Answer:
x=-2(3-2√2), -2(3+2√2)
distinguish between the following terms: a.sensitivity and detection limit b.loq and limit of linearity c.quantitation by calibration curve and the method of standard addition. d.confidence interval and confidence limits
These terms describe various aspects of quantitative analysis and measurement in different scientific fields such as analytical chemistry, biology, and statistics.
A. Sensitivity - the ability of a measurement method or instrument to detect small changes in the quantity being measured.
B. Detection limit - the minimum amount of a substance that can be reliably detected by a measurement method or instrument.
C. LOQ (Limit of Quantitation) - the minimum concentration of a substance that can be accurately quantified by a measurement method or instrument.
D. Limit of Linearity - the range of concentrations of a substance over which the measurement method or instrument produces proportional results.
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Distinguish between the following terms:
A. sensitivity and detection limit
B. Log and limit of linearity
C. quantitation by calibration curve and the method of standard addition.
D. confidence interval and confidence limits
Draw the right bisector of the line AB 7. 6 cm by using a pair of compasses
Right Bisector also known as Perpendicular Bisector is a line that bisects another line segment at a right angle, through the intersection point.
First we will draw a line segment AB = 7 cm with the help ruler, then with vertex A, by using compass take more than half of AB and draw arcs, one each side of AB and mark them X and Y and then with vertex B, by using compass with same length again, cut the previous arcs at X and Y respectively.
Now, with help of ruler join the point X and Y. Thus XY is the perpendicular bisector of line AB.
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how would you describe the output of the graph for:
inputs from 0 to 1
inputs from 3 to 4
We can describe the output of the graph for:
inputs from 0 to 1 - slow output.inputs from 3 to 4 - rapid output.What is a Graph?This is referred to as a pictorial representation or a diagram that represents data or values in an organized manner.
From the graph given, we can deduce that the variation at 0-1 curve is small while the variation at 3-4 curve is large which is therefore the reason why slow and rapid output were chosen respectiviely.
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Which transformation maps △UVW to △EFG?
The transformation that maps △UVW to △EFG is (d) (x, y) = (-2x, -2y)
How to determine the transformationFrom the question, we have the following parameters that can be used in our computation:
The figure
From the figure, we can see that
Triangle EFG is twice the triangle UVW in side lengths
This means that
(x, y) = (2x, 2y)
The orientations are 180 degrees apart
So, we have
(x, y) = (-2x, -2y)
Hence, the transformation is (d) (x, y) = (-2x, -2y)
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An arithmetic sequence begins with 65, 56, 47, 38, 29 … Which option below represents the formula for the sequence? f(n) = 56 − 9(n) f(n) = 56 + 9(n −1 ) f(n) = 65 + 9(n −1 ) f(n) = 65 − 9(n − 1)
The formula (D) f(n) = 65 − 9(n − 1) represents the arithmetic sequence for 65, 56, 47, 38, 29 ….
What is an arithmetic sequence?An arithmetic sequence is one in which each phrase grows by adding or removing a certain constant, k.
In a geometric sequence, each term rises by dividing by or multiplying by a certain constant k.
For instance, a1 = 25 and a(n) = a(n-1) + 5.
Each word in an arithmetic sequence increases by adding or subtracting a certain constant, k.
As opposed to a geometric sequence, where each term is increased by dividing or multiplying a certain constant k, this one does not.
For instance, a(n) = a(n-1) + 5 and a1 = 25.
So, we have the sequence:
65, 56, 47, 38, 29 …
Now, the difference is 65 - 56 = -9
Now, the first term is 65.
Then, the equation which represents its formula is f(n) = 65 − 9(n − 1).
Therefore, the formula (D) f(n) = 65 − 9(n − 1) represents the arithmetic sequence for 65, 56, 47, 38, 29 ….
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Complete question:
An arithmetic sequence begins with 65, 56, 47, 38, 29 … Which option below represents the formula for the sequence?
(A) f(n) = 56 − 9(n)
(B) f(n) = 56 + 9(n −1 )
(C) f(n) = 65 + 9(n −1 )
(D) f(n) = 65 − 9(n − 1)
consider the two statements a. a iff b. b. (not a) iff (not b). under what circumstances are these statements true? under what circumstances are they false? explain why these statements are, in essence, identical.
The two statements a iff b and (not a) iff (not b) has been explained
The two statements are known as biconditionals, which state that two statements are true if and only if each other.
"a iff b" means that "a" is true if "b" is true, and "a" is false if "b" is false. In other words, "a" and "b" have the same truth value.
"(not a) iff (not b)" means that "not a" is true if and only if "not b" is true, and "not a" is false if and only if "not b" is false.
Therefore, these two statements are equivalent because they express the same idea: "a" and "b" have the same truth value. If "a" is true, then "b" is true, and if "a" is false, then "b" is false. Similarly, if "b" is true, then "a" is true, and if "b" is false, then "a" is false.
These statements are true in cases where both "a" and "b" have the same truth value. If both are true or both are false, then the statements are true. If "a" is true and "b" is false, or vice versa, then the statements are false.
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13 AM
23.
Big Ideas
You make necklaces and key chains to sell at a
crafts fair. The table shows the amounts of time
and money it takes to make a necklace and a
key chain, and the amounts of time and money
you have available for making them.
Time
(hours)
Cost
(dollars)
Necklace Key
0.5
2
O 0.52 +0.25y ≤ 20
O 0.5x+0.25y ≥ 20
2x+3y ≤ 120
2x+3y ≥ 120
Ox+y ≥ 20
chain
0.25
3
Available
Let a represent the number of necklaces and y
represent the number of key chains you make.
Given z>0 and y ≥ 0, select all the
inequalities that represent the situation.
AirF 2023Algebra 1 MOY Items Question #27
20
120
Which combinations of
necklaces and key chains can
you make given the situation?
Select all that apply.
30 necklaces and 20
key chains
50 necklaces and 10
key chains
30 necklaces and 30
key chains
40 key chains
60 necklaces
All the inequalities that represent the situation are as follows;
A. 0.5x + 0.25y ≤ 20.
C. 2x + 3y ≤ 120.
A combinations of necklaces and key chains you can make given the situation include the following:
A. 30 necklaces and 20 key chains.
How to write the required system of linear inequalities?In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of necklaces and number of key chains respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of necklaces.Let the variable y represent the number of key chains.Based on the table of values (see attachment) and given x ≥ 0 and y ≥ 0, a system of linear inequalities to describe this situation include the following:
0.5x + 0.25y ≤ 20.
2x + 3y ≤ 120.
Next, we would use an online graphing calculator to plot the above system of linear inequalities in order to determine its solution as shown in the graph attached below.
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You buy 3 packs of toilet paper for $8.53 each. How much do you spend?
Answer: $25.59
Step-by-step explanation: you can multiply 3 times 8.53 which comes too $25.59 but we can add as well.
8.53 + 8.53= 17.06 Now we have to add it 1 more time soo
17.06 + 8.53= $25.59..
Hope this helps :)
June has decided to take up quilting. She bought a sewing machine for $135. It costs her $11.75 in raw materials to make a quilt, and she can sell a quilt for $28.50.
Which of the following graphs best illustrates June’s situation?
Answer: The best graph to illustrate June's situation is a cost-volume-profit (CVP) graph, which shows the relationship between the revenue, cost, and volume of goods sold.
In June's case, her fixed costs (the cost of the sewing machine) are constant and do not change regardless of the number of quilts she makes and sells. Her variable costs (the raw materials) are directly proportional to the number of quilts she makes and sell. Her revenue is directly proportional to the number of quilts she sells.
The CVP graph will show a line representing fixed costs, a line representing variable costs, and a line representing revenue. The point at which the total costs (fixed costs + variable costs) equal the revenue represents the break-even point, at which June neither makes a profit nor incurs a loss. Beyond this point, June will make a profit, and before this point, she will incur a loss.
The CVP graph can be used to determine the break-even point and to make predictions about the future financial performance of a business, based on changes in volume, costs, or price.
Step-by-step explanation:
Neeeeeed hellppppppppll
Answer:yes
Step-by-step explanation:correct becuase
Answer:
Answer is ADB
Step-by-step explanation:
I believe that's the answer
Tickets to a movie costs $7. 25 for adults and $5. 50 for students
how many pattern block trapezoids would create 5 hexagons
There would be 30 trapezoids to create 5 hexagons.
An hexagon is a six-sided polygon. It is made up of six equilateral triangles and six trapezoids. To create an hexagon using pattern blocks, you need 10 equilateral triangles and 20 trapezoids. Therefore, to create 5 hexagons
The exact number of trapezoids needed to create three hexagons depends on the size and shape of the hexagons. However, in general, you would need at least 18 trapezoids.
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To create 5 hexagons using pattern block trapezoids, you would need 15 trapezoids. This is because 3 trapezoids form one hexagon.
Explanation:In geometry, a hexagon can be divided into 6 equilateral triangles. In the context of pattern blocks, these triangles are often used to construct other shapes. Now, considering that a trapezoid in pattern blocks is usually made up of 2 of these triangles, it takes 3 trapezoids to create one hexagon. Hence, to create 5 hexagons, you would need 5 x 3 trapezoids, which equals 15 trapezoids.
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determine if its a depicts a function or not
The relations that are functions are 2, 3, 4, 5, 6, and 7.
The ones that aren't functions are 1 and 8.
Which relations are functions?A relationship maps elements from one set (the domain) into elements from another set (the range), and a relation is a function only if each element of the domain is mapped into only one value of tha range.
For example, if you look at the relation 8, you can see that the input x = 1 is mapped into two different outputs, then this is not a function.
With that in mind, the options that are functions are:
2, 3, 4, 5, 6, and 7.
The ones that aren't functions are 1 and 2.
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Find the measure of each angle in the problem. 5) Complementary angles with measures 3x and 6x - 18 degrees
The measure of each angle in complementary angles with measures 3x and 6x - 18 degrees is 36° and 54°.
We are given two angles 3x and 6x - 18 and these angles are complementary angles.
Complementary angles are those whose combined angle is 90 degrees or less. In other terms, two angles are said to be complimentary if they combine to make a right angle.
So, sum of 3x and 6x - 18 is 90°
3x + 6x - 18 = 90°
9x = 108°
x = 12°
So, 3x = 3 × 12 = 36°
6x - 18 = 6 × 12- 18 = 54°
Hence, the measure of each angle is 36° and 54°.
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A researcher studied the relationship between the number of times a certain species of cricket will chirp in one minute and the temperature outside. Her data is expressed in the scatter plot and line of best fit below. Based on the line of best fit, what temperature would it most likely be outside if this same species of cricket were measured to chirp 120 times in one minute?
Solve. -9+4 - 6 + (-11)
Answer:
-9+4-6+(-11)=-9+4-6-11=-22
first -9+4 is -5-6=-11then-11 = -22
The double-reciprocal transformation of the Michaelis-Menten equation, also called the Lineweaver- Burk plot, is given by
1/V_0 = K_m /(V_max[S]) + 1/V_max
To determine Km from a double-reciprocal plot, you would:
A) multiply the reciprocal of the x-axis intercept by -1.
B) multiply the reciprocal of the y-axis intercept by -1.
C) take the reciprocal of the x-axis intercept.
D) take the reciprocal of the y-axis intercept.
E) take the x-axis intercept, where V_0 = 1/2 V_max.
To determine Km from a double-reciprocal plot, you would choose option (A) which is to multiply the reciprocal of the x-axis intercept by -1.
In the double-reciprocal plot equation, the x-axis intercept is -1/Km, and the y-axis intercept is 1/Vmax. Therefore, if you take the reciprocal of the x-axis intercept, you get -Km, and multiplying it by -1 gives you Km.
This method is preferred because it is more accurate than estimating Km based on the position of the curve on the plot or by taking the x-axis intercept where V0 = 1/2 Vmax, which can be influenced by experimental error.
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Sue bought a dress that normally cost $50 .00 it was on sale for 25% off How much did she save?
Answer: 25% of 50 is 25/2 or 12½ as a fraction and 12.5 as a decimal.
Let's find 25% of 50.
Explanation:
25% of 50 can be written as 25% × 50
= 25/100 × 50
= 25/2 = 12½ = 12.5
Thus, 25% of 50 is 25/2 or 12½ as a fraction and 12.5 as a decimal.
4. Which of these is the most helpful first step for solving Fran's equation, 2x + 28 = 40? (1 point)
Circle the best answer.
⦁ Multiply both sides by 2
⦁ Subtract 28 from both sides
⦁ Divide both sides by 2
⦁ Add 28 to both sides
subtract 28 from both sides ....
2x+28-28=40-28
2x= 12
x=12 Ans........
thank you!
Indicate whether each value will make the inequality 15<3x true. Drag True or False to the appropriate values: 5.6,5,3,6,7 3/4,4.5.
Answer:
So, for the values 5.6, 6, and 7, the inequality 15 < 3x is true. For the values 5, 3, 3/4, and 4.5, the inequality 15 < 3x is false.
Step-by-step explanation:
For the inequality 15 < 3x to be true, 3x must be greater than 15. To determine whether each value will make the inequality true, we can substitute each value for x and see if the inequality holds.
For x = 5.6, 3x = 16.8, which is greater than 15, so the inequality is true and the value 5.6 makes the inequality true.
For x = 5, 3x = 15, which is equal to 15, so the inequality is false and the value 5 does not make the inequality true.
For x = 3, 3x = 9, which is less than 15, so the inequality is false and the value 3 does not make the inequality true.
For x = 6, 3x = 18, which is greater than 15, so the inequality is true and the value 6 makes the inequality true.
For x = 7, 3x = 21, which is greater than 15, so the inequality is true and the value 7 makes the inequality true.
For x = 3/4, 3x = 2.25, which is less than 15, so the inequality is false and the value 3/4 does not make the inequality true.
For x = 4.5, 3x = 13.5, which is less than 15, so the inequality is false and the value 4.5 does not make the inequality true.
So, for the values 5.6, 6, and 7, the inequality 15 < 3x is true. For the values 5, 3, 3/4, and 4.5, the inequality 15 < 3x is false.
reid takes a 2 quart pitcher of lemonade to the table and pours it all equally into 9 glasses how much lemonade went in each glass?
If reid takes a 2 quart pitcher of lemonade to the table and pours it all equally into 9 glasses, each glass contains approximately 0.888 cups (or 7/8 cups) of lemonade.
The problem states that Reid has a 2 quart pitcher of lemonade, which is equivalent to 8 cups. This is because there are 4 cups in one quart, so 2 quarts would be 2 x 4 = 8 cups.
Reid pours this entire amount of lemonade equally into 9 glasses. This means that the amount of lemonade in each glass will be the same. To find out how much lemonade goes in each glass, we need to divide the total amount of lemonade by the number of glasses.
We can use the following formula:
amount per glass = total amount / number of glasses
Plugging in the values we know, we get:
amount per glass = 8 cups / 9
Dividing 8 cups by 9 gives us a decimal value of 0.888..., which means that each glass contains approximately 0.888 cups of lemonade. This value is an approximation, since we rounded to the nearest thousandth place.
We can also express this value as a fraction by simplifying 0.888... as follows:
0.888... = 888.../1000...
= 8/9
Therefore, we can say that each glass contains 7/8 cups or approximately 0.888 cups of lemonade.
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Coins are placed into a treasure chest, and each coin has a radius of 1.6 inches and a height of 0.0625 inches. If there are 170 coins inside the treasure chest, how many cubic inches of the treasure chest is taken up by the coins? Round to the nearest hundredth and approximate using π = 3.14.
341.63 in3
106.76 in3
85.41 in3
0.50 in3
963.9 in³ cubic inches volume of the treasure chest is taken up by the coins .
What does math's volume mean?
The volume of a 3D object is the amount of actual space it occupies. It is a 2D shape's 3D equivalent of area. Cubic units, such as cm3, are used to measure it. You may calculate this by multiplying its length, height, and width.
Remember that the volume of a cylinder is given by:
volume = (height)*pi*(radius)^2
Where pi = 3.14
Then here the volume of each coin is:
V = (0.0625 in)*3.14*(1.7 in)^2 = 5.67 in³
And there are 230 coins, so the total volume is
V = 170 * 5.67 in³
= 963.9 in³
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Answer:
Step-by-step explanation:
the answer is 85.41 in^3
I got it right and I got to flvs .
Money McGuire invests $50.00 in an account that she expects to double each year. How long will it take her investment to reach $3,200.00?
Answer:
6 years
Step-by-step explanation:
You want the length of time it takes for a $50 investment to total $3200 if it doubles in value each year.
Exponential equationThe value of the investment can be described by ...
v = 50·2^t
where t is the number of years.
You want t when v=3200:
3200 = 50·2^t
64 = 2^t
log(64) = t·log(2) . . . . . take logarithms
t = log(64)/log(2) = 6
It will take 6 years for her investment to reach $3200.
__
Additional comment
If you're familiar with powers of 2, you recognize that 64 = 2⁶. Comparing exponents in ...
64 = 2^t
2^6 = 2^t . . . . . use 2^6 for 64
we can see that t=6. The logarithms are used to formalize this comparison.
help prove they’re equal
By algebra properties and trigonometric formulas, the trigonometric expression (1 + cos x) / (1 - cos x) - (1 - cos x) / (1 + cos x) is equivalent to trigonometric expression 4 · cos x · csc² x.
How to determine the equivalence between two trigonometric expressions
In this problem we need to prove the equivalence between two trigonometric expressions, this can be done by using algebra properties and trigonometric formulas. First, write one side of the expression:
(1 + cos x) / (1 - cos x) - (1 - cos x) / (1 + cos x)
Second, use algebra properties to simplify the expression:
[(1 + cos x)² - (1 - cos x)²] / (1 - cos² x)
Third, expand the resulting expression:
(1 + 2 · cos x + cos² x - 1 + 2 · cos x - cos² x) / (1 - cos² x)
4 · cos x / (1 - cos² x)
Fourth, use trigonometric formulas to simplify the expression:
4 · cos x / sin² x
4 · cos x · csc² x
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Mr. Jones' tally showed that 0.6 of
the students brought in scissors.
What fraction of the students did
not bring in scissors?
Answer:
Mr. Jones' tally showed that 0.6 of the students brought in scissors, so the remaining fraction of students would be 0.4 or 40%, who did not bring in scissors.
Step-by-step explanation:
simple
Answer:
40% of the students did not bring in scissors
Step-by-step explanation:
Since % means out of 1.
0.6 would equal 60%
1.0 - 0.6 = 0.4
Other forms of 0.4 would include:
0.40
40%
2/5s
4/10s
40/100s
solve for y -36=8y+4(y-6)
Answer: y= -1
Step-by-step explanation:
1) Distribute the 4 to the y and the -6 to get 4y-24, so our new equation is -36= 8y+4y-24.
2) Add like terms 8y and 4y to get 12y. Our new equation is -36=12y-24.
3) Remove the constant -24 by adding 24 to both sides to get -12=12y.
4) Remove the coefficient 12 by dividing 12 on both sides to get y= -1
What is the answer to 5x+11
Determine the given lengths in the rectangle
Step-by-step explanation:
AC =18 (ac = bd opposite sides of a rectangle)
AB= 40(AB = CD)
AD = 22 ( ad = cb diagonals of a rectangle)
The Atlas V Rocket could go 1 full mile in just 110 of a second. How fast did it travel?
The speed of the Atlas V Rocket was approximately 8,727.27 miles per hour, based on the given information that it could go one mile in 0.11 seconds.
To find the speed of the Atlas V Rocket, we need to use the formula:
speed = distance / time
In this case, the distance is 1 mile, which is equal to 1609.34 meters. The time is 110th of a second, which is equal to 0.1 seconds (since there are 10 tenths in a second).
So, plugging these values into the formula, we get:
speed = 1609.34 meters / 0.1 seconds
speed = 16093.4 meters per second
Therefore, the Atlas V Rocket traveled at a speed of 16093.4 meters per second.
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A
(12x-1)º
(10x)
C
Find m Z A.
(3x+6)°
B
The measure of angle A is 83 degrees.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
In the triangle ABC, ∠A=(12x-1)º, ∠B=10x and ∠C=3x+6
Now we need to find the value of angle A.
We know that from angle sum property that the sum of three angles is 180 degrees.
∠A+∠B+∠C=180
12x-1+10x+3x+6=180
25x+5=180
25x=175
Divide both sides by 25
x=175/25
x=7
Now angle A is 12(7)-1=84-1=83 degrees
Hence, the measure of angle A is 83 degrees.
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The complete question is In Triangle ABC, ∠A=(12x-1)º, ∠B=10x and ∠C=3x+6 then the measure of m∠A
