solve the equation x to the 3 power = -215
Answer:
cube root of -215 or -5.9
Step-by-step explanation:
Since this can't be a perfect cube the answer would be cube root of -215 or you find the closest perfect cubes which would be -5 and -6
-5cubed is -125 and -6cubed is -216 and -215 is closer to -216 the number approximately would be -5.9
Hope this helps :)
The cube root of the number -215 will be 5.99i.
What is a cube root?An integer y such that y³ = x is known as the cube root of a number x in mathematics. All nonzero complex numbers have three different complex cube roots, while all nonzero real numbers have exactly one real cube root and two complex conjugate cube roots.
Iota is a fictitious unit number represented by the letter I and its value is -1. You may have encountered circumstances where the discriminant is negative while attempting to solve quadratic equations.
Given the expression of cube root is x³ = -215.
x³ = -215
x = ∛-215
x = 5.99i
Therefore, the cube root of the number -215 will be 5.99i.
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The following are the ages (years) of 5 people in a room:
20, 13, 14, 21, 18
A person enters the room.
The mean age of the 6 people is now 22.
What is the age of the person who entered the room
Answer:
The means age of other people who entered the room will be 44
Use proportional reasoning to find 45% of 200
Answer:
90 i think :)
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
By reasoning, we can say 50% of 200 is 100
We can say 10% of 200 is 20
We divide 20 by 2 to get 5%
20/2
= 10
Subtract 100 by 10
100 - 10
= 90
45% of 200 is 90
Ben wants to buy 2 blue sweaters for $116 each and 3 brown sweaters for $42 each.
How much will Ben spend on the five sweaters?
Ben will spend $
on the five sweaters.
The base of an inosceles triangle is 30" and the altitude to that base is 8" Find the length of one of
the two equal sides of the triangle.
5^4 / 5^2 =
(Type exponential notation with positive exponents.)
The expression 5⁴/5² will result in 5².
What is numerator and denominator?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.
In another word, if we divide two numbers by each other then the upper word is called the numerator, and a lower word is called the denominator.
For example a fraction 1/5 here 1 will be the numerator and 5 will be denominated.
Given that, 5⁴/5²
5⁴/5² = 5²×5²/5²
⇒ 5²
Hence "The expression 5⁴/5² will result in 5²".
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On the double number line, 3 minutes corresponds to 180 beats.
0 ? 120 180 240 300
Beats:
Minutes:
0 1
2
3
4
5
How many beats are there in 3 minutes? Type your answer as a number.
Three minutes equal 180 beats on the double number line. three minutes of 270 beats 2:180=90 , 3:270=90
How many beats are in 3 minutes ?In music, a beat is a pulse that occurs repeatedly. Simple meters are those in which the beat first breaks into two, and subsequently into four. There are two beat groups in double meters, three beat groups in triple meters, and four beat groups in quadruple meters.
For double, triple, and quadruple meters, there are several conducting patterns. One group of beats equals one measure (duple, triple, or quadruple). Bar lines divide the measures. Simple meters' time signatures specify two things: the beat unit, or note value that represents the beat, and the number of beats in each measure (the top number). Notes are graphically grouped by beat and connected by a beam.
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I set z=t=0(x,y,z,t)
and I got a partial solution (0,1,0,0).
I solved two homogeneous matrices once for z=1
and t=0
, then for z=0
and t=1
and I got two solutions (1,1,1,0)
and (1,1,0,1).
Then, I got (0,1,0,0)+a∗(1,1,1,0)+b∗(1,1,0,1
)
Therefore, all possible results are (0,1,0,0),(1,0,1,0),(1,0,0,1),(0,1,1,1)
Would this be correct?
The correct set of possible results would be (0, 1, 0, 0), (1, 2, 1, 0) and (1, 2, 0, 1).
Your approach seems to be correct, but there seems to be a minor mistake in your final list of possible solutions. Let's go through the steps to clarify.
Given the initial conditions z=t=0, you obtained a partial solution (0,1,0,0).
Next, you solved the homogeneous equations for z=1 and t=0, which resulted in a solution (1,1,1,0).
Similarly, solving the homogeneous equations for z=0 and t=1 gives another solution (1,1,0,1).
To find the general solution, you combine the partial solution with the solutions obtained in the previous step, using parameters a and b.
(0,1,0,0) + a(1,1,1,0) + b(1,1,0,1)
Expanding this expression, you get:
(0+a+b, 1+a+b, 0+a, 0+b)
Simplifying, you obtain the following set of solutions:
(0, 1, 0, 0)
(1, 2, 1, 0)
(1, 2, 0, 1)
Therefore, the correct set of possible results would be:
(0, 1, 0, 0)
(1, 2, 1, 0)
(1, 2, 0, 1)
Note that (0, 1, 1, 1) is not a valid solution in this case, as it does not satisfy the initial condition z = 0.
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Please help to find this area and I will give you brainliest answer
write a equation of the line that passes through (2,1) and has a slope of 3
Answer:
The equation is y=3x-5.
The four candidates in an election are each supported by a different political organization
In a political election, it is not uncommon for each candidate to be supported by a different political organization. This is often reflective of the diverse political landscape of a given area, with various groups vying for power and influence.
One candidate may be supported by a liberal organization, while another may have the backing of a conservative group. There may also be candidates who are supported by smaller, niche organizations that represent specific issues or causes.
Regardless of the specific organizations involved, this dynamic can create a complex and competitive political environment. Candidates must work hard to appeal to their respective supporters, while also trying to win over voters who may not be aligned with any particular political organization.
Ultimately, the success of each candidate will depend on their ability to build a broad coalition of support, while also staying true to the values and principles of their respective organizations. This can be a challenging balancing act, but it is an essential part of the political process.
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0.825167 rounded to the nearest ten-thousandth
Use decomposition to find the area of the figure.
A drawing of a composite shape made up of two triangles with a common base and the length of the base equals 10 miles. The heights of the two triangles are 7 miles and 4 miles.
Therefore , the solution of the given problem of triangle comes out to be the shape is 55 square miles.
What precisely is a triangle?Because a triangular has two or more extra sections, it is a polygon. It's shape is a simple rectangle. A triangular shape can only be distinguished from a parallelogram by its sides A, B, and C. A singular plane rather than a cube is produced by Euclidean geometry when the edges are not perfectly collinear. A shape is referred to as triangular if it has three sides and three angles. An angle is the point where a quadrilateral's three sides meet. A triangle's sides add up to 180 degrees.
Here.
Two triangles with a base of 10 miles and heights of 7 miles and 4 miles can be formed from the composite design.
The following method can be used to determine a triangle's area:
A = (1/2)bh
where A represents area, B represents foundation, and H represents height.
We can calculate each triangle's area using the following formula:
=> Area of 1st triangle
=> (1/2)(10)(7) = 35 square miles
=> Area of 2nd triangle
=> (1/2)(10)(4) = 20 square miles
The two triangles' combined regions make up the composite shape's surface area.
55 square miles is the combined shape's area
=> (35 + 20).
Consequently, the combined size of the two triangles in the shape is 55 square miles.
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In circle O, MAXB = 250. What is mZAOB?
Answer:
Radius of a circle
Step-by-step explanation:
1. A line from the center of a circle to a point on the circle.
2. The distance from the center of a circle to a point on the circle.
Try this Drag the orange dot. The blue line will always remain a radius of the circle.
Answer:125
Step-by-step explanatio125
A confidence interval is made from a __________ to estimate the truth for a ______________.
To determine the accuracy of a "population parameter," a "sample statistic" is used to create a confidence interval.
Define the word confidence interval?Although they are connected, confidence level and confidence interval are not the same thing.
A wide range of values that are bound by the statistic's mean and that are likely to include an unidentified population parameter. The proportion of probability, or surety, that perhaps the confidence interval might include the real population parameter when a random sample is drawn numerous times is referred to as the confidence level. We are 99% confident (confidence level) that the majority of all these observations (confidence intervals) include the genuine population parameter, to use colloquial language. The researchers come at an upper and lower limit that 95% of the time contain the true mean by creating a 95% confidence interval that use the sample's median and standard deviation and adopting a normal distribution represented by the bell curve.Thus, to evaluate the accuracy of a "population parameter," a "sample statistic" is used to create a confidence interval.
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Polygon WXYZ has vertices W(4, 2), X(6, 4), Y(2, 3), and Z(4, 5). If W′X′Y′Z′ is a dilation of WXYZ with center of dilation (0, 0) and vertex coordinates W′(2, 1), X′(3, 2), Y′(1, 1.5), and Z′(2, 2.5), find the scale factor.
Answer:
the scale factor is 2 ..................
The amount of time a person has to wait to be seen in a health clinic can be modeled by the equation 5h = x/4 + 2, where h is the wait time in hours, and x is the number of patients ahead in line.
What is the predicted wait time if there are 8 patients ahead in line?
Answer:
0.8 hours = 48 minutes
Step-by-step explanation:
Given equation:
\(5h=\dfrac{x}{4}+2\)
where:
h = wait time (in hours)x = number of patients ahead in lineTo find the predicted wait time if there are 8 patients ahead in line, substitute x = 8 into the equation and solve for h:
\(\implies 5h=\dfrac{8}{4}+2\)
\(\implies 5h=2+2\)
\(\implies 5h=4\)
\(\implies \dfrac{5h}{5}=\dfrac{4}{5}\)
\(\implies h=0.8\:\:\sf hours\)
Therefore, the predicted wait time is 0.8 hours.
To convert this into minutes, multiply by 60 (since there are 60 minutes in an hour):
⇒ 0.8 hours = 0.8 × 60 = 48 minutes
Which expression is equivalent?
Each histogram represents a set of data with a median of 29.5. Which set of data most likely has a mean that is closest to 29.5?
A graph shows the horizontal axis numbered 9 to 48. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 33 then a downward trend from 33 to 45.
A graph shows the horizontal axis numbered 15 to 48. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 30 then a downward trend from 30 to 45.
A graph shows the horizontal axis numbered 12 to 56. The vertical axis is numbered 2 to 8. The graph shows an upward trend from 1 to 32 then a downward trend from 32 to 56.
A graph shows the horizontal axis numbered 15 to 54. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 24, a downward trend from 24 to 27, an upward trend from 27 to 30, a downward trend from 30 to 39, an upward trend from 39 to 45, a downward trend from 45 to 48, then an upward trend from 48 to 51.
To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.
Looking at the histograms described:
The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.
The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.
The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.
The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.
Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.
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To be eligible for financial aid, a student must earn at most $30,000 per year.
use s to represent the yearly earnings (in dollars) of a student eligible for financial aid.
use s to represent the yearly earnings
If the eligibility criteria for financial aid for a student is that at most they earn $30,000 per year, then if s is the yearly earnings in dollars, the criteria can be expressed by s ≤ 30,000.
At most earning of $30,000 per year means that the maximum yearly earning to be eligible for financial aid is $30,000. That is the yearly earning can be less than or equal to $30,000. This can be expressed mathematically by
s ≤ 30,000
This is an inequality. As the relationship between the values is not equal, we use an inequality to describe it.
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Let \( X \) represent a binomial random variable with \( n=115 \) and \( p=039 \). Find the following probabilities (Do not round intermediate calculations. Round your final onswers to 4 decimal place
To find the probabilities for a binomial random variable, we need to use the formula:
P(X=k) = (nCk) * p^k * (1-p)^(n-k)
where n is the number of trials, p is the probability of success, X is the number of successes, and k is the specific number of successes we are interested in.
Given n=115 and p=0.39, let's find the probabilities:
1. P(X=30):
Using the formula, P(X=30) = (115C30) * 0.39^30 * (1-0.39)^(115-30)
Calculate the combination (115C30) = 115! / (30!(115-30)!)
Evaluate 0.39^30 and (1-0.39)^(115-30)
Multiply the three values together to find P(X=30)
2. P(X≥50):
P(X≥50) = P(X=50) + P(X=51) + ... + P(X=115)
Calculate each probability P(X=k) for k=50 to 115
Sum all the probabilities to find P(X≥50)
3. P(X<20):
P(X<20) = P(X=0) + P(X=1) + ... + P(X=19)
Calculate each probability P(X=k) for k=0 to 19
Sum all the probabilities to find P(X<20)
Remember to round your final answers to 4 decimal places as instructed.
To find the probabilities for a binomial random variable with n=115 and p=0.39, we use the formula P(X=k) = (nCk) * p^k * (1-p)^(n-k). We can find specific probabilities like P(X=30), cumulative probabilities like P(X≥50), and the sum of probabilities like P(X<20).
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The m∠P is three less than twice the measure of ∠Q. If ∠P and ∠Q are supplementary angles, find the measures of both angles.
Answer:
m∠P =119
m∠Q = 61
Step-by-step explanation:
m∠P = 2(∠Q)-3 or p=2(q)-3
supplementary angles so they combine to equal 180!
soooooo we can take
q+p=180
input what p equals and you get
q+ 2(q)-3=180
3q-3=180
3q=183
q=61
now we have what m∠Q is, so just subtract that from 180 to get m∠P
180-61=119
Which of the following are solutions to the equation below?Check all that apply.x-5x+ 1 = 0A. x =5+29B. x = 5 - 292.C. x= 5+ V212D. x= -1 - 212E. x = =*+,x21F. x =5 - 2152
It is calculated using the quadratic formula
\(x\text{ = }\frac{-b\text{ }\pm\sqrt[]{b^2-4ac}}{2a}\)In the equation
\(x^2-5x+1=0\)a = 1, b = -5 and c = 1
Substitute the given to the quadratic formula
\(\begin{gathered} x\text{ = }\frac{5+\sqrt[]{21}}{2} \\ x\text{ = }\frac{5-\sqrt[]{21}}{2} \end{gathered}\)Plz help with this math problem
sin I=opposite/hypothesis
sin I=√57/10
sin I=0.754983
=0.75
Please help me solve this. Explain your answer thoroughly
Answer:
\(g(f(x)) = 4 - \frac{3}{2} ( \frac{1}{2}x + \frac{3}{2} ) \\ \\ = 4 - \frac{3}{4} x - \frac{9}{4} \\ \\ = \frac{16}{4} - \frac{3}{4}x - \frac{9}{4} \\ \\ = \frac{7}{4} - \frac{3}{4} x\)
We put the equation g(x) and substitute in the place of x the equation f(x) .
I hope I helped you^_^
Which shows two triangles that are congruent by the SSS congruence theorem?
O
O
O
A
B
B
B
B
E
E
C
C
D
D
E
W
The second option shows a pair of triangles which are congruent by the SSS congruence theorem.
What is the SSS congruence theorem?The SSS (Side - Side - Side) congruence theorem states that if two triangles have three sides that are congruent to each other, then the two triangles are congruent by the SSS theorem.
The congruent sides for the second option are given as follows:
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Express the location of the point on the number line as both a fraction and a decimal.
when can we conceptually isolate the strength of the evidence from the prior probability of the theory? select an answer and submit. for keyboard navigation, use the up/down arrow keys to select an answer. a only in cases when we observe the relevant evidence and then form hypotheses to explain them b only in cases when we can form hypotheses prior to testing them with evidence c whether we make observations first or form our hypotheses first d we can never reliably do this because of the problem of ad hoc modification
We can conceptually isolate the strength of the evidence from the prior probability of the theory when we make observations first or form our hypotheses first. Correct option is C.
The concept of isolating the strength of evidence from the prior probability of the theory is known as Bayesian inference, which involves updating our prior beliefs about a theory or hypothesis based on the observed evidence.
This process can be done whenever we have some initial prior belief about the theory or hypothesis and then collect new evidence to test it.
In Bayesian inference, the strength of evidence is measured by the likelihood of the observed data given the theory or hypothesis, and the prior probability is the initial belief or probability assigned to the theory or hypothesis before the evidence is considered.
By combining these two sources of information, we can calculate a posterior probability or updated probability of the theory or hypothesis given the observed evidence.
Therefore, the answer is c) whether we make observations first or form our hypotheses first. The order in which we collect the evidence or form hypotheses does not affect our ability to conceptually isolate the strength of the evidence from the prior probability of the theory, as long as we use Bayesian inference to update our beliefs.
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The square of a certain negative number is equal to five more than one-half of that number. What is the number?
-2
-5/2
-1/2
Answer:
-2
Step-by-step explanation:
easy one - giving brainly!
Answer:
6:9,2:3
Step-by-step explanation:
sorry I Only knew this much
Answer:
well to make life easier
You can always just simplify the given ratio
12:18 is basically 2:3 and we can use that as a base line
so we got
2:3
6:9
12:18
24:36
48: 72
It goes on you can just multiply by 2