A controlled experiment is a scientific test conducted under controlled conditions. That is, change only one (or a few) factors at a time and keep all others constant.
Control Experiment:
Controls eliminate alternative explanations for experimental results, particularly experimental error and experimenter bias. Many controls, like molecular markers used in SDS-PAGE experiments, are specific to the type of experiment being performed and may simply have the purpose of confirming that the instrument is functioning properly. I have. Choosing and using appropriate controls and ensuring that experimental results are valid (eg, no confounding variables) can be very difficult. Control measurements can also be used for other purposes. For example, measuring the background noise of a microphone in the absence of a signal allows the noise to be subtracted from later signal measurements to produce a higher quality processed signal.
For example, if a researcher fed a laboratory artificial sweetener to 60 laboratory rats and observed that 10 of them subsequently became ill, the underlying cause could be the sweetener itself or could be something else. Other variables that may not be immediately apparent can interfere with experimental design. For example, an artificial sweetener can be mixed with a diluent, and it could be the diluent that causes the effect.To see the effect of the diluent, he does the same test twice. A diluent with artificial sweeteners and a diluent-only version in the same way. Here the experiment is checked for diluent and the experimenter can distinguish between sweetener, diluent and no treatment. Controls are usually required when confounding factors cannot be easily separated from the primary treatment. For example, a tractor may need to be used to spread manure when there is no other practical way to spread it. The simplest solution is for the tractor to drive over the plot without spreading fertilizer and control the effects of tractor traffic.
The simplest types of controls are negative and positive controls, both of which are found in many different types of experiments. If both are successful, these two controls usually have the most latency. sufficient to eliminate significant confounding variables. That is, an experiment produces a negative result when a negative result is expected and a positive result when a positive result is expected.
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the area of a trapezium is 1440 cm². if the lengths of its parallel sides are 54.6 cm and 35.4 cm, find the distance between them
Answer:
h = 32 cm
Step-by-step explanation:
the area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the distance between the parallel sides b₁ and b₂
given A = 1440 , b₁ = 54.6 , b₂ = 35.4 , then
[tex]\frac{1}{2}[/tex] h (54.6 + 35.4) = 1440 ( multiply both sides by 2 to clear the fraction )
h × 90 = 2880 ( divide both sides by 90 )
h = 32
the distance between the parallel sides is 32 cm
Part B
The table holding Juanita's pennies gets bumped, and the stack becomes slanted.
How is the volume of the stack affected? Explain your reasoning
The volume of the stack affected will be 10,825.38 cubic millimeters.
Let r be the radius and h be the height of the cylinder.
Then the volume of the cylinder will be
V = π r²h cubic units
The table holding Juanita's pennies gets bumped, and the stack becomes slanted.
The radius of the cylinder is given as,
r = 19.05 / 2
r = 9.525 mm
Then the volume of the cylinder is calculated as,
V = π x (9.525)² x 38
V = 3.14 x 90.725 x 38
V = 10,825.38 mm³
The volume of the stack affected will be 10,825.38 cubic millimeters.
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Answer:
The volume of the stack affected will be 10,825.38 cubic millimeters.
Step-by-step explanation:
mr. earl e. bird leaves his house for work at exactly 8:00 a.m. every morning. when he averages 40 miles per hour, he arrives at his workplace three minutes late. when he averages 60 miles per hour, he arrives three minutes early. at what average speed, in miles per hour, should mr. bird drive to arrive at his workplace precisely on time?
if 40 makes him 30 mins late and 60 makes him 30 mins early then it only would make since that in between both 40 and 60 is 50 and that would make him go on time
mr. earl e. bird leaves his house for work at exactly 8:00 a.m. every morning
when he averages 40 miles per hour, he arrives at his workplace thirty minutes late.
when he averages 60 miles per hour, he arrives thirty minutes early.
at what average speed, in miles per hour, should mr. bird drive to arrive at his workplace precisely on time?
if 40 makes him 30 mins late and 60 makes him 30 mins early then it only would make since that in between both 40 and 60 is 50 and that would make him go on time
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Why is it called absolute value?
The absolute value is always a positive value and not a negative number. so those numbers are called absolute values.
The absolute value (or modulus) |x| of a real number x is the non-negative value of x without regard to its sign.
It is represented as |a|, which defines the magnitude of any integer ‘a’.
it defines removing any negative sign in front of a number and thinking of all numbers as positive.
Absolute value is a term used in mathematics to indicate the distance of a point or number from the origin (zero point) of a number line or coordinate system.
When x itself is negative (x<0), then its absolute value is necessarily positive
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you have been told to reduce your department by 15%. your department has 220 workers. there are 512 workers in the whole company. how many workers must be let go (round to the nearest worker)?
To reduce your department by 15%, you would need to let go of 33 workers.
Reducing a department by 15% means that 15% of the current workforce in that department will be let go. To calculate this, you first need to determine the percentage of the total workforce that your department represents. In this case, your department has 220 workers out of 512 workers in the whole company, which represents 43% of the total workforce.
Then, you can calculate the number of workers that need to be let go by multiplying the total number of workers in your department by the percentage that needs to be cut. In this case, that would be
220 x 0.15 = 33 workers
This means that 33 out of the 220 workers in your department would need to be let go in order to achieve a 15% reduction.
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what do you think about the proposed new york city ban on sugary soft drinks larger than 16 ounces? think about both sides of the argument, and give pros and cons.
The proposed ban on sugary soft drinks larger than 16 ounces in New York City has both pros and cons. Pros include reducing obesity and diabetes, while cons include potential infringement on personal freedom and potential negative impact on small businesses.
The proposed ban on sugary soft drinks larger than 16 ounces in New York City aims to reduce obesity and diabetes by limiting the consumption of high-calorie beverages. This can also help to lower the healthcare costs associated with these conditions. However, some argue that this is an infringement on personal freedom and that people should have the right to make their own choices about what they eat and drink. Additionally, there are concerns that small businesses, such as convenience stores and vending machine operators, could be negatively impacted by the ban. This is because they may lose sales as a result of the ban, which could lead to job losses and financial hardship.
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What is the value of 0 infinite?
The value of 0/infinity is Zero but not undetermined value.
Generally zero in numerator and any other number in the denominator gives the result zero always. i.e 0/ x where x is any other number and the number can be real, imaginary or complex. But the case with infinity is different as zero upon infinity gives the result as zero only it's because infinity is never can be a member of set of number. Because infinity is just an expression that is greater than any assignable quantity or countable number. In mathematics, the concept of infinity describes something larger than the natural number. It usually describes something without a limit. This concept is not only used in the mathematics but also in physics. In mathematics and physics, this concept is utilized in a wide range of fields. The term infinity can also be employed for an extended number system.
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Calculate the potential energy of a 50kg boulder at the ledge of a cliff 250m high (using guess method)
The potential energy of a 50kg boulder at the ledge of a cliff 250m high is 122500 J.
Potential energy is the energy carried by an object because of its position relative to other objects, stresses within itself, its electric charge, or other factors.
The PE energy of a boulder 250 m from the ground is given by the formula
PE = h x m x g where h is the height above the ground, m is the mass, and g is the acceleration of gravity.
Putting the given values in the equation
PE = 250m x 50 kg x 9.8 m/s² = 122500 J
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A coin has been weighted, so that the probability of getting a head is 2/5 and the probability
of getting a tail is 3/5. The coin is thrown twice. Determine the probability of obtaining:
a) 2 heads b) at least one head
Answer:
6/5
Step-by-step explanation:
easy as pie because 3/5x2=6/5
Answer:
Step-by-step explanation:
Josh is hiking Glacier National Park. He has now hiked a total of
17
km
17 km17, start text, space, k, m, end text and is
2
km
2 km2, start text, space, k, m, end text short of being
1
2
2
1
start fraction, 1, divided by, 2, end fraction of the way done with his hike.
Write an equation to determine the total length in kilometers
(
ℎ
)
(h)left parenthesis, h, right parenthesis of Josh's hike.
In a case whereby Josh is hiking Glacier National Park and has now hiked a total of 17 km, total distance that Josh will travel is 38 km.
How can we know the total distance travel?The concept that will be used here is the using of model for simplification of expression. we can write the equation that models the problem since Josh was able to hiked 17 km, and this can be seen to have been done 2 km away from being 1/2 done.
An the model can appear as 17 + 2 = (1/2)h
where h =length of the hike.
then we can solve for h,
17 + 2 = (1/2)h
19 =0.5h
h = 38 km
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The properly written question:
Josh is hiking Glacier National Park. He has now hiked a total of 17 \text{ km}17 km17, space, k, m and is 2 \text{ km}2 km2, space, k, m short of being \dfrac12 2 1 start fraction, 1, divided by, 2, end fraction of the way done with his hike.
Can you have a triangle with 2cm 3cm 5cm Class 7?
No , we cannot have a triangle with 2cm , 3cm and 5cm , because the sum of two sides is not greater than the other sides .
What is a Triangle ?
A triangle can be defined as the closed figure , that is made up of three line segments .
The Condition for any three sides to form a triangle : the sum of any two sides of triangle should be greater than the third side .
The sides of triangle are given to be : 2cm , 3cm and 5cm ;
on adding the two sides ,
we get ;
⇒ 2 + 3 = 5 > 5 ; False
⇒ 3 + 5 = 8 > 2 ; True
⇒ 2 + 5 = 7 > 3 ; True
All the conditions are not met ,
Therefore , the given sides cannot form a triangle .
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A radio station is giving away free t-shirts to students in local schools. It plans to give away 40 shirts at Big Sky Middle School and 75 shirts at High Peaks High School. Big Sky Middle School has 350 students, and 800 students attend High Peaks High School.
a. What is the probability of getting a t-shirt if you are a student at the middle school?
b. What is the probability of getting a t-shirt if you are a student at the high school?
c. Are you more likely to get a t-shirt if you are a student at the high school, or at the middle school?
A student at Big Sky Middle School are more likely to get a t-shirt than a student at High Peaks High School.
(a) To calculate the probability of getting a t-shirt if you are a student at the middle school, we divide the number of t-shirts being given away by the number of students at the school.
Probability of getting a t-shirt at the middle school = 40 / 350 = 4/35 = 0.114 or 11.4%.
(b) To calculate the probability of getting a t-shirt if you are a student at the high school, we divide the number of t-shirts being given away by the number of students at the school.
Probability of getting a t-shirt at the high school = 75 / 800 = 3/32 = 0.094 or 9.4%.
(c) From the above calculations, it is clear that you are less likely to get a t-shirt if you are a student at the high school (9.4%) than at the middle school (11.4%).
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How do I do this step by step
Answer:
84
Step-by-step explanation:
this is an isosceles triangle so the base angles are equal meaning <BAC= <BCA =48°
48° +48° =96°
180°- 96° = 84°
<ABC = 84°
The area of a square is 14 times as large as the area of a triangle. One side of the triangle is 7 inches long, and the altitude to that side is the same length as a side of the square. Find the length of a side of the square. Also find the areas of both figures, and be sure that your answer checks.
Answer:
L^2 = area of square = As
As = 14 L H / 2 where L H /2 = area of triangle
L^2 = 14 L H / 2
H = L / 7 or L = 7 H
Let the length of one side of square = 7 in
As = 7^2 = 49 in^2 area of square
H = 7 height of one side of triangle (other side = 1)
Area of triangle = 7 * 1 / 2 = 7/2 in^2
14 * At = 49
Area of square 7 * 7 = 49 in^2 Seems to checkout
What is the solution of the system?
4g + h = -4
12g + 2h = -4
Enter the coordinate pair in the blanks in alphabetical order (g, h) (_, _)
The coordinate pair of the given solution of the system would be= (g, h) (1,-8).
What is the substitution equation?Substitution equation is defined as the equation that can be solved when a value is being solved and substituted for the other missing value to be gotten.
4g + h = -4 ---->. eq 1
12g + 2h = -4 ----> eq 2
Make h the subject of formula;
h = -4 - 4g -----> eq 3
Substitute equation 3 into equation 2;
12g + 2( -4 - 4g) = -4
12g - 8 -8g = -4
4g -8 = -4
4g = -4 +8
4g = 4
g = 4/4= 1
Solve for g = 1 in equation 1;
4(1) + h = -4
4 + h = -4
h = -4-4
h = -8
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Please help now ASAP
Answer:
A quadrilateral is a parallelogram if and only if opposite angles are equal.
So, to make the quadrilateral a parallelogram, we can set the following equalities:
(4x + 13) deg = (5x - 12) deg
(4y + 7) deg = (3x - 8) deg
Solving the first equation,
4x + 13 = 5x - 12
x = -5
Solving the second equation,
4y + 7 = 3(-5) - 8
4y + 7 = -17
4y = -24
y = -6
So, the values of x and y that make the quadrilateral a parallelogram are x = -5 and y = -6
Find the non-zero value of $c$ for which there is exactly one positive value of $b$ for which there is one solution to the equation $x^2 + \left(b + \frac 1b\right)x + c = 0$
The value of c in the quadratic = 1.
From this equation, we can easily see that for this equation to have one possible answer, this equation must be a perfect square trinomial, which results from an equation of the form [tex](x+1)^{2}[/tex].
We also know that [tex]b+\frac{1}{b}[/tex] is equal to the sum of the roots (since the coefficient of [tex]x^{2} = 1[/tex]) and the product of the roots = c.
We easily know that in a quadratic [tex]ax^{2} +dx+c=0[/tex], if this quadratic is a square, then [tex]\frac{d}{c} = \frac{2\sqrt{c} }{c}[/tex]
[tex]2\sqrt{c} = b + \frac{1}{b}[/tex]
We know that c is a perfect square, so that means [tex]b+\frac{1}{b}[/tex] has to have an integer value, and the only way this is possible is if b = 1.
Therefore, if b = 1,
[tex]2\sqrt{c} = b + \frac{1}{b}\\\sqrt{c} = 1\\c = 1[/tex]
Therefore, the value of c in the quadratic = 1.
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Please hurry! Help and hurry ! But no false answer !
Answer:
50.3 square units
Step-by-step explanation:
area of rectangle: 11 x twice the radius
radius = 2
A(rect): = 11(4) = 44 sq units
A (semi-circle) = (π·r²) / 2
A = 4π / 2 = 2π = 6.28 sq units
44.0 + 6.28 = 50.28
Can you please find the value of f(4)?
The value of f(4) is -122.
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,
f(1) = 5
f(n) = -3 x f(n - 1) + n
Now,
For n = 4,
f(4) = -3 x f(4 - 1) + 4
f(4) = -3 x f(3) + 4
f(4) = -3 x f(3) + 4 ______(1)
We need to find f(3).
For n = 3,
f(3) = -3 x f(3 - 1) + 3
f(3) = -3 x f(2) + 3 _____(2)
We need to find f(2).
For n = 2,
f(2) = -3 x f(2- 1) + 2
f(2) = -3 x f(1) + 2
f(2) = -3 x 5 + 2
f(2) = -15 + 2
f(2) = -13
Substituting f(2) = -13 in (2)
f(3) = -3 x -13 + 3
f(3) = 39 + 3
f(3) = 42
Substituting f(3) = 42 in (1)
f(4) = -3 x f(3) + 4
f(4) = -3 x 42 + 4
f(4) = -126 + 4
f(4) = -122
Thus,
f(4) = -122.
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Evaluate the line integral, where C is the given curve.∫C xyds, C:x = t2,y = 2t, 0 ≤ t ≤ 3
On solving the provided question, we can say that integral so the value = (2/108) [429981697] = 7962624,02
what is integral?In mathematics, integrals translate integers into functions that express concepts like displacement, area, and volume that result from the combination of little facts. Integral discovery is a process that is referred to as integration. Integrals are mathematical constructs that, in calculus, have the same meaning as areas or generalized versions of areas
∫C) y³ × ds = 7962624,02 surface units
F (r(t)) = y³ . = t³ . r ( t³ , t ) then . dr/dt = (3×t² , 1 )
|| dr/dt|| = √ ( 3×t²)² + (1)²
|| dr/dt|| = √9×t⁴ + 1
∫C) y³ × ds = ∫∫R) F(r(t) × dr . = ∫₀⁴ t³ ×√9×t⁴ + 1 ×dt
9×t⁴ + 1 = v . then . 36×t³ ×dt = dv
And when t = 4 . then . v = 9×(4)⁴ + 1 . = 2305
integral
∫₁²³⁰⁵ [ 1/36)× √v × dv . = (1/36) ×∫₁²³⁰⁵ (v)¹/² dv
= (1/36)×(2/3) × v³/² |₁²³⁰⁵ = (2/108)× √v³|₁²³⁰⁵ =
= (2/108) [ √( 9×t⁴ + 1 )³|₀⁴ = (2/108) [ √( 9⁴×4¹⁶ + 1 - √(9)⁴×0 + 1)
= (2/108) [√( (9⁴×4¹⁶ + 1 ) . + 1 ]
= (2/108) [429981697]
= 7962624,02
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a mathematical organization is producing a set of commemorative license plates. each plate contains a sequence of five characters chosen from the four letters in aime and the four digits in $2007$. no character may appear in a sequence more times than it appears among the four letters in aime or the four digits in $2007$. a set of plates in which each possible sequence appears exactly once contains $n$ license plates. find $\frac{n}{10}$.
On solving the provided question we can say that there are 7!/(7-5)! potential sequences if 0 appears 0 or 1 times in the sequence.
what is a sequence?A collection of numbers, or "terms," is referred to as a sequence. Examples of terms are 2, 5, and 8. Some sequences can be made endlessly lengthy by taking advantage of a particular pattern they follow. Use the example of 2,5,8 and add 3 to continue the sequence. There are formulas that demonstrate where to look for words within a sequence. A collection of objects that are in some order is known as a sequence in mathematics (or events). It resembles a set in that it contains pieces (also called elements or terms). The entire, perhaps infinite number of ordered objects are referred to as the sequence's length. the act of placing two or more items in a logical order. Chronological.
N/10 has a value of 372.
The letters can be selected from the words "AIME" or "2007."
The only number that can be repeated twice is 0; there are seven different characters that can be chosen.
There are 7!/(7-5)! potential sequences if 0 appears 0 or 1 times in the sequence.
There are 2520 possible sequences if 0 appears 0 or 1 times in the sequence.
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Please answer within 10 min! The information is in the picture.
Answer:
CD = 3/√2 in
Step-by-step explanation:
You want the measure of altitude CD in isosceles right triangle ACB with the right angle at C.
Similar trianglesAll of the isosceles right triangles in this figure are similar, and all have sides in the ratio 1 : 1 : √2.
In ∆BCD, side BC is the longest, given as 3 in. That means the other two sides of that triangle are ...
CD = BD = CB/√2
CD = 3/√2 in
__
Additional comment
Often, we like to rationalize the denominator of expressions involving roots. That would make the expression for CD be ...
CD = 3/√2 = (3/2)√2 = 1.5√2
<95141404393>
"Please help me out with this one !!! Evaluate the integral.1∫0r3over⩗ 16 + r2dr
The provided integral may be expressed as follows using the following statement as a guide: 128/3 - 31 [tex]\sqrt{17}[/tex] /3
What is the definition of an integral?An integral in mathematics is either a number that depicts the area underneath the graph of a function over a specific period of time or a about before, the reversed of which includes the initial result (indefinite integral). To complete the whole, an essential component is required. The term crucial is a close synonym in this context. Integrals of functional and equations are a concept in mathematics. The word "aal" is derived from Middle English, which is derived from Latin Word integralis "thinking up unity," from Latin "with, entire."
To find [tex]$\int_0^1 \frac{r^3}{\sqrt{16+r^2}} d r$[/tex]
Put [tex]$16+r^2=t^2$[/tex]
[tex]$2 r d r=2 t d t$[/tex]
[tex]$r d r=d t$[/tex]
[tex]$r=0 \Rightarrow t=4$[/tex]
[tex]$r=1 \Rightarrow t=\sqrt{17}$[/tex]
[tex]$\int_0^1 \frac{r^3}{\sqrt{16+r^2}} d r=\int_4^{\sqrt{17}} \frac{t^2-16}{t} t d t$[/tex]
[tex]$=\left[\frac{t^3}{3}-16 t\right]_4^{\sqrt{7}}$[/tex]
[tex]$=\frac{(\sqrt{17})^3}{3}-16(\sqrt{17})-\frac{(4)^3}{3}+64$[/tex]
[tex]$=\frac{128}{3}-\frac{31 \sqrt{17}}{3}$[/tex]
[tex]$\int_0^1 \frac{r^3}{\sqrt{16+r^2}} d r=\frac{128}{3}-\frac{31 \sqrt{17}}{3}$[/tex]
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Solve for x. Round to the nearest tenth, if necessary.
By using trigonometric relations, we can see that the angle x on the right triangle is:
x = 62.96°
How to find the value of x on the right triangle?On the image, we can see a right triangle, and we want to find the value of x, which is the measure of an angle on the right triangle.
On the given triangle we can see that the hypotenuse measures 77 units, and the adjacent cathetus to the angle has a measure of 35.
Then we can use the trigonometric relation:
cos(x) = (adjacent cathetus)/(hypotenuse)
Replacing the values that we know:
cos(x) = 35/77
Now we can apply the inverse cosine function in both sides:
Acos(cos(x)) = Acos(35/77)
x = Acos(35/77) = 62.96°
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does it make sense that the number of cats falling frm the 5th floor would be greater than those of the 4th
Yes, it makes sense that the number of cats falling from 5th floor would be greater since the terminal velocity of the cat would be greater at higher altitudes.
What is velocity?The pace at which an object's location changes in relation to a frame of reference and time is what is meant by velocity. Although it may appear sophisticated, velocity is just the act of moving quickly in one direction. Since it is a vector quantity, the definition of velocity requires both magnitude (speed) and direction.
What is altitude?A distance measurement between a reference datum and a point or object, typically in the vertical or "up" direction, is known as altitude, height, or depth.
The terminal velocity of the cat would be greater at higher altitudes; hence cats have higher risk of falling from heights.
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The point (-3,2) was transformed under a dilation of 4 with respect to the origin. What’s the image point?
The image point of the point is (-12,8)
How to determine the image pointA dilation is a transformation that changes the size of a figure but not its shape.
In a dilation with respect to the origin, a point (x, y) is transformed to a point (kx, ky) where k is a scale factor.
In this case, the point (-3, 2) is transformed under a dilation of 4 with respect to the origin.
So the image point is (kx, ky) = (-34, 24) = (-12, 8)
So the image point of (-3,2) under a dilation of 4 with respect to the origin is (-12,8)
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Sia deleted 9/10 of her email messages.if she deleted 72 e-mails messages ,how many did she originally have?
Answer:
She had 80 emails.
Step-by-step explanation:
11 Mark the givens in the diagram. Then copy the proof on paper, and fill in the blanks to complete the proof. Chapter Reference c Given that AR ∩ DC = M, AD = RC and ∠A ≅ ∠R, prove that △MAD ≅ △MRC. A D M R C 1. AD = ____ 1. Given 2. ∠A ≅ ∠____ 2. Given 3. ∠AMD ≅ ∠____ 3. ________ 4. △MAD≅ △____ 4. ________ Answer: 1. AD = RC 1. Given 2. ∠A≅∠ 2. Given 3. ∠ AM D = ∠ 3. 4. △ MAD ≅△ 4.
Answer:
AD=RC, GIVEN
∠A≅∠R GIVEN
∠AMD=∠RMC VERtical angles
△MAD≅△MRC ASA/SAA
Step-by-step explanation:
Can the three sides of length 6cm 5cm and 3cm form a triangle give reason for your answer?
yes
the two shortest lengths are longer than the longest lenght
when added
5+3=8
8>6
Lucia is comparing monthly cell phone plans. Each plan will include a total of 6. 5% fees and taxes on the subtotal.
Features Plan A Plan B Plan C
Unlimited talk, text, regular data $52. 00 $50. 00 $48. 00
Unlimited high speed data Included in base price $10. 00 $12. 00
Hotspot $8. 00 Included in base price Not offered
Using the information provided, determine which plan is the least expensive
Answer:
Step-by-step explanation:
Plan C is the least expensive plan, as it has the lowest subtotal of $48.00 plus 6.5% fees and taxes.
