-2(2x+1)=1 define x and explain why

Answers

Answer 1

Answer:

x=-3/4

Step-by-step explanation:

Use the distributive property a(a+b)= ab+bc:

-4x-2=1

Add a 2 to both sides:

-4x=3

Divide both sides by -4:

x=3/-4

This can be rewritten as -3/4


Related Questions

How do fraction tiles help me subtract unlike fractions?

Answers

Answer:

Step-by-step explanation:

They let you see how one fraction compares to another for one.  Say you had 2/5 and 3/7 it may be tricky to tell which is bigger, but having the tiles will let you see that 3/7 is slightly bigger.  And there are many many more complicated  examples.  So if you know which is bigger you will know subtracting the smaller one will keep it positive, while if you subtract the larger from the smaller one it will be negative.

Also, you can then find equivalent tiles.  In the example I gave you would be able to see 2/5 = 14/35 and 3/7 = 15/35.  Which are like fractions you can subtract simply.  

Final answer:

Fraction tiles are a useful tool for subtracting unlike fractions by helping you visualize the process and find a common denominator, making the subtraction of different sized pieces understandable and accurate.

Explanation:

Fraction tiles are a visual and intuitive tool to help you understand how to subtract unlike fractions. When subtracting fractions with different denominators (unlike fractions), you cannot simply subtract the numerators because they represent different sized pieces. Fraction tiles help by providing a visual representation of different fractions and showing how they can be combined or separated into equivalent amounts with a common denominator.

To subtract unlike fractions effectively using your intuition and fraction tiles, first make sure that each fraction is represented by tiles that are all of the same size, which represent the common denominator. Once you have the common denominator for both fractions, you can easily remove the number of tiles corresponding to the smaller fraction from the larger one. The remaining tiles will show you the difference between the two fractions.

This approach will guide you in constructing the right rules for subtraction. Remember, the denominators in a fraction tell us how many equal parts the whole is divided into, while the numerators tell us how many parts we have. By using fraction tiles and aligning them to a common denominator, our intuition helps us understand the process mathematically, giving us confidence in the rules of subtracting fractions.

The graph shows how the length of Julia's essay depends on the number of hours she spends writing. Write an equation that relates the total pages written (y) to the number of hours spent writing (x). Answer format: y=kx k must be written in the format 0.10 *

Answers

Answer:

Step-by-step explanation: Would the answer be y=0.80x because the x=10 and y=8??

Answer:

[tex]y=0.80x[/tex]

Step-by-step explanation:

Let x represent number of hours spent writing and y represent total pages written.

We have been given a graph that represents how the length of Julia's essay depends on the number of hours she spends writing.        

First of all, we will find slope of the line using point (0,0) and (5,4).

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{4-0}{5-0}[/tex]

[tex]m=\frac{4}{5}[/tex]

[tex]m=0.80[/tex]

Now, we will substitute the slope in the slope-intercept form of equation [tex]y=mx+b[/tex], where,

m = Slope,

b = The y-intercept.

We can see that y-intercept is 0.

Therefore, our required equation would be [tex]y=0.80x[/tex].

Dr.Imos plants a vegetable garden each year.He plants one fourth of his garden in corn.and one half of his garden in tomatoes,He buys 240 seeds.If he pays $0.05 per seed for all vegetables he plants, how much does he spend on seeds? use S.O.L.V.E​

Answers

Answer: $12

Step-by-step explanation:

0.05 x 240 = $12

Hope this helps!

What is the solution to 2(3x + 6) = 3(2x - 6)?

Answers

Answer:

The statement is false. 12 ≠ -18

Step-by-step explanation:

2(3x + 6) = 3(2x - 6)

6x + 12 = 6x - 18

-6x           -6x

12 ≠ -18

Find Each Difference 125 - ( -114 )​

Answers

Answer:

125-(-114)=239

Step-by-step explanation:

Change the subtraction to addition and change the negative in the second number to a positive (it's the opposite). Then add them. 125+114=239

CAN EXPLAIN FURTHER

Missing angles in triangles worksheet

Answers

Answer:

A.) = 40°   B.) = 90°   C.) = 53.5°   D.) = 34°   E.) = 90°   F.) = 52.9°   G.) = 90°

H.) = 59.6°   I.) = 119.1°  J.) = 30.4°   K.) = 90°   L.) = 72°   M.) = 107.3°

N.) = 47.7°  O.) = 36°   P.) = 90°

Step-by-step explanation:

All triangles are 180°

So:

A.) 72 + 68 = 140     180 - 140 = 40

The little boxes in the triangle indicates that the angle is a right angle. Right angles are 90°

B.) Is a right angle

C.) 36.5 + 90 = 126.5    180 - 126.5 = 53.5

D.) 56 + 90 = 146    180 - 146 = 34

E.) Is a right angle

F.) 95 + 32.1 = 127.1        180 - 127.1 = 52.9

G.) Is a right angle

H.) 30.4 + 90 = 120.4   180 - 120.4 = 59.6

To find angle I you have to find angle J first. So, because there is a box. That indicates that both angle equal 90°.

So you have to subtract H from 90° H = 59.6

J.) 59.6 - 90 = 30.4

I.) 30.5 + 30.4 = 60.9    180 - 60.9 = 119.1

K.) 45 + 45 = 90  180 - 90 = 90

L.) 33 + 75 = 108   180 - 108 = 72

M.) 37 + 35.7 = 72.7  180 - 72.7 = 107.3

N.) 92.3 + 40 = 132.3  180 - 132.3 = 47.7

O.) 54 + 90 = 144  180 - 144 = 36

P.) Is a right angle

Hope this helps : )

The missing angles are

A = 40°, B = 90°

C = 53.5°, D  = 34°

E = 90°, F = 52.9°

G = 90°, H = 59.6°

I = 119.1°, J = 30.4 °

K = 90°, L  = 72°

M = 107.3°, N =  47.7°

O = 36°, P = 90°

Sum of angles in a triangle

The Sum of angles in a triangle is 180 degrees. Therefore,

A = 180 - 72 - 68 = 40 degrees(sum of angles in a triangle)

B = 90 degrees(right angle)

C = 180 - 90 - 36.5 = 53.5 degrees(sum of angles in a triangle)

D = 180 - 90 - 56 = 34 degrees(sum of angles in a triangle)

E = 90 degrees(right angle)

F =  180 - 95 - 32.1 = 52.9 degrees(sum of angles in a triangle)

G = 90 degrees(right angle)

H =  180 - 90 - 30.4 = 59.6 degrees(sum of angles in a triangle)

I = 180 - 30.4 - 30.5 = 119.1 degrees(sum of angles in a triangle)

J =90 - 59.6 = 30.4 degrees

K = 180 - 45 - 45 = 90 degrees(sum of angles in a triangle)

L = 180 - 75 - 33 = 72 degrees(sum of angles in a triangle)

M = 180 - 35.7 - 37 = 107.3 degrees(sum of angles in a triangle)

N =  180 - 40 - 92.3= 47.7 degrees(sum of angles in a triangle)

O =  180 - 90 - 54 = 36 degrees(sum of angles in a triangle)

P = 90 degrees(right angle)

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Which linear inequality is represented by the graph?

Answers

Answer: postive

Step-by-step explanation:

Luis found a new text messaging plan which will charge him $2.00 for 80 messages. Using this plan, how much would he pay for 900 text messages in one month

Answers

Let x be # of text messages
y = 2(x/80)
Plug 900 in to x,
y = 2(900/80)
y= 22.50

Luis would have to pay $22.50

To find out how much Luis would pay for 900 messages, we first determine the cost per message using the given plan ($2.00 for 80 messages) and then multiply by the number of desired messages. Luis would pay $22.50 for 900 text messages.

To solve this, first, find the cost per message by dividing the total cost by the number of messages in the plan. Then, multiply the cost per message by the total number of desired messages.

Step 1: Calculate the cost per message.
Cost per message = $2.00 / 80 messages = $0.025 per message.

Step 2: Multiply the cost per message by the total number of messages Luis wants to send.
Total cost for 900 messages = 900 messages * $0.025 per message = $22.50.

Therefore, Luis would pay $22.50 for 900 text messages in one month using this plan.

a type of taxation in which people and businesses with higher incomes have higher tax rates is known as ?

Answers

which people and businesses with higher incomes have higher tax rates is known as Progressive tax

Prime fractorization of 47?

Answers

Answer:

1 times 47

Step-by-step explanation:

Final answer:

The number 47 is a prime number; therefore, its prime factorization is the number 47 itself.

Explanation:

The prime factorization of a number is breaking it down into prime numbers that, when multiplied together, give the original number. For the number 47, it is actually a prime number itself, which means its prime factorization is simply 47. Prime numbers are numbers greater than 1 that have no divisors other than 1 and themselves. Therefore, since 47 cannot be divided evenly by any other numbers aside from 1 and 47, it does not have a prime factorization other than being considered a factor of itself.

Andrew rounded the number 672 726 to the nearest hundred thousand he wrote 672 000 find and correct his mistake

Answers

Answer:700000

Step-by-step explanation:

The number of zeros for hundred thousand is five .Thus100,000

So you start by counting the zeros from the right hand side of the figure 672000 to the left till your counting reach 5.

So wen you get to the fifth zero check the number that it falls on . Thus 7 will be that number,And since it's greater than 5 you add 1 to the prefix of the 7 which is 6 to be become 6+1=7 , hence the answer is 700000 to the nearest hundred thousand.

Answer:

700 000

Step-by-step explanation:

Andrew rounded the number 672 726 to the nearest hundred thousand.

   Hth           TH          Th           H             T           O

     ↓               ↓             ↓           ↓             ↓            ↓

    6               7              2           7              2           6

now round the number to nearest hundred thousand.

hundred thousand digit in 672726 is 7

If rounding number is greater than equal to 5 then next number increase by 1.

If rounding number is less than 5 then next number does not change.

here rounding number is 7 > 5

So, next digit 6 change to 7

Rounded number  = 700 000

672 726   → 700 000

Andrew did

672 726   → 672 000

Mistake: Rounded to thousand instead of hundred thousand

Correct rounded number = 700 000

One line passes through the points (-6,0) and (-4,6) another line passes through the points (5,-2) and (8,7)

Is it parallel , perpendicular , or neither

Answers

Answer:

Parallel

Step-by-step explanation:

-y₁ + y₂\-x₁ + x₂ = m

[tex] \frac{2 + 7}{ -5 + 8} = \frac{9}{3} = 3[/tex]

[tex] \frac{0 + 6}{6 - 4} = \frac{6}{2} = 3[/tex]

Both rate of changes [slopes] result in three, therefore both lines are parallel.

I am joyous to assist you anytime.

Lines can be parallel, perpendicular or neither

Both lines are neither perpendicular nor parallel

The first line passes through (-6,0) and (-4,6)

The slope (m1) of the first line is:

[tex]m_1 = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So, we have:

[tex]m_1 = \frac{6-0}{-4--6}[/tex]

[tex]m_1 = \frac{6}{2}[/tex]

[tex]m_1 = 3[/tex]

The second line passes through (5,-2) and (8,7)

The slope (m2) of the second line is:

[tex]m_2 = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So, we have:

[tex]m_2 = \frac{7--2}{8-5}[/tex]

[tex]m_2 = \frac{5}{3}[/tex]

If [tex]m_1 = m_2[/tex], then the lines are parallelIf [tex]m_1 = -\frac{1}m_2[/tex], then the lines are perpendicular

None of the above conditions is true.

Hence, the lines are neither perpendicular nor parallel

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A checkers board has 64 squares. How many squares are in each row?

Answers

Answer:

8 rows and 8 columns

Step-by-step explanation:

8x8=64

Have a nice day!!!!!!! :-)

KA

There are 8 squares in each row of a standard checkers board, resulting in a total of 64 squares on the board.

We have,

A standard checkers board has 8 squares in each row.

It consists of 8 rows and 8 columns, for a total of 64 squares.

Each row has 8 squares, and each column also has 8 squares.

The rows are labelled with numbers from 1 to 8 (1 through 8), and each row contains 8 squares.

The columns are labelled with letters from A to H (A through H), and each column also contains 8 squares.

So, in each row, you have 8 squares, and since there are 8 rows in total, you have a total of:

=  8 rows * 8 squares per row

= 64 squares on the entire checkers' board.

Thus,

There are 8 squares in each row of a standard checkers board, resulting in a total of 64 squares on the board.

Learn more about expressions here:

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blem 5: James reads a 200-page book. 'On Monday he reads page 13 through page 31, next day he
reads page 47, Wednesday he decides to skip all remaining odd pages and just reads all
other even pages.
How many pages are still left James does not read yet?.​

Answers

Answer:

103  

Step-by-step explanation:

Unread pages = (a) 1 - 12; (b) 32 - 46; (c) odd numbered pages from 48 - 200

The number of pages in each range is:

(a)  n₁ = 12 - 1 + 1  = 12

(b) n₂ = 46 - 32 + 1 = 15

(c) n₃ = 200 - 48 + 1 =153

Half the pages are odd-numbered.

153/2 = 76½.

200 and 48 are both even so there are more even-numbered pages in the range.

There are 77 even-numbered and 76 odd-numbered pages.

The total of unread pages is

12 + 15 + 76 = 103

Evaluate the expression. 7⋅4+6−12÷4



The brain has been shut down, send help.

Answers

Answer:

4 is the answer

Step-by-step explanation:

Parenthesis

Exponents

Multiply

Division

Add

Subtract

or PEMDAS

does commutative property apply to subtraction


explain :

Answers

Answer:

No

Step-by-step explanation:

Commutative property  does not apply on subtraction i.e.

[tex]a - b \neq b - a[/tex]

for example-

for two numbers 3 and 2

[tex]3 - 2 = 1\\[/tex] and

[tex]2 - 3 = -1[/tex]

∴[tex]2 - 3 = 3 - 2[/tex]


[tex]y = \frac{1}{2} + \frac{w}{3} [/tex]
express w in terms of y ​

Answers

Answer:  [tex]\bold{w=\dfrac{6y-3}{2}}[/tex]

Step-by-step explanation:

Isolate w by performing the following steps

Multiply by 6 on both sides to clear the denominatorSubtract 3 from both sidesDivide both sides by 2

[tex]y=\dfrac{1}{2}+\dfrac{w}{3}\\\\\\6\bigg[y=\dfrac{1}{2}+\dfrac{w}{3}\bigg]\quad \implies \quad 6y=3+2w\\\\\\6y-3=3-3+2w\quad \implies \quad 6y-3=2w\\\\\\\dfrac{6y-3}{2}=\dfrac{2w}{2}\quad \implies \quad \large\boxed{\dfrac{6y-3}{2}=w}[/tex]

6-6x = 2(x+5) need answer please ​

Answers

Answer:

[tex]\large\boxed{x=-\dfrac{1}{2}=-0.5}[/tex]

Step-by-step explanation:

[tex]6-6x=2(x+5)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\6-6x=(2)(x)+(2)(5)\\\\6-6x=2x+10\qquad\text{subtract 6 from both sides}\\\\6-6-6x=2x+10-6\\\\-6x=2x+4\qquad\text{subtract}\ 2x\ \text{from both sides}\\\\-6x-2x=2x-2x+4\\\\-8x=4\qquad\text{divide both sides by (-8)}\\\\\dfrac{-8x}{-8}=\dfrac{4}{-8}\\\\x=-\dfrac{4:4}{8:4}\\\\x=-\dfrac{1}{2}[/tex]

Shannon and Kelly spent $135 on gift certificates for their friends during the holidays. If this amount is 5/7 their total spending money, how much spending money did they originally have? Set up an equation and solve.

Answers

Answer:

$189

Step-by-step explanation:

Let their total amount of spending money be x

given that $135 they spent is 5/7 of their total spending money,

mathematically:

135 = (5/7) x     (multiply both sides by 7)

135 (7) = 5x

945 = 5x

5x = 945  (divide both sides by 5)

x = 945 / 5

x = 189

Final answer:

Shannon and Kelly originally had $189 as their spending money.

Explanation:

Let x be the original amount of spending money.

According to the problem, Shannon and Kelly spent $135 on gift certificates, which is 5/7 of the total spending money.

This can be represented by the equation: 5/7 * x = $135.

To solve for x, we can multiply both sides of the equation by 7/5 to get x = $135 * 7/5 = $189.

Therefore, Shannon and Kelly originally had $189 as their spending money.

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Help me thank you!!!!

Answers

Answer:

Step-by-step explanation:

<1 = <5                              Corresponding angles.

<5 + <6 = 180°                  Angles making up the same straight line are supplementary.

<1 + <6 = 180°                   <1 and <5 are equal.

<6 = 180° - <1                    If we know <1 we can easily find six. It is <1s supplement.

If u varies directly with v, with k=0.6, what is the value of u when v=7.8?

a. u = 13
b. u = 0.77
c. u = 0.468
d. u = 4.68

Answers

[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{"u" varies directly with "v"}}{u=kv}\qquad \textit{we know that } \begin{cases} k=0.6\\ v=7.8 \end{cases} \\\\\\ u=(0.6)(7.8)\implies u=4.68[/tex]

URGENT: WILL MARK BRAINLIEST
Use a table to compress the function y = f(x) vertically by a factor of 1/4. Identify the graph of the function and its transformation.

Answers

Answer:

I think its A because with B and C your reflecting it across the y-axis and its asking to reflect it over the x-axis while D, is a reflection and a translation

Hope I helped :)

What is the value of x? Enter your answer in the box. ___ °

Answers

Answer:

x = 84

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5, thus

sum = 180° × 3 = 540°

Sum the given angles and equate to 540 to find x

x + 131 + 108 + 107 + 110 = 540, that is

x + 456 = 540 ( subtract 456 from both sides )

x = 84

Answer:

84 degrees.

Step-by-step explanation:

This is a pentagon . The sum of the 5 angles is 540 degrees.

x = 540 - (131 + 108 + 107 + 110)

= 84 degrees.

The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times the measure of the first angle. The third angle is 16 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles.

Answers

X measures 30°, Y measures 67°, and Z measures 83°.

Since the sum of the measures of the angles of a triangle is 180, and the sum of the measures of the second and third angles is five times the measure of the first angle, and the third angle is 16 more than the second, for find the measures of the three angles, the following calculation must be performed, posing linear equations:

X + Y + Z = 180 Y + Z = 5X Z = Y + 16

X + 5X = 180 6X = 180 X = 180/6 X = 30

Y + Y + 16 = 5 x 30 2Y + 16 = 150 2Y = 150 - 16 Y = 134/2 Y = 67

Z = 67 + 16 Z = 83

Therefore, X measures 30 °, Y measures 67 °, and Z measures 83 °.

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Final answer:

Let x, y, and z represent the measures of the first, second, and third angles of the triangle. We can create a system of equations to find the values of x, y, and z. Solving this system, we find that x = 28, y = 32, and z = 48.

Explanation:

Let's use x, y, and z to represent the measures of the first, second, and third angles, respectively.

The sum of the measures of the second and third angles is five times the measure of the first angle, so we have the equation y + z = 5x.

The third angle is 16 more than the second, so z = y + 16.

Since the sum of the measures of the angles of a triangle is 180, we have the equation x + y + z = 180.

Now we can solve these equations to find the measures of the three angles.

Substituting z = y + 16 into the equation y + z = 5x, we get y + y + 16 = 5x, which simplifies to 2y + 16 = 5x.

Substituting z = y + 16 into the equation x + y + z = 180, we get x + y + y + 16 = 180, which simplifies to x + 2y + 16 = 180.

Now we have a system of equations:

2y + 16 = 5x

x + 2y + 16 = 180

Solving this system, we find that x = 28, y = 32, and z = 48.

Learn more about Triangle angles

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What is 23.65 rounded to the nearest one

Answers

Answer:24

Step-by-step explanation:

any thing that is 5 and above rouned up

Answer:

24

Step-by-step explanation:

you look at 3, look at the right and you have to round up so its 24

Yung bought $4.60 worth of bubble gum. Each piece of gum cost $0.10. How many pieces of bubble gum did Yung buy?

Answers

Answer:

46 pieces

Step-by-step explanation:

We get n (number of pieces) as follows

n = (4.6 $) / (0.1 $/piece) = 46 pieces

Answer:

Yung bought 46 pieces of bubble gum for $4.6

Explanation:

We are given that each piece of gum cost $0.1 and that he spent $4.6 on gums

To get the number of gums he bought, we will simply use cross multiplication as follows:

1 piece .........................> 0.1

x pieces ......................> 4.6

Therefore:

[tex]x = \frac{4.6*1}{0.1}= 46[/tex] pieces of gum

Hope this helps :)

what is the value of x?

enter your answer in the box​

Answers

Hey!

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

Polygon: Heptagon

Vertices: 7

Sum of angles: 900°

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

Solution:

158 + 120 + 139 + 121 + 125 + 126 = 789

900 - 789 = 111°

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

Answer:

x = 111°

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

Hope This Helped! Good Luck!

If my bill is $160 and they’re going to takeoff 25% of the total bill how much money will I give them

Answers

$40 will be taken off the bill and you will be paying a total of $120.

Multiply 160 by .25 to find the amount taken off ($40), and then subtract from the total to find the amount that you will be paying ($120).

Have a great day!

Answer:

You will pay $120

Step-by-step explanation:

There are many methods in solving this percentage equation, but this is by far my favorite. Here is how it works.

1.Take 160, the original amount.         160

2.Then take the percent amount        .25

and convert into decimal.           ---------------------

3. Multiply the numbers                   40.00

4. Subtract the product from         160

original amount, 160.                  -    40

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

                                             $120

That is how I would get my answer. I am very sorry if the formatting messes up, but it is this basic problem:     160*.25=40.00 then 160-40=120

simplify
[tex]3 (3w - 4x) + \frac{25x - 5}{ 5 } [/tex]

Answers

Answer:

9w−7x−1

Step-by-step explanation:

Simplify the expression.

Hope this helps you :)

Theresa has $50 In her wallet. The bills are worth either $5 or $1. If there are
18 bills total, how many does she have of each type?

Answers

she should have 8 $5 and 10 $1 because 8 x 5 = 40 and 10 x 1 = 10 and if you add 40 + 10 you get 50

Answer:

There are 8, 5$ bills. And there are 10, 1$ bills.

Step-by-step explanation:

1 - 5

2 - 10

3 - 15

4 - 20

5 - 21

6 - 22

7 - 23

8 - 24

9 - 25

10 - 30

11 - 35

12 - 40

13 - 45

14 - 46

15 - 47

16 - 48

17 - 49

18 - 50

Other Questions
Katie has grown up sleeping with a fan running in her room since she was an infant. This provides white noise to drown out the television programs being watched by other family members who were still awake. In an effort to save electricity, her mother has started coming into her room and turning her fan off after she thinks Katie is asleep. However, each time Katie wakes up and asks for the fan to be turned back on. Katie is selectively attending to certain kinds of information in her surroundings, which has been linked to the ________ part of the brain. describe 2 physical and 2 social factors that could negatively influence your health A 2.60 gram sample of a compound know to contain only indium and chlorine is dissolved in 50.0 g of tin(IV) chloride (Kb = 9.43oC kg mol-1). The normal boiling point is raised from 114.1oC for pure SnCl4 to 116.3oC for the solution. What is the molecular weight and probable molecular formula of the solute? What effect will each of the following have on the supply of auto tires? (Keeping all else constant) a. A technological advance in the methods of producing tires: b. A decline in the number of firms in the tire industry: c. An increase in the prices of rubber used in the production of tires: d. The expectation that the equilibrium price of auto tires will be lower in the future than currently: e. A decline in the price of large tires used for semi trucks and earth-hauling rigs, a substitute in production. (with no change in the price of auto tires): f. The levying of a per-unit tax on each auto tire sold: g. The granting of a 50-cent-per-unit subsidy for each auto tire produced: If an arrow's mass is doubled and the speed is halved, the momentum is changed by a factor of: a) 1 b) 2 c) 0.25 d) 0.5 A single light window is designated 16 R UP . each riser is 6 high . What is the total rise of the stairs Which of the following is NOT part of the kinetic theory of gases? a. There is very little empty space in a gas. b. A gas is composed of very small particles. c. Gas particles do not attract or repel one another. d. Gas particles move faster when the temperature increases. 25.0 g of mercury is heated from 25C to 155C, and absorbs 455 joules of heatin the process. Calculate the specific heat capacity of mercury. ATP synthesis in mitochondria requires all of the following EXCEPT (select two answers) a. a hydrogen ion concentration gradient across the inner mitochondrial membrane b. the oxidation of dinucleotide molecules that act as electron carriers c. fermentation of pyruvate into lactate to regenerate NAD+ d. the reduction O2, forming H20 e. the breakdown of glucose Simplify the following expression. 2^2 2^3 The first two steps in the derivation of the quadratic formula by completing the square are shown below.Which answer choice shows the correct next step?Step 1: ax^2+ bx+c = 0Step 2: ax^2 + bx=-c A chemical reaction that releases heat to the surroundings is said to be __________ and has a __________ H at constant pressure.a)endothermic, positive b)endothermic, negativec)exothermic, negatived)exothermic, positivee)exothermic, neutral If the potential due to a point charge is 500 V at a distance of 15.0 m, what are the sign and magnitude of the charge? Fill in the blank to make the following statement true: 1,426 centigrams = _____ kilograms A : 0.01426 B : 14.26C : 1.426 D : 0.1426 Write an application that calculates and displays the weekly salary for an employee. The main() method prompts the user for an hourly pay rate, regular hours, and overtime hours. Create a separate method to calculate overtime pay, which is regular hours times the pay rate plus overtime hours times 1.5 times the pay rate; return the result to the main() method to be displayed. Save the program as Salary.java. If Ed can paint the bedroom by himself in 3 hours, and his friend , Jake, works at the same pace as Ed does , how long will it take to paint the room if the boys work together?(shoe work) as you increase the magnification,describe what happens tothefield of view? Memory for a word will tend to be better if the word is used in a complex sentence (like "the bicycle was blue, with high handlebars and a racing seat") rather than a simple sentence (like "he rode the bicycle"). This probably occurs because the complex sentence: a) Causes more rehearsal. b) Takes longer to process. c) Creates more connections. d) Is more interesting. 12 hundredths = how many tenths and hundredths As a science project, you drop a watermelon off the top of the Empire State Building. 320 m above the sidewalk. It so happens that Superman flies by at the instant you release the watermelon. Superman is headed straight down with a constant speed of 30 m/s. A) How much time passes before the watermelon has the same velocity? B) How fast is the watermelon going when it passes Superman?C) How fast is the watermelon traveling when it hits the ground?