Summary
Give an example of a proportional relationship and write an equation that represents the relationship.

Answers

Answer 1

The proportional relationship is represented by the formula, y = kx, which demonstrates that y increases at the same rate as x does

Relationships between two variables that are proportional occur when their ratios are equal.

Another way to consider them is that in a proportionate relationship, one variable is consistently equal to the other's constant value. The "constant of proportionality" is the name of this constant.The ratio of the constant values of two proportional quantities is known as the proportionality constant.When either the ratio or product of two changing values results in a constant, that pair of values is said to be in proportion.The Direct Variation and Inverse Variation types of proportions between the two provided values determine the value of the proportionality constant.The direct proportionality formula, y = kx, demonstrates that y increases at the same rate as x does. The cost per item (y), which is inversely proportional to the number of things purchased (x), is represented by the symbol y x.By using the indirect proportionality formula, y = k/x, it can be seen that when y rises, x falls, and vice versa.

Therefore the proportional relationship is represented by the formula,

y = kx .

To learn more about proportional relationship visit:

https://brainly.com/question/12917806

#SPJ1


Related Questions

A and B are sets of real numbers defined as follows.A = {x|x≤ 2}XB = {x|x < 7}Write A UB and An B using interval notation.If the set is empty, write 0.

Answers

The given sets are

[tex]\begin{gathered} A=\lbrace x:x,x\leq2\rbrace \\ \\ B=\lbrace x:x,x<7\rbrace \end{gathered}[/tex]

That means A is all real numbers from 2 to negative infinity, and B is all real numbers between 7 and positive infinity

[tex]\begin{gathered} A=(-\infty,2] \\ \\ B=(7,\infty) \end{gathered}[/tex]

Then we can find the union and intersection

[tex]\begin{gathered} A\cup B=(-\infty,2]\cup(7,\infty) \\ OR \\ A\cup B=(-\infty,\infty)-(2,7] \end{gathered}[/tex]

I will draw a sketch to show you the intersection

We can see that there is NO intersection between A and B, then

[tex]\begin{gathered} A\cap B=\lbrace\rbrace \\ A\cap B=0 \end{gathered}[/tex]

1/2 ^1/2 please show the steps

Answers

The value of  [tex](\frac{1}{2} )^{\frac{1}{2} }[/tex] is 0.707.

1÷2 = 0.5

Given, [tex](\frac{1}{2} )^{\frac{1}{2} }[/tex]

Could be written like, [tex](0.5)^{0.5}[/tex] or √(1 ÷ 2) or √(0.5)

So the value of √(0.5) is 0.707.

Another way is to factorize each integer as the product of its primes using the square root prime factorization method. Follow these methods to find the square root of a certain number using prime factorization:

Step 1: Divide the supplied integer by its decimal equivalent.

Step 2: If the connected components are identical, a pair is generated.

Step 3: Choose one of the pair members for her.

Step 4: Multiply the prime numbers you got by picking one from each pair.

Step 5: This product is the square root of the specified number.

Learn more about factorization at

https://brainly.com/question/2515494?referrer=searchResults

#SPJ1

Complete the vertical algorithm to evaluate the product.Please see image below

Answers

Solution

Complete the vertical algorithm to evaluate the product:

Therefore the product of the expression is

[tex]4.09656[/tex]

solve for the following right triangle upper a and h

Answers

we have that

[tex]undefined[/tex]

Divide using synthetic division. Write down the answer as a polynomial.x^3-5x^2-2x+24=0; (x+2)

Answers

we are given the following polynomial:

[tex]x^3-5x^2-2x+24=0[/tex]

we are asked to use synthetic division by:

[tex]x+2[/tex]

first we need to find the root of "x + 2":

[tex]\begin{gathered} x+2=0 \\ x=-2 \end{gathered}[/tex]

Now we do the synthetic division using the following array:

[tex]\begin{bmatrix}{1} & {-5} & {-2} \\ {\square} & {\square} & {\square} \\ {\square} & {\square} & {\square}\end{bmatrix}\begin{bmatrix}{24} & {} & {} \\ {\square} & {} & {} \\ {\square} & {} & {}\end{bmatrix}\begin{cases}-2 \\ \square \\ \square\end{cases}[/tex]

Now we lower the first coefficient and multiply it by -2 and add that to the second coefficient:

[tex]\begin{bmatrix}{1} & {-5} & {-2} \\ {\square} & {-2} & {\square} \\ {1} & {-7} & {\square}\end{bmatrix}\begin{bmatrix}{24} & {} & {} \\ {\square} & {} & {} \\ {\square} & {} & {}\end{bmatrix}\begin{cases}-2 \\ \square \\ \square\end{cases}[/tex]

Now we repeat the previous step. We multiply -7 by -2 and add that to the next coefficient:

[tex]\begin{bmatrix}{1} & {-5} & {-2} \\ {\square} & {-2} & {14} \\ {1} & {-7} & {12}\end{bmatrix}\begin{bmatrix}{24} & {} & {} \\ {\square} & {} & {} \\ {\square} & {} & {}\end{bmatrix}\begin{cases}-2 \\ \square \\ \square\end{cases}[/tex]

Now we repeat the previous step. we multiply 12 by -2 and add that to the next coefficient:

[tex]\begin{bmatrix}{1} & {-5} & {-2} \\ {\square} & {-2} & {14} \\ {1} & {-7} & {12}\end{bmatrix}\begin{bmatrix}{24} & {} & {} \\ {-24} & {} & {} \\ {0} & {} & {}\end{bmatrix}\begin{cases}-2 \\ \square \\ \square\end{cases}[/tex]

The last number we got is the residue of the division, in this case, it is 0. Now we rewrite the polynomial but we subtract 1 to the order of the polynomial:

[tex]\frac{x^3-5x^2-2x+24}{x+2}=x^2-7x+12[/tex]

Write two numbers that multiply to the value on top and add to the value on bottom.

Answers

The values are -3 and -26

What is Multiplication?

A product is an expression that identifies the object to be multiplied, called the result of a multiplication, or coefficient. For example, 30 is the product of 6 and 5, and x\cdot is the product of x.

We have to find the number which is multiply to give the upper value and sum up to give the bottom value

So, the value of these numbers will be

-3 x -23 = 69

-3 + (-23) = -26

Hence the values are -3 and -23

To learn more about Multiplication click on the link

https://brainly.com/question/10873737

#SPJ13

CRITICAL THINKING Find the values of a, b, and c so that the linear system shown has (---1. 2. --3) as its only solution. Explain your reasoning. x + 2y - Bra -r-y +z = b 2x + 3y - 2z=c enter your answer as follows: a=_,b=_,c=__without any spaces. Show Your Work

Answers

1) Let's set the system of linear equations:

x +2y -3z = a

-x -y +z = b

2x +3y -2z =c

2) Since the solution has already been given ( -1,2,-3) all that's left to do, is to plug it into each equation so that we can find a, b and c. Just like this:

x +2y - 3z = a ⇒ (-1) +2(2) -3(-3) = a ∴ a = 4

-x -y +z = b ⇒ -(-1) -(2) +(-3) = b ∴ b = 0

2x +3y -2z =c ⇒ 2(-1) +3(2) -2 (-3)=c ∴ c = -2

3) Hence, a = 4 b = 0 and c = -2

David has a coin collection. He keeps 9 of the coins in his box, which is 2% of the collection. How many total coins are in his collection?

Answers

Answer:  450

Work Shown:

x = total number of coins

2% of x = 0.02x = 9 coins in the box

0.02x = 9

x = 9/0.02

x = 450 coins total

The temperature in the morning was –2º F. The temperature in the evening was 9º F higher than it was in the morning. What was the temperature in the evening?

Answers

Answer:

Step-by-step explanation:

-2f

which situation can be represented by this inequality1.25x -6.50 > 50 A. Caleb has a balance of 6.50$ in his savings account and deposits 1.25$ each week. What is X the number of weeks must deposit 1.25$ in order to have a balance of more than 50$ in his savings account?B. Caleb earns 1.25% interest on the balance in his checking account and has to pay a monthly charge of 6.50$. What is X the balance that Caleb must have in his checking account in order to have an ending balance greater than 50$ after interest and fees.C. Caleb charges 1.25$ for gasoline plus 6.50$ per hour for mowing lawns. What is X the number of hours he has to mow lawns to earn more than 50$D. Caleb spends 6.50$ on supplies for a lemonade stand and sells each cup of lemonade for 1.25$. what is X the number of cups of lemonade Caleb must sell to earn profit of more than 50$

Answers

We need to find a situation that can be represented by the inequality below:

[tex]1.25\cdot x-6.5>50[/tex]

This means that there must be a variable for which each unit has a value of 1.25. There must be a fixed cost of 6.5, because we are subtracting that value and the end goal must be to have more than 50.

The only option for which this applies is the option D.

Caleb spent a fixed amount of 6.5, he earns 1.25 for each lemonade he sells and he wants to have a profit of more than 50.

Does our data provide enough evidence to prove that New York police are racially biased (in terms of use of force)? Why or why not?

Answers

We want to proof for this case if there is enough evidence to conclude that the New York police are racially biased in terms of force

From the info given is possible to see that the proportion with High level of force used is higher for Black people compared to White people. A difference of 6.3-5.8% = 0.5%.

In the other hand, we can see that for the Hands up force level, there is a significant difference between the two proportions, higher for Black compared to White with a difference of 15.1-9.7%= 5.4%

And finally when we analyze the case for No force used, we can see that there is a higher percentage for White (84.4%) compared to Black (78.7%) with a difference of 5.7%.

Based on this results we can conclude that in general the New York police is partially biased since is possible to see that for any level of force used the records are in favor of the White people.

Fin tends to exaggerate. He says if he stacked all the quarters he's ever spent on gumball machines, they would reach to the moon. The distance to the moon is about [tex]3.85 \times {10}^{8} [/tex]m and the width of a quarter is about[tex]1.75 \times {10}^{ - 3} [/tex]m. If Fin's claim were true, how many quarters has he spent on gumball machines?

Answers

For this problem we were given the distance to the moon and the width of a quarter in meters. We need to determine how many quarters we would need to stack in order to reach the moon.

In order to solve this problem, we need to divide the distance from the surface of the Earth to the moon by the width of each quarter. Notice that both numbers are presented in scientific notations, therefore we need to divide the coefficients and subtract the exponents. This is done below:

[tex]\begin{gathered} n=\frac{3.85\cdot10^8}{1.75\cdot10^{-3}} \\ n=2.2\cdot10^{8-(-3)} \\ n=2.2\cdot10^{8+3} \\ b=2.2\cdot10^{11} \end{gathered}[/tex]

If Fin's claim were true, he'd need to stack a total of 2.2*10^11 quarters.

The measure of two complementary angles are in ratio 2:3. What is the measure of the smaller angle

Answers

ANSWER

36°

EXPLANATION

Let a and b be the measures of the two angles. We know that they are complementary, so their measures add up to 90°. Also, we know that the quotient between their measures is 2/3,

[tex]\begin{gathered} a+b=90 \\ \frac{a}{b}=\frac{2}{3} \end{gathered}[/tex]

Solve the second equation for a,

[tex]a=\frac{2}{3}b[/tex]

Replace a with this expression in the first equation,

[tex]\frac{2}{3}b+b=90[/tex]

Add like terms,

[tex]\frac{5}{3}b=90[/tex]

Solving for b,

[tex]b=90\cdot\frac{3}{5}=54[/tex]

So the other angle is,

[tex]a=\frac{2}{3}b=\frac{2}{3}\cdot54=36[/tex]

Hence, the measure of the smaller angle is 36°.

Given that Kelsey has already made 10 pendants how many additional pendants must she make and sell to make a profit of 50 dollars?

Answers

Part a: Kelsey should make 36 pendants

Part b: Kelsey needs to make 26 more pendants

Rent of the booth at the craft fair = $200

The material cost of each pendant = is $7.80

The selling cost of each pendant = is $13.50

Let Kelsey make x number of pendants

Formulating the inequality equation we get:

Selling cost of each pendant*Number of pendants >= Rent of the booth + Material cost of each pendant*Number of pendants

= 13.50x >= 200 + 7.80x

Solving the inequality we get:

13.50x >=200+7.80x

5.70x >= 200

x >= 35.08

So, she should make a total of 36 pendants

Considering that she has already made 10 pendants. She needs 26 more pendants.

Although a part of your question is missing, you might refer to this full question: Kelsey makes pendants that she would like to sell at an upcoming craft fair. She must pay $200 to rent a booth at the craft fair. The materials for each pendant cost $7.80, and she plans to sell each pendant for $13.50. To make a profit, she must make more money than she spends. Kelsey has already made 10 pendants. Part A: Write and solve an inequality to show how many pendants Kelsey should make. Show the steps of your solutions. Part B: Given that Kelsey has already made 10 pendants, how many additional pendants must she make and sell to make a profit?

Learn more about inequality:

https://brainly.com/question/20383699

#SPJ9

Can someone help with 16,17 and 18 ! thank you !

Answers

In questions 16, 17 and 18 we have a right triangle and in the three cases you know the measues for 2 sides, except for hipotenuse.

We can use the following relation to solve the problem:

[tex]tg(x)=\frac{\text{Opposite side}}{Adjacent\text{ side}}[/tex]

16)

[tex]\begin{gathered} tg(x)=\frac{\text{1}7}{7}=2.4285 \\ tg(x)=2.4285 \\ x=tg^{-1}(2.4285) \\ x=68\degree \end{gathered}[/tex]

17)

[tex]\begin{gathered} tg(x)=\frac{8}{10}=0.8 \\ x=tg^{-1}(0.8) \\ x=39\degree \end{gathered}[/tex]

18)

[tex]\begin{gathered} tg(x)=\frac{\text{1}1}{8}=1.375 \\ x=tg^{-1}(1.375) \\ x=54\degree \end{gathered}[/tex]

Write an equation to represent , the balance in an account after years, with an initial investment of $1,000 with an interest rate of 3%, compounded each year.

Answers

The balance in the account after years of compound interest arrangement can be represented by the equation; Balance = 1,000 (1.03)^n.

Which equation represents the balance in the account after years of compound interest?

It follows from the task content that the equation which represents the balance in the account after years is required to be determined.

It follows that the principal amount is; $1,000 while the interest rate is; 3%.

This indicates that after each year, the new balance is 103% of the preceding balance.

Hence, the exponential equation which correctly represents the balance at any point in time is;

Balance = 1,000 (1.03)^n.

Where n = number of years after.

Read more on compound interest;

https://brainly.com/question/24924853

#SPJ1

Can Some one please help me match the congruence statements below!

Answers

[tex]\text{ AB }\cong PQ[/tex][tex]RQ\text{ }\cong\text{ CB}[/tex][tex]\angle QPS\text{ }\cong\angle BAD[/tex][tex]\angle\text{CDA }\cong\text{ }\angle RSP[/tex]

Find the 12th term in the arithmetic sequence an = 3 − 6(n − 1)a. -33b. -36c. -63d. -69

Answers

Given:

[tex]a_n=3-6(n-1)[/tex]

Find-: 12th term of the sequence is

Sol:

[tex]\begin{gathered} a_n=3-6(n-1) \\ \end{gathered}[/tex]

Where,

[tex]\begin{gathered} n=\text{ term.} \\ \\ n=12 \end{gathered}[/tex]

Put the value then:

[tex]\begin{gathered} a_n=3-6(n-1) \\ \\ n=12 \\ \\ a_{12}=3-6(12-1) \\ \\ a_{12}=3-6(11) \\ \\ a_{12}=3-(6\times11) \\ \\ a_{12}=3-66 \\ \\ a_{12}=-63 \end{gathered}[/tex]

So 12th term is -63

Answer:

-63

Step-by-step explanation:

the probability of a 4 child family having 4 girls is 0.5. is it true or false

Answers

Consider the phase space that consists of elements of the form (boy, boy, boy, boy), (girl, boy, boy, boy),...,(girl, girl, girl, girl).

There is a total of 2*2*2*2=2^4=16 possible combinations and each of them has the same probability to happen. Only one element is the case we are interested in (girl, girl, girl, girl).

Therefore, the probability of a family having 4 girls is

[tex]P(girl,girl,girl,girl)=\frac{1}{16}=0.0625[/tex]

The answer is false, the probability is 0.0625

Which relation IS a function?

Answers

Answer: B.

Step-by-step explanation: A function relates an input to an output.

The relation which is a function is: function 1.

Option A is correct.

What is Function?

A function is an expression, rule, or law in mathematics that describes a relationship between one variable (the independent variable) and another variable (the dependent variable).

A relation is a function when each input have only one output.

Function 1 have one output to each corresponding output.

Function 2 have two output for input x= 2.

Function 3 have two output for input x= 3.

Function 4 have two output for input x= 1.

Learn more about Function here:

https://brainly.com/question/12431044

#SPJ2

A cooking for the nursing home is preparing 100 yeast rolls for dinner the dry ingredients needed include 14 1/8 cups of flour 6 3/8 cups of sugar and 3/8 cups of salt how many cups of dry ingredients are in this recipe

Answers

Answer:[tex]20\frac{7}{8}cups\text{ or 19}\frac{15}{8}\text{of dry ingredients}[/tex]

Explanations:

Given the following ingredients

Cups of flour = 14 1/8 = 113/8 cups

Cups of sugar = 6 3/8 cups = 51/8 cups

Cups of salts = 3/8 cups

Calculate the total cups of dry ingredients

[tex]Total\text{ cups}=\frac{113}{8}+\frac{51}{8}+\frac{3}{8}[/tex]

Find the LCM

[tex]\begin{gathered} Total\text{ cups}=\frac{113+51+3}{8} \\ Total\text{ cups}=\frac{167}{8} \\ Total\text{ cups}=20\frac{7}{8}cups \\ Total\text{ cups}=19+1\frac{7}{8} \\ Total\text{ cups}=19+\frac{15}{8} \\ Total\text{ cups}=19\frac{15}{8}cups \end{gathered}[/tex]

Therefore there are 19 15/8 cups of dry ingredients in this recipe

27 is The same as the product of four and a number

Answers

Answer:

6.75

Step-by-step explanation:

6.75x4 = 27 so if this is what was meant by this then heres your answer

hope this helped

have a good day ^^

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 13.3 years, and standard deviation of 1.1 years.If you randomly purchase one item, what is the probability it will last longer than 10 years?Use the normal table and round answer to four decimal places

Answers

We want to find the following probability:

[tex]P(X>10)[/tex]

where X is a normal random variable with mean 13.3 and standard deviation 1.1. To find this probability let's normalize the random variable; to do this we use the z-score given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Then, in this case, we have:

[tex]P(X>10)=P(z>\frac{10-13.3}{1.1})=P(z>-3)[/tex]

Using the standard normal table, we have:

[tex]P(X\gt10)=P(z\gt(10-13.3)\/1.1)=P(z\gt-3)=0.9987[/tex]

Therefore, the probability of purchasing an item with a lifespan greater than 10 years is 0.9987

8 - 5(3 + 2x)I need help

Answers

8 - 5(3 + 2x)

open the parenthesis

8 - 15 - 10x

-7 -10x

what is the reciprocal for the fraction 5/7 ?

Answers

we know that

The reciprocal of a number is: 1 divided by the number

If you multiply a number by the reciprocal, the result is 1

so

we have

5/7

so

the reciprocal is 7/5

Verify

(5/7)(7/5)=1 -----> is ok

An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 70
grams of an alloy that contains 12% copper with 90 grams of pure copper.
(a) How many grams of copper are in the resulting mixture?
(b) What percentage of the resulting mixture is copper?

Answers

a)There is 160 grams of copper are in the resulting mixture

b) There is 61.5% percentage of the resulting mixture is copper.

What are mathematics operations?

• An operation is a function in mathematics that converts zero or more input values (also known as "operands" or "arguments") to a well-defined output value.

• The operation's arity is determined by the number of operands.

Binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse, are the most commonly studied operations.

• A zero-arity operation, also known as a nullary operation, is a constant.

• The mixed product is an example of an arity 3 operation, also known as a ternary operation

From the question:

a) Suppose that a certain alloy is made by mixing 70 grams of an alloy that contains 12% copper with 90 grams of pure copper.

The number of grams of copper in the resulting mixture = 70 grams + 90 grams = 160 grams

b)  70 grams of an alloy that contains 12% copper = 70 × 12%

= 70 grams × 0.12

= 8.4 grams

The number of grams of copper in the resulting mixture = 160 grams

The percentage of the resulting mixture that is copper is

=( 8.4 grams + 90 grams of pure copper/160) × 100

= 98.4/160 × 100

= 61.5%

Please see the link below for more information on mathematics operation :

brainly.com/question/19390809

#SPJ1

What is the measure

Answers

[tex]m\angle CAB\text{ = 36.87}[/tex]

Here, we want to get the measure of the angle marked A

We are going to use the sides given

The trigonometric ratio that links the adjacent to the hypotenuse is the cosine

The cosine is the ratio of the adjacent to the hypotenuse

Mathematically;

[tex]\begin{gathered} \cos \text{ m}\angle CAB\text{ = }\frac{12}{15} \\ \\ m\angle CAB\text{ = }\cos ^{-1}(\frac{12}{15}) \\ \\ m\angle CAB\text{ = 36.87} \end{gathered}[/tex]

Premises:
If I'm a student, then I go to school. If I go to school, then I learn.
Conclusion:
If I'm a student, then I learn.
This is an example of the Law of
?

Answers

Answer:

it's wh question I think

I really need help with number 5

Answers

Given:

Required:

To find the distance from point B to line AC.

Explanation:

The point B touches the line AC at P.

And it is perpendicular.

The length of BP is 4.3.

Therefore, the distance from point B to line AC is 4.3.

Final Answer:

The distance from point B to line AC is 4.3.

1) Consider the ratio table below that compare hours worked to money earned for an employee at a pizza restaurant. Hours Worked 4 12 16 ? Money Earned 36 ? 76 108 144 270 a. How much money would an employee earn for working 8 hours? b. How many hours did a person work if they earned $270? c. Find the ratio associated with the table above (in simplest form). d. If you extend the ratio table, how much money will be earned if an employee works 24 hours? dollars they can amount of time​

Answers

The ratio table can be used to find the amount earned and the number of hours worked based on the ratio of the values as follows;

a. A person that works for 8 hours earns $72

b. A person that earns $270 worked for 30 hours

c. The ratio is 9 : 1

d. The earnings of a person that works for 24 hours is $216

What is a ratio table?

A ratio table is one that shows the constant relationship between the value pairs on the table.

The given ratio table is presented as follows;

Hours Worked; 4, 12, 16, ?

Money Earned; 36, 108, 144,

Required;

a. The amount a person will earn if he or she works for 8 hours

Solution;

Let x represent the hours worked, and let y represent the money earned

y = k•x

Therefore;

k = y/x

From the ratio table, we have;

k = 36/4 = 108/12 = 144/16 = 9

k = 9

y = 9•x

The amount earned, y for working 8 hours, x is therefore;

y = 9 × 8 = 72

The amount earned for working 8 hours is $72

b. The number of hours worked if a person earns $270

If a person earned $270, we have;

270 = 9 × x

x = 270/9 = 30

The number of hours worked if a person earned $270 is 30 hours

c. The ratio associated with the table in the simplest form is 36 : 4 = 9 : 1

d. The amount earned if a person worked 24 hours

Solution;

y = 9•x

Which gives;

y = 9 × 24 = 216

The amount earned if a person worked 24 hours is $216

Learn more about ratio tables here:

https://brainly.com/question/2571177

#SPJ1

Other Questions
A nurse is providing care to a client confined to bed. To promote independence while the client is moving in bed and provide the client assistance in moving up in bed, which device would be appropriate?. If the two triangles shown below are similarbased on the given information, completethe similarity statement, otherwise choosethe "Not Similar" button.C2 in4 inABCA ~ AA8 inBGH16 in imagine that you are on the taco bell marketing team, and as taco bell prepares itself for developing the next iteration of their doritos loco tacos product line, your team needs to identify the process used for past product launches to manage risks and increase the likelihood of success. consider each stage from new-product strategy through commercialization assume fixed costs total $280,000 per month, the variable cost per unit is $80, and each unit sells for $150. what is the contribution margin ratio (rounded)? Type the missing number to complete the proportion. 80 minutes for 22 songs minutes for 11 songs Submit I'd angle 5=42 and angle 1=117 find the measure of angle CDF. a chemistry student uses 25.0 g of lithium sulfate to react with excess barium nitrate. the student isolates 43.5 grams of barium sulfate. what is the percent yield of this reaction? li2so4 ba(no3)2 in marketing today, packaging carries the added responsibility of multiple choice promotion and sales. minimizing product liability. gaining access to international markets. keeping product costs down. theodore invests a total of $18,500 in two accounts. the first account earned a rate of return of 14% (after a year). however, the second account suffered a 7% loss in the same time period. at the end of one year, the total amount of money gained was $490.00. how much was invested into each account? In this chapter, we quoted a legal expert as saying, In the adversary system the goal of the advocate is not to determine the truth but to win . . .. Does this mean that prosecutors and defense attorneys should behave unethically in court? Why or why not? Give an example of rules that are in place to ensure that prosecutors and defense attorneys act ethically in court proceedings. Can you touch your muscles?why How should resumes and cover letters be written to help you obtain a job that meets your career goals?. Let's call a year "nice" if its number can be represented as the difference of two powers of two. What is the next nice year? What nice year will be the first one after it? Which of the following are accurate statements regarding the importance of New World silver for Spanish trade with East Asia? Select all that apply.The Chinese would trade for any item, but the Spanish knew that silver was more valuable and took up less space than bulky European goods on its Manila-bound galleons.Chinese merchants had little interest in European goods, but would willingly trade their products for silver.The Chinese were not interested in silver, but in the Philippines, where the Spanish base was located, only silver was accepted as rent.The Chinese wanted Spanish silver because it was of higher quality than silver offered by other European nations. What is the value of this expression when m = 3 and n=1?4(mn)2 If | A + B|2 = A2 + B2, then what is replay suffix Explain how standard deviation relates to the graph of the normal curve. Review Figure 8.3 on page 68 in the e-text. 1. Between which two whole numbers is12?Convince Me!2. Which of the two numbers is a betterestimate for 12? Explain. Find the equation of the linear function represented by the table below in slope-intercept form. X -1 2 -8 5 -17 8 -26 Submit Answer Answer: D attempt 1 out of 2