Answer:
C.
Step-by-step explanation:
for what value of x is cos(x) = sin(14*), where 0*
The value of x for which cos(x) = sin(14x) is x = π/30. The solution x = π/30 represents one of the possible solutions within the given range of 0 ≤ x ≤ 2π.
To find the value of x for which cos(x) = sin(14x), we can use the trigonometric identity sin(θ) = cos(π/2 - θ).
Applying this identity to the given equation, we have:
cos(x) = cos(π/2 - 14x)
Since the cosine function is equal to the cosine of the complement of an angle, the two angles must be either equal or their difference must be a multiple of 2π.
Thus, we can set the two angles inside the cosine function equal to each other:
x = π/2 - 14x
To solve for x, we can simplify the equation:
15x = π/2
Dividing both sides by 15, we get:
x = (π/2) / 15
To express the answer in radians, we can simplify further:
x = π/30
Therefore, the value of x for which cos(x) = sin(14x) is x = π/30.
It's worth noting that the equation cos(x) = sin(14x) has infinitely many solutions, as the sine and cosine functions are periodic. The solution x = π/30 represents one of the possible solutions within the given range of 0 ≤ x ≤ 2π.
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Students are going to conduct an experiment to study the effect of a net force applied to an object on the object’s motion. In each trial of the experiment, the students will apply a net force on the object. They also need to take two other measurements. What are the other quantities they should measure in each trial of the experiment?.
For conducting experiment based on effect of a net force , to apply net force on the object two other quantities should be measured in each trial of the experiment is given by velocity and time.
As given in the question,
To conduct a experiment based on the effect of net force applied to an object the dependable quantities are as follow:
Force = mass × acceleration
As object remain same ⇒ mass is constant as object remain same.
And there is change in the acceleration.
Acceleration depends change in velocity over total time taken.
Acceleration depends on velocity and time.
Net force also depends on velocity and time.
Two measurements need to know while conducting trail experiments are velocity and time.
Therefore, to conduct experiment based on effect of a net force , to apply net force on the object two other quantities should be measured in each trial of the experiment is given by velocity and time.
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Which of the following is most likely the next step in the series?
000
O A.
B.
O c.
D.
A company has designed a new cereal box. This new box has a height of 25 cm, a width
of 2.5 cm, and a length of 12.5 cm. Cardboard used to create these boxes is purchased
from a wholesale supplier at a rate of 0.00016 cents per square centimeter. What is the
cost to produce each box?
Answer:
$0.13 to produce each box.
Step-by-step explanation:
S= ph+2b
p= 12.5+2.5+12.5+2.5=30
h=25
b= 12.5x2.5=31.25
S= (30)(25) +2 (31.25)
S= \(812.5cm^{2}\)
812.5 x 0.00016= 0.13
A garden is the shape of a triangle. It has a perimeter of 27 meters. Each side of the garden is the same length.
What is the length of each side of the garden?
3 meters
6 meters
9 meters
27 meters
Answer: 9 meters
Step-by-step explanation:
Let's list what we know
The garden is in the shape of a triangle
The perimeter of the garden is 27 meters
Each side is the same length
The perimeter of something is the sum of all the side lengths added together. We know that the garden is a triangle and triangles have 3 sides
Since all the sides are the same length we can divide 27 by 3 to find the length of each side
27/3=9
Please help this is due soon
Step-by-step explanation:
2.50 dollars i think
the sum of a set of numbers is 48 and the average is 6. how many numbers are in this group.
Answer:
it's simple that is 48/6 = 8 and 6×8=48 do you get it now
consider the binomial expression (x+y)^10. use the binomial theorem to complete each statement.
Answer:
I think the answer is 3rd, 6th, and then 10th for each statement.
Step-by-step explanation:
I'm doing this activity right now on PLATO but I haven't turned it in yet. However, I know that this is the expanded form:
( x + y ) ^10 = 1 × x ^10 × y ^0 + 10 × x ^9 × y ^1 + 45 × x ^8 × y ^2 + 120 × x ^7 × y ^3 + 210 × x ^6 × y ^4 + 252 × x ^5 × y ^5 + 210 × x ^4 × y ^6 + 120 × x ^3 × y ^7 + 45 × x ^2 × y ^8 + 10 × x × y ^9 + 1 × x × y ^10
All you have to do is count each term.
For example, I know that the third term is 45x^8y^2 because I counted the first two and saw it was the third.
Hope his helped because I couldn't find the answer for this anywhere else!
describe a dataset where defining a confidence interval would be important for testing validity of data
The sample's data values ought to be unrelated to one another. The sample data need to be consistent. Data from the quantitative ordered pair sample should be gathered at random or in a way that is representative of the overall population. The sample's data values ought to be unrelated to one another.
A confidence interval is a much better tool to use if we wish to communicate the level of uncertainty surrounding our point estimate (CI). A confidence interval (CI) is a symmetrical range of values where the results of repeated, related experiments are likely to fall. The middle of this range corresponds to our point estimate.
Confidence intervals, which describe how closely study results match reality or how dependable they are based on statistical theory, are regularly mentioned in scientific publications.
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PLS THIS IS MY LAST QUESTION
this is my last question pls help me out i’ll give brainest it’s due in an hour
Answer: x = 5.625
Step-by-step explanation: The triangles are similar; the side lengths of the large triangle are proportional to the lengths of the small triangle. The corresponding parts are proportional.
Use proportion. The total length of side FV is 16.
6:16 = x:15 . or 6/16=x/15
cross multiply 15 × 6 = 90, then divide 90/16
90/16 = x
5.625 = x
Sheila travels 65 miles per hours for 8 hours. Find the distance traveled in miles.
Answer: 520 miles per hour
Step-by-step explanation:
65 times 8 = 520 miles per hour
-8r + 8r = 0. select the correct Property
Solution
-8 r + 8r =0
And the correct answer would be:
Inverse property of addition
suppose that from a standard deck, you draw three cards without replacement. what is the expected number of face cards (not including aces) that you will draw?
To solve this problem, we first need to determine the probability of drawing a face card (not including aces) on the first draw. There are 12 face cards in a standard deck, and 32 non-face, non-ace cards. So the probability of drawing a face card on the first draw is 12/44.
Next, we need to determine the probability of drawing a face card on the second draw, given that we did not draw a face card on the first draw. There are now 11 face cards left in the deck, and 43 cards total (since we removed one card on the first draw). So the probability of drawing a face card on the second draw, given that we did not draw a face card on the first draw, is 11/43.
Finally, we need to determine the probability of drawing a face card on the third draw, given that we did not draw a face card on the first or second draw. There are now 10 face cards left in the deck, and 42 cards total (since we removed two cards on the first and second draws). So the probability of drawing a face card on the third draw, given that we did not draw a face card on the first or second draw, is 10/42.
To find the expected number of face cards (not including aces) that we will draw, we need to multiply the probabilities of each draw and sum the results. So:
Expected number of face cards = (12/44) * (11/43) * (10/42) * 3
Expected number of face cards = 0.038
Therefore, the expected number of face cards (not including aces) that you will draw when drawing three cards without replacement from a standard deck is approximately 0.038.
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Seth bought a 12 ounce jar of peanut butter for $ 3.60. What is the unit price?
Answer:
30
Step-by-step explanation:
Please find the length of the missing side... I will mark you brainliest
ANSWER: 68 CM PO YAN ANS. KO
what is the factorization of the polynomial below?
3x^2+36x+81
a. (x+2)(x+37)
b. (3x+3)(x+9)
c. 3(x+3)(x+9)
d. (x+3)(3x+9)
Answer:
C. 3 ( x + 3 )( x + 9 )
Step-by-step explanation:
3x^2+36x+81
3(x^2 + 12x + 27)
3 (x + 3) ( x + 9)
HELP
subtract -4/5 - 2/3
A -22/15
B -3/4
C -2/5
D 8/15
Answer:
A
Step-by-step explanation:
-4/5×3/3=-12/15
2/3×5/5=10/15
-12/15-10/15= -22/15
Simplify the equation by combining the like terms:
5x+3m+4x
Answer: 9x + 3m
Step-by-step explanation:
5x + 3m + 4x
=> 9x + 3m
Answer:
5x + 4x = 9x so 9x + 3m would be your expression
Puzzle Three
Answer the following word problems. Use your answers to
substitute into the code below to unlock puzzle three.
Remember the order of operations to correctly break the
code!
Please help
Answer:
I'm not sure if you can put decimals, if you can do 6889.97
If not try both 6890 and 6889
Step-by-step explanation:
\(A=50\\B=5,940\\C=-49\\D=-30\\E=0.03\)
\(50(-30--49)+(5940-0.03) = 6889.97\)
Round and the code is 6890
I'm not sure if you can put decimals, if you can do 6889.97
If not try both 6890 and 6889
Answer:
6890
Step-by-step explanation:
.
Y=3x+0 standard form?
Answer:
y = 3x
Step-by-step explanation:
remove the 0
help plslsllsl its due tmr
factorise X^2 + 4xy - 4y^2- 9z^2
Answer:
Step 1: Equation at the end of step 1
(((x^{2} )-4xy)+(4(((x
2
)−4xy)+(4 ×(y^{2} )))-3^{2} -z^{2}(y
2
)))−3
2
−z
2
Step 2: Equation at the end of step 2
(((x^{2} )-4xy)+2^{2} y^{2} )-3^{2} z^{2}(((x
2
)−4xy)+2
2
y
2
)−3
2
z
2
Step 3: Final Result
x^{2} -4xy+4y^{2} -9z^{2}x
2
−4xy+4y
2
−9z
2
Let F(x) - 2* and (x)=x-2. The graph of (fºg)(x) is shown below.
What is the domain of (fºg)(x)?
• x>0
• all real numbers except x=0
• x<_0
• all real numbers
The notation (fºg)(x) is used to represent the composition of functions f(x) and g(x), where g(x) is applied first, and the output of g(x) is then used as the input of f(x).
In this case, the function g(x) is defined as g(x) = x - 2, and the function f(x) is defined as f(x) = 2 * sqrt(x).
To find the domain of (fºg)(x), we need to consider the domain of g(x) such that the output of g(x) is a valid input for f(x). The function g(x) has a domain of all real numbers because any real number can be subtracted by 2.
Next, we need to consider the domain of f(x) such that the output of f(x) is defined. The square root function is only defined for non-negative real numbers, so the domain of f(x) is x >= 0.
Therefore, the domain of (fºg)(x) is the set of all real numbers such that x - 2 >= 0, or x >= 2. In interval notation, the domain is [2, ∞).
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what is the probability that 5 card hand contains a four-of-a-kind, where the four-of-a-kind rank is a face card?
There is a slight possibility of 0.000240 that 5 card hand contains a four-of-a-kind, where the four-of-a-kind rank is a face card.
Total possible outcomes=⁵²C₅
= 2598960
P( 4-of-a-kind) = ¹³C₁ * ⁴C₄
= 13
P( choosing one card from the rest of the deck) = ⁴⁸C₁
=48
P( 4-of-a-kind card with one different card)
= desired outcome / total number of outcomes.
= (13* 48) / 2598960
= 624/2598960
= 0.000240
Therefore, we get that the probability is 0.0240% .
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What happens to the energy in the pendulum as it swings from point A to point B?
Potential energy is converted to kinetic energy.
Kinetic energy is converted to potential energy.
Kinetic energy is converted to chemical energy.
O Chemical energy is converted to thermal energy.
The energy in the pendulum as it swings from point A to point B
Potential energy is converted to kinetic energy.
Now, According to the question:
Energy is defined as the ability of an object to do work. Energy can be classified in two different types of energy, Kinetic and potential energy. This two may be the principal ones, but we can see how energy manifests in different ways in nature, like heat, chemical potential energy, solar energy, electric potential energy, and so on.
Energy is constantly changing from kinetic to potential energy, and vice-versa in a pendulum. At the lowest point of the pendulum swing, the pendulum will have reach a state of maximum kinetic energy. This due to it attaining the maximum speed the pendulum can reach due to it's movement. As the pendulum start to rise again, it will start to lose kinetic energy and will gain potential energy. This loss in kinetic energy will cause the pendulum to slow down until it reaches it's max height. At this point the pendulum will have converted all of it's kinetic energy to potential energy.
Hence, Potential energy is converted to kinetic energy.
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Which choice provides the best evidence for the
answer to the previous question?
A) Lines 1-3 ("About 750 . . . Ice Age")
B) Lines 26-28 ("Such a . . . the cooling")
C) Lines 49-54 ("The volume . . . the Holocene")
D) Lines 61-64 ("It’s not . . . climate impacts")
Correct option is D. Lines 61-64 ("It’s not . . . climate impacts")Choice D is the best answer.
The author states in lines 61–64 that geochemist Gifford Miller's research shows that the medieval volcanic explosion most likely took place in Indonesia near the equator: "According to Miller, the possibility that an Indonesian volcano is to blame for the eruption is not entirely unexpected.
The apparent climate changes are more compatible with an equatorial eruption "Because they do not offer proof that the medieval volcanic explosion most likely took place in Indonesia close to the equator, choices A, B, and C are erroneous. Choices A, B, and C emphasize the strength, significance, and size of the medieval volcano.
Previous question is -Where does the author indicate the medieval volcanic eruption most probably was located?
This question is from following passage which is adapted from Carolyn Gramling, “Source of Mysterious Medieval Eruption Identified.” 2013 by American Association for the Advancement of Science -"About 750 years ago, a powerful volcano erupted
somewhere on Earth, kicking off a centuries-long
cold snap known as the Little Ice Age. Identifying the
volcano responsible has been tricky.
That a powerful volcano erupted somewhere in
the world, sometime in the Middle Ages, is written in
polar ice cores in the form of layers of sulfate
deposits and tiny shards of volcanic glass. These
cores suggest that the amount of sulfur the mystery
...................................................................................................
Quilotoa, estimated to have last erupted between
1147 and 1320 C.E. But when Lavigne’s team
examined shards of volcanic glass from this volcano,
they found that they didn’t match the chemical
composition of the glass found in polar ice cores,
whereas the Samalas glass is a much closer match.
That, they suggest, further strengthens the case that
Samalas was responsible for the medieval “year
without summer” in 1258 C.E."
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I NEED THIS ASAP!!!!!!!!!!!!! 30 points
Activity Quiana took out a loan to pay for a new car. Initially, she owed the lender $15,234.68. She has repaid $247.43 of the loan each month for the past 5 months. What is the net change to the loan from Quiana’s perspective over the past 5 months? Complete the steps below to help Quiana calculate the loan amount that she’s repaid to the lender.
Part F One way to simplify expressions with negative terms is to distribute the -1s. Rewrite the expression from Part E, factoring out a -1 from any negative value.
Answer:
$13,997.53
Step-by-step explanation:
The simplest, minimally acceptable answer would stem from multiplying by 5 the $247.43 monthly payment and subtracting the result from the amount initially owed:
$15,234.68
-$ 1,237.15
----------------
$13,997.53
If a figure is a square, its diagonals divide it into isosceles triangles.
p: A figure is a square.
q: A figure's diagonals divide into isosceles triangles.
Which represents the converse of this statement? Is the converse true?
The converse of the statement "If a figure is a square, its diagonals divide it into isosceles triangles" would be:
"If a figure's diagonals divide it into isosceles triangles, then the figure is a square."
The converse statement is not necessarily true. While it is true that in a square, the diagonals divide it into isosceles triangles, the converse does not hold. There are other shapes, such as rectangles and rhombuses, whose diagonals also divide them into isosceles triangles, but they are not squares. Therefore, the converse of the statement is not always true.
Therefore, the converse of the given statement is not true. The existence of diagonals dividing a figure into isosceles triangles does not guarantee that the figure is a square. It is possible for other shapes to exhibit this property as well.
In conclusion, the converse statement does not hold for all figures. It is important to note that the converse of a true statement is not always true, and separate analysis is required to determine the validity of the converse in specific cases.
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Factor x^2 + 9x + 14
Answer:
(x+2)(x+7)
Step-by-step explanation:
Factor out the expression and simplify if needed.
Answer:
(x+2)(x+7)
Step-by-step explanation:
what adds to 9: 2 and 7
what multiplies to 14: 2 and 7
Double bubble, put x in both of the bubbles, and positive 2 and 7, that is in factored form.
Which of the following angles are congruent?
:Corresponding Angles
Supplementary Angles
Answer:
The corresponding angles are congruent but not supplementary angles because the Supplementary may have any two other angles which their sum is 180 show the corresponding angles are congruent if you understand please like and follow me.