Select the graph of the solution. Click until the correct graph appears. |x| = 2

Answers

Answer 1

Graph of |x| = 2 is two vertical lines symmetric about the y-axis, intersecting x-axis at (2, 0) and (-2, 0).

The equation |x| = 2 represents two parallel vertical lines symmetrically positioned about the y-axis. These lines intersect the x-axis at points (2, 0) and (-2, 0), indicating the absolute value of x being equal to 2. The graph exhibits symmetry with respect to the y-axis, forming a V-shape.

It conveys that any value of x, whether positive or negative, yielding an absolute value of 2 satisfies the equation. The graph emphasizes the notion that the distance of x from the origin is fixed at 2 units, illustrating a clear geometric representation of the absolute value function.

Select The Graph Of The Solution. Click Until The Correct Graph Appears. |x| = 2

Related Questions

jessie has n dollars in his bank account. he deposits $132 write an expression that represents the total amount jessie now has in hi account

Answers

Answer:

n+132

Step-by-step explanation:

Nick volunteer at the senior center each Saturday for 60 minutes and each Sunday for 40 minutes.He takes 2 weeks off every year . how many minutes does Nick volunteer in one year

Answers

Answer:

The total minutes Nick volunteer in a year are 5000 minutes.

Step-by-step explanation:

Given:

Nick volunteer Saturday for 60 minutes and each Sunday for 40 minutes. He takes 2 weeks off every year.

Now, how many minutes did he volunteer in one year.

So, in one year there are 52 weeks.

And, total weeks Nick volunteer are 50 in a year as he takes 2 weeks off every year.

And, total minutes in a week nick volunteer = 60+40= 100 minutes.

Now, for getting the total minutes Nick volunteer in a year, we multiply the total weeks he volunteer in a year from total minutes he volunteer in a week :

Total minutes Nick volunteer in a year = total weeks he volunteer in a year × total minutes he volunteer in a week

Total minutes Nick volunteer in a year [tex]=50\times 100\ minutes[/tex]

Total minutes Nick volunteer in a year [tex]=5000\ minutes[/tex]

Therefore, the total minutes Nick volunteer in a year are 5000 minutes.

A group of ten people were planning to contribute equal amount of money to buy some pizza. After the pizza was ordered one person left. Each of the other nine people had to pay 60 cents extra as a result. How many was the total bill?

Answers

Answer:

$54

Step-by-step explanation:

let the initial amount of money per person be x

let the total cost of the pizza be y

Before one person left:

10x = y ------------> (eq 1)

After one person left, each of the 9 remaining people had to pay $0.60 extra.

9(x+0.6) = y ----------(eq 2)

equating y from both equations

10x = 9(x+0.6)

10x = 9x+(0.6)(9)

10x = 9x + 5.4     (subtract 9x from both sides)

10x - 9x = 5.4

x = 5.4 (substitute this back into equation 1)

10x = y

y = 10(5.4) = $54

Final answer:

The total bill for the pizza was $54.00. Each of the ten people would have contributed $5.40, but after one person left, the remaining nine paid an additional 60 cents each.

Explanation:

When the tenth person left the group, the nine remaining people each had to pay 60 cents extra for the pizza. This means that the contribution of the tenth person would have been 9 times 60 cents, which is $5.40. To find the total bill, we also need to add the amount that the remaining nine people paid before the extra charge. Since each person originally was going to pay the same amount, this amount is also $5.40. Therefore, each of the 10 people would have paid $5.40 making the total bill 10 times $5.40, which equals $54.00.

+
A student earned 30 out of 35
points on an exam. C What percent
of the total points did the student
earn? Round to the nearest
percent
w

Answers

The student would earn %86. To calculate percentage you take the amount of questions correct, divide that by the amount of questions given, multiply by 100 and round to the nearest percent.

Kyle cut a 4 foot piece of rope into pieces that are 0.25 feet long how many pieces of rope did he cut?

Answers

Answer:

16 pieces.

Step-by-step explanation:

4/1/4=16

The number of pieces of rope he cut is 16 pieces.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

The length of rope= 4foot

Length of each piece=0.25

Now,

To find the number of pieces of rope Kyle cut, we need to divide the length of the rope by the length of each piece:

number of pieces = length of rope / length of each piece

In this case, Kyle cut a 4 foot piece of rope into pieces that are 0.25 feet long, so we can plug these values into the formula:

number of pieces = 4 / 0.25

number of pieces = 16

Therefore, by algebra the answer will be 16 pieces.

More about the Algebra link is given below.

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3(x^2 + 5)(x^2 - 5) multiply and simplify.

Answers

Answer:

3x^4-75

Step-by-step explanation:

3(x^2+5)(x^2-5)

3(x^4+5x^2-5x^2-25)

3(x^4-25)

3x^4-75

Just multiply each term out and combine like terms.

is (1, 3), (2, 5), (2, 7), (4, 9) a function

Answers

Answer:

no becase the x value 2 has two y values 5 and 7. for it to be a function each x value can only have 1 y value

Step-by-step explanation:

Answer:

no it is not

Step-by-step explanation:

Jake tosses a coin up in the air and lets it fall to the ground. The equation that models the height (in feet) and time (in seconds) of the parabola is h(t)= -16t^2+ 24t+6. What is the height of the coin when Jake tosses it?

Answers

Final answer:

The height of the coin when Jake tosses it is 6 feet.

Explanation:

The equation that models the height and time of the parabola is [tex]h(t) = -16t^2 + 24t + 6.[/tex]

To find the height of the coin when Jake tosses it, we need to determine the height at time t = 0.

Plugging in t = 0 into the equation, we have [tex]h(0) = -16(0)^2 + 24(0) + 6[/tex]

= 6 feet.

So the height of the coin when Jake tosses it is 6 feet.

Help! Find the value of x, to the nearest hundredth.


I tried doing it and got 20,65 but I don't think I did it the right way, can anyone help me?

Answers

You just divide 124/3 by 2 and you get 62/3

Help me !!! ASAP!!!

Answers

Answer:

the rate of change is 0.1

Step-by-step explanation:

the rate of change is the slope

which equals to (y2-y1)/(x2-x1)

(2.7-2.3)/(17-13)=0.1

1. If 1 cm represents 10 m, what are the actual measurements of the gym including
the closet?
2. What are the actual measurements of the closet?
3. If 1 cm represents 12 m, what are the actual measurements of the gym including
the closet?
4. What is the area of the gym?

Answers

Answer:

1) Actual Measurements of Gym = 50 m x 40 m

2)The actual measurements of the closet  =20 m x 10 m

3) if 1 cm  = 12 m the actual dimensions of the gym  are : 60 m x  48 m

4) The area of the gym =  2000 sq m

Step-by-step explanation:

Here, the question is INCOMPLETE.

I am attaching the correct figure for the reference.

Here, The dimensions of Closet are   =   2 cm , 1 cm

The dimensions of gym are = 5 cm , 4 cm

Now as the scale represents 1 cm  = 10 m

So, the ACTUAL dimensions of the closet are :

2 cm  = 2 x  1 cm  = 2 x 10 m   = 20 m

1 cm  = 10 m

And, the ACTUAL dimensions of the gym  are :

5 cm  = 5 x  1 cm  = 5 x 10 m   = 50 m

4 cm  = 4 x  1 cm  = 4 x 10 m   = 40 m

Now, solving the giver parts:

1) Actual Measurements of Gym = 50 m x 40 m

2)The actual measurements of the closet  =20 m x 10 m

3) if 1 cm  = 12 m

the ACTUAL dimensions of the gym  are :

5 cm  = 5 x  1 cm  = 5 x 12 m   = 60 m

4 cm  = 4 x  1 cm  = 4 x 12 m   = 48 m

4) The area of the gym = LENGTH x WIDTH

                                        =  50 m x 40 m   = 2000 sq m.

Rewrite 27+36 using the GCF and distributive property

Answers

Answer:

27 + 36 = 9(3 + 4)

Step-by-step explanation:

[tex]\text{Distributive property:}\ a(b+c)=ab+ac\\\\27=\boxed{9}\cdot3\\\\36=\boxed{9}\cdot4\\\\GCF(27,\ 36)=\boxed{9}\\\\\\27+36=\boxed{9}\cdot3+\boxed{9}\cdot4=\boxed{9}(3+4)[/tex]

The band at Brown High School sells tickets for catered dinners to raise money for field trips. Spaghetti dinner
tickets cost $7.25, and barbecue dinner tickets cost $8.75. The band sold twice as many spaghetti dinners as
barbecue dinners and raised $2,790. Which of the following sets of equations can be used to determine the number
of spaghetti dinner tickets, x, and the number of barbecue dinner tickets, y, sold?
x = 2y
7.25x + 8.75y = 2,790
2x = y
7.25x + 8.75y = 2,790
© x = 2y
8.75x + 7.25y = 2,790
© 2x = y
8.75x + 7.25y = 2,790

Answers

Answer: First option.

Step-by-step explanation:

Let be "x" the number of spaghetti dinner tickets sold and "y" the number of barbecue dinner tickets sold.

You know that 1 spaghetti dinner ticket costs $7.25; so the total amount of money earned selling these tickects can be represented with this expression:

[tex]7.25x[/tex]

Since 1 barbecue dinner ticket costs $8.75; the total amount of money earned selling them can be represented with this expression:

[tex]8.75y[/tex]

Knowing that the total amount of money the band raised was $2,790, we can write the following equation to represent this situation:

[tex]7.25x+8.75y=2,790[/tex]

The band sold twice as many spaghetti dinners as barbecue dinners, which means that the amount of spaghetti dinners sold was two times the amount of barbecue dinners sold.

This can be represented with this equation:

[tex]x=2y[/tex]

Therefore, the set of equations that can be used to find "x" and "y", is:

[tex]\left \{ {{x=2y} \atop {7.25x+8.75y=2,790}} \right.[/tex]

which of the following is the probability that a blue marble will NOT be selected from a bag containing 9 red marbles, 6 blue marbles, 7 green marbles, and 11 yellow marbles if one is selected randomly?


18%?


32%?


82%?


79%?

Answers

Answer:

82%

Step-by-step explanation:

The total number of marbles is 9 + 6 + 7 + 11 = 33.  6 marbles are blue, so 27 are not.  So the probability of selecting a non-blue marble is 27/33 ≈ 82%.

The probability of NOT getting a blue marble is 82%.

What is probability?

Probability denotes the possibility of the outcome of any random event.

Given that, a bag contains 9 red marbles, 6 blue marbles, 7 green marbles, and 11 yellow marbles, one is selected randomly, we need to find the probability that a blue marble will not be selected,

So, the probability of NOT event = 1-P(E)

Therefore,

The probability of getting a blue marble = 6/33 = 2/11

The probability of NOT getting a blue marble = 1-2/11 = 9/11

= 0.81818181 ≈ 82%

Hence, the probability of NOT getting a blue marble is 82%.

Learn more about probability click;

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Mr. Saunders along with his wife and two children checked in for a 6 day stay at Disney world hotel. If he was charged $882 per person for the 6 day stay, what is the average cost per person per day?

Answers

$882/6 days = $147 per day

find a polynomial of degree 3 with real cofficients and zeros of -3,-1,4 for which f(-2)=24​

Answers

[tex]\bf \textit{zeros at } \begin{cases} x = -3\implies &x+3=0\\ x = -1\implies &x+1=0\\ x = 4\implies &x-4=0 \end{cases}\qquad \implies (x+3)(x+1)(x-4)=\stackrel{y}{0} \\\\\\ (x^2+4x+3)(x-4)=0\implies x^3~~\begin{matrix}+ 4x^2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~+3x~~\begin{matrix} -4x^2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~-16x-12=0 \\\\\\ x^3-13x-12=0[/tex]

we know that f(-2) = 24, namely when x = -2, y = 24, let's see if that's true

[tex]\bf x^3-13x-12=y\implies \stackrel{x = -2}{(-2)^3-13(-2)-12}=y \\\\\\ -8+26-22=y \implies 6=y[/tex]

darn!! no dice.... hmmmm wait a second.... 4 * 6 = 24, if we could just use a common factor of 4 on the function, that common factor times 6 will give us 24, let's check.

[tex]\bf 4(x^3-13x-12)=y\implies \stackrel{x = -2}{4[~~(-2)^3-13(-2)-12~~]}=y \\\\\\ 4[~~-8+26-22~~]=y\implies 4[6]=y\implies 24=y \\\\[-0.35em] ~\dotfill\\\\ ~\hfill 4x^3-52x-48=y~\hfill[/tex]

Help me!!!!!!! ASAP!!

Answers

Answer:

I got youuuu

Step-by-step explanation: what you need?

Answer:

Initial fee: 6 Dollars. Fee per Kilometer: 1.30588235294

Step-by-step explanation:

Divide 222/170=Fee per a Kilo

20 points , will mark brainiest :)

Answers

Answer:

A) The sum of given digits is 5417.412

B ) The sum of given digits is 401.103  

Step-by-step explanation:

Given sum of numbers as :

A ) 5 × 10³ + 4 × 10² + 1 × [tex]10^{1}[/tex] + 7 × [tex]10^{0}[/tex] + 4 × [tex]\frac{1} {10^{1}}[/tex] + 1 × [tex]\frac{1}{10^{2}}[/tex] + 2 × [tex]\frac{1}{10^{3}}[/tex]

Or , 5000 + 400 + 10 + 7 × 1 + 0.4 + 0.01 + 0.002

or, ( 5400 + 10 + 7 ) + ( 0.4 + 0.01 + 0.002 )

Or, 5417 + 0.412

Or, 5417.412

Hence The sum of given digits is 5417.412

B ) 4 × 10² + 1 × ( 1 [tex]\frac{1} {10^{1}}[/tex] ) + 3 × [tex]\frac{1}{10^{3}}[/tex]

Or, 400 + 1 × ([tex]\frac{10+1}{10}[/tex] ) + 0.003

Or, 400 + [tex]\frac{11}{10}[/tex] + 0.003

Or, 400 + 1.1 + 0.003

Or, 401.103

Hence The sum of given digits is 401.103  

Answer

Answer:

1) 5417.412

2) 401.13

Step-by-step explanation:

1) [tex]$ 5 \times 10^3 + 4 \times 10^2 + 1 \times 10^1 + 7 \times 10^0 + 4 \times \frac{1}{10^1} + 1 \times \frac{1}{10^2} + 2  \times \frac{1}{10^3} $[/tex]

[tex]$ 5 \times 10^3 = 5000 $\\ $  4 \times 10^2 = 400 $ \\ $   1 \times 10^1 = 10 $\\$  7 \times 10^0 = 7 \times 1 = 7 $\\$  4 \times \frac{1}{10^1} = 0.4 $\\$ 1 \times \frac{1}{10^2} = 0.01 $\\ $  2  \times \frac{1}{10^3} = 0.02 $ \\[/tex]

Combining we have: [tex]$ 5000 + 400 + 10 + 7 + 0.4 + 0.01 + 0.002 = $[/tex] 5417.412.

2) [tex]$ 4 \times 10^2 + 1 \times 1\frac{1}{10^1} + 3 \times \frac{1}{10^2} $[/tex]

[tex]$ 4 \times 10^2 = 400 $\\$ 1 \times 1\frac{1}{10^1} = 1 \times \frac{11}{10} = 1 \times 1.1 = 1.1 $\\$ 3 \times \frac{1}{10^2} = 0.03 $[/tex]

Combining we have: 400 + 1.1 + 0.03 = 401.13.

Hence, we have the answers.

Abel has 3,330 toothpicks. He wants
to use them all to make a floor mat with 18 equal rows.
Use the bar diagram to write a division equation. Then
solve the equation to find how many toothpicks Abel
should use in each row.​

Answers

Answer:

3,330/18=185

so

185 columns*18 rows

3,330/18=185

so

185 columns*18 rows

What is the method for calculating what percentage a number is of another number

Answers

Answer:

To calculate percentages, start by writing the number you want to turn into a percentage over the total value so you end up with a fraction. Then, turn the fraction into a decimal by dividing the top number by the bottom number. Finally, multiply the decimal by 100 to find the percentage.

Step-by-step explanation

To calculate what percentage one number is of another, divide the 'part' by the 'total' and multiply by 100. This formula is used to convert a ratio into a percentage, which represents a part per hundred of the total.

The method for calculating what percentage a number is of another number involves a straightforward formula: 'part over total, times one hundred, equals percent'. For example, if a class has 35 students and 13 are wearing sandals, you would use the equation 13 divided by 35, multiplied by 100, to find the percentage. The calculation would be 13/35 x 100, which is 0.37 x 100, resulting in 37 percent of the students wearing sandals.

Calculating Percents

To express a fractional amount as a percent, you divide the numerator (the part) by the denominator (the total) and then multiply by 100. The percent symbol, %, is used to indicate that the number is a percentage of the total. For instance, 3 out of 4 can be written as 3/4, which is equal to 0.75, and when multiplied by 100 gives you 75%.

Another example is understanding voter registration percentages. If 10,458 out of 18,145 students registered to vote at a college, the equation to find the percentage would be 10,458/18,145 x 100, equal to 58 percent registration.

Ratio equivalent to 3 : 4

Answers

Answer:

8:6

Hope it helped. :)

Answer: 6:8

to Find any equivalent ratio, you multiply both numbers (in this example, 6 and 8) by the same number (in this example, 2).

what is angle a? ive already gotten the other side

Answers

Answer:

[tex]m\angle A=\tan^{-1}(\frac{m}{n})[/tex]

[tex]AB=\sqrt{m^2+n^2}[/tex]

Step-by-step explanation:

Given:

In Δ ABC

m∠C= 90°

[tex]BC=m[/tex]

[tex]AC=n[/tex]

For the triangle ABC we can apply trigonometric ratio to find m∠A.

We have:

[tex]\tan\angle A=\frac{BC}{AC}[/tex]

Substituting values of side BC and AC

[tex]\tan \angle A=\frac{m}{n}[/tex]

Taking inverse tan to get m∠A.

∴ [tex]m\angle A=\tan^{-1}(\frac{m}{n})[/tex]

AB can be found out using Pythagorean theorem:

AB being the hypotenuse can be written as

[tex]AB^2=BC^2+AC^2[/tex]

Substituting values of side BC and AC

[tex]AB^2=m^2+n^2[/tex]

Taking square roots both sides:

[tex]\sqrt{AB^2}=\sqrt{m^2+n^2}[/tex]

∴ [tex]AB=\sqrt{m^2+n^2}[/tex]

Two boats leave a port at the same​ time, one going north and the other traveling south. The northbound boat travels 18 mph faster than the southbound boat. If the southbound boat is traveling at 40 ​mph, how long will it be before they are 980 miles​ apart?

Answers

Answer:

10 hours

Step-by-step explanation:

Two boats leave a port at the same​ time, one going north and the other traveling south.

Southbound boat rate = 40 mph

The northbound boat travels 18 mph faster than the southbound boat.

Northbound boat rate = 40 + 18 = 58 mph

Two boats rate = 40 + 58 = 98 mph (this means they are apart 98 km after one hour)

Total distance = 980 miles

Total rate = 98 mph

Time [tex]=980:98=10[/tex] hours

You are putting 30 different bolts into bins according to the size of the bolt. So far, you have successfully put 10 bolts into bins, which is 1/3 of the total job. What is your answer when your supervisor asks, “Within 1%, what percent of the job is complete?”

Answers

Within 1% , 0.00333 % of the job is complete.

Step-by-step explanation:

The question requires you to find 1/3 of 1%

This is equal to 1/3*1% = 1/3 * 0.01 = 0.00333 % of the job is complete.

Learn More

Percentage : https://brainly.com/question/1034126

Keyword : job, percent

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Answer:

0.333 %

Step-by-step explanation:

1/3 expressed as a percentage is: 1/3 * 100 = 33.3 %

Given that the maximum possible percentage is 1, then we have to divide this result by 100 (because 100/100 = 1). So, 33.3 % is transformed into 33.3/100 = 0.333 %.

what is x2/3•x2/15 show your work​

Answers

Answer:

[tex]\large\boxed{x^\frac{4}{5}}[/tex]

Step-by-step explanation:

[tex]x^\frac{2}{3}\cdot x^\frac{2}{15}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=x^{\frac{2}{3}+\frac{2}{15}}\qquad\text{LDC = 15}\\\\=x^{\frac{2\cdot5}{3\cdot5}+\frac{2}{15}}=x^{\frac{10}{15}+\frac{2}{15}}=x^{\frac{12}{15}}=x^{\frac{12:3}{15:3}}=x^\frac{4}{5}[/tex]

$210 bicycles; 25% discount

Answers

Answer: $157.50 is the sale price

Step-by-step explanation:

because there is a 25% discount, 75% of the regular price will be the sale price

75% x 210 = $157.50 is the sale price

which value is equivalent to the expression 2^3 + 3^4

Answers

Answer:

89

Step-by-step explanation:

2^3=2*2*2=8

3^4=3*3*3*3=9*9=81

8+81=89

Use the arithmetic series 14 + 6 + (–2) + (–10) + (–18) + (–26) + (–34) to answer each question. What is the common difference d of the arithmetic sequence on which the series is based? d =

Answers

Answer:

The difference (d) = - 8

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Arithmetic series :  14 + 6 + (–2) + (–10) + (–18) + (–26) + (–34)

2. What is the common difference d of the arithmetic sequence on which the series is based?

1st an 2nd element difference = 14 - 6 = 8

2nd and 3rd element difference = - 6 - 2 = -8

3rd and 4th element difference = - 2 + 10 = 8

4th and 5th element difference = -10 + 18 = 8

The difference (d) is 8 and it's negative because the series is lowering the previous value.

3. Proof of d = - 8

14 - 8 = 6

6 - 8 = - 2

- 2 - 8 = - 10

- 10 - 8 = - 18

- 18 - 8 = - 26

-26 - 8 = -34

Answers:

1st: -8

2nd: 14 + (k-1)(-8)

3rd: x=7 y= 22 z= -8

explanation:

i did it :))

What is M angle FAD?

Answers

Answer:

m∠FAD=48°

Step-by-step explanation:

we know that

The Perpendicular Bisector Theorem states that: A radius that bisect a chord is perpendicular to the chord

we have

FD=DE

The radius AC bisect the chord FE

so

AC is perpendicular to FE

The triangle FAD is a right triangle

m∠FAD+m∠AFD=90° ---> by complementary angles in a right triangle

we have

m∠AFD=42°

substitute

m∠FAD+42°=90°

m∠FAD=90°-42°

m∠FAD=48°

9 / 372 what is what is 9 / 372 ​

Answers

Answer:

0.02419354838

"The answer to the question 9 divided by 372 is 0.02419.

To calculate [tex]\[ \frac{9}{372}[/tex] , simply divide the numerator (9) by the denominator (372):

[tex]\[ \frac{9}{372} = \frac{9}{372} \][/tex]

[tex]\[ \frac{9}{372}[/tex] = 0.02419

This fraction cannot be simplified any further because 9 and 372 do not have any common factors other than 1. So, [tex]\[ \frac{9}{372}[/tex]  is already in its simplest form and its value in decimal is 0.02419.

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A runner of mass 60.0kg runs around the edge of a horizontal turntable mounted on a vertical, frictionless axis through its center. The runner's velocity relative to the earth has magnitude 2.50m/s . The turntable is rotating in the opposite direction with an angular velocity of magnitude 0.190rad/s relative to the earth. The radius of the turntable is 3.60m , and its moment of inertia about the axis of rotation is 81.0kg*m2 .A) Find the final angular velocity of the system if the runner comes to rest relative to the turntable. (You can treat the runner as a particle.)answer in rad/s please The half-life of Actinium 227 decays in 20 years. Calculate the mass of the element left when a 2kg sample was left for 160 years. Twenty-four hours after a cesarean birth, a client elects to sign herself and her baby out of the hospital. Staff members are unable to contact her health care provider. The client arrives at the nursery and asks that her infant be given to her to take home. What is the most appropriate nursing action? From a standard deck of cards you draw 4 cards. Find the probability of drawing 2 red and 2 black cards. As described in Investigating Life 20.1, scientists found that the range of the alpine chipmunk has shifted about 500 meters up in elevation, leading to isolated subpopulations on individual mountaintops. According to the researchers, what has caused this shift?A.harmful UV radiation due to the ozone holeB.habitat destruction due to acid precipitationC.introduction of nonnative speciesD.climate warming due to increased CO2 concentrations Suppose you have a coin collection of dimes and quarters containing 46 coins. If you have 6.70 dollars, how many of each type of coin do you have? Carbon-based fuels from lithospheric reservoirs ________.A. have been slowly sequestered over many millions of yearsB. will be lost before the end of the decadeC. cannot be lost to the atmosphere by human processes once stabilized on Earth's surfaceD. are readily lost from Earth's surface in the absence of humansE. are formed from the deposition, partial decay, and compression of inorganic matter In a local shelter, 300 people donated blood during the blood donation week. The samples collected of the different blood types are shown in the graph below. How many more people with Type A blood donated blood than those with Type B blood? If 2x - 1 = 6, what is the value of 4x^2 - 1 Exercise 11-10 Tamarisk, Inc. was organized on January 1, 2021. During its first year, the corporation issued 2,400 shares of $50 par value preferred stock and 135,000 shares of $10 par value common stock. At December 31, the company declared the following cash dividends: 2021, $5,800; 2022, $12,400; and2023, $28,300.Show the allocation of dividends to each class of stuck, assuming the preferred stock dividend is 5% and noncumulative. 1) Tickets to a fundraiser are $14 if purchased ahead of time and $25 ifpurchased at the door. The total amount raised from all ticket sales was $625. Ifeleven tickets were purchased at the door, how many tickets were purchasedchead of time? Jeffrey's preferences are described by U(R.C) = R"C", where R denotes leisure and c denotes consumption. Assume the price of consumption is 1, the wage rate is w, non-labor income is C, and Jeffrey has a total time available (for either work or leisure) equal to R. a. Draw the budget line and write its equation. b. Find the demand function for R' in terms of w, C and R. Hint: imagine you extend the budget line until it crosses the leisure axis. Use the shortcut seen in class to find demands when we have Cobb-Douglas preferences. c. Find the labor supply function, that is, R-R as a function of w, C and R. Is it positively or negatively related to w? Hint: define L' =R-R'. Compute Ollow and check its sign. Assume leisure is defined in hours. What is the value of w that will make Jeffery work eight hours? Express it in terms of C and R. Humans are living longer and longer. If we define R in terms of years of productive life, we can say that is becoming larger. What is the effect of a greater R on optimal leisure and consumption, ceteris paribus? f. Two presidential candidates are proposing alternative policies to increase labor income. Candidate A is proposing a cut in social programs that would decrease C by 20%. Candidate B is proposing a tax cut that would increase w by 20%. Which one would more effective? Explain your answer. Select the correct answer.Which of these problems can be best solved through community action?A. Conner is thinking about joining the high school basketball team, but he is not very tall and he feels inferior to other boys his age.B. Rebecca, who lives in a town with inadequate medical facilities, needs to see a doctor regularly to monitor her diabetes.C. Thierry often leaves his bike by the back stairs, making it difficult for others to pass without tripping or scraping themselves on it. When K+ and I- combine, a(n) _________ bond results. A) covalent B) ionic C) metallic D) polyatomic What is the product? On January 1, 2017, Doone Corporation acquired 70 percent of the outstanding voting stock of Rockne Company for $672,000 consideration. At the acquisition date, the fair value of the 30 percent noncontrolling interest was $288,000 and Rockne's assets and liabilities had a collective net fair value of $960,000. Doone uses the equity method in its internal records to account for its investment in Rockne. Rockne reports a net income of $370,000 in 2018. Since being acquired, Rockne has regularly supplied inventory to Doone at 25 percent more than cost. Sales to Doone amounted to $430,000 in 2017 and $530,000 in 2018. Approximately 40 percent of the inventory purchased during any one year is not used until the following year.a. What is the non-controlling interest's share of Rockne's 2018 income?b. Prepare Doone's 2018 consolidation entries required by the intra-entity inventory transfers. All of the following are considered an appropriate basis of accounting other than GAAP except_________.A. The cash basis of accounting.B. A method based on a contractual agreement.C. The basis of accounting used for tax purposes.D. A projection based on a hypothetical assumption. Analyze, evaluate, and critique. The human genome consists of coding and noncoding DNA. Research and summarize current investigations into the functions of noncoding DNA. Why should entries in the records or appointment books never be obliterated Sometimes the goals of different social institutions conflict, making it difficult to meet people's needs. Which ofthese illustrates this idea?A(religious organizations opening homeless sheltersB)federal pollution regulations affecting corporate profitsC)states requiring more rigorous testing for students to graduateD)banks competing for customers by offering lower interest rates on loans