Answer:
a) Radius: ML
b) Diameter: NQ
c) Chord: OP
d) 18 units
Step-by-step explanation:
Two 28.0 mL samples, one 0.100MHCl and the other of the 0.100MHF, were titrated with 0.200MKOH. Answer each of the following questions regarding these two titrations. What is the volume of added base at the equivalence point for HCl?
The volume of added base at the equivalence point for HCl is 14.0 mL.
Given:
Volume of HCl solution = 28.0 mL = 0.0280 L
Concentration of HCl solution = 0.100 M
Molarity of KOH solution = 0.200 M
Calculation of Moles of HCl:
moles of HCl = Molarity × Volume (L)
moles of HCl = 0.100 M × 0.0280 L
moles of HCl = 0.00280 mol
Calculation of Moles of KOH:
moles of KOH = moles of HCl (at equivalence point)
moles of KOH = 0.00280 mol
Calculation of Volume of KOH:
Volume = moles / Molarity
Volume = 0.00280 mol / 0.200 M
Volume = 0.014 L or 14 mL
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what is 2 and 1/5 as a equivalent
fraction
Answer:
Step-by-step explanation:
Step-by-step explanation:
Firstly, let's get the fractions out of mixed form.
2 1/5 = 11/5
(To do this, multiply 2 times 5 and add to the 1.)
1 5/6 = 11/6
(To do this, multiply 1 times 6 and add to the 5.)
Next, let's get the common denominator. When making a common denominator, keep in mind you must multiply/divide both the numerator and denominator
Anybody help me please
Answer:
Rotation 180° counterclockwise about the origin
Answer:
The second one, I think.
5x-4=-3-x so ya can yall help
Step-by-step explanation:
5x-4=-3-x
5x+x=4+(-3)
6x=1
x=1/6
Answer:
\( \boxed{ \huge{ \bold{ \sf{x = 0.16}}}}\)Step-by-step explanation:
\( \sf{5x - 4 = - 3 - x}\)
Move constant to R.H.S and change it's sign
Similarly, Move variable to L.H.S and change it's sign
⇒\( \sf{5x + x = - 3 + 4}\)
Collect like terms
⇒\( \sf{6x = - 3 + 4}\)
Calculate
⇒\( \sf{6x = 1}\)
Divide both sides of the equation by 6
⇒\( \sf{ \frac{6x}{6} = \frac{1}{6} }\)
Calculate
⇒\( \sf{x = 0.16}\)
Hope I helped!
Best regards!!
Find the x,y,z
For 10points
Answer:
x = y = 110°z = 70°Step-by-step explanation:
You want to know angles x, y, and z in the given figure where parallel lines 'a' and 'b' are crossed by a transversal. The sum of these angles is 290°.
Consecutive interior anglesAngles y and z are called consecutive interior angles. As such, they are supplementary, so their sum is 180°.
x + y + z = 290°
x + 180° = 290°
x = 110°
Vertical anglesAngles x and y are vertical angles, so are congruent.
y = x = 110°
Then z is found from ...
y + z = 180°
110° + z = 180°
z = 70°
The measures of x, y, and z are 110°, 110°, and 70°, respectively.
<95141404393>
Write an equation for each line in point slope form and then convert it to standard form.
30. A- write an equation of the line parallel to x+2y=6 through (8,3)
B- Write an equation of the line perpendicular to x+2y=6 through (8,3)
C-Graph the three lines on the same coordinate plane.
Answer:
A- The point-slope form of a line parallel to another line is given by y - y1 = m(x - x1), where m is the slope of the original line. The slope of the line x+2y=6 is -1/2. So, the equation of the line parallel to x+2y=6 through (8,3) is y - 3 = -1/2 (x - 8), which can be written in standard form as -2x + y = -11.
B- The point-slope form of a line perpendicular to another line is given by y - y1 = -1/m(x - x1), where m is the slope of the original line. The slope of the line x+2y=6 is -1/2. So, the equation of the line perpendicular to x+2y=6 through (8,3) is y - 3 = 1/2 (x - 8), which can be written in standard form as 2x + y = 15.
C- To graph the three lines, we can plot the x- and y-intercepts of each line and then draw a line through the points.
The x-intercepts are (-11/2,0), (0,-15), (0,-11) and the y-intercepts are (0,3), (0,7.5) and (0,5.5) respectively.
For a more detailed graph you can use a graphing software or calculator.
A hybrid car can travel 40 miles per gallon. Approximately how many gallons of fuel will the car need to travel 20 km? (5 points) [1 mile = 1.6 km]
Answer:
To travel 20 Km, the hybrid car needs 0.3125 gallons of fuel.
Step-by-step explanation:
Proportions
The hybrid car can travel 40 miles per gallon.
Since one mile is equivalent to 1.6 Km, the distance traveled per gallon is 40*1.6 = 64 Km.
Now the distance is expressed in Km, we can find the gallons needed to travel 20 Km, by calculating 20/64 = 0.3125.
To travel 20 Km, the hybrid car needs 0.3125 gallons of fuel.
Find the value of c that makes DEF ~ XYZ
The value of x that makes triangles DEF ~ XYZ is -2. 25
How to determine the valueIt is important to note that perpendicular lines are equal to each other
From the triangles given, let us equate their perimeter one to another, we get;
8 + 10 + 3(x -1 ) = 7. 5 + 4 + x-1
expand the bracket
18 + 3x - 3 = 11. 5 + x - 1
collect like terms
3x - x = 10. 5 - 15
Add or subtract the collected like terms, we get;
2x = 4. 5
Now, make 'x' the subject from the equation
x = 4.5/2
Divide the values
x = -2. 25
Hence, the value is -2. 25
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Let the vector
�
v have an initial point at
(
7
,
−
6
)
(7,−6) and a terminal point at
(
6
,
−
3
)
(6,−3). Determine the components of vector
�. V
The components of the vector with initial point (7,−6) and a terminal point at (6,−3) are:
(6, -6) to (3, -6)(7, -6) to (6, -6)How to find the components of the vectorThe components of a vector are the vectors that makes up the resultant as described in the problem to have starting point (7,−6) and terminal point (6,−3).
This can be gotten by plotting these points and getting the coordinates of the points that makes the initial point and the terminal point the hypotenuse of the triangle
From the graph, the coordinates are:
component 1: (6, -6) to (3, -6)
component 2: (7, -6) to (6, -6)
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Which best describes a triangle with the angles measure at 58°, 47°, and 75°?
unique triangle
more than one triangle
obtuse triangle
nonexisting triangle
9514 1404 393
Answer:
more than one triangle
Step-by-step explanation:
Any number of triangles can have those angle measures.
more than one triangle
Answer:
the answer is more than one triangle
The membership at Gym A costs $20 to join for 1 month plus $3 per visit. The membership at Gym B costs a flat rate of $40 for 1 month.
If you join Gym A, it will cost $20 to join for 1 month plus $3 per visit. If you visit the gym x times, your total cost will be 20 + 3x dollars.
If you join Gym B, it will cost a flat rate of $40 for 1 month.
To determine which membership is more cost-effective, you would need to compare the costs for different number of visits. For example, if you plan to visit Gym A 10 times in a month, your total cost would be 20 + 3(10) = $50. If you plan to visit Gym B only 2 times in a month, membership B is more cost-effective. If you plan to visit more than 13 times, membership A is more cost-effective.
It would be helpful to make a table with different number of visits to compare the cost of both gym memberships.
The function P(t)=25,000(1.1023)t2 can be used to model the population in the town of Madison t years from now. Interpret the function in terms of the context for this situation.
Answer:
A growth function has the following form.
where = Original amount,
r = annual rate of change,
n = number of periods,
t = time in years
Since the time is in years, we need to convert t into days. We know that 1 year = 365 days. So t years = 365t days.
So in this case, n = 365, r = 0.0095.
Then the function is rewritten as follows.
The daily growth rate would be
Step-by-step explanation:
Lets find year wise population for example
let years be 3t=3\(\\ \sf{:}\longrightarrow P(3)=25,000(1.1023)3^2\)
\(\\ \sf{:}\longrightarrow P(3)=27557.5(9)\)
\(\\ \sf{:}\longrightarrow P(3)=248017.5\)
Unit 3 Closing Activity
Your task is to package 36 cans of tennis balls for shipping. Each tennis ball can contain 3 tennis balls.
You must box them in two rows of 18 cans.
When you go to the box store to purchase a box, you notice that the boxes come in a variety of sizes. All dimensions are in multiples of 6” (ie. 6”, 12”, 18”, etc.). Assume the diameter of one tennis ball is 3 inches. Use 3.14 as the value of .
When talking to the shipping clerk, you find out that there is an extra charge for any extra space in the shipping box that is not taken up by the cans because they have to fill that space in with a filler. Since you are on a tight budget, you want to spend the least amount of money as possible to ship this box.
Your task:
Choose the size box that fits the cans for your shipment.
L= W= H=
2) Determine how much extra space there is in your box after you have put the cans in
Answer:
1) L = 54", W = 6", H = 9"
2) Extra Space = 1389.96 in³
Step-by-step explanation:
1)
LENGTH:
Since, there will be 18 balls along the length of box. Therefore,
Length = L = (18 balls)(Diameter of 1 ball) = (18)(3'')
L = 54"
WIDTH:
Since, there will be 2 rows of cans, and hence, 2 balls along the width of box. Therefore,
Width = W = (2 balls)(Diameter of 1 ball) = (2)(3'')
W = 6"
HEIGHT:
Since, each can can hold 3 balls along the height of box. Therefore,
Height = H = (3 balls)(Diameter of 1 ball) = (3)(3'')
H = 9"
2)
First we calculate the total volume of box:
Total Volume = L*W*H = (54")(6")(9") = 2916 in³
Now, we calculate volume of one ball:
Volume of 1 Ball = (4/3)π(d/2)³ = (4/3)π(3"/2)³ = 14.13 in³
Now, we calculate the total number of balls in box:
No. of Balls = (Balls along length)(Balls along width)(Balls along height)
No. of Balls = (18)(2)(3) = 108 balls
Now, we calculate the total volume of box occupied by balls:
Total Volume occupied by Balls = (No. of balls)(Volume of 1 Ball)
Total Volume occupied by Balls = (108)(14.13 in³)
Total Volume occupied by Balls = 1526.04 in³
Hence, the extra space will be:
Extra Space = Total Volume of Box - Total Volume Occupied by Balls
Extra Space = 2916 in³ - 1526.04 in³
Extra Space = 1389.96 in³
If you had an additional 1.65 pounds to download songs, how many more songs could you have downloaded? Write and solve an equation to solve the problem. Describe the step-by-step process you used to solve the problem.
I only need the graph plzz
Answer:
6.0p+1.65p=7.65
Step-by-step explanation:
How do you find the area of a rhombus without diagonals?
The area of a rhombus can be found by multiplying the length of one of its sides by the height of a perpendicular line from the center to a side.
The height of the rhombus is the distance from the center of the rhombus to one of its sides, perpendicular to that side.
The formula for the area of a rhombus can be written as A = s*h, where A is the area, s is the length of one of the sides of the rhombus, and h is the height of the rhombus.
It's important to note that this method of finding the area of a rhombus without diagonals can only be used when the rhombus is a regular polygon, a polygon with all sides and angles congruent. When the rhombus is not a regular polygon, then you can find the area by using the diagonals.
Additionally, it's important to mention that a rhombus can be defined as a parallelogram with all sides congruent or a square with its angles not 90 degrees.
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a forester shows the accompanying histogram of tree diameters he used in analyzing 27 trees in a large woods that was for sale. was he justified in using a normal model to analyze the​ woods? explain, citing some specific concerns.
O A. Yes, because the histogram is unimodal and symmetric.
O B. No, because while the histogram is unimodal, it is not symmetric ° C. No, because the histogram is not unimodal or symmetric. O D. No, because while the histogram is symmetric, it is not unimodal.
The answer is B. No, because while the histogram is unimodal, it is not symmetric.
While the histogram is unimodal, it is not symmetric. It is skewed to the right, which means that the data is not evenly distributed. This can have an effect on the analysis of the data using a normal model. The normal model assumes that the data is symmetric and evenly distributed, which is not the case in this situation.
In addition, the sample size of 27 trees may not be large enough to support the use of a normal model. Generally, a sample size of at least 30 is recommended for using a normal model.
Therefore, the forester may not be justified in using a normal model to analyze these woods. A non-parametric approach, such as the Wilcoxon rank-sum test or the Kruskal-Wallis test, may be more appropriate for analyzing this data.
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Which fraction is equivalent to 1/8
2/24
3/32
4/48
5/40
Answer: 5/40
Step-by-step explanation: If you do 1/8 times 5 it is 5/40
The surface area of a three-dimensional object is:
A. The total length of its edges incorrect answer
B. The area of one of its faces incorrect answer
C. The total area of its outer surface incorrect answer
D. The amount of space inside
Answer:
c
Step-by-step explanation:
The total surface area of a 3-dimensional object is the sum of the areas of the faces or surfaces of a 3 dimensional object
for example, the total surface area of a cube is the sum of the area of all the six faces
the total surface area of a cube = 6a²
where a = edge
if a = 6
total surface area
6(6²) = 216
sigma factors are necessary in which phase of transcription?
Sigma factors are necessary in the initiation phase of transcription. This phase requires a complex called RNA polymerase to locate the DNA's start site and begin the synthesis of a new RNA strand.
RNA polymerase recognizes promoters, which are DNA sequences adjacent to the transcription start sites that define the start site for RNA synthesis. Sigma factors are subunits of RNA polymerase that help it recognize promoters.Sigma factors regulate the initiation of RNA synthesis by RNA polymerase.
The sigma factor is a DNA-binding protein that recognizes specific promoter sequences and recruits RNA polymerase to the DNA molecule at the appropriate location. When the sigma factor binds to a promoter, RNA polymerase becomes anchored and initiates transcription. There are several sigma factors, each of which recognizes a different promoter sequence.
They are required for transcription of different sets of genes in response to environmental cues or other cellular stimuli.It is worth noting that the promoter sequence that sigma factors bind to can vary in terms of its similarity to the consensus sequence recognized by the sigma factor.
Sigma factors can also recognize alternative promoter sequences that bind to the RNA polymerase core enzyme with lower affinity than the consensus sequence. In general, a promoter with a perfect match to the consensus sequence is more effective than one with a non-perfect match in initiating transcription.
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determine weather the line is parallel perpendicular or neither
x = 6 and 6 — x = 8
Answer:
neither
Step-by-step explanation:
got it right 2020
Which lists the fractions from least to greatest?
A.-1/3,-2/3,1/3
B.1/3,-1/3,-2/3
C.1/3,-2/3,1/3
D.-2/3,1/3,-1/3
E.-2/3,-1/3,1/3
Answer:
E
Step-by-step explanation:
find the distance between the points (-3,10) and (9,-6)
Answer:
20
Step-by-step explanation:
The distance formula is:
\(d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }\)
where (x₁, y₁) and (x₂, y₂) are the points. We are given the points (-3,10) and (9,-6). Therefore,
\(x_{1}=-3 \\y_{1}= 10\\x_{2}=9 \\y_{2}=-6\)
Substitute the values into the formula.
\(d = \sqrt {\left( {-3 - 9} \right)^2 + \left( {10- -6} \right)^2 }\)
\(d = \sqrt {\left( {-3 - 9} \right)^2 + \left( {10+6} \right)^2 }\)
Solve inside the parentheses. Subtract 9 from 3. Add 10 and 6.
\(d = \sqrt {\left( {-12} \right)^2 + \left( {16} \right)^2 }\)
Evaluate the exponents.
⇒ -12²= -12*-12= 144
\(d = \sqrt {\left144 + \left( {16} \right)^2 }\)
⇒ 16²= 16*16=256
\(d = \sqrt {\left144 + \left256}\)
Add 144 and 256.
\(d=\sqrt{400}\)
Take the square root of 400.
\(d=20\)
The distance between the two points is 20.
write the following expression without negative exponents and without parentheses (-9x)^-2
The value of the expression is 1/(9x)^2
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
(-9x)^-2
We can write the expression without negative exponents by using a fraction with a positive exponent:
(-9x)^-2 = 1/(-9x)^2
And without parentheses, this expression becomes:
1/(9x)^2
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i need help with #6
Answer: The whole equation is simplified down to -20.
Step-by-step explanation:
Here's how I got my answer:
Equation is 4p^2 + 7q^3
All you need to do is plug in the values they have given you. If you apply them, you get:
4 (-3)^2 + 7 (-2)^3
Which simplifies to:
4 (9) + 7 ( -8)
Simplify furthermore:
36 + (-56)
Which gives you:
-20
according to the number line, what is the distance between points a and b?6 units7 units12 units14 units
The distance between Points A and B is 12 units. If we were to draw a number line with Point A at -5 and Point B at 7, we could count the number of units between them.
In order to determine the distance between points A and B on a number line, we need to know the values of each point and then calculate the absolute value of the difference between them.
Point A has a value of -5 and Point B has a value of 7. The absolute value of the difference between -5 and 7 is 12.
Therefore, the distance between Points A and B is 12 units. If we were to draw a number line with Point A at -5 and Point B at 7, we could count the number of units between them.
However, it is more efficient to simply subtract the values of the two points and take the absolute value of the result.
This gives us the distance between the two points, regardless of which one is greater or smaller. In this case, the distance between Points A and B on the number line is 12 units.
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Which of the following set of ordered pair is a function? A {(9,0), (9, 1), (9,2), (9,3)} B [(-1,0), (-2, 0), (2,0), (1,0)} C {(-2,0), (3, 1), (3,2), (1,3)} D {(9,5), (9,5), (9,5), (9,5)}
The set of ordered pairs {(-2,0), (3, 1), (3,2), (1,3)} that is a function. The correct answer would be an option (C).
What is a function?A function is a set of ordered pairs such that for every unique input, there is only one unique output.
A set A {(9,0), (9, 1), (9,2), (9,3)} contains multiple outputs for the same input, so it's not a function.
B set B [(-1,0), (-2, 0), (2,0), (1,0)] contains multiple outputs for the same input, so it's not a function.
C set C {(-2,0), (3, 1), (3,2), (1,3)} contains only one output for every unique input, so it's a function.
D set D {(9,5), (9,5), (9,5), (9,5)} all the ordered pair has the same inputs and outputs, it's not a function.
Therefore, the set of ordered pairs that is a function is C set C {(-2,0), (3, 1), (3,2), (1,3)}.
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a container holds 4/5 liter of water. during the hike, jada drank 2/3 of the water. how much water did jada drink?
Using mathematical operations we can conclude that Jada drinks 8/15 liters of water.
What are mathematical operations?A mathematical "operation" is the process of calculating a value utilizing operands and a math operator. There are predefined rules associated with the math operator's symbol that must be applied to the supplied operands or numbers. A mathematical action is called an operation. Mathematical operations include addition, subtraction, multiplication, division, and finding the root.So, liters of water Jada drinks:
We know that,
The container holds 4/5 liters of water.
Jada drinks 2/3 liters of water.
Now, liters of water Jada drinks is:
4/5 × 2/3
4×2/5×3
8/15
Therefore, using mathematical operations we can conclude that Jada drinks 8/15 liters of water.
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The correlation coefficient is always a number between ____ and ___.
A correlation coefficient is consistently a number between 1 and - 1 .
The correlation coefficient is a factual measure that demonstrates the strength and heading of the straight connection between two factors. It goes from - 1 to 1, where - 1 addresses a completely bad correlation (i.e., as one variable expands, different declines), 0 addresses no correlation, and 1 addresses an entirely sure correlation (i.e., as one variable builds, the other likewise increments).
The indication of the correlation coefficient demonstrates the heading of the relationship, while the extent of the coefficient shows the strength of the relationship. A correlation coefficient of 0 shows no straight connection between the factors, while values nearer to - 1 or 1 demonstrate a more grounded direct relationship.
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Expand and simplify (x – 2)(2x + 3)(x + 1)
Answer:
Step-by-step explanation:
(x-2)(2x+3)(x+1)
=x(2x+3)-2(2x+3)(x+1)
=(2x^2+3x-4x-6)(x-1)
=(2x^2-x-6)(x-1)
=2x^2(x-1)-x(x-1)-6(x-1)
=2x^3-2x^2-x^2+x-6x+6
=2x^3-3x^2-5x+6
( x - 2 )( x + 1 )( 2x + 3 ) =
( x^2 - x - 2 )( 2x + 3 ) =
2x^3 - 2x^2 - 4x + 3x^2 - 3x - 6 =
2x^3 + ( -2 + 3 )x^2 + ( - 4 - 3 )x - 6 =
2x^3 + x^2 - 7x - 6
(24 pts) 6.) Let U={1,2,3,4,5,6,7,8} and A={1,2,7,8}.B={1,3,5,7} and C={1,2,4}. a.) Draw a Venn Diagram to represent the universe. b.) Set D is added to the universe above so that D⊂B. How many set Ds exist? Use the listing method to write one possible set D. For parts c−f, list the elements in each set based on your Venn diagram above: c.) A∩C d.) B′ e.) C∪B′ f.) (C∪B′)∩A g.) What is n(C∪B′) ? h.) If sets E and F are subsets of U such that E={1,8} and F={6,7,8}, find F×E.
c.) A ∩ C = {1, 2}
d.) B' (complement of B) = {2, 4, 6, 8}
e.) C ∪ B' = {1, 2, 4, 6, 8}
f.) (C ∪ B') ∩ A = {1, 2, 8}
g.) n(C ∪ B') (cardinality of C ∪ B') = 5
a.) Venn Diagram:
css
Copy code
U
_______
| |
A | B |
|_______|
_______
| |
C | |
|_______|
b.) Set D is added to the universe above so that D ⊂ B.
There are 15 possible subsets of set B:
D = {}, {1}, {3}, {5}, {7}, {1, 3}, {1, 5}, {1, 7}, {3, 5}, {3, 7}, {5, 7}, {1, 3, 5}, {1, 3, 7}, {1, 5, 7}, {3, 5, 7}
c.) A ∩ C = {1, 2}
d.) B' (complement of B) = {2, 4, 6, 8}
e.) C ∪ B' = {1, 2, 4, 6, 8}
f.) (C ∪ B') ∩ A = {1, 2, 8}
g.) n(C ∪ B') (cardinality of C ∪ B') = 5
h.) F × E = {(6, 1), (6, 8), (7, 1), (7, 8), (8, 1), (8, 8)}
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