In this case, the cube root is = 0
Why is this so?We can use the rule Sarrus to evaluate the determinant
1 w w²
w w² 1
w² 1 w
Starting with the first column, we can wrte out the terms for the diagonal products and
then sum the terms for the products of the diagonal elements that wrap around
(1 x w² x w) +(w x 1 x w²) + (w² x w x w) - (w ² x w x 1) - (w x w² x w) - (1 x w x w ²)
Simplifying each term:
w³ + w³ + w³ - w³ -w³ - w³
We can see that all the terms cancel out, leaving us with a determinant of 0. So it is clear that
|1 w w²|
|w w² 1 |
|w² 1 w | = 0
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Full Question:
Although part of your question is missing, you might be referring to this full question:
Evaluate the determinant 1 w w2 , w w2 1, w2 1 w. where w is a cube root of unity.
Need help with this question. Been stuck on this for 20 mins.
Answer:
see below
Step-by-step explanation:
The Reason for #1 is literally GIVEN to you.
Statement #2: Since the Base Angles of an isosceles triangle are congruent, this statement should be ∠CAB≅∠CBA.
Reason #3: Notice that the statement repeats itself (AB=AB). This demonstrates the REFLEXIVE property.
Reason #4: (Clue) Note which items have been Given or Proven congruent and use it as the triangle congruence property. It helps to actually mark them. Your choices are SSS, SAS, ASA, and AAS.
Reason #5: (Clue) Since the triangles of which AM and BN are of part are now proven congruent, these Corresponding Parts are Congruent as well.
Express all real numbers greater than 5 in interval notation.
All real numbers greater than 5 can be expressed in interval notation as:
(5, ∞)
How to express all real numbers greater than 5 in interval notation?Interval notation is a way of representing an interval on a number line. Simply, it is a method of writing subsets of the real number line.
All real numbers greater than 5 can be expressed in interval notation as:
(5, ∞)
Where the round bracket "(" means 5 is not included in the interval, and the infinity symbol "∞" means the interval continues indefinitely to the right.
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Please help me with this question
Answer:
Your answer is E) 1/2 , -6 , 5
Step-by-step explanation:
Find the slope between (-6,5) then simplify and you will get 1/2
Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 15 hours. Together they charged a total of $2600. What was the rate charged per hour by each mechanic if the sum of the two rates was $155
per hour?
the first mechanic charged $55 per hour and the second mechanic charged $100 per hour. we solve this by forming equation by by given data.
what is equation ?
An equation is a mathematical statement that shows that two expressions are equal. It typically consists of two sides separated by an equal sign (=). The expressions on each side of the equal sign can contain variables,
In the given question,
Let's assume that the first mechanic charged x dollars per hour and the second mechanic charged y dollars per hour.
From the problem, we know that:
The first mechanic worked for 20 hours, so he charged 20x dollars.
The second mechanic worked for 15 hours, so he charged 15y dollars.
Together, they charged a total of $2600, so we have:
20x + 15y = 2600
The sum of the two rates was $155 per hour, so we have:
x + y = 155
We can use these two equations to solve for x and y. First, we can rewrite the second equation as:
y = 155 - x
Then, we can substitute this expression for y into the first equation:
20x + 15(155 - x) = 2600
Simplifying and solving for x, we get:
20x + 2325 - 15x = 2600
5x = 275
x = 55
Now that we know x, we can use the second equation to find y:
y = 155 - x = 155 - 55 = 100
Therefore, the first mechanic charged $55 per hour and the second mechanic charged $100 per hour.
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where should the linear inequality y ≤ 3/2x + 3 be shaded?
Answer:
Step-by-step explanation:
it should be shaded at the 76
Question 7(Multiple Choice Worth 1 points)
(07.04 HC)
Right triangle ABC is located at A (-1, -2), B (-1, 1), and C (-5, 1) on a coordinate plan
O (x + 1)2 + (y + 2)² = 9
O (x + 5)² + (1)² = 16
O(x + 1)2 + (y + 2)² = 25
O(x + 5)² + (y-1)² = 25
Answer:
O (x + 1)2 + (y + 2)² = 9
Step-by-step explanation:
This is because the distance between points A and B is 3 units, and the distance between points B and C is 4 units, making the triangle a 3-4-5 right triangle. Point B is located at (-1, 1), which is 3 units away from point A (-1, -2) and 4 units away from point C (-5, 1). Therefore, the circle with center (-1, -2) and radius 3 would pass through point B, and its equation would be:
(x + 1)2 + (y + 2)² = 3²
(x + 1)2 + (y + 2)² = 9
If 86
is added to a number, the result is 44
less than three times the number. Find the number.
Answer:
x = 65
Step-by-step explanation:
let the number be 'x'.
If 86 is added to a number, the result is 44 less than three times the number. Therefore the equation will be,
=> 86 + x = 3x - 44
Rearranging,
=> x - 3x = -44 - 86
=> -2x = -130
=> x = 130/2
=> x = 65
I also need help on finding the pvalue
The claim is: Testing if the time spent completing the obstacle course is improved by the energy drink
The null and the alternate hypotheses are added below
Stating the null and the alternate hypothesisFrom the question, we have the following parameters that can be used in our computation:
The table
Also, we have the following statistical question
Is there sufficient evidence at α = 0.05 to conclude that the students did better the second time?
This means that the null hypothesis are
H1: There is no significant difference in the time spent to complete the obstacle course before and after drinking the new energy drink.
The alternate hypothesis is the opposite of the null hypothesis
So, we have
H2: There is no significant difference in the time spent to complete the obstacle course before and after drinking the new energy drink.
Lastly, the claim is that
Testing if the time spent completing the obstacle course is improved by the energy drink
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the set of five number each of which is divisible by 3
Answer:
{3, 6, 9, 12, 15}
Each of these numbers is divisible by 3
Step-by-step explanation:
The amount of money in a saving account increases bu D. 2% every month
Write a function for the amount of money in the accounts, after t months with an initial deposit of tr $ 100
By what' factor does the amount in the account increases ever meant every year?
The exponential function giving the balance of the account after t months is:
[tex]y = 100(1.02)^t[/tex]
The yearly growth factor is given as follows:
26.82%.
How to define an exponential function?An exponential function has the definition presented as follows:
[tex]y = ab^x[/tex]
In which the parameters are given as follows:
a is the value of y when x = 0.b is the rate of change.The parameter values for this problem are given as follows:
a = 100 -> initial deposit.b = 1.02 -> increase of 2% every month -> 1 + 0.02 = 1.02.Hence the function is:
[tex]y = 100(1.02)^t[/tex]
The yearly growth factor can be obtained as follows:
[tex](1.02)^{12} = 1.2682[/tex]
Increase of 26.82% each year, which is composed by 12 months.
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Eight birds live in each bird house in Mrs.Tillman's yard. Complete the table to show how the number of birds,b, depends on the houses,h.
The number of birds in Mrs. Tillman's yard depends on the number of birdhouses in a linear fashion, with each birdhouse containing 8 birds
How to solveTo find the number of birds (b) in a given number of bird houses (h), we can use the formula: b = 8h
Now, we can complete the table:
Number of bird houses (h) Number of birds (b)
1 8
2 16
3 24
4 32
5 40
So, the number of birds in Mrs. Tillman's yard depends on the number of birdhouses in a linear fashion, with each birdhouse containing 8 birds.
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Mrs. Tillman has bird houses in her yard, with eight birds living in each bird house. Complete the table to show how the number of birds (b) depends on the number of bird houses (h):
Number of bird houses (h) Number of birds (b)
1
2
3
4
5
Two coins are tossed. Assume that each event is equally likely to occur.
a) Use the counting principle to determine the number of sample points in the sample space.
b) Construct a tree diagram and list the sample space.
c) Determine the probability that no tails are tossed.
d) Determine the probability that exactly one tail is tossed.
e) Determine the probability that two tails are tossed.
f) Determine the probability that at least one tail is tossed.
Question content area bottom
Part 1
a) There is/are --------- sample point(s) in the sample space.
a. There are 4 sample points in the sample space.
What are the probability values for the toss?a) There are 4 sample points in the sample space.
b) The tree diagram and sample space are:
HH (two heads)
HT (one head, one tail)
TH (one head, one tail)
TT (two tails)
c) The probability that no tails are tossed (two heads) is 1/4 or 0.25.
d) The probability that exactly one tail is tossed (HT or TH) is 1/2 or 0.5.
e) The probability that two tails are tossed is 1/4 or 0.25.
f) The probability that at least one tail is tossed (HT, TH, or TT) is 3/4 or 0.75.
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Consider the data set shown. How does the outlier affect the mean, median, and mode
7, 11, 10, 8, 10, 23, 8
The outlier does not affect the mode
The outlier will increase the mean.
The outlier will not affect the median.
How does outlier affect the mean, median and mode?The outlier will increase the mean because it will significantly increase the sum of the values.
The presence of an outlier will not affect the median, as it only changes the position of the middle value.
The mode is the value that occurs most frequently in a data set. In this case, the mode will not be affected because the outlier is not the most frequent in the data set and only appears once.
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Last week Kristen spent 4 hours gardening over a period of 7 days .she spent the same amount of time gardening each day.about how much time did she spend gardening each day last week
Answer:
28
Step-by-step explanation:
i did 7 times 4
HELP ASAPPPP I NEED HELP
Answer:
137 yd2
Step-by-step explanation:
P(JIK) = 0.35, P(KJ) = 0.95, P(K) = 0.3
What is P(J)?
O 0.1105
O 0.8143
O 0.8895
O 0.1857
The conditional value probability is solved and P ( J ) = 0.1105
Given data ,
P(JIK) = 0.35, P(KJ) = 0.95, P(K) = 0.3
We can use Bayes' theorem to find P(J):
P(J | K) = P(K | J) * P(J) / P(K)
0.35 = 0.95 * P(J) / 0.3
0.35 * 0.3 = 0.95 * P(J)
0.105 = 0.95 * P(J)
P(J) = 0.105 / 0.95
P(J) = 0.1105
Hence , the probability is P ( J ) = 0.1105
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a grocery store sells a 7 oz bag of raisins for $1.10 and a 9oz bag of raisins for $1.46. Which size bag has the lower price per ounce?
To determine which size bag has the lower price per ounce, we need to calculate the price per ounce for each bag.
For the 7 oz bag, the price per ounce is:
1.10 / 7 = 0.1571
For the 9 oz bag, the price per ounce is:
1.46 / 9 = 0.1622
Therefore, the 7 oz bag has the lower price per ounce, at approximately $0.16 per ounce, compared to the 9 oz bag at approximately $0.16 per ounce. So, if the goal is to get the most value for your money, it would be better to purchase the 7 oz bag of raisins.
Consider the graph of the function f(x)=(1/4)^x
Which statements describe key features of function f?
The horizontal asymptotes of the function is y = 0 and the y-intercepts is (0, 1).
What is graph of exponential functionAn exponential graph is a curve that represents an exponential function. An exponential graph is a curve that has a horizontal asymptote and it either has an increasing slope or a decreasing slope. i.e., it starts as a horizontal line and then it first increases/decreases slowly and then the growth/decay becomes rapid.
In this problem, the graph of the function f(x) = (1/4)ˣ is attached below the question and the characteristics of the graph are;
1. The domain of the function is {x|x ∈ R}
2. The range of the function is {y|y > 0}
3. The horizontal asymptotes is y = 0
4. The x-intercepts does not exists
5. The y-intercepts are (0, 1)
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The following transactions are taken from the record of ABC
(a) Commenced business with cash of Rs. 1,00,000 and Machine of Rs. 50,000.
(b) Purchased goods for cash Rs. 30,000 and credit Rs. 10,000.
(c) Sold goods for cash Rs. 25,000 and credit Rs. 15,000.
(d)
Goods taken by the owner for private use Rs. 2,000.
Cash paid to creditors Rs 8,000.
(e)
(f) Cash received from debtors Rs. 14,500 in full settlement.
(g) Received a loan of Rs. 5,000 from Mr. Dipendra.
(h) He introduced additional capital Rs. 40,000.
Required: Accounting equation
Ans: A = Rs. 1,94,500, C= Rs. 1,87,500, L = Rs. 7,000
The accounting equation is:
Assets = Rs. 2,19,500
Liabilities = Rs. 1,000
Capital = Rs. 2,10,500
How to determine the accounting equationThe accounting equation is:
Assets = Liabilities + Capital
(a) Commenced business with cash of Rs. 1,00,000 and Machine of Rs. 50,000.
Assets = Cash + Machine = Rs. 1,00,000 + Rs. 50,000 = Rs. 1,50,000
(b) Purchased goods for cash Rs. 30,000 and credit Rs. 10,000.
Assets = Cash + Inventory = Rs. 1,30,000
Liabilities = Accounts Payable = Rs. 10,000
(c) Sold goods for cash Rs. 25,000 and credit Rs. 15,000.
Assets = Cash + Accounts Receivable + Inventory = Rs. 1,70,000
Liabilities = Accounts Payable = Rs. 10,000
(d) Goods taken by the owner for private use Rs. 2,000.
Assets = Cash + Accounts Receivable + Inventory - Drawings = Rs. 1,68,000
(e) Cash paid to creditors Rs 8,000.
Assets = Cash + Accounts Receivable + Inventory - Drawings = Rs. 1,60,000
Liabilities = Accounts Payable - Rs. 8,000 = Rs. 2,000
(f) Cash received from debtors Rs. 14,500 in full settlement.
Assets = Cash + Inventory - Drawings = Rs. 1,74,500
Liabilities = Accounts Payable - Rs. 8,000 = Rs. 2,000
Capital = Rs. 1,70,500
(g) Received a loan of Rs. 5,000 from Mr. Dipendra.
Assets = Cash + Inventory - Drawings = Rs. 1,79,500
Liabilities = Accounts Payable - Rs. 8,000 + Loan Payable Rs. 5,000 = Rs. 1,000
Capital = Rs. 1,74,500
(h) He introduced additional capital Rs. 40,000.
Assets = Cash + Inventory - Drawings = Rs. 2,19,500
Liabilities = Accounts Payable - Rs. 8,000 + Loan Payable Rs. 5,000 = Rs. 1,000
Capital = Rs. 2,10,500
Therefore, the accounting equation is:
Assets = Rs. 2,19,500
Liabilities = Rs. 1,000
Capital = Rs. 2,10,500
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Statistics Help, pls help me
A nationwide award for high school students is given to outstanding students who are sophomores, juniors, or seniors (freshmen are not eligible). Of the award-winners, 65 percent are SENIORS, 23 percent JUNIORS, and 12 percent are SOPHOMORES.
a) The probability of selecting exactly 3 award-winners before selecting a SENIOR is 0.078875
b)The probability of selecting more than 2 award-winners before selecting a JUNIOR is 0.135437
c)The probability of selecting 2 or fewer award-winners before selecting a SOPHOMORE is 0.252744
Define probabilityProbability is a measure of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 indicates that the event is impossible, and 1 indicates that the event is certain to occur.
(a) The probability of selecting a SENIOR is 0.65, and the probability of not selecting a SENIOR is 0.35.
Since we are selecting award-winners until we select a SENIOR, the first two selections must not be SENIORS, and the third selection must be a SENIOR.
the probability of selecting exactly 3 award-winners before selecting a SENIOR is:
P(not SENIOR) x P(not SENIOR) x P(SENIOR) = 0.35 x 0.35 x 0.65 = 0.078875
(b)Therefore, the probability of selecting more than 2 award-winners before selecting a JUNIOR is:
P(not JUNIOR) x P(not JUNIOR) x P(JUNIOR) = 0.77 x 0.77 x 0.23 = 0.135437
To find the probability of selecting more than 2 award-winners, we can subtract this value from 1, since the only other possibility is selecting exactly 2 award-winners before selecting a JUNIOR:
P(more than 2) = 1 - P(exactly 2) = 1 - (P(not JUNIOR) x P(JUNIOR) x P(not JUNIOR)) = 1 - (0.77 x 0.23 x 0.77) = 0.567911
(c) The probability of selecting a SOPHOMORE is 0.12, and the probability of not selecting a SOPHOMORE is 0.88.
Since we are selecting award-winners until we select a SOPHOMORE, we can keep selecting SENIORS and JUNIORS until we select a SOPHOMORE.
Therefore, the probability of selecting 2 or fewer award-winners before selecting a SOPHOMORE is:
P(SOPHOMORE) + P(not SOPHOMORE) x P(JUNIOR) x P(SOPHOMORE) + P(not SOPHOMORE) x P(not JUNIOR) x P(JUNIOR) x P(SOPHOMORE) = 0.12 + (0.88 x 0.23 x 0.12) + (0.88 x 0.77 x 0.23 x 0.12) = 0.252744
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Stan lawn mower had 1/8 of a gallon of gasoline in the tank he added 6/10 to the tank after he only had 1/4 of a gallon what was the total used
Stan used 19/40 of a gallon of gasoline.
Given that;
At first, Stan's lawn mower had 1/8 of a gallon of gasoline in the tank. When it got finished, he put 6/10 of a gallon of gasoline in the tank.
Hence, It means that the number of gallons of gasoline that he has already put in the tank is
1/8 + 6/10 = 29/40 of a gallon.
Now, After he mowed, 1/4 of a gallon was left in the tank.
Therefore, the total amount of gasoline Stan used is
29/40 - 1/4 = 19/40 of a gallon
Thus, the total amount of gasoline Stan used is, 19/40 of a gallon
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14 A national standardized test is given in May that generates a mean score of 350 with a standard
deviation of 18. What is the probability that a randomly selected test score will fall in the
interval 360 to 380?
(1) 0.56
(2) 0.013
(3) 0.24
(4) 0.76
The probability that a randomly selected test score will fall in the interval 360 to 380 is the option (3), 0.24.
How to solveTo calculate the probability that a test score falls between 360 and 380, we need to standardize these values by subtracting the mean and dividing by the standard deviation.
This gives us:
z(360) = (360-350)/18 = 0.56
z(380) = (380-350)/18 = 1.67
We can then use a standard normal distribution table or a calculator to find the area under the curve between these two z-scores.
The probability is approximately 0.24.
Therefore, the answer is option (3), 0.24.
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what is the suface area of 11cm and 14cm
Answer:
429 i think
Step-by-step explanation:
Find the equation of the line that passes through the point (3,−5) and is perpendicular to the line y=1/5x-2
HELP ITS AN EMERGENCY
Given the expression: 4x2 + 18x − 10
Part A: What is the greatest common factor? Explain how to find it. (3 points)
Part B: Factor the expression completely. Show all necessary steps. (5 points)
Part C: Check your factoring from Part B by multiplying. Show all necessary steps. (2 points)
Answer:
Part A ----> 2
Part B ----> 2 (2x - 1) (x + 5)
Part C -----> See explanation below
Step-by-step explanation:
Given expression is
4x² + 18x - 10
Part A
The greatest common factor (GCF) of the terms 4x², 18x and 10 is the largest number that divides into all three numbers without a remainder
To find this
Find the prime factors of each of the terms
4x² = 2 · 2 · x · x
18x = 2 · 3 · 3 · x
10 = 2 · 5
The prime factor common to all 3 is 2
Therefore the GCF of the expression is 2
Part B
The factored expression can be obtained by factoring out the GCF
4x² + 18x - 10 = 2(2x² + 9x - 5)
We can further factor the term in parentheses:
2x² + 9x - 5
To do this,
Break the expression into groups:
= (2x² - x) + (10x - 5)
Factor x from 2x² - x: x(2x - 1)
Factor 5 from 10x - 5: 5(2x - 1)
Therefore
(2x² - x) + (10x - 5) = x(2x - 1) + 5(2x - 1)
Factor out the common term 2x -1 to get
(2x - 1)(x + 5)
Therefore
4x² + 18x + 10 = 2 (2x - 1) (x + 5)
Part C
Checking if factorization is correct
Multiply (2x - 1)(x + 5) using the FOIL method
= 2x ·x + 2x · 5 + (-1) · x + (-1) · 5
= 2x² + 10x -1x -5
= 2x² + 9x - 5
Multiply the whole expression by 2
2 · 2x² + ² · 9x - 2 · 5
= 4x² + 18x + 10
which is the original expression
So the factorization is correct
need answer for this +explanation
______________________________
A = L × B × H = 2 × 2 × 5= 20in²______________________________
Function f is an exponential function. It predicts the value of a famous painting, in thousands of dollars, as a function of the number of years since it was last purchased.
What equation models this function?
ANSWER: 8(1.25)x just took the test
Answer:
[tex]f(t) = 8e^{0.223144t}[/tex]
-1/2x<18 pls help figure
Answer:
-36
Step-by-step explanation:
-1/2x<18
multiply each term by LCM=2
-1/2x×2<18×2
the 2on the left hand side will cancel each other leaving
-x <36
divide both sides by -1
-x/-1>36/-1
(note the equality sign changes because following the laws when you divide by a negative number the sign will change
X>-36
Answer:
Step-by-step explanation:
x>-36 is the anwser brainlist whould be aprecited and verifed
What’s the answer? Will give brainliest if correct
Explain reasoning
The statement that is not true is: C. The translation of a line is a pair of parallel lines.
What is transformation?In geometry, a transformation is a procedure that modifies a figure's position, size, or shape. Translation, rotation, reflection, and dilation are the four main categories of transformations.
Every point in a figure is translated by the same amount and in the same direction. A rotation revolves a figure around the centre of rotation, a fixed point. A figure is reversed over a line known as the line of reflection in a reflection.
In relation to a fixed point known as the centre of dilation, a dilation expands or contracts a figure by a specific scale factor.
The statement that is not true is: C. The translation of a line is a pair of parallel lines as translation is a transformation that moves every point of a figure the same distance in the same direction.
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A line passes through the points (8,8) and (5,2). What is its equation in slope-intercept form?
Step-by-step explanation:
m=y1-y2/x1-x2
m=2-8/5-8
m=-6/-3
m=2
y=m(x-x1)+y1
y=m(x-8)+8
y=2x-16+8
y=2x-22
Answer: Y=mx+c
Step-by-step explanation:
The Slope-Intercept Form can be written in the form: y = mx + c Where “m” is the slope of the line “c” is the y-intercept of the equation of the line
