a university is conducting research on ways to improve study habits and help students with lower grade point averages. it sends out a questionnaire to undergraduate students asking how they study and what they feel is the most productive way to study. what data collection method is the university using?

In the linear equation y=2x+3, if x increases by 4 points, the y will increase by 8 points.

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation's graph will always be a straight line. A linear equation is expressed using the linear equation formula. There are numerous ways to accomplish this. A linear equation, for instance, can be written in standard form, slope-intercept form, or point-slope form. 

According to that,

y=2x+3 is the linear equation.

x will now rise by 4 points.

According to the data given, the calculation is as follows:

x = x + 4

So = 2(x)

= 2(x + 4) + 3

= (2x + 3) + 8

= y + 8

Eight points should be added to the y.

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The height of the hill in the painting 3 inches from the left side of the picture is 30 Inches. Option C

From the information given, we have that;

We also have that the function is;

h(x) =-(x)(x-13)

Given that the distance is 3 inches

Substitute the values, we have;

h(3)= -(3)(3-13)

substract the values

h(3) = (-3)(-10)

multiply the values

h(3) = 30 inches

Hence, the value is 30 inches

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Answer:

A

Step-by-step explanation:

For any given point on a parabola,

(x,y)

If we know the axis of symmetry x=a.

We can find the other point

If the given point x value is less than the axis of symmetry

(x+2a,y)

if the given point y value is greater than axis of symmetry

(x-2a,y)

Here, since 0<3, we use the first formula to find the new point

(0+2(3),-5)=(6,-5)

So the point is A.

Answer:

Gavin made a Profit of $66.69 that is 93% Profit

Step-by-step explanation:

First, we calculate the Selling Price of Jeans after converting from GBP to USD on the given rate:

Rate: £1 = $1.34

Quantity: 3

Price in USD = Selling Price per pair * Rate in USD

£34.50 * 1.34 = $46.23 per pair of jeans.

Total Selling Price = Price Per Pair * Quantity
= 46.23 * 3
= $138.69

Total Profit = Total Selling Price - Total Cost Price
= $138.69-$72
= $66.69

Percentage of Profit = Total Profit / Total Cost Price
=66.69 / 72
=92.65

Therefore, the Profit Percentage is 92.65 % the nearest whole number would be 93%

To calculate Gavin's percentage profit, find the difference between the selling price and the buying price, and calculate the percentage of the buying price that the profit represents.

To calculate Gavin's percentage profit, we need to find the difference between the selling price and the buying price, and then calculate the percentage of the buying price that the profit represents.

Gavin's percentage profit is approximately 92.6%.

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Answer: 5/12

Step-by-step explanation:

- For the ease of the problem, turn them into improper fractions, so it would be:

13/3 divided by 14/5 divided by 26/7

- Next, let's turn the equation from division to multiplication. This can be done by flipping the fractions of everything being divided, so:

13/3 times 5/14 times 7/26

- We can cross out some parts of the fraction, like 13 and 26, 14 and 7, which simplifies our equation to:

1/3 times 5/2 times 1/2 = 5/12

Answer:

[tex]\dfrac{5}{12}[/tex]

Step-by-step explanation:

Given equation:

[tex]4 \frac{1}{3} \div 2 \frac{4}{5} \div 3 \frac{5}{7}[/tex]

Convert the mixed numbers into improper fractions:

[tex]\dfrac{4 \times 3+1}{3} \div \dfrac{2 \times 5+4}{5} \div \dfrac{3 \times 7+5}{7}[/tex]

[tex]\dfrac{13}{3} \div \dfrac{14}{5} \div \dfrac{26}{7}[/tex]

[tex]\textsf{Apply the fraction rule:} \quad \dfrac{a}{c}\div\dfrac{b}{d}=\dfrac{a}{c}\times \dfrac{d}{b}[/tex]

[tex]\dfrac{13}{3} \times \dfrac{5}{14} \times \dfrac{7}{26}[/tex]

Multiply the fractions:

[tex]\dfrac{13\times5\times7}{3 \times14 \times 26}[/tex]

[tex]\dfrac{455}{1092}[/tex]

The greatest common factor of 455 and 1092 is 91.

Therefore, divide the numerator and denominator by the GCF:

[tex]\dfrac{455 \div 91}{1092\div 91}=\dfrac{5}{12}[/tex]

The two unique values of sin theta in radians are

The sine function has a range of [-1, 1], so there are multiple angles that correspond to a sine of 1/2.

The most commonly used values are π/6 (30 degrees) and 7π/6 (150 degrees), which are in the first quadrant and second quadrant and have a positive sine value of 1/2.

It's worth noting that there are an infinite number of angles that correspond to a given sine value, since the sine function has period 2π. These angles are related to the angles by adding or subtracting multiples of 2π.

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The required answers are,

a) 675.75 [tex]ft^2[/tex]

b) 9.46 gallons or we can say that 10 gallons needed.

c) $183.2

The amount of unit squares that cover a closed figure's surface is its area. Area is measured in square units like cm² and m². Area of a shape is a two dimensional quantity. The term “area” refers to the space inside the boundary or perimeter of a closed shape.

Now in the given question,

Area of Walls:

[tex]A(walls)=2(11*8)+2(20*8)\\A(walls)=2(88)+2(160)\\A(walls)=176+320\\A(walls)=496 ft^2[/tex]

Area of 2 windows:

[tex]A(windows)=2(3*4)\\A(windows)=2*12\\A(windows)=24 ft^2[/tex]

Area of door:

[tex]A(door)=2.5*6.5\\A(door)=16.25 ft^2[/tex]

Area of walls to be painted:

[tex]=A(walls)-A(windows)-A(door)\\=496-24-16.25\\=455.75ft^2[/tex]

Area of ceiling:

[tex]A(ceiling)=11*20\\A(ceiling)=220ft^2[/tex]

(a) Now total area to be painted:

A(walls to be painted)+ A(ceiling)=A(total)

[tex]A(total)=455.75 ft^2+220ft^2\\A(total)=675.75 ft^2[/tex]

(b) Number of Gallons:

coverage=71.41 ft^2 /gallon

675.75 ft^2/71.41 ft^/gal=gallons needed

9.46 gal= 10 gallons needed(approx)

(c) Cost of Paint:

You would need to buy 10 gallons at $18.32/gallon to have sufficient paint

cost=10 gallons x $18.32/gallon

=$183.2

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The value of the expressions are;

a. 2x² + 6

b. 3x² - 6x + 2x -6

c. y = 3

d. x = 2

From the information given, we have

a. 2x(x + 3)

expand the bracket

2x² + 6

b. (3x + 2)(x-3)

expand the bracket

3x² - 6x + 2x -6

c. 4y -2(6-y) = 6

expand the bracket

4y - 12 + 2y = 6

collect like terms

6y = 18

Then,

y = 3

d.  x(2x-4)= (2x + 1)(x-2)

expand bracket

2x² - 4x = 2x² - 4x + x - 2

collect like terms

x = 2

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Answer:

50) i. C 800cm^2

50)ii. B 120cm

Step-by-step explanation:

Use the picture in its given 2-d to mark the unknown measures. Such as, the gray rectangle on top has a bottom that is also 20 and the left side is 15.

The small horizontal jutting out on the left mid-way down is 5cm same as the 5cm just below.

When you mentally "unfold" the shape to its full rectangular shape and size, all the lengths are marked.

Use:

Area=length×width

and,

Perimeter

=L + w + L + w

There are lots of perimeter formulas, for perimeter, you just add up all the sides all the way around the shape.

see image.

Answer:

10

Step-by-step explanation:

i love how you look like a dinosaur

Answer:

D

Step-by-step explanation:

[tex]100(1 + \frac{016}{12}) ^{12(20)}[/tex]

331.02

Answer:

D. $220.00

Explanation :

Pt(1+r/n) n

Answer:

k = 48.4

Step-by-step explanation:

[tex] \frac{k - 16}{6} = 5.4 \\ 6 \times \frac{(k - 16)}{6} = 5.4 \times 6 \\ k - 16 = 32.4 \\ k = 32.4 + 16 \\ k= 48.4 [/tex]

The values of x for which f(x) = g(x) are -1 and 4

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

f(x) = -2x + 4

g(x) = x^2 - 5x

Using the above as a guide, we have the following:

Using the above as a guide, we have the following:

x = -1 and x = 4

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Answer:

Period is [tex]\mbox{\huge {\boxed{\pi }}}[/tex]

Step-by-step explanation:

Each gridline marker on the horizontal axis is π/4

The period of this function is the horizontal displacement at which the function starts to repeat itself

Looking at the function we see that the minimum value of the function is 1 and occurs first at -π/4 and then at 3π/4

So the period is 3π/4 - (-π/4) = 3π/4 + π/4 = (3/4 + 1/4)π = π

We could also double check this using another point of reference

let's take the peaks of the function
The first peak visible is at -3π/4 and the next peak at π/4

So the period = π/4 - (-3π/4) = π/4 + 3π/4 = π

Answer:

Step-by-step explanation:

First, add 7 to all parts of the inequality to isolate x.

-10+7 < 3x-7+7 ≤ 5+7

-3 < 3x ≤ 12

Then divide all sides by 3.

-1 < x ≤ 4

So x is greater than -1 but less than or equal to 4.

This can be written as (-1, 4] in interval notation.

In the beginning, Sita had Rs. 64 to start with.

Some common rules of exponents are

xᵃ×xᵇ = xᵃ⁺ᵇ.

xᵃ/xᵇ = xᵃ⁻ᵇ.

Addition and subtraction of exponents is only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.

From the given information the equation can be formed as,

4ˣ + 128 = 3.2⁽ˣ⁺³⁾.

2²ˣ + 2⁷ = 3.2⁽ˣ⁺³⁾.

Putting some arbitrary values of 'x' we gey at x = 3,

64 + 128 = 3.64.

So, In the beginning, she had 4³ rs which is 64 rs.

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Equity is generally defined as the difference between the value of a company’s assets and its liabilities, and is typically expressed as a dollar amount.

The formula for equity is: Equity = Assets - Liabilities To calculate equity, you would first need to calculate the value of all of the company’s assets, such as cash, investments, inventory, property, and equipment. Then, you would need to calculate the value of all of the company’s liabilities, such as accounts payable, short and long-term debt, and any other financial obligations. Once the value of the assets and liabilities have been calculated, the difference between them is the company’s equity. For example, if a company has total assets of $4,000 and total liabilities of $2,500, the equity can be calculated as follows :Equity = Assets - Liabilities Equity = $4,000 - $2,500  Equity = $1,500

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If number of pencils are triple the number of pens, then the number of pens is 30

Total number of pens and pencils = 120

Number of pencil is triple the number of pens

Consider the number of pens as x

Number of pencils = 3x

Sum of the pens and pencils = 120

Then the equation will be

Number of pens +  Number of pencils = Sum of number of pens and pencils

Substitute the values in the equation

x + 3x = 120

Add the like terms

(1 + 3)x = 120

4x = 120

Move 4 to the right hand side of the equation

x = 120 / 4

x = 30

Therefore, the number of pens is 30

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The areas of the scale factors 2, 3, 5, 1/2 and 2/3 are 144, 324, 900, 9 and 16 square units respectively.

The area of the right triangle = 36 square units

Scale factor of each scaled copies of the right triangles are given

Scale factor = 2

Then the area will be = Area at scale factor 1 × square of scale factor

Substitute the values in the equation

Area = 36 × 2^2

= 36 × 4

= 144 square units

Scale factor = 3

Area = 36 × 3^2

= 36 × 9

= 324 square units

Scale factor = 5

Area = 36 × 5^2

= 36 × 25

= 900 square units

Scale factor = 1/2

Area = 36 × (1/2)^2

= 36 × 1/4

= 9 square units

Scale factor = 2/3

Area = 36 × (2/3)^2

= 36 × 4/9

= 16 square units

Therefore, area of the each scale factor has been found

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The given question is incomplete, the complete question is :

A right triangle has an area of 36 square units if you draw scaled copies of this triangle using the scale factor in the table, what will the areas of these scaled copies be?

I- uhm, it makes one but, I think that's just an equation...

Most data is likely to be skewed following a particular trait because when considering real life data, it is likely that it may concentrate on one end of the values on the real line as there is high uncertainty that exists with real life.

There is very little confidence that the population would behave in expected ways.

The skewed distribution implies the distribution that is not symmetrical. If a distribution is skewed it can be skewed to the left i.e. mean lies to the left of the center or skewed to the right i.e. mean lies to the right of the center of the distribution.

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Using the distributive property, we can write (z-5)(z+3) is equal to  [tex]z^2[/tex] - 2z - 15.

Let us expand the expression (z-5)(z+3).

We will distribute the terms in the first set of parentheses (z-5) to the terms in the second set of parentheses (z+3) as follows -

(z-5)(z+3) = z(z+3) - 5(z+3)

Now, we will simplify the expression by distributing z to both terms inside the first set of parentheses, and then distributing -5 to both terms inside the second set of parentheses as follows -

z(z+3) - 5(z+3) = [tex]z^2[/tex] + 3z - 5z - 15

Combining the like terms, we get,

(z-5) (z+3) = [tex]z^2[/tex] - 2z - 15

Therefore, (z-5)(z+3) is equal to  [tex]z^2[/tex] - 2z - 15.

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Not sure but i think it's 6.3.

Pythagoras theorem

a²+b²=c²

6.9 is the hypotenuse (c)

2.9 is the base (b)

a is the altitude of the wall or the height of the wall (a)

a²+2.9²=6.9²

a= 6.3

The best measure of center for this data is the median, and its value is 49.

What is the median in statistics?

In statistics, the median is a measure of central tendency that represents the value separating the higher half of a dataset from the lower half.

To find the median of a dataset, the values must first be arranged in order of magnitude. If the dataset has an odd number of values, the median is the middle value. If the dataset has an even number of values, the median is the average of the two middle values.

To determine the best measure of center for this data, we need to consider the shape of the distribution. Looking at the histogram, we can see that the data is skewed to the right, with a long tail of higher values.

In this case, the median is the best measure of center, because it is not affected by the extreme values in the dataset. The median is the middle value of the dataset when it is arranged in order, and in this case, the middle value is between 49 and 50. Since there are an even number of data points, we take the average of the two middle values, which gives a median of 49.

We are given that;

The list of donation is as follows

11, 18, 35, 39, 45, 45, 46, 47, 49, 49, 50, 50, 50, 50, 56, 57, 58, 59

Now,

Mean is the middle term of the data

Here,

Middle term of data = 49

Therefore, the mean of the given list will be 49.

Therefore, the best measure of center for this data is the median, and its value is 49.

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Answer: The median of 49 is the most accurate to use, since the data is skewed.

Step-by-step explanation:

Answer:

6x-3 - (x-1) is the expression.

You want to make sure to bring the - over both the "x" and the "-1". You end up with the expression 5x-2. I need more info to "evaluate the expression", it is not possible to evaluate it currently because of limited information on what the expression would equal.

Kyle: Rotation about the origin, then reflection across the x axis

Tina: Reflection over the line y = x

In geometry, reflection refers to a transformation that involves flipping a shape or object over a line, often called the "line of reflection".

This transformation preserves the size and shape of the original object, but changes its orientation by reversing the positions of all its points across the line of reflection.

Considering the image, rotation about the origin, then reflection across the x axis when compare with Reflection over the line y = x. will yield similar result.

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Answer:its a graph

Step-by-step explanation:

Answer:

Step-by-step explanation:

a. Fishman, Goron, Smith, other.

b. 98 people

Use the percent formula:

P% of number = x in this case it's 35/100 * 280 = x

x = 98

c. No because it is estimated. I typed it into my calculator and when I did the percentage formula with other and used 280 as my other number, I get 28, when it says 40 people had voted for other.

Answer:

e would equal a half because it's in the middle

[tex] \frac{1}{8} < \frac{3}{4} [/tex]