What is an algebraic expression for this word phrase? 7 more than the product of 5 and n

Answers

Answer 1

a. 5 + 7n is the algebraic expression for 7 more than the product of 5 and n

How is this determined?

The expression needed to indicate the value of 5 added to the product of 7 and n is "5 greater than the product of 7 and n."

The equation 7n represents the product of 7 and n, and the expression 5 + 7n is obtained by adding 5 to 7n.

This is the proper algebraic expression for the phrase that was given.

It follows that 5 + 7n = 5 + 21 = 26, which is 5 more than the sum of the products of 7 and 3. As an illustration, if we substitute a value of 3 for n, the expression 7n would equal 21.

Because option b is a product of 5 and (7+n), which is not equivalent to 5 greater than the product of 7 and n, the other choices are incorrect.

The product of option c and (5+n) is 7, but it also does not equal 5 greater than the product of 7 and n.

A sum of 5, 7, and n makes up option d, which also does not equal 5 greater than the result of the product of 7 and n.

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Related Questions

Ash has 4 dounts and she ate 2/7 of the dounts, So how much dounts have she eaten? I NEED HELP ASAP! I’ll give brainlest!

Answers

Answer: Ash has eaten 2/7 of her 4 donuts, which is equal to 8/7 or approximately 1.143 donuts.

Factor x^2-10x+16. Which of the following is one of the factors?
- (x - 2)
- (x + 4)
- (x + 2)
- (x - 4)

Answers

The answer is (x+4)

Does anyone know what this is

Answers

The value of m from the exponent is 35.

What are Exponents and powers?

Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner.

For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as [tex]3^4[/tex], where 4 is the exponent and 3 is the base.

Given:

[tex](x^m)[/tex]³ = [tex](x^{13) ^5[/tex] x [tex](x^{-8}) ^{-5}[/tex]

Now, solving the exponents

[tex](x^m)[/tex]³ = [tex](x^{65})[/tex] x [tex](x^{40}) }[/tex]

Now, using the property

[tex]x^m . x^n = x^{m+n}[/tex]

So, [tex](x^m)[/tex]³ = [tex](x^{65+ 40})[/tex]

[tex](x^{3m})[/tex] = [tex](x^{105})[/tex]

Now, comparing the base

3m = 105

m= 105/3

m= 35

Hence, the value of m is 35.

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Homework 1 relations domain range and functions 3-8

Answers

A tables in math is the multiplication table that includes the list of multiples of natural numbers.

Students learn the multiples of a number in math table, which is the foundation of the subject. Multiplication tables have been taught to us since we were in primary school. We may swiftly solve issues involving multiplication with the aid of these math tables. Thus, it is essential for pupils to memorize the math tables 1 through 20, enabling them to complete challenging calculations with ease.

Understanding mathematics requires the use of math tables. It is essential that the pupils have a firm grasp of math tables because failing to do so would make it difficult for them to comprehend other areas of mathematics. Students are likely to struggle with fundamental math concepts like decimals, percentages, fractions, ratios, etc. without even a basic understanding of math tables. Once you have learned these multiplication tables, you will remember them for the rest of your life.

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The domain and range of the function y = 3x + 2 is all real numbers

3. Domain: Real Numbers, Range: Real Numbers, Function: y = x

4. Domain: Real Numbers, Range: Real Numbers, Function: y = x^2

5. Domain: Real Numbers, Range: Real Numbers, Function: y = x^3

6. Domain: Real Numbers, Range: Real Numbers, Function: y = x^4

7. Domain: Real Numbers, Range: Real Numbers, Function: y = x^5

8. Domain: Real Numbers, Range: Real Numbers, Function: y = x^6

The domain and range of the function y = 3x + 2 is all real numbers

the complete question is :

relations domain range and functions 3-8

What is the domain and range of the function y = 3x + 2?

Domain: Real Numbers, Range: Real Numbers

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what is the value of the expression below?
64^2/6

Answers

Answer:

682 2/3

you could do this on a calculator or you could do this by hand, but i kinda used a calculator

(6x - 7) - (2x +5) =

Answers

Answer:

4x-12

Step-by-step explanation:

do -1(2x+5)  -> -2x-5

combine like terms

6x - 7 - 2x - 5  -> 4x -12

Answer:

4(x-3)

Step-by-step explanation:

6x - 7 - 1(2x + 5)

6x - 7 - 2x - 5

6x - 7 - 2x - 5

6x - 12 - 2x

6x - 12 - 2x

4x - 12

4 (x - 3)

ANSWER

4(x- 3)

Solve for c.

852 = 12c

Answers

Answer:

c=71

Step-by-step explanation:

852=12c

852=12x71

Answer:

[tex] \sf \: c = 71[/tex]

Step-by-step explanation:

Given equation,

→ 852 = 12c

Now the value of c will be,

→ 852 = 12c

→ 12c = 852

→ c = 852 ÷ 12

→ [ c = 71 ]

Hence, the value of c is 71.

I WILL FAIL PLSSS HEEELP

you must show and check all work on your own paper.

Explain the error:
144x2 - 100
(12x + 10)(12x - 10)
2(6x + 5)(6x - 5)

Answers

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

The given steps are :

[tex]\qquad \sf  \dashrightarrow \: 144 {x}^{2} - 100[/tex]

[tex]\qquad \sf  \dashrightarrow \: (12x + 10)(12x - 10)[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2(6x + 5)(6x - 5)[/tex]

The error is in third step ~

Correct method :

[tex]\qquad \sf  \dashrightarrow \: (12x + 10)(12x - 10)[/tex]

[ take 2 common out of both ]

[tex]\qquad \sf  \dashrightarrow \:2 (6x + 5) \sdot2(6x - 5)[/tex]

[ 2 times 2 will be 4 ]

[tex]\qquad \sf  \dashrightarrow \: 4(6x +5 )(6x - 5)[/tex]

As a block of ice melts, its weight changes from 1.5 lbs to .25lbs. This change takes a half of an hour. At what rate does the weight of the ice change?

Answers

The weight of the ice changes at the rate of 1.25 lbs. in a half of an hour.

What is rate of change?

How quickly something evolves over time is referred to as its rate of change (ROC).

Given:

As a block of ice melts,

its weight changes from 1.5 lbs to .25lbs.

That means, the total decay,

1.5 + n = 0.25

n = 1.25 lbs.

This change takes a half of an hour.

So, the rate of change,

1.25 lbs. in a half of an hour.

Therefore, the rate of change is 1.25 lbs. in a half of an hour.

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HELP PLEASE ASAP‼️‼️‼️
If you translate the cubic parent function, F(x) = x3, down 7 units, what is the
equation of the new function?
A. H(x) = x³ + 7
B. K(x) = (x+7)³
C. J(x) = (x-7)³
D. G(x) = x3 - 7

Answers

Answer:

f

Step-by-step explanation:

1-used to find the missing side of a right triangle.

2-the amount of space a space takes up.

3-the distance around the outside of a shape.

4-three numbers that form a right triangle.

5-the side of a right triangle that is opposite from the right
angle; the longest side of a right triangle

6-used to prove whether a triangle is a right triangle.

7-to find the diagonal distance on a coordinate plane, create
making the diagonal distance the
hypotenuse.

8-the sides of a right triangle that are adjacent (next to) to
the right angle.

(Pythagorean theoram,perimeter,area,hypotenuse,right triangle,legs,pythagorean triple,pythagorean theorem converse)

Answers

Answer:

1-Pythagorean Theorem

2-Area

3-Perimeter

4-Pythagorean Triple

5-Hypotenuse

6-Pythagorean Theorem Converse

7-Pythagorean Theorem

8-Legs

The Pythagorean Theorem is a mathematical formula used to find the length of the missing side of a right triangle. It states that the sum of the squares of the lengths of the two shorter sides (known as the legs) of the triangle is equal to the square of the length of the longest side (the hypotenuse).

The area of a space refers to the amount of two-dimensional space that it occupies. For example, the area of a rectangle can be found by multiplying its length by its width.

The perimeter is the distance around the outside of a shape, often used in polygons and closed figures.

A Pythagorean triple is a set of three integers a, b, and c that satisfy the equation a^2 + b^2 = c^2. These integers correspond to the three sides of a right triangle, with c being the hypotenuse.

The hypotenuse is the side of a right triangle that is opposite from the right angle and is also the longest side of a right triangle.

The Pythagorean Theorem Converse states that if the sum of the squares of the two shorter sides of a triangle is equal to the square of the length of the longest side, then the triangle is a right triangle.

The Pythagorean Theorem can be used to find the diagonal distance on a coordinate plane. Given the coordinates of two points, the theorem can be used to calculate the distance between them by making the diagonal distance the hypotenuse.

The legs of a right triangle are the two sides of the triangle that are adjacent (next to) to the right angle.

Uday Tahlan

Solution to:

1 - 3x = 3x + 1

Answers

Answer:

x = 0

Step-by-step explanation:

1 - 3x = 3x + 1 ( subtract 3x from both sides )

1 - 6x = 1 ( subtract 1 from both sides )

- 6x = 0 ( divide both sides by - 6 )

x = [tex]\frac{0}{-6}[/tex] = 0

Eli needs to order some new supplies for the restaurant where he works. The restaurant needs at least 546 knives. There are currently 312 knives. If each set on sale contains 10 knives, write and solve an inequality which can be used to determine xx, the number of sets of knives Eli could buy for the restaurant to have enough knives.

Answers

Answer:

The restaurant needs 546 knives and there is 312 knives

The amount remaining is 546-312=234

if each set contains 10 knives

The amount of set remaining is 234/10=23.4 sets

If you wanted to be able to represent every hexadecimal value from 016 to ff16, how many bits would you need?.

Answers

If we want to be able to represent every hexadecimal value from 016 to ff16, the number of bits we need would be 8 bits.

What is hexadecimal?

The term hexadecimal refers to a numbering system in base 16. It can be used to represent large numbers with fewer digits. Most number systems are in decimal or base ten, however, hexadecimal is a type of number system which is in base 16. Hexadecimal has the base ten numbers from 0 to 9 and followed by six alphabetic characters A, B, C, D, E, and F. To represent every hexadecimal value from 016 to ff16, 8 bits will be needed.

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What is social inequality class 9?

Answers

Social inequality in class 9 refers to the unequal distribution of social status, power, and privilege among individuals or groups within a society. It can manifest in various forms, such as discrimination, prejudice, and bias, which can limit opportunities and access to resources for certain groups.

In class 9, social inequality may be discussed in relation to various social issues, such as racial and ethnic inequality, gender inequality, and inequality based on sexual orientation, disability, and age. These issues can have a significant impact on individuals and groups, leading to reduced opportunities, access to resources, and lower quality of life.

Social inequality in class 9 may also be discussed in relation to broader societal issues, such as poverty, unemployment, and lack of access to healthcare and education. These issues can contribute to a cycle of disadvantage and can perpetuate social inequality.

It's worth noting that social inequality is often interconnected with other forms of inequality such as economic and educational inequality, and understanding how these inequalities interact is crucial to understand and address social inequality.

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Need help with this.

Answers

Answer:

a=6, b=59, c=28

Step-by-step explanation:

48/a+9=17       b-10/7=7             0.25c-5=2

48/a+9-9=17-9 7 (b-10/7) =7(7)    0.25c-5+5=2+5

48/a=8             10+ b-10=49+10   0.25c=7

a(48/a) = a (8)        b=59                 0.25c/0.25=7/0.25

48=8a                                            c=28

a=6

Why is 2 and 3 a prime number?

Answers

Yes, number 2 and number 3 represents they are prime number as the number has only two factors one and the number itself.

As given in the question,

Given numbers are equal to :

2 and 3.

Prime numbers are those number which has only two factors one and the number itself.

Prime number does not get exactly divided by any other number except itself and one.

Factors of 2 are as follow :

1 and 2

Factors of 3 are as follow :

1 and 3

Therefore, number 2 and number 3 are considered a prime numbers as both the numbers has only two factors one and the number itself.

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12 ÷ 3 x 4
What do you do first?

Answers

Answer:

do 3*4 then divide by 12

Step-by-step explanation:

the answer is 1 but you multiply first then divide

NEED THIS ASAP!!

Find the solution for −0.4x − 4.15 = x − 1.6 − 2.97.

Answers

The answer is x= 0.3

Answer:

The solution is [tex]x=0.3[/tex]

Step-by-step explanation:

[tex]-0.4x-4.15=x-1.6-2.97[/tex]

Subtract [tex]2.97[/tex] from [tex]-1.6[/tex].

[tex]-0.4x-4.15=x-4.57[/tex]

Subtract [tex]x[/tex] from both sides of the equation.

[tex]-1.4x-4.15=-4.57[/tex]

Add [tex]4.15[/tex] to both sides of the equation.

[tex]-1.4x=-0.42[/tex]

Divide both sides of the equation by [tex]-1.4[/tex].

[tex]x=\frac{-0.42}{-1.4}[/tex]

[tex]x=0.3[/tex]

Polygon ABCD with vertices at A(−4, 6), B(−2, 2), C(4, −2), D(4, 4) is dilated using a scale factor of 1/4 to create polygon A′B′C′D′. Determine the vertices of polygon A′B′C′D′.

A′(−0.8, 1.2), B′(−0.4, 0.4), C′(0.8, −0.4), D′(0.8, 0.8)
A′(−1, 1.5), B′(−0.5, 0.5), C′(1, −0.5), D′(1, 1)
A′(−2, 3), B′(−1, 1), C′(2, −1), D′(2, 2)
A′(−3, 4.5), B′(−1.5, 1.5), C′(3, −1.5), D′(3, 3)

Answers

For polygon ABCD with vertices at A(−4, 6), B(−2, 2), C(4, −2), D(4, 4) after dilation the vertices will be

A′(−1, 1.5), B′(−0.5, 0.5), C′(1, −0.5), D′(1, 1)

How to find the coordinates of the image

Dilation is a method of transformation that magnify or shrink the preimage depending on the scale factor

The transformation rule for dilation is as follows

(x, y) for a scale factor of r → (rx, ry)

following similar procedure for the given problem, for r = 1/4 we have

preimage                                     image

A (-4, 6)   → (1/4 * -4, 1/4 * 6) →   A' (-1, 3/2)

B (−2, 2)   → (1/4 * -2, 1/4 * 2) →  B' (-1/2, 1/2)

C (4, −2)  → (1/4 * 4, 1/4 * -2) →   C' (1, -1/2)

D (4, 4)   → (1/4 * 4, 1/4 * 4)   →  D' (1, 1)

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Answer:

Third Answer Choice....A′(−1, 1.5), B′(−0.5, 0.5), C′(1, −0.5), D′(1, 1)

Step-by-step explanation:

1/4 = 0.25

Multiply by every number

A' = ( -1, 1.5 )
B' = ( -0.5, 0.5 )
C' = ( 1, -0.5)
D' = (1, 1)

If it says its wrong i dont even know whys that, because this is the only way i know that everyone can solve easily

Susan earns $10 per hour tutoring elementary students in math. She also earns $15 per hour cleaning in the library. Her goal
each week is to earn at least $240 while working no more than 20 hours.
Let e represent the number of hours Susan works in one week tutoring elementary students, and let c represent the number of
hours Susan works in one week cleaning the library.
Use the inequalities you chose from the previous question.
Which combinations allow Susan to reach her weekly goal?
Select the three correct combinations.
9 hours tutoring and 10 hours cleaning the library
O 10 hours tutoring and 10 hours cleaning the library
O 11 hours tutoring and 8 hours cleaning the library
12 hours tutoring and 8 hours cleaning the library
13 hours tutoring and 7 hours cleaning the library
O 14 hours tutoring and 7 hours cleaning the library

Answers

Answer: $270

Step-by-step explanation:

you multiply 10.00×9= 90 and then 15.00×10=150 then i took the answer out of both problems and added them. 150+90=240 then i took 240 + 30 = 270

What is an image Grade 7?

Answers

An image is a representation of something that can be seen, such as a picture or drawing.

An image can be thought of as a 2-dimensional array of pixels, where each pixel has a specific color value. Each color value can be represented by numerical values, such as red, green, and blue (RGB) values.

In mathematics, we can think of an image as a function that maps the x and y coordinates of a pixel to its color value. For example, f(x,y) = (R, G, B) where R, G, B are the red, green, and blue values of that pixel.

We can also think of an image as a grid of points, where each point represents a pixel.

It can be a photograph, drawing, graphic, or any other visual representation of something. Images can be created using different techniques, such as painting, drawing, or photography.

They can also be digital, such as a computer-generated image or a photograph that has been scanned into a computer. Images are used in many different fields, such as art, science, advertising, and education.

Images can be found in various forms such as on billboards, posters, books, magazines, newspapers, websites, and social media platforms. They can also be used to communicate information, tell a story, or express an idea.

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What number does π represent?

Answers

We can conclude that (π) represents a irrational & transcendental number.

What are irrational numbers?

An irrational number is a number that cannot be expressed as a fraction p/q for any integers {p} and {q}.

Given is a mathematical constant as {π}.

The number π is a mathematical constant that is the ratio of a circle's circumference to its diameter, approximately equal to 3.14159.It is an irrational number, meaning that it cannot be expressed exactly as a ratio of two integers, although fractions such as 22/7 are commonly used to approximate it. Consequently, its decimal representation never ends, nor enters a permanently repeating pattern. It is a transcendental number, meaning that it cannot be a solution of an equation involving only sums, products, powers, and integers.The transcendence of π implies that it is impossible to solve the ancient challenge of squaring the circle with a compass and straightedge. The decimal digits of π appear to be randomly distributed, but no proof of this conjecture has been found.

Therefore, we can conclude that (π) represents a irrational & transcendental number.

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The playground in Alecs neighborhood in Draw below. What is the perimeter of the playground

Answers

Answer:

D. 28 units

Step-by-step explanation:

Add up all the units on each side

Going clockwise starting from the top:

5, 5, 1, 2, 3, 1, 3, 8

Add them all together

5 + 5 + 1 + 2 + 3 + 1 + 3 + 8 = 28

Imagine that you are plotting points on a coordinate plane. each axis is labeled with integers from −5 to 5. explain how you would plot a point at the location (−21 2 , −4). write three to four sentences.

Answers

The coordinate of a point is its location on a grid. The point will be located halfway between -2 and -3 on the x-axis, on -4 on the y-axis

Coordinate points:

A set of values that show an exact position on graphs is usually a pair of numbers. The first number shows the distance along, and the second number shows the distance up or down.

One number line is horizontal and is called the x-axis, and the other number line is the vertical number line and is called the y-axis. The two axes meet at a point called the origin.

The coordinate is given as:

[tex]Point=(2\frac{1}{2} ,-4)[/tex]

Express as decimals

Point=(-2.5,-4)

The above point means that:

X=-2.5

y=-4

Therefore, The point will be located halfway between -2 and -3 on the x-axis, on -4 on the y-axis

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Manuel ay 25 5/8 ft of fencing i enough for a rectangular flower bed that meaure 9 7/8 ft by 15 3/4 feet i thi correct explain

Answers

Manuel was incorrect, because the perimeter of a flower bed is 51 1/4 feet not 25 5/8 feet.

What is the perimeter of a rectangle?

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

Given that, Manuel says  feet of fencing is enough for a rectangular flower bed that measures  feet by  feet

Here, perimeter =2(9 7/8 + 15 3/4 ) feet

= 2(79/8 + 63/4)

= 2(79/8 + 126/8)

= 2(205/8)

= 410/8

Manuel was incorrect, because the perimeter of a flower bed is 51 1/4 feet not  25 5/8feet.

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What is happening in the graph shown below?
Distance (meters)
09
A
N
0
1
Motion of an Object
2
3 4 5
Time (seconds)
7 8
OA. The object moves away from the origin at a speed of 3 m/s, stands still 6 m away from the origin for 3 seconds, then moves
toward the origin at a speed of 2 m/s.
OB. The object moves toward the origin at a speed of 6 m/s, stands still 6 m away from the origin for 3 seconds, then moves away
from the origin at a speed of 8 m/s.
OC. The object moves toward the origin at a speed of 3 m/s, stands still 6 m away from the origin for 3 seconds, then moves away
from the origin at a speed of 2 m/s.

Answers

A statement which correctly describes the graph shown below is: A. The object moves away from the origin at a speed of 3 m/s, stands still 6 m away from the origin for 3 seconds, then moves toward the origin at a speed of 2 m/s.

What is a position vs time graph?

In Mathematics, a position vs time graph can be defined as a type of graph that is used to graphically represent the distance traveled by an object from its starting position with respect to the time when it is started moving.

Generally speaking, the position or distance traveled by a physical object in a position vs time graph is always plotted on the y-coordinate while time is always plotted on the x-coordinate (x-axis).

In this scenario, the speed of the object from the origin can be calculated as follows:

Speed = distance/time

Speed = 6/2

Speed = 3 m/s.

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I’m good with making expressions out of models, but im confused with the subtraction symbol between the models. pls help.

Answers

The diagram's representation of the subtraction sign between the models is 6 + 3c.

what is expression ?

Multiplying, dividing, adding, and removing are all possible in mathematics. As an example, consider the following expression: Mathematical operation, expression, and number The elements that make up a mathematical expression include numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) One can contrast two expressions or sentences. The terms "expression" or "algebraic expression" refer to any mathematical statement that has variables, numbers, and an arithmetic operation between them. For instance, the expression 4m + 5 consists of the terms 4m and 5, as well as the variable m from the given expression, all of which are separated by the arithmetic sign +.

given

The subtraction symbol between the models is depicted in the diagram.

4 + 2c + 2 + c = 6 + 3c

6 + 3c

The diagram's representation of the subtraction sign between the models is 6 + 3c.

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What are the 3 main types of substitution reaction?

Answers

Answer:

There are three general classes of substitution reactions, depending on the following factors.

Reactant or substituent.

Intermediate – carbocation, carbanion, or free radical.

Substrate (compound) – aliphatic or aromatic.

Step-by-step explanation:

Hope it helps!

subtract 3x(x-2) from 6(x^2-xy) and express your answer as a monomial

Answers

Answer:

6(x^2-xy) - 3x(x-2) = 6x^2 - 6xy - 3x^2 + 6x

Combining like terms: 3x^2 - 6xy + 6x

To express the result as a monomial it would be 3x^2

So, the final answer is 3x^2

Other Questions
The length and breadth of a rectangular flower bed are 16m and 9 m, respectively. How many plants can be planted in it, if each plant requires a space of 1.2m x 1m? For the following reaction, to get the rate of formation of N2, what must we multiply the rate of consumption of NH3 by?2NH3---> N2 + 3H2*Report your answer as a fraction true/false. the slippery slope fallacy keeps the audience focused on the real issue by sidestepping inaccurate or irrelevant points. A PV module is made up of 36 identical cells, all wired in series. At the insolation of full sun (1000 watt/m?), each cell has a short-circuit current Isc = 3.4 (A). and its reverse saturation current is I = 6 x 10 10(A). Parallel resistance is Rp = 6.6 , and series resistance is Rs = 0.005 Under the standard conditions: 1). Find the PV module voltage, current, and power when the diode voltage in the equivalent circuit for each cell is V2 = 0.48 (V). 2). Use the following spreadsheet for Imodule and Vmodule to determine the maximum power point of the entire PV module. which answer choice accurately labels the image of synaptic transmission? the shearing motion of surface seismic waves make them more destructive than body seismic waves(primary secondary0 true or false 5. according to sigmund freud, _____ is an unpleasant state and indicates that the control of the ego is being threatened by reality. a. projection 1. encapsulation a. fill in the missing parts of the encapsulation definition: inclusion of ___________ into a _______ unit b. how does the concept of encapsulation relate to defining a class in java? Find the probability that a randomly selected point within the circle falls in the red-shaded square.4288P = [ ? ] medicare will award an assigned claim conditional primary payer status and process the claim when a __________. ______ have distinct seasonal changes, allowing for defined growing seasons. a. borreal forestsb. temperate forestsc. tropical rainforests If you attended the Academy Awards and heard the following speeches, which one would be an example of a commemorative speech?a speech honoring Jack Nicholson for his lifetime achievements the buffer from part a is diluted to 1.00 l . to half of it (500. ml ), you add 0.0250 mol of hydrogen ions without changing the volume. what is the ph of the final solution? The difference between the left-hand side and right-hand side of a less-than-or-equal-to constraint is referred to asa. constraint.b. slack.c. shadow price.d. surplus.e. None of the above How much energy is evolved during the formation of 98.7g of Fe, according to the reaction below.Fe2O3(s)+2Al(s) --> Al2O3(s) + 2Fe(s) Hrxn= -852 kJ from t=0 onwards, what happens to the voltage v(t) across the inductor and the current i(t) through the inductor relative to their values prior to t=0 ? how many t1 data channels can be multiplexed into a single sonet oc-24 circuit using virtual tributaries? The width of a rectangle is 6 inches less than twice its length. The area of the rectangle is 108in^2. a) Find the length and width. b) Write and solve the equation Tommy travels -17 feet in 5 minutes select all of the equations that represent this scenario a: r x 5 = -17b: (-17) x 5 = rc: r = - 17/15d: r = -17/15e: r = 5/-17 A tight uniform string with a length of 1.80m is tied down at both ends and placed under a tension of 100N/m . When it vibrates in its third harmonic, the sound given off has a frequency of 75.0Hz. What is the mass of the string?