Column 1 Sections of a Lab
Report
19. Problem or Question
20. Hypothesis
21. Materials
22. Procedure
23. Observations
24. Analysis
25. Conclusion
Column 2 Information to Use in a Lab Report
a. If you increase the water temperature, then the yeast will
give off more gas.
b. After five minutes, Balloons A and B expanded.
c. Yeast give off more gas at higher temperatures.
d. What factors help yeast to grow?
e. Balloon B became bigger than Balloon A, so that means
that the yeast in Balloon B gave off more gas.
f. Combine the yeast, sugar and water in a bottle. Put a
balloon on the bottle.
g. Yeast, sugar, warm and cool water, containers

Answer:

Find the Slope from a Graph

Identify rise and run from a graph

Distinguish between graphs of lines with negative and positive slopes

Find the Slope from Two Points

Use the formula for slope to define the slope of a line through two points

Find the Slope of Horizontal and Vertical Lines

Find the slope of the lines

x

=

a

and

y

=

b

Recognize that horizontal lines have slope = 0

Recognize that vertical lines have slopes that are undefined

Identify slopes of parallel and perpendicular lines

Given a line, identify the slope of another line that is parallel to it

Given a line, identify the slope of another line that is perpendicular to it

Interpret slope in equations and graphs

Verify the slope of a linear equation given a dataset

Interpret the slope of a linear equation as it applies to a real situation

Identify slope from a graph

The mathematical definition of slope is very similar to our everyday one. In math, slope is used to describe the steepness and direction of lines. By just looking at the graph of a line, you can learn some things about its slope, especially relative to other lines graphed on the same coordinate plane. Consider the graphs of the three lines shown below:

You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it. So, you can choose any 2 points along the graph of the line to figure out the slope. Let’s look at an example.

EXAMPLE

Use the graph to find the slope of the line.

A line that crosses the points (2,1) and (6,3). A blue line labeled Rise goes up two units from the point (2,1). A red line labeled Run goes left from the point (6,3) so that it forms a triangle with the main line and the Rise line. A formula says slope equals rise over run.

Show Solution

This line will have a slope of

1

2

no matter which two points you pick on the line. Try measuring the slope from the origin,

(

0

,

0

)

, to the point

(

6

,

3

)

. You will find that the

rise

=

3

and the

run

=

6

. The slope is

rise

run

=

3

6

=

1

2

. It is the same!

Let’s look at another example.

EXAMPLE

Use the graph to find the slope of the two lines.

A graph showing two lines with their rise and run. The first line is drawn through the points (-2,1) and (-1,5). The rise goes up from the point (-2,1) to join with the run line that goes right to the point (-1,5). The second line is drawn through the points (-1,-2) and (3,-1). The rise goes up from the point (-1,-2) to join with the run to go right to the point (3,-1).

Show Solution

When you look at the two lines, you can see that the blue line is steeper than the red line. It makes sense the value of the slope of the blue line, 4, is greater than the value of the slope of the red line,

1

4

. The greater the slope, the steeper the li

Step-by-step explanation:

1) Rounding up 4328 to 1 significant figure will give us; 4000

2) Rounding up 25446 to 1 significant figure will give us 30000.

3) Rounding up 38562.7  to 1 significant figure will give us; 40000

4) Rounding up 87600.2 to 1 significant figure will give us; 90000

When talking about significant figures with whole numbers, we mean all non - zero whole numbers. They include;

1) Rounding up 4328 to 1 significant figure will give us; 4000

2) Rounding up 25446 to 1 significant figure will give us 30000.

3) Rounding up 38562.7  to 1 significant figure will give us; 40000

4) Rounding up 87600.2 to 1 significant figure will give us; 90000

Read more about approximate to significant figures at; https://brainly.com/question/24491627

#SPJ1

Answer: 2979 Zeroes

Step-by-step explanation:

1. Figure out what 10^2985 is. (It's one followed by 2985 zeroes).

2. Using that knowledge, make 7.185629 a whole number. To do that, you need to multiply it by a number that has the same number of zeroes as it does to move the decimal place one by one to the right. In this case, it is 1,000,000, because it has 6 zeroes and you need to move the decimal point past 6 numbers (after 7 in 7.185629).

3. Subtract 2985 by 6, because you used 6 zeroes.

4. This gives you the answer 2979 zeroes because 2985 zeroes - 6 zeroes= 2979 zeroes.

Answer:

cos (-1 • 0^2) = 1

Step-by-step explanation:

Plug in the value x=0

Answer:

-15+x+11y

Step-by-step explanation:

How to Solve

-15+x-y+12y  < ------ Subtract the values -5 and -10

-15+x+11y    <  -----   Combining like terms -y−y and 12y12y

Answer:

1)3√5

2)5√5

3)3√5

Answer: I think the answer is never but I'm not sure

Step-by-step explanation:

The angle of ∠FEG is 58 degrees

The angle DEF is a right angle.

Therefore,

∠DEF = 90°

Hence,

∠FEG + ∠GED = ∠DEF

∠FEG  = 5x - 22

∠GED = 2x

∠DEF = 5x - 22 + 2x

90 = 5x + 2x - 22

90  = 7x - 22

90 + 22 = 7x

112 = 7x

divide both sides by 7

x = 112 / 7

x = 16

∠FEG  = 5x - 22

∠FEG  = 5(16) - 22

∠FEG  = 80 - 22

∠FEG  = 58°

learn more on angles here: https://brainly.com/question/14167848

#SPJ1

Answer:

4.35

Step-by-step explanation:

Answer:

4.35 kilo

Step-by-step explanation:

The given expression can be solved by determining the product of irrational numbers.  

Irrational number is a real number that cannot be expressed as the quotient of two integers. If a square root of a number is not a perfect square root, then it is an irrational number.  

In the given expression, there are two rational numbers 7 and 3 while two irrational numbers √7 and √7.

The integer 7 and 3 can be multiplied. Hence,

7√7*3√7=7*3*√7*√7=21*√7*√7

When multiplying terms in square root, √a*√b=√ab. Hence,

21*√7*√7=21√7*7

As square root of a number is the number multiplying itself i.e., √a*a=a

21√7*7= 21*7=147

The product of the expression 7√7.3√7 is 147

Learn more about irrational numbers:

https://brainly.com/question/28298392

#SPJ4

Answer:

-3x^{4}+2x^{3}+4x^{2}

Step-by-step explanation:

Re-order terms so constants are on the left

-x^{2}\left( 3x^{2}-2x-4\right)

-x^{2}\left( 3x^{2}-2x-4\right)

2

Distribute

-\textcolor{#C58AF9}{x^{2}\left( 3x^{2}-2x-4\right) }

-\left( \textcolor{#C58AF9}{3x^{4}-2x^{3}-4x^{2}}\right)

3

Distribute

-\left( 3x^{4}-2x^{3}-4x^{2}\right)

-3x^{4}+2x^{3}+4x^{2}

Answer:

supplementary means the angles add upto 180 degrees. The name for 2 anglew which add upto 90 degrees is "complimentary".

The nine thousand one hundred ninety-one in number form is 9191

nine thousand one hundred ninety-one in number form is written as

9000+100+90+1=9191

Numbers may be represented in language with range phrases. more universally, person numbers may be represented through symbols, called numerals;

for example, "five" is a numeral that represents the wide variety five. As handiest a fairly small wide variety of symbols may be memorized, primary numerals are commonly organized in a numeral system, which is an organized way to represent any quantity.

The maximum commonplace numeral device is the Hindu–Arabic numeral machine, which allows for the illustration of any quantity the use of a mixture of ten fundamental numeric symbols, called digits

To learn more about number visit https://brainly.com/question/17429689

#SPJ9

Answer:

kevin ate 1/6 more than Kathy or un simplified, 2/12

Step-by-step explanation:

least common denominator

Answer:

the answer is b

Step-by-step explanation:

thnx

Answer:

P [tex]\leq[/tex] 6

Step-by-step explanation:

Set up Equation:

17.50 + 36.25(p) [tex]\leq[/tex] 235

Simplify Expression to Solve for how many people can go the park, using inverse operations.

36.25(p) [tex]\leq[/tex] 235 - (17.50)

36.25(p) [tex]\leq[/tex] 217.5

p [tex]\leq[/tex] 217.5/36.25

p [tex]\leq[/tex] 6

Therefore, no more than six people can attend the amusement park.

Expression as a single natural logarithm is 2.48490664979.

ln 3+ ln 4

ln (3×4)

ln(12) =2.48490664979

The inverse of an exponential function, the natural log is the logarithm to the base of the number e. Natural logarithms are unique varieties of logarithms that are employed in the treatment of time and growth-related issues.

The distinction between log and ln is that log is expressed in terms of base 10, while ln is expressed in terms of base e. As an illustration, log of base 2 is denoted by log2 and log of base e by loge = ln (natural log).

To learn more about natural logarithm from the given link:

brainly.com/question/20785664

#SPJ4

The surface area of the triangular prism is 136 cm square.

The surface area of a triangular prism can be found as follows;

Therefore,

surface area of a triangular prism = (perimeter of the triangle × height of prism) + (2 × base area)

Hence,

perimeter of the triangle = 5 + 5 + 6

perimeter of the triangle = 16 cm

height of prism = 7 cm

base area = 1 / 2 bh

base area =  1 / 2 × 4 × 6

base area = 24 / 2

base area = 12 cm²

Therefore,

surface area of a triangular prism = (16 × 7) + (2 × 12)

surface area of a triangular prism = 112 + 24

surface area of a triangular prism = 136 cm²

learn more on surface area here: https://brainly.com/question/26822306

#SPJ1

You can let the sides be a and b. You can then use the Law of Sines to create an equation relating the two sides and the angles opposite them, and finally isolate a/b.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Distributive property is the answer

The nature of the roots in the given quadratic equation (x - 3)² + (x - 4)² = 0 is; A: two rational roots

We are given the quadratic equation;

(x - 3)² + (x - 4)² = 0

Now, some of the rules in naming the roots are;

If b² – 4ac > 0, then the roots are real and unequal

If b² – 4ac = 0, then the roots are real and equal

If b² – 4ac < 0 then the roots are unequal and Imaginary

If b² – 4ac > 0 (is a perfect square), then the roots are real, rational and unequal

If b² – 4ac > 0 (is not a perfect square), then the roots are real, irrational and unequal

From the above rules and comparing to our given equations, it is clear that we have two rational roots which are x = 3 and x = 4.

Read more about roots of the Quadratic Equation at; https://brainly.com/question/1214333

#SPJ1

No Extraneous solution

The given equation is

  ( 7x + 6 ) ^ 1/2 - (9 + 4x ) ^ 1/2 = 0

We have to find the value of x

[tex]\sqrt{7x + 6}[/tex] = [tex]\sqrt{9 + 4x}[/tex]

Squaring both sides of the equation

[tex](\sqrt{ 7x + 6} )^{2}[/tex] = [tex](\sqrt{9 + 4x})^{2}[/tex]

7x + 6 = 9 +4x

3x = 3

x = 1

To know whether the value of x is the extraneous solution or not, put the value of x in the equation

[tex]\sqrt{7 * 1 + 6}[/tex] -[tex]\sqrt{ 9 + 4 * 1}[/tex] = 0

[tex]\sqrt{13}[/tex] - [tex]\sqrt{13}[/tex] =0

0 = 0

Therefore there is no extraneous solution to the equation as x = 0 is the solution of the equation.

To know more about the extraneous solution refer to the link given below:

https://brainly.com/question/12361474

#SPJ4

Answer:

The answer is 17/9.

Step-by-step explanation:

5 2/3 = 17/3

3 = 2 3/3

17/3 / 9/3

17/3 * 3/9

= 17/9

Answer:

Step-by-step explanation:

Answer:

This is more than Juan

Step-by-step explanation:

Answer:

Y = - 2

Step-by-step explanation:

The translation rule that maps ABC to  A'B'C' is (x, y) ⇒ (x + 3, y + 6)

Transformation is the movement of a point around the coordinate plane. Types of transformations are rotation, translation, reflection and dilation.

Translation is the movement of a point either up, down, left or right in the coordinate plane.

The translation rule that maps triangle ABC to angle A'B'C' is (x, y) ⇒ (x + 3, y + 6)

Find out more on transformation at: brainly.com/question/13763238

#SPJ1

The simplified expression of  -6√150 is -150√6

The expression is given as

-6√150

Express 150 as 25 * 6

So, we have

-6√150 =  -6√(150 * 6)

Take the square root of 25

So, we have

-6√150 =  -6 * 25√6

Evaluate the product

-6√150 =  -150√6

Hence, the simplified expression of  -6√150 is -150√6

Read more about expression at

https://brainly.com/question/723406

#SPJ1