Use natural logarithms to solve the equation. Round to the nearest thousandth.
3e^2x+2=28
A. 1.0797
B. 0.4689
C. 0.9261
D. 2.1595

Answers

Answer 1
Bro it’s C i just took this test lol
Answer 2

Answer:

A. 1.0797

Step-by-step explanation:

Given the equation,

3e^2x+2=28

To solve for x, first we move 2 to the other side of the equation.

3e^2x = 28-2

3e^2x = 26

Dividing both sides by 3

e^2x = 26/3

e^2x = 8.67

Taking the natural logarithm if both sides

ln(e^2x) = ln8.67

2x = ln8.667

2x = 2.1595

x = 2.1595/2

x = 1.0797


Related Questions

can someone help me with this im having a hard time​

Answers

Answer:

-1/2

Step-by-step explanation:

Add 12 to both sides 8b=-4

Divide by 8 on both sides b=-4/8

Simplify b=-1/2

Answer:

B=-1/2

Step-by-step explanation:

8b-12=-16

fit’s you wanna try and get the variable on its own

8b-12=-16

8b=-4

b=-1/2

chris bought a cup of hot chocolate does his cup probably hold 400 liters or 400 milliliters of hot chocolate

Answers

Answer:

Millileters

Step-by-step explanation:

If it held 400 liters, it would be a pretty gigantic cup

Answer:

400 millieters

Step-by-step explanation:

because a cup is measured in milliters

Question 1) DoorDash charges a fee of $4.25 to deliver food from a local restaurant and $1.35 per mile. Your meal costs $10.47 before
delivery
Which of the following inequalities can be used to find the maximum number of miles, m, the delivery driver can travel so
that you spend no more than $30?
be
A
m
(10.47 +4.25 +1.35) > 30
arbel
B
10.47 +4.25m + 1.35m<30
°C 10.47 +4.25 + 1.35m 2 30
OD 10.47 +4.25 +1.35m 530

Answers

Answer:C

Step-by-step explanation: fixed cost = 10.47+4.25

Variable cost =1.35m

Total cost= 10.47+4.25+1.35m<=30

Answer:

Option C 10.47 +4.25 + 1.35m 2 30

Step-by-step explanation:

Data:

DoorDash charges a fee of =  $4.25

Fee per mile = $ 1.35

Cost of a meal = $ 10.47

The maximum number of miles is given by:

10.47 + 4.25  + 4.25 < 30

Therefore, option C is correct.


Required that there must be chaperones for every 25 how many chaperones must there be for 80 students

Answers

Answer:

6 chaperones on 80 students.

Step-by-step explanation:

Here is the complete question: School guideline required that there must be 2 chaperones for every 25 students on a school trip. how many chaperones must there be for 80 students?

Given: There must be 2 chaperones on every 25 students.

       

Now, we will use unitary method to solve.

We know 2 chaperones = 25 students

∴ one student required [tex]\frac{2}{25}\ chaperones[/tex]

Next for 80 students, we require= [tex]\frac{2}{25} \times 80 = \frac{160}{25}[/tex]

For 80 students, we require [tex]6.4 \ chaperones[/tex], however, we cannot use decimal for number of person, so we can round off the number to 6 chaperones on every 80 students.

Zoey is 362 meters below sea level while visiting a part of Israel. She descends 71 meters to visit the Dead Sea. Which integer represents the elevation, in meters, of the Dead Sea?

Answers

In the beginning, 362 meters below sea level, or -362 meters (if we consider sea level as 0).

Because the Dead Sea is 71 meters below where she was, the equation to solve this would be

-362 - 71 = -433

The answer is -433.

Hope this helps!

Since Zoey is 362 meters below sea level while visiting a part of Israel and she descends 71 meters to visit the Dead Sea, the integer that represents the elevation, in meters, of the Dead Sea is a) -433.

How the elevation is computed:

We can use the mathematical operation of subtraction to determine the elevation of the Dead Sea as follows:

The present elevation of Zoey = -362 meters

The descent that she makes to visit the Dead Sea = -71 meters

The elevation of the Dead Sea = -433 (-362 - 71).

Learn more about subtraction and elevation at https://brainly.com/question/12213332.

#SPJ3

Complete Question:

Zoey is 362 meters below sea level while visiting a part of Israel. She descends 71 meters to visit the Dead Sea. Which integer represents the elevation, in meters, of the Dead Sea?

a) -433

b) -391

c) -311

d) -291

solve each proportion using cross product property

Answers

Using the cross product property on this proportion gives us the following equation:

6 (3x + 3) = 7 (x + 16)

Use the distributive property

18x + 18 = 7x + 112

Subtract both sides by 7x

11x + 18 = 112

Subtract both sides by 18

11x = 94

Divide both sides by 11

x = 94/11

This fraction is already fully simplified and cannot be simplified further. This should be your answer.

Let me know if you need any clarifications, thanks!

Answer:

Step-by-step explanation:

6(3x+3) = 7(x+16)

18x+18=7x+112

-7 on both sides

11x+18=112

-18 on both sides

11x/11 = 94/11

x=8.5

What is the remainder when 4x^3+2x^2-18+38/x-3

Answers

Answer:

  110

Step-by-step explanation:

You want the remainder from the division ...

  [tex]\dfrac{4x^3+2x^2-18x+38}{x-3}[/tex]

Remainder

The remainder theorem tells you the remainder of ...

  f(x)/(x -a)

is f(a).

We can compute f(a) directly, or we can do it using synthetic division. The attachment shows the synthetic division approach.

If we want to evaluate f(x), it is convenient to write it in Horner Form:

  f(x) = 4x³ +2x² -18x +38 = ((4x +2)x -18)x +38

Then, for x = 3, this is ...

  ((4·3 +2)·3 -18)·3 +38 = (14·3 -18)·3 +38 = 24·3 +38 = 110

The remainder from the division is 110.

Hans is at the observatory of the Empire State Building in New York City. The observatory is on the 86th floor of the building. Hans will take the elevator down from the 86th floor to the first floor, a distance of 320 meters. If the ride takes 50 seconds to descend, what is the rate of descent in meters per second?

Answers

Answer:

6.4 meters per second

Step-by-step explanation:

Rate of Change

If two variables x and t are to be related as the rate x changes when t changes, it can be expressed as:

[tex]\displaystyle v=\frac{x}{t}[/tex]

Hans takes a ride in the elevator down from the 86th floor to the first floor, a distance of x=320 meters in t=50 seconds. The rate of descent is

[tex]\displaystyle v=\frac{320}{50}[/tex]

[tex]v=6.4\ m/s[/tex]

Law of cosines.Anyone good in Trigonometry?​

Answers

Answer:

[tex]c=11.8\ units[/tex]

Step-by-step explanation:

we know that

The formula of law of cosines is equal to

[tex]c^2=a^2+b^2-2(a)(b)cos(C)[/tex]

where

a, b and c are sides. C is the angle opposite side c

In this problem we have

[tex]a=3\ units\\b=10\ units[/tex]

[tex]C=120^o[/tex]

substitute the given values

[tex]c^2=3^2+10^2-2(3)(10)cos(120^o)[/tex]

[tex]c^2=109-(60)cos(120^o)[/tex]

[tex]c^2=109-(60)(-0.5))[/tex]

[tex]c^2=109+30[/tex]

[tex]c^2=139[/tex]

[tex]c=11.8\ units[/tex]

Karina read a total of 20 2/4 pages in her science and social studies books combined she read 12 3/4 pages in her science book how many pages did she read in her social studies book

Answers

Answer:

8 1/4

Step-by-step explanation:

20 2/4

-

12 3/4

__________

8 1/4

7 1/4

You subtract 20 and 2/4 by 12 3/4 and you get 8 1/4

Find the value of x in each of the given figures.

Answers

Answer:

Step-by-step explanation:

1) Given figure is a parallelogram

Area = 144 cm²

base  * altitude = 144

16 * x = 144

x =144/16

x = 9 cm

2)2) Trapezium

Area = [tex]\frac{a+b}{2}*h[/tex]      ; {a and b are parallel sides of trapezium}

( 37 +27 /2) * x  = 480 cm²

64/2 * h = 480

32 *  h = 480

h = 480/32

h = 15 cm

What is the domain of the function f(x)=2/5 sqrt x

Answers

Final answer:

The domain of the function f(x) = (2/5) * sqrt(x) is all real numbers x ≥ 0, or in interval notation, [0, ∞). This is because square roots are only defined for non-negative real numbers.

Explanation:

The domain of a function refers to all possible values that can be input into the function, usually represented by 'x'. For the given function f(x) =  \frac{2}{5} \sqrt{x}, we need to determine the set of x-values for which the function is defined. Since we cannot take the square root of a negative number in the set of real numbers, the smallest value for 'x' must be 0. Thus, the domain of the function f(x) = \frac{2}{5} \sqrt{x} includes all real numbers greater than or equal to 0.

This is written mathematically as “x ≥ 0” or in interval notation as [0, ∞). It's important to note that, for real numbers, square roots are only defined for non-negative values, which is why the domain starts at 0 and continues to positive infinity.

6. Solve the equation. Then check your solution. -5d + 10 = 2d - 25

Answers

Answer:

d=5

Step-by-step explanation:

-5d+10=2d-25

-5d-2d=-25-10

-7d=-35

7d=35

d=35/7

d=5

In ΔQRS, RS = 19, SQ = 20, and QR = 18. Which statement about the angles of ΔQRS must be true?​

Answers

Triangle with sides RS=19, SQ = 20, AND QR = 18 must have unequal angles as triangles with unequal sides have unequal angles.

A triangle with unequal sides is known as the Scalene triangle. As mentioned in the question triangle QRS has unequal sides of length RS = 19, SQ = 20, and QR = 18.

Then we can say that triangle Δ QRS is a Scalene triangle.

A scalene triangle has unequal angles. It has no line of symmetry present in a  scalene triangle.

In a scalene triangle, the angle opposite to the longest side is the greatest.

Hence, we can say that the angles of  Δ QRS are unequal.

For more details about Triangles,

https://brainly.com/question/17335144

The correct statement is that at least two angles of ΔQRS are equal, and one angle is different.

Here,

In a triangle, the sum of the measures of the three interior angles is always 180 degrees.

This is known as the triangle angle sum property.

Therefore, if we know the lengths of two sides of a triangle, you can determine the measure of the third angle using the Law of Cosines or the Law of Sines.

In the case of ΔQRS, we can use the Law of Cosines to find the measure of angle ∠Q:

Cos(∠Q) = (RS² + QR² - SQ²) / (2 * RS * QR)

Cos(∠Q) = (19² + 18² - 20²) / (2 * 19 * 18)

Cos(∠Q) = (361 + 324 - 400) / (2 * 19 * 18)

Cos(∠Q) = 285 / 684

Cos(∠Q) ≈ 0.416667

Now, to find the measure of ∠Q, we take the inverse cosine (arccos) of 0.416667:

∠Q ≈ arccos(0.416667) ≈ 65.392°

Now that we know the measure of ∠Q, we can find the measures of the other angles:

∠R = 180° - ∠Q - ∠S

∠R = 180° - 65.392° - ∠S

And

∠S = 180° - ∠Q - ∠R

∠S = 180° - 65.392° - (180° - 65.392° - ∠S)

∠S = 180° - 65.392° - 180° + 65.392° + ∠S

∠S = 2 * 65.392° - ∠S

2 * ∠S = 2 * 65.392°

∠S = 65.392°

So, the measures of the angles in ΔQRS are approximately:

∠Q ≈ 65.392°

∠R ≈ 49.608°

∠S ≈ 65.392°

As we can see, two of the angles (∠Q and ∠S) are equal, while the third angle (∠R) is different.

Therefore, the correct statement is that at least two angles of ΔQRS are equal, and one angle is different.

To learn more on triangle click:

brainly.com/question/29126067

#SPJ4

Solve (-7/3)x - 3 = -52

Answers

Answer: x = 21

Step-by-step explanation:

look at the picture

115 On a coordinate plane, draw triangle ABC with vertices
A(-1, -1), B(3, -1), and C(-1, 2). Find the area of the triangle
in square units.

Answers

Plotted the triangle... I’m presuming |-| is 1cm
So to find the area u plot the coordinates on a graph then work out the length then 1/2 the base the times the height which gives u 6cm^2

Final answer:

The area of triangle ABC with vertices A(-1, -1), B(3, -1), and C(-1, 2) is calculated using the determinant method and results in 6 square units.

Explanation:

To find the area of a triangle with vertices on a coordinate plane, you can use the formula that requires knowing the coordinates of all three vertices.

For triangle ABC with vertices A(-1, -1), B(3, -1), and C(-1, 2), we can use the determinant method:

The area of triangle ABC is ½ |x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)|. Substituting our given coordinates into this formula, we get:

Area = ½ |(-1)(-1 - 2) + 3(2 - (-1)) + (-1)((-1) - (-1))|

Area = ½ |(-1)(-3) + 3(3) + (-1)(0)|

Area = ½ |3 + 9 + 0|

Area = ½ × 12

Area = 6 square units

The area of triangle ABC is therefore 6 square units.

please help me solve step by step it's urgent​

Answers

Answer:

2i: 169.71

2ii: 0.17L

3a: 4×10⁻⁵

3b: 110011

Step-by-step explanation:

2i. The surface of the top and bottom of the tin is two times (top and bottom) π·r² = 2·π·3² = 18π cm².

The circumference of the circle is 2·π·r = 6π cm².

The area of the material connecting top and bottom is a rectangle of the tin height times the circumference: 6·6π = 36π cm².

This gives a total of  18π + 36π = 54π  cm².

With π approximated by 22/7 the total surface area is 54*22/7 ≈ 169.71.

Notice how the calculation is simple by waiting until the very last moment to substitute π.

2ii. The volume is the area π·r² of the circle times the height of the tin: 9π*6 = 54π cm³ ≈ 169.71 cm³.

Since 1L = 1000 cm³ the volume is 0.16971 litres, which should be rounded to 0.17 L.

3a: If we rewrite P as 36 x 10⁻⁴ and realize that 36/2.25 = 16, then the fraction can be written as

16 x 10⁻⁴⁻⁶ = 16 x 10⁻¹⁰.

The square root of that is taking it to the power of 1/2, so (16x10⁻¹⁰)^0.5 = 4x10⁻⁵ = 0.00004

3b: 1111 1111 is 255 in decimal. 101 is 5 in decimal. 255/5 is 51 in decimal. 51 in binary is 110011.

There are (42)3 ⋅ 40 horses on a stud farm. What is the total number of horses on the farm?

Answers

Answer:

5040

Step-by-step explanation:

When a number is in the Parenthesis that means you multiply. First you do 42*3 The answer would be 126. Since there is another Multiplication sign you just plug in your quotient (answer) into the problem. Now the equation is 126*40. 126*40=5040

Answer:

4^6

Step-by-step explanation:

What is an equation of the line that passes through the point (-2, 1) and is parallel to the line whose equation is 4x-2y=8?

Answers

The equation of the line is y = 2x+ 5.

1. Identify the slope:

Lines are considered parallel if they have the same slope.

To find the slope of the given line, we can rearrange the equation 4x-2y=8 to slope-intercept form (y = mx + b) by isolating y: y = 2x - 4.

Therefore, the slope of both the given line and the parallel line we want to find is 2.

2. Use the point-slope form:

We can use the point-slope form of the equation to create the equation of the new line: y - y₁ = m(x - x₁)

Substituting the known point (-2, 1) and the slope (2): y - 1 = 2(x - (-2))

Simplifying the equation: y - 1 = 2x - 4

Combining like terms: y = 2x + 5

Therefore, the equation of the line that passes through (-2, 1) and is parallel to the line 4x-2y=8 is y = 2x + 5.

Final answer:

To find a parallel line to 4x-2y=8 that passes through (-2, 1), we determine the slope of the given line (which is 2) and use point-slope form to write the equation of the new line, resulting in y = 2x + 5.

Explanation:

The student is asking for the equation of a line that passes through a specified point and is parallel to a given line. The equation of the existing line is 4x-2y=8. To find a parallel line, we must have the same slope. First, let's find the slope of the given line by rewriting its equation in slope-intercept form (y=mx+b), where m is the slope and b is the y-intercept. The original equation is 4x - 2y = 8, which can be rewritten as y=2x-4. Thus, the slope is 2.

Since the new line must be parallel, it will also have a slope of 2. Using the point-slope form of a line, which is y - y1 = m(x - x1), where (x1,y1) is the point the line passes through, we substitute the point (-2,1) and the slope of 2 to get the equation y - 1 = 2(x + 2). Simplifying this, we get y = 2x + 5 as the equation for the line that is parallel to 4x-2y=8 and passes through the point (-2, 1).

Evaluate (24 + 2y) + (7y), if y=4

Answers

(24 + 2y) + (7y)

(24 +  8) + 28

32 + 28

60

Answer:

60

Step-by-step explanation:

(24 + 2y) + (7y)

(24 + 2 x 4) + (7 x 4)

(24 + 8) + (28)

32 + 28 = 60

Consider the formula W=Fd, where
• W represents work
• F represents force and has units of Newtonsand
•D represents distance and has units of meters (m),
Select an appropriate measurement unit for work.
Plz look at pic​

Answers

Answer:

Option B [tex]\frac{Kg*m^2}{s^2}[/tex]

Step-by-step explanation:

we know that

The formula to calculate the work is equal to

[tex]W=Fd[/tex]

where

W represents work

F represents force

d represents distance

The units are

[tex]F=(\frac{Kg*m}{s^2})[/tex] ---> Newtons

[tex]d=m[/tex] ---> meters

substitute the units in the formula

Remember that when multiply exponents with the same base, adds the exponents and maintain the same base

[tex](m)(m)=m^{1+1}=m^2[/tex]

so

[tex]W=(\frac{Kg*m}{s^2})(m)=(\frac{Kg*m^2}{s^2})[/tex]

Answer:

B

Step-by-step explanation:

Can someone help me!!!!!!

Answers

Answer:

The value of x is 4, 3rd point.

Step-by-step explanation:

Move all the variables to one side & move unknown value to the other side :

4x - 3 = 2x + 5

4x - 2x = 5 + 3

2x = 8

Then solve it :

2x = 8

x = 8/2

x= 4

Answer:

C. x = 4

Step-by-step explanation:

4x - 3 = 2x + 5

4x - 2x - 3 = 2x - 2x + 5

2x - 3 = 5

2x - 3 + 3 = 5 + 3

2x = 8

(1/2) 2x = 8 (1/2)

x = 4

Cassidy has saved $8,000 this year in an account that earns 9% interest annually. Based on the rule of 72, it will take about years for her savings to double.

Answers

Answer:

The number of years in which saving gets double is 8 years .

Step-by-step explanation:

Given as :

The principal amount saved into the account = p = $8,000

The rate of interest applied = r = 9%

The Amount gets double in n years = $A  

Or, $A = 2 × p = $8,000 × 2 = $16,000

Let the number of years in which saving gets double = n years

Now, From Compound Interest method

Amount = Principal × [tex](1+\dfrac{\textrm rate}{100})^{\textrm time}[/tex]

Or, 2 × p = p × [tex](1+\dfrac{\textrm r}{100})^{\textrm n}[/tex]

Or, $16,000 = $8,000 × [tex](1+\dfrac{\textrm 9}{100})^{\textrm n}[/tex]

Or, [tex]\dfrac{16,000}{8,000}[/tex] = [tex](1.09)^{n}[/tex]

Or, 2 = [tex](1.09)^{n}[/tex]

Now, Taking Log both side

[tex]Log_{10}[/tex]2 = [tex]Log_{10}[/tex] [tex](1.09)^{n}[/tex]

Or, 0.3010 = n × [tex]Log_{10}[/tex]1.09

Or, 0.3010 = n × 0.0374

∴ n = [tex]\dfrac{0.3010}{0.0374}[/tex]

I.e n = 8.04 ≈ 8

So, The number of years = n = 8

Hence, The number of years in which saving gets double is 8 years . Answer

What is 18,157 rounded to the nearest thousand

Answers

Answer:

18,000

Step-by-step explanation:

because its closer to 18,000 then 19,000.

The answer is 18,000.

Which set(s) of points show x in DIRECT PROPORTION to y?
A) {E, C, B} only
B) {G, C, A} only
C) {F, E, D} and {E, C, B} only
D) {F, G, H} and {G, C, A} only

Answers

Answer: OPTION D.

Step-by-step explanation:

For this exercise it is important to remember that:

1.  Direct proportion equations have the following form:

[tex]y=kx[/tex]

Where "k" is the constant of proportionality.

2. The graph of Direct proportions is an straight line that passes through the origin.

Observe the picture attached.

If you join the points G, C and A, you get a straight line that passes through the origin,

If you join the points F, G and H, you also get a straight line that passes through the origin,

Therefore, the sets of points show "x" in Direct proportion to "y", are:

[tex]\{F, G, H\}[/tex] and   [tex]\{{G, C, A}\}[/tex]

Answer:D){F, G, H} and {G, C, A} only

Step-by-step explanation:

when the function p(x) is divided by x - 1 the quotient is x^2 + 7 + 5/x - 1. State P(x) in standard form.

Answers

Answer:

We know that

P(X) = Dividor × Quotient

So dividor = x-1

Quotient = x2 + 7 + 5/x-1

So,

P(x) = x3 - x2 + 7x -2

Step-by-step explanation:

Taking LCM of quotient we will get

(x3 - x2 + 7x - 2)/(x-1)

Now by multiplying the above equation with x-1,

Only thing remaining will be

x3 - x2 + 7x - 2

This is P(x).

Final answer:

The polynomial p(x) in standard form, when given the quotient formed from dividing p(x) by (x - 1), is x^3 - x^2 + 7x - 2.

Explanation:

The function p(x) can be expressed in standard form by multiplying divisor (x - 1) by the quotient, (x^2 + 7 + 5/(x - 1)) according to polynomial division rules. To get p(x), you multiply the quotient by the divisor and add the remainder. However, since there is no remainder mentioned, we assume it's zero and ignore it.

Therefore, p(x) is (x - 1)(x^2 + 7 + 5/(x - 1)). To simplify further, distribute (x - 1) across each term in the parenthesis:

Multiplying (x - 1) by x^2 yields x^3 - x^2. Multiplying (x - 1) by 7 results in 7x - 7. Multiplying (x - 1) by 5/(x - 1), the (x - 1) factors cancel, leaving 5.

So, the polynomial p(x) is x^3 - x^2 + 7x - 7 + 5 or, simplified further, x^3 - x^2 + 7x - 2.

Learn more about Polynomial Function here:

https://brainly.com/question/30474881

#SPJ11

What’s the answer?? Please

Answers

Can’t really see the whole question
Me either I cannot see the whole thing

Sue makes 60 tuna sandwiches for a class outing. She makes 4 sandwiches from each can of tuna. She uses 15 cans of tuna.

How many cans of tuna would Sue need if she made 3 sandwiches from each can?

She would need _____ cans.

Answers

Answer:

20 cans of tuna.

Step-by-step explanation:

4 x 15 = 60

3 x ? = 60

3 x 20 = 60

p ={all even numbers that are less than or equal to 20}​

Answers

2,4,6,8,10,12,14,16,18,20

Answer:

[tex]p =\{\text{all even numbers that are less than or equal to 20}\}\\\\p=\{n|n=2k\ \wedge\ n\leq20\ \wedge\ k\in\mathbb{N}\}=\{0,\ 2,\ 4,\ 6,\ 8,\ 10,\ 12,\ 14,\ 16,\ 18,\ 20\}[/tex]

Four soccer teams compete in a tournament. Each team faced each other exactly once with no ties allowed. A team received 1 point for each win.
The results
Team 1 had 1 point
Team 2 had 3 points
Team 3 had 1 point
How many points did team 4 have?

Answers

Answer:

1 point

Step-by-step explanation:

The number of games in the tournament is:

₄C₂ = 6

Another way to look at it: Team 1 plays 3 games against Team 2, 3, and 4.  Then, Team 2 plays 2 games against Team 3 and 4 (Team 2 already played Team 1).  Finally, Team 3 plays a game against Team 4.  So the total is 3 + 2 + 1 = 6.

If there's a total of 6 games, then there's a total of 6 points.  So if x is the number of points Team 4 has:

x + 1 + 3 + 1 = 6

x + 5 = 6

x = 1

Team 4 has 1 point.

Other Questions
14.Several days after a snowfall, the roofs of some homes on your street have almost no snow on them, while the roofs on other homes are still snow covered. Assuming they have all received the same amount of sunlight, give one reason for this observation related to thermal energy and insulation. Last year, sales at a book store increased from $5,000 to $10,000. This year, sales decreased to $5,000 from $10,000. What percentage did salesIncrease last year? What percentage did sales decrease this year?Sales Increased last year, from $5,000 to $10,000. When sales dropped from $10,000 to $5,000 this year, sales decreased Madrid Company has provided the following data (ignore income taxes):2014 revenues were $77,500.2014 net income was $33,900.Dividends declared and paid during 2014 totaled $5,700.Total assets at December 31, 2014 were $217,000.Total stockholders' equity at December 31, 2014 was $123,000.Retained earnings at December 31, 2014 were $83,000.Which of the following is not correct?A. 2014 expenses were $43,600.B. Total liabilities at December 31, 2014 were $94,000.C. Retained earnings increased $33,900 during 2014.D. Common stock at December 31, 2014 was $40,000. Address the FIXME comments. Move the respective code from the while-loop to the created function. The add_grade function has already been created.# FIXME: Create add_grade functiondef add_grade(student_grades):print('Entering grade. \n')name, grade = input(grade_prompt).split()student_grades[name] = grade# FIXME: Create delete_name function# FIXME: Create print_grades functionstudent_grades = {} # Create an empty dictgrade_prompt = "Enter name and grade (Ex. 'Bob A+'):\n"delete_prompt = "Enter name to delete:\n"menu_prompt = ("1. Add/modify student grade\n""2. Delete student grade\n""3. Print student grades\n""4. Quit\n\n")command = input(menu_prompt).lower().strip()while command != '4': # Exit when user enters '4'if command == '1':add_grade(student_grades)elif command == '2':# FIXME: Only call delete_name() hereprint('Deleting grade.\n')name = input(delete_prompt)del student_grades[name]elif command == '3':# FIXME: Only call print_grades() hereprint('Printing grades.\n') for name, grade in student_grades.items(): print(name, 'has a', grade) else: print('Unrecognized command.\n') command = input().lower().strip() The electron cloud of HF is smaller than that of F2, however, HF has a much higher boiling point than F2 has. Which of the following explains how the dispersion-force model of intermolecular attraction does not account for the unusually high boiling point of HF?A. F2 is soluble in water, whereas HF is insoluble in water.B. The F2 molecule has a greater mass than the HF molecule has.C. Liquid F2 has weak dispersion force attractions between its molecules, whereas liquid HF has strong ionic interactions between H+ and F- ions.D. Liquid F2 has weak dispersion force attractions between its molecules, whereas liquid HF has both weak dispersion force attractions and hydrogen bonding interactions between its molecules. In eastern gray squirrels, Sciurus carolinensis, the allele for black fur (B) is dominant to the allele for gray fur (b). In a particular population of gray squirrels, 64% have black fur and 36% have gray fur. A researcher calculated the allelic frequencies to be B=0.4 and b=0.6. Five years later, the researcher returned to the location and determined the allelic frequencies within the squirrel population to be B=0.6 and b=0.4 Plasmids are used as vectors in both plant and bacterial recombinant DNA technology. However, there is a major difference in the fate of genes introduced into bacteria on most bacterial plasmids and into plants on Ti plasmids. What is this difference? There are 136 people waiting for a river raft ride. Each raft holds 8 people. Silvia used the work below to find the number of rafts needed to hold 136 people. Explain how her work helps to find out how many rafts are needed. 8 % 136-80= 56 - 56 =0 Three-year-old Emma went to see a New York Yankees game in Yankee Stadium. From her seat in the bleachers, the players looked like tiny men, but as she walked toward the field, the players seemed to grow in size, as if by magic. Emmas belief that the men grew larger is best explained by:___________ which alkali is used in Barium Sulfate ? Identify one way members of the Guardian Council are selected. Describe two specific functions of the Guardian Council. Hola! Me llamo Mayelin y soy de Virginia. Este fin de semana voy a visitar a mi amiga Carolina y a conocer a su familia en Argentina. Voy a estar dos semanas en el pas de Carolina. Esta noche voy a hacer mis maletas. Quiero llevar ropa y cmara para tomar muchas fotos. En diciembre en Virginia hace fro, pero en Argentina hace sol y calor porque es verano. En mi maleta voy a poner unos vestidos, mi traje de bao, mis chanclas, mis tenis y mis lentes de sol. Voy a empacar mis botas de agua, unos pantalones, un abrigo y un gorro porque va a nevar y llover. Carolina dice que vamos a visitar Buenos Aires, los Andes, y el parque de Iguaz. Voy a aprender ms sobre Argentina por internet en la noche. Mis padres estn un poco ansiosos, pero yo estoy muy contenta! (1 point) Protagonista o protagonistas: Carolina and Mayelin; escenario: Andes; tema: The clothes needed Protagonista o protagonistas: Mayelin; escenario: her residence in Virginia; tema: preparation for a trip Protagonista o protagonistas: Mayelin; escenario: Argentina; tema: the importance of friendship Protagonista o protagonistas: Carolina and Mayelin; escenario: Buenos Aires; tema: The parents' feelings Choose the verb tense that makes the most sense. It was dark out, so the house ______ extra spooky. A bank has $200 million in demand deposits and $150 million in reserves. The reserve ratio is 20 percent. What is the maximum amount of loans the bank can make from its reserves? Place the following steps in order for motor control. 1. Upper motor neurons stimulate lower motor neurons. 2. Sensory information is relayed back to the cerebellum so movement can be modified if needed. 3. Upper motor neurons in the premotor cortex select a motor program. 4. Lower motor neurons stimulate a skeletal muscle to contract. 5. The basal nuclei enable the thalamus to stimulate upper motor neurons of the primary cortex. A) 3, 5, 1, 2, 4 B) 2, 5, 3, 1, 4 C) 3, 5, 1, 4, 2 D) 5, 3, 1, 4, 2 Place the following events in the order in which they occur during sound transmission. 1. Tympanic membrane vibrates. 2. Internal ear fluids are set in motion. 3. Hearing receptors are stimulated. 4. Ossicles of the ear vibrate. 5. Auditory cortex is stimulated. Please Help! A function is represented by the values in the table. xy 2226 2022 1620 1418 1014 Choose from the drop-down menu to complete the statement. The function represented in the table (Is or is not) linear. Pick one: Is or is not. Put the following events in the correct order. Rank the options below. a. A water-soluble hormone binds with a membrane-bound receptor. b. Open choices for matching Enzymes that were already present are activated. c. Enzymes that were already present are activated. d. Open choices for matching cAMP molecules are synthesized. cAMP molecules are synthesized. e. Open choices for matching G proteins are activated. American eels (Anguilla rostrata) are freshwater fish with long, slender bodies that we can treat as a uniform cylinder 1.0 m long and 10 cm in diameter. An eel compensates for its small jaw and teeth by holding onto prey with its mouth and then rapidly spinning its body around its long axis to tear off a piece of esh. Eels have been recorded to spin at up to 14 rev/s when feeding in this way. Although this feeding method is energetically costly, it allows the eel to feed on larger prey than it otherwise could.An eel researcher uses the slow-motion feature on her phone's camera to shoot a video of an eel spinning at its maximum rate. The camera records at 120 frames per second. Through what angle does the eel rotate from one frame to the next?A. 1 B. 10 C. 22 D. 42 The profile of the cables on a suspension bridge may be modeled by a parabola. The central span of a bridge is 1270 ft long and 157 ft high. The parabola y=0.00039x^2 gives a good fit to the shape of the cables, where IxI less than of equal to 635, and x and y are measured in feet. Approximate the length of the cables that stretch between the tops of the two towers. Steam Workshop Downloader