Sin and cosine of the acute angle are complementary trigonometric functions. This means that between these trigonometric functions, the rule of complementary acute angles applies: sin64° = cos(90°-64°) = cos26°
So, if we have given cos64° = cosx and we want to determine the value of the acute angle x, given the complementarity of the angles to 90 degrees, the required value of the angle x is 26°.
The answer is: x = 26°
Given a random sample of size 24 from a normal distribution, find k such that (a) p(−2.069
The graph of the normal distribution of the random sample size of 24 will have the shape of a bell curve.
The value of k such that P(-2.069 < T < k) = 0.965 is 2.5
How to determine the value of k?The sample size is given as:
n = 24
This means that the degrees of freedom is:
df = n - 1
df = 24 - 1
df = 23
The probability is given as:
P(-2.069 < T < k) = 0.965
This can be rewritten as:
P(T>-2.069) - P(T>k) = 0.965
The value of P(T>-2.069) at a degrees of freedom of 23 and [tex]\alpha[/tex] = 0.025 is 0.975
So, we have:
0.975 - P(T>k) = 0.965
Collect like terms
P(T>k) = 0.975 - 0.965
Evaluate the difference
P(T>k) = 0.01
The value of k that makes P(T>k) = 0.01 is 2.5.
So, we have:
k = 2.5
Hence, the value of k is 2.5
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the greatest demon lord is reborn as a typical nobody anime episode 1
Answer:
ok
Explanation:
How was japan’s response to the great depression different from the response of european nations?
Unlike other European nations, Japan utilised monetary policies, exchange rate and expansionary fiscal to recover.
Japan's Response to the great depressionJapan achieved an early recovery from the Great Depression of the 1930s. Much of the success was attributed to veteran finance minister, Takahashi Korekiyo, who managed to effect the recovery by prescribing a combination of expansionary fiscal, exchange rate, and monetary policies.
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12.1 arithmetic sequences evaluate homework and practice answers
The table is an illustration of arithmetic sequence
The equation of the arithmetic sequence is B(s) = 7.5s
How to complete the table of the arithmetic sequenceFrom the table (see attachment), we have the following formula
B(s) = 7.5s
For s =0 to 4, we have:
B(0) = 7.5(0) = 0
B(1) = 7.5(1) = 7.5
B(2) = 7.5(2) = 15
B(3) = 7.5(3) = 22.5
B(4) = 7.5(4) = 30
So, the complete table is:
s B(s)
0 0
1 7.5
2 15
3 22.5
4 30
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Which process is most likely driven by light energy?
Answer:
answer is
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15.1 central angles and inscribed angles homework answers
The central and inscribed angle theorem is used to solve angles and arc measure in a circle.
What is the Central and Inscribed Angles Theorem?The theorem shows the relationship of the measures of an inscribed angle, central angle, and their intercepted arc.
It states that:
central angle measure = measure of inscribed angle.inscribed angle measure = 1/2(measure of inscribed angle)Therefore, the central and inscribed angle theorem is used to solve angles and arc measure in a circle.
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The decomposition of n2o5 can be described by the equation 2n2o5(soln)⟶4no2(soln)+o2(g) consider the data in the table for the reaction at 45 ∘c in carbon tetrachloride solution.
The reaction rate between 0 -195 seconds for the decomposition of N2O5 is 0.0006 M/s.
What is the rate of a reaction?The rate of reaction can be estimated in terms of the consumption of the reactants in the reaction.
From the given information, the equation N2O5 has been the reactant that has been used in 2 moles.
The rate of the reaction is expressed as:
[tex]\mathbf{Reaction \ rate = -\dfrac{1}{2} \times \dfrac{dN_2O_5}{dt}}[/tex]
The reaction rate for a time interval between (0 - 195) sec is expressed as follows:
[tex]\mathbf{Reaction rate = -\dfrac{1}{2} \times \dfrac{1.86556-2.10195}{195s - 0s}}[/tex]
[tex]\mathbf{Reaction \ rate = -\dfrac{1}{2} \times \dfrac{-0.23639}{195s}}[/tex]
= 0.0006 M/s.
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A constant net force of 20 n is applied to a 32 kg car, causing it to speed up from 4. 0 to 9. 0 m/s. how long is the force applied?
[tex]\green{ \underline { \boxed{ \sf{Force,F= Mass \times Acceleration }}}}[/tex]
So,
[tex] \sf Acceleration,a = \frac{Force}{Mass}[/tex]
[tex] \sf \implies \frac{20}{32} [/tex]
[tex]\implies \frac{5}{8} m/s^2[/tex]
Now,
By first equation of motion -
[tex]\green{ \underline { \boxed{ \sf{v-u=at}}}}[/tex]
So,
[tex]\sf t = \dfrac{v-u}{a} [/tex]
where
v = final velocityu = initial velocitya = accelerationt = time durationPutting Values -
[tex]\sf t = \dfrac{9-4}{ \dfrac{5}{8}} [/tex]
[tex]\sf t = \dfrac{5}{ \dfrac{5}{8}} [/tex]
[tex]\sf t = \cancel5 \times \dfrac{8}{\cancel{5}} [/tex]
[tex]\sf t = 8 \:seconds[/tex]
>>>Therefore, Force is applied for 8 seconds.
How many ways can you listen to 3 songs from a cd that has 12 selections?
Taking into account the definition of permutation, there are 1320 ways you can listen to 3 songs from a cd that has 12 selections.
What is permutationPermutations refer to the action of arranging all the members of a set in some kind of order or sequence. This means that if a set is already ordered, the process of rearranging its elements is called permutation.
In other words, permutations of m elements in n positions are the different ways in which the m elements can be arranged occupying only the n positions.
In this case, the elements are not repeated, since if they are repeated or equal to each other, exchanging them does not generate a new permutation. And the order does matter, since the exchange between two different elements generates a new permutation
To obtain the total of ways in which m elements can be placed in n positions, the expression is used:
[tex]P=\frac{m!}{(m-n)!}[/tex]
The sign ! indicates the factorial function, which indicates that all positive integers between the number that appears in the formula and the number 1 must be multiplied.
Number of ways you can listen to 3 songsThe order in which songs are listening is important as there is no plan to listen to the same song twice. So, the permutation can be applied.
Being:
m=12n=3and replacing in the expression for permutation, you get:
[tex]P=\frac{12!}{(12-3)!}[/tex]
[tex]P=\frac{12!}{9!}[/tex]
[tex]P=\frac{479001600}{362880}[/tex]
P= 1320
Finally, there are 1320 ways you can listen to 3 songs from a cd that has 12 selections.
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Houghton mifflin harcourt geometry volume 2 answer key
Houghton Mifflin Harcourt geometry volume 2 is one that covers the topics on the use of Similar Triangles, transformation and others. It is a textbook that helps students to sharpen their knowledge on geometry.
What is Hmh Geometry?This is known to be the 21st Edition geometry textbook that was written by Houghton Mifflin Harcourt . Some of the topics covered in this geometry textbook are:
Transformations and SymmetryLines and AnglesAngles and Segments in Circles.Congruent Figures, etc.Learn more about geometry from
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Scan the highlighted line by clicking on either an accent mark ( ) or breve ( ) and putting it in its correct position. symbols will be used more than once. use a dictionary for help.
The right position for the highlighted line are:
For U symbol over: the, has, r'd (in weathr'd) ry (in every) the, we, isFor ' symbol over: ship, weat (in weather'd) ev (in every) rack, prize, sought, wonWhich is an accent mark?Accent marks are known to be a kind of symbols that are often employed over letters, such as vowels.
These marks are known to help a person to show or emphasize the right or correct pronunciation of a word. They are the marks that are often found in languages such as French, German, etc.
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graphically producer surplus is the area above the curve and below the equilibrium price from to the quantity traded.
Graphically, consumer surplus is the area below the demand curve and above the equilibrium price, from zero to the quantity traded.
What is producer surplus?This is known to be the difference that is said to exist between the price producers often gets from the sales of good or a service and the lowest price they are said to be willing and able to take.
Note that in graphical depiction of consumer surplus, it is found to be the area that is below the demand curve and above the equilibrium price, that is from zero to the quantity traded.
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An anthropologist has determined that a newly discovered human bone is 8000 years old. how much of the original amount of carbon-14 is in the bone?
Given that the age of the discovered bone is 8000 years, The original amount of carbon 14 that is in this bone is 38.29%
What is carbon 14?This is a method of radiocarbon that isused in the age determination of substances. That is after the dacay of nitrogen.
The formula that is used to determine the original amount of carbon 14 in the bone is given as:
[tex]y = ae^-^0^.^0^0^0^1^2^t[/tex]
The value of t is given as 8000.
What is to be done is to solve the equation using the value of t
[tex]y = ae^-^0^.^0^0^0^1^2^(^8^0^0^0^)[/tex]
= ae⁻⁰.⁹⁶
Solve for exp(-0.96)
y = 0.3829a
= 38.29%
Therefore the amount of carbon 14 that is in the bone is 38.29%
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How has the earth's climate changed over the last 150 years
Answer:
The University of California Riverside and NASA estimate human activity has increased the amount of carbon dioxide in the atmosphere by about 30 percent in the past 150 years. The amount of methane, a potent greenhouse gas produced by decomposing plant and animal matter, is also increasing
Explanation:
Choose the best translation: necklace bolso manga collar botón
Answer: collar
Explanation: trust me
Answer: collar
Explanation: did on edg
17.3 subtracting polynomial expressions answer key
An example of 17.3 subtracting polynomial expressions question is solve for 2q² - q - 8) - (2 q² + q - 4).
What is polynomial expressions?A polynomial is known to be a type of an expression that is made up of variables, constants and exponents. They are often combined using the mathematical terms such as addition, subtraction, etc.
2 q² - q - 8) - (2 q² + q - 4)
= (2 q² - q - 8) + (-2 q² - q + 4)
Then you have to rewrite subtraction as addition and then Group like terms together;
= (2 q² - 2 q²) + (-q - q) + (-8 + 4)
= -2q - 4
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how "reusing, reducing, or recycling" could decrease the amount of fossil fuels used
Answer:
it lowers global warming/litter
Explanation:
if those fossil fules get in the air it bad gib brainiest
"Reusing, reducing, or recycling" could decrease the amount of fossil fuels used as it lowers global warming/litter.
Why are 3R's used?Reduce is referred to the lowering use of the substance, resources, or any other items. Reuse refers to the repeated benefit or a resource, item, or any substance.Recycling is the process of collecting and processing the materials again to avoid it throwing them in the trash.
The 3R's are the reduce, reuse, and recycle the waste or products. Reduce is referred to diminish the use of certain products or resources, reuse is to repeated use of items, and recycle is to mold and develop into a new item.
Throwing antifreeze can become ilegal because it gets heavy metals such as lead, cadmium and chromium that make it hazardous waste, which should not be thrown in public areas.
Therefore, "Reusing, reducing, or recycling" could decrease the amount of fossil fuels used as it lowers global warming/litter.
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#SPJ2
You work every saturday from 9:00 a.m. to 5:00 p.m. find the measure of the angle generated by the hour hand of a clock during this time in both degrees and radians. compare this angle with the angle generated by the minute hand from 9:00 a.m. to 5:00 p.m.
The angle generated by the hour hand measures -270° or -4.71 radians, and we will see that the angle generated by the minute hand is 12 times the one generated by the hour hand.
How to get the angle generated?Remember that in a complete rotation we have an angle of 360°, and in a complete rotation we have 12 hours, then there is a relation:
12 hours = 360°
1 hour = 360°/12 = 30°
From 9:00 a.m to 5:00 p.m. there are 9 hours, so the angle that the hour hand does is:
A = 9*(30°) = -270°
(the negative sign is because this angle is measured clockwise)
Now we can write this in radians, remember that:
3.14 radians = 180°
Then:
1 = (3.14 rad/180°)
Then:
270° = -270°*(3.14 rad/180°) = -4.71 rad
What is the angle generated by the minute hand?Each hour that passes, the minute hand does a complete revolution. Then in 9 hours, the minute hand does an angle of:
A = 9*(-360°) = -3,240°
To compare this angle to the one generated by the minute hand we take the quotient:
-3,240°/-270° = 12
So this angle generated by the minute hand is 12 times the one generated by the hour hand.
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A) how can cells from a single plant have different characteristics?
Sofie claims to be a tasting expert. To test her abilities, someone bakes Sofie a cake using 3 of the following
ingredients:
Coffee Vanilla
Nutmeg Cinnamon
Sea salt
Ginger
Sofie's challenge is to identify which set of 3 ingredients was used in the cake. Suppose that Sofie is just
randomly guessing.
What is the probability that Sofie correctly identifies the set of 3 ingredients in the cake?
Answer:
1/20
Explanation:
excel ran out of resources while attempting to calculate
Re: Excel ran out of resources while attempting to calculate one or more formulas
Your used range includes a lot of empty cells. If you hit Ctrl+End it will take you to the last cell in the used range and you can see ...
You have a lot of empty formatted cells (colored), but should be corrected when you reset the used range.
You have this formula on the Project Cost Tracking worksheet, cell CE1:
Every real zero of a polynomial function appears as a/an
to 0 are called the zeros of f. These values of x are the roots, or solutions, of the polynomial equation f(x) = 0. Each real root of the polynomial equation appears as an x-intercept of the graph of the polynomial function.
Based on the model of cellular transport, the conversion of atp to adp provides a mechanism for
Based on the model of cellular transport, the transport of a substance against its electrochemical gradient is accomplished with energy input from ATP.
What is active transport?It is a cellular mechanism by which some molecules cross the plasma membrane against a concentration gradient with the consequent expenditure of energy.
The carrier proteins that intervene in the transport of molecules require an energy supply, in the form of ATP, it is carried out at the expense of respiration and photosynthesis processes; by hydrolysis of ATP by membrane ATP hydrolases.
Therefore, we can conclude that based on the model of cellular transport, the transport of a substance against its electrochemical gradient is accomplished with energy input from ATP.
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6-2 skills practice inverse functions and relations
There are a lot of inverse functions and relations. An example of this 6-2 skills math is find the inverse of the following relations {(3, 1), (4, -3), (8, -3)}.
What is inverse functions?The term inverse function connote a type of function (f) that is also a function that often undoes a form of operation of (f).
The inverse of the relations. {(3, 1), (4, -3), (8, -3)} is therefore
{(1, 3), (-3, 4), (-3, 8)} .
It is {(1, 3), (-3, 4), (-3, 8)} because one just have to change the arrangement.
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Society is a joint-stock company, in which the members agree, for the better securing of his bread to each shareholder, to surrender the liberty and culture of the eater. The virtue in most request is conformity. Self-reliance is its aversion. Based on the excerpt, what is emerson’s view of the relationship between society and individuals? society helps people feel more free. Society protects people’s rights. Society pushes people to be more unique. Society encourages people to be alike
Emerson’s view of the relationship between society and individuals is; D; Society encourages people to be alike.
What is the relationship between views?From the question, we see the society being referred to as a "joint-stock company" where the members agree on what they want and what they do not want.
Subsequently, we see how the society must work hand in hand to make sure that they give everyone what belongs to them so that everyone is self reliant.
Finally, we can say that the relationship between society and individuals is one where society encourages people to be alike which is depicted where the passage calls for conformity.
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Answer:
your answer is d
Explanation:
A wave of infrared light has a speed of 6 m/s and a wavelength of 12 m. What is the frequency of this wave? 0. 5 hz 2. 0 hz 18 hz 72 hz
Answer:
0.5hz
Explanation:
The amount of food, space, and predators are examples of _____________________ that limit the number of individuals that the environment can support.
The amount of food, space, and predators are examples of limiting factors that limit the number of individuals that the environment can support.
What are Limiting factors?
This is defined as anything that constrains a population's size and slows or stops it from growing.
The limiting factors in the environment include the following:
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1.0 l of a buffer is prepared. it contains 0.125 m ha (pka = 4.74) and 0.115 m a−. what is the ph of this buffer after 0.0100 mol of strong acid is added?
Answer:
pH=4.63
Explanation:
pH = pKa + log(base/acid)
The process of writing a polynomial as a product is called
Answer:
Factoring
Explanation:
The opposite can be called distributing
A scientist views different objects using a light microscope. which features would the scientist most likely see for samples from multicellular organisms?
Through the use of a light microscope it is possible to observe in multicellular organisms different types of cells and organelle features, and in general, they are all very small.
What are multicellular organisms?They are all those forms of life whose bodies are composed of a diversity of cells organized, hierarchical, at the cellular level through organelles that are specialized cell differentiations.
The cells that make up these organisms have different shapes and sizes and, in general, they are all very small, so to see them it's needed a light microscope, an instrument that increases many times the size of samples.
Therefore, we can conclude that through the use of a light microscope it is possible to observe in multicellular organisms different types of cells and organelle features, and in general, they are all very small.
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