Use the distributive property to simplify: 5(4x - 7)
Group of answer choices

20x-35

5x-5

35-20x

4x-35

Answers

Answer 1

Answer:

the answer is 20x -35

Step-by-step explanation:

5 x 4x = 20x

5 x -7 = -35

Answer 2

The answer options for exercise 5(4x-7) are:

A) 20x-35

B) 5x-5

C) 35-20x

D) 4x-35

To solve this exercise 5(4x-7), we organize the expression with the distributive law.

The distributive law is: a(b+c)=ab+ac.

5(4x - 7) = 5 × 4x - 5 × 720x - 35

Therefore, the correct option is alternative "A".


Related Questions

In Exercises 1 and 2, classify the triangle by its sides and by measuring its angles.

Answers

Figure 1 is representing a right-angle triangle and figure 2 is representing the isosceles triangle.

What is a triangle?

The basic polygonal shape of a triangle has three sides & three interior angles. This is one of the fundamental shapes in geometry and is particularly associated. It has three connected vertices. Triangles can be divided into a variety of categories according to their sides and angles.

As per the given diagram in the question,

For figure 1.

It is a right-angle triangle because it contains an angle of 90°.

For figure 2.

It is an isosceles triangle because according to the figure its two sides are the same which indicates that it is an isosceles triangle.

To know more about triangles:

https://brainly.com/question/2773823

#SPJ1

A town has a population of 17000 and grows at 3% every year. What will be the
population after 10 years, to the nearest whole number?

Answers

If the population grows 3% every year, then each year's population is 103% of the previous year's population.  This gives us the exponential function:    

        [tex]f(x) = 17000 (1.03)^x[/tex]

17000 for the current population, 1.03 growth factor for the 103%, raised to the x power because we'll need 103% of 103% of 103% and so on until we multiply by 103% for the correct number of years.

[tex]f(10) = 17000(1.03)^{10} \approx 22846.578448850072648[/tex]

Following standard math rounding this would round to 22,847 people.  

If you argue that last 0.57844 of a person really round up, you could argue that this is really 22,846 people.


The amount of carbon 14 present in a paint after t years is given by A(t)=Ae-0.000121. The paint contains 25% of its
carbon 14. Estimate the age of the paint.

Answers

The age of the paint is 14,290.0 years old

What is the rule of half-life?

For any particular drug, understanding the concept of half-life is helpful in calculating steady-state concentrations and excretion rates. Although different drugs have different half-lives, they all adhere to the same principle: 50% of the initial drug dose is eliminated from the body after one half-life.

What is the half-life of carbon 14?

Since radiocarbon (14C) has a half-life of 5700 30 years, it is especially helpful for dating in archaeology. However, the so-called Gamow-Teller ß-decay, an exceptional hindrance to the beta decay from 14C to 14N, is what causes this half-life to be so long.

According to the given question :-

0.18 = e^(-0.00012t)

ln(0.18) = -0.00012t

t = - ln(0.18) / 0.00012 ≈ 14289.98690076605833 ≈ 14,290.0 years old

To learn more about half-life click the following link:-

https://brainly.com/question/1160651

#SPJ1

Identify the slope and y-intercept of the line below.

Answers

Answer:

Negative slope of 3 so -3x and -9y

Step-by-step explanation:

-3x=-9y

Answer:

slope = -3 ; y- intercept = (0,-9)

Step-by-step explanation:

A (-3,0)

B(0,-9)


slope = (-9-0)/(0-(-3)

-9/3

-3

A population of lizards in a large region doubles every year. The number of lizards can be
modeled by the equation y = 500 * 2 ^ x where
× is the number of vears after a researcher
measures the population size . When x = - 3
-3what does the value of y represent ?

Answers

The value of y when x = -3 represents that the population of the lizard three years before the researcher measures the population size is 63

How to interpret the function at x = -3?

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

y = 500 * 2 ^ x

The above equation is an exponential function

Such that

x is the number of years after a researcher measures the population size

When x = -3, we have the equation to be

y = 500 * 2^-3

Evaluate the product

y = 62.5

Approximate

y = 63

This means that the value of y at x = -3 is 63

Read more about exponential functions at

https://brainly.com/question/11464095

#SPJ1

Arianna invests $5700 in a new savings account which earns 5.2 % annual interest, compounded monthly. What will be the value of her
investment after 3 years? Round to the nearest cent.

Answers

The amount will be $6660 after 3 years. It can be solved by the cocept of the compound interest.

What is compound interest?

In compound interest, the interest is added in the principal amount after the end of each term. The value after addition the interest is considered as the principal amount for the next term.

The annual interest is 5.2% hence, monthaly interest will be 5.2\12%

Apply the formula of conpound interest.

[tex]A=P(1+\frac{r}{100})^t[/tex]

Here, A is the total amount after the end of time period t, P is the initial amount, and r is the rate of intrest at which the amount is compounded.

Substitute $5700 for P, 5.2/12% for r and 36 for t. Here t is 36 becasue the amount compounded monthly and there are 36 months in a year.

 [tex]A=\$ 5700(1+\frac{5.2/12}{100})^{36}\\= \$ 6660[/tex]

Hence, the amount will be $6660 after 3 years. It can be solved by the cocept of the compound interest.

Learn more about compound interest from the following link:

https://brainly.com/question/24274034

#SPJ1

"A toy rocket is shot vertically into the air from a launching pad 7 feet above the ground with an initial velocity of 72 feet per second. The height in feet, of the rocket above the ground at t seconds after launch is given by the function h(t)=-16 t²+72 t+7. How long will it take the rocket to reach its maximum height? What is the maximum height?
The rocket reaches its maximum height at second(s) after launch.
(Simplify your answer.)
The maximum height reached by the object is feet.
(Simplify your answer.)"

Answers

The rocket reaches its maximum height at 2.25 second(s) after launch

The maximum height reached by the object is 88 feet.

What is the maximum height the rocket reached?

Given function:

h(t) = -16t² + 72t + 7

By differentiating the function, we have

h'(t) = -32t + 72

Set the function to 0

-32t + 72 = 0

32t = 72

Divide both sides by 32

t = 2.25

Hence, the time is 2.25 seconds

To find the maximum height reached by the rocket,

Substitute t = 2.25 into

h(t) = -16t² + 72t + 7

h(2.25) = -16(2.25)² + 72(2.25) + 7

= -16(5.0625) + 162 + 7

= -81 + 162 + 7

h(2.25) = 88

In conclusion, the maximum height the rocket reached is 88 feet

Read more on maximum height:

https://brainly.com/question/29530336

#SPJ1

A jewelry designer plans to make a triangular pendant out of gold wire. The wire costs​ $31.65 per centimeter. What is the possible range of costs for the​ wire?

The wire can cost more than $____ and less than $____

Answers

The wire used for the triangular pendant can have a cost more than 664.65 USD and less than 791.25 USD.

How to determine the possible lengths of the missing side

In this problem we find the case of a triangle, in which the length of two sides are known and we need to determine the range of costs associated to the set of all possible triangles. This can be derived by the geometric system described in the image attached below. The minimum and the maximum costs of the pendant:

θ = 0°

l = 10.5 cm - 2.5 cm

l = 8 cm

s = 10.5 cm + 8 cm + 2.5 cm

s = 21 cm

C = (31.65 USD / cm) · (21 cm)

C = 664.65 USD

θ = 180°

l = 10.5 cm + 2.5 cm

l = 13 cm

s = 10.5 cm + 2.5 cm + 12.5 cm

s = 25 cm

C = (31.65 USD / cm) · (25 cm)

C = 791.25 USD

To learn more on triangles: https://brainly.com/question/2272632

#SPJ1

30 PTS, SHOW YOUR WORK How much carbon dioxide will you prevent from entering the atmosphere in one year, if you replace a 100-watt light bulb with a CFL bulb that uses 30 watts in a fixture that you have on 8 hours per day? (round to the hundredths place)
(1.37 pounds of CO2 per kWh)

Answers

The amount of carbon dioxide will you prevent from entering the atmosphere in one year is 280028 lb

How much carbon dioxide will you prevent from entering the atmosphere in one year?

We are given 1.37 pounds of carbon dioxide per kWh

Using a 100-watt light bulb daily for 8 hours, for a year, the amount of carbon dioxide produced will be:

100 × 1.37 × 8 ×365 = 400040 lb

Using a 30-watt CFL bulb for 8hrs/ day for a year, the amount of carbon dioxide produced will be:

30× 1.37 × 8 × 365 = 120012 lb

Therefore, carbon dioxide prevented:

= 400040-120012

= 280028 lb

Learn more about carbon dioxide on:

https://brainly.com/question/25982723

#SPJ1

What is the solution of this inequality?

r−6>−11

Drag and drop the choices to correctly complete the inequality.
Plss help me

Answers

The solution to the inequality r - 6 > −11 will be r > -5.

How to solve inequality?

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

Based on the information, the solution to the inequality r - 6 > −11 will be solved thus:

r - 6 > −11

Collect the like terms

r > - 11 + 6

r > -5

Learn more about inequalities on

brainly.com/question/24372553

#SPJ1

19. MODELING In Example 6, 44% of the voters say they plan to reelect the mayor. The poll has a margin of error of ±3% percentage points. Use a model to write and solve an absolute value inequality to find the least and greatest percents of voters who plan to reelect the mayor.

Answers

The absolute value inequality to find the percentages is given as follows:

|P - 44| ≤ 3.

Then the percentages are given as follows:

Least: 41%.Greatest: 47%.

What is the absolute value inequality?

The estimate of the percentage is of:

44%.

The margin of error is of:

±3%.

Both the estimate and the margin of error are taken from the problem.

This means that the absolute difference between the percentage P and the estimate of 44% is of at most the margin of error of 3%, hence the inequality is given as follows:

|P - 44| ≤ 3.

The absolute difference means that the difference can be either positive or negative.

Then the lowest percentage is obtained when:

P - 44 = -3

P = -3 + 44

P = 41.

The highest percentage is obtained when:

P - 44 = 3

P = 3 + 44

P = 47.

More can be learned about absolute value inequalities at https://brainly.com/question/28229717

#SPJ1

100 Points
What is the value of the logarithmic or exponential expression?
Select True or False for each statement

Answers

Answer:

True, False, False

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

Let's simplify left sides of each statement and compare with right sides:

[tex]3^{5log_32}=3^{log_32^5}=3^{log_332}=32 \implies True[/tex][tex]2 ln\ e^{1/4}=2*1/4*ln\ e^{}=2*1/4*1=1/2\implies False[/tex][tex]e^{2ln e-1}=e^{2*1-1}=e^{2-1}=e^1=e \implies False[/tex]

Can't do this write this number in standard forms 3,000 + 1,600 + 8/10 + 3 ones what how would you solve this problem

Answers

we get the desired result after solving as 4603.8 .

What is the rule of BODMAS?

In mathematics, the BODMAS rule is a rule or order that is used to condense arithmetic expressions with several operators. When an equation has multiple operators, we must first determine the correct order in which to solve the expression. The BODMAS rule is always  used to resolve the issue of using algebraic symbols.

For this type of problem,

We generally use BODMAS

Here,

B= Bracket

O= Off

D= Divide

M= Multiply

A= Addition

S= Subtraction

Given expression,

3,000 + 1,600 + 8/10 + 3

By following above steps we get,

First we going to divide,

3,000 + 1,600 + 0.8 + 3

Then we move to addition,

4603.8

Hence we get the desired result as 4603.8

To learn more about BODMAS, visit:

https://brainly.com/question/16738857

#SPJ1

You are visiting Mexico and need to convert your U.S. dollar to the Mexican Peso. How many Mexican Peso will you have from $350?

Conversion Ratio:

$1 = Mex$20.16

Answers

Answer:

Mex$7,056

Step-by-step explanation:

$1 = Mex$20.16

$350 = x

cross multiply

$350 * Mex$20.60 = Mex$7,056

Answer: Mex$7056

Step-by-step explanation:

Make the proportion:

$1         -      Mex$20.16

$350    -          x

[tex]\displaystyle\\x=\frac{ 350(20.16)}{1} \\\\x=350(20.16)\\\\[/tex]

x=Mex$7056

Suppose Briana spends an average of 0.5 hours on each assignment from her classes
and 2 hours per day at basketball practice.
a) How much total time would be required for 4 assignments and 2 days of practice?

Answers

Answer:

6 hours I think

5(2x - 1) - 11x

evaluate the above for x = 6

Answers

Hence, the solution is [tex]-11[/tex].

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given that,

[tex]5(2x - 1) - 11x[/tex]

When [tex]x=6[/tex]

[tex]5(2x-1)-11x=5(2(6)-1)-11(6)\\=5(12-1)-66\\=5(11)-66\\=55-66\\=-11[/tex]

Hence, the solution is [tex]-11[/tex].

To know more about the equation

https://brainly.com/question/12788590

#SPJ1

HELPPPPPPPP! please!
Select all the statements that are true for any value of x.
A. 7x + (2x + 7) = 9x + 7
B. 7x + (2x - 1) = 9x + 1
C. 1/2x + (3 - 1/2x) = 3
D. 5x – (8 - 6x) = -x - 8
E. 0.4x - (0.2x + 8) = 0.2x - 8
F. 6x - (2x - 4) = 4x + 4

Answers

The statements that are true for any value of x are

A. 7x + (2x + 7) = 9x + 7C. 1/2x + (3 - 1/2x) = 3E. 0.4x - (0.2x + 8) = 0.2x - 8F. 6x - (2x - 4) = 4x + 4

How to determine the true statements?

The equations are given as

A. 7x + (2x + 7) = 9x + 7

B. 7x + (2x - 1) = 9x + 1

C. 1/2x + (3 - 1/2x) = 3

D. 5x – (8 - 6x) = -x - 8

E. 0.4x - (0.2x + 8) = 0.2x - 8

F. 6x - (2x - 4) = 4x + 4

Next, we solve one side of the equations and then compare them with the other side

So, we have the following representations

A. 7x + (2x + 7) = 9x + 7

Evaluate

9x + 7 = 9x + 7 --- true

B. 7x + (2x - 1) = 9x + 1

Evaluate

9x - 1 = 9x + 1 --- false

C. 1/2x + (3 - 1/2x) = 3

Evaluate

3 = 3 --- true

D. 5x – (8 - 6x) = -x - 8

Evaluate

11x - 8 = -x - 8 --- false

E. 0.4x - (0.2x + 8) = 0.2x - 8

Evaluate

0.2x - 8 = 0.2x - 8 --- true

F. 6x - (2x - 4) = 4x + 4

Evaluate

4x + 4 = 4x + 4 -- true

Hence, the true statements are (a), (c), (e) and (f)

Read more about expressions at

brainly.com/question/4344214

#SPJ1

A new employee charged $7220 on his credit card to relocate for his first job. After noticing that the interest rate for his balance was 27% compounded monthly, he stopped charging on that account. He wishes to pay off his balance in years using automatic payments sent at the end of each month.
a. What monthly payment must he make to pay off the account at the end of 4 ​years?
b. How much total interest will he have​ paid?

Answers

a. The monthly payment must be $193.53 in order to pay off the account at the end of 4 years.

b. The total interest paid will be $4372.02.

Its graph is a parabola tangent to the x-axis at (4,0) with y-intercept 6. find the equation showing the steps​

Answers

The equation of the line with y - intercept (0, 6) is [tex]y = -\frac{3}{2}x + 6[/tex].

What is tangent?

The straight line that "just touches" the curve at a given point is referred to as the tangent line to a plane curve in geometry. It was defined by Leibniz as the path connecting two points on a curve that are infinitely close together.

Given:

Graph is a parabola tangent to the x-axis at (4,0) with y-intercept 6.

That is there are two points (4, 0) and (0, 6).

From these two points we have to find the slope of the line.

[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{0-6}{4-0} = -\frac{6}{4} = -\frac{3}{2}[/tex]

Now to use point slope form of the line.

[tex]y-y_1 = m(x-x_1)\\ y - 6 = -\frac{3}{2}(x-0)\\ y - 6 = -\frac{3}{2}x\\ y = -\frac{3}{2}x + 6[/tex]

Hence, the equation of line is, [tex]y = -\frac{3}{2}x + 6[/tex].

To know more about tangent, click on the link

https://brainly.com/question/4470346

#SPJ1

i’ve been struggling with this and it’s due soon! pictures are below of the question.

Answers

a) If the sum of the square of the larger side is smaller than the squares of          the shorter sides, then the triangle is an acute triangle.

b) To determine if a triangle is a right triangle.

c)If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.so, the second option is correct in the picture.

What is converse of the Pythagorean Theorem?

If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

Given,Pictures

According to the  converse of the Pythagorean Theorem.

a) If the sum of the square of the larger side is smaller than the squares of          the shorter sides, then the triangle is an acute triangle.

b) To determine if a triangle is a right triangle.

c)If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.so, the second option is correct in the picture.

Therefore,

a) If the sum of the square of the larger side is smaller than the squares of          the shorter sides, then the triangle is an acute triangle.

b) To determine if a triangle is a right triangle.

c)If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.so, the second option is correct in the picture.

To find more question related to converse of the Pythagorean Theorem click on the link below:

https://brainly.com/question/343682

#SPJ1

Question
Evaluate the expression when b=9 .
24/b+8 =

Answers

The evaluated expression of 24 / b + 8 when b = 9 is [tex]10\frac{2}{3}[/tex]

How to evaluate an expression?

In maths, an expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.) .

In other words, an expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations.

Therefore, let's evaluate 24 / b + 8 when b = 9

Hence,

[tex]\frac{24}{9}+8 = \frac{24+ 72}{9}=\frac{96}{9} = 10\frac{6}{9}=10\frac{2}{3}[/tex]

learn more on expression here: https://brainly.com/question/11569874

#SPJ1

what is 3d-4 if d=1.2

Answers

Answer:

= -0.4

Step-by-step explanation:

3d-4 when d=1.2

3(1.2) - 4

3.6 - 4

= -0.4

Answer: 0.4

Step-by-step explanation:

Equation: 3d - 4

1. Substitute the variable with the given number (d = 1.2)

3(1.2) - 4

2. Solve 3 × 1.2

3.6 - 4

3. Solve

3.6 - 4 = -0.4

need help assap look at attachment

Answers

Answer: See the attachment

Step-by-step explanation: You would use the formula y=mx+b and since b is the y-intercept you would plug that into the equation and then plug in 3/4 as m resulting in

y=3/4x -1 then you just graph it!

Place a point on -1 in the y axis, (0,-1) then go up three units up and four units right, (4,2)

the number of devices a particular manufacturing company can produce is a function of the number of hours spent making the devices. On average, 4 devices are produced each hour. Assume that devices are produced at a constant rate. Write an equation in two variable that describes the number y, as a function of time the company sends making the devices x

Answers

Answer: y = 4x

Step-by-step explanation: The number of devices a company can produce is a function of the number of hours spent making the devices. On average, 4 devices are produced each hour. If we let x represent the number of hours spent making the devices and y represent the number of devices produced, we can write an equation to describe this relationship as follows:

y = 4x

This equation states that the number of devices produced is equal to 4 times the number of hours spent making the devices. For example, if the company spends 10 hours making the devices, the number of devices produced will be 4 * 10 = 40.

Therefore, the equation y = 4x describes the number of devices produced by the company as a function of the number of hours spent making the devices.

-8-x=x-4x for solving linear equations: variable on both sides. Please hurry I need the answer quickly.

Answers

Answer: -4

Step-by-step explanation:

1. Add x on both sides

-8-x=x-4x → -8=2x-4x

2. Combine like terms

-8=2x-4x → -8=-2x

3. Divide negative 2 from both sides

-8=2x → -4=x

the sign at the garbage sale said 12 paper back books could be purchased for 8$ how much 3 paper backbooks cost

Answers

[tex]\begin{array}{ccll} books&\$\\ \cline{1-2} 12 & 8\\ 3& x \end{array} \implies \cfrac{12}{3}~~=~~\cfrac{8}{x} \\\\\\ 4 ~~=~~ \cfrac{ 8 }{ x }\implies 4x=8\implies x=\cfrac{8}{4}\implies x=2[/tex]

Answer:

2$

Step-by-step explanation:

If 12 paperback books could be purchased for 8$,

We need to divide by 4 on each side to find the answer.

Therefore, 3 paperback books costs 2$.


I would appreciate it if you mark my answer as brainliest.

pls help me on this question​

Answers

Answer:

[tex]B. \;\dfrac{24}{40}[/tex]

[tex]C. \;\dfrac{3}{5}[/tex]

Step-by-step explanation:

What is one over 2 X -5 equal 10 -3 over 4X

Answers

The value of x is 15 if the expression is  1/2x−5=10−3/4x after applying the arithmetic operation.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

The expression is:

1/2x−5=10−3/4x

After solving:

5x/4 = 15

5x = 60

x = 60/5

x = 12

Thus, the value of x is 15 if the expression is  1/2x−5=10−3/4x after applying the arithmetic operation.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ1

5 / 7/10 answer in fraction form ​

Answers

Dividing Fractions

When we divide fractions, we multiply the first fraction by the second fraction's reciprocal.

Solving the Question

[tex]5\div \dfrac{7}{10}[/tex]

⇒ Multiply by the reciprocal of 7/10:

[tex]= 5\times \dfrac{10}{7}[/tex]

[tex]= \dfrac{50}{7}[/tex]

⇒ If you would like, you can change this into a mixed number fraction. The whole number value from 50/7 is 7. 7 times 7 is 49, which is 1 less than 50. 1 is the numerator and 7 is the whole number:

[tex]= 7\dfrac{1}{7}[/tex]

Answer

[tex]\dfrac{50}{7}[/tex] or [tex]7\dfrac{1}{7}[/tex]

What is a zero of the function f(x)=5x-20?

Answers

Answer:

x = 4

Step-by-step explanation:

to find the zero equate f(x) to zero , that is

5x - 20 = 0 ( add 20 to both sides )

5x = 20 ( divide both sides by 5 )

x = 4

then the zero is x = 4

Other Questions
a particular football team is known to run 30% of its plays to the left and 70% to the right. a line backer on an opposing team note that the right guard shifts his stance most of the time (80%) when plays go to the right and he uses a balanced stance the remainder of the time. when plays go to the left, the guard takes a balanced stance 90% of the time and the shift stance the remaining 10%. on a particular play, the line backer notes that the guard takes a balanced stance. i) find the probability that the play will go the left ii) find the probability that the play will go the right iii) if you were the line backer, which direction would you prepare to defend if you saw the balanced stance. There are two ways of spreading the light: to be the candle or the mirror that reflects it.meaning? When magnesium reacts with hydrochloric acid the following result occurs.A. A solid is formed.B. There is a color change.temperature changeC. There is aD. Energy is taken in. turning small offenses into major discussions might bring relational development to a halt at which stage? What did Magnus do during his first battle in Valhalla A.He became invisable and listened to Gunilla's secret attack planB.He grew wings and flew to the top of the hill to capture the flagC.he shouted and made a shock blast that knocked everybodys weapons awayD.He used the magic sword to chop off one of the world tree's giant brances marta has a tight marketing budget and needs to use a strategy that can drive customers to her website for a set cost. which bidding strategy has the potential to meet marta's needs? pls answer pls brainly in a marketing survey, 60 people were asked to rank three flavors of ice cream, chocolate, vanilla, and strawberry, in order of their preference. all 60 people responded, and no two flavors were ranked equally by any of the people surveyed. if three fifths of the people ranked vanilla last, one tenth of them ranked vanilla before chocolate, and one third of them ranked vanilla before strawberry, how many people ranked vanilla first? In terms of processor performance explain an effective measure that you would put in place to ensure that Moores law stays in effect a firm in a purely competitive industry has a typical cost structure. the normal rate of profit in the economy is 6 percent. this firm is earning $18 on every $200 invested by its founders. in the contextual intelligence leadership model, the convinces others to see different points of view by managing conflict and creating win-win situations. according to research, which specific psychological result is commonly caused by a manager who provides autonomy to an employee? group of answer choices meaningfulness of work job disatisfaction a sense of responsibility for the work koowledge of results Standardized agreements to buy or sell a specified amount of currency at a date in the future at a pre-determined price are called_____. in book sixteen of the odyssey, athena changes odysseus' appearance and tells him to reveal his identity to telemachus. after this, odysseus re-enters in his new clothes and telemachus mistakes him for ? group of answer choices which of the three cranial nerves, involved in gustation, transmits special sensory impulses from the posterior tongue as well as general sensory impulses from the middle ear? a group of nursing students is reviewing information about the types of abuse. the students demonstrate understanding of the information when they identify stalking as a crime of which of the following? use the normal distribution to approximate the following binomial distribution: a convenience store owner claims that 55% of the people buying from her store, on a certain day of the week, buy coffee during their visit. a random sample of 35 customers is made. if the store owner's claim is correct, what is the probability that fewer than 20 customers in the sample buy coffee during their visit on that certain day of the week? a) exam image b) exam image c) exam image d) exam image e) exam image f) none of the above. a rectangle has a length of 1 inches and a width of 6 inches whose sides are changing. the length is increasing by 4 in/sec and the width is shrinking at 2 in/sec. what is the rate of change of the perimeter? what do the author believes in the tell-tales heart PLEASE HELP!!!! which statement best distinguishes between the function of genes and alleles? responses genes provide variation in traits, while alleles express traits.A genes provide variation in traits, while alleles express traits.B. alleles are responsible for variation in traits, while genes are responsible for the expression of traits. C. alleles provide duplicate copies in case of mutation, while genes express all mutationsD. alleles provide duplicate copies in case of mutation, while genes express all mutations