Which of the following illustrates the truth value of the following conditional?

p: 7 + 1 = 0

q: 2 + 2 = 5

F F → T
T T → T
F T → F
T F → T

Answers

Answer 1

The truth table for implication of the equations is F F ⇒ T

What is a truth table?

A truth table is a mathematical logic table that shows the truth values of different logic statements combined by a given logic rule.

Analysis:

P: 7 +1 is not equal to 0 making P to be false(F)

q: 2+2  is not equal to 5 making q to be false(F)

so for conditional or implication, F F⇒ T

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Related Questions

The path of a ball is modelled by the quadratic function ℎ(t) = −5(t − 2)^2 + 23 where
height, h(t), is in metres and time, t, is in seconds.
a. What is the maximum height the ball reaches?

will give

Answers

Answer:

23

Step-by-step explanation:

the answer is the y intercept of the equation

Answer:

23m, at t=2s

Step-by-step explanation:

Putting the physics part aside, you can rewrite the height function as

[tex]h(t)= 23 - 5(t-2)^2[/tex]. Now you have a fixed value, 23, and you're subtracting to it a quantity that, being a square, is at least zero. The maximum value of that sum you have when you're not subtracting anything, that is 23. That happens when [tex]5(t-2)^2 = 0 \rightarrow t=2[/tex]

Alternatively, if you know how to determine the velocity from that kind of motion, you can find out the speed, and the highest altitude you reach when the speed is zero, which leads to a bunch of calculation for the same result.

Assume Pina Colada Corp. uses the periodic inventory system and has a beginning inventory balance of $5800, purchases of $65000, and sales of $112000. Pina closes its records once a year on December 31. In the accounting records, the inventory account would be expected to have a balance on December 31 prior to adjusting and closing entries that was:
a. equal to $5800
b. less than $5800
c. more than $5800
d. indeterminate

Answers

The inventory account expected to have by December 31 is more than $5800. Option C

How to calculate the end inventory

The formula for end inventory is given as ;

Ending inventory = Beginning inventory + net purchases –sales

Beginning inventory = $5800

Net purchases = $65000

Sales = $112000

Put into the formula

Ending inventory = $ [tex]5800 + 65000 - 112000[/tex]

Add first,

Ending inventory = $ [tex]70800 - 112000[/tex]

Ending inventory = $ -41, 200

Thus, the inventory account expected to have by December 31 is more than $5800. Option C

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What is the deposit of $40

Answers

The integer form is + 40.

The integer form is - 25

What is an integer?

An integer is a whole number from the set of negative, non-negative, and positive numbers.

Therefore, integers can be written without fractional components.

Hence, integers may include negative or positive numbers . Examples are -1, 2, 5, -8, 9 and many more.

A deposit of 40 dollars means gain. Therefore, the integer form is + 40.

A loss of 25 pounds mean loss. Therefore, the integer form is - 25

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Fill in the missing numbers to complete the Sequence below. 1, 2, 3, 7,-, 24,-.​

Answers

The missing numbers are 13 and 50

How to determine the numbers

Given the numbers;

1, 2, 3, 7, -, 24, -.

Find the numbers by preceding numbers together, thus;

1 + 1 =2

1 + 2 = 3

1 + 2 + 3 = 7

1 + 2 + 3 + 7 = 13

1 + 2 + 3 + 7 + 13 + 24 = 50

Thus, the missing numbers are 13 and 50

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Given that NQ ll PR, find NP

Answers

The parallel lines cuts the sides in equal proportion to give NP = 0.8

How can the length of NP be found?

The given diagram consists of a line parallel to one of the sides of the triangle.

According to the triangle proportionality theorem, the parallel line, NQ, proportionally divides the sides MR and MP, such that:

NQ || PR

By triangle proportionality theorem;

[tex]\mathbf{ \frac{ MN }{ NP} } = \frac{ MQ }{ QR } [/tex]

Which gives;

[tex] \mathbf{ \frac{ 5 }{ NP} } = \frac{ 8}{ 2 } [/tex]

2×5 = 8 × NP

NP = 8 ÷ 10 = 0.8

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Find the value of p.​

Answers

Answer:

p = 9

Explanation:

There is no remainder when a polynomial is completely divided by divisor.

Here:

divisor: (x - 6)polynomial: f(x) = x³ - 13x² + 6px - 72

Set to zero:

(x - 6) = 0x = 6

Insert into equation.

f(6) = 0

(6)³ - 13(6)² + 6p(6) - 72 = 0

216 - 468 + 36p - 72 = 0

-324 + 36p = 0

36p = 324

p = 324/36

p = 9

A student ran a distance of 3 miles each day for 5 days. Then the student ran a distance of 4 miles each day for the next 5 days
What was the total distance in miles the student ran during these 10 days?

Answers

The total distance was 35 miles. Why? Well, see below:

The student ran 3 miles each day for 5 days. That can be representative of:

Day 1: 3 miles
Day 2: 3 miles
Day 3: 3 miles
Day 4: 3 miles
Day 5: 3 miles

Adding these values together, we will find that the student ran a total of 15 miles in the first five days.

As for the next set of 5 days, we can represent this by modeling like we did above:

Day 6: 4 miles
Day 7: 4 miles
Day 8: 4 miles
Day 9: 4 miles
Day 10: 4 miles

Adding the values from the second set of days, we will find that in days 6-10, the student ran a total of 20 miles.

We can add the total values together to identify the total distance the student ran during these 10 days.

15 + 20 = 35 total miles

Hence, the student ran a total of 35 miles over the course of 10 days. If you need help, let me know and I will go ally assist you.

Foster’s answer to the question he wrote for Ranger was 7x + (–3), while Ranger’s answer was 7x – 3. They both checked their work by letting x = 5, and they both claim to be correct. Are they both correct? Explain

Answers

Answer:

Dude their answers are the same

Step-by-step explanation:

Adding a negative is the same as subtracting

Answer:

Yes, they're both correct

Step-by-step explanation:

They are both correct because both equations are equal. You could rewrite 7x + (-3) as 7x + 1(-3) and when you "distribute" the positive 1 the equation becomes 7x-3 which is the same thing as 7x-3. When you're subtracting 1 you're also technically adding negative 1

If four times a number, added to 3 is divided by the number plus 2, the result is seven halves. Find the number.
The number is…

Answers

Answer:

X=-8

Step-by-step explanation:

A number x is multiplied by 4, added to 3, and then divided by x+2, leaving us with 7/2. Or, as an equation:

[tex] \frac{4x + 3}{x + 2} = \frac{7}{2} [/tex]

Now, let's cross multiply:

[tex]2(4x + 3) = 7(x + 2)[/tex]

[tex]8x + 6 = 7x + 14[/tex]

And solve:

[tex]x + 6 = 14[/tex]

[tex]x = - 8[/tex]

The answer to this problem

Answers

Hello and Good Morning/Afternoon

Let's take this problem step-by-step:

What does the problem want:

 ⇒use the substitution method

      ⇒ to solve the problem

Let's substitute y's value from the second equation to our first equation

  [tex]2x-y=8\\y=x-3\\\\\rm \hookrightarrow 2x-(x-3)=8\\\rm \hookrightarrow 2x-x+3=8\\\rm \hookrightarrow x=8-3=5[/tex]

Now substitute the x's value into the first equation

[tex]y=x-3\\x=5\\\\\rm \hookrightarrow y=(5) - 3 =2[/tex]

The solution is (5,2)

Answer: (5,2) or (B)

Hope that helps!

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100pts!! Please help me graph this piecewise function!!!!

Answers

Answer:

Step-by-step explanation:

Attached is graphed piecewise function.

Take note, if the inequality is a less than or equal to or (more than or equal to), the dots will be solid, otherwise it will be hollow.

Since this is a piecewise function, here is one question you might want to ask yourself:

Does the limit exist when x approaches 4?

Solve for y: -20x + 10y = 30

Answers

Answer:

y = 2x + 3

Step-by-step explanation:

Hello!

Solve for y by isolating the variable.

Solve for y[tex]-20x + 10y = 30[/tex][tex]10y = 30 + 20x[/tex][tex]y = \frac{30 + 20x}{10}[/tex][tex]y = \frac{(10)(3 + 2x)}{10}[/tex][tex]y = 3 + 2x[/tex][tex]y = 2x + 3[/tex]

The solution is y = 2x + 3.

To Calculate :-

Value of y.

Solution :-

-20x + 10y = 30

Transposing (-20x) to R.H.S. sign would be changed to positive.

10y = 30 + 20x

y = 30 + 20x / 10

y = 10 (3 + 2x) / 10

Cancelling 10,

y = 3 + 2x / 1

y = 2x + 3

n the derivation of the formula for the volume of a cone, the volume of the cone is calculated to be StartFraction pi Over 4 EndFraction times the volume of the pyramid that it fits inside. A cone is inside of a pyramid with a square base. The cone has a height of h and a radius r. The pyramid has a base edge length of 2 r. Which statement best describes where the StartFraction pi Over 4 EndFraction comes from in the formula derivation? It is the ratio of the area of the square to the area of the circle from a cross section. It is the ratio of the area of the circle to the area of the square from a cross section. It is the difference of the area of the square and the area of the circle from a cross section. It is the sum of the area of the square and the area of the circle from a cross section.

Answers

The fraction π/4 comes from the the ratio of the area of the circle to the area of the square from a cross section.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that:

Volume of cone = (π/4) * volume of pyramid it fits inside

Ratio of area of cone to area of square = πr²/(2r)²  = πr²/4r² = π/4

The fraction π/4 comes from the the ratio of the area of the circle to the area of the square from a cross section.

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(B.) It is the ratio of the area of the circle to the area of the square from a cross section.

How do I solve for X?

Answers

Answer:

20

Step-by-step explanation:

To find x, note that:

Vertically opposite angles are equal.

Therefore,

(2x + 20)° = 60°

Removing bracket.

2x + 20 = 60

collecting like term.

2x = 60 - 20

2x = 40

dividing bothsides by 2

2x/2 = 40/2

x = 20

SOLVING

[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]

How do I solve for X?

[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]

Angles [tex]\bf{60^\circ}[/tex] and [tex]\bf{2x+20}[/tex] are vertical angles. They are congruent, or equal.

Thus,

[tex]\bf{2x+20=60}[/tex] | subtract 20

[tex]\bf{2x=40}[/tex] | divide the equation by 2

[tex]\bf{x=20}[/tex]

[tex]\cline{1-2}[/tex]

[tex]\bf{Result:}[/tex]

          [tex]\bf{=x=20}[/tex]

[tex]\LARGE\boxed{\bf{aesthetic \not1\theta l}}[/tex]

Need help please Asap!

Answers

The GDP and the years illustrated will be:

2016 = $149208.62017 = $157150.12018 = $161284.32019 = $161335.32020 = $144422.1

What is Gross domestic product?

It should be noted that the gross domestic product simply means the monetary value of the overall economic activity in a country.

The gross domestic product and their corresponding years have been given.

The business cycle that was illustrated showed that there was a gradual expansion before getting to the peak where recession sets in

Also, the short run Philips curve is illustrated as there's a trade off between inflation and unemployment.

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help a girl out please!

Answers

Even function
(unchanged under reflection over y-axis)

Hope this helped :)

When proving the product, quotient, or power rule of logarithms, various properties of logarithms and exponents must be used.
Which property listed below is used in all of these proofs?

Answers

When proving the properties of logarithms when exponents must be used, the property that is used in all of these is D. [tex]log_{b} (b^y) = y[/tex]

What property is used in proving the properties of logarithms?

When proving any property of logarithms that have to do with exponents, one property that should always be used is  [tex]log_{b} (b^y) = y[/tex].

Expressing y as a product of [tex]log_{b} (b^y)[/tex] is the most basic property of using exponents on logs because it has both product, quotient, and power rules of logarithms.

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Middle School Math - Problem Solving and Discovery (7-8)
Directions: Use a systemic list to solve the following problems. Make sure to show all of your work!
1. Rides Tickets: Marcy had $10.00 to spend at the state fair. She spent all of it on the ride tickets. The
rides cost either $0.50, $1.00, or $1.25 each. What are all the possible ways in which she spent her
money?

Answers

Putting different values in the variable could give the total money spend.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Marcy had $10.00 to spend at the state fair. She spent all of it on the ride tickets.

The rides cost either $0.50, $1.00, or $1.25 each.

The equation form;

0.50x + 1.00y + 1.25z = 10

Putting different values in the variable could give the total money spend.

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567 teams participate in a football tournament. If each team plays against every other team only once, how many matches will be played in total?

Answers

Given that, 567 teams participate in a football tournament, If each team plays against every other team only once, number of matches played in total is 160461.

How many matches will be played in total?

To determine the total number of matches played, we apply Combination.

ⁿCr = n! / r!( n-r )!

Given that;

Number of team n = 567Number of team in r match a = 2

We substitute

[tex]^nC_r = \frac{n!}{r!(n-r)!} \\\\^nC_r = \frac{567!}{2!(567-2)!} \\\\^nC_r = \frac{567!}{2!(565)!}\\\\^nC_r = \frac{567 * 566 * 565!}{2!(565)!} \\\\Cancel-common - factor: 565!\\\\^nC_r = \frac{567 * 566 }{2!} \\\\^nC_r = \frac{567 * 566 }{2*1}\\\\^nC_r = \frac{ 320922 }{2} \\\\^nC_r = 160461[/tex]

Given that, 567 teams participate in a football tournament, If each team plays against every other team only once, number of matches played in total is 160461.

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Line AB contains points A (8,-4) and B (1, -5). The slope of line AB is

Answers

Let, the points be A (8, −4) and B (1, −5). The slope of line AB exists 1/7.

How to estimate the slope of line AB?

Utilize the slope formula to estimate the slope of a line provided the coordinates of two points on the line.

The slope formula exists [tex]$m = (y_{2} -y_{1})/(x_{2} - x_{1} )[/tex], or the difference in the y values over the difference in the x values. The coordinates of the first point symbolize [tex]$x_{1}[/tex]and [tex]$y_{1}[/tex]. The coordinates of the second points exist [tex]$x_{2} , y_{2} .[/tex]

The slope of the line exists the ratio of the rise to the run, or rise separated by the run.

[tex]$m = (y_{2} -y_{1})/(x_{2} - x_{1} )[/tex]

The Line, AB contains points A (8, −4) and B (1, −5).

Substitute the value of points in the equation then we get

[tex]$m = (y_{2} -y_{1})/(x_{2} - x_{1} )[/tex]

m = (-5-(-4))/(1 - 8)

Simplifying the above equation, we get

m = (-5+4)/(1 - 8)

m = (-1)/(-7)

m = 1/7

Therefore, the slope of line AB exists 1/7.

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Rachel recorded the number of calls she made at work during the week:

Day Calls
Monday 18
Tuesday 14
Wednesday 24
Thursday 16

She expected to make 18 calls each day. To answer whether the number of calls follows a uniform distribution, a chi-square test for goodness of fit should be performed. (alpha = 0.10)

chi squared equals begin inline style sum from blank to blank of end style fraction numerator left parenthesis O minus E right parenthesis squared over denominator E end fraction

What is the chi-squared test statistic?

Answers

The chi-squared test statistic will be 3.11. The test statistic is contrasted with a predicted value based on the Chi-square distribution.

What is the chi-squared test statistic?

Finding the squared difference between the actual and anticipated data values, then dividing that difference by the expected data values, constitutes the test statistic.

The formula for the chi-squared test statistic is;

[tex]\sum \frac{(O_i-E_i)^2}{E_i } \\\\[/tex]

Where,

[tex]\rm O_i[/tex] is the observed value

[tex]\rm E_i[/tex] is the expected value

The chi-square test statics is;

[tex]\rm( \frac{18-18}{18} )^2 +( \frac{14-18}{18} )^2 + (\frac{24-18}{18} )^2+( \frac{16-18}{18} )^2 \\\\ 0+ \frac{16}{18}+ \frac{36}{18} +\frac{4}{18}\\\\ \frac{56}{18} \\\\ 3.11[/tex]

Hence, the chi-squared test statistic will be 3.11.

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A test requires that you answer first Part A and then either Part B or Part C. Part A consists of 6 true-false questions, Part B consists of 6 multiple-choice questions with one correct answer out of five, and Part C consists of 3 multiple-choice questions with one correct answer out of six. How many different completed answer sheets are possible?

Answers

Answer:

1,013,824 different completed answer sheets are possible

Step-by-step explanation:

So let's start with part A. There is 6 questions which have 2 options, because it's a true-false question. With the first question, you can choose 2 options, true or false, from there you can choose true or false. I've attached a diagram which further illustrates this. So as you can see as you answer each question, the amount of combinations get's multiplied by 2, or in other words, the amount of combinations can be expressed as: [tex]2^n[/tex] where n=amount of questions. Since there are 6, there are [tex]2^6[/tex] combinations which is 64 total combinations by the time you answer all 6 questions.

So now from here you can choose either part B or C, and I'm assuming you can't do both, you chose one. So we can treat them as completely separate scenarios, and then after that add the amount of combinations from doing part A/B and part A/C.

So let's start with the scenario that you do part B after part A. part B consists of 6 multiply choice questions and it has 5 options per question. If you remember, the first question, you had 2 initial options, and for each of those 2 initial options, you had 2 more (true/false), then you had 4, then for each of those 4 you had 2, then you had 8. So this relationship can generally be treated as: [tex]a^n[/tex] where a = amount of options, and n = amount of questions. This is because for each question, you're going to have a options, so the first question is going to be "a" amount of  combinations, then the second question, for each combination which is currently a, you're going to have "a" combinations, so now you have a*a combinations and so on... So here you're going to have: [tex]5^6[/tex] choices. which is 15,625. But remember, this is after doing part A. So this means you can extend these amount of combinations to the 64 amount of combinations. I attached another graph to help you understand this. This means you will have 15,625 * 64 combinations which is 1,000,000 combinations if you chose part A then part B

Now let's look at the scenario you chose part A then part C. This isn't an extension onto part B, so we can see them as two separate scenarios. So like two completely different graphs. So for part C, we can use the general equation we used in the previous question: [tex]a^n[/tex]. In this case there are 3 questions, and 6 options, so the amount of combinations is: [tex]6^3[/tex] which is 216, now for reasons explained in the previous paragraph, you need to multiply this by the 64 combinations from part A. This gives you 216 * 64 = 13,824.

So now we calculated part A/B combinations = 1,000,000

and part A/C combinations = 13,824

So adding these together you get: 1,013,824 combinations


Which mathematical figure has length but no beginning or end?
O a point
O a segment
O a line
O a ray

Answers

Answer:

The correct answer: a line

the correct answer is a line

Find the sum of the first 10
terms.
0.5,0.9,1.3,1.7,..

Answers

Answer: 23

Step-by-step explanation:

The first term is 0.5 and the common difference is 0.4.

Using the sum of an arithmetic series formula,

[tex]S_{10}=\frac{10}{2}[2(0.5)+(10-1)(0.4)]=\boxed{23}[/tex]

A list of consecutive integers begins with m and ends with n. If n - m = 66, how many integers are in the list?

Answers

Answer:

67.

Step-by-step explanation:

n - m = 66

The 66 includes the number m+1   up to and including n (buy not m).

So the number of integers is 66 +1 = 67

How do l do this?? So confused please help me

Answers

Answer:

hope they do help. in case of any questions feel free to ask.

jay sold n tickets. Pilar sold three times as many tickets as jay did. together, jay and pilar sold ten more tickets than amie sold. Which expression shows how many tickets amie sold?
A. 10 - 4n
b. 3n² + 10
c. 4n + 10
d. 4n - 10

Answers

Answer:

4n - 10

Step-by-step explanation:

Jay: n tickets

Pillar: 3n tickets

Jay + Pillar = n + 3n = 4n tickets

Now, Jay and Pillar together sold 10 more tickets than Amie, which means, in reverse, Amie sold 10 less tickets than Jay and Pillar together, so the expression for the number of tickets sold by amie would be:

4n-10 (4n is the number of tickets Jay and Pillar sold together, 10 is the difference between them and Amie).

Hola
Select the correct answer from each drop-down menu.
Identify the key features of these functions:
f(x) = 3(x + 5)² - 10
g(x) = -4x² + 3x - 1
h(x) = -0.25(x + 3)(x - 1)
The vertex of f is at
The y-intercept of g is
"The zeros of h are at

and
Submit

Answers

Vertex is (-5,-10) y intercept of g is (0,-1) zeroes of h are x=-3,1

Multiply. Simplify your answer and write it as a mixed number. 6 * 4/5

Answers

Answer:

24/5

Step-by-step explanation:

[tex]\frac{6}{1}*\frac{4}{5} = \frac{24}{5}[/tex]

SOLVING

[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]

Multiply, and simplify your answer, and write it as a mixed number,

[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]

Write the first fraction as 6/1 and multiply it times 4/5.

[tex]\bf{\dfrac{6}{1}\times\dfrac{4}{5}=\dfrac{6\times4}{1\times5}}=\dfrac{24}{5}}[/tex] | Have you noticed that we multiply the numerators together, and we do the exact same thing with the denominators?

as a mixed number

[tex]\bf{4\dfrac{4}{5}}[/tex]

[tex]\cline{1-3}[/tex]

[tex]\bf{Result:}[/tex]

                 [tex]\bf{=4\dfrac{4}{5}}[/tex]

[tex]\LARGE\boxed{\bf{aesthetic \not1\theta l}}[/tex]

QUICK PLEASE. A person invest $2000 at 4.5% simple interest for two years. make sure to show all your work.
a) What would the interest earned be after two years?
b) What would the total amount be after two years?

Answers

The total amount after 2 years is $2180

How to determine the interest?

The given parameters are:

Principal, P =$2000

Rate, r =4.5%

The interest in 2 years is calculated as:

I = PRT

So, we have:

I = 2000 * 4.5% * 2

Evaluate

I = 180

Hence, the interest after 2 years is $180

How to determine the total amount?

This is calculated as:

Amount = P + I

So, we have:

Amount = $2000 + $180

Evaluate

Amount = $2180

Hence, the total amount after 2 years is $2180

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What is the y-interceptof this line?X-10-5 0 5 10 15yl-6-5-4-3|2|1 Four transformations of the function f(x) are given below. For each transformation, drag the graph that shows the results of that transformation into the box under it. set x is made up of the possible ways five students, represented by a, B, C, D, and E, can be formed into groups of three. Says y is made up of the possible ways five students can be formed into groups of three if student a must be in all possible groups. which statements about the situation are true Which excerpt provides the best evidence that Hamlet believes King Claudius is an immoral person?HAMLET: Nothing but to show you how a king may go aprogress through the guts of a beggar.(35) KING CLAUDIUS: Where is Polonius?HAMLET: In heaven; send hither to see: if your messengerfind him not there, seek him i' the other placeyourself.But indeed, if you find him not withinthis month, you shall nose him as you go up the(40) stairs into the lobby.ResetNext Help with Geometry :/ If the economy is growing, firms with high operating leverage will experience A. higher increases in profits than firms with low operating leverage. B. smaller increases in profits than firms with low operating leverage. C. no change in profits. D. similar increases in profits as firms with low operating leverage. Tp spread (disease) from one part of the body to anther Which skilled Roman military leader and politician declared himself dictator for life?NeroCaligulaJulius CaesarDiocletian story ending with Thank God it was just a dream Who was the first scientist to us phylogenetic taxonomy What do orange and black stripes symbolize through their juxtaposition in Ch. 3 and 4, respectively?Select one:a. death and lifeb. forgiveness and revengec. heaven and helld. trick and treat Why did nuclear power lose its appeal in the USA as a promising source of alternative energy PGCPSGiven the function defined in the table below, find the average rate of change, insimplest form, of the function over the interval 3 x 6.Answer:X123456f(x)696459544944Need Help A Works Cited list is not required if all in-text citations have the author(s) and the page number(s) of the source. Select one: True False Pt2 please help???? Does all waves have the same wave length No model of federalism is exactly the same as the other. Do you agree? Why? ypes of moral philosophy discussed in the text include _______. a. teleology, utility, relativist perspective, virtue ethics, and deontology b. teleology, utility, relativist perspective, virtue ethics, and justice c. teleology, self-interest, relativist perspective, virtue ethics, and career growth d. teleology, deontology, relativist perspective, virtue ethics, and justice e. teleology, self-interest, relativist perspective, virtue ethics, and justice Question 1 of 40If f(x) = 4x - 6 and g(x) = x - 4x-8, find (f- g)(x). If quantity supplied increases 20% when price increases 10%, price elasticity of supply is.