20 is x% greater than 15
15 is y% less than 20
What do x and y equal?

Answers

Answer 1

Answer: Let's call the increase from 15 to 20 as "z".

So, 20 is (z / 15) * 100% greater than 15, or x = (z / 15) * 100.

And, 15 is (z / 20) * 100% less than 20, or y = (z / 20) * 100.

Since z is the same in both equations, we can set the two equations equal to each other:

x = (z / 15) * 100

y = (z / 20) * 100

Step-by-step explanation:


Related Questions

What is the sum of the measures of the exterior angles of any convex polygon?
A.90
B.180
C.360
D.720

Answers

Answer:

360

Step-by-step explanation:

If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is 360°

hope dis helpsssssss

Find the amount of tax and the tax rate. Round to two decimal places
Cost of item: $126
Selling price: $133.36
Tax amount: $
Tax rate:

Answers

Answer:

Tax amount: $7.36

Tax rate: 5.84%

Step-by-step explanation:

First, we have to find the tax amount by taking

$133.36 - $126 = $7.36

Tax amount: $7.36

To find the tax rate, we take

7.36 divided by 126, times 100 = 5.84%

Tax rate: 5.84%

So,

Tax amount: $7.36

Tax rate: 5.84%

The graph below is the function f(x)

Answers

The required answers are:

lim f(x) = -1

1-2-

lim f(x) = -1

1+2+

lim f(x) = -3

r2

f(2) = -3

How to solve this

Given image has a graph of the function f(x)

To find [tex]\lim_{x\rightarrow 2^-}f(x), lim f(2) 12+, lim f(x) 12 and f(2)[/tex]

We have from the image of the graph the function f(x) is a discontinuous function with x=2 is the point of discontinuity.

Now from the graph the value of f(x) at x=2 i.e. f(2) = -3 as the graph has a bold dot at y=-3.

Next [tex]\lim_{x\rightarrow 2^-}f(x)=\lim_{x\rightarrow 2^+}f(x)=-1[/tex] as in the graph of f(x) it has a small circle at y = -1.

As f(2) = -3 so [tex]\lim_{x\rightarrow 2}f(x)=f(2)=-3[/tex]

Thus the required answers are

lim f(x) = -1

1-2-

lim f(x) = -1

1+2+

lim f(x) = -3

r2

f(2) = -3

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Prove that the value of the expression (3/5x^2-0.4cy-1.5y+1)-(y^2-2/5xy+0.6x^2) does not depend on x

Answers

Therefore, we have proved that the value of the expression

(3/5x²-0.4cy-1.5y+1)-(y²-2/5xy+0.6x²) doesn't depend on x.

Expression: What is it?

In mathematics, addition, multiplication, and division are necessary. They result in the following when combined: An equation, some data, and a mathematical function Values, parameters, and mathematical operations like additions, subtractions, multiplications, and divisions can all be found in a declaration of fact. Different phrases and words can be compared and evaluated.

Here,

To prove that the value of the expression doesn't depend on x, we need to show that the x-term disappears when we simplify the expression.

Starting with:

(3/5x² - 0.4cy - 1.5y + 1) - (y² - 2/5xy + 0.6x²)

Distributing the negative sign in the second set of parentheses:

3/5x² - 0.4cy - 1.5y + 1 - y² + 2/5xy - 0.6x²

Rearranging the terms by collecting like terms, we get:

(3/5 - 0.6)x² + (2/5y - 0.4c)y - y²- 1.5y + 1

Simplifying further, we get:

(-0.1)x² + (0.4y - 0.4c)y - (y² + 1.5y - 1)

Notice that there is no x-term in the final expression, which means that the value of the expression doesn't depend on x.

Therefore, we have proved that the value of the expression (3/5x²-0.4cy-1.5y+1)-(y²-2/5xy+0.6x²) doesn't depend on x.

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after five years of owning a roth individual retirement account (ira), a person wants to buy his first home, the person can withdraw money from the roth ira

Answers

A person who has owned a Roth IRA for five years may withdraw money from the account to buy their first home. The individual has to meet certain requirements and can't withdraw more than $10,000 per person.

A Roth IRA is a type of individual retirement account that allows for tax-free withdrawals of contributions at any time, without penalty or taxes. After five years of ownership, a person who has a Roth IRA may withdraw money from the account to buy their first home. This withdrawal is known as a "first-time homebuyer distribution."

However, there are certain rules and limitations to be aware of when withdrawing money from a Roth IRA for a first home purchase. The individual must be a first-time homebuyer, defined as someone who has not owned a home in the past two years. Additionally, the maximum amount that can be withdrawn for a first home purchase is $10,000 per person.

It's important to note that while contributions to a Roth IRA can be withdrawn tax-free and without penalty, earnings on those contributions may be subject to taxes and penalties if withdrawn before age 59 and a half.

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On the defense of a football team,there are three types of players on the field.What is the probability of picking each type of player at random out of the 11 players

Answers

Answer: The probability of picking each type of player at random depends on the number of players of each type on the field. If the number of players of each type is not specified, it is not possible to determine the probability of picking each type of player at random.

Step-by-step explanation:

Zachary purchased a computer for $1,300 on a payment plan. Two months after he purchased the computer, his balance was $1,090. Seven months after he purchased the computer, his balance was $565. What is an equation that models the balance y after x months?
The equation ______ models the balance y after x months.
(Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation. Do not include the $ symbol in your answer.)

Answers

Answer:

[tex]y=-105x+1300[/tex]

Step-by-step explanation:

Define the variables:

Let x be the number of months after Zachary purchased a computer.Let y be the balance of the payment plan (in dollars).

Given information:

Purchase price of the computer = $1,300Balance = $1,090 after 2 months.Balance = $565 after 7 months.

Therefore:

x = 0, y = 1300x = 2, y = 1090x = 7, y = 565

[tex]\boxed{\begin{minipage}{8cm}\underline{Slope Formula}\\\\Slope $(m)=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.\\\end{minipage}}[/tex]

Determine if the equation is linear by calculating the slope between each pair of (x, y) points:

[tex]\implies \text{Slope}\;(m)=\dfrac{565-1090}{7-2}=-105[/tex]

[tex]\implies \text{Slope}\;(m)=\dfrac{1090-1300}{2-0}=-105[/tex]

As the slope is the same, the equation is linear.

[tex]\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}[/tex]

The initial purchase price of the computer was $1,300. So when x = 0, y = 1300.  Therefore, the y-intercept is 1300.  

We have already calculated the slope as -105.

Substitute the found slope and y-intercept into the slope-intercept formula to create an equation that models the balance y after x months:

[tex]y=-105x+1300[/tex]

y= 2x + 3

y= -3x + 3

Answers

Answer:

Below

Step-by-step explanation:

I suppose you are looking for a solution to the system of equations

  since both equations are equal to 'y' they are equal:

 2x+3  = -3x+3       add 2x to both sides of the equation

 5x + 3 = 3              subtract 3 from both sides

 5x = 0            so x = 0

  if x =0 then find y    y = 2(0) + 3 = 3

       the solution is (0,3)

Mike buys 3 oranges and 1 lemon at the
farmers market. What fraction of his
purchase were oranges?

Answers

Mike buys 3 oranges and 1 lemon at the

farmers market. What fraction of his

purchase were oranges?

answer :

3/4

Answer: 3/4

Step-by-step explanation:

there are a total of four purchases and three of them were purchases we can represent this with the fraction 3/4

find p if (p, 2p+1) is solution of 11x-2y=5​

Answers

Answer:

p = 1

Step-by-step explanation:

since (p, 2p + 1) is a solution then it makes the equation true.

substitute x = p and y = 2p + 1 into the equation and solve for p

11p - 2(2p + 1) = 5 ← distribute parenthesis and simplify left side

11p - 4p - 2 = 5

7p - 2 = 5 ( add 2 to both sides )

7p = 7 ( divide both sides by 7 )

p = 1

Can somebody help me please

Answers

93,101,109,117,125,133,141,149,157,165

93,101,109,117,125,133,141,149,157,165. The ratio is +8 (:

Please help me out! Just put these in order from the picture below.

Answers

Answer:

1) {2,0,-2}

2) {1,-3,1}

3) {1,3,5}

4) {0,1,2}

64. Use a graph to estimate the critical numbers of f(x)=| x^3-3x^2+2| correct to one decimal place.

Answers

The critical numbers of f (x) = | x³ -3x² + 2| is, x = 0 and x = 2.

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function is,

⇒ f (x) = | x³ -3x² + 2|

Now, We know that;

⇒ All the critical points are find as;

⇒ f '(x) = 0

⇒ 3x² - 6x = 0

⇒ 3x(x - 2) = 0

⇒ x = 0

⇒ x = 2

Thus, The critical numbers of f (x) = | x³ -3x² + 2| is, x = 0 and x = 2.

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Write the correct domain and range of the relation. {(-4,-4),(-1,3),(0,5),(3,9)}

Answers

Answer:

domain: {-4, -1, 0, 3}range: {-4, 3, 5, 9}

Step-by-step explanation:

You want the domain and range of the relation {(-4,-4),(-1,3),(0,5),(3,9)}.

Domain

The domain is the set of first numbers of the ordered pairs:

  {-4, -1, 0, 3}

Range

The range is the set of second numbers of the ordered pairs:

  {-4, 3, 5, 9}

Answer:

Domain: {-4, -1, 0, 3}

Range: {-4, 3, 5, 9}

Step-by-step explanation:

The Domain is the number that is on the x-axis.

The Range is the number on the y-axis.

Its quite simple. Hope this HELPED! HAVE A GOOD DAY AND NIGHT!!!!!!!!!!

Solve the formula for the indicated variable.
Z=m+mwg for m
m=
(Simplify your answer.)

Answers

The value for variable m in equation Z = m + mwg is m = Z - mwg.

What are variables?

The alphabetic character that expresses a numerical value or a number is known as a variable in mathematics. A variable is used to represent an unknown quantity in algebraic equations.

The equation is given as -

Z = m + mwg

To get the value for variable m, subtract mwg from Z and take it to left-hand side.

Z - mwg = m

Reverse the equation and get it in right form -

The equation obtained is -

m = Z - mwg

Therefore, the value is m = Z - mwg .

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What is the equation of the function that is graphed as line a?



y = 4 x - 3
y = - 1/4 x + 3
y = 1/4x + 3
y = -4 x - 3

Answers

Answer:

y = 4x - 3

Step-by-step explanation:

y = mx + b

The m is the slope and the b is the y-intercept.

The slope is 4.  If you start at the point (0,-3) and go up 4 units and then 1 unit to the right, you will be back on the line at point (2,4) The slope is the rise over the run.  The rise is 4 and the run is 1.  4/1 = 4.

The slope (m) is 4.

The y-intercept is where the line crosses the y axis.  It crosses at (0,-3)

The y-intercept (b) is -3

Plug 4 in for m and -3 in for b

y = mx + b

y = 4x -3

Answer:

[tex]y = 4x - 3[/tex]

Step-by-step explanation:

we need to find out the equation of the function that is graphed. From the given graph we can see that the line passes through points (0,-3) and (2,5) . So we can find out the slope of the line as ,

[tex]\implies m =\dfrac{y_2-y_2}{x_2-x_1}=\tan\theta\\[/tex]

[tex]\implies m =\dfrac{-3-5}{0-2} \\[/tex]

[tex]\implies m =\dfrac{-8}{-2} \\[/tex]

[tex]\implies \mathfrak{ m = 4 }\\[/tex]

Now we may use point slope form of the line to find out the equation of the line as,

[tex]\implies y - y_1 = m(x-x_1) \\[/tex]

[tex]\implies y -(-3) = 4(x-0) \\[/tex]

[tex]\implies y +3 = 4x\\[/tex]

[tex]\implies \underline{\underline{ y = 4x -3}} \\[/tex]

And we are done!

-TσηγSтαяκ

The population growth rate due to the difference in births and deaths in the U.S. is estimated to
be 0.5% per year. Given a 2001 population size of about 285 million, calculate the projected
population size in 2025. Use the exponential growth equation (N= No e"), to calculate the
population. In the equation, No is the initial population (285,000,000), r is the growth rate expressed as a
decimal (0.005), t is the number of years (25), e is a constant (defined as the base of the natural
logarithm), and N, is the population after t years.

Answers

In 2025, we would have  321 million people Since we do have an exponential growth function here.

What is exponential growth?

Exponential growth is a type of growth that occurs when the rate of increase is proportional to the current value. In mathematical terms, it can be expressed as y = ab^x.

We then have that;

P = Poe^rt

P = population at time t

Po = Initial population

r = rate of growth

t = time taken

Then;

t = 24 years

r = 0.005

Thus;

P = 285 * 10^6e^24 * 0.005

P = 321 million people

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4 divided by 2 left square brackets 2 plus 2 right square brackets equals?

Answers

The given expression "4 divided by 2 left square brackets 2 plus 2 right square brackets equals" gives the solution one divided by 2.

How to solve expressions?

4 divided by 2 left square brackets 2 plus 2 right square brackets equals?

4 ÷ 2(2 + 2)

based on the concept of PEMDAS

P = parenthesis

E = Exponent

M = Multiplication

D = Division

A = Addition

S = Subtraction

= 4 ÷ 2(4)

= 4 ÷ 8

= 4/8

= 1/2

Therefore, the correct answer is 1/2(one divided by two

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A business development manager discusses international steel production and economic development at a conference. He passes out this graphic and asks for comments. Which comment about the data is most accurate? Japan’s production has increased and shows no signs of decreasing. China’s steel production is increasing while its major competitors’ production is declining. By 2009, China’s tons of steel produced per US million ($) GDP was 50, about 10 tons less than Japan’s all-time high. At 50 tons of steel produced per US million ($) GDP, China has the highest steel production of all producers shown as of 2009.

Answers

The most accurate comment about the graph  data is: "China's steel production is increasing while its major competitors' production is declining."

A graph is what?

Academics are using graphs to logically chart or graphically depict events or quantities. A graph point is a common way to depict how different things interact. The non-linear storage structure known as a graph is made up of nodes, also referred to as vertices, and lines. Glue ought to be used to connect the edges, also known as nodes , respectively.  (4.5).

Here,

The most accurate comment about the data is: "China's steel production is increasing while its major competitors' production is declining."

This is because the graph shows that China's steel production has been steadily increasing since the early 2000s, while the steel production of other major producers such as Japan, the United States, and Germany has been declining or stagnant. This trend is particularly evident after the global financial crisis of 2008-2009.

While it is true that Japan's steel production has increased and shows no signs of decreasing, this comment does not address the overall trend of declining steel production among major producers.

The other two comments are not accurate. The statement "By 2009, China’s tons of steel produced per US million ($) GDP was 50, about 10 tons less than Japan’s all-time high" is not supported by the graph, as there is no information about tons of steel produced per US million ($) GDP on the graph.

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ax-b=4 if a≠0
please help immeditatlyl
jfasjflsajdflskadjfsadfsadf

Answers

Answer:

Graphical form: Ax-b=4 simplifies to Ax-b-4=0

Text form: Ax-b=4 simplifies to Ax-b-4=0

Cartoon (animation) form: simplify_cartoon%28+Ax-b=4+%29

For tutors: simplify_cartoon( Ax-b=4 )

Step-by-step explanation:

can someone tell me how i find answer for this problem?

Answers

Answer:

  P(x) = x²(x +1)(x -2)²

Step-by-step explanation:

You want the 5th degree polynomial with leading coefficient 1 that has roots of 0 and 3, each with multiplicity 2, and a root of -1.

Factors

You recall that a polynomial with root p has (x -p) as a factor. A root that is repeated m times has multiplicity m.

You recall that an exponent is used to signify the number of times a factor is repeated.

The factored form of P(x) is then ...

  P(x) = (x -2)²(x -0)²(x -(-1)) . . . . . roots 2 and 0 repeated twice, root -1

  P(x) = x²(x +1)(x -2)²

__

Additional comment

If you like, you can multiply it out and collect terms. The result will be ...

  P(x) = x⁵ -3x⁴ +4x²

At a music store, Rita got a $12 discount on an item originally priced at $48. What percent discount did she get?

Answers

Answer:

a $12 discount like what is it soupoust to be

Which three criteria do binomial experiments meet? There are only two trials. The trials are independent. There are only two outcomes per trial. Each outcome is repeatable. The probability of success is the same for each trial.

Answers

The three criteria that binomial experiments meet are :

The trials are independent. There are only two outcomes per trial. The probability of success is the same for each trial.

What criteria should binomial experiments meet ?

The experiment is referred to as a binomial experiment since there are only two possible output values in a binomial experiment. In the case of binomial experiments, the number of independence variables is fixed.

In the case of binomial experiments, the number of independence variables is fixed. The total number of output values for the binomial experiment is 2. For the binomial experiment, each of the two outputs has a 50% chance of happening—50% for success and 50% for failure.

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Answer:

B. The trials are independent.

C. There are only two outcomes per trial.

E. The probability of success is the same for each trial.

Step-by-step explanation:

and then

B. a survey asking 50 people if they like pizza

C. a survey measuring 50 people to see if they are over 6 feet tall

What would 73,412 be rounded to the nearest thousand

Answers

it’s 73 to the nearest thousands
the answer would be 73,000 since the 4 in 73,412 is less than 5 therefore, it would go down

Pls help

I will give 65 points for the first person to answer my question.

Thank you!

Answers

first off let's check how much is 5% of hmmm say "x"

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{5\% of x}}{\left( \cfrac{5}{100} \right)x}\implies 0.05x[/tex]

so if we increase "x" by that much, that's just "x + 0.05x" = 1.05x.  Now, let's find how much is 5% of that

[tex]\stackrel{\textit{5\% of 1.05x}}{\left( \cfrac{5}{100} \right)1.05x}\implies (0.05)(1.05x)\implies 0.0525x \\\\\\ \stackrel{\textit{now let's add that, to 1.05x}}{1.05x~~ + ~~0.0525x}\implies 1.1025x[/tex]

so our "x" went up by 0.1025x, now let's conver that to a percent, 0.1025 * 100 = 10.25%.

Find the principal value of Arctan (-1.44) to the nearest minute.

Answers

Answer: To find the principal value of arctan(-1.44) to the nearest minute, we first need to find the value of arctan(-1.44) in radians.

We can use the arctan function in a mathematical software or calculator to find the result. The value of arctan(-1.44) in radians is approximately -0.8623.

Next, we convert the result from radians to minutes, by multiplying the radians by 180/π and then multiplying the result by 60.

-0.8623 * 180/π * 60 = -50.47 minutes

So the principal value of arctan(-1.44) to the nearest minute is approximately -50 minutes.

Step-by-step explanation:

I’m a lil bit confused please help

Answers

Answer:

5000

Step-by-step explanation:

10×16=160

160 Btu?

is 5000

because the closesd value in the graph is 5000

for 160

what is 8 1/6-3 7/12​

Answers

Answer: 4 7/12

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{8\dfrac{1}{6} - 3 \dfrac{7}{12}}[/tex]

[tex]\mathsf{= \dfrac{8\times6 + 1}{6} - \dfrac{3\times12 + 7}{12}}[/tex]

[tex]\mathsf{= \dfrac{48 + 1}{6} - \dfrac{36 + 7}{12}}[/tex]

[tex]\mathsf{= \dfrac{49}{6} - \dfrac{43}{12}}[/tex]

[tex]\mathsf{= \dfrac{49}{6}\times\dfrac{2}{2} - \dfrac{43}{12}\times\dfrac{1}{1}}[/tex]

[tex]\mathsf{= \dfrac{49\times2}{6\times2} - \dfrac{43\times1}{12\times1}}[/tex]

[tex]\mathsf{= \dfrac{98}{12} - \dfrac{43}{12}}[/tex]

[tex]\mathsf{= \dfrac{98 - 43}{12 - 0}}[/tex]

[tex]\mathsf{= \dfrac{55}{12}\rightarrow 4\dfrac{7}{12}}[/tex]

[tex]\huge\text{Therefore your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{4\dfrac{7}{12}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

You own a motel with 30 rooms and have a pricing structure that encourages rentals of rooms in groups. One room rents for $85.00, two for $83.00 each, and in general the group rate per room is found by taking $2 off the base of $85 for each extra room rented.

(c) Find a formula for a function R = R(n) that gives the total revenue from renting rooms to a convention host.
(d) Use functional notation to show the total revenue from renting a block of 9 rooms to a group. Calculate the value.

Answers

The formula for a function R = R(n) is R(n) = n(85 - 2n) and the total revenue for 9 room is $603

How to determine the formula for a function R = R(n)

From the question, we have the following parameters that can be used in our computation:

Base fee = $85.00

Rate = $2 off

Using the above as a guide, we have the following:

R(n) = n(85 - 2n)

Where n is the number of rooms

The value of block of 9 rooms

This means that

n = 9

So, the notation is

R(9)

The value is

R(9) = 9 *(85 - 2 * 9)\

R(9) = 603

Hence, the value is $603

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Which elements listed below are required for an inverse trig problem to find a missing angle?
*check all that apply
A right triangle
The length of at least one side
The measure of at least one angle
The length of at least 2 sides

Answers

The elements listed above that are required for an inverse trig problem to find a missing angle include the following:

A. A right triangle.

D. The length of at least 2 sides.

What is a right angle?

In Mathematics, a right angle can be defined as a type of angle that is formed in a triangle by the intersection of two (2) straight lines at 90 degrees. This ultimately implies that, a right angled triangle has a measure of 90 degrees.

Generally speaking, the length of at least two (2) sides is an element that is required for an inverse trig problem in order to find a missing angle in a right angled triangle.

In conclusion, both a right triangle and the length of at least two (2) sides must be provided in order to find a missing angle in a right angled triangle.

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a person sings musical note which has a frequency of 256 Hz , how many times do the person's vocal chords vibrate each second ? based on the information in the table, what is the most the agency would be willing to pay the fifth operator? according to updated nutrition labeling laws, the content of which of these two minerals must be listed on the nutrition facts panel? group of answer choices copper and potassium chromium and magnesium zinc and phosphorus fluoride and chloride calcium and iron which trait in gottfredson and hirschi's low self-control theory is most related or deals with the trait of vanity or a lack of consideration for others? Can someone explain how to do this question step by step, please? Is salt a physical or chemical? Which excerpt from "Morte d'Arthur" by Alfred, Lord Tennyson contains imagery?the last of all his knightsa dark strait of barren landShall never more, at any future timeOf Camelot, as in the days that were which of the following is an important state legislative power that works concurrently with many congressional powers?A. Enumerated power B. Police power c. Independent checks D. Taxing power why did Britain and france back out of their agreement to defend Czechoslovakia? during the prussian revolution in 1848, why did the alliance between middle-class liberals and workers dissolve? you enjoy the daily show both as a television comedy and as a means for learning about current events and political viewpoints. this is an example of using I NEED THIS ANSWERED U WILL GET 60 POINTSBased on the information in the excerpt, what inference can be made about Sonias job performance?PART AInstead of giving up, Sonia uses her mistakes in court to figure out how to improve what she does.Sonia must work minor cases for some time before her bosses feel she is ready for more difficult work.Although she does well in law school, Sonia is not prepared to try cases when she starts in the DA's office.The fact that English is not Sonias native language makes her job as a lawyer more challenging.Question 2Part BHighlight the sentence that best supports the answer to Part A. 23. You are involved in site investigation for large-scale Concrete dam construction in a certain area. The site is characterized by rocks of different types. The main rock types at the dam site are limestones and dolomites and these rocks are highly jointed at the surface. The area is characterized by hot and humid climate and with heavy precipitation during summer. The site investigation included surface mapping, in- situ field-testing, drilling, and laboratory testing. The in-situ field test (plate load test) has a surface area 1m*1m while the cylindrical laboratory sample has a diameter of 54mm. a. The value of the strength from field and laboratory testing is different. Which value do you expect to be larger? Why? b. Which value (from field or from laboratory) do you recommend to be used in calculations for the dam foundation design? Why? LetXbe an affine variety. Show that the coordinate ringA(X)is a field if and only ifXis a single point. In the rest of this chapter we want to study the basic properties of the operationsV()andI(). a popular burger joint has greatly reduced the size of its servings. many customers take to social media to complain. which action is most likely to discourage customers from returning? "If you are capable of learning from experience, you can acquire leadership." This statement is characteristic of leadership as a(n) ____.A. relationshipB. traitC. skillD. abilityE. behavior National results for the SAT test show that for college-bound seniors, the average combined SAT writing, math, and verbal score is 1500. The standard deviation is 250. National results for the ACT test show that for college-bound seniors, the average composite ACT score is 21 and the standard deviation is 5. Both the ACT and SAT are normally distributed so the Empirical Rule can be applied to their distributions. What percentage of seniors will score a 31 or higher on the ACT? Calcium carbonate decomposes at high temperatures to form carbon dioxide and calcium oxide. CaCO3 --> CO2 + CaO (YOU MUST BALANCE FIRST)Determine how many grams of calcium carbonate I will need to form 3.45L of carbon dioxide? Assume the pressure is 1atm and the temperature is 273K. ______ g CaCO3 (3 sig figs)50 points 4. Anthony wanted to make his own soup can label. The soup can is shaped like a cylinder. The can has a diameter of 16 cm and a height of 8 cm. About how much paper did heused to create the label (lateral)? (If necessary, use T = 3. 14 ) Which of the following is the recommended targeted savings rate for someone who is 3040 years old?