The blueprint for Zahra’s new office measures `4` cm long and `2` cm wide.



The scale for the blueprint is `6` cm to `15` ft.
What is the actual area of her office?

Answers

Answer 1

Answer:

60 square feet

Step-by-step explanation:

In the blue print, 6 cm represents 15 ft

So 1 cm represents 15/6 feet = 5/2 feet

4 cm long represents 4 x 5/2 = 10'

2 cm wide represents 2 x 5/2 = 5'

Area = 10' x 5' = 60 square feet

Answer 2

Answer:

60 square feet

Step-by-step explanation:

In the blue print, 6 cm represents 15 ft

So 1 cm represents 15/6 feet = 5/2 feet

4 cm long represents 4 x 5/2 = 10'

2 cm wide represents 2 x 5/2 = 5'

Area = 10' x 5' = 60 square feet


Related Questions

Each Graph shows a relation. The first and second numbers of each ordered pair in the relation are members of the set of real numbers. In each case, find the domain and range of the relation and determine whether the relation is a function.

Please put it in a way it will enter the portal.



And please tell me which answer is for which.

Answers

The domain of the function will be - 2 ≤ x < 0. And the range of the function will be 0 ≤ y < 1. Then the relationship between x and y will be y = √(2² - x²).

What are domain and range?

The domain means all the possible values of x and the range means all the possible values of y.

A relation is shown in each graph. Every ordered pair in the relationship has a first and second number that are both real numbers.

From the figure, the domain of the function will be - 2 ≤ x < 0. And the range of the function will be 0 ≤ y < 1.

The function is a part of the circle, then the relationship between x and y will be as,

y = √(2² - x²)

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Answer:

Step-by-step explanation:

Karen stops at starbucks every weekday (M-F). She is very excited for the fall season and mobile orders a venti pumpkin spice latte every time she visits and leaves a one dollar tip. At the end of the week, she spent a total of $39.15. How much does one latte cost?

Answers

Based on the total amount that Karen spent in one week at the Starbucks, the cost of one latte was $6.83

What was the cost of one latte?

Karen left a tip of a dollar every day she bought a Latte so this comes to:

= 1 x 5 days

= $5

The cost of a single latte is therefore:

= (Total amount spent - Total tips) / Number of days

= (39.15 - 5) / 5

= 34.15 / 5

= $6.83

In conclusion, a single latte at the Starbucks to Karen for the weekdays was $6.83.

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Back in 1997, Sally paid $11,448 for a new automobile. This amount included
the 6% sales tax. What was the price of the automobile without the tax?

Answers

The automobile’s price without tax would be $10,800

PRACTICING SKILLS & CONCEPTS
1. Complete the square box problem.
.6
2,

Answers

According to the question, the first part has square box with two diagonal lines and two values. In a square, all the sides are equal as well as opposite diagonal values are equal.

Therefore, from the figure ABCD is a square in which AC and BD is a diagonal. So the remaining empty boxes will have (-2,6).

In the second part, using probability the arrangement of the alphabets can be done. As per question, total three alphabets are there that is A, B,D. The three alphabets can be arranged as:

Probability = 3! = 6 ways

Hence, the arrangement of alphabets can be done in 6 ways.

What is probability?

Probability defines the occurrence of the events or the outcomes of the occurred events. It is the ratio of favored outcomes to total number of occurred outcomes.

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What is the value of the expression below when x=5x=5?
8x+9

Answers

The value of the expression below when x=5x=5?

8x+9 is equal to [tex]7^{2}[/tex] (or) 49.

Substitute [tex]\left \{ {{x=5x} \atop {5x=5}} \right. into (8x+9)[/tex]

The expression,

y = 8x + 9

If the domain of the function is x = 5, hence the range of the function is gotten by substituting x = 5 into the given function as shown:

So, we can substitute x = 5,

Then, y = 8 * 5 + 9

Calculate the product or quotient,

y = 40 + 9

Calculate the sum or difference,

y = 49

We can write alternative form,

y = [tex]7^{2}[/tex]

Therefore,

Hence the value of the expressions if x = 5 is [tex]7^{2}[/tex] (or) 49.

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I need help asap and explain if you can if not it’s okay

Answers

The tables 2, 3 and 4 represent linear equations. (Correct choice: D)

Which tables do represent linear functions?

Algebraically speaking, linear functions are represented by a expression of the form y = m · x + b, where m is the slope of the function and b is the y-intercept of the line. Slope can be interpretated in accordance with the secant line formula:

m = Δy / Δ x

Where:

Δx - Change in independent variable.Δy - Change in dependent variable.

In other words, a table represents a linear function if for all difference between two consecutive values in x means the same change for two corresponding values in f(x).

After a quick inspection, we find that tables 2, 3 and 4 represent linear as they show the following features:

Table 2: Δx = 1, Δy = 3, Table 3: Δx = 1, Δy = 4, Table 4: Δx = 1, Δy = 2

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Explain how you decided what to draw on your place value chart. Be sure to include reasoning about
how the value of each digit was affected by the division.

Answers




What is place value.
place value is a digit in a number depends on the place it occupies in the place value chart.
Place value of a digit in a number,
= Face value ×value of the place it occupies in the place value chart.
Now, what is face value
Face value of a digit in a number is digit itself.
According to the above rules w e can decide what to draw in the place value chart.

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What is the equation of the line that passes through the point (-1,6)and has a slope of −1

Answers

Answer:

y = -x + 5

Step-by-step explanation:

slop m = -1, x = -1, y = 6

y = mx + b

6 = (-1)(-1) + b

6 = 1 + b

b = 5

so y = -x + 5


Write the equation of the line in slope-intercept form.
4x=y-11

Answers

The equation of the line in slope-intercept form is y = 4x + 11 .

The equation of a line in slope-intercept form can be written as follows,

y = mx + c                                                       equation 1

m in the above equation represents slope of the line and c represents the intercept.

The given equation is 4x = y - 11 .

To get the equation of the line in slope-intercept form we need to convert the given equation in the format of equation of a straight line i.e., equation1. So, now we will rearrange the given equation as

4x = y - 11

On adding 11 on both sides in above equation, we will get

y = 4x + 11                                                      equation 2

On equating equation 1  and equation 2, we will get

Slope of the line = m = 4

Intercept = c = 11

The equation of the line in slope-intercept form is y = 4x + 11  .      

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The slope of a non-vertical line is the ratio of the ___ to the ____ between any two points on the line

Answers

The slope of the line is the ratio of the rise to the run, or rise divided by the run.

What is slope?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. [1] The letter m is frequently used to represent slope; the reason for this usage is unclear, although it can be found in O'Brien's (1844)[2] and Todhunter's (1888)[3] formulations of the equation for a straight line as "y = mx + b" and "y = mx + c," respectively.

According to the given statements;

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane. Calculating the slope of a line is similar to finding the slope between two different points.

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For each equation, find the center and radius of the circle.
(x+2)²+(y-10)²=4

Answers

The equation of the circle (x + 2)^2 + (y - 10)^2 = 4 has a radius of 2 and a center located at (-2 , 10).

The standard form of the equation of  circle is given by

(x - h)^2 + (y - k)^2 = r^2

where (h , k) is the location of the center and r is the radius of the circle.

On the other hand, the general form of the equation of  circle is given by

x^2 + y^2 + Dx + Ey + F = 0

where D = -2h, E = -2k, and F = h^2 + k^2 -r^2.

If the equation of the circle, (x + 2)^2 + (y - 10)^2 = 4, is in standard form, then

h = -2

k = 10

r = 2

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Helpppppppppppppp meeeeeeee will give brainliest

Answers

Answer:90

Step-by-step explanation:

the angle is perpendicular

Answer: 90 I believe

The cross-section of a lean-to shelter is in the shape of a triangle. The base of the
triangle is 6 feet more than twice its height. If the area of the triangle is 88 square feet,determine the length of the base and the height of the triangle in feet

Answers

Answer:

Step-by-step explanation:

Givens

Let the height = x

Let the base = 2*x +6

Let the area = 88 square feet.

Formula

A = Base * height / 2

Solution

88 = (2x + 6)*x/2                       Multiply both sides by 2

88*2 = (2x+6)*2*x/2                Combine

176 = (2x + 6)*x                        Remove the brackets

176 = 2x^2 + 6x                         Subtract 176 from both sides

0 = 2x^2 + 6x - 176                   This factors without the quadratic

0 = (2) (x^2 + 3x - 88)

0 = 2 (x +11)(x - 8)

Note: x + 11 has no meaning. Measurements of this type cannot be minus. What is - 11 feet.

x - 8 =0

x = 8

Answer

height = 8 feet

base = 2*8 + 6

base = 22

                                                     

Find a possible value for y when x is -4 in the inequality below y<-2x+3

Answers

Answer: y<11

Step-by-step explanation:

y<-2x+3

y<-2(-4)+3

y<-(-8)+3

y<8+3

y<11

what is 8 to the 6 power?
(8⁶) who ever answers first gets brainiest

Answers

Answer:

262144

Step-by-step explanation:

8*8*8*8*8*8

64*8*8*8*8*8

512*8*8*8*8

4096*8*8*8

32,786*8

262144

Translate each rule into a formula.
The Average of 4 numbers a, b, c, d is equal to the sum of the numbers divided by 4.

Answers

The average of 4 numbers a, b, c, d is equal to the sum of the numbers divided by 4 is (a + b + c + d) / 4

How to illustrate the information?

From the information, the average of 4 numbers a, b, c, d is equal to the sum of the numbers divided by 4.

It should be noted that this can be illustrated as:

(a + b + c + d) / 4

It should be noted that average simply means the addition of the numbers and then dividing them.

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Important need help fast!

Answers

The function of correct growth or decay factors are,

[tex]y = (0.3) (0.5)^{x}[/tex] is an exponential decay factor of 50%.

[tex]y = 2000(\frac{4}{5} )^{x}[/tex] is an exponential decay factor of 15%.

[tex]y = 800 (1.15)^{x}[/tex] is an not exponential decay factor related to growth factor 15%.

[tex]y = 1200 (1.05)^{x}[/tex] is an not exponential decay factor related to growth factor 5%.

[tex]y = 3(0.85)^{x}[/tex] is an exponential decay factor of 85%, then the related to  20%.

We know that,

Exponential Decaying factor is [tex]y = ab^{x}[/tex]

Where, 0<b<1

The decay rate is expressed as a percentage. We convert it to a decimal by simply reducing the percent and dividing it by 100.

Growth factor is the factor by which a quantity multiplies itself over time. Growth rate is the addend by which a quantity increases (or decreases) over time.

Here,

Option(1) : [tex]y = (0.3)(0.5)^{x}[/tex]

Then,  0.5 < 1        (0.5 means 50%)

So, [tex]y = (0.3) (0.5)^{x}[/tex] is an exponential decay factor .

Hence,  [tex]y = (0.3) (0.5)^{x}[/tex] is an exponential decay factor of 50%.

Option(2) : [tex]y = 2000(\frac{4}{5}) ^{x}[/tex]

Then,  4/5 < 1

⇒ 0.8 < 1

So, [tex]y = 2000(\frac{4}{5} )^{x}[/tex] is an exponential decay factor.

Hence, [tex]y = 2000(\frac{4}{5} )^{x}[/tex] is an exponential decay factor of 15%.

Option(3) : [tex]y = 800 (1.15)^{x}[/tex]

Then,  1.15 > 1

So, [tex]y = 800 (1.15)^{x}[/tex] is an not exponential decay factor.

Hence, [tex]y = 800 (1.15)^{x}[/tex] is an not exponential decay factor of 115%, so it is not decay factor, then the related to growth factor 15%.

Option(4) : [tex]y = 1200 (1.05)^{x}[/tex]

Then,  1.05 > 1

So, [tex]y = 1200 (1.05)^{x}[/tex] is an not exponential decay factor.

Hence, [tex]y = 1200 (1.05)^{x}[/tex] is an not exponential decay factor of 105%, so it is not decay factor, then the related to growth factor 5%.

Option(5) : [tex]y = 3(0.85)^{x}[/tex]

Then,  0.85 < 1

So, [tex]y = 3(0.85)^{x}[/tex] is an exponential decay factor.

Hence, [tex]y = 3(0.85)^{x}[/tex] is an exponential decay factor of 85%, then the related to  20%.

Therefore,

[tex]y = (0.3) (0.5)^{x}[/tex] is an exponential decay factor of 50%.

[tex]y = 2000(\frac{4}{5} )^{x}[/tex] is an exponential decay factor of 15%.

[tex]y = 800 (1.15)^{x}[/tex] is an not exponential decay factor related to growth factor 15%.

[tex]y = 1200 (1.05)^{x}[/tex] is an not exponential decay factor related to growth factor 5%.

[tex]y = 3(0.85)^{x}[/tex] is an exponential decay factor of 85%, then the related to  20%.

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can someone help me with this? Thank you!

Answers

Answer:

4 5/6

Step-by-step explanation:

1/2 -> 3/6

2/3 -> 4/6

? 3/6 - ? 4/6 = ? 5/6

10 - 5 ( Take away one because you needed to do 3/6-4/6 which results in a negative number )

4 5/6

Answer:
4 5/6
Step-by-step explanation:
1/2 -> 3/6
213 -> 416
? 316-?4/6=? 516



b. Do transformations of the form y=|x|+k affect the axis of symmetry? Explain.

Answers

A line that bisects or cuts an objects into two equals parts is called the axis of symmetry for that object. The axis of symmetry creates a mirror-like reflection of each side of the object.

The function f(x) = |x| is called an absolute value function. The highest or lowest point on the graph of the absolute value function is called the vertex. The absolute value graph has an axis of symmetry through the vertices.

The axis of symmetry (x=0 or y-axis) is the line that divides the graph into two congruent halves. Translate is a transformation that moves the graph horizontally or vertically, but does not change its overall shape or orientation.

So, it does not affect the axis of symmetrical. Is symmetrical about the Y axis (axis of symmetry).

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12 + 3[18 - 5(16 - 13)]

Answers

Answer:

algebra = 21

Step-by-step explanation:

the answer is 21

branbliest, please

The formula for the volume of a cone is V=1/3x3.14xr^2h, where V is the
volume, r is the radius of the base, and h is the height.

a. Solve the formula for h.


b. What is the height of a cone with a volume of 1017.36 square inches and
a radius of 6 inches? Use 3.14 to approximate

Answers

Answer: a. h=3V/(πr^2)

b. h=27 inches

Step-by-step explanation:

a. V=1/3 π r^2 h

V*3=3*1/3 π r^2 h

3V=3/3 π r^2 h

3V=π r^2 h

3V/π=π/π r^2 h

3V/π=r^2 h

h=3V/(πr^2)

b. h=3(1017.36)/(3.14(6^2))

h=3052.08/(3.14(36))

h=3052.08/(3.14(36))

h=3052.08/113.04

h=27 inches

Simon wanted to find the equation of a line that passes through (–6, 5) and is perpendicular to the graph of 3x + 2y = –11. His work is shown below.

1. 3x + 2y = –11 written in slope-intercept form is y = x , so the slope is .

2. The slope of the perpendicular line is .

3. Substitute the point and the new slope into point-slope form to get y – 5 = (x – (–6)).

4. Simplifying, the line is y – 5 = (x + 6).

Is Simon’s work correct?

No, the slope of the line 3x + 2y = –11 is not .
No, the slope of the line perpendicular to the line 3x + 2y = –11 should be .
No, he did not substitute the point and the slope into point-slope form correctly.
Yes, the work is correct.

Answers

The answer would be: B. No, the slope of the line perpendicular to the line 3x + 2y = –11 should be 2/3.

What if the Slope of Perpendicular Lines?

The equation in slope-intercept form of a line is, y = mx + b, where we have the slope value as m. If two lines are perpendicular, the value of their slope (m) will be negative reciprocals to each other.

Rewriting the equation, 3x + 2y = -11 in slope-intercept form, we would have:

2y = -3x - 11

y = -3/2x - 11/2

The slope (m) is, -3/2. The negative reciprocal is, 2/3.

Therefore, the slope of the line that is perpendicular to the given line would be: 2/3.

Thus, the answer would be: B. No, the slope of the line perpendicular to the line 3x + 2y = –11 should be 2/3.

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Answer:

b. No, the slope of the line perpendicular to the line 3x+ 2y = –11 should be .

Step-by-step explanation:

its right on edge

What else is needed to prove these triangles congruent using the SAA postulate? I NEED THE ANSWER

Answers

To prove triangles ACB and ECD to be congruent using SAA we need

A. Both ∠B and ∠D need to be congruent and ∠A and ∠E need to be congruent.

As given in the question,

In the triangle ACB and ECD,

Given : AC ≅ EC

            ∠ACB ≅∠ECD

To prove triangles to be congruent using SAA.

Two angles need to be congruent.

∠B ≅ ∠D

∠A ≅ ∠E

Therefore, to prove triangles ACB and ECD to be congruent using SAA we need

A. Both ∠B and ∠D need to be congruent and ∠A and ∠E need to be congruent.

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Drag each equation to the correct location on the table.
Solve the equations for the given variable. Then place the equations in the table under the correct solution.
x = 3
x + 3
= 9 -6 + z = -9 2-5 = -2 -² + x = ²²
-14x = -42

Answers

Equations x - 5 = -2, -3/5 + x = 12/5, -14x = -42, x/4 = 6/8 will be placed in the x =3 column and equations x/3 = 9, -6 + x = -9 will be placed in the x 73 column.

Here, we are given 6 equations, let us solve each one-

1. x/3 = 9

x= 9 3

x= 27

=x3

2.-6 + x = -9

x= -9 + 6

x

x= -3

X+ 3

3.

3. x - 5 = -2 x= -2 + 5

x=3 4.-3/5 + x = 12/5

x= 12/5 + 3/5

x= 15/5

= x= 3

5. -14x = -42

x= -42/-14

x = 42/14

= x= 3

6. x/4 = 6/8

X/4 = 3/4

x = 12/4

x= 3

Thus, equations x - 5 = -2, -3/5 + x = 12/5, -14x = -42, x/4 = 6/8 will be placed in the x =3 column and equations x/3 = 9, -6 + x = -9 will be placed in the x 73 column.

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Compare the two numbers. Use > or < .
-√38, 6

Answers

Square root is a factor that, when multiplied by itself, equals the original value.

The values of -√38 = -6.16 then -√38  <  6.

What is a square root?

In mathematics, a square root is a factor that, when multiplied by itself, equals the original value. Any time the idea of an object's square is mentioned, square roots can be considered more widely. These include square matrices and function spaces, among other mathematical structures.

Even though it is only one of the two square roots of a positive number, the term "square root" is occasionally used to describe the major square root of a positive number.

Let the values of -√38 = -6.16 then -√38  <  6

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please answer i will give 100 extra points if correct

Answers

The answer is 4 brotha

Answer:

-6, -5, -5.9, -1, 0, 1, 5, 5.9, 6, 6.1, 7, 11

Step-by-step explanation:

Its basically saying that all values of x must be greater than or equal to -6. So, we can substitute -6, -5, -5.9, -1, 0, 1, 5, 5.9, 6, 6.1, 7, 11

-6.1, -7, and -11, is wrong because it is less than -6,

hope this helped

please help. two other ppl have answered with wrong answers pls only reply if you know it !!!!!!!!!!!!! high points and brainily for the people who know it fr

Answers

Answer:

-12

i hope this helps;/

Answer:

The answer is -12.

Step-by-step explanation:

Basically when it says, "when h = -1 ", we need to substitute t for -1.

So, here's what the equation would look like now,

h(-1) = (-1 + 7) (-1 - 1)

= (6)(-2)

= -12

So, our answer is -12.

Hope this helps!


Write an example from daily life that uses each type of real number.
whole numbers

Answers

Whole numbers are defined as a set of natural numbers plus the integer zero. There exists no fractions, decimals, or negative integers in whole numbers, which are actual numbers.

What are whole numbers?

Whole numbers are defined as a set of natural numbers plus the integer zero. In mathematics, the set of whole numbers is denoted by the letter W and is given as 0, 1, 2, 3, etc.

Examples:

1. Learning geometry and trigonometry can help people who desire to get better at sports.

2. The ability to compute an area is useful since it will be useful when we renovate our homes and rental properties.

3. When making many purchases, we must decide which retailer gives the best price or financing.

4.People use ratios or proportions to calculate the right amount of each item when they cook.

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Draw a line representing the rise and representing the run of the line. State the slope of the line in simplest form.

Answers

Answer:

See below

Step-by-step explanation:

See graph below

just an addition to the great reply above by jsimpson11000

Check the picture below.

A class of 25 students took a science test. 10 students had an average (arithmetic mean)
score of 80. The other students had an average score of 60. What is the average score of the
whole class?

Answers

The required average score of the class is 68.

Given that,
A class of 25 students took a science test. 10 students had an average (arithmetic mean) score of 80.
The other students had an average score of 60, which is the average score of the whole class is to be detrmined.

What is average?

The average of the values is the ratio of the total sum of values to the number of values.

Here,
The average of 10 students is 80,
The average of the remaining students is 60 i.e. = 25 - 10 = 15
Now an average of the class,
Average = 80 * 10 + 15 * 60 / 25
              = 1700 / 25
              = 68

Thus, the required average score of the class is 68.

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Other Questions
In a plane, prove that if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other. (Theorem 3.4 ) If you had been president during 9/11 what would you have done about it? (Other than extend airport security)PLEASE ANSWER FOR 100 POINTS Airing an ad during the Super Bowl is MOST representative of which type of marketing? Determine all the unknown values of the figure Devon is hired by the city to create a scale mural of a local park. Devon is exactly 6 feet tall but in the mural, he is 4.5 feet tall. If the tree in the park is 30 feet tall, how tall should the tree be in the mural?The tree will be feet tall in the mural. The following sentence is written correctly:It's wise for a beginning driver to stay out of heavy traffic until they have experience. True False Select the correct location on the image.Which region on the map was settled by the Neanderthal people? 2, it eras tres fragmentos no se llegan a conocer decalles especificos de la Conquista las, de concentra ms bien en los sentimentos profundamente hurrancs despus de la violencia de 1519 a 1521. Crees que tu perspectira del stele XX7 As Refund en cus reacciones a estos escritos de hace 500 aos? /Mabrias respondio ante allos de modo diferente si te hubleras eriado en otra poca u cera cultura diferente de la tuya? Defende tu respuesta con elementos concretos excomradas en los textos. When taken in small to moderate doses, caffeine has been shown to improve alertness, attention, and performance on simple motor tasks.True or false Which amino acid residue's backbone forms a hydrogen bond with the backbone of the third (3rd) residue? Toss a ball of mass 3 kg up initially with velocity 9.5 m/s. how high does it go in meters? simply enter number here without units or other symbols. Read the following poem and identify the universal theme. What is the universal theme of this poem? Cite your evidence to support the universal theme.What is technology if nota kind of built-in nostalgiafor the frantic past's long slideinto a slower presentPut another way: a decadebends 8-bit bells & whistlesinto an oxymoron it nearlyhurts rememberingtight lump on your thighof quarters in those shortshort shorts. It was amazing As a student, how do you use the internet in doing your school activities such as assignments and projects? Give three situations. What is the slope of a line that is parallel to x + 3y = 6 Responses 1/3 StartFragment, 1/3, -1 StartFragment, -1, 3 StartFragment, 3, 6 You get to choose who is a part of your life "symphony" with what?A. The career you decide to pursue.B. The time you spend practicing an instrument.C. The relationships you build with people.D. The way other people prove they can play instruments. Healthy eating habits have become a high priority for Baby Boomers. Salmon has been identified as a heart-healthy, antioxidant-rich fish.The price of fresh salmon has increased over the past ten years. According to the law of supply and demand, the quantity of salmon provided should Increase . Why is it important to test city design first before incorporating them into urban designre incorporating them Ou manufacture devices with sensors and need to stream huge amounts of data from these devices to a storage option in the cloud. which storage option is the best choice for your application? Which term refers to a unique combination of a user name and an associated password? What is the net force and direction of the airplane? Do the numbers in the perimeter row form an arithmetic sequence? If so, what is the common difference, and what is the recursive formula for the perimeter of a square of side n(the nth perimeter) using the first number(perimeter) in the pattern?