Six years ago Anita was P times as old as Ben was. If Anita is now 17 years old, how old is Ben now in terms of P ?
A. 11/P + 6
B. P/11 +6
C. 17 - P/6
D. 17/P
E. 11.5P

Answers

Answer 1

option A is correct-Ben is 11/P + 6 old now in terms of P .

Six years ago,

Anita was P times as old as Ben was.

Let Ben's age now be B.

let Anita's age now be A.

linear equation in two variables is as follows,

(A-6) = P(B-6)

we know A = 17,put the value of A,

17 - 6 = P(B - 6)

11 = P(B - 6)

11/P = B- 6

B = 11/P + 6

therefore,

Ben is 11/P + 6  old now in terms of P .

linear equation

A linear equation in two variables is of the form Ax + By + C = 0, in which A and B are the coefficients, C is a constant term, and x and y are the two variables, each with a degree of 1.

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Related Questions

Divide the following numbers in scientific notation and express the result in scientific notation.

Answers

Answer:

8.00

Step-by-step explanation:

First simplify the exponents 10^15 is 1000000000000000 or 1e+15 then 10^4 is 10000. Then multiply: 1e+15 x 3 = 3e+15 ------ 10000 x 7 = 70000. When you divide 3e+15 by 70000 you get 8.115 or 8 rounded to the decimal place.

What is the domain of f(x) = 5x – 7?

{x | x > –7}
{x | x < –7}
{x | x > 0}
{x | x is a real number}

Answers

Answer:

{x | x is a real number}

Step-by-step explanation:

x can have any real number value.

if log 5 a= 3, then log 5 (a^3) =

Answers

There a rule for logarithms:

         [tex]\log_n(a^m) = m \cdot \log_n(a)[/tex]

So when you're working with [tex]\log_5(a^3)[/tex], we can use that rule to rewrite this as
        [tex]\log_5(a^3) = 3 \cdot \log_5(a)[/tex]

And since the first part tells us (on paper) that [tex]\log_5(a) = 2[/tex], then we can say
        [tex]\log_5(a^3) = 3 \cdot \log_5(a) = 3 \cdot 2 = 6[/tex]

x^5-5x^3+4x=0 solve the equation

Answers

Answer:

x

=

0

,

x

=

1

,

x

=

2

,

x

=

1

, and

x

=

2

Explanation:

Start off by factoring out an

x

as follows

x

(

x

4

5

x

2

+

4

)

=

0

We can factor

x

4

5

x

2

+

4

Doing so we have

x

(

x

2

4

)

(

x

2

1

)

=

0

So in order for this to be equal to zero

x

=

0

OR

x

2

4

=

0

OR

x

2

1

=

0

Well

x

=

0

x

2

=

4

x

=

±

4

=

±

2

x

2

=

1

x

=

±

1

=

±

1

Refer to the attached image

Show that the quadrilateral, formed by joining the mid-points of the sides of a square is also a square.

Answers

Since the mid-points of opposite sides of a square are equal, the quadrilateral formed will also be a square.

A four-sided polygon whose all sides are equal is a square. This means that the opposite sides of a square are equal in length and the opposite angles are also equal. Furthermore, the diagonals of a square bisect each other at their mid-points. Therefore, if the mid-points of opposite sides of a square are joined, a quadrilateral is formed. Since the opposite sides and angles are equal, the quadrilateral formed is also a square. To prove this, we can draw a line from the mid-point of one side of the square to the mid-point of the opposite side. We can then draw a line from the mid-point of the other side of the square to the mid-point of the opposite side. This will form a quadrilateral, and due to the equal sides and equal angles, it will be a square.

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Answer the following

Answers

The horizontal change between the same two points: A

It is the measure of the steepness of the line: C

Is the vertical change between any two points: B

functions that aren't invertible can be made invertible by restricting their domains. for example, the function $x^2$ is invertible if we restrict $x$ to the interval $[0,\infty)$, or to any subset of that interval. in that case, the inverse function is $\sqrt x$. (we could also restrict $x^2$ to the domain $(-\infty,0]$, in which case the inverse function would be $-\sqrt{x}$.) similarly, by restricting the domain of the function $f(x).

Answers

When the domain of x is restricted, the function x2 becomes one-to-one, and the inverse function is x.

It is true that limiting a function's domain might cause it to become invertible. Because it is not one-to-one in the example, the function x2 is not invertible across its complete domain of real numbers (i.e., it assigns multiple outputs to some inputs). However, x2 becomes one-to-one and invertible when the domain of x is constrained to or any subset of that interval. The range of x2, which is, is used to define the inverse function in this situation, which is

The function x2 becomes one-to-one when the domain of x is constrained, and the inverse function is

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if the pattern below contiunues which equation(s) is a recursive formula that reprsents the number of sequences in this sequence

Answers

The recursive formula that represents the number of sequences in this sequence is n(n-1)(n-2)/6, where n is the number of terms in the sequence.

This recursive formula is based on the pattern of the sequence. The sequence has three terms, a, b and c, and then three combinations of two terms, ab, ac and bc, and then one combination of all three terms, abc. This pattern of three terms, then three combinations of two terms, then one combination of all three terms continues as the sequence increases.

The recursive formula represents this pattern in a mathematical equation. The formula is n(n-1)(n-2)/6, where n is the number of terms in the sequence. This formula is derived from the fact that for each term there are two other terms that can combine with it to form a two-term combination, and one combination of all three terms. Therefore, for n terms, there are n(n-1)/2 two-term combinations and one combination of all three terms, for a total of n(n-1)(n-2)/6 sequences.

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The complete question is

if the pattern below contiunues which equation(s) is a recursive formula that reprsents the number of sequences in this sequence 5, 10, 20, 40.

i could really use some help please

Answers

Answer:

B 6

Step-by-step explanation:

Answer:

B. 6

Step-by-step explanation:

6 x -14 = 3x + 4

3x = 18

X = [tex]\frac{18}{3}[/tex] Which equals =

6

what is bd?
a. 10
b 12
c 13
d 14

use the figure shown for items 2-3

Answers

The value of BD is 12cm.

What is  Pythagoras' theorem?

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Here, we have

BE = ED  (as E is the center of BD - property of a kite).

By Pythagoras' theorem:

10² = 8² + BE²

BE² = 10² - 8² = 36

BE = 6

So BD = 2*6 = 12.

Hence, the value of BD is 12cm.

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Solve the system of linear equations by elimination.
5x+6y=50
x-6y=-26

Answers

Answer:x=4, y=5

Step-by-step explanation:

Write an equivalent expression by distributing the sign outside the parentheses:
- (-9c- 0.8d - 1)

Answers

Answer:

9c + 0.8d + 1

Step-by-step explanation:

- (- 9c - 0.8d - 1) ← multiply each term in the parenthesis by - 1

= 9c + 0.8d + 1

50 POINTS REWARD + BRAINLEST!! NEEDED ASAP!! PLEASE!!

15. The algebraic expression 25x - 1,500 can be used to describe the daily profit of a company that makes waffle irons.

A. What does the first term of the expression represent? What does the second term of the expression represent?

B. Explain what the algebraic expression represents if the company sells 350 waffle irons per day.

C. What is the company's profit for a 5-day week? Explain.

Answers

A). The first term represents the total cost of the waffle irons and the second term represents the expenses.

B). The algebraic expression represents if the company sells 350 waffle irons per day will be 350x - 1500

C). The company's profit for a 5-day week is $250.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the algebraic expression 25x - 1,500 can be used to describe the daily profit of a company that makes waffle irons.

A). The first term represents the total cost of the waffle irons and the second term represents the expenses. Here 25 is the number of the waffle iron and the x is the number of days.

B). The algebraic expression represents if the company sells 350 waffle irons per day will be written as:-

350x - 1500

C). The company's profit for a 5-day week will be;-

Profit = 350x - 1500

Profit = ( 350 x 5 ) + 1500

Profit = 1750 - 1500

Profit = 250

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Enter deg​ after any value that is in degrees.

Answers

The concept of linear pairs from the given diagram shows that; GKH =  90°

How to identify linear pairs?

A linear pair is formed when two straight lines intersect to form two angles that are adjacent to each other and are on a straight line.

Now, what this means is that ∠F KG and ∠GKH will sum up to 180 degrees because they are linear pairs from the question.

Due to the fact that ∠F KG = 90°, then we can say that;

∠F KG + ∠GKH = 180°

90° + ∠GKH = 180°

∠GKH = 180° - 90°

∠GKH =  90°

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7 - (3 + 41) + 6i

-10 + (6 - 5i) - 9i
Solve with explanation pls

Answers

The simplified form of the first expression is -37 + 6i and the second expression is -16 - 14i.

What is the arithmetic operations?

Arithmetic operations are basic mathematical operations that can be performed on numbers, such as addition, subtraction, multiplication, and division.

The first expression is 7 - (3 + 41) + 6i. To simplify this expression, we need to first simplify the parentheses. Inside the parentheses, we have 3 + 41 = 44. So the expression becomes:

7 - 44 + 6i

Next, we can simplify the arithmetic operations by combining like terms:

7 - 44 + 6i = -37 + 6i

The second expression is -10 + (6 - 5i) - 9i. Similar to the first expression, we need to simplify the parentheses first. Inside the parentheses, we have 6 - 5i = 6 - 5i. So the expression becomes:

-10 + 6 - 5i - 9i

Next, we can simplify the arithmetic operations by combining like terms:

-10 + 6 - 5i - 9i = -16 - 14i

Hence, the simplified form of the first expression is -37 + 6i and the second expression is -16 - 14i.

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Find four consecutive even integers such that twice the sum of the second and third exceeds 3 times the first by 32.

Answers

Answer:

20, 22, 24, 26

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

Let the integers be:

x, x + 2, x + 4, x + 6

Twice the sum of the second and third exceeds 3 times the first by 32:

2(x + 2 + x + 4) = 3x + 32

Solve it for x:

2(2x + 6) = 3x + 324x + 12 = 3x + 324x - 3x = 32 - 12x = 20

The probability of rolling a number greater than 1 on a six sided number cube is 5/6 choose the likelihood that best describes the of this event. A neither likely or unlikely B impossible C Unlikely D Likely

Answers

The probability of rolling a number greater than 1 on a six sided number cube is 5/6 therefore the likelihood that best describes the of this event is that it is Likely and is therefore denoted as option D.

What is Probability?

This is referred to as the branch of mathematics which describes how likely an event is to occur or how likely it is that a proposition is true using numerical descriptions.

In this scenario we were told that the probability of rolling a number greater than 1 on a six sided number cube is 5/6 which means that is likely to occur due to the high percentage or ratio of the event being observed thereby making option D the correct choice.

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HELPPPPP PLEASEEEE URGENT

Answers

The table 1  represent the function From the given figure.

What is function ?

The function in mathematical terms is the mapping of each member of a set (named as a domain) to another set of members (named as a codomain). This term has a different meaning from the same word that is used every day, such as "the tool works well." The concept of function is one of the basic concepts of mathematics and any quantitative science. The terms "function", "mapping", "map", "transformation" and "operator" are usually used synonymously.

In function, there are several important terms, including:

The domain is the area of ​​origin of the function f denoted by Df.

Codomain is the area where the f function area is denoted by Kf.

The range is the result area which is a subset of the codomain. The function range f is denoted by Rf.

PROPERTIES OF FUNCTIONS

1. INJECTIVE FUNCTION

Called one-on-one function. Suppose the function f represents A to B, then the function f is called a one-on-one function (injective), if each two different elements in A will be mapped to two different elements in B. Furthermore, it can be said briefly that f: A → B is injective function if a ≠ b results in f (a) ≠ f (b) or equivalent if f (a) = f (b) then the effect is a = b.

2. SURJECTIVE FUNCTION

Function f: A → B is called a function to or objective function if and only if for any b in the B domain can be at least one an in domain A so f (a) = b applies. In other words, a codomain of the objective function is the same as its range.

3. BIJECTIVE FUNCTION

A mapping off: A → B is such that f is both an injective and objective function at once, so it is said "f is a function of wisdom" or "A and B are in one-to-one correspondence".

Therefore, The table 1  represent the function From the given figure.

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Indicate the equation of the given line in standard form. The line containing the altitude to the hypotenuse of a right triangle whose vertices are P(-1, 1), Q(3, 5), and R(5, -5). Show calculations.

Answers

The linear function containing the altitude to the hypotenuse of a right triangle whose vertices are P(-1, 1), Q(3, 5), and R(5, -5) is given as follows:

y = -5x + 20.

How to define the linear functions?

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

m is the slope, representing the rate of change.b is the intercept, representing the value of y when x = 0.

The hypotenuse is composed by segment QR, hence the points are:

Q(3,5) and R(5,-5).

The slope is given by the change in y divided by the change in x, hence:

m = (-5 - 5)/(5 - 3)

m = -5.

Hence:

y = -5x + b.

When x = 3, y = 5, hence the intercept b is obtained as follows:

5 = -15 + b

b = 20.

Hence the equation is:

y = -5x + 20.

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evaluate the limit by first interpreting the sum as a riemann sum for a function defined on [0, 16].

Answers

The limit in question is

[tex]$$\lim_{n\to \infty} \frac{1^3 + 2^3 + 3^3 + \dots + n^3}{n^4}$$[/tex]

This limit can be interpreted as the Riemann sum of a function defined on the interval [0, 16]. To calculate the sum, we need to first find the function that is being approximated. To do this, we can use the fact that the numerator of the limit can be rewritten as a single summation:

[tex]$$\sum_{k=1}^n k^3 = \frac{n^2 (n+1)^2}{4}$$[/tex]

This means that the function we are approximating is [tex]$f(x) = \frac{x^2 (x+1)^2}{4}$[/tex]

Now, to calculate the Riemann sum, we need to divide the interval [0, 16] into $n$ equal subintervals. The width of each subinterval is given by [tex]$\Delta x = \frac{16}{n}$\\The Riemann sum is given by $$\sum_{i=1}^n f\left(x_i\right) \Delta x = \sum_{i=1}^n \frac{\left(x_i\right)^2 \left(x_i+1\right)^2}{4} \cdot \frac{16}{n}$$[/tex]

where [tex]$x_i = \frac{16i}{n}$[/tex]

Plugging this into the limit, we get

[tex]$$\lim_{n\to \infty} \frac{1^3 + 2^3 + 3^3 + \dots + n^3}{n^4}\\ = \lim_{n\to \infty} \frac{\sum_{i=1}^n \frac{\left(x_i\right)^2 \left(x_i+1\right)^2}{4} \cdot \frac{16}{n}}{n^4} = \\frac{16}{4} \lim_{n\to \infty} \frac{\sum_{i=1}^n \frac{\left(x_i\right)^2 \left(x_i+1\right)^2}{n}}{n^3}$$[/tex]

Finally, we can take the limit of the above expression to get

[tex]$$\lim_{n\to \infty} \frac{1^3 + 2^3 + 3^3 + \dots + n^3}{n^4} = \frac{16}{4} \cdot \frac{f(16)}{16^3} = \frac{1}{4}$$[/tex]

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A plant is already 10.25 meters tall, and it will grow 5 centimeters every month. The plant's height, H (in meters), after x months is given by the following
function.
H(x)=0.05x+10.25
What is the plant's height after 30 months?

Answers

On solving the function H(x) = 0.05x + 10.25, the plant's height after a period of 30 months is obtained as 11.75 m.

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

The height of the plant is = 10.25 m

The rate at which plant grows is = 5 cm/month or 0.05m/month

The function for plant's height is given as - H(x) = 0.05x + 10.25

To find the plant's height after 30 months, substitute the value of x with 30 in the function -

H(30) = 0.05(30) + 10.25

Use the arithmetic operation of multiplication -

H(30) = 1.5 + 10.25

Use the arithmetic operation of addition -

H(30) = 11.75

Therefore, the plant's height after 30 months will be 11.75 m.

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volumes (cm)^3 of 20 brains have a mean of 1120.6cm^3 and a standard deviation of 124.5cm^3. use the given standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or significantly high. would a brain volume of 1389.6^3 be significantly high ? is 1389.6^3 significantly high? what are the significantly low values or lower and what are the significantly higher values.

Answers

The significantly low values are:

Lower than 871.6 cm³.

The significantly high values are:

Higher than 1369.6 cm³.

Hence a volume of 1389.6 cm³ is significantly high, as it is more than 2 standard deviations from the mean.

What is the range rule of thumb?

The range rule of thumb states that measures that are more than two standard deviations from the mean in a data-set are considered unusual.

Considering the mean and the standard deviation for this problem, the bounds are given as follows:

Significantly low: Lower than 1120.6 - 2 x 124.5 = 871.6 cm³.Significantly high: Higher than 1120.6 + 2 x 124.5 = 1369.6 cm³.

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Points D, B, and E are collinear. Find the value of a so that points A, B, and C are
collinear.

Answers

Because x is 6, points A, B, and C are collinear.

What is intersecting lines?

The intersection of two lines in Euclidean geometry can be the empty set, a point, or another line. Distinguishing these cases and locating the intersection have applications in computer graphics, motion planning, and collision detection, among others. The intersecting lines are two lines that share exactly one common point. The intersecting lines have a point in common. The point of intersection is the common point that exists on all intersecting lines. When two or more lines intersect in a plane, they are referred to as intersecting lines. The intersecting lines share a common point, which exists on all of them and is known as the point of intersection.

Here,

Since the opposite angle are equal in intersecting lines,

42=7x

x=6

The value of x is 6 so that points A, B, and C are collinear.

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A projectile is launched from ground level with an initial velocity of feet per second. Neglecting air​ resistance, its height in feet t seconds after launch is given by . Find the​ time(s) that the projectile will​ (a) reach a height of 192 ft and​ (b) return to the ground when 112 feet per second.

Answers

The time(s) that the projectile will​ (a) reach a height of 192 ft is 4 seconds  and (b) return to the ground when is 8 seconds

What is time?

Time is the continued sequence of existence and event that can occur in an apparently inevitable succession from the past through the present

The set height, s=192

(a) 192=-16t²+112t

-16t^2+112t-192=0

-t^2+8t-16=0

t^2-8t+16=0

(t-4)(t-4)=0

t=4 twice

The projectile will reach a height of 192ft after 4 sec on the way up and after 4 sec again  on the way down

..

Also, set height, s=0

(b) -16t^2+128t=0

-t^2+8t=0

-t(t-8)=0

t=0 (reject)

or

t=8

The projectile will return to the ground after 8 sec

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Correct question:

A projectile is launched from the ground with an initial velocity of V0 feet per second. Neglecting air resistance, its height in feet per seconds after launch is given by s = -16t^2 +V0t. Find the time(s) that the projectile will

(a) reach a height of 192ft and

(b) return to the ground when V0= 112 feet per second.

HELP WANTED TYY!!! Charlie has two different-sized vases for flowers. The dimensions of his small vase with a diameter of 6 cm are shown below.

A vase shaped like a cylinder is shown. A dashed line drawn across the bottom of the vase is labeled six centimeters. The height of the vase is labeled twenty-one centimeters.

His large vase has the same height as the small vase, but its diameter is 2 times greater. How do the volumes of Charlie’s two flower vases compare? Use 3.14 for π.

Select the answers from the drop-down lists to correctly complete each sentence.

The volume of his large vase is ________ = A) 2,373.84 B) 593.46 C) 791.28
D) 1582.56 cm^3.

This is _______ = A) 4 B) 2 C) 3
times the volume of his small vase.

Answers

The volume of his large vase is 2,373.84cm^3 (option A)

The is 4 times the volume of the small verse. (option A)

What is the volume of the large verse?

A cylinder is a three-dimensional object. It is a prism with a circular base.

volume of a cylinder = nr^2h

Where:

π = 3.14r = radius = diameter / 2 h = height

Radius of the small verse = 6/2 = 3 cm

Volume of the small verse = 3.14 x 3² x 21 = 593.46 cm³

Radius of the large verse = (2 x 6) / 2 = 6cm

Volume of the large verse = 3.14 x 6² x 21 = 2,373.84 cm³

Difference in volumes =  2,373.84 cm³/  593.46 cm³ = 4

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1.02 quiz what is the minimum of the sinusoidal?

Answers

Answer:

The function's minimal value is m = A |B|. When either sin x or cos x is equal to 1, this minimum is reached. Create a graph for the first example, y = 1 + 2 sin x.

Step-by-step explanation:

The average car sold from dealership a is $25,700.if the salesperson receives 1.5%commission on the price of the car ,how much commission is made on the average car sold

Answers

Answer: $385.50

Step-by-step explanation: 25,700x1.5% = 385.50

An airplane travels 4466 kilometers against the wind in 7 hours and 5866 kilometers with the wind in the same amount of time. What is the rate of the plane in still air and what is the rate of the wind? Note that the ALEKS graphing calculator can be used to make computations easier. Rate of the plane in still air: Rate of the wind: km h km h 010 S​

Answers

The Rate of plane in still air and rate of wind is 738 , 100 respectively .

What is Linear equation ?

Linear equation can be defined as the equation in which the highest degree is one

Given ,

An airplane travels 4466 kilometers against the wind in 7 hours and 5866 kilometers with the wind in the same amount of time.

Let speed of plane be Vp and Va

Now,

Vp - Va  = 4466 / 7

Vp+Va = 5866 / 7

So, Evaluating the equations,

we get,

2Vp = (4466+5866) / 7

Vp = 1476 / 2

Vp = 738

So substitute Vp =738 in Vp-Va = 4466/7

738 - Va = 638

Va = 738 - 638

Va = 100.

Hence, The Rate of plane in still air and rate of wind is 738 , 100 respectively .

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which of the following is most likely to contribute to a statistically significant but clinically meaningless value

Answers

When an occurrence is so common that it shouldn't be the result of chance or external influences on the study, it is said to be "statistically significant."

Different clinical significance exists. It alludes to tangible results. It frequently refers to the actual impact of a medical problem (or medical treatment) on a patient's health. The effects of a medicine are clinically meaningful if they provide alleviation. A medical problem is also considered clinically significant if it affects a patient's quality of life or expected lifespan.

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Cathy saves 4/5 of the money she earns from her part-time job. How much does she save when she makes $140?

Answers

Step-by-step explanation:

Money she makes=$140

since she saves 4/5 of the money she earns that means that: 4/5×140 = $32

This means that she saves $32 out of $140 she makes or earn

Other Questions
PLEASE HELP ME !!In 57 complete sentences, summarize your Module One short story. Give specific details about the exposition, rising action, climax, falling action, and resolution. Your response should address each element of plot. The short story is Hamadi which of the following describes fluorescein angiography? a. anterior eye structures are microscopically examined with a slit lamp instrument. b. contrast that is injected intravenously shows the blood's movement on otoscopy. c. external ear structures are microscopically examined with a slit lamp instrument. d. contrast that is injected intravenously shows the blood's movement on ophthalmoscopy. How does this excerpt about the funeral of Caesar Augustus differ from the text he wrote about himself in the previous source? Cite examples from the texts. TRUE OR FALSE a long-arm statue allows a state to obtain jurisdiction over a nonresident defendant when the nonresident defendant has sufficient contacts with the state. Which expression represents the correct form for the quotient and remainder, written as partial fractions, of8x-21-67x-24?2x-x-21 Suppose your MP3 player contains 100 songs. 10 of those songs ae by your favorite group (say U2). Suppose the shuffle feature is used to play the songs in random order: What is the probability that the first U2 song heard is the Sth song played? What is the probability that one of the first five songs played is U2 song? assuming sales equals production, and beginning and ending inventories are zero, the amount of net income determined for an accounting period will be the same regardless of whether the income statement is prepared under a contribution margin format used in managerial accounting or the product costing format use in financial accounting. this statement is there i 2 worker, one can make a houe in 2 day the other one can make houe in 3 day, if they work together how much day it take them to make a houe have been generated by a linear function? development is the pattern of movement or change that #1.) 3% of $400 is what number?#2.) 30% of 11.5 is what number?#3.) 2% of $3,350 is what number?#4.) 534 is what percent of 600?#5.) 70 is what percent of 700?show all your work!!! texas Declaration of Independence (modified) TRUE OR FALSE a project manager understands the importance of understanding individual motives, and takes the time to ask each team member what he or she personally wants from being involved in the project. Scarce rainfall prompted Western farmers to use new agricultural techniques known as ______ farming, which maximized the use of limited fresh water. Which of the following is not a reason why being in a good mood tends to increase pro-social behavior?a. Helping prolongs good moodsb. Good moods increase how much attention we pay to ourselves, which makes up more likely to act according to our valuesc. Good moods make us pay more attention to the possible rewards for helpingd. Good moods make us view situations more positively, and thus we are more likely to give people the benefit of the doubt incorporating paraphrasing restating or generating History what symbol is this Use vector arrows to represent the velocity of a car that travels north at 50 mi/h and then travels east at 25 mi/h. alfred undergoes a change in this book. donatelli also undergoes a similar change. in your essay, discuss alfred's attitude in the beginning of the book and how it changes by the end. explain how donatelli's change is similar to alfred's change. finally, discuss what they both learn and how their lives are different by the ending of the story. with an introduction and conclusion, this is a five-paragraph essay. according to schurz, what was the economic and social condition of the south following the civil war? g what has emancipation accomplished? what still needed to be accomplished?