Help me with this question, I don't know how to solve

Help Me With This Question, I Don't Know How To Solve

Answers

Answer 1

The simplified value is [tex]\frac{7a^{8}+12 }{21a^{5}}[/tex].

What is a mathematical expression?

A mathematical expression is a phrase that contains at least two terms or numbers and one action. It's possible to multiply, divide, add, or subtract with this mathematical operation.

The given expression is [tex]\frac{a^{3}}{3}+\frac{4}{7a^{5}}[/tex].

This can be simplified by cross-multiplying and adding.

[tex]\frac{a^{3}}{3}+\frac{4}{7a^{5}}=\frac{7a^{5}*a^{3}+4*3}{3*7a^{5}} \\=\frac{7a^{8}+12}{21a^{5}}[/tex].

Therefore the simplified value of the given expression is :

[tex]\frac{a^{3}}{3}+\frac{4}{7a^{5}}=\frac{7a^{8}+12 }{21a^{5}}[/tex]

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Related Questions

Simplifying algebraic radicals. 14 sqrt 320

Answers

Factor 320= 8^2 x 5
Square root 8^2 x 5
Square root 8^2 Square root 5
14 x 8 Square root 5
Multiply 14 & 8 to get 112
Solution 112 Square root 5

monique is 2 years older than vanessa. the sum of their ages is 32.let v represent vanessas age.which of the following equations can be used to find vanessas age?
a.v+2=32
b.2v -2=32
c.v+(v-2)=32
d.v+(v+2)=32

Answers

The correct option is a. The equation used to find Vanessa's age is v + 2 = 32.

What is an equation?

A mathematical statement known as an equation utilises the equals sign to demonstrate the equality of two expressions. It may be used to address a variety of issues and can contain both numbers and variables. Algebraic operations including addition, subtraction, multiplication, division, and exponentiation are frequently used in equations.

In the given question, Vanessa's age may be calculated using the equation a. v+2=32. This equation shows that Vanessa's age plus 2 equals 32, implying that Vanessa's age is 30. We may solve this equation by removing 2 from both sides, yielding v=30. This equation is valid for determining Vanessa's age because it specifies that Vanessa's age plus Monique's age equals 32.

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Algebra tiles??
Please help!!

Answers

Answer:

(-x+2)(2x+1) — first option

Step-by-step explanation:

The rectangles represent an x, red means negative and yellow is positive.

The squares represent a unit (the number 1).

The diagram attached below demonstrates how this works.

Basically the top row of this tile equation is (-x + 2)And the column is (2x+1).

Expanding this makes -2x²+3x+2

2x-y=9,4x+y=21


answer this equation for a bloody cookie mate

Answers

Answer:

x=5, y=1

Step-by-step explanation:

2x-y=9

2(5)=10

10-1=9

4x+y=21

4(5)=20

20+1=21

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A dietician recommends 48 grams of protein each day for his patient. At the end of the day, the patient has only eaten 40 grams of protein. What percent of her daily intake has the patient eaten?​

Answers

Answer:

83%

Step-by-step explanation:

To find the percentage divide 40 by 48

40/48 = 0.83333333333333

Round to 0.83

Multiply by 100

The patient has only eaten 83% of her daily intake.

Compare the slope and length of segment EF with the slope and length of segment AB. What do you notice? What are you wondering?

Answers

The slope of segment EF and AB is same but the length of segment EF is half of the length of segment AB.

What is Line segment ?

An unmoving portion of a line is called a line segment. Two points serve as its ends. By the termination points, it is identified.

Let's assume the length of EF to be "x"

from the figure, we can clearly see that AB is made up of two segments which are of same length as EF.

So, we can say that AB = 2 times of the length of EF

i.e. AB = 2 x

Hence, By comparing, we conclude that AB's length is double of EF.

Now, if we look at slope,

Slope of EF = CE/CF

and, Slope of AB = BC/AC

But, we know that AC = 2 CF and BC = 2 CE

So, Slope of  EF = CE/CF

and, Slope of AB = 2 CE / 2 CF

                             = CE/CF.

Hence, Both segments have same slope direction.

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At its earliest stages, a logistic growth curve closely resembles an exponential growth curve. False/True.

Answers

At its earliest stages, a logistic growth curve closely resembles an exponential growth curve - True

It is true that at its earliest stages, a logistic growth curve closely resembles an exponential growth curve.

The logistic growth curve shows the logistic population growth rate, the logistic growth curve on a line graph is similar to a S-shaped and it's observed that there is a slow increase, rapid population growth, and finally, the reduction in the growth.

On the other hand, the exponential growth curve is a J-shaped curve that shows us that there is a rapid and consistent or steady growth in the population over the duration of a specific period.

It could be said that an exponential growth curve is opposite of a slow and steady success.

Both the curve start along with the same pattern but with time gradually change their constrain over the graph.

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Harold lives 70 miles due south of his parents' house and 24 miles west of his grandparents' house. On his birthday, Harold drove from his house to his parents' house. From there, he drove in a straight line to his grandparents' house and then back home. How far did Harold drive on his birthday?

Answers

Approximately 70 miles separated Harold's home at his grandparents' home from his own home. Accordingly, Harold travelled the following distance overall on his birthday: 70 + 74.46 + 70 ≈ 214.46

How would you define distance in plain English?

What is a distance? . Regardless of the start or end point, distance can be defined as the amount of space object has to cover.

How do you gauge a distance?

The metre serves as the SI unit of distance (m). Centimeters (cm) are a common unit of measurement for short distances, whereas kilometres (km) are used for longer distances (km). You could measure a piece of paper's length in centimetres, for instance, by measuring from the bottom to the top.

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3-83. Challenge Problem! Find the dimensions of the generic rectangle below. Then write an equivalency
statement (length width = area) of the area as a product and as a sum.

3x
-5x
-15

Answers

The dimensions are 5 units each

The area of the rectangle is 25 units

How to determine the dimensions

It is important to note that algebraic expressions are defined as expressions that are composed of variables, terms, cofficients, constants and factors.

They are also described as expressions with mathematical operations.

From the information given, we have that;

x² - 5x + 3x - 15

To solve the quadratic equation, let us use the factorization method

Group the values in pairs

(x² - 5x) + (3x - 15)

factor the terms

x(x -5) +3(x - 5)

Then, x + 3 = 0

x = -3

And x - 5 = 0

x =5

But area of a rectangle is;

= Length× width

= 5 × 5

= 25 square units

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Mr. Stanley owns a farm measuring 24m long and 40m wide. If he wants to plant in squares, what is the largest sized square he can use?

Answers

The largest square that Mr. Stanley can use to plant in his farm is a square with a side length of 8 meters.

To find the greatest common factor of 24 and 40, we can list the factors of both numbers and find the highest factor that they have in common:

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

The highest factor that 24 and 40 have in common is 8.

Factors are numbers that can be multiplied together to get a given number. For example, the factors of 6 are 1, 2, 3, and 6 because 1 x 6 = 6 and 2 x 3 = 6. Factors can be prime or composite. Prime factors are those that are only divisible by 1 and themselves. Composite factors are those that have more than two factors.

Factors are important in math because they can be used to simplify fractions, find common denominators, and solve equations. They also play a crucial role in number theory and cryptography, where they are used to encrypt and decrypt messages. 150 is a composite number, which means it has factors other than 1 and itself. The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, and 150. To find these factors, you can divide 150 by each number smaller than it and see if the remainder is 0.

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3²ˣ -3ˣ⁺² = 3ˣ⁺¹ - 3³.

Answers

To solve this equation, we can start by combining like terms on both sides. On the left side, we have:

3²ˣ - 3ˣ⁺² = 3ˣ - 3

Next, we can subtract 3ˣ from both sides:

3ˣ - 3 - 3ˣ⁺² = 3ˣ - 3 - 3

Simplifying the right side:

-3ˣ⁺² = 0

Finally, we can divide both sides by -3 to find the value of x:

ˣ⁺² = 0

Taking the square root of both sides:

x = ±0

So the solution to the equation is x = 0.

There are approximately 1. 06 quarts per liter. There are 4 quarts per gallon. If gasoline cost $0. 50 per liter, how much does gasoline cost per gallon?

A. $1. 42/gal

B. $1. 75/gal

C. $1. 89/gal

D. $2. 12/gal

E. $4. 24/gal​

Answers

Answer:

$1.89/gal

Step-by-step explanation:

If 3 times a certain number is increased by 4 the result is 28. What is the number?

Answers

Answer:

8

Step-by-step explanation:

8x3 = 24

24 + 4 = 28

3x+4=28
3x=28-4
3x=24
3x/3=24\3
x=8

Represent and Connect Lennon has 3,330 toothpicks. He
wants to use them all to make a floor mat with 18 equal
rows. Use the bar diagram to write a division equation.
Then solve the equation to find how many toothpicks
Lennon should use in each row.

Answers

The toothpicks lennon should use in each row is 185.

What is Algebra?

Algebra is the study of abstract symbols, and logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction also. This approach is used to answer the given problem correctly and completely.

We are given that;

Total number of toothpicks= 3330

Number of rows= 18

Now,

To find the number of toothpicks in each row

=3330/18

=1665/9

=185

Therefore, by algebra the answer will be 185.

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5843 divided by 11 whth remainders

Answers

Answer:

Remainder:

Step-by-step explanation:

Step 1: Divide 5843 by 11.

5843/11 = 530.272727

Step 2: Find the quotient.

Quotient = 530

Step 3: Find the remainder.

Remainder = 3

what is 3 1/2x - 5 1/2x,x=2/5

Answers

Answer:

[tex]-\dfrac{4}{5}[/tex]

Step-by-step explanation:

We have the following expression

[tex]3 \;\dfrac{1}{2} x - 5\;\dfrac{1}{2}x[/tex]

and asked to evaluate this expression at  [tex]\[x = {2\over\displaystyle 5\][/tex]

First convert [tex]3 \; \dfrac{1}{2}[/tex]   and  [tex]5 \; \dfrac{1}{2}[/tex]  to mixed fractions

[tex]3 \; \dfrac{1}{2} = \dfrac{3 \times 2 + 1}{2} = \dfrac{7}{2}\\[/tex]

[tex]5 \; \dfrac{1}{2} = \dfrac{5 \times 2 + 1}{2} = \dfrac{11}{2}[/tex]

Therefore
[tex]3 \;\dfrac{1}{2} x - 5\;\dfrac{1}{2}x\\\\= \dfrac{7}{2}x - \dfrac{11}{2}x\\\\= \dfrac{7 - 11}{2} x\\\\= -\dfrac{4}{2}x \\\\= -2x\\\\[/tex]

[tex]\mathrm{For \;x =\dfrac{2}{5}},\\\\= -2x \\= - 2 \times \dfrac{2}{5}\\\\= -\dfrac{4}{5}[/tex]

There are 15000 average passengers on domestic flights daily. 1/20 of the passengers are tourists and 1/15 of the tourists are travel bloggers. How many tourist passengers on domestic flights are travel bloggers

Answers

If there are 15000 average passengers on domestic flights daily, then 1/20 of the passengers are tourists, which means there are 15000 * (1/20) = 750 tourists daily.

And if 1/15 of the tourists are travel bloggers, then there would be 750 * (1/15) = 50 travel bloggers daily.

If there are 15000 average passengers on domestic flights daily, then 1/20 of the passengers are tourists, which means there are

15000 * (1/20) = 750 tourists daily

So, there would be a total of 50 tourist passengers on domestic flights who are travel bloggers.

It is important to note that these are average numbers and the actual number of tourists and travel bloggers on domestic flights can vary from day to day. However, this calculation provides a general idea of the proportion of tourist passengers who are travel bloggers on domestic flights.

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A large cheese pizza costs
$
18
$18dollar sign, 18. Each topping you add on costs
$
1.50 dollar sign, 1, point, 50.
How much would it cost to get a large cheese pizza with

cc toppings added?
Write your answer as an expression.

Answers

Answer:

A

=

1.50c + 18

where

A

is amount and

c

is toppings added

Step-by-step explanation:

The constant price is

18

dollars, which never changes and for every topping you get, it costs

$

1.50

. If you got no toppings, sub in

0

for

c

to get

$

18

.

you can choose one of three boxes. box a has four $5 bills and a single $100 bill, box b has 400 $5 bills and 100 $100 bills, and box c has 24 $1 bills. you can have all of box c or blindly pick one bill out of either box a or box b. which offers the greatest expected winning?

Answers

Box B offers the greatest expected winning, as it has the highest chance of yielding the most money.

HELPP PLSSS
Factor the polynomial.

x²+2x² +14x+7x²

Answers

Answer:

2x(5x+7)

Step-by-step explanation:

[tex]x^2+2x^2+14x+7x^2\\=10x^2+14x\\=2x(5x+7)[/tex]

A 13-foot ladder is leaning up against a building. The top of the ladder reaches the wall at a height of 12 feet. How far is the
bottom of the ladder from the building? Find the angle (2B) that the ladder makes with the ground?
A
12
C
building
13
ladder
X
ground
B
How far is the ladder from the building? Find x = ?
Keep the results to the nearest whole number.
feet
Find the angle that the ladder makes with the ground? LB =
Keep the results to the nearest whole number.

Answers

The angle that the ladder makes with the ground is ∠B = 67.38°.

The distance between the ladder from the building is 5 feet.

What is the right triangle?

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

Given that a 13-foot ladder is placed up against a wall.

The ladder's top touches the wall at a height of 12 feet.

As per the given question, we have the right triangle ΔABC

Using sine ratio to find angle ∠B as:

sin ∠B = AC/ AB

sin ∠B = 12/13

∠B = sin ⁻¹(12/13)

∠B = 67.38°

Now, using Pythagoras's theorem to find distance x as:

AC² + BC² = AB²

12² + x² = 13²

144 + x² = 169

x² = 169 - 144

x² = 25

x = 5

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a college student is preparing a course schedule of four classes for the next semester. the student can choose from the open sections shown in the table. (a) find the number of possible schedules that the student can create from the offerings. (b) find the number of possible schedules that the student can create from the offerings if two of the math 100 sections are closed. (c) find the number of possible schedules that the student can create from the offerings if two of the math 100 sections and four of the english 105 sections are closed.

Answers

(a) The number of possible schedules that the student can create from the offerings is 96.

(b) the number of possible schedules that the student can create from the offerings if two of the math 100 sections are closed is 48.

(c) the number of possible schedules that the student can create from the offerings if two of the math 100 sections and four of the English 105 sections are closed is 4.

(a) To find the total number of possible schedules, we need to multiply the number of choices for each class:

Number of schedules = 4 x 2 x 3 x 4 = 96

So, there are 96 possible schedules that the student can create from the offerings.

(b) If two of the math 100 sections are closed, then there are only two choices for that class. So, we have:

Number of schedules = 2 x 2 x 3 x 4 = 48

So, there are 48 possible schedules that the student can create from the offerings with two of the math 100 sections closed.

(c) If two of the math 100 sections and four of the English 105 sections are closed, then there are only two choices for math 100 and one choice for English 105. So, we have:

Number of schedules = 2 x 2 x 1 x 1 = 4

So, there are 4 possible schedules that the student can create from the offerings with two of the math 100 sections and four of the English 105 sections closed.

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the primary tool or measure for determining whether the assumed regression model is appropriate is .

Answers

The primary tool or measure for determining whether the assumed regression model is appropriate is the residual plot.

A residual plot is a graph that shows the residuals, or the differences between the observed values and the predicted values from the regression model, plotted against the predictor variable(s). If the residuals are randomly scattered around zero, with no discernible pattern, then the regression model is a good fit for the data.

However, if there is a pattern in the residuals, such as a curved or U-shaped relationship, then the regression model may not be appropriate and a different model may need to be considered.

In addition to the residual plot, other measures such as the coefficient of determination (R-squared), the p-values of the regression coefficients, and the normality of the residuals can also be used to evaluate the goodness of fit of a regression model.

However, the residual plot is often considered the primary tool for assessing the adequacy of a regression model.

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find the difference between 307 and 188​

Answers

The difference between those numbers are that they are different numbers. If you calculate each sides of the numbers, u would notice that it’s different.
199.

307-188=199 (Difference=Subtraction)

Find an equation of the line of symmetry of triangle ABC.

Answers

Answer:

The equation of the line of symmetry of triangle ABC is:

3x + 2y = 86

Step-by-step explanation:

The line of symmetry of an isosceles triangle bisects the vertex angle (the angle opposite the base) and is perpendicular to the base of the triangle.

As AB = AC, then angle A is the vertex angle of the isosceles triangle ABC.

If B and C lie on the line with equation 3y = 2x + 12, then the line of symmetry is the line that is perpendicular to this line and passes through A (4, 37).

Rearrange the given equation 3y = 2x + 12 to slope-intercept form by dividing both sides by 3:

[tex]\implies y=\dfrac{2}{3}x+4[/tex]

Perpendicular lines have slopes that are negative reciprocals of one another.  Therefore, the slope of the perpendicular line is -³/₂.

Substitute the found slope and point A (4, 37) into the point-slope formula:

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

[tex]\implies y-37=-\dfrac{3}{2}(x-4)[/tex]

Rearrange the equation to standard form:

[tex]\implies 2y-74=-3(x-4)[/tex]

[tex]\implies 2y-74=-3x+12[/tex]

[tex]\implies 3x+2y-74=12[/tex]

[tex]\implies 3x+2y=86[/tex]

Therefore, the equation of the line of symmetry of triangle ABC is:

3x + 2y = 86

Use synthetic division to find the quotient and remainder when x³ + 9x² + 12x - 5 is divided by x+7 by completing the parts below.
(a) Complete this synthetic division table.
-7)
19 12 -5
000
OOOO
(b) Write your answer in the following form: Quotient +
3
x³ + 9x² +
+ 9x + 12x-5
x+7
=
x+7
Remainder
x+7
X

Answers

The division can be written as: x³ + 9x² + 12x - 5 = (x + 7)(x² + 7x + 10) - 75

What is synthetic division ?

Synthetic division is a simplified method of polynomial division that can be used to divide a polynomial by a linear binomial. It's used to find the quotient and remainder of a polynomial division without having to perform long division.

In synthetic division, the coefficients of the polynomial are arranged in a table along with the coefficients of the divisor, and then divided and multiplied using the same rules as in long division. The remainder of the division is the last entry in the table, and the quotient is the polynomial whose coefficients are the entries in the table, excluding the remainder.

To perform synthetic division, we divide x³ + 9x² + 12x - 5 by x + 7 by dividing each coefficient by x + 7 and then writing the result in a table with the dividend on top and the divisor on the bottom. Here's what the table would look like:

 + 7 |  1  9  12 -5

-------------------

x^3  | x^3  9  12 -5

x^2  | x^2 +7x  3 -35

x    |  x +7  10 -70

   -------------------

       10  43 -75

The quotient of the division is x² + 7x + 10, and the remainder is -75.

Therefore, the division can be written as: x³ + 9x² + 12x - 5 = (x + 7)(x² + 7x + 10) - 75

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Tanner is 2 years younger than his

brother. Tanner's age t in years is 2

less than his brother's age b.

dependent variable:

independent variable:

equation:

Answers

The equation will be:

t = b - 2

And we can see that:

independent variable = brother's age.dependent variable = Tanner's age.

How to identify the variables?

Here we have two variables:

t = taner's age

b = age of Tanner's brother.

The independent variable is the one that does not depend on the other, in this case (for how it is worded) is the brother's age.

The dependent variable depends on the other, on this case, Tanner's age.

Now let's write the equation, we know that Taner's age is 2 years less than his brother, then:

t = b - 2

That is the equation.

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Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 3\le x \le 43≤x≤4.

Answers

The average rate of change of f(x) over the interval 3≤x≤4 is 15

What is the average rate of change of f(x) over the interval

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

The table of values

On the table, we have

f(3) = -4

f(4) = 11

The average rate is then calculated as

Average rate = [f(4) - f(3)]/[4 - 3]

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

Average rate = (11 + 4)/(4 - 3)

Evaluate

Average rate = 15

Hence, the average rate is 15

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Complete question

Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 3\le x \le 43≤x≤4.

X f(x)

3 -4

4 11

5 8

6 10

7 11

8 14

5x +6y = 4
10x+12y = 8
What is the system of equation is it no solution, one solution, or infinitely many solutions?

Answers

The equation 5x + 6y = 4, 10x + 12y = 8 has infinitely many solution.

How to solve system of equation?

System of equation can be solved using elimination method, substitution method and graphical method.

Therefore, let's solve the system of equation using elimination method.

5x + 6y = 4

10x + 12y = 8

multiply equation(i) by 2

Hence,

10x + 12y = 8

10x + 12y = 8

subtract the equations

0 = 0

Therefore, the equation has infinitely many solution.

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hospital records show that 12% of all patients are admitted for heart disease, 16% are admitted for cancer (oncology) treatment, and 4% receive both coronary and oncology care. what is the probability that a randomly selected patient is admitted for coronary care, oncology or both? (note that heart disease is a coronary care issue.)

Answers

The probability of randomly selected patient selected for coronary, oncology or both is equal to P( H∪C ) = 0.24.

Let patient admitted with heart disease represented by P(H)

P(H) = 12%

       = 0.12

And patient admitted for cancer disease represented by P(C)

P(H) = 16%

       = 0.16

Percent of patient received both coronary and oncology = 4%

P( H∩C ) = 0.04

Probability of randomly selected patient admitted for coronary, oncology or both is :

P( H∪C ) = P(H) + P(C) - P(H∩C )

⇒P( H∪C ) = 0.12 + 0.16 - 0.04

⇒ P( H∪C ) = 0.24

Therefore, the probability of randomly selected patient getting treatment for coronary, oncology or both is given by  P( H∪C ) = 0.24.

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Tachypnea is characterized by more than ______ breaths per minute. 18. 30. 24. 12.. 24. A positive charge is located at the center of a cube. a. Are the intersections of the field lines with a side of the box uniformly distributed across that side? Explain. b. We can consider the left side of the box as composed of many small surface elements of equal area.i. Is the number of field lines through surface element A greater than, less than, or equal to the number of field lines through surface element B? Explain. ii. Is the flux through surface element A greater than, less than, or equal to the flux through surface element B? Explain. c. Consider the surface element A itself as composed of many even smaller pieces. Would the number of field lines through each of those new small surface elements vary much from one to another? Explain. Describe how the field lines for the positive point charge appear to be distributed when the region over which you look becomes sufficiently small. ionic compunds forming HELP!! In a paragraph, explain the significance of the North American Free Trade Agreement (NAFTA). In your response, consider how NAFTA expanded trade options for America. Find the number of ways to arrange the letters in HEDGEHOG.There are blank ways to arrange the letters in HEDGEHOG. Mallory's Border Collie had 23 puppies in 4 litters. Determine the rate for a ratio of the two different quantities Whats the correct answer answer asap and a constant-cost, perfectly competitive gadget industry is in long-run equilibrium. a decrease in the number of consumers of gadgets will most likely result in the humanists believe that our ability to choose what happens in life is determined by question 30 options: a) learning. b) unconscious forces. c) genetics. d) free will. How did Harriet Jacobs define her identity? What does she do to ensure this identity? help me please I rlly need the answer 5. The current calendar, called the Gregorian calendar, wasintroduced in 1582. Every year divisible by four wasdeclared to be a leap year, with the exception of theyears ending in 00 (that is, those divisible by 100) andnot divisible by 400. For instance, the years 1600 and2000 are leap years, but 1700, 1800, and 1900 are not.Write a Java application that request a year as input andstates whether it is a leap year. #10USING STRUCTURE The shipping container is a rectangular prism. Write aolume of the container. Express the answer in standard form.(4x-3) ft(x+1) ft(x+2) ftThe volume is cubic feet. the ciso will not allow the business analysts to observe live operations in a network security center (to develop requirements for systems and user interfaces). what technique should the business analysts plan to use instead? n a perfect world, everyone would have equitable access to education, a good income, and the ability to build wealth. if you had all the money and resources in the world, how would you ensure that everyone has equitable access to education, a good income, and the opportunity to build wealth? problem1answered. problem2answered.this problem is current being displayed. problem3 question content areacool taste company recorded $2,800 in sales on account for the week. what effect does this transaction have on the accounting equation? which of the four approaches to personality (psychodynamic theory, humanistic approaches, social cognitive approaches, trait approaches) most accurately explains how our personalities develop? Ramesh ran at a speed of 7 km/h for 3 h. He then 2 He took 6 h altogether to complete the whole journe (a) Find the total distance that Ramesh ran. (b) Find his average running speed for the whole j a mixed number in its simplest form. you arrive late on the first day of your rotation and your preceptor is unhappy with you. over the next few days you feel like your relationship with your preceptor is becoming difficult and that everything you do is wrong. how would you handle this situation and what steps would you take to improve it? A rectangle is 13 feet long and has a diagonal that is 20 feet long. What is the length of the width?