nitrogen has half-life of 15 hours. how much nitrogen will remain in an 18.0 g sample after 60 hours?

Answers

Answer 1

If the half-life is 15 hours and there are 18 g, it means that after 15 hours,

18/2 grams would decay, leaving behind 18/2 grams

This means that 9 grams would be left.

After another 15 hours (making a total of 30 hours), 9/2 grams would decay leaving behind 9/2 grams (i.e 4.5 grams.

After another 15 hours (making a total of 45 hours), 4.5/2 grams would decay leaving behind 4.5/2 grams. Hence 2.25 grams are left

After another 15 hours (making a total of 60 hours), 2.25/2 grams would decay leaving behind 2.25/2 grams.

Hence after 60 hours, only 1.125 grams would be left


Related Questions

What is the contrapositive of the following sentence?If two triangles are congruent, then their corresponding angles are congruent.

Answers

Given:

If two triangles are congruent, then their corresponding angles are congruent.

Contapositive statement:

If two triangles are not congruent , then their corresponding angles are not congruent.

Option C is the correct answer

when Angel left his house in the morning his cell phone battery was partially charged. Let B represent the charge remaining and Angels battery, as a percentage, T hours since Angel left his house. A graph of B is shown below. Write an equation for fee then State the slope of the graph and determine its interpretation in the context of the problem

Answers

[tex]\begin{gathered} POINT\text{ 1 (0,}36\text{)} \\ \text{POINT 2 (}9,0\text{)} \\ Slope\text{ = }\frac{y2-y1}{x2-x1}=\frac{0-36}{9-0}=\frac{-36}{9}=-4 \\ \text{slope}=-4 \\ y=-4x+b \\ U\sin g\text{ point 1} \\ 36=-4(0)+b \\ 36=0+b \\ b=\text{ 36} \\ y=-4x+36 \\ \text{The equation is }y=-4x+36 \end{gathered}[/tex]

Jolene invests her savings in two bank accounts, one paying 4 percent and the other paying 12 percent simple interest per year. She puts twice as much in the lower-yielding account because it is less risky. Her annual interest is 8740 dollars. How much did she invest at each rate?Amount invested at 4 percent interest is $Amount invested at 12 percent interest is $

Answers

We will have the following:

First, we recall that the simple interest formula is given by:

[tex]A=P(1+rt)[/tex]

Now, for the accounts that are described in the problem we will have that:

[tex]\begin{gathered} A_1+2P=2P(1+(0.04)(1))\Rightarrow A_1+2P=2P(1.04) \\ \\ A_2+P=P(1+(0.12)(1))\Rightarrow A_2+P=P(1.12) \end{gathered}[/tex]

Now, we have that:

[tex]A_1+A_2=8740[/tex]

Then:

[tex]\begin{gathered} A_1+A_2+2P+P=2P(1.04)+P(1.12) \\ \\ \Rightarrow8740+3P=3.2P\Rightarrow8740=0.2P \\ \\ \Rightarrow P=43710 \end{gathered}[/tex]

So, the amount invested at 4% interest is $87 420.

And, the amount invested at 12% interest is $43 710.

If 5 friends want to share 1.25 of a pizza evenly how much pizza would each person get?

Answers

Answer:

0.25

Step-by-step explanation:

1.25 ÷ 5 = 0.25

Answer = 0.25

Hope this helps!

Btw, Brainliest if correct, thanks!

graph the line that represents a proportional relationship between y and x where the unit rate of change of y with respect to c is 4/5. in other words a change of 1 unit in x corresponds to a change of 4/5 units in y

Answers

The graph that represents the proportional relationship between x and y with a unit rate of 4/5 is shown in the image below.

How to Graph the Line of a Proportional Relationship?

If the relationship between x and y is a proportional relationship, the equation that models the relationship between x and y can be expressed as y = mx. Here, the unit rate is represented by the value of  in the equation.

This means that, the graph that represents the proportional relationship between x and y would have a slope of the value of m. m, which is the slope of the line, is the ratio of the rose of the line to the run of the line.

Thus, where m = 4/5, the equation that represents the proportional relationship would be:

y = 4/5x.

Therefore, the graph below shows the proportional relationship between x and y which is represented by the equation, y = 4/5x.

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one afternoon the shadow of a flagpole is 21 feet long at the same time the shadow of 109 foot high building is 54 feet long what is the approximate Height of the flag pole

Answers

Coplanar lines are referred to as parallel lines because they may be extended indefinitely without ever intersecting. || is the sign meaning "parallel to." If two lines are drawn, they don't have to be parallel, and a third line runs across them as seen in the diagram below. We may obtain eight distinct angles by drawing two parallel lines, and then drawing a transverse line through them.

Four pairs of matching angles will be created from all eight angles. One of the pairings is represented by angles F and B in the preceding diagram. If the two lines are parallel, corresponding angles are congruent.

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g(9)+h(-14) if g(x)=14-2/3x and h(x)=-x-7?

Answers

The value of g(9) + h(-14) is 15.

We are given two functions, h(x) and g(x).The function h(x) is defined as given below:The function h(x) equals -x - 7.The function g(x) is defined as given below:The function g(x) equals 14 - (2/3)x.We have to find the sum of g(9) and h(-14).To find g(9), replace "x" with 9 in the definition of function "g".g(9) = 14 - (2/3)*9g(9) = 14 - (2*3)g(9) = 14 - 6g(9) = 8To find h(-14), replace "x" with -14 in the definition of function "h".h(-14) = -(-14) - 7h(-14) = 14 - 7h(-14) = 7g(9) + h(-14) = 8 + 7g(9) + h(-14) = 15

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can someone please help me out with consumer math. please and thank you

Answers

currency-

exchange rate- c

extrinsic value - g

fiat monetary system- e

gold standard - a

intrinsic value

trade

Find the value of p if the sum of negative 4
and the quantity p divided 5 is sixteen.
A. 4
B. -60
C. 60
D. 100

Answers

Answer:

100

Step-by-step explanation:

[tex] - 4 + \frac{p}{5} = 16[/tex]

Multiply through by the LCM which is 5

[tex] 5 \times \frac{ - 4}{1} + 5 \times \frac{p}{5} = \frac{16}{1} \times 5[/tex]

[tex] - 20 + p = 80[/tex]

[tex]p = 80 + 20[/tex]

[tex]p = 100[/tex]

Use the drawing tool(s) to form the correct answer on the provided graph.
The graph of function f is shown on the coordinate plane. Graph the line representing function g, if g is defined as shown below.
g(x) = 2 f (x - 1)
ights reserved
Drawing Tools
Select
Line
Click on a tool to begin drawing
-8
-6 4
Undo
Reset

Answers

The finished graph of g(x) = 2f(x - 1) would be as seen in red.

What is defined by the term transformation?Image transformations usually involve the modification of various bands of data, either from a single source images or from two or more images acquired at different times of the same area.

We were provided a graph of the function f(x).

g(x) = 2f is another function definition (x -1).

Now we must use the drawing tool(s) to create the proper graph of a function g(x) = 2f (x -1).

which can be discovered through transformation.

f(x) becomes f (x-1)

Then, f(x-1) becomes 2f (x-1)

f(x-1) shifts this same graph of f(x) by one unit to the right.

Whereas 2f(x-1) extends the graph of f(x-1) by a factor of 2. So we just need to double the y-coordinates of the points on the graph.

As a result, the finished graph of g(x) would be as seen in red.

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help help hellpppppp​

Answers

The equation of the line will be y = 2x + 1.

What do we mean by the equation of the line?The set of points that make up a line in a coordinate system is represented algebraically by a line's equation. An equation of a line is an algebraic expression that represents the many points that together make up a line in the coordinate axis as a set of variables, x, and y.

So, the equation of the line:

The equation is parallel to y = 2x -2 and the slopes equation is y = mx + b where m is the slope.So, the slope is 2.

Then, y = 2x + b

Now, substitute x = 1 and y = 3 in the above equation to find b:

y = 2x + b3 = 2(1) + bb = 3 - 2b = 1

So, the equation of the line will be: y = 2x + 1

Therefore, the equation of the line will be y = 2x + 1.

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NEED HELP URGENTLY!!!!!

20. Write a word problem such that the equation
to be formed for solving the problem is
QUESTION 6x +4(x - 10) = 140.
OPEN

Answers

In linear equation, x = 18 is the value of x in equation .

What is a linear equation example?

Ax+By=C is the usual form for two-variable linear equations.As an illustration, the conventional form of the linear equation 2x+3y=5 When an equation is given in this format, finding both intercepts is rather simple (x and y).A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.

6x +4(x - 10) = 140.

6X + 4X - 40 = 140

10X = 140 + 40

10x = 180

  x = 180/10

  x = 18

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using trig to find sides

Answers

Step 1: Problem

Find the measure of

Step 2: Concept

Use trigonometry ratio to find the value of angle x.

Step 3: Method

Given data

Opposite = 3.2 side facing given angle

Adjacent = 5

[tex]\begin{gathered} U\sin g\text{ tagent formula} \\ \tan \theta\text{ = }\frac{Opposite}{\text{Adjacent}} \\ \tan x\text{ = }\frac{3.2}{5} \\ \tan x\text{ = 0.64} \\ x\text{ = }\tan ^{-1}\text{ 0.64} \\ x\text{ = 32.6} \end{gathered}[/tex]

Step 4: Final answer

Order the following functions by growth rate

Answers

The following functions have the following growth rates:

2/N < 37 <√N < N < N log log N < N log N < N log(N^2) < N . log^2 . N < N^1.5 < N^2 <N^2. log N < N^3 < 2^N/2 < 2^N

How can you determine a function's growth rate?

The present value is divided by the past value, multiplied to the 1/N power, and then one is subtracted to get the formula for the average growth rate over time approach.

How may the growth rates of two functions be compared?

Determine the limit limxf(x)g(x) lim x f (x) g (x) given the functions f(x) and g(x).The growth rate of f(x) is a times the growth rate of g(x) for sufficiently large x if the limit in Step 1 is a finite constant a0 a 0.

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What is the range of the relation {(1, 2), (2, 4), (3, 2), (4, 6)}?
O {1, 2, 3, 4)
O {2, 4, 6}
O (2, 4)
O {1, 2, 3, 4, 6}​

Answers

Answer:

  (b)  {2, 4, 6}

Step-by-step explanation:

You want the range of the relation {(1, 2), (2, 4), (3, 2), (4, 6)}.

Range

The range of a relation is the set of possible output values. When values are listed as ordered pairs, it is the set of second numbers of those pairs.

The list of second numbers is ...

  2, 4, 2, 6

When these are expressed as a set, duplicates are removed, and they are listed in order:

  {2, 4, 6} . . . . the range of the relation

Divide. Reduce your answers to lowest terms.5/8 divide (-3 3/4)

Answers

[tex]\text{Answer: - }\frac{1}{6}[/tex]

Given data

5/8 divided by (-3 3/4)

Firstly, convert the mixed fraction into an improper fraction

[tex]\begin{gathered} -3\text{ }\frac{3}{4}\text{ can be converted to the below improper fraction} \\ -3\text{ }\frac{3}{4}\text{ = -}\frac{(4\text{ x (3) + 3}}{4} \\ -\text{ 3}\frac{3}{4}\text{ = - }\frac{12\text{ + 3}}{4} \\ -\text{ 3 }\frac{3}{4}\text{ = - }\frac{15}{4} \\ \text{Therefore, 5/8 divided by - 15/4} \\ \frac{5}{8}\text{ / -}\frac{15}{4} \\ \frac{5}{8}\text{ x -}\frac{4}{15} \\ =\text{ }\frac{-20}{120} \\ =\text{ - }\frac{1}{6} \end{gathered}[/tex]

Answer = - 1/6

the ratio to use to find the area of the sector is ____.the area of the circle is ____. the area of the sector is ____.

Answers

Ratio = 1/6

Area of circle = 64π

Area of sector = 64π/6 = 32π

Explanation:

Area of sector when measured in degrees:

[tex]Areaof\sec tor\text{ = }\frac{\theta}{360}\times\pi r^2[/tex]

The ratio here is the ratio of the central angle to 360

ratio = 60/360 = 1/6

the ratio to use to find the area of the sector is 1/6

Area of a circle = πr²

r = radius = 8

Area of a circle = π × 8² = π × 8 × 8

Area of the circle = 64π

Area of sector:

θ = 60°

Area of sector when measured in degrees:

[tex]Areaof\sec tor\text{ = }\frac{\theta}{360}\times\pi r^2[/tex][tex]\begin{gathered} =\frac{60}{360}\times\pi\times8^2 \\ =\frac{1}{6}\times\pi\times8^2 \end{gathered}[/tex][tex]\begin{gathered} \text{Area of sector = }\frac{64}{6}\pi\text{ (in simplest form)} \\ \text{Area of sector = }\frac{64}{6}\pi\text{ = }\frac{32}{3}\pi \end{gathered}[/tex]

The x-intercept of 2x + 3y = 12 is (0,4).A.TrueB.False

Answers

The x intercept is the value of x when y = 0

Looking at the equation,

2x + 3y = 12

If we substitute y = 0 into the equation, it becomes

2x + 3*0 = 12

2x + 0 = 12

2x = 12

x = 12/2

x = 6

Therefore, the statement is false

Which equation represents a proportional relationship A y=3x/4B y=3/4x C y=3x/4 +1D y=3/4x +1

Answers

Answer: Out of the given options, we need to pick a relationship that is proportional:

In general, an equation that represents a proportional relationship has the following form:

[tex]y=kx[/tex]

Therefore, the following is a proportional equation:

Option-(A)

[tex]\begin{gathered} y(x)=\frac{3}{4}x \\ k=\frac{3}{4} \end{gathered}[/tex]

Explanation:

Because there is a constant multiple or a coefficient, and it indeed matches the form of equations that are proportional.

A triangular pane of glass has a height of 48 inches and an area of 432 square inches. What is the length of the base of the pane? The length of the base of the pane is inches.

Answers

We can express the area of a triangle as half the product of its base and height:

[tex]A=\frac{b\cdot h}{2}[/tex]

Then, we can express the base in function of the known variables (area and height) as:

[tex]\begin{gathered} A=\frac{b\cdot h}{2} \\ 2A=b\cdot h \\ b=\frac{2A}{h} \end{gathered}[/tex]

We replace with the known values (A=432 sq in, h=48 in) and calculate the base b:

[tex]b=\frac{2\cdot432\text{ in}^2}{48\text{ in}}=18\text{ in}[/tex]

Answer: the base is 18 inches.

Plot the points on your graph paper to answer the question.

Answers

Answer:

y=2x

y=x+2

there's ur answer.

how do I graph r=6+3sintheta ?

Answers

Given:

[tex]r=6+3\sin \theta[/tex]

Let's graph the equation.

Apply the formula:

[tex]r=a\pm b\sin \theta[/tex]

Where:

a = 6

b = 3

Thus, we have the following:

Subsitute -θ for θ to know thw axis of symmetry:

[tex]\begin{gathered} r=6+3\sin (-\theta) \\ \end{gathered}[/tex]

Now, solve for θ = 1 and -1:

[tex]\begin{gathered} r=6+3\sin (1) \\ r=6.05 \\ \\ r=6+3\sin (\text{ -1)} \\ r=5.94 \end{gathered}[/tex]

Since sinθ is not equal to sin(-θ), the pole will be the point of symmetry.

To find the x-intercept, substitute 0 for θ:

[tex]\begin{gathered} r=6+3\sin \theta \\ \\ r=6 \end{gathered}[/tex]

Hence, the limacon will cross the x-axis on both sides at x = 6 and -6.

Since the addition is with the sine function, the limacon will face down.

Now, input different values for θ and solve for r.

We have:

When θ = pi/2:

[tex]r=6+3\sin (\frac{\pi}{2})=9[/tex]

When θ = pi:

[tex]r=6+3\sin (\pi)=6[/tex]

When θ = 9pi/6:

[tex]r=6+3\sin (\frac{9\pi}{6})=3[/tex]

Thus, we have the points:

[tex](\frac{\pi}{2},9),(\pi,6),(\frac{9\pi}{6},3)[/tex]

Using the coordinates we have the graph:

Which triangle is similar to △JKH?
1. △MKN
2. △JOG
3. △MQL
4. All triangles are similar to △JKH

Answers

Given that Line a is parallel to Line b (Line a ║ Line b), the triangle that is similar to ΔJKH is 1. ΔMKN

What are similar triangles in geometry?

Similar triangles are triangles that have congruent corresponding angles, and in which all three corresponding sides are proportional.

The given parameter is Line a is parallel to Line b, which gives: a║b

Two triangles are similar if they satisfy the following conditions:

Two angles in one triangle are equal to two angles in the other triangle.Each of the three corresponding sides of the two triangles are proportional.Two sides of one triangle are proportional to the corresponding two sides on the other triangle, and the included angle between the specified two sides in both triangles are congruent.

According to alternate angles theorem, the angles ∠JHK in ΔJKH is congruent to the ∠KNM in triangle ΔMKN

Similarly, the angle ∠HJK in ΔJKH is congruent to the ∠KMN in ΔMKN

Therefore, ΔJKH is similar to ΔMKN by Angle-Angle, AA similarity postulate.

The correct option for the triangle similar to ΔJKH is option 1. ΔMKN

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A person 1.85 m tall walks towards a lamppost on level ground at a rate of 0.5 m/sec. The lamp on the post is 5 m high. At which rate is the tip of the person's shadow moving toward the lamppost when the person is 4 I from the post? Please enter your answer in decimal format with three decimal places.

Answers

Using the Pythagorean Theorem and implicit differentiation, it is found that the tip of the person's shadow is moving toward the post at a rate of 0.393 m/sec when the person is 4 m from the post.

What is the Pythagorean Theorem?

The Pythagorean Theorem is a geometry axiom that relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, stating that the hypotenuse squared is the sum of the legs squared, according to the following equation:

[tex]h^2 = l_1^2 + l_2^2[/tex]

In the context of this problem, we have that:

The distance d between the person's shadow and the lamp is the hypotenuse of a right triangle.The legs are the person shadow and the lamp.

Hence the following relation between these variables is established:

d² = x² + y².

Applying implicit differentiation, the rate of change of the distance is given as follows:

[tex]d\frac{dd}{dt} = x\frac{dx}{dt} + y\frac{dy}{dt}[/tex]

The height remains constant, hence:

[tex]\frac{dy}{dt} = 0[/tex]

The other parameters are given as follows:

y = 5 - 1.85 = 3.15 m (vertical distance).x = 4 m (distance of the person from the post).dx/dt = 0.5 m/s (velocity of the person).

Hence the distance at the desired instant is:

d² = 4² + 3.15²

d = sqrt(4² + 3.15²)

d = 5.091 m

The rate of change of the distance is found as follows:

5.091dd/dt = 4 x 0.5

dd/dt = 2/5.091

dd/dt = 0.393 m/sec.

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Graph the system of equations 2y=8x+18 24+4y=x

Answers

Answer:

draw the graphic vertical and edges line

put the dot on line

And put the 2y=8×+18 24+4y=×


Write a polynomial function f of least degree that has rational coefficients, a leading
coefficient of 1, and the given zeros of -1, 2, and -3i. Show all work.

Answers

The least degree polynomial function with rational  coefficients and the given zeros, -1, 2 and 3i is f(x) =[tex]x^{2} -x -2(\sqrt{x} -9)[/tex]

What do we mean by polynomial function?

A polynomial function is one that involves only non-negative integer powers or positive integer exponents of a variable in an equation such as the quadratic equation, cubic equation, and so on.

For example, 2x+5 is a polynomial with an exponent of one.

So given zeroes are -1 , 2 and 3i

We have,

x = -1

x +1 =0

Similarly for 2

x = 2

x -2 = 0

Again, For 3i

We have, x = 3i

Rewrite as x =  [tex]\sqrt{-9}[/tex]

For easy calculation, squaring on both sides

[tex]x^{2} = -9[/tex]

[tex]x^{2} +9[/tex] =0

So, the polynomial has the function:

(x + 1)(x - 2) ([tex]\sqrt{x} -9[/tex])

[tex]x^{2} - 2x +x -2 (\sqrt{x} -9)\\x^{2} -x -2(\sqrt{x} -9)\\[/tex]

Therefore, the least degree polynomial function with rational  coefficients and the given zeros, -1, 2 and 3i is f(x) =[tex]x^{2} -x -2(\sqrt{x} -9)[/tex].

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32 oz for 3.29 or 24 oz for 2.59 find the better buy round to the nearest cent or hundreth.

Answers

Determine the unit price of 32 oz for $3.29.

[tex]\begin{gathered} \frac{3.29}{32}=0.1028 \\ \approx0.10 \end{gathered}[/tex]

Determine the unit price for 24 oz for $2.59.

[tex]\begin{gathered} \frac{2.59}{24}=0.1079 \\ \approx0.11 \end{gathered}[/tex]

The unit price of 32 oz for $3.29 is less. So the better buy round is 32 oz for $3.29.

Find the scale factor of APMN to AZXY. * X 4 b Z 6 10 9 NV

Answers

Answer:

The scale factor is 5 / 2

Explanation:

The scale factor is the ratio of the side lengths of the bigger triangle to the smaller triangle.

The scale factor is also the ratio of the corresponding sides of the two traingles.

The ratio of MP to XZ is

[tex]\frac{MP}{XZ}=\frac{10}{4}[/tex]

Simplification gives

[tex]\frac{5}{2}[/tex]

Hence, the scale factor is 5 /2 or 2.5.

Jerome is constructing a table of values that satisfies the definition of a function.

Answers

It is important to know that a function associates to every elemento of x a unique element of y. In other words, x-values should no repeat. Having said that, we can't fill the blank with -1, 0, 11, or 17.

Hence, the answers are -5 and 2.

Find the equation of a parabola with a focus of (0, 15) and directrix y = –15.

Answers

The equation of the parabola is x² = 60y after applying the concept of the parabola.

What is a parabola?

It is defined as the graph of a quadratic function that has something bowl-shaped.

(x - h)² = 4a(y - k)

(h, k) is the vertex of the parabola:

a = √[(c-h)² + (d-k²]

(c, d) is the focus of the parabola:

It is given that:

Focus of (0, 15) and directrix y = –15.

Let (x, y) be on the parabola:

The distance between focus and (x, y):

The distance formula can be given as:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\rm d=\sqrt{(x-0)^2+(y-15)^2}[/tex]

[tex]\rm d=\sqrt{x^2+(y-15)^2}[/tex]

Directrix y = -15

y + 15 = 0

[tex]\rm \sqrt{x^2+(y-15)^2} = |y + 5|[/tex]

Squaring both sides:

x² + (y - 15)² =  (y + 15)²

x² + y² -30y + 225 =  y² + 30y + 225

x² -30y  = 30y

x² = 30y + 30y

x² = 60y

Thus, the equation of the parabola is x² = 60y after applying the concept of the parabola.

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according to most scholars, life expectancy in the united states increased dramatically after 1900 because of group of answer choices the introduction of smallpox inoculation. the development of new medical treatments. changes in nutrition and living conditions. the natural evolution of epidemics. the natural evolution of microorganisms into less dangerous forms. Hiro picks up four digits card, he says: I can make a multiple of 10 with these cards. I can also make a number that rounds to 5300 and a number where the digit 8 is worth 800? Simplify completely (7x+11x-6)/(7x-10x+3) Was the cask of amontillado based on an actual incident? A teacher makes Hawaiian popcornfor the 26 students in her class by adding 1 batch ofHawaiian popcorn seasoning to 13 cups of popcorn.Each student gets 2 cups of popcorn. How manybatches of seasoning does the teacher use? Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into thecorrect position in the answer box. Release your mouse button when the item is place. If you change your mind, dragthe item to the trashcan. Click the trashcan to clear all your answers..Identify the sentence parts by placing the red abbreviations in their correct locations. Put parentheses around theprepositional phrases. Identify the subject, verb, and any complements (direct object, indirect object, subjectcomplement, objective complement).Maine's eastern boundary is the western edge of the Atlantic Ocean.Verb, subject prepositional phrase linking verb subject complement direct object indirect object object complement Which characteristics should be avoided in formal writing? Please help quickly Thnaks primitive transportation and storage systems that make local distribution ineffective if not impossible, the lack of clean water, and the lack of effective sewer systems are all examples of what type of barrier? Dean started with 5 metersof yarn. He used 300millimeters of yarn each dayfor 5 days. How manymeters of yarn does Deanhave left? What is NOT another name for line qA) line RLB) line LQC) line LGD) line RG charlene, a 26-year-old african american law school graduate, is engaged to be married to raphael, her classmate from law school. according to current marriage trends, charlene's and raphael's marriage would be considered an example of a(n) . What is an example of how gender ideology is often reflected in gender stereotypes?. as part of the treatment for a combat veteran with posttraumatic stress disorder, the therapist directs the client to confront both trauma-related objects or situations and painful memories of the trauma. this therapist is practicing: What kind of transformation converts the graph of f(x)=3x+9 into the graph of g(x)=3x10? During the assessment of a patient with a brain abscess, the nurse notes elevated blood pressure and altered level of consciousness. Which additional symptoms should the nurse assess for?. Is it possible to perform two reflections of an object so that the final image is identical to the original image? If so, give an example. If not , explain your reasoning Bobby can work at most 20 hours next week, but she needs to earn at least $150. Herdog-walking job pays her $6 per hour and her iob as a car wash attendant pays her $10 perhour. If d is the number of hours she walks dogs this week and w is the number of hours sheworks at the car wash, write a system of inequalities that represents Bobby's situation. Simplify the following exponent (x x) x x Your phone plan charges you an initial fee, and then a certain amount depending on the amount of data you use. They send you periodic updates of your usage andyour current bill cost. After using 3 GB of data you owe $30. After 5 GB of data, you owe $40. What is the initial fee prior to the data usage charge?A.$15B.$5C.$2.50D.$10