Simplify this equation please
48

Simplify This Equation Please 48

Answers

Answer 1

Answer:

Please look at the attached image, thank you so much! Hope this helps! :D

Step-by-step explanation:

Simplify This Equation Please 48
Answer 2

Answer:

6.92820323028, rounded would be 6.92. Even more rounded would be 7.

Step-by-step explanation:

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Related Questions

someone help me ASAP

I have to find angle 1 and angle 3​

Answers

Answer:

∠1 = 52

∠2 = 128

∠3 = 52

Step-by-step explanation:

∠2 = ∠4 Because of vertical angles

∠1 = ∠3 Because of vertical angles

∠1 + ∠4 = 180 Because of supplementary angles

Here, we are given that ∠4 = 128°

∠4 = ∠2 So ∠2 = 128°

∠1 + ∠4 = 180

∠4 = 128°

∠1 + 128° = 180

==> subtract 128 from both sides

∠1 = 52

∠1 = ∠3

∠1 = 52 meaning that ∠3 = 52

Answer:

m<1 = 52°

m<3 = 52°

m<4 = 128°

Step-by-step explanation:

Given: m<2 = 128°

<1 is supplementary to <2.

m<1 + m<2 = 180°

m<1 + 128° = 180°

m<1 = 52°

Angles 1 and 3 are vertical angles, so they are congruent.

m<3 = 52°

Angles 2 and 4 are vertical angles, so they are congruent.

m<4 = 128°

Find the slope of the line that passes through all of the points
on the table.

Someone help I’ll give Brainliest

Answers

Slope=10
Equation= y=10x+-17
The answer is 10

Hope this helps!

PLEASE HELP ASAP!!!! FULL ANSWERS ONLY!!!!

Blake wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn, so he needs no fence on that side. The other three sides will be enclosed with wire fencing. If Blake has 950 feet of fencing, you can find the dimensions that maximize the area of the enclosure.

a) Let w be the width of the enclosure (perpendicular to the barn) and let l be the length of the enclosure (parallel to the barn). Write a function for the area A of the enclosure in terms of w . (HINT: First write one equation with w and l and one equation with w and l and A. Solve for l in the first equation and substitute for l in the other). A ( w ) = ____________

b) What width w would maximize the area? w = __________________ ft

c) What is the maximum area? A = ______________ square feet

Answers

The maximum width and area of rectangle are 475 feet and 225625 sq. feet respectively.

How we can make the area of rectangle maximum?

Any given rectangle  has ONE region - there is no base or most extreme, simply a region. To find the region of a rectangle  shape, increase the length times the width. For instance, a rectangle  shape 4′ long by 5′ wide will have an area of 20 square feet.

According to question:

We have

l×w = area of rectangle-------------------------(1)

2w + l = 950

l = 950 - 2w

Put the value if l in equation (1)

(950 - 2w) × w = area

This is a quadratic equation for maximum value of w we have of it one zeros is zero

so,

950 - 2w = 0

w = 950/2

W =475 feet

Te

Then length = 950 - 475 =475

Area of rectangle = 475 × 475 = 225625 sq. feet

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Jasmine has 38 crayons. Jasmine has 24 fewer crayons than trinity. How many crayons do they have in all?

Answers

If jasmine has 38 crayons which is 24 fewer than trinity, than trinity has 62. This is because 38+24=62

If you are wanting to find the total crayons both people own than you will want to add the two numbers together. 62+38=100

Answer: they have 100 crayons total

Suppose that the function f is defined, for all real numbers, as follows.

Answers

Answer:

f(-5) = 3f(-2) = -9f(1) = 0

Step-by-step explanation:

You have a piecewise defined function f(x) and you want the values of f(-5), f(-2), and f(1).

The first step in finding the value of a piecewise defined function is to determine the function definition on the domain containing the x-value of interest.

F(-5)

The value x=-5 is in the interval x < -2, so the first part of the function definition applies: f(x) = 3.

  f(-5) = 3

F(-2)

The value x = -2 is in the interval -2 ≤ x ≤ 2, so the second part of the function definition applies: f(x) = -(x -1)².

  f(-2) = -(-2 -1)² = -(-3)²

  f(-2) = -9

F(1)

The value x = 1 is in the interval -2 ≤ x ≤ 2, so the second part of the function definition applies: f(x) = -(x -1)².

  f(1) = -(1 -1)² = -(0)²

  f(1) = 0

At a furniture store, 20% of chairs are blue, 50% orange and 30% black. A blue chair has a 20% probability of being comfortable. A chair that is not blue has a 5% probability of being comfortable. What is the probability that a comfortable chair in the store is blue?

Answers

The probability that a comfortable chair in the store is blue is 4%

How to determine the probability?

From the question, we have the following parameters that can be used in our computation:

Proportion of blue chairs = 20%

Proportion of orange chairs = 50%

Proportion of black chairs = 30%

Comfortable Blue chairs = 20%

Comfortable non-blue chairs = 5%

The required probability is then calculated as

Probability = Proportion of blue chairs x Comfortable Blue chairs

Substitute the known values in the above equation, so, we have the following representation

Probability = 20% * 20%

Evaluate

Probability = 4%

Hence, the probability is 4%

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If f(1)=3and f(n)=f(n-1)-3 then find the value of f(5)

Answers

The required value of f(5) would be 81.

What is the function?

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

We have been given the function below as:

f(n) = f(n-1) - 3   ....(i)

f(1) = 3

To determine the value of f(5)

Substitute the value of n = 2 in the equation (i);

f(2) = - 3f(1) = - 3;

n = 3,

f(3) = - 3f(2) = 9;

n = 4,

f(4) = - 3f(3) = - 27,

n = 5,

f(5) = - 3f(4) = 81

Thus, the required value of f(5) would be 81.

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A man pays a total of 4800 in flat rental for 3 months. Find his monthly rental rate.

Answers

Answer:

The man's monthly rental rate is $1600.

Step-by-step explanation:

To figure out the answer to your question, it says to find how much is monthly rental is. So, we can do this by simply dividing the two numbers:

4800 ÷ 3 = $1600

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What is 3 3/4 ft to yards as a mixed number?

Answers

The value of 3¾ft in yards would be = 1 6/25 yard

What is a mixed number?

A mixed number is the type of number that is made up of three parts such as the whole number, a numerator and a denominator.

To convert to yards;

1 ft = 0.33 yard

3¾ = X yards

make x yards the subject of formula;

X yards = 3¾ × 0.33

X yards = 3.75×0.33

X yards = 1.24 yards

X yards in mixed number= 124/100 = 31/25 = 1 6/25 yard.

Note that the final value which is 124/100 is reduce to the lower figure by dividing through with 4 to arrive at the mixed number 1⁶/25

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Which function is graphed below?

A. f(x) = –cos(x)
B. f(x) = cos(x)
C. f(x) = sin(x)
D. f(x) = –sin(x)

Answers

Answer:a

Step-by-step explanation:

A car uses data to help determine the color of cars to order for this year. The data displays how many cars were sold the previous year. Each dot
represents 10 cars. Use the dot plot to answer the question.


How many cars were sold that were not white?
A 100
B190
C 19
D 25

Answers

The number of cars sold that were not white based on the dot plot is 19

How to determine the number of cars sold that were not white

From the question, we have the following parameters that can be used in our computation:

The dot plot represents the given parameter


From the dot plot, we have the following values represented as follows:

Count of red cars = 5Count of black cars = 8Count of white cars = 6Count of silver cars = 1Count of gray cars = 4Count of blue cars = 1

The above parameters means that the following cars are not white cars

So, we have the following representation

Count of red cars = 5Count of black cars = 8Count of silver cars = 1Count of gray cars = 4Count of blue cars = 1

When these frequencies are added, we have

Total = 5 + 8 + 1 + 4 + 1

Evaluate the sum

Total = 19

Hence, the number of cars is 19

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Convert the numeral to a numeral in base ten
24^five

Answers

Answer:

14 base 10

Step-by-step explanation:

Remember what the digits mean in the base 10 system we use.

For example, the number 539 (base 10) means:

The 5 in the hundreds place means 5 × 100 = 500.

The 3 in the tens place means 3 × 10 = 30.

The 9 in the ones place means 9 × 1 = 9.

The number 539 means

5 × 100 + 3 × 10 + 9 × 1 = 500 + 30 + 9 = 539

Also keep in mind one more thing. The ones digit means the number of ones. 1 = 10^0. The number in the ones digit means the number if 10^0 you have.

The ten digits is the digit of 10^1.

The hundreds digit is the digit of 10^2 since 10^2 = 100.

In other words, the ones digit is the number of 10^0 you have.

The tens digit is the number of 10^1 you have.

The hundreds digit is the number of 10^2 you have.

Now let's look at base 5.

Here, each place to the left is a successively higher power of 5 instead of a power of 10.

Think of the number 432 base 5.

The 2 is in the units place. it represents the number of 5^0 or ones you have. In this case, it is 2 × 5^0 = 2 × 1 = 2

The 3 is in the 5^1 place. It represents the number of fives you have.

3 × 5 = 15

The 4 is in the 5^2 place. It represents the number of 25's you have.

4 × 25 = 100

The number 432 base 5 means:

4 × 5^2 + 3 × 5^1 + 2 × 5^0

= 4 × 25 + 3 × 5 + 2 × 1

= 100 + 15 + 2

= 117 base 10

In other words, 432 base 5 = 117 base 10.

Now we do the same with your number, 24 base 5.

24 base 5 =

= 2 × 5^1 + 4 × 5^0

= 2 × 5 + 4 × 1

= 10 + 4

= 14

One poster has a width of x + 5 inches, and
the other has a width of x + 3 inches. Write an
expression to represent the area of wall that the
posters will cover.

Answers

The area that represent the wall the poster will cover is as follows:

x² + 10x + 25x² + 6x + 9

What is area?

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Therefore, One poster has a width of x + 5 inches, and the other has a width of x + 3 inches.

The expression  to represent the area of wall that the posters will cover can be calculated as follows:

area = w²

area of the first poster = (x + 5)² = (x + 5)(x + 5) = x² + 5x + 5x + 25 = x² + 10x + 25

area of the second poster = (x + 3)² = (x +3)(x + 3) = x² + 3x + 3x + 9 = x² + 6x + 9

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which of the following rational functions is graphed below? A. F(x)=(x+2)/(x-2) B. F(x)=(x-1)/x(x-2) C. F(x)= (x+2)/(x+1) D. F(x)= (x+1)/(x+2)(x-2)

Answers

Answer:

[tex]C. \; \dfrac{x+2}{x+1}[/tex]

Step-by-step explanation:

Since the vertical asymptotes are at x = -1

This means the denominator must have x + 1 in it

The only expression is the one in choice C

20 POINTS will give brainliest
Find the missing number so that the equation has no solutions




–2x + 11 = x + 21 + __x

a 5
b 2
c -2
d -3

Answers

Answer: d -3

Step-by-step explanation:

The answer I got was 11 = 21, which does not make sense

–2x + 11 = x + 21 + (-3)x

+3x                         +3x

x + 11 = x + 21

-x        -x

11 = 21

Answer:

-3

Step-by-step explanation:

Graph the linear function: f(x)=-2(x+4)

This is high school level math

Algebra:1

PLEASE HELP ME. I DONT UNDERSTAND WHAT IM SUPPOSED TO DO!

Please provide an explanation on how you got your answer. Thank you!​

Answers

Answer:

Step-by-step explanation:

f(x) =-2 (x+4)

f(x)=2

x+4

20 + 0.44x + 4 = 19 + 1.69x. please show how you got it

Answers

Answer: x =4

Step-by-step explanation: The solution of the given equation 24 + 0.44x = 19 + 1.69x will be x = 4 thus option (A) will be correct.

What is the equation?

There are many different ways to define an equation.

More than one variable may be present inside a linear equation.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

As per the given equation,

24 + 0.44x = 19 + 1.69x

24 - 19 = 1.69x - 0.44x

5 = 1.25x

x = 4

Hence "The solution of the given equation 24 + 0.44x = 19 + 1.69x will be x = 4".

A triangle ABC. If a = 100 inches, b = 60 inches, and C= 60°, Find c.
Use the low of cosines

Answers

[tex]\textit{Law of Cosines}\\\\ c^2 = a^2+b^2-(2ab)\cos(C)\implies c = \sqrt{a^2+b^2-(2ab)\cos(C)} \\\\[-0.35em] ~\dotfill\\\\ c = \sqrt{100^2+60^2~-~2(100)(60)\cos(60^o)} \implies c = \sqrt{ 13600 - 12000 \cos(60^o) } \\\\\\ c = \sqrt{ 13600 - 12000 \cdot \frac{1}{2} }\implies c=\sqrt{7600}\implies c=20\sqrt{19}\implies c\approx 87.18[/tex]

() Eva left the house at 11:28 A.M. She went to the post office, returned books to the
library, and bought groceries at the store. She returned home at 12:19 P.M. How long was
she running errands?

Answers

Eva takes 51 errands (mins) to return home.

What do you mean by errands and give example ?

A short trip either to take a message or to take or collect something.

For example , I'll meet you at six, I have some errands to do/run first.

Given that :

Eva left the house at 11.28 am

Returned house at 12.19 pm

From the given information, we can conclude that how long was

she running errands

 11.28 am - 12.00 pm = 32 mins

 12.00 pm - 12.19 pm = 19 mins

                       Totally = 51 mins

Therefore, Eva takes 51 errands to return home.

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NO LINKS!! Based on each graph below, find the equation of the exponential function y= ab^x​

Answers

Answer:

[tex]\textsf{a)} \quad y=3\left(\dfrac{5}{3}\right)^x[/tex]

[tex]\textsf{b)} \quad y=40\left(\dfrac{1}{3}\right)^x[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{9 cm}\underline{General form of an Exponential Function}\\\\$y=ab^x$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the initial value ($y$-intercept). \\ \phantom{ww}$\bullet$ $b$ is the base (growth/decay factor) in decimal form.\\\end{minipage}}[/tex]

Question (a)

From inspection of the diagram, two points on the graph are:

(0, 3)(1, 5)

The y-intercept is the y-value when x = 0.

As a is the y-intercept, and the y-intercept is 3:

[tex]\implies y=3 \cdot b^x[/tex]

Substitute point (1, 5) into the equation and solve for b:

[tex]\begin{aligned}(1,5) \implies 5&=3 \cdot b^1\\5&=3b\\b&=\dfrac{5}{3}\end{aligned}[/tex]

Therefore, the equation of the exponential function is:

[tex]y=3\left(\dfrac{5}{3}\right)^x[/tex]

Question (b)

From inspection of the diagram, two points on the graph are:

(0, 40)(-1, 120)

The y-intercept is the y-value when x = 0.

As a is the y-intercept, and the y-intercept is 40:

[tex]\implies y=40 \cdot b^x[/tex]

Substitute point (-1, 120) into the equation and solve for b:

[tex]\begin{aligned}(-1,120) \implies 120&=40 \cdot b^{-1}\\\dfrac{120}{40}&=\dfrac{1}{b}\\b&=\dfrac{40}{120}\\ b&=\dfrac{1}{3}\end{aligned}[/tex]

Therefore, the equation of the exponential function is:

[tex]y=40\left(\dfrac{1}{3}\right)^x[/tex]

A kindergarten teacher has five books to distribute to 20 children in her class.

(a)
How many ways are there for her to distribute the books if they are all the same and no child gets more than one?
(b)
How many ways are there for her to distribute the books if they are different and no child gets more than one? If Charlie gets Green Eggs and Ham and Amanda gets The Cat in the Hat, that is a different distribution from one in which Amanda gets Green Eggs and Ham and Charlie gets The Cat in the Hat.
(c)
How many ways are there for her to distribute the books if they are all the same and there is no restriction on the number of books that can be given to any child?

Answers

Answer:

(a) There are 20 ways for her to distribute the books if they are all the same and no child gets more than one. Each of the 20 children can receive one of the five books.

(b) There are 100 ways for her to distribute the books if they are different and no child gets more than one. Each of the 20 children can receive one of the five different books, so there are 5x4x3x2x1 = 100 possible ways for her to distribute the books.

(c) There are 3,628,800 ways for her to distribute the books if they are all the same and there is no restriction on the number of books that can be given to any child. This is because each child can receive any number of books from 0 to 5. Therefore, there are 6x6x6x6x6 = 6^5 = 3,628,800 possible ways for her to distribute the books.

Step-by-step explanation:

please help me! i have a test rn and i am struggling. please send answer ASAP!!

Find an equation for line l,m,n,p

Answers

The linear functions in this problem are given as follows:

Line l: y = 4.Line m: y = -2x + 4.Line n: y = x - 1.Line p: x = -4.

How to define the linear functions?

First we define the horizontal line l, given as follows:

l: y = 4.

(as no matter the value of x, the output variable assumes a value of 4).

Then the vertical line p is defined as follows:

p: x = -4.

(as no matter the value of the output y, the input variable x assumes a value of -4).

For the remaining two lines, they are defined in the slope-intercept format, as follows:

y = mx + b.

In which the coefficients are given as follows:

m is the slope, representing by how much y changes when x is increased by one.b is the y-intercept, representing the value of y when the function crosses the x-axis, that is, when x = 0.

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. The electricity cost y, in dollars, to use a
hair dryer for x minutes can be represented
by the equation y = 0.002x. The electricity
cost to use a space heater is shown on the
graph. Which appliance is more expensive
to use? Explain. (Example 4)
Space Heater
0.09
0.08
0.07
0.06
0.05
0.04
0.03
0.02
0.01
0
Electricity Cost ($)
y
123456789
Time (min)
X

Answers

Answer:

D)The space heater, because it has the greater unit rate for electricity cost.

Step-by-step explanation:

I DID IT AND GOT IT RIGHT!

1)What value of b will complete the square in the expression below and make the expression a perfect square trinomial? X^2+bx+16/49




2) Enter the perfect square trinomial as a squared binomial.

Answers

The value of b in x²+ bx + 16/49 is 8/7 and the squared binomial is (x + 4/7)²

How to determine the value of b?

From the question, we have the following parameters that can be used in our computation:

X^2+bx+16/49

Rewrite properly

So, we have the following representation

x²+ bx + 16/49

When represented as a square, we have

x²+ bx + 16/49 = (x + a)²

Expand the bracket

So, we have the following representation

x²+ bx + 16/49 = x² + 2ax + a²

By comparison, we have

bx = 2ax

a² = 16/49

Take the square root of both sides

a = 4/7

Substitute a = 4/7 in bx = 2ax

bx = 2 * 4/7x

So, we have

b = 2 * 4/7

Evaluate

b = 8/7

The squared binomial

In (a), we have

x²+ bx + 16/49 = (x + a)²

Where

a = 4/7

So, we have

x²+ bx + 16/49 = (x + 4/7)²

Hence, the binomial is (x + 4/7)²

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Answer:

[tex]\textsf{1)} \quad b = \dfrac{8}{7}[/tex]

[tex]\textsf{2)} \quad \left(x+\dfrac{4}{7}\right)^2[/tex]

Step-by-step explanation:

Perfect Square Trinomial

A trinomial that can be written as the square of a binomial.

For example the perfect trinomial  x²+2dx+d² can be written  as (x+d)².

Given trinomial:

[tex]x^2+bx+\dfrac{16}{49}[/tex]

To express the given trinomial as a perfect square trinomial, determine the value of b.

As the coefficient of the x² term is one, b equals twice the square root of the constant of the trinomial:

[tex]\implies b = 2 \sqrt{\dfrac{16}{49}}[/tex]

[tex]\implies b = 2 \cdot \dfrac{4}{7}[/tex]

[tex]\implies b = \dfrac{8}{7}[/tex]

Therefore, the perfect square trinomial is:

[tex]x^2+\dfrac{8}{7}x+\dfrac{16}{49}[/tex]

To factor in the form of a squared binomial (x + d)², d is half the value of b:

[tex]\implies d = \dfrac{1}{2}b[/tex]

[tex]\implies d = \dfrac{1}{2} \cdot \dfrac{8}{7}[/tex]

[tex]\implies d=\dfrac{8}{14}[/tex]

[tex]\implies d=\dfrac{4}{7}[/tex]

Therefore, the perfect square trinomial as a squared binomial is:[tex]\implies \left(x+\dfrac{4}{7}\right)^2[/tex]

Descartes sees 18 oranges on the tree and 13 on the ground.
Newton sees 6 on the ground. Descartes and Newton see the
same amount of oranges. How many oranges does Newton
see on the tree?

Answers

18 + 13 = 6 + t

31 = 6 + t

Subtract 6 from both sides

25 = amount of oranges Newton sees on the tree

of the car was marked as $14,000.
The price
The end of the month sale has
lowered the price to $12,500. What is the percent decrease to the nearest
percent?

Answers

Answer: the percent decrease is 9%

Step-by-step explanation:

Formula :12500/14000x100% and this formula can use in any of question likes this

What is the value of the expression below when x=7x=7? x^2+9x-10

Answers

Answer:

Step-by-step explanation:

There is a proportional relationship between the weight and total cost of a bag of cherries. One bag weighs 2.1 pounds and costs $7.98. Another bag weighs 2.8 pounds and costs $10.64.

Describe how you would graph the proportional relationship.

PLEASE HELPPP, I got like three different answers

Answers

Answer:

y = 3.8x

Step-by-step explanation:

Let y = the cost of the cherries

Let x = pounds of cherries

We can find the unit rate by either:

[tex]\frac{7.98}{2.1}[/tex] =  $3.80 per pound

or

[tex]\frac{10.64}{2.8}[/tex] = $3.80 per pound

Now we can write the equation

hy = 3.8x

Consider the function y = -2x + 1 what is the slope (m)? What is the y intercept (b)? Make a quick graph for the equation

Answers

Answer:

Step-by-step explanation:

Start with the slope intercept equation: y=mx+b

y=-2x+1

m=-2 and b=1

Now draw a graph on your paper, place a point at +1 on the Y axis.

Next, solve for y with x=1.

y=-2(1)+1

y=-2+1

y=-1

Now graph (1,-1)

Find the missing ange:




RPQ:______

Answers

pie = mc square……………….

The value of angle RPQ in the circle is 115°.

What is intersecting chords' theorem?

The products of the measurements of the segments of two chords are equal if they intersect in a circle.

When two chords intersect inside a circle, the resulting angle's measure is equal to the product of the lengths of the arcs it intercepts and its vertical angle, divided by two.

Therefore,

∠RPQ = 1  / 2 (arc angle RQ + arc angle SA)

arc angle RQ = 175°

arc angle SA = 55°

Hence,

∠RPQ  = 1 / 2 (175 + 55)

∠RPQ  = 1 / 2 (230)

∠RPQ  = 115°.

Therefore, the angle is 115°.

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Schools, roads, railroads, hospitals, retail outlets, recreational and cultural opportunities,social services and the entire framework of support services and amenities in a city or region isknown as itsinfrastructure if the nominal interest rate is 8 percent and rate of inflation is 5.5 percent, then the real interest rate is why do Fitzgerald have Nick say "that was really, or at least legal, his name"? why would fitzgerald use the juxtaposition of those two words? Write an inequality and use substitution to solve the following problem:Janet plans on mowing lawns for 12 weeks in the summer. Her goal for the summer is to earn more than $500. Which of the following rates of weekly earning would allow her to reach her goal? which theory of morality emphasizes the distinction between individuals' ability to perform moral behavior and actual moral behavior in specific situations? If marketing attains its goal at the expense of rising production costs for the manufacturing department, the end result of marketing's achievements and manufacturing's cost increases reflectsB) suboptimization. What is the progression and transformation of information from the pinna onwards to the primary auditory cortex (i.e. outer, middle, inner ear (w/ details) to n. VIII to Cochlear nucleus (dorsal & ventral), superior olivary nucleus, inferior colliculus, medial geniculate nucleus to A1)Pinna (auricle) --> external auditory canal --> eardrum/timpanic membrane --> hammer --> anvil --> stapes/stirrup --> oval window --> cochlea --> hair cell receptors --> auditory part of the vestibulocochlear 8th cranial nerve --> dorsal and ventral cochlear nucleus (90k neurons) --> ipsilateral and contralateral olivary nucleus --> inferior colliculus --> medial geniculate nucleus --> right and left auditory cortices Please help with this question. Will give brainliest eukaryotic cells contain which of the following? question 5 options: ribosomes nucleus endoplasmic reticulum all of the above . a patient with obstructive sleep apnea (osa) is being discharged. what patient statement indicates the need for further teaching? which theorem states that exchange rates will adjust until the prices of goods in different countries approximate one another? Approximately one out of every 2,500 caucasians in the united states is born with the recessive disease cystic fibrosis. According to the hardy-weinberg equilibrium equation, approximately how many people are carriers?. After the War of 1812, President James Monroe promised to make sure thatthe United States:OA. remained neutral in all conflicts between other countries.B. remained the strongest country in the Americas.C. would expand to reach the coast of the Pacific Ocean.D. would never be challenged by Great Britain again. ohnny is a sophomore in college and has a 1.5 cumulative grade point average (gpa). johnny's cumulative gpa will fall even further next semester if he performs worse than (i) his cumulative gpa. (ii) he ever performed before. (iii) he did last semester. if you were a lay witness at a previous trial, you shouldn't list that case in your written report. true or false? gus and molly have been married for 35 years. they feel no passion and share few feelings. sternberg would say that they have which type of love? which of these health issues may be caused by sleep deficency?A.lung diseaseB.allergiesC.cancerD.obesity Please help me with this 2 problems Compared to the particles in a hardened lava sample the particles in a liquid lava sample. Which of these might cause the value of inventory to fall below its original cost? (Check all that apply.)a. decrease in gross profitb. damagec. increased competitiond. obsolescence