What is the slope of the line passing through the points (2, 5) and (0, -4)?

9/2
2/9
-9/2
-2/9

Answers

Answer 1

Answer:

9/2

Step-by-step explanation:

Slope of line=rise/run=

y2-y1/x2-x1

Where

x1=2

x2=0

y1=5

y2= -4

Slope =(-4-5)/(0-2)

Slope=-9/-2

Slope=9/2

Answer 2

Answer:

look at the picture shown

What Is The Slope Of The Line Passing Through The Points (2, 5) And (0, -4)?9/22/9-9/2-2/9

Related Questions

Find the number of terms of this polynomial. 5x^2 + 3x - 4 (2 point)
Number of terms:

Answers

There are three terms in polynomial

Solution:

Given polynomial is:

[tex]5x^2+3x-4[/tex]

We have to find the number of terms in polynomial

A term can be a signed number, a variable, or a constant multiplied by a variable or variables

When a term is made up of a constant multiplied by a variable or variables, that constant is called a coefficient.

Therefore, terms in polynomial are:

[tex]5x^2+3x-4\\\\Terms: 5x^2 \text{ and 3x and -4 }[/tex]

Thus there are three terms in polynomial

What is –36° converted to radians?
Negative 5 pi
Negative StartFraction 5 Over pi EndFraction
Negative StartFraction pi Over 5 EndFraction
Negative one-fifth

Answers

Option c: [tex]-\frac{\pi}{5}[/tex] is the correct answer.

Explanation:

The given degree is –36°

Since, [tex]1^{\circ}=\frac{\pi}{180}[/tex]

The radian of –36° can be determined by multiplying it with [tex]\frac{\pi}{180}[/tex]

Thus, the degree can be converted into radians, by multiplying the degree with [tex]\frac{\pi}{180}[/tex]

Hence, it can be written as

[tex]-36^{\circ} \times \frac{\pi}{180}[/tex]

Multiplying, we get,

[tex]\frac{-36^{\circ} \pi}{180}[/tex]

Dividing, we have,

[tex]-\frac{\pi}{5}[/tex]

Thus, the radian of -36° is [tex]-\frac{\pi}{5}[/tex]

Answer:

the answer is c

Step-by-step explanation:

What inequality describes the situation?
5. Let t = the amount Thomas earned. Thomas earned $49 or more. (1 point)
Ots49
ta 49
Ot> 49
Ot<49

Answers

Answer:

[tex]t \geqslant 49[/tex]

Step-by-step explanation:

If Thomas earned $49 OR more, therefore he could have earned either $49 or greater. Please mark brainliest! : )

Final answer:

The inequality that describes the situation is t >= 49. This means that the amount Thomas earned, represented by the variable t, is greater than or equal to $49.

Explanation:

The inequality that describes the situation is t >= 49.

This means that the amount Thomas earned, represented by the variable t, is greater than or equal to $49.

For example, if Thomas earned $49, the inequality is true. If Thomas earned more than $49, the inequality is also true.

Learn more about Inequality here:

https://brainly.com/question/32625151

#SPJ2

The quotient of the complex # below (7-2i)/(4 +3i)

Answers

Answer:

Step-by-step explanation:

hello :

(7-2i)/(4 +3i)

=(7-2i)×(4-3i)/(4 +3i)×(4-3i)

but : (7-2i)×(4-3i) =28-21i-8i+6i²

(7-2i)×(4-3i) = 22-29i   ....i² = -1

(4 +3i)×(4-3i) = 4²-(3i)²...(identity)

                   = 16+9 =25

so :

(7-2i)×(4-3i)/(4 +3i)×(4-3i)

=(22-29i)/25

(7-2i)/(4 +3i) = 22/25 -29/25i

(form : a+ib)

Final answer:

To divide complex numbers, multiply the numerator and denominator by the conjugate of the denominator.

Explanation:

To divide complex numbers, we need to multiply the numerator and denominator by the conjugate of the denominator. The conjugate of 4 + 3i is 4 - 3i. So, we have ((7 - 2i) * (4 - 3i)) / ((4 + 3i) * (4 - 3i)).

Multiplying the numerators and the denominators, we get (28 - 21i - 8i + 6i^2) / (16 - 12i + 12i - 9i^2).

This simplifies to (28 - 29i - 6) / (16 + 9).

Finally, dividing the real parts and the imaginary parts separately, the quotient is:

Quotient = (22 - 29i) / 25

Learn more about Complex Numbers here:

https://brainly.com/question/33170548

#SPJ2

How many inches are in 43 yards

Answers

There are 1548 inches in 43 yards

Answer:

1548

Step-by-step explanation:

Their are 36 inches in a yard multiply by 43 it’s 1548

A random sample of 10 subjects have weights with a standard deviation of 11.6118 kg. What is the variance of their weights? Be sure to include the appropriate units with
the result.
The variance of the sample data is_
(Round to four decimal places as needed.)

Answers

Final answer:

To find the variance of the weights from the given standard deviation of 11.6118 kg, you square the value of the standard deviation, resulting in a variance of 134.9143 kg^2.

Explanation:

The question pertains to finding the variance of the weights from a given standard deviation. The standard deviation provided is 11.6118 kg. Variance is calculated as the square of the standard deviation, which helps in understanding the dispersion of a dataset relative to its mean. To calculate the variance, you square the value of the standard deviation.

Variance = Standard Deviation2

Thus, Variance = (11.6118 kg)2 = 134.9143 kg2. Therefore, the variance of their weights is 134.9143 square kilograms, rounded to four decimal places as required.

What is the value of x?

Answers

Answer:

15

Step-by-step explanation:

Because if you draw a line straight just like the one below the x, it will connect to the 15.

Answer:

18

Step-by-step explanation:

Because you add 9 more angles to the smaller triangle

I need some help here??

Answers

x = 11 (or) x = –13

Solution:

Theorem:

If three or more parallel lines are cut by a transversal then they divide the transversals proportionally.

Given lines l, m, n are parallel lines cut by a two transversal lines.

Therefore, they are in proportion by the above theorem.

[tex]$\Rightarrow\frac{x+5}{10}=\frac{12.8}{x-3}[/tex]

Do cross multiplication.

[tex]$\Rightarrow(x+5)\times(x-3)=12.8\times10[/tex]

[tex]$\Rightarrow x^2+5x-3x-15=128[/tex]

[tex]$\Rightarrow x^2+2x-15=128[/tex]

Arrange all terms in one side.

[tex]$\Rightarrow x^2+2x-15-128=0[/tex]

[tex]$\Rightarrow x^2+2x-143=0[/tex]

[tex]$\Rightarrow x^2-11x+13x-143=0[/tex]

Take common terms outside

[tex]$\Rightarrow x(x-11)+13(x-11)=0[/tex]

[tex]$\Rightarrow (x-11)(x+13)=0[/tex]

[tex]$\Rightarrow (x-11)=0\ \text{(or)}\ (x+13)=0[/tex]

x = 11 (or) x = –13

Hence x = 11 (or) x = –13.

dividing fractions
21/32 ÷ 3/5​

Answers

Answer:

105/96

Step-by-step explanation:

Answer:

In dividing fractions, you do the inverse. (Also called the reciprocal.)

So take that attachment you attached as a example.

21           3            21               5

----    ÷   ----  =     ------     ÷    ------

32          5           32               3

Another reminder, when you find the reciprocal, you now multiply instead of divide. (Do not question the math world. I questioned it, and I paid the price. TnT)

So 21/32 multiplied by 5/3 would be....

21              5             105

-----    ×   -----    =      -------

32             3              96

You could leave it that way, or simplify it.

Simplest form is-

1 3/32

Non-simplified form is-

105/96

Good night and have a good day~

(Well at least, I'm going to sleep)

   

how do the real solution of a quadratic equation show on a graph of that equation?​

Answers

Answer:

They show as intersections with the x-axis

Step-by-step explanation:

For example, the quadratic y = x² - 1 has roots x = -1 and x = 1.

They show on the graph as intersections of the parabola with the x axis at x = -1 and x = 1.

if you have 108 inches of wood to make a picture fram what is the greatest area if a = -w2 + 54w

Answers

Answer:

The greatest area possible is 729[tex]inch^{2}[/tex]

Step-by-step explanation:

i) If a = [tex]-w^{2} + 54w[/tex] where w is the width of the picture frame

  differentiating on both sides we get

  [tex]\frac{da}{dw} = -2w + 54[/tex]

Differentiating the above again on both sides we get   [tex]\frac{d^2a}{dw^2}[/tex]  = -2

 Since the second order derivative is negative then we can get the solution for the maximum area by equating the fist order derivative equation to 0.

 Therefore -2w + 54 = 0     therefore w  = 27.

ii) If we substitute w = 27 into the equation in ii) we get

   a  = [tex]-(27)^2 +(54\times 27)[/tex] = (54 - 27) [tex]\times[/tex](27)  = [tex]27^{2}[/tex] = 729

pls, help!!!!!!!!!!!!!!!!!!!!! I need help with the problem. I'm stuck!!!!! Write an inequality from this sentence. Kevin sells at most $60 worth of drinks in the concession stand.

Answers

Answer:

i) let x be the amount of money worth of drinks that Kevin sold.

ii) Kevin sells at most $60 worth of drinks.

iii) therefore the inequality can be written as

   x ≤ $60

Step-by-step explanation:

i) let x be the amount of money worth of drinks that Kevin sold.

ii) Kevin sells at most $60 worth of drinks.

iii) therefore the inequality can be written as

   x ≤ $60

Bananas cost .89cents, I have $11.75, how many bananas can I buy?

Answers

You could buy 13 bananas.

Answer: you will be able to buy 13.20224719101124 bananas.

a 3 cm x 10 cm rectangle sits inside a circle with radius of 12 cm what is the area of the shaded region

Answers

Answer:

Step-by-step explanation:

Since the rectangle sits within the larger circle, let's look at it this way:

Area of Shaded Region = Area of Circle - Area of Rectangle

OR

(X) =( pi * r^2 ) - (rectangle length * rectangle width)

Now we fill in the numbers where we know the numbers:

(X) = (pi * (12 cm)^2) - (3cm * 10cm)

(X) = (pi * 144cm^2) - (30 cm^2)

(X) = 144pi - 30

(X) = 452.39 - 30

(X) = 422.39 cm^2

Take the area of the circle and subtract that with the area of the rectangle.

Area of circle= pi*r^2

Area of circle= pi*12^2

Area of circle=144pi

Area of circle= 452.16 cm^2

Area of rectangle: b*h

Area of rectangle: 10*3

Area of rectangle: 30 cm^3

452.16-30=422.16

So the area of the shaded region is 422.16 cm^2

Hope this helped!

Solve. 5a−12=−2 plzz help

Answers

Answer:

a=2

Step-by-step explanation:

Given:                 5a-12=-2

Isolate Variable: 5a=10

Divide:                 a=2

Answer:

5a - 12= -2

5 x 2= 10 so,

5(2) - 12= -2

 ^

10-12= -2

The value of the expression when n=2 is

Answers

Answer:

2/3

Step-by-step explanation:

Which set of numbers could represent the lengths of the sides of a right triangle?
8, 15, 17
10, 15, 20
12, 18, 22
7,9, 11

Answers

Answer:

The first set: 8, 15, and 17.

Step-by-step explanation:

Pair: 8, 15, 17

By the pythagorean theorem, a triangle is a right triangle if and only if

[tex]\text{longest side}^2 = \text{first shorter side}^2 + \text{second shorter side}^2[/tex].

In this case,

[tex]\text{longest side}^2 = 17^2 = 289[/tex].

[tex]\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= 8^2 + 15^2\\ &=64 + 225 = 289 \end{aligned}[/tex].

In other words, indeed [tex]\text{hypotenuse}^2 = \text{first leg}^2 + \text{second leg}^2[/tex]. Hence, 8, 15, 17 does form a right triangle.

Similarly, check the other pairs. Keep in mind that the square of the longest side should be equal to the sum of the square of the two

Pair: 10, 15, 20

Factor out the common factor [tex]2[/tex] to simplify the calculations.

[tex]\text{longest side}^2 = 20^2 = 400[/tex]

[tex]\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= 10^2 + 15^2\\ &=100 + 225 = 325 \end{aligned}[/tex].

[tex]\text{longest side}^2 \ne \text{first shorter side}^2 + \text{second shorter side}^2[/tex].

Hence, by the pythagorean theorem, these three sides don't form a right triangle.

Pair: 12, 18, 22

[tex]\text{longest side}^2 = (2\times 11)^2 = 2^2 \times 121[/tex].

[tex]\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= (2 \times 6)^2 + (2 \times 9)^2\\ &=2^2 \times(36 + 81) = 2^2 \times 117 \end{aligned}[/tex].

[tex]\text{longest side}^2 \ne \text{first shorter side}^2 + \text{second shorter side}^2[/tex].

Hence, by the pythagorean theorem, these three sides don't form a right triangle.

Pair: 7, 9, 11

[tex]\text{longest side}^2 = 11^2 = 121[/tex].

[tex]\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= 7^2 + 9^2\\ &=49+ 81 = 130 \end{aligned}[/tex].

[tex]\text{longest side}^2 \ne \text{first shorter side}^2 + \text{second shorter side}^2[/tex].

Hence, by the pythagorean theorem, these three sides don't form a right triangle.

x + y = 3
3x + 2y = 14

Answers

The solution is x = 8 and y = -5

Solution:

Given system of equations are:

x + y = 3 ------ eqn 1

3x + 2y = 14 ------ eqn 2

We have to find the solution to the equations

We can use substitution method to solve

From eqn 1,

x + y = 3

Isolate for "x"

x = 3 - y ------ eqn 3

Substitute eqn 3 in eqn 2

3(3 - y) + 2y = 14

9 - 3y + 2y = 14

-y = 14 - 9

-y = 5

y = -5

Substitute y = -5 in eqn 3

x = 3 - (-5)

x = 3 + 5 = 8

x = 8

Thus the solution is x = 8 and y = -5

BRAINLIEST PLEASE HELP!!
Determine whether the sequence is arithmetic with a common difference or sequence is geometric with a common ratio. Then select the correct answer from the choices below. 9,12,16,21 1/3,

Answers

Answer:

Geometric with common ration of 4/3

Step-by-step explanation:

12/9=4/3

16/12=4/3

The answer is geometric with common ration of 4/3 hope this helps!

At midnight the temperature is -6°C. At midday the temperature is 9°C. By how much did the temperature rise?

Answers

The temperature increased by 15°C.

What is the temperature?

Temperature is a physical quantity that expresses the perceptions of hotness and coldness

 

Given that at midnight the temperature is -6°C. At midday the temperature is 9°C. Therefore, the difference in the temperature can be written as,

The difference in temperature

= Temperature in Midday - Temperature at midnight

= 9°C - (-6° C)

= 15° C

Therefore, The difference in the temperature is 15°C.

To know more about temperature click on the link below:

https://brainly.com/question/11464844

#SPJ2

Zachary's family traveled 3/10 of the distance to his aunts house. They traveled 3/7 of the remaining distance. What fraction of the total was traveled to his aunts house

Answers

Answer:

1 - 3/10 = 7/10 of the distance left

(3/7)(7/10) = 3/10 of the total distance

Zachary's family traveled [tex]\( \frac{51}{70} \)[/tex] of the total distance to his aunt's house.

To find the fraction of the total distance traveled to Zachary's aunt's house, we need to combine the distances traveled and express it as a fraction of the total distance.

Given:

1. Zachary's family traveled [tex]\( \frac{3}{10} \)[/tex] of the total distance to his aunt's house.

2. Then, they traveled [tex]\( \frac{3}{7} \)[/tex] of the remaining distance.

Step 1: Calculate the total distance traveled by combining the two distances.

[tex]\[ \text{Total distance traveled} = \frac{3}{10} + \frac{3}{7} \][/tex]

Step 2: Find a common denominator for [tex]\( \frac{3}{10} \) and \( \frac{3}{7} \).[/tex] The least common multiple (LCM) of 10 and 7 is 70.

Step 3: Rewrite the fractions with the common denominator of 70.

[tex]\[ \frac{3}{10} = \frac{3 \times 7}{10 \times 7} = \frac{21}{70} \][/tex]

[tex]\[ \frac{3}{7} = \frac{3 \times 10}{7 \times 10} = \frac{30}{70} \][/tex]

Step 4: Add the fractions:

[tex]\[ \frac{21}{70} + \frac{30}{70} = \frac{21 + 30}{70} = \frac{51}{70} \][/tex]

Therefore, Zachary's family traveled [tex]\( \frac{51}{70} \)[/tex] of the total distance to his aunt's house.

What's 10 percent of 80




Answers

Answer:

8

Step-by-step explanation:

[tex]\frac{is}{of} = \frac{percent}{100}[/tex]

[tex]\frac{x}{80} = \frac{10}{100}[/tex]

80x10 = 800

800 = 100x

800 divide 100 = 8

answer = 8

Hope this helped!! :)

10/100 x 80/1
=1x8
=8

negative 5 and 3/4 multiplied by 8/23

Answers

Answer:

[tex] - 5 \frac{3}{4} \times \frac{8}{23} = - \frac{23}{4} \times \frac{8}{23} = - 2[/tex]

if the function f(x) has a domain of -2≤x≤8 and a range of -4≤y≤6 and the function g(x) is defined by the formula g(x)= 5f(2x) then what are the domain and range of g. explain your thought process

Answers

Answer:

Domain: -1 ≤ x ≤ 4

Range: -20 ≤ 5f(2x) ≤ 30

Step-by-step explanation:

Inputs of f are between -2 and 8

Input is now 2x, so

-2 ≤ 2x ≤ 8

-1 ≤ x ≤ 4

(Horizontal stretch, factor 1/2)

Range of f is -4 ≤ y ≤ 6

So,

-20 ≤ 5y ≤ 30

(Vertical stretch, factor 5)

The domain of g(x) is [-1, 4].

The  range of g(x) is [-20, 30].

What is a function?

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Domain of f(x) = [-2, 8]

Range of f(x) = [-4, 6]

g(x) = 5 f(2x)

Since -2 ≤ x ≤ 8 and -2 ≤ 2x ≤ 8 = -1 ≤ x ≤ 4.

The domain of g(x) = [-1, 4]

Now,

The range of g(x) = [-20, 30]

Since -4 ≤ y ≤ 6,

5 x (-4) ≤ 5y ≤ 5 x 6

-20 ≤ 5y ≤ 30

Thus,

The domain and range of g(x) are

[-1, 4] and  [-20, 30].

Learn more about functions here:

https://brainly.com/question/28

#SPJ2

I don't think anyone will respond to a good attempt​

Answers

The answer is gonna be 15

I think the answer may be 15 but I’m not positive

The population of Birmingham is 1,274,589. What is the value of the 7?

Answers

Answer:

70,000

Step-by-step explanation:

Final answer:

In the population number 1,274,589 for Birmingham, the 7 is in the ten thousands place. Therefore, its value is 70,000.

Explanation:

This problem revolves around understanding of place values in Mathematics. Specifically, we are asked

what is the value of 7

in the population number 1,274,589 for Birmingham. A critical observation is that each position of a digit in a number has a different value. Counting from right (or the ones position) to left, we find that the number 7 is in the ten thousands place. Therefore, the value of 7 in this number is actually 70,000.

Learn more about Place Value here:

https://brainly.com/question/35447631

#SPJ3

40 points please help

Problem:

The altitude of an airplane descending to the airport is represented by the equation shown below, where y represents the altitude, in feet, of the airplane and x, represents the number of minutes after descending.

y = -500x + 28,000



Part A:

What is the altitude of the airplane after 5 minutes? after 30 minutes? Show your work then write your answers as ordered pairs (x,y).

Part B:

Create a table for the values when x = 0, 5, 8, 10, 30.

Part C:

Which ordered pair (from the table in part B) represents the initial value? What does the initial value represent in this problem? (1-2 sentences)

Part D:

What is the rate of change in this equation? What does the rate of change represent in this problem? (1-2 sentences)

Answers

answer:

im not sure. what is ur question

step-by-step explanation:

Ms. Ruiz is 9 years older than 6 times as many years old as Carlos. Ms. Ruiz is 57 years old.

Answers

Answer:

Carlos is 8

Step-by-step explanation:

I solved this by subtracting 9 from her age, which gets rid of that. 57-9=48

Carlos is 48/6 years old, or 8

Answer:

The answer is 8

Step-by-step explanation:

blairs new computer cost 5$ less than twice the cost og her old computer. Her new computer cost 709$. how much did blairs old computer cost?


i need help asap! i will mark brainliest answer and i will give 5 stars for the answer! thank you :)

Answers

The cost of old computer is $ 357

Solution:

Let "x" be the cost of old computer

From given,

Cost of new computer = $ 709

Blairs new computer cost 5$ less than twice the cost of her old computer

Therefore,

Cost of new computer = twice the cost of old computer - 5

Cost of new computer = 2x - 5

709 = 2x - 5

2x = 709 + 5

2x = 714

Divide both sides by 2

x = 357

Thus the cost of old computer is $ 357

Answer:

$357

Step-by-step explanation:

709=2x-5      

+5           +5

cross the right column out

709+5 = 714

714=2x

divide 714 by 2 and get 357

HOPE THIS HELPS!!!

does anyone know the answer.

What is the inverse of the following statement?

If ∆ABC is equilateral, then it is isosceles.


A. If ∆ABC is not equilateral, then it is not isosceles.


B. If ∆ABC is isosceles, then it is equilateral.


C. If ∆ABC is equilateral, then it is isosceles.


D. If ∆ABC is not isosceles, then it is not equilateral.

Answers

Answer:

it's A.

Step-by-step explanation:

eqilateral means allsides equal while isosceles means two sides are equal.

Answer:

A

Step-by-step explanation:

Other Questions
Rovermand Corporation is a small organization in which each member of the company is clear about his or her responsibility and whom he or she must report to. The best feature of the organization is the quick decision making, owing to its simple and direct chain of command. In the context of organization models, Rovermand Corporation is a _____ organization.a. parallelb. matrixc. lined. front Is y=-3x^2 +10 a function Which country was the first to adopt a democratic system of government?A. RomeB. Greecec. BritainD. ChinaE.India Let kids denote the number of children ever born to a woman, and let educ denote years of education for the woman. A simple model relating fertility to years of education is: kids= o+ 1.educ + , where is the unobserved error. a. What kinds of factors are contained in ? Are these likely to be correlated with level of education? b. Will a simple regression analysis uncover the ceteris paribus effect of education on fertility? Explain What mass of strontium nitrate (Sr(NO3)2) would be required to prepare 2.000 L of a 0.0150 M aqueous solution of this salt? it was economically necessary for east germany to build the berlin wall because millions of east germans, many who were trained workers and professionals, were leaving east berlin for freedom in west berlin. the east german economy was on the verge of collapse.TRUE OR FALSE What kind of pollution might cause whales and dolphins to strand on beaches? A uniform plank of length 6.1 m and mass 33 kg rests horizontally on a scaffold, with 1.6 m of the plank hanging over one end of the scaffold. L l x How far can a painter of mass 60 kg walk on the overhanging part of the plank x before it tips? The acceleration of gravity is 9.8 m/s 2 . Answer in units of m. Paper was first used in which of these classical civilizations?OA. The Mauryan Empire) B. Greek city-statesOC. The Roman EmpireOD. Han China Lin's father is paying for a $20 meal. He has a 15%-off for the meal. After the discount, a 7% sales tax is applied. What does Lin's father pay for the meal? Students for a Democratic Society (SDS) was an activist organization in the 1960s that protested the Vietnam War, racial injustice, and economic exploitation. For the most part, the organization favored direct action and protest, but a small faction attempted to realize change through conventional politics. This faction was never very popular within the group, most of which opposed traditional organizing and politics and sought a radically new form of social organization. Based on this information, you could say that members of SDS were part of a:a.counterculture.b.subculture.c.ethnocentric group.d.popular culture organization.e.movement for cultural diffusion. Counselors who help victims to understand the operations of the criminal justice system, who guide victims through the justice process, and who may provide transportation to and from court are called victim Scientists enroll 500 healthy adults in a study and collect dietary and other lifestyleinformation about the group. After 6 years, the scientists determine that study participantswho ate at least 5 servings of fruits and vegetables daily were less likely to develop highblood pressure than participants who ate fewer than 5 servings of these foods daily. This studyis an example of a(n) ____ study.A. prospectiveB. nutritiveC. retrospectiveD. introspective Suppose that your employee Richard has been having trouble with the paperwork he must do for his job. Your goal is for the employee to improve his performance; i.e. decrease his rate of errors. You are considering two approaches: Option 1 is to spend time with Richard every day helping him with his job and appreciating him every time he performs well. This is an appealing option to Richard because he appreciates the attention and sees it as a reward. Option 2 is to tell Richard that he would not be entitled to any incentive until his performance improves. Option 1 in the scenario above is an example of____________.a. negative reinforcement.b. extinction.c. punishment.d. none of the abovee. positive reinforcement. Cobalt-60 is a radioactive isotope used to treat cancers. A gamma ray emitted by this isotope has an energy of 1.33 MeV (million electron volts; 1 eV = 1.602 x 10 J). What is the frequency (in Hz) and the wavelength (in m) of this gamma ray? Owners of individual domains get to decide what content is published on their websites. Why might this autonomy be important to the development of the Internet? How or why does autonomy scale? 4x-4y=0Y=2x+6Solve by substitution difference between Herbert Hoover's and Franklin Roosevelt's political philosophies Triangle LAQ has side lengths of 9, 20, and 15. Classify the triangle by its sides.scalene triangleequilateral triangleisosceles trianglescalar triangle Subtract. Express your answer in lowest terms 10 2/5 - 3 4/5