please explain hw you got the answer

Please Explain Hw You Got The Answer

Answers

Answer 1

For the given statements f(-x) = -4|x| - 5x^3 = -f(x), we can conclude that f(x) is an even function.

What is even and odd function?

A function that fulfils f(-x) = f(x) for any x inside the function's domain is said to be even. The graph of an even function displays reflected y-axis symmetry geometrically. The even functions [tex]f(x) = x^2 and f(x)[/tex] = cos are two examples (x).

A function is considered odd if it meets the condition f(-x) = -f(x) for all x inside its domain. An odd function's graph displays origin rotational symmetry geometrically. Odd functions include such like [tex]f(x) = x^3 and f(x) = sin (x).[/tex]

The given function is [tex]f(x) = -4|x| + 5x^3.[/tex]

An even function is a function that satisfies f(-x) = f(x).

For the function:

[tex]f(-x) = -4|-x| + 5(-x)^3[/tex]

[tex]f(-x) = -4|x| - 5x^3[/tex]

[tex]f(x) = -4|x| + 5x^3[/tex]

Since[tex]f(-x) = -4|x| - 5x^3 = -f(x)[/tex], we can conclude that f(x) is an even function.

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Related Questions

Triangle JKL, with vertices J(-7,-9), K(-4,-8), and L(-5,-6), is drawn inside a rectangle, as shown below.

Answers

Triangle JKL's area is 3 square units as a result.

How is area of triangle determined in coordinate geometry determined?

The vertices' coordinates and the following formula must be used to determine the area of triangle JKL:

Area equals 1/2*base*height

We must first determine the triangle's height and base length. The distance between points J and K, which is the base, is:

base = √[(x2 - x1)² + (y2 - y1)²]

= √[(-4 - (-7))² + (-8 - (-9))²]

= √[3² + 1²]

= √10

The height is calculated as the distance between point L and the base-containment line. To calculate it, we can use the following formula for the separation between a point and a line:

height = |(y2 - y1)x0 - (x2 - x1)y0 + x2y1 - y2x1| / √[(y2 - y1)² + (x2 - x1)²]

= |(-9 - (-8))(-5) - (-7 - (-4))(-6) + (-4)(-9) - (-8)(-7)| / √[(1)² + (3)²]

= 6 / √10

Now, we can enter the height and base values into the triangle's area formula:

Area = 1/2 * √10 * 6 / √10

= 3

Triangle JKL's area is 3 square units as a result.

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a) Determine the edge length of this cube Volume =91 125 cm 3
b) Determine the side length of this square Area = 3969 cm²
PLS HELP!!!

Answers

The lengths of the edges of the cubes are 45cm and 63cm respectively.

Equations

To determine the edge length of a cube with a volume of 91,125 cm³, we can use the formula:

Volume of a cube = edge length³

Plugging in the given value, we get:

91,125 = edge length³

Taking the cube root of both sides, we get edge length

edge length ≈ 45

Therefore, the edge length of the cube is approximately 45 cm.

To determine the side length of a square with an area of 3,969 cm², we can use the formula

Area of a square = side length²

Plugging in the given value, we get:

3,969 = side length²

side length = √3,969

Using a calculator, we can simplify this to

side length ≈ 63

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add [-6 -22] + [-3 2 1]

A [-903]
B [-603]
C [-303]
D[-9-3 -5]

Answers

Answer:

I think its C. sorry if I'm wrong.

Use the method of Lagrange multipliers to find the dimensions of the least expensive packing crate with a volume of 240 cubic feet when the material for the top costs $2 per square foot, the bottom is $3 per square foot and the sides are $1.50 per square foot.

Answers

Answer:

a hard one

Step-by-step explanation:

find the 40% Axo value of x Lage:​

Answers

The answer is 40 because they are corresponding angles

La cafetería de Jina prepara una mezcla que es una combinación de dos tipos de café. El café del tipo A le cuesta 5.75 por cada libra, y café del tipo B 4.3 por cada libra. En la mezcla de este mes utilizó tres veces más la cantidad de libras de café del tipo B que del tipo A, con un costo total de 503.55. ¿Cuántas libras de café del tipo A se utilizaron?

Answers

The amount of coffee of type A that was used is given as follows:

27 lbs.

How to obtain the amounts?

The amounts of each type of coffee used are obtained using a system of equations, for which the variables are given as follows:

Variable x: amount of coffee of type A used.Variable y: amount of coffee of type B used.

The total cost was of 503.55, hence:

5.75x + 4.3y = 503.55.

The amount of coffee B used was the triple of the amount of coffee A used, hence:

y = 3x.

Replacing the second equation into the first, the amount of coffee A used is given as follows:

5.75x +  4.3(3x) = 503.55

x = 503.55/18.65

x = 27 lbs.

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Rewrite each equation without absolute value for the given conditions.
y = |x-3| + |x +2|-|x - 5| if 3

Answers

The equation obtained without the absolute value for given function

y = |x-3| + |x +2|-|x - 5| is y = 2.

Explain about the absolute value?

Without taking into account direction, absolute value describes how far a number is from zero on the number line. A number's absolute value can never be negative. Have a look at these samples.

5 is the sum of its absolute values. There are 5 units between 5 and 0.5 is -5's absolute value. There are 5 units between -5 and 0.2 + (-7) equals 5 in absolute terms. The resultant point on a number line is 5 units away from zero when depicting the addition.

The given equation:

y = |x-3| + |x +2|-|x - 5|

For x = 3

y = |3-3| + |3+2|-|3 - 5|

y = 0 + |5| - |-3|

Without absolute values:

y = 5 - 3

y = 2

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The slope of a line is given by the formula:
horizontal change
m
vertical change
True
False

Answers

False.

The slope of a line is given by the formula:

m = (change in y) / (change in x)

where "change in y" represents the vertical change and "change in x" represents the horizontal change between two points on the line.

Find the value of x.
33
30°
x =

Answers

Answer x = 117

Step by step

The triangle angle theorem states a triangle sum will equal 180 degrees.

To find x, the unknown angle, subtract

180 - 33 - 30 = 117

x = 117

ACT/SAT A passenger in a hot-air balloon spots a small fire on the ground. The angle of depression to the fire is 30°, and the height of the hot-air balloon is 150 feet. To the nearest foot, what is the horizontal distance from the hot-air balloon to the fire?

Answers

Step-by-step explanation:

law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

a,b,c being the sides of the triangle, A, B, C are the corresponding opposite angles in the triangle.

the angle of depression is the external angle of the triangle vertex at the balloon. that means the internal angle is 60°, as both together must be 90° (the angle between the height of the balloon and the horizontal line at the balloon).

the angles at the ground at the fire are mirrored : the internal angle there is 30°, the external angle is 60°.

and so,

height/sin(30) = 150/0.5 = distance/sin(60)

distance = sin(60)×150/0.5 = sin(60)×300 =

= 259.8076211... ft ≈ 260 ft

find the estimate and the exat case of the the following 23 books at $263. 64 each

Answers

Answer:

Estimate: $5,000.00

Actual: $6,063.72

Step-by-step explanation:

I would estimate by finding 20 x 250

I know that 10 x 250 would be 2500 and if I double that, I would get 5,000.

Helping in the name of Jesus.

PLEASE HELP!!!!!!!!!

△STU is reflected across the y-axis

What are the signs of the coordinates of △S’T’U’?

PLEASE LOOK AT THE PICTURE!!!!!!!!!!!!!!!

Answers

Negative x- coordinates, Negative y- coordinates. So correct option is D.

Describe Quadrant?

In geometry, a coordinate plane is divided into four parts by two perpendicular number lines called the x-axis and y-axis. Each of these four parts is called a quadrant. Quadrants are numbered in a counterclockwise direction, starting from the upper right quadrant, which is known as the first quadrant, and continuing through the other three quadrants in order. Each quadrant is defined by a positive and negative value for both the x and y coordinates. The first quadrant, for example, has both positive x and y coordinates. The second quadrant has negative x coordinates and positive y coordinates. The third quadrant has both negative x and y coordinates, while the fourth quadrant has positive x coordinates and negative y coordinates.

Quadrants are commonly used to locate points on a coordinate plane. For example, if a point has a positive x-coordinate and a positive y-coordinate, it would be located in the first quadrant. Conversely, if a point has a negative x-coordinate and a negative y-coordinate, it would be located in the third quadrant.

Quadrants are also used to describe the signs of trigonometric functions. In the first quadrant, all trigonometric functions are positive, while in the second quadrant, only the sine function is positive. In the third quadrant, only the tangent function is positive, and in the fourth quadrant, only the cosine function is positive.

In the mentioned quadrant both x and y coordinates are negative.

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The complete question is:

pls help, 50 points for answer!!! (statistics)

Answers

Answer:

Step-by-step explanation:

just listen to your teacher and you will be good at subjects

EXACTLY how big is your dictionary?


QUICKLY!!!!!!!!!!!!!!!!!

Answers

Answer:

960 pages

Step-by-step explanation:

PLEASE HELP ASAP Jessie had 1/4 of a watermelon. She cut it into 6 equal pieces to share with friends. What fraction of the whole watermelon did they each get? Responses A 32 3 2 B 64 6 4 C 124 1 24 D 424

Answers

Answer:

Its d ik becuse im smart and i lernt this in like 2nd grade

Answer: 1/24

Step-by-step explanation:

Multiply the denominator with 6 to divide it into 6 equal parts

= 1/(4•6)

= 1/24

Need help will give brainliest and 5 stars for the fastest answers with work.

Answers

The answer of A is The point (-2,2) is included in the graph of g(x) regardless of the value of b and c.The answer of B the point (2,2) would be transformed to the point (2,1) on the graph of h(x).

What is graph?

A graph is a visual representation of data, functions, or relationships between variables. It is a way of displaying information in a way that is easy to interpret and understand. Graphs typically consist of two axes, the x-axis and y-axis, and points or lines plotted on the graph to represent the data or function being displayed.

There are many different types of graphs, including line graphs, bar graphs, pie charts, scatter plots, and more. Each type of graph is used for different purposes and can display different types of data.

Graphs are commonly used in many fields, including science, economics, finance, engineering, and more. They allow researchers and analysts to easily visualize data and identify trends or patterns, making it easier to draw conclusions and make informed decisions based on the data.

A. To include the point (-2,2), we need to shift the graph of f(x) two units to the right and two units upwards. So we have:

g(x) = a f(x - (-2)) + 2

g(x) = a f(x + 2) + 2

Now we need to find the value of "a". Since the point (3,4) on the graph of f(x) is mapped to the point (2,2) on the graph of g(x), we have:

g(3) = a f(3 + 2) + 2 = 2

4a + 2 = 2

4a = 0

a = 0

Therefore, the function g(x) is:

g(x) = 0 f(x + 2) + 2

g(x) = 2

So the point (-2,2) is included in the graph of g(x) regardless of the value of b and c.

B. The function h(x) is a linear function with slope 2 and y-intercept -1. To find where the point (2,2) would end up after the transformations, we plug in x=2 into h(x) and get:

h(2) = 2(2+1)-3 = 1

So the point (2,2) would be transformed to the point (2,1) on the graph of h(x).

The transformations made to f(x) to obtain h(x) are a horizontal shift to the left by one unit (x+1), a vertical stretch by a factor of 2 (2(x+1)), and a vertical shift downwards by three units (-3).

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Give a solution to 3x+7y=11 as an ordered pair, (x,y)

Answers

After solving the given equation 3x+7y=11 we know that (A) (6, -1)  lies on the graph of the given equation.

What is an equation?

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

A mathematical equation is a statement that two amounts or values are equal, such as 6 x 4 = 12 x 2. 2.

A noun that counts.

When two or more components must be taken into account collectively in order to comprehend or describe the overall situation, this is known as an equation.

So, we are asked to identify the point on its graph.

(6, -1)

Adding "x=6" and "y=-1"

3x+7y=3×6+7×(-1)

= 18-7

= 11

Thus, on the graph of 3x+7y=11, (6, -1) is located.

(1,-2)

X = 1 and Y = -2

3x+7y=3×1+7×(-2)

= 3-14

= -11

As a result, the graph of 3x+7y=11 does not contain (1, -2)

(0,-4)

X = 0 and Y = -4

3x+7y=3×0+7×(-4)

= -28

Hence, the graph of 3x+7y=11 does not contain (0, -4)

(0,4)

By setting x=0 and y=4,

3x+7y=3×0+7×4

= 28

In light of this, the graph of 3x+7y=11 does not contain (0, 4)

Therefore, after solving the given equation 3x+7y=11 we know that (A) (6, -1)  lies on the graph of the given equation.

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Complete question:

Which ordered pair is on the graph of equation 3x+7y=11?

a. (6,-1)

b. (1,-2)

c. (0,-4)

d. (0,4)

Write the equation for each line

Answers

Answer:

y = -x

Step-by-step explanation:

We can use two points on the line to write the equation.

Using ( 0,0) and (2,-2), we can find the slope.

m = ( y2-y1)/(x2-x1)

    = ( -2-0)/(2-0)

    = -2/2

    = -1

The y intercept is 0.

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

y = -x+0

y = -x

Does anyone know this answer??

Answers

Answer:

d ≈ 546 m

Step-by-step explanation:

using the sine ratio in the right triangle

sin35° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{313}{d}[/tex] ( multiply both sides by d )

d × sin35° = 313 ( divide both sides by sin35° )

d = [tex]\frac{313}{sin35}[/tex] ≈ 546 m ( to the nearest whole number )

Choose the correct simplification of the expression −5x2(4x − 6x2 − 3).

30x4 − 20x3 + 15x2
−11x4 − x3 − 8x2
−30x4 + 20x3 − 15x2
30x4 + 20x3 + 15x2

Answers

Answer:

first option (30x4 − 20x3 + 15x2)

. A bread recipe calls for 3/4 cup rye flour, 2/4 cup wheat flour,
and ¾ cup white flour. How much flour is in the bread? Show
your work

Answers

Answer:

2 cups of flour

Step-by-step explanation:

We want to find the total amount of flour, which means we need to add.

3/4 + 2/4 + 3/4 =

8/4

We can simplify this term.

8/4 =2

2 cups of flour

Answer:

2 cups of flour

Step-by-step explanation:

A bread recipe has,

3/4 cup of rye flour

2/4 cup of wheat flour

3/4 cup of white flour

So, to find the total amount of flour, add all the given fractions together.

[tex]\sf Total\: amount\: of\: flour = rye \:flour + wheat\: flour + white \:flour\\\\\sf Total\: amount\: of\: flour =\frac{3}{4} +\frac{2}{4} +\frac{3}{4} \\\\\sf Total\: amount\: of\: flour =\frac{3+2+3}{4} \\\\\sf Total\: amount\: of\: flour =\frac{8}{4} \\\\\sf Total\: amount\: of\: flour =2 \:cups[/tex]

Question
In rectangle ABCD, point E lies half way between sides AB and CD and halfway between sides AD and BC. If AB = 7 and
BC= 6, what is the area of the shaded region? Write your answer as a decimal, if necessary. Do not include units in your
answer.
evious
D
E
B

Answers

Answer:

The area of the shaded region is 21.

Step-by-step explanation:

Since point E lies halfway between AB and BC, the area of the shaded region (As) consists of two identical triangles with base equal to AB and height equal to half the measure of BC:

[tex]A_s=2\times A_t[/tex]

Where At is the area of each triangle.

[tex]A_t=\dfrac{AB\times BC/2}{2}[/tex]

[tex]A_t=\dfrac{AB\times BC}{4}[/tex]

We know AB=7 and BC=6, thus:

[tex]A_t=\dfrac{7\times6}{4} =\dfrac{42}{4}[/tex]

Simplifying:

[tex]A_t=\dfrac{21}{2}[/tex]

Finally:

[tex]A_s=2\times\dfrac{21}{2}[/tex]

[tex]A_s=21[/tex]

The area of the shaded region is 21.

Note the area of the shaded region is half the area of the rectangle.

I believe the area would be 22

A jet travels 2576 miles against a jetstream in 4 hours and 3216 miles with the jetstream in the same amount of time. What is the rate of the jet in still air and what is the rate of the jetstream?

Answers

Answer: 80 mph fet stream

Step-by-step explanation:

2576/4 + the jet stream=3216/4- jet stream

simplified, 80 mph

Find the slope of the following line:
y=−7x−6

Answers

Answer: -7

Step-by-step explanation:

in the linear equation, y=mx+b, m represents the slope of the line, so when looking at an equation the best way to find the slope is to find where the m variable would be

Time in minutes a. Define variables and write an equation to represent the relationship between the quantities b. How far would the biker travel in 20 minutes? c. If the biker traveled 48 miles, how many minutes did he bike? Round to the nearest tenth.​

Answers

A. The equation that relates these variables is:

d = s * t. B. The biker would travel 10 miles in 20 minutes. C. The biker would bike for 96 minutes to travel 48 miles. Rounded to the nearest tenth, this is 96.0 minutes.

How did we get the values?

a. Let's define the variables:

t = time in minutes

d = distance traveled by the biker in miles

s = speed of the biker in miles per minute

The equation that relates these variables is:

d = s * t

b. If the biker travels for 20 minutes, we can use the equation above to find the distance traveled:

d = s * t

d = s * 20 (since t = 20 minutes)

We need to know the speed of the biker to calculate the distance traveled. Let's assume that the biker's speed is 0.5 miles per minute (which is equivalent to 30 miles per hour):

d = 0.5 * 20

d = 10

Therefore, the biker would travel 10 miles in 20 minutes.

c. If the biker traveled 48 miles, we can rearrange the equation above to find the time:

d = s * t

t = d / s

We need to know the speed of the biker to calculate the time. Let's assume that the biker's speed is still 0.5 miles per minute:

t = 48 / 0.5

t = 96

Therefore, the biker would bike for 96 minutes to travel 48 miles. Rounded to the nearest tenth, this is 96.0 minutes.

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Use the piecewise function to answer the following questions. (NEED HELP ASAP)

Answers

a) To find f(-2), first determine which part of the piecewise function the x-value of -2 falls into.

b) f(5) can be computed -1.5

c) In f(x) = -7/2, x = -3.

What is piecewise function?

A type of function that is defined by multiple sub-functions, each of which is applied to a specific interval or domain of the main function. It is made up of individual pieces, each of which is defined by an equation with a specific domain.

a) To find f(-2), first determine which part of the piecewise function the x-value of -2 falls into. Since -2 is greater than -6 and less than 0, the first part of the piecewise function applies. Thus, f(-2) can be computed as follows:

f(-2) = 1/2(-2) - 2

= -3

b) To find f(5), first determine which part of the piecewise function the x-value of 5 falls into. Since 5 is greater than 0 and less than or equal to 8, the second part of the piecewise function applies. Thus, f(5) can be computed as follows:

f(5) = 1/2(5) - 4

= -1.5

c) To find x when f(x) = -7/2, first determine which part of the piecewise function applies. Since -7/2 is less than 0, the first part of the piecewise function applies. Thus, x can be computed as follows:

-7/2 = 1/2x - 2

x = -4+7

= -3

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189=-6x+3(-7x-18) what is x

Answers

Answer:

x = -9

Step-by-step explanation:

To solve for x in this equation, we first need to simplify the right-hand side by distributing the 3:

189 = -6x + (-21x - 54)

Next, we can combine like terms on the right-hand side:

189 = -27x - 54

Adding 54 to both sides:

243 = -27x

Dividing both sides by -27:

x = -9

Therefore, the solution to the equation 189=-6x+3(-7x-18) is x = -9.

Answer:

To solve for x in the equation 189=-6x+3(-7x-18), we can use the following steps:

Distribute the 3 to the terms inside the parentheses:

189 = -6x + (-21x - 54)

Combine like terms on the right side of the equation:

189 = -27x - 54

Add 54 to both sides of the equation:

189 + 54 = -27x

Simplify the left side of the equation:

243 = -27x

Divide both sides by -27:

x = -9

Therefore, x is equal to -9.

Hope This Helps!

Which expression is equivalent to g/2h

Answers

Answer:g/2h

Step-by-step explanation:

g/2h   x   g/2h=  g/2h

Suppose a State of California bond will pay $1,000 eight years from now. If the going interest
rate on these 8-year bonds is 4.5%, how much is the bond worth today?
a. $682.09
b. $597.71
c. $703.19
d. $829.76
e. $675.06

Answers

Answer:

a. $682.09

Step-by-step explanation:

We can use the present value formula to find the value of the bond today:

PV = FV / (1 + r)^n

where PV is the present value, FV is the future value, r is the interest rate, and n is the number of periods.

Substituting the given values, we get:

PV = 1000 / (1 + 0.045)^8 = $682.09

Therefore, the bond is worth $682.09 today, which is option (a).

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PRACTICE ANOTHER
1. [-/1 Points]
DETAILS
HARMATHAP12 6.3.005.
Find the future value of an annuity of $1300 paid at the end of each year for 10 years, if interest is earned at a rate of 5%, compounded annually. (Round your answer to the
nearest cent.)
$
Need Help?
Read 11
ASK YOUR TEACHER

Answers

We can use the formula for the future value of an ordinary annuity:

FV = P * ((1 + r)^n - 1) / r

where:
- FV is the future value of the annuity
- P is the periodic payment (in this case, $1300)
- r is the interest rate per period (in this case, 5% per year, compounded annually)
- n is the total number of periods (in this case, 10 years)

Plugging in the values, we get:

FV = 1300 * ((1 + 0.05)^10 - 1) / 0.05

Using a calculator, we get:

FV ≈ $16,524.12

Therefore, the future value of the annuity is approximately $16,524.12.
Other Questions
application failed to start *************************** description: failed to configure a datasource: 'url' attribute is not specified and no embedded datasource could be configured. reason: failed to determine a suitable driver class why does the juvenile justice system emphasize the rahbilitation over punishment?? in the u.s. a candy bar costs $1. if the nominal exchange rate were 6 chinese yuan per dollar and the real exchange rate were 1.2, then, what would be the price of a candy bar in china? when the price level falls, the number of dollars needed to buy a representative basket of goods espinozahannah446 avatarespinozahannah44659 minutes agoSpanishHigh SchoolQu recomiendas?There are also different cultures in the United States. What recommendations do you have to improve the relationships between cultures for example Mexican culture & American culture, how do they get along, what measures do they take to get along? Es posible? Cmo? Write 5 recommendations.________________________________Expectations:Include and introduction and conclusion.Write a paragraph with five recommendation using the subjunctive mood.Use an expression of recommendation at the beginning of your sentences.Follow the expression of recommendation with que and a verb in the presentsubjunctive. Here are some verbs you can use. Also, the vocabulary list from Chapter 4 has some helpful words.Ir aVisitarManejar aPasar tiempo con /enHablar con Which description creates the strongest contrast between the setting and thecharacter's mood? A. Leon gazed triumphantly over the view from the top of the steepmountain. B. Franny glided down her front steps, smiling in the early springsunshine, C. Juana trudged heavily through the pouring rain, sighing at her badluck. D. Jaideep felt a strange calm as he stared out the window at thetrees twisting in the storm. the 80/20 principle states that: select one: a. 20% of companies generate 80% of product sales b. 80% of the time, financial projections will be accurate c. 80% of all products are consumed by 20% of the populations d. 20% of customers generate 80% of the demand what actions could we take to reduce the impact of humans on ocean ecosystems? group of answer choices create marine protected areas where harmful human activities such as fishing are banned by controlling and limiting the use of fertilizers and pesticides in agriculture by enforcing existing laws on fishing quotas and practices and establishing better international agreements reducing the amount of plastic used e.g. plastic bags and packaging all of the above! Simplify: 5x2 +7y -6z, 4y + 3x2, 9x2 +2z2, 2z2 9y, 2y 2x2 3. Light and shadow are used to create. And. One result of meiosis is the formation of gametes. true false what factors that influence or determine what we eat Describe ways in which women and men are made aware of gender stereotypes about cognitive abilities in everyday life. The population of California is approximately 3. 8 107, and the population of Nebraska is approximately 1. 9 106. Which state has the larger population, and by how many times is its population larger than the other states? What is the area of the shaded region? What region of femur forms part of hip joint? How many grams of butanethiol can be deodorized by reaction with 4.50 mL of 9.70102 M NaOCl You have been following the career of a woman by the name of Ruth Bader Ginsberg. Ginsberg was a professor at Rutgers University School of Law, Newark School of Law and Columbia Law School, a litigator for the ACLU, and a federal judge on the US of Appeals for the District of Columbia Circuit. You feel that she is very fair and even tempered, and you would like to give her a job. Where might she fit? In what way might you be able to get her a federal job and what specific role allows you to do this? I ALREADY KNOW THE ROLE I JUST NEED THE REST OF THE ANSWERS 1. in sentence 1, which two latin words comprise the latin idiom? 1. eo tempore, octavius contra marcum antonium bellum gessit. at that time, octavius waged war against mark anthony. writer an acticle for publication in any of local papers on three problem that worry the community and suggest