Rewrite the equation by completing the square.
4x^2 + 28x + 49=0

Answers

Answer 1

Answer:

[tex]4(x+3.5)^{2}=0[/tex]

Step-by-step explanation:

we have

[tex]4x^{2}+28x+49=0[/tex]

step 1

Group terms that contain the same variable, and move the constant to the opposite side of the equation

[tex](4x^{2}+28x)=-49[/tex]

step 2

Factor the leading coefficient

[tex]4(x^{2}+7x)=-49[/tex]

step 3

Complete the square. Remember to balance the equation by adding the same constants to each side

[tex]4(x^{2}+7x+3.5^2)=-49+(3.5^2)(4)[/tex]

[tex]4(x^{2}+7x+12.25)=0[/tex]

step 4

Rewrite as perfect squares

[tex]4(x+3.5)^{2}=0[/tex]

Answer 2

The equation by completing the square is [tex]\[ (x + \frac{7}{2})^2 = 0 \].[/tex]

To complete the square for the quadratic equation [tex]\(4x^2 + 28x + 49 = 0\)[/tex], we need to follow these steps:

Divide the entire equation by the coefficient of [tex]\(x^2\)[/tex] to make it equal to 1. This gives us:

[tex]\[ x^2 + 7x + \frac{49}{4} = 0 \][/tex]

Next, we need to find the value to complete the square. This is done by taking half of the coefficient of [tex]\(x\)[/tex], which is [tex]\(\frac{7}{2}\)[/tex], and squaring it:

[tex]\[ \left(\frac{7}{2}\right)^2 = \frac{49}{4} \][/tex]

We add and subtract this value to the equation to complete the square:

[tex]\[ x^2 + 7x + \frac{49}{4} - \frac{49}{4} + \frac{49}{4} = 0 \][/tex]

Now, we can rewrite the equation as a perfect square trinomial and a constant:

[tex]\[ (x + \frac{7}{2})^2 - \frac{49}{4} + \frac{49}{4} = 0 \][/tex]

Simplify the equation by combining the constants:

[tex]\[ (x + \frac{7}{2})^2 = 0 \][/tex]


Related Questions

6h^5+0h^4-12h^3+0h^3+0h=0

Answers

The value of h = 0,  ± [tex]\sqrt{2}[/tex]

Step-by-step explanation:

We have,

[tex]6h^5+0h^4-12h^3+0h^3+0h=0[/tex]

To find, the value of h = ?

∴ [tex]6h^5+0h^4-12h^3+0h^3+0h=0[/tex]

⇒ [tex]6h^5[/tex] + (0)[tex]h^4[/tex] - 12[tex]h^3[/tex] + (0)[tex]h^3[/tex] + (0)h = 0

⇒ [tex]6h^5[/tex] + 0 - 12[tex]h^3[/tex] + 0 + 0 = 0

⇒ [tex]6h^5[/tex]  - 12[tex]h^3[/tex] = 0

Taking 6 [tex]h^3[/tex] as common, we get

[tex]6h^3(h^2-2)[/tex] = 0

⇒6[tex]h^3[/tex] = 0 or,   [tex]h^2[/tex] - 2 = 0

⇒ 6[tex]h^3[/tex] = 0 ⇒ h = 0

⇒ [tex]h^2[/tex] = 2  

⇒ h = ± [tex]\sqrt{2}[/tex]

Hence, the value of h = 0,  ± [tex]\sqrt{2}[/tex]

What is the slope of the line y=3

Answers

Answer:

slope = 0

Step-by-step explanation:

recall that the equation of a line can be expressed as:

y = mx + b, where m is the slope and b is the y-intercept.

in our case we are given y = 3

which can be re-written:

y = (0)x + 3

if we compare this with the general equation above, we can see that

slope = m = 0

Answer: the slope is zero

Step-by-step explanation:

The equation of line in slope - intercept form is given as : y = mx + c , where m is the slope and c is the y - intercept. This means that the line y = 3 is a horizontal line that passes through the point y = 3 , therefore , the slope is zero

Solve the equation using the order of operations.

5+{2×[(5−1)+6]}÷4

Answers

Answer:

The order of operations is PEMDAS

First step is to do everything is parenthesis or brackets

5+{2*[(5-1)+6]}/4

{2*[(5-1)+6]}

First you would go 5-1=4, because that is the first equation that is in parenthesis by itself.

{2*[4+6]}

Next you would go 4+6=10, because that is your next smallest bracket

{2*10}

Last you would go 2*10=20

Your equation now looks like this

5+{20}/4

In PEMDAS your next step is exponents, but we don't have any so we go on to the next one which is multiply/division

5+5

You would go 20/4=5

Last step is to add/subtract

5+5=10

Your final answer would be 10

Hope this helps ;)

Step-by-step explanation:

What is the theoretical probability of a coin​

Answers

Answer:hfgjvggunycdvjk8nyunyunyunyunyunyunyunyunyunyunyunyunyunyunyunyunyunyunyunyum

Step-by-step explanation:

Answer: probility that it lands on

Head up is 1/8 or 12.5%

Step-by-step explanation:

Which equation shows the quadratic formula used correctly to solve 5x2 + 3x - 4 = 0 for x?
- 3+ √(3) ² - 4 (6) (-4)
2(5)
3+ (3) +45)(-4)
X
3+ (3)2-4(5)(-4)
OX=
- 3+ √(3)² + 4 (5)(-4)
205)

Answers

The quadratic formula used to solve the equation [tex]5x^{2} +3x-4=0[/tex] is [tex]x=\frac{-3 \pm \sqrt{(3)^{2}-4(5)(-4)}}{2(5)}[/tex]

Explanation:

The equation is [tex]5x^{2} +3x-4=0[/tex]

The equation is of the form [tex]ax^{2} +bx+c=0[/tex]

Thus, [tex]a=5, b=3,c=-4[/tex]

To find the quadratic formula, the general formula to find the quadratic roots is [tex]x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}[/tex]

Hence, substituting the values of a,b,c in the formula, we get,

[tex]x=\frac{-3 \pm \sqrt{(3)^{2}-4(5)(-4)}}{2(5)}[/tex]

Thus, Option A is the correct answer.

The quadratic formula used to solve the equation [tex]5x^{2} +3x-4=0[/tex] is [tex]x=\frac{-3 \pm \sqrt{(3)^{2}-4(5)(-4)}}{2(5)}[/tex]

PLZ HELP What is the value of x in the equation -6x = 5x + 22 -22,-2,2,22

Answers

Answer:

-2

Step-by-step explanation:

-6x=5x+22

-6x-5x=22

-11x=22

x=22/-11

x=-2

What is the first step in determining if 6 is a solution to 3x-18?

Answers

Answer:

Substitute x = 6 into the equation 3x-18

Answer:

A.) Subsitute 6 for x in the equation.

Step-by-step explanation:

I’m smart :).

A climbing wall leaning against the top of a play structure forms a right triangle with the ground. The distance from the bottom of the climbing wall to the base of the play structure is 7 feet. If the climbing wall is 11 feet long, how high is the wall of the play structure?

Answers

The height of wall of play structure is 8.48 feet

Solution:

A climbing wall leaning against the top of a play structure forms a right triangle with the ground

The figure is attached below

ABC is a right angled triangle

AB is the height of wall of play structure

Let "x" be the height of wall of play structure

AB = x

BC is distance from the bottom of the climbing wall to the base of the play structure

BC = 7 feet

AC is the length of climbing wall

AC = 11 feet

We can apply pythogoras theorem for right angled triangle

Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

Therefore, by above definition for right angled triangle ABC,

[tex]AC^2 = AB^2+BC^2[/tex]

Substituting the values we get,

[tex]11^2 = x^2 + 7^2\\\\121 = x^2 + 49\\\\x^2 = 121-49\\\\x^2 = 72\\\\\text{Take square root on both sides }\\\\x = \sqrt{72}\\\\x = 8.48[/tex]

Thus the height of wall of play structure is 8.48 feet

Answer:

8ft

Step-by-step explanation:

i did the test on T4L

What is the domain and range of y=-1/4(x)

Answers

Domain: [tex](-\infty, \infty)[/tex]

Range: [tex](-\infty, \infty)[/tex]

Explanation:

The function is [tex]y=-\frac{1}{4} x[/tex]

The domain of a function is the set of all input values for which the function is well defined. Generally, domain consists of all x-values of the function. Hence, the function [tex]y=-\frac{1}{4} x[/tex] is defined in the interval [tex](-\infty, \infty)[/tex].

The range of a function is the set of output values obtained by substituting the value of x in the function. Hence, the function [tex]y=-\frac{1}{4} x[/tex] is defined in the interval [tex](-\infty, \infty)[/tex].

F(x)=2x+6
G(x)=-5x-9
Find the product of f and g.
A.-10x^2-54
B.-10x^2-48x-54
C.-10x^2-12x-54
D.-10x^2+48x-54

Answers

Final answer:

The product of f(x) = 2x + 6 and g(x) = -5x - 9 is found by multiplying out the terms, resulting in -10x^2 - 48x - 54, which corresponds to option B.

Explanation:

The student is asking to find the product of two functions f(x) = 2x + 6 and g(x) = -5x - 9. To find the product, we multiply the two functions together:

f(x) * g(x) = (2x + 6) * (-5x - 9)

Distribute each term in the first function by each term in the second function:

2x*(-5x) + 2x*(-9) + 6*(-5x) + 6*(-9)

= -10x^2 - 18x - 30x - 54

Combine like terms:

= -10x^2 - 48x - 54

Therefore, the correct answer is B. -10x^2 - 48x - 54.

Divide 67.9 by one hundred​

Answers

Answer: .679

Step-by-step explanation:

move the decimal to the left two places.

67.9 divided by 100 is .679

The way i see it is move the decimals two place frontwards.

If $650 is invested for one year at 11% simple interest, how much interest is earned

Answers

Answer:

71.5

Step-by-step explanation:

650 / 100 = 6.5

6.5 x 11 = 71.5

A 4-pack of batteries costs $5.16. At this price, what is the cost of one battery?

Answers

Answer:

$1.29

Step-by-step explanation:

5.16 divided by 4

Best answer gets brainliest!

Answers

Answer:

I'm Going With A.) Hope It Helps

Solve the proportion 2x/3=20/5

Answers

Answer:

Hi

Step-by-step explanation:

Sunndmdmd

The Atlanta Traffic Commission needs to know how much space the Ferris Wheel takes up.

A)What is the AREA formula for a circle?

B)Show your work to find the AREA of the Ferris Wheel. Don't forget to add your square units!

Answers

Answer:

a) A=π(r×r)

Where π=constant pie of 3.143

           r= half of diameter

b) 31420 square units

Step-by-step explanation:

The Atlanta Traffic Commission needs to know how much space the Ferris Wheel takes up.  

A)What is the AREA formula for a circle?

A=π(r×r)

Where π=constant pie of 3.143

           r= half of diameter

B)Show your work to find the AREA of the Ferris Wheel. Don't forget to add your square units

A=π(r×r)

   =3.142×100×100

   =31420 square units

Final answer:

The formula for the area of a circle is A=πr². To find the area of a circular object, like a Ferris Wheel, you need to know the radius. If the radius is 10 units, then A=π(10)² = 314 square units.

Explanation:

The subject of this question is Mathematics and it's a Middle School level question. It's about calculating the area of a circle, which in this case is the Ferris Wheel.

A) The formula for the area of a circle is Pi times the radius squared (A=πr²). Pi (π) is approximately 3.14 and the radius (r) is the distance from the center of the circle to the outside of the circle.

B) To find the area of the Ferris Wheel, you'll need to know the radius. Let's assume the radius of our Ferris Wheel is 10 units. Plugging these values into the formula we have: A=π(10)² = π * 100 = 314 square units. The unit of measurement for the area depends on the unit used for the radius. If the radius was in meters, then the area is in square meters, if the radius was in feet, then the area is in square feet, and so on. If no units is given, we just call it 'square units'.

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the member increased their elevation 290 feet during their hike this morning. now they are at an elevation of 450 feet

Answers

Answer:

160 good luck tho on whatever

Step-by-step explanation:

450-290

The question is about determining the initial elevation of a hiker's journey given the increase in elevation and the current elevation. The hiker started at an elevation of 160 feet before the hike.

The student is asking a question related to change in elevation during a hike. If a hiker increased their elevation by 290 feet and is currently at 450 feet, they must have started at an elevation of 160 feet that morning. This is calculated by subtracting the increase from the current elevation: 450 feet - 290 feet = 160 feet.

Suppose the average yearly salary of an individual whose final degree is a masters is $46 thousand less than twice that of an individual whose final degree is a bachelors. Combined, two people with each of these educational attainments earn $122 thousand. Find the average yearly salary of an individual with each of these final degrees.

Answers

Answer:

average yearly salary of an individual whose final degree is a masters: $ 66 thousand

average yearly salary of an individual whose final degree is a bachelors: $ 56 thousand

Explanation:

You can set a system of equation using the following steps:

1. Name the variables:

average yearly salary of an individual whose final degree is a masters: x

average yearly salary of an individual whose final degree is a bachelors: y

2. Set the equations that relate the variables:

the average yearly salary of an individual whose final degree is a masters is $46 thousand less than twice that of an individual whose final degree is a bachelors:

        equation (1): x = 2y - 46

combined, two people with each of these educational attainments earn $122 thousand:

         equation (2): x + y = 122

3. Solve the system:

x = 2y - 46 . . . equation (1)x + y = 122 . . . equation (2)

Substitute equation (1) into equation (2)

2y - 46 + y = 122

Solve for y:

3y = 122 + 463y = 168y = 168 / 3y = 56 (this means that the average yearly salary with a bachelors degree is $ 56 thousand).

Subsitute the value on y in equation 1, to find the value of x:

x = 2y - 46 = 2(56) - 46 = 112 - 46 = 66.

Thus, the average yearly salary of a person with a masters degree is $ 66 thousand.

Final answer:

Using a system of equations with the variables B (the average salary for a bachelor's degree) and M (the average salary for a master's degree), we solved to find that the average yearly salary for an individual with a bachelor's degree is $56,000 and with a master's degree is $66,000.

Explanation:

The problem at hand involves creating two algebraic equations to solve for the average yearly salaries of individuals with a bachelor's degree and a master's degree based on the provided information. Let the average yearly salary for an individual with a bachelor's degree be represented by B, and the salary for an individual with a master's degree be represented by M.

According to the problem, the average yearly salary of an individual with a master's degree is $46 thousand less than twice the salary of an individual with a bachelor's degree, so we can write the first equation as: M = 2B - 46.

The second equation comes from the fact that combined, their earnings amount to $122 thousand, so: B + M = 122.

Now, we can substitute the first equation into the second to solve for B: B + (2B - 46) = 122. Simplifying, we get 3B - 46 = 122. Adding 46 to both sides gives 3B = 168, and dividing by 3 yields B = 56. So, the average salary for someone with a bachelor's degree is $56,000.

To find the salary for a master's degree holder, we substitute B = 56 into the first equation: M = 2(56) - 46. That simplifies to M = 112 - 46, giving us M = 66. Hence, the average salary for someone with a master's degree is $66,000.

How do you put the equation 2x+y=2 into slope intercept form

Answers

Answer:

Step-by-step explanation:

you put the equation in slope and intercept form by making y the subject of the formula

i.e

y = -2x + 2

-2 is the slope and 2 is the intercept

Answer:

Step-by-step explanation:

2x + y = 2

Making y as subject

y = - 2x + 2

And the equation is y = mx + c

Where m is slope = -2

Y intercept = 2

Point slope form. (-5,-1) and (6,-5)

Answers

Step-by-step explanation:

The point-slope form of an equation of a line:

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

m - slope

(x₁, y₁) - point on a line

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have two points (-5, -1) and (6, -5). Substitute:

[tex]m=\dfrac{-5-(-1)}{6-(-5)}=\dfrac{-5+1}{6+5}=-\dfrac{4}{11}[/tex]

Put the value of a slope and coordinates of a point to the equation of a line:

[tex](-5,\ -1),\ m=-\dfrac{4}{11}\\\\y-(-1)=-\dfrac{4}{11}(x-(-5))\\\\y+1=-\dfrac{4}{11}(x+5)[/tex]

[tex](6,\ -5),\ m=-\dfrac{4}{11}\\\\y-(-5)=-\dfrac{4}{11}(x-6)\\\\y+5=-\dfrac{4}{11}(x-6)[/tex]

Molly made $192 one week from babysitting. She made $176 babysitting the next week. She is paid $8 an hour.
How many hours did Molly babysit in the two weeks?

Answers

Answer:

46 hours

Step-by-step explanation:

We are given the information;

Molly earned $192 in one weekAlso earned $176 in the next weekRate per hour is $8 per hour

Required to determine the number of hours;

We need to know that;

Number of hours = Amount earned ÷ rate per hour

Therefore;

First week;

Number of hours = $192 ÷ $8 per hour

                             = 24 hours

Next week

Number of hours = $176 ÷ $8 per hour

                             = 22 hours

Thus, number of hours she worked = 22 + 24

                                                           = 46 hours

Therefore, in the two weeks Molly baby-sited for 46 hours

Compare in hours: 27 hours to 3 days. Write the ratio as a fraction in lowest terms

Answers

Answer:

27:72

Step-by-step explanation:

First I would convert three days to hours. 24×3=72

Answer: 27:72

The ratio of the two times will be 3 / 8.

What is a ratio?

A ratio in mathematics shows how many times one number is contained in another. For instance, if a dish of fruit contains eight oranges and six lemons.

The ratio of oranges to lemons is eight to six. The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.

Given that compare in hours: 27 hours to 3 days. The ratio will be calculated as:-

In 3 days there are 72 hours.

Ratio = 27 / 72 = 3 / 8

Therefore, the ratio of the two times will be 3 / 8.

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7. Find the value of a. The diagram is not to scale.
(1 point)
a.) 36°
b.) 144
c.) 54
d.) 126°

Answers

Answer:

The correct answer is B. 144°

Step-by-step explanation:

Let's recall that in a trapezium the bases are parallel and one of its properties is that  the two angles on the same side are supplementary, that is the sum of the angles of two adjacent sides is equal to 180°.

Upon saying that, we can find out the value of a and b, this way:

∠a = 180 - 36

∠a = 144

∠b = 180 - 113

∠b = 67

But the question is regarding ∠a. Then the correct answer is B. 144°

What is the sum of 12 over 3 plus 2 over 3 ?

Answers

Answer:

The Answer is 4 [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Since both fractions have like denominators  , you can just add them:

12/3 + 2/3 = 14/3

Since 14/3 is improper fraction, it should be turning to a mixed number:

14 can go into 3, 4 times since 4 times 3 is 12. 14 - 12 is 2, so it will be your numerator.

4 2/3

In the proportion 12/36=2/6 the terms that are called the means are..?

Answers

The terms that are called means are 2 and 36

Solution:

A proportion is simply a statement that two ratios are equal

Proportion is written as:

[tex]\frac{a}{b} = \frac{c}{d}[/tex]

In ratios, we can write as,

a : b = c : d

To find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

[tex]\frac{a}{b} = \frac{c}{d}\\\\a \times d = b \times c[/tex]

Here, a and d are extremes

b and c are means

In the given proportion,

[tex]\frac{12}{36} = \frac{2}{6}[/tex]

[tex]12 \times 6 = 2 \times 36[/tex]

Here, 12 and 6 are extremes

2 and 36 are means

Final answer:

In the given proportion 12/36=2/6, the mean terms are 12 and 6. To verify the proportion, one can use the cross-products method, which confirms its correctness since the multiplication of means and extremes produces equal results.

Explanation:

In the proportion 12/36=2/6, the terms that are known as the means are the two numbers that are on the inside of the proportion, which are 12 and 6 in this case. Proportions are made up of four terms, with the first and last terms called the extremes, and the two terms in the middle called the means. To solve a proportion and check if it is true, you can use the cross-products method, which involves multiplying the means and the extremes. If the cross-products are equal, then the proportion is true. In this example, 12 (the mean) multiplied by 2 (an extreme) is equal to 24, and 36 (the other extreme) multiplied by 6 (the mean) also gives 24, confirming that this proportion is correct.

Can an expert help me with this please.Ill give points.I need explanation also​

Answers

Answer:

What is it you would like help with, because the file does not work for me.

Step-by-step explanation:

Simplify this expression.

1 + 4.25n + 32p – 3 + (–2p) + 54n
A. 5.5n – 12p – 2
B. 9.5n + 1.5p – 2
C. 94n − 1.5p − 4
D. 3.75n – p + 1

Answers

Final answer:

After combining like terms, the expression simplifies to 58.25n + 30p - 2, which does not match any of the provided answer choices, indicating an error in the options given.

Explanation:

To simplify the expression 1 + 4.25n + 32p

dash; 3 + (

minus;
2p) + 54n
, we combine like terms. Let's first combine the constant terms (1 and -3), the 'n' terms (4.25n and 54n), and the 'p' terms (32p and -2p).


First, we handle the constants: 1 - 3 = -2


Now, combine the 'n' terms: 4.25n + 54n = 58.25n


Then, combine the 'p' terms: 32p - 2p = 30p


The simplified expression is 58.25n + 30p - 2, which matches none of the given options (A, B, C, D). There appears to be an error since the proper simplification does not align with the options provided.

In the given case, the correct answer is B. 9.5n + 1.5p - 2 which is the simplified expression.

The correct distribution should be:

[tex]\(1.5 \times 39n = 58.5n\) (which is correct)[/tex]

[tex]\(1.5 \times 20p = 30p\) (which is correct)[/tex]

 So the correct simplified expression is:

58.5n + 30p - 2

 Now, let's convert the decimals to fractions to match the format of the options provided:

[tex]\(58.5n = 58\frac{1}{2}n = 58n + \frac{1}{2}n = 58n + 0.5n\)[/tex]

30p = 30p

 So the expression becomes:

58n + 0.5n + 30p - 2

Therefore, the final simplified expression is:

9.5n + 30p - 2

However, we must correct the coefficient of p to match the format of the options. Since 30p  is actually [tex]\(1.5 \times 20p\)[/tex] , we should have:

1.5p = 30p

 Thus, the correct final simplified expression is:

9.5n + 1.5p - 2

Kyle swan 450 yards in 5 minutes. What is the average number of yards he swam per minute?

Answers

Answer:

90

Step-by-step explanation:

450/5

Answer:

90

Step-by-step explanation:

450 / 5 = 90

A taxi service charges an initial fee plus $1.80 per mile how far can you travel for $12? Does any one know what is it

Answers

Answer:

You cant solve for how far you can go, but you can make an equation.

Step-by-step explanation:

A= The initial fee

$1.80=per mile

$12=The max amount of money

A+1.80x=$12

And you would subtract A from the $12 first!

Good Luck!

A4 paper has a width is 21cm and a length of 30cm.
A5 paper has a length of 21cm.
What is the width of A5 paper??

Answers

Answer:

Ur answer

Step-by-step explanation:

If A4 paper has width 21cm and length of 30cm

Then,

A5 paper has a length of 21cm

So find the width,

A4 has width 30cm

so,

A5 must have half the answer

15cm

The width of A5 paper is 21cm, which is derived from the length of A4 paper, based on the standard ratio of the A series paper sizes.

The width of A5 paper can be determined using the properties of the standardized A series paper sizes. As A4 paper has dimensions of 21cm by 30cm and the A series has a height to width ratio of the square root of 2, when an A4 sheet is cut in half, it results in two A5 sheets.

Thus the length of A4 becomes the width of A5. To find the width of A5, we simply take the length of A4, which is 21cm in this case.

Therefore, the width of an A5 sheet is also 21cm, making the dimensions of A5 paper 21cm by 14.85cm (since half of 30cm is 14.85cm).

Other Questions
Microbes have played a significant role in the advances of the last century, such as ____________ for cutting DNA and ____________ to better understand the microbes that live on and in our bodies. 10 centimeter represents 1 meter. If a class room is 5 centimeters by 7 centimeters. What are the actual dimensions of the classroom? Jake serves on a committee of employees who were charged with selecting three co-workers to honor at the holiday banquet. One employee whose name was at the top of everybody's list was instrumental in helping another employee who failed to wear his protective headgear to avoid suffering a serious head injury. Although this was a noble act, Jake knew that the hero was frequently negligent about wearing his own headgear. Jake knew that several other employees followed strict company policy every day and always wore their headgear; yet, they were not being acknowledged for their compliance. According to Norman Vincent Peale, which of the following questions should Jake refer to as he proceeds to make an ethical decision?a) Is the action I am proposing to take something the boss would like to promote among workers?b) How does the action I am proposing to take make me feel about myself?c) Does the action I am about to take follow universal business practices?d) How can my decision help elevate my own status within the firm? in 1954, after the french were defeated at Dien Bien Phu, plzzzz HELPPPP!!!!!!! What is the equations to prove the answer is A? What is a central location that houses Joint Information System (JIS) operations and where public information staff perform public affairs functions. A. Incident Command Post B. MAC Group C. Joint Information Center (JIC) D. Emergency Operations Center Slaves were originally brought to British North America for the purpose of A) tobacco cultivation. B) fighting the French. C) working in factories. D) gold and silver mining. Which of the following would require the largest volume of 0.100 M sodium hydroxide solution for neutralization?:(A) 20.0 mL of 0.0500 M nitric acid(B) 15.0 mL of 0.0500 M hydrobromic acid(C) 5.0 mL of 0.0100 M sulfuric acid(D) 10.0 mL of 0.00500 M phosphoric acid In which of the following pure substances would hydrogen bonding be expected? a. cyclobutane b. propanoic acid c. acetone d. All of the Above What evidence would you look for that would tell you that stationary object is involved in a contact interaction Ritualistic procedures intended to humiliate norm violators and mark them as being moral outcasts of the group to which they once belonged are called ________. discuss the differences between the three major sociological theoretical approaches: structural functional, social-conflict and symbolic interaction theories. The variable x represents the number of long sleeve shirts Nancy bought and the variable y represents the number of short sleeve shirts she bought.Nancy bought 531 shirts for her business. She bought 2 times as many short sleeve shirts as long sleeve shirts.How many of each type of shirt did she buy? Escoge la frase que usa correctamente los verbos en pretrito Perfecto e imperfecto.A) Carlos vio un mono aullador. Era grande pero tranquilo y le gust ver a la gente.B) Sofa vio en el bosque una guacamaya que volaba muy cerca de ella. Era roja, azul, verde, anaranjada y muy grande.C) Sofia vea una araa que se pareca a una tarantula y se asust. Hormones are chemical messengers that are transported by the bloodstream and stimulate physiological responses in cells of another tissue or organ.A. TrueB. False Which diagram represents the type of asexual reproduction known as regeneration? Jenny has received a diagnosis of major depressive disorder. What might give you a more complete picture of this client's condition by presenting information about factors that may be influencing her situation? You are an American patriot in 1776. Write a political pamphlet in support of the Revolution Roe v. Wade (1973) ruled unconstitutional a state law that banned abortions except to save the life of the mother. The Court ruled that the states were forbidden from outlawing or regulating any aspect of abortion performed during the first trimester of pregnancy, could only enact abortion regulations reasonably related to maternal health in the second and third trimesters, and could enact abortion laws protecting the life of the fetus only in the third trimester. Even then, an exception had to be made to protect the life of the mother. Controversial from the moment it was released, Roe v. Wade politically divided the nation more than any other recent case and continues to inspire heated debates, politics, and even violence today ("the culture wars"). Though by no means the Supreme Court's most important decision, Roe v. Wade remains its most recognized.At the time Roe was decided, most states severely restricted or banned the practice of abortion. However, these restrictions were challenged amid the sexual revolution and feminist movements of the 1960s. In 1970, two recent graduates of the University of Texas Law School, Linda Coffee and Sarah Weddington, brought a lawsuit on behalf of a pregnant woman, Dallas area resident Norma L. McCorvey ("Jane Roe"), claiming a Texas law criminalizing most abortions violated Roe's constitutional rights. The Texas law banned all abortions except those necessary to save the life of the mother. Roe claimed that while her life was not endangered, she could not afford to travel out of state and had a right to terminate her pregnancy in a safe medical environment. The lawsuit was filed against Henry Wade, Dallas Country District Attorney, in a Texas federal court. The Texas court ruled that the law violated the Constitution. Wade appealed to the U.S. Supreme Court, which reviewed the case throughout 1971 and 1972. Steam Workshop Downloader