Anyone have the proper answer to this?

Anyone Have The Proper Answer To This?

Answers

Answer 1
The translation rule used here is (x+2 , y+4).

So the image of (-7,3) will be:

(-7+2 , 3+4)
(-5 , 7)

So the answer is (-5,7).

Hope this helps :)



Related Questions

Which inequality represents the following sentence?
Twelve fewer than a number is at least 18.

12 + x ≤ 18
x – 12 ≥ 18 (This one correct?)
12 – x ≥ 18
x – 12 < 18,

Answers

x – 12 ≥ 18 Let's break down the sentence and create an inequality from it. We'll use X to represent the number. "Twelve fewer than a number is at least 18." The "Twelve fewer than a number" indicates subtraction, so let's do that. X - 12 "is at least 18." would be a greater than or equal relationship. So we have X - 12 ≥ 18 And we're done. The desired equation is: x – 12 ≥ 18

Answer:

B) x - 12 ≥ 18.

Step-by-step explanation:

Given : Twelve fewer than a number is at least 18.

To find : Which inequality represents the following sentence?.

Solution : We have given

Twelve fewer than a number is at least 18.

Let the number be  x .

According to question :

Twelve is less than a number x .

x - 12  ( negative sign used for fewer).

x - 12 ≥ 18.

Here we used greater than equal to sign because x- 12 is at least 18 mean is must be 18 or greater than 18.

Then equation become x - 12 ≥ 18.

Therefore, B) x - 12 ≥ 18.

Find sec θ if θ is in Quadrant IV and sinθ=-1/5

Answers

we know that
sec θ=1/cosθ
 if θ is in Quadrant IV--------------> sec θ  is positive, because the cosθ is positive
sinθ=-1/5
sin²θ+cos²θ=1--------------> cos²θ=1-sin²θ-----------> 1-(1/5)²=24/5
cosθ=√(24/5)----> 2√6/√5
secθ=1/cosθ--------> 1/(2√6/√5)---------> √5/(2√6)=√30/12

the answer is secθ=√30/12

Answer:

i got the answer 5(sqrt6)/12

Can someone please help me with this question?! (geometry)

Answers

Answer:

  see below

Step-by-step explanation:

The arc length (s) can be found in terms of angle (θ) and radius (r) as ...

  s = rθ

Dividing by r gives ...

  s/r = θ

Since the angles are the same for the two circles, the ratios of interest are ...

  [tex]\dfrac{s_1}{r_1}=\dfrac{s_2}{r_2}=\theta [/tex]

-21 - 7x = 8x + 24 How do you solve this?

Answers

-21 - 7x = 8x + 24
add 21 to both sides

-7x= 8x + 45
subtract 8x from both sides

-15x= 45
divide both sides by -15

x= -3

Hope this helps! :)

Melinda goes blowing on Saturday afternoon. She bowls three games nand pays for shoe rental. Define a variable and write an expression to represent the total cost Melinda pays. Then find the total cost if one game cost 4$

Answers

x= cost, s=shoes, g= game
x=s+3(g)
x=s+3(4)—> cost is 12$ plus whatever the price of shoes

Choose an equation for the relationship between the measures of the segments, angles, and arcs.

Answers

The answer would be the first one, (Angle QPT is equal to 1/2 (QT -QS). You would just need to use and input in the formula that finds angle measurements based on far and near arcs.

The bar graph shows the z-score results of four employees for two different work weeks.

Which employee had the least earnings for Week 1?



Usan

Percy

Oberto

Michael

Answers

We observe that week 1 is represented by the color blue.
 Therefore, you should check the bars in blue for the four employees.
We observe that the smallest z-cores is -0.5.
 Therefore, Oberto has the lowest earnings for week 1.
 Answer: 
 Oberto had the least earnings for Week 1

what is the range of y=3cosx-1?
a) -4 ≤ x ≤ 4
b) -4 ≤ x ≤ 2
c) -3 ≤ x ≤ 3
d) -2 ≤ x ≤ 0

Answers

 For this case we have the following equation:
 [tex]y = 3cosx-1 [/tex]
 We must find the maximum and minimum values of the equation to find the range. 
 We have then:
 For x = 0
 [tex]y = 3cos (0) -1 y = 3 (1) -1 y = 3-1 y = 2[/tex]
 For x = pi
 [tex]y = 3cos ( \pi ) -1 y = 3 (-1) -1 y = -3-1 y = -4[/tex]
 The range of the function is given by:
 [-4, 2]
 Equivalently,
 -4 ≤ x ≤ 2
 Answer:
 b) -4 ≤ x ≤ 2

Answer:  The correct option is (b) [tex]-4\leq y\leq 2.[/tex]

Step-by-step explanation:  We are given to select the correct range of the following function

[tex]y=3\cos x-1.[/tex]

We know that the range of the cosine function is from - 1 to 1.

That is,

[tex]-1\leq \cos x\leq 1\\\\\Rightarrow -(1)\times 3\leq 3\times \cos x\leq 3\times 1\\\\\Rightarrow -3\leq 3\cos x\leq 3\\\\\Rightarrow -3-1\leq 3\cos x-1\leq 3-1\\\\\Rightarrow -4\leq 3\cos x-1\leq 2\\\\\Rightarrow -4\leq y\leq 2.[/tex]

Thus, the range of the given function is [tex]-4\leq y\leq 2.[/tex]

Option (b) is CORRECT.

How to solve for the third side of an isosceles triangle?

Answers

you can easily solve third side of isosceles triangle by using formula:- 4(l-h)(l+h) where l is length of same sides and h is height of triangle

Which of the equations below shows the relationship in the table? [X] [15] [5] [3] [1] ------------------------------------------ [Y] [1] [3] [5] [15]] A. y = 15x B. y = x - 14 C. y = x + 2 D. y = 15 x

Answers

y=15/x or xy=15 it seems that a should be 15/x

A garage contains a combination of 20 bikes and tricycles. In total, there are 44 wheels. How many bikes and how many tricycles are in the garage.

Answers

Final answer:

The solution explains how to find the number of bikes and tricycles in a garage based on the total number of wheels and the given combination.

Explanation:

The question: A garage contains a combination of 20 bikes and tricycles. There are a total of 44 wheels.

Step-by-step solution:

Let's denote the number of bikes as B and the number of tricycles as T.

Each bike has 2 wheels, so the total number of wheels contributed by the bikes is 2B.

Each tricycle has 3 wheels, so the total number of wheels contributed by the tricycles is 3T.

Given that the total number of wheels is 44, we can form the equation: 2B + 3T = 44.

Since there are 20 bikes and tricycles in total, we have the equation: B + T = 20.

Solving the system of equations, we find that there are 12 bikes and 8 tricycles in the garage.

For which of the following displays of data is it not possible to find the mean?(Expert and Ace only please)

frequency table
line plot
stem-and-leaf plot
histogram

Answers

Answer:

The histogram

Step-by-step explanation:


It is difficult to find mean of a histogram

What is Histogram ?

It is a chart that help in visualize the distribution of values in a dataset.

It is difficult to find mean just by looking at the data of the histogram

Hence , d) Histogram is the answer

Learn more about Histogram :

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Given an exponential function for compounding interest, A(x) = P(1.04)x, what is the rate of change?

A. 0.04%
B. 1.04%
C. 104%
D. 4%

Answers

The given expression is

[tex] A(x) = P(1.04)^x [/tex]

Which can also be written as

[tex] A(x) = P(1+0.04)^x [/tex]

And the formula of compound interest is

[tex] A(x) = P(1+r)^x [/tex]

On comparing, we will get rate of change equals to 0.04 or 4 %.

So the correct option is the last option .

Which graph matches this situation

Answers

Well, one way to eliminate the possible options, is to look for the point of the starting mass, which is 8 milligrams. This eliminates graphs A and B, this leaves graphs C and D, knowing the mass is decreasing and not increasing, the correct graph would be D.

We can check this, by taking the mass of the substance and dividing it by 2, the remaining mass of the substance would be 4 mg.










HELP PLEASE!!
Which is greater, the total volume of three spheres, each of which has a diameter 3 in., the volume of one sphere that has a diameter 8 in., or the volume of a hemisphere with a diameter of 9 in.?
a) The volume of three spheres, each with a diameter of 3 inches, is greater.
b) The volume of one sphere with a diameter of 8 inches is greater.
c) The volume of the hemisphere with a diameter of 9 in. is greater.
d) The two volumes are the same.,

Answers

Volume of the Sphere V = 4/3pi x r^3 So when diameter d = 3 inches => r = 1.5 inches volume of the sphere = 4.188 x r^3 = 4.188 x 1.5^3 = 14.14 in So when diameter d = 8 inches => r = 4 inches volume of the sphere = 4.188 x r^3 = 4.188 x 4^3 = 268.03 in So when diameter d = 9 inches => r = 4.5 inches volume of the sphere = 4.188 x r^3 = 4.188 x 4.5^3 = 381.63 in value for option (a) is 3 x 14.14 = 42.42 inches value for option (b) is 268.03 inches value for option (c) is 381.63 / 2 = 190.815 inches So the correct option would be (b)

Answer:

Step-by-step explanation:

Answer:

Here is my answers for the practice that I have come across. It may be the new one. I also shortened it.

1. find the SA of a grape fruit with a c of 14cm.

62 cm^2

2. a sphere has a volume of 900 ci. find SA

451

3. a solid metal cube with an edge length of 9 in is melted and reshaped into a sphere. which is SA of sphere

391.7

4. the sphere below fits snugly inside a cube with 6 in edges what is the v of the space between the sphere and the cube

102.9

5. find the v in terms of pi of a sphere with a SA of 9 pi square feet

9/2 pi ft^3

6. which of the following is the greatest the total v of 3 sphere each of which a diameter of 5 in the v of one sphere that has a diameter 8 in or the v of a hemisphere with a diameter of 10 in

the v of 1 sphere with a diameter of 8 in is greatest

7. a sphere has center  0 0 0 and a radius of 5

0 -3 4

8. find v of figure the diameter of the base is 4 cm

46/3 pi cm^3

9. a sphere with a radius of 5 cm fits inside a box every face is tangent to the sphere

6 pi

10. tennis balls are sold in packs of 3 and come packaged in a plastic cylindrical container there is no space between

69 square inches

Step-by-step explanation:

There are a total of 18 chairs. If the ratio of the red chairs tobrown chairs is 2 to 4, how many of them are red?

Answers

The end ratio is 3:3 I think do there are 12 red chairs

Answer:Of the 18 chairs, 6 are red

Step-by-step explanation:

Given total no of chairs =18

Ratio of red chairs to brown chairs =2:4=[tex]\frac{2}{4}[/tex]

So there are 6(2+4) parts chair out of which 2 are red and 4 are brown

∴ 6 part equals 18 chairs

1 part equals [tex]\frac{18}{6}[/tex]

=3 chairs

Now 2 part equals 2×3=6

i.e. there are 6 red chairs

triangle abc is an isosceles right triangle. what is the measure of a base angle

Answers

If it is right triangle which has 90 degree the other two will have 45 degrees each

Answer:  

The measure of the base angle = 45°

Step-by-step explanation:

For better explanation of the solution see the attached figure of the diagram :

Given : An isosceles right triangle ABC

To find : Measure of the base angle

Solution :

Since, The triangle is right angle triangle.

⇒ m∠B = 90°

Also, ΔABC is an isosceles triangle

So, AB = BC

Now, Angles opposite to equal sides are equal

⇒ m∠A = m∠C

Now, Using Angles sum property of a triangle

⇒ m∠A + m∠B + m∠C = 180°

⇒ m∠C + 90° + m∠C = 180°

⇒ 2m∠C = 180° - 90°

⇒ 2m∠C = 90°

⇒ m∠C = 45°

Hence, The measure of the base angle = 45°

8.
A particular sound wave can be graphed using the function y = –3 sin x. Find the period of the function.

period = 2pi
period = –3
period = 3
period = 1/2

Answers

Since the argument of the sine function is x without any scaling factor, the period is 2π, the 1st selection.
The period for a sine function is always 2pi/a where y=sin ax   
If y= 3sinx then a=1 so 2pi/1=2pi 
 2pi =period

Sally has completed 1/3 of her shift; Jerry has completed 5/6 of his shift; David has finished 1/2 of his shift; Mona has 7/8 of her shift remaining. Out of the four employees, Who has completed the most work time?

Answers

Jerry completed the most work time.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts.

Or, A number which is expressed as a quotient is called fraction.

It can be written as the form of p : q, which is equivalent to p / q.

Given that;

Sally has completed 1/3 of her shift.

Jerry has completed 5/6 of his shift.

David has finished 1/2 of his shift.

Mona has 7/8 of her shift remaining.

Now,

Since, Mona has 7/8 of her shift remaining.

Hence, The time for Mona = 1 - 7/8

                                          = 1/8

We make all the denominator equal by taking LCM of 3, 6, 2, 8.

Thus, LCM of [3, 6, 2, 8] = 24

Hence, Sally has completed 8/24 of her shift.

Jerry has completed 20/24 of his shift.

David has finished 12/24 of his shift.

Mona has completed 3/24 of his shift.

Clearly, Jerry completed the most work time.

Thus, Jerry completed the most work time.

Learn more about the fraction visit:

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Which operation is NOT closed for polynomials?
A) (x3 + 8x − 5) (x4 + 6x + 2)
B) (x2 + 4x − 5)(8x2 + 3x − 6)
C) (6x2 + 2x − 3) + (x2 − 5x + 4)
D) −(2x2 + 2x − 5) − (x2 + 2x + 9)

Answers

Answer: All of the operations that you have listed will produce a polynomial. Therefore, they are all closed for polynomials. (Did you have a typo?)

When we say an operation is closed for a particular problem, we mean that the resulting answer is of the same type as at the beginning.

In these cases, we are starting with polynomials in each problem. After performing the operations, we still have polynomials. Therefore, they are all closed.

Answer:

A

Step-by-step explanation:

You had a typo with A, and I think that is the answer as well, seeing as you typed all of your other answers correct, and none of them were labeled open by the first answerer, despite the typo.

The following polynomials can be factored using the techniques of this lesson. x^2-36

Answers

the correct answer to that question would be true

Answer:

true

Step-by-step explanation:

A P E X

Which of the following are among the five basic postulates of Euclidean geometry?

Check all that apply.
A. All equilateral triangles are also equiangular.
B. A circle can be drawn with any center and radius.
C. Through a point not on a given line, there is exactly one line parallel to the given line.
D. All right angles are equal to one another.

Answers

Answer:

Choices B, C, and D are correct.

Step-by-step explanation:

Euclid's Five postulates are as follows:

1. A straight line segment may be drawn from any given point to any other.

2. A straight line may be extended to any finite length.

3. A circle can be drawn with any center and radius.

4. All right angles are congruent/equal to each other.

5. Through a point not on a given line, there is exactly one line parallel to the given line.

Now looking at these postulates and the choices we are given we see that only choice B, C, and D match with above.

From the options given, the statements that are among the five basic postulates of Euclidean Geometry are: B, C, and D.

The five basic postulates of Euclidean geometry

The five (5) basic postulates are:

Any straight line segment is drawn from any point to another.Any straight line can be drawn and extended to any finite length.Circles are drawn given a center and radius.Right angles are always congruent.If a given point is not on a given line, there exist a line that is parallel to the given line.

Therefore, from the options given, the statements that are among the five basic postulates of Euclidean Geometry are: B, C, and D.

Learn more about Euclidean Geometry on:

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1. The table shows the height, in centimeters, that a weight bouncing from a spring would achieve if there were no friction, for a given number of seconds.

2. How many seconds are required for the pendulum to swing from its position furthest to the right to its position furthest to the left?

3. How many degrees is the painted spot turning in 0.75 s?
Enter your answer in the box.

4. What is the average daily maximum temperature in March?
Round to the nearest tenth of a degree if needed.
Use 3.14 for π .
Enter your answer in the box

5. What is the greatest temperature the substance reached during the experiment?
Round to the nearest tenth of a degree if needed.
Use 3.14 for π .
Enter your answer in the box.


Answers

Problem 1

Answer: 6

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

At time 1.5s the height is 0 which is the resting position. The next time the height is 0 is when t = 4.5 which is a difference of 3 seconds (4.5 - 1.5 = 3). Double this to get 3*2 = 6

===============================================

Problem 2

Answer: 1.25

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

Notice how the period of this graph is 2.5 seconds. It takes 2.5 seconds for the up and down pattern to repeat fully again. The easiest way to see this is from x = 0 to x = 2.5 the down and then up pattern does one full cycle, only to repeat again from x = 2.5 to x = 5, and so on. 

Half of this cycle is the length of time it takes for the particle to go from the peak to the valley, or vice versa. Half of 2.5 is 1.25 (2.5/2 = 1.25). Why is it half? Because a full cycle takes place from one valley to the next neighboring valley. The same happens with the peaks as well. 

===============================================

Problem 3

Answer: 180 degrees

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

A full cycle takes 1.5 seconds, which consists of the wheel rotating 360 degrees (a full revolution)
Half a cycle is 1.5/2 = 0.75 seconds which is half a revolution 360/2 = 180 degrees

===============================================

Problem 4

Answer: 61

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

We plug in x = 2 since x = 0 corresponds to january, x = 1 corresponds to february, and so on

f(x) = 12.2*cos(pi*x/6) + 54.9
f(2) = 12.2*cos(pi*2/6) + 54.9
f(2) = 12.2*cos(3.14*2/6) + 54.9
f(2) = 12.2*cos(3.14/3) + 54.9
f(2) = 12.2*cos(1.04666666666667) + 54.9
f(2) = 12.2*0.5004596890082 + 54.9
f(2) = 6.10560820590003 + 54.9
f(2) = 61.0056082059
f(2) = 61

===============================================

Problem 5

Answer: 38.9

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

The smallest cos(x) can be is -1. It doesn't matter if its cos(x) or cos(2x) or whatever the argument is. Therefore f(x) maxes out at f(x) = -7.5*(-1)+31.4 = 38.9

Just need an answer

Answers

I believe it is: n > -4.

Hope this helps!
The answer is n < -4 on MathHelps. Good luck.

Which two equations would be most appropriately solved by using the zero product property?

Select EACH correct answer.

Which two equations would be most appropriately solved by using the quadratic formula?

Select EACH correct answer.

Answers

for the zero product property questions it's choices 2 and 3 since they're quadratics factored and set equal to zero.

for the quadratic formula questions it would be answer choices 2 and 3 also because they're unfactored trinomial quadratic expressions

Answer:

1 - B and C

2 - B and C

Step-by-step explanation:

Ques 1: We know that,

Zero Product Property states that 'If ab=0, then either a=0 or b=0 or both are zero'.

So, from the options, we see that,

The equation [tex](x-3)(x+4)=0[/tex] can be solved using this property.

Also, the equation [tex]2x^2+6x=0[/tex] can be simplified to [tex]2x(x+3)=0[/tex].

So, this [tex]2x(x+3)=0[/tex] can also be solved by the given property.

Since, the other options cannot be factorized.

Hence, the correct options are B and C.

Ques 2: We know that,

The quadratic formula is used to solve find the solution of the quadratic equation of the form [tex]ax^2+bx+c=0[/tex].

So, from the options, we see that,

The equations [tex](x-3)^2=36[/tex] and [tex](x+8)(x+9)=0[/tex] can be solved directly by using the 'Zero Product Property'.

The other equations cannot be solved directly and would be solved using the quadratic formula.

Hence, the correct options are B and C.

NEED HELP ASAP!!!

What is the value of x?

/Users/mikaylee/Desktop/8104613-NG_IMC_SemB_09_UT_01.png

Answers

◆ Lines n Angles ◆

Hey !!

Check the attachment.
Hope it helps you :)

PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER

Answers

Hey There!

Simplify the expression. See photo. Answer is B.

Cheers,
Izzy
The Anser is d: 12/cd^-6

Solve 5x + 1 = 2x2 + 9x. Which are steps in the process of completing the square used to solve the equation?

ANSWER CHOICES

1 = 2(x2 + 2x)
1 = 2x2 + 4x
2 = 2(x2 + 2x + 1)
3 = 2(x + 1)2
2 = 2(x + 1)2

Answers

Answer:

Choices (1), (2) and (4)

Step-by-step explanation:

5x + 1 = 2x² + 9x

By subtracting 5x form both the sides of the equation.

(5x + 1) - 5x = 2x² + 9x - 5x

1 = 2x² + 4x

1 = 2(x² + 2x)

By adding 2 on both the sides

1 + 2 = 2(x² + 2x) + 2

1 + 2 = 2(x² + 2x + 1)

3 = 2(x² + 2x + 1)

3 = 2(x + 1)²

Therefore, choices (1), (2) and (4) are the steps that have been used to complete the square.

Final answer:

To solve the equation 5x + 1 = 2x^2 + 9x using the method of completing the square, follow these steps: move all terms to one side of the equation, combine like terms, divide all terms by the coefficient of x^2, take half of the coefficient of x, square it, and add it to both sides of the equation, factor the left side of the equation, take the square root of both sides, and solve for x.

Explanation:

To solve the equation 5x + 1 = 2x2 + 9x using the method of completing the square, the following steps are used:

Move all terms to one side of the equation: 2x2 + 9x - 5x - 1 = 0Combine like terms: 2x2 + 4x - 1 = 0Divide all terms by the coefficient of x2: x2 + 2x - 1/2 = 0Take half of the coefficient of x, square it, and add it to both sides of the equation: x2 + 2x + 1 = 1/4Factor the left side of the equation: (x + 1)2 = 1/4Take the square root of both sides: x + 1 = ±1/2Solve for x: x = -1 ± 1/2

How do you determine if two lines are perpendicular?

Answers

Two lines are perpendicular if they intersect with one another to form a right angle. :) 

your primary jobs gross income is 3468.73/month deductions are fica (7.65%) federal tax witholding (11.5%) and state tax withholding (7.8%) how much are your ficed expenses if they are 36% of your relized income

Answers

sierah907 Your primary job’s gross income is $3,468.73/month. Deductions are FICA (7.65%), federal tax withholding (11.5%), and state tax withholding (7.8%). How much are your fixed expenses if they are 36% of your realized income?


$1,388.65


$814.92


$912.21


$1,068.57





To get your realized income you: add your deductions which equals to a total of 26.95%. 

Then you subtract that amount  from your gross income. 
(3468.72 - 26.95% = 2533.91) 

 After that you need to find what 36% of your realized income equals to: 

and it equals to, 912.20. 

Therefore, your answer is C.




Answer 2: 

our deductions are 7.65% , 11.5% and 7.8% . Total 26.95% .

So deduct that from your Gross . $3468.73 - 26.95% leaves you with $ 2533.91.
That's your Realized Income . $2533.91 .

So you need to find 36% of that . It's $912.20.

And that is your answer . Your fixed expenses are $ 912.20 .

Answer:

$912.21

Step-by-step explanation:

Your primary jobs gross income = $3468.73

All deductions 7.65% (fica) + 11.5% (federal) + 7.8% (state tax) = 26.95%

Income after deductions = 3468.73 - ( 26.95% × 3468.73 )

                                         = 3468.73 - (0.2695 × 3468.73)

                                         = 3468.73 - 934.82

                                         = $2,533.91

Fixed expenses on your realized income = 36%

Fixed expenses = 36% × 2,533.91

                          = 0.36 × 2,533.91

                          = $912.2076 ≈ $912.21

Fixed expenses are $912.21

Other Questions
Can you please help me? Someone please help What is the solution to the system of equations?3x - 4y= 162x + 3y=5 A. (-4,1)B. (4,-1)C.(-4,-1)D.(4,1) What is the value of x^2 + 4 for x = 5? Must a decimal divisor and a decimal dividend have the same number of decimal places in order to have a whole number quotient? write a division equation using two decimal numbers to support your answer. please help me :)A Ferris wheel at a carnival has a diameter of 62 feet. Suppose it turns at a rate of 70 revolutions per hour.(a) Find the angular speed of the wheel in radians per hour.(b) Find the linear speed of a passenger in feet per minute.Do not round any intermediate computations, and round your answer to the nearest whole number., The following is an excerpt from the case study "It's All Greek to Me": "I am sorry to give you bad news. Nikoleta does have anemia but, unfortunately, giving her a high iron formula was exactly the opposite of what should be done. Nikoleta's disorder has a genetic basis."Iron is an important structural component of hemoglobin. Explain why this treatment failed and how the true cause of Nikoleta's anemia was discovered. Read the paragraph. (1) In the 1940s, heroes such as Superman and G.I. Joe had perfect morals and character. (2) They stood for ideals that we hoped we could achieve. (3) In modern society, however, heroes tend to be troubled outcasts or accidentally heroic. (4) Heroes today, unlike those of the past, must have a flawed character in order to become popular. What is the topic sentence of the paragraph? sentence 1 sentence 2 sentence 3 sentence 4 Milena's take-home pay is $1200 a month. She spends 12% of her take-home pay on her cable bill. How much is Milena's monthly cable bill? kellogg's begins to sell its cereals in new markets after conducting extensive marketing research. after the cereal begins to appear in these new markets, the company increases its promotion expenditure to counteract competitive responses. kellogg's is in the ________ stage of the product life cycle. The pressure P (in pounds per square foot), in a pipe varies over time. Ten times an hour, the pressure oscillates from a low of 40 to a high of 280 and then back to a low of 40. The pressure at time t = 0 is 40. Let the function P = f(t) denote the pressure in pipe at time t minutes. Find the formula for the function P=f(t), Which relationship between x and y in the equation shows a proportional relationship y=12x y=12/x y=2x+6 y=x/2+3 In an attack known as ____, valid protocol packets exploit poorly configured dns servers to inject false information to corrupt the servers' answers to routine dns queries from other systems on that network. His train has been running for 2 1/2 Days straight at a constant speed of 4.8 mph. How far has he traveled? A qu hora te despertaste esta maana? a. Usualmente, te despiertas al mismo tiempo cada da. c. Me despert a las siete. b. Esta maana comimos pan dulce. d. Me despert a las siete. Simplify the rational expression. state any restrictions on the variable. n^4-11n^2+30/n^4-7n^2+10 13. Why do cells need both tRNA and mRNA? (1 point)Only mRNA can be used to repair mistakes in the DNA sequence.Only tRNA bends into a shape that can carry specific amino acids.The tRNA in used on the ribosomes and the mRNA is used in the nucleus.The mRNA brings information to the nucleus for the tRNA to use.14. (03.06 LC)Mutation does not always affect the evolution of a species because (1 point)not all mutations are inheritednot all mutations are beneficialnot all mutations cause visible changenot all mutations affect an entire species15. (03.06 MC)A chromosome that is exposed to a mutagen breaks into two pieces. A portion off one of the ends is removed before the two pieces rejoin. The mutation that occurs is (1 point)deletionduplicationinversionnon-disjunction16. (03.06 MC)Which of the following mutations is least likely to develop into a cancerous tumor? (1 point)A non-disjunction mutationA chromosomal deletion mutationA inversion chromosomal mutationA single point mutation17. (03.06 MC)The mutagens that result in cancer damage DNA by (1 point)destroying the cell's p53 gene directly thereby increasing cell productionweakening the DNA strand or interfering with base paringaltering the cell's pH and allowing increased cell productionbecoming a virus that attacks DNA directly, impairing duplication In which relationship stage are the individuals in the following scenario?Heather and Mona became good friends about ten years ago. For the last year, though, things haven't been the same. They no longer make the effort to meet up for lunch or go shopping together. They try to remember to call on birthdays and holidays, but sometimes they forget.terminatingdifferentiatingstagnatingcircumscribingavoiding Sal bought 35 feet of window trim at a hardware store. The trim cost $1.75 per foot, including sales tax. If Sal paid with a $100.00 bill, how much change should he have received? In the summer of 1943, what wartime issue led to racial violence in cities across America?