shading outside parabola
upward opening parabola formed with a solid curve, vertex at 0 comma 2, and shading inside parabola
upward opening parabola formed with a solid curve, vertex at 0 comma 2, and shading outside parabola
Question 4(Multiple Choice Worth 2 points)
(07.01 MC)

What is the range of the function f(x) = |x| + 5?

R: {f(x) ∈ ℝ | f(x) < 5}
R: {f(x) ∈ ℝ | f(x) ≥ 5}
R: {f(x) ∈ ℝ | f(x) > 5}
R: {f(x) ∈ ℝ | f(x) ≤ 5}
Question 5(Multiple Choice Worth 2 points)
(07.01 MC)

What is the solution to the inequality |2x + 3| < 7?

4 < x < 10
–5 < x < 2
x < 4 or x > 10
x < –5 or x > 2

Answers

The questions are illustrations of inequalities

The solution to the inequality is 7 < x < 11The range of the function is (c) R: {f(x) ∈ ℝ | f(x) > 5}The solution to the inequality is x < –5 or x > 2

The solution to the inequality

The inequality is given as:

x² - 18x < -77

Add 77 to both sides

x² - 18x + 77 < 0

Expand the inequality

x² - 7x - 11x + 77 < 0

Factorize the inequality

x(x - 7) - 11(x - 7) < 0

Factor out x - 7

(x- 7)(x - 11) < 0

Solve for x

x < 7 or x < 11

This means that the solution to the inequality is 7 < x < 11

The graph that represents the solution

The inequality expression is given as:

y ≤ x² + 2

See attachment for the graph of the inequality

The range of the function

The function is given as:

f(x) = |x| + 5

The smallest value of |x| is 0.

So, we have:

f(x) > 0 + 5

Evaluate

f(x) > 5

Hence, the range of the function is (c) R: {f(x) ∈ ℝ | f(x) > 5}

The solution to the inequality

The inequality expression is given as:

|2x + 3| < 7

Remove the absolute expression

2x + 3 < 7 or 2x + 3 < -7

Subtract 3 from both sides

2x < 4 or 2x < -10

Divide both sides by 2

x < 2 or x < -5

Hence, the solution to the inequality is x < –5 or x > 2

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What’s The Answer Of This? NO BOTS

Answers

Answer:

B is your answer: Angle pair "MTS" should be 107 and "STN" should be 73

Step-by-step explanation:

You need to do 180-73 because "s" is unknown.


That should be 107 degrees.

Angle pair "MTS" should be 107 and "STN" should be 73

This is due to alternate interior angles, same side angles, and congruency properties.

The answer is c, always look for the shape Z and F in these types of question because every corner of the shape Z (like the 2 inside corners or angles) are equal to each other, and the same thing goes to the shape F

The average of three numbers is 15. Two numbers are 7 and 10. What is the third number?

Answers

The Answer is 28

Step-by-step explanation:

If PR = 20. then what is PX=

Answers

Answer:

PX = 10

Step-by-step explanation:

PR = 20

PX = PR/2 (diagonals of parallelogram bisect eachother)

or, PX = 20/2

so, PX = 10

Triangles A B C and A D C share common side A C. The lengths of A B and A D are congruent.
Could ΔABC be congruent to ΔADC by SSS? Explain.

Yes, but only if AB ≅ DC.
Yes, but only if BC ≅ DC.
No, because AB is not congruent to AC.
No, because AB ≅ DA.

Answers

Answer:

d

Step-by-step explanation:

god a 100 on edg

ΔABC cannot be congruent to ΔADC by SSS?l because D. No, because AB ≅ DA.

How to depict the triangle?

It should be noted that when the three corresponding sides of the figures have the same length, it can be concluded that the triangles are congruent by SSS.

In this case, ΔABC cannot be congruent to ΔADC by SSS?l because AB is not equal to DA.

Therefore, the correct option is D.

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can you please hel me it do tonight thank you.

Answers

The inequality in both inequality expressions is the less than or equal to sign

The correct values of the inequality [tex]-1 \le \frac x2[/tex] are x values that are at least -2.The correct values of the inequality [tex]1 \le \frac {-x}2[/tex] are x values that are at most -2.

How to complete the tables?

Inequality 1

The inequality is given as:

[tex]-1 \le \frac x2[/tex]

Multiply both sides by 2

[tex]-2 \le x[/tex]

Rewrite as:

[tex]x \ge - 2[/tex]

The above means that the correct values of x are at least -2.

See attachment for the complete table is as follows:

Inequality 2

The inequality is given as:

[tex]1 \le \frac {-x}2[/tex]

Multiply both sides by 2

[tex]2 \le -x[/tex]

Rewrite as:

[tex]-x \ge 2[/tex]

Multiply both sides by -1

[tex]x \le -2[/tex]

The above means that the correct values of x are at most -2.

See attachment for the complete table is as follows:

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Annabeth logged onto her computer for school at 1:09 pm she paused for a snack break for 30 minuted then started again and then she logged off at 3:47 pm. How long was Annabeth on the computer for?

Answers

Paused for 30min

Starting time:-

1:09PM=13:09+0:30=13:39

Now

Ending time:-

3:47PM=15:47PM

Total active time:-

15:47-13:392:08hours

Or

2hours 8min

Answer:

2 hours 8 minutes

Step-by-step explanation:

Let the total amount of time of Annabeth's being on the computer be x hours

since she paused using computer for a snack break for 30 minuted, our x turns out to be

[tex]x+0:30[/tex]

The initial time is 1:09 pmThe final time is 3:47 pm

Thus our equation would like

[tex]1:09+x+0:30=3:47[/tex]

solving the equation yields:

[tex]1:09+x+0:30=3:47\\\implies 1:39+x=3:47\\\implies x=3:47-1:39\implies \boxed{x=2:08}\rm hours [/tex]

hence,

Annabeth was on her computer for 2 hours 8 minutes

Note:

1 Hour=60 minutes

3. Over what interval is the function decreasing?

Answers

The derivative of a function may be used to determine whether the function is increasing or decreasing on any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I.

Answer:

x∈(-∞; 0).

Step-by-step explanation:

1) the given function is a parabola with its vertex in (0;0). Then

2) the increasing interval is (0:+∝), decreasing interval is (-∝;0).

Between which two consecutive numbers does √48 fall on the number line

Answers

Answer:

6 and 7

Step-by-step explanation:

Answer: a) 6 and 7

Step-by-step explanation:

The square root of 48 is 6.928… so it’s between those two numbers

Please help. Will mark brainlyest.

Answers

1cm would be answer. ………….

Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels. which of these statements are true? check all that apply. there are 20c3 possible ways to choose three books to read. there are 5c3 possible ways to choose three mysteries to read. there are 15c3 possible ways to choose three books that are not all mysteries. the probability that mariah will choose 3 mysteries can be expressed as startfraction 1 over 5 c 3 endfraction. the probability that mariah will not choose all mysteries can be expressed as 1 − startfraction 5 c 3 over 20 c 3 endfraction.

Answers

The other possibilities include that she chooses at least one book that is not a mystery; this means the complement is not choosing all mysteries.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels.

The complement of an event is the remaining possibilities.

Our event is Mariah choosing 3 mysteries.

The other possibilities include that she chooses at least one book that is not a mystery; this means the complement is not choosing all mysteries.

Learn more about probability here;

https://brainly.com/question/11234923

Answer:

Options:

A- There are 20C3 possible ways to choose three books to read.

B- There are 5C3 possible ways to choose three mysteries to read.

E- The probability that Mariah will not choose all mysteries can be expressed as 1 − StartFraction 5 C 3 Over 20 C 3 EndFraction.

Step-by-step explanation:

20 POINTS!!!! ill mark brainliest! The hypotenuse of the triangle measures 18, what is the radius of circle A? Is the radius the same all around?

Answers

Answer:

The radius is 3 and it is the same all around

Step-by-step explanation:

Since The hypotenuse equals the two other sides squared, let's find out what those are.

[tex]\sqrt{9} + \sqrt{9} = \sqrt{18}[/tex]

Now, let's find the square root of those 9s.

[tex]\sqrt{9} = 3[/tex]

Those other sides we talked about (more specifically the base of the triangle) are the radius of the circle because of how they extend to the exterior of the circle, which means since their length is 3, the radius is also 3.

The radius is always constant so it is supposed to be the same all around.

im really bad at math I need help

Answers

option 3

center (-1,-5)

radious √41

hope this helped!

What is a scenario for y= 4x+2

Answers

Answer:

a club has 2 dollar down payment and 4 $ per week how much money is owed after 2 weeks

Step-by-step explanation:

Find the volume of the rectangular prism.

Answers

Answer:

8 x 8 x 8 = 512

Step-by-step explanation:

Hope this helps! Have a great day :)

Answer:

512

Step-by-step explanation:

LxWxH

8x8x8=512

14 What fraction of $1.75 is 77c? Express this
fraction as a percentage.

Answers

Answer:

What is 1.75 as a fraction?

Converting Decimals to Fractions

Numbers can sometimes be easier to work with in fraction form or decimal form, depending on what you are using them for. Fortunately, there are easy steps you can use to convert, or change, fractions into decimals or decimals into fractions.

Answer and Explanation:

Become a Study.com member to unlock this answer! Create your account

To convert 1.75 into a fraction, let's first look at the .75 part of the decimal. .75 means '75 hundredths.' That means the corresponding fraction...

Step-by-step explanation:


Year Population
2011 - 118,000
2017 - 138,000

a. To the nearest hundredth
of a percent, what is the
percent of change from
2011 to 2017?
The percent of change is about a
___% increase.

Answers

Answer:

16% or 16.9492% I'm going to be honest I'm not 100% sure though

Which rules of exponents will be used to evaluate this expression? select three options. startfraction left-brace (negative 8) superscript 4 baseline right-brace superscript negative 5 baseline over (negative 8) superscript 6 baseline endfraction fractional exponent quotient of powers power of a power power of a product negative exponent zero exponent

Answers

The 3 rules that we need to use to simplify the expression are:

Exponent of an exponent rule.Quotient of powers.Negative exponent.

Which rule of exponents must we use?

As I understand, the expression that we have is:

[tex]\frac{((-8)^4)^{-5}}{(-8)^6}[/tex]

The first rule we need to use, is the exponent of an exponent rule, it says that:

[tex](a^n)^m = a^{n*m}[/tex]

If we apply that to the denominator, we get:

[tex]\frac{((-8)^4)^{-5}}{(-8)^6} = \frac{(-8)^{-20}}{(-8)^6}[/tex]

Now we need to use the quotient of powers:

[tex]\frac{a^m}{a^n} = a^{m - n}[/tex]

Using that we get:

[tex]\frac{((-8)^4)^{-5}}{(-8)^6} = \frac{(-8)^{-20}}{(-8)^6} = (-8)^{-20 - 6} = (-8)^{-26}[/tex]

Finally, we use the rule for a negative exponent:

[tex]a^{-n} = \frac{1}{a^n}[/tex]

So we get the simplified form:

[tex]\frac{((-8)^4)^{-5}}{(-8)^6} = \frac{(-8)^{-20}}{(-8)^6} = (-8)^{-26} = \frac{1}{(-8)^{26}}[/tex]

If you want to learn more about exponents, you can read:

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Answer:

B, C, and E

Step-by-step explanation:

HELP HEELP
The diagram shows a cone of height 8 units and base radius 6 units.
What is the surface area of its side?

Answers

Answer:

Option A :- if finding lateral surface area

Other information

radius r = 6 m

height h = 8 m

slant height s = 10 m

volume V = 301.592895 m3

lateral surface area L = 188.495559 m2

base surface area B = 113.097336 m2

total surface area A = 301.592895 m2

Step-by-step explanation:

Using the formulas

A=πrl+πr²

l=√r²+h²

Solving forA

A=πr(r+√h²+r²)=π · 6 · (6+√8²+6²)≈301.59289

Is my answer correct?

Answers

Answer:

[tex]\displaystyle (x,y) \longrightarrow (x+3, y+1)[/tex]

Step-by-step explanation:

We want to write a rule for the transformation shown.

We can see that ΔA'B'C' is the figure ΔABC shifted rightwards 3 units and upwards 1 unit.

In other words, all x-coordinates of ABC is increased by 3, and all y-coordiantes of ABC is increased by 1.

Therefore, the rule for the x-coordinate is:
[tex]\displaystyle x \longrightarrow x + 3[/tex]

And the rule for the y-coordinate is:

[tex]\displaystyle y \longrightarrow y + 1[/tex]

In conclusion, we have that:

[tex]\displaystyle (x,y) \longrightarrow (x+3, y+1)[/tex]

What is the equation in slope-intercept form of the line that passes through the point (2,-2)
and is perpendicular to the line represented by y = x + 2?
2
=X+2?
5
A y = 3x - 7
5
B
y = 2x + 7
+ 7
c y=-zx-3
5
C -2
X
5
D y=-3x + 3​

Answers

The equation in slope-intercept form of the line that passes through the point (2,-2) and is perpendicular to the line represented by y = x + 2 is y = -1/2 - 3

Equation of a lie in slope-intercept

The equation of a line in slope intercept form is expressed as:

y = mx + c

m is the slope

c is the intercept

Given the equation of a line y = x + 2, the slope of the line perpendicular is -1/2. If this line pass through the point (2, -2), the required equation will be

y - (-2) = -1/2(x+2)
2(y+2) = -(x+2)
2y + 4 = -x - 2

2y = -x - 6
y = -1/2 - 3

Hence the equation in slope-intercept form of the line that passes through the point (2,-2) and is perpendicular to the line represented by y = x + 2 is y = -1/2 - 3

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Solve the equation. –9x 1 = –x 17 x = –8 x = –2 x = 2 x = 8

Answers

The value of the variable x for the provided equation  –9x 1 = –x 17 when it is solved, is -2. Option 2 is correct.

What is the solution of equation?

The solution of an equation is the value of the variable of the equation, for which the equation is satisfied.

The equation given in the problem is,

[tex]-9x +1 = -x +17\\[/tex]

To solve this equation, take the terms of variable x left side of the equation and constant term other side,

[tex]-9x +x = 17-1\\-8x=16[/tex]

Divide both side of the equation with number 8 as,

[tex]\dfrac{-8x}{8}=\dfrac{16}{8}\\-x=2\\x=-2[/tex]

Hence, the value of the variable x for the provided equation  –9x 1 = –x 17 when it is solved, is -2. Option 2 is correct.

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Answer: The Answer Is; B) x = –2

Step-by-step explanation: Correct Answer On Edge2020.

(And the correct way to write the equation is; –9x + 1 = –x + 17 , other wise others wouldn't know if it was " +'s " OR " -'s " ..)

Which equations have a leading coefficient of 3 and a constant term of –2? check all that apply. 0 = 3x2 2x – 2 0 = –2 – 3x2 3 0 = –3x 3x2 – 2 0 = 3x2 x 2 0 = –1x – 2 3x2

Answers

The equations which have a leading coefficient of 3 and a constant term of –2 are 0 = 3x² +2x - 2 and 0=3x²-1x-2.

What is a quadratic equation?

A quadratic equation is the equation in which the unknown variable is one and the highest power of the unknown variable is two.

The standard form of the quadratic equation is,

[tex]ax^2+bx+c=0[/tex]

Here,(a,b, c) is the real numbers and (x) is the variable.In this equation, a is the coefficient of the highest term and c is the constant term.

The equations which has the leading coefficient of 3 and a constant term of –2 has to be find out.

The first equation given in the problem is,

[tex]0 = 3x^2 +2x - 2[/tex]

In this equation, the coefficient of the term which has the highest power is 3 and the constant term is -2. Thus, this option is correct.

The second equation given in the problem is,

[tex]0 = -2 - 3x^2 +3[/tex]

Rearrange the equation as,

[tex]0 = -2 - 3x^2 +3\\0=-3x^2+1[/tex]

In this equation, the coefficient of the term which has the highest power is -3 and the constant term is 1. Thus, this option is not correct.

The third equation given in the problem is,

[tex]0 = 3x^2 +x +2[/tex]

In this equation, the coefficient of the term which has the highest power is 3 and the constant term is 2. Thus, this option is not correct.

The fourth equation given in the problem is,

[tex]0 = -1x - 2 +3x^2[/tex]

Rearrange the equation as,

[tex]0=3x^2-1x-2[/tex]

In this equation, the coefficient of the term which has the highest power is 3 and the continuant term is -2. Thus, this option is correct.

Hence, the equations which have a leading coefficient of 3 and a constant term of –2 are 0 = 3x² +2x - 2 and 0=3x²-1x-2.

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Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear correlation between two variables. Find the critical values of r given the number of pairs of data n and the significance level α.

n = 40, α = 0.01

r = 0.402

r = ±0.312

r = 0.43

r = ±0.402

Answers

Answer:

r= 0.402

Step-by-step explanation:

A company sells sports drinks for $2.00 each. The company pays $0.75 for each drink and $10 per week
for a permit to sell the drinks. What is the least number of drinks the company must sell each week to make
a profit?

Answers

6 drinks I think I mean it adds up
Other Questions
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER An example of policies designed to encourage new local industries serving the domestic market would be subsidizing imports to the domestic market. removing all trade restrictions and price supports. imposing import tariffs or otherwise restricting imports. taxing exports of manufactured goods. What does the red arrow represent in the dot plot?O outlier O meanO spread O median NO LINKS!!! Graph the given function by making a table of coordinates How is Elisabeth described in the story Echo? 1. In your own words, explain the Y2K problem. Then describe how people responded tothe Y2K problem. Do you think that their response was successful? Why or why not?Refer to the text in your answer. what is the value of x? In the introduction to her speech about proposed tuition hikes, Jomekia reminds listeners that like them, she is a student and on a tight budget. She is enhancing her credibility by We all have emotions, but most people have not had a lot of experience thinking about or identifying them. Why is this the case? A. Emotions are very complex and hard to identify. B. Thinking about emotions can lead to depression. C. Most people cannot understand how emotions to impact decisions. D. The health community recently began to focus on the role of emotions. Find the error with subject-verb agreement. Select the incorrect verb and type it correctly.The two speakers at the conference yesterday runs a nonprofit organizationfocused on providing music education to students in the Albany UnifiedSchool District Recent research on developmental changes in the five personality factors suggests that _____ continues to increase from early adulthood to late adulthood. Suppose the collision between the packages is perfectly elastic. To what height does the package of mass m rebound? You have $300. Your sister has at most $50 less than you. Write an inequality that matches the situation. Give an amount of money your sister could have. john has 15 apples. john eats 6 apples.how many apples does john have left. What is the slope of a line perpendicular to the line whose equation is6x + 15y = 225. Fully simplify your answer. Petra (1) There are many examples of grand architecture in the world. (2) Some of the most impressive are buildings of the ancient city called Petra in Jordan. (3) Petra is the Greek word for "rock." (4) The early inhabitants of Petrathe Nabataeansdid not use wood or brick to make the structures, but instead, they carved them right out of the desert sandstone cliffs. (5) Two thousand years ago, Petra was an important center of activity where caravans of travelers would pass through on their way to trade goods in other regions. (6) Their power and riches can still be seen today in the remains of their city. (7) Although Petra was built in a rugged, dry desert, the Nabataeans made wise plans for collecting and storing water. (8) This water system was made of cisterns, or reservoirs, that held water and channels that directed water from one place to another. (9) After thriving for about 1,000 years, Petra began to decline. (10) The trade routes that had once gone through the city were changed to go toward the sea. (11) In addition, an earthquake devastated the area. (12) The ruins of the city were rediscovered in the 1800s by a European traveler who disguised himself as a local Bedouin, or local Middle Eastern person, to find the remote location. (13) Today, modern travelers can visit Petra and see its majesty in person; tours are available by foot, donkey, or camel. (14) Much of Petra remains to be seen; archaeologists have uncovered only 15 percent of it. (15) The rest of this city is still "lost" or underground.Where would the following sentence best fit in the passage?Centuries after its decline, no one knew it had existed. A. after sentence 4 B. after sentence 2 C. after sentence 13 D. after sentence 11 1/6 of a wall painted in 3/10 of an hour, how much did he paint in 1 hour Which location experienced a historic landslide?Gulf of MexicoBig ThompsonMount Saint HelensSt. Louis, Missouri After World War I, U.S. industries focused on:A. Selling goods to American consumers.O B. Promoting regional differences.C. Improving trade with Europe.D. Decreasing consumerism. This is my last question WILL GIVE BRAINLIEST & 50 POINTS(Please no links)How did forensic scientists determine that the diaries of Adolf Hitler were forgeries?