Answers
9514 1404 393
Answer:
k = -2
Step-by-step explanation:
The determinant can be formed by subtracting up-diagonal products from down-diagonal products:
(x)(x+y)(y) +(y)(x)(x+y) +(x+y)(y)(x) -(x+y)^3 -x^3 -y^3
= 3xy(x+y) -(x^3 +3x^2y +3xy^2 +y^3) -x^3 -y^3
= -2(x^3 +y^3)
The value of k is -2.
Related Questions
Find the surface area of the figure.
Answers
Answer:
152 cm²
Step-by-step explanation:
2x5x3=30
2x6x3=36
5x6=30
2x2.5x6=30
2x6=12
(2+5)/2=3.5x2=7x2=14
30+36+30+30+12+14=152
Simplify (3 + 6i) – (8 - 5i)
Select one:
a, -5 + i
b. 6
C. 16
d. -5 + 11i
Answers
Answer:
−5+11i
Step-by-step explanation:
(3+6i)−(8−5i)
Subtract 8−5i from 3+6i by subtracting the corresponding real and imaginary parts.
3−8+(6−(−5))i
Subtract 8 from 3. Subtract −5 from 6.
−5+11i
Step-by-step explanation:
I hope this helps. The answer is D.
A plane flies 545 kilometers with a bearing of 316° from Naples to Elgin (see figure). The plane then flies 680 kilometers from Elgin to Canton (Canton is due west of Naples). Find the bearing of the flight from Elgin to Canton. (Round to the nearest whole number.)
Answers
Answer:
What topic is this and which grade are u in?
Pam bought 20 pieces of fruit for her class.
o Each piece of fruit was either an apple or an orange.
o She spent $1.25 on each apple.
o She spent $0.95 on each orange.
o Pam spent a total of $22.60.
Write a system of equations that can be used to find the number of apples Pam bought. Make sure to define your variables.
Choose the correct define variables and the correct system of equations
Answers
Answer:
Step-by-step explanation:
Let O=number of oranges and A=number of apples.
O+A=20
O=20-A
1.25A+0.95O=22.60, using O found above makes this become
1.25A+0.95(20-A)=22.60
1.25A+19-0.95A=22.60
0.3A+19=22.60
0.3A=3.6
A=12, since O=20-A
O=20-12
O=8
So she bought 8 oranges and 12 apples. The question really only asks for the number of apples bought.
12 apples were bought.
Answer:
1.25x+0.95y=22.60
x is apples y is oranges
Step-by-step explanation:
20 - 12 = 8
1.25(12) + 0.95(8) = 22.60
1.25 · 12 = $15
0.95 · 8 = $7.60
15.00 + 7.60 = $22.60
i hope that makes sense
Please help me thank u!
Answers
Answer:
Step-by-step explanation: x is our missing length
c^2=a^2+b^2
where c is the hypotenuse
28^2=24^2+x
x^2=28^2-24^2=784-576=208
x=[tex]\sqrt{208}[/tex]=14.4
What value from the set {5, 8, 21, 33} makes x - y = 2^3 true if y = 13?
Answers
2^3 = 8
21 - 13 = 8
Pls help, i will give brainliest:
Consider the graphs which summarize the data on the number of hours per week of television viewing by two groups: 12-17 year-old Girls and 12-17 year-old Boys. Choose all that are correct.
The median for the girls is 16.
The median for the boys is 22.
The interquartile range for the girls is 28
The interquartile range for the boys is 16
The difference between the medians as a multiple of the IQR is 1/4
Answers
Answer:
a,b,e
Step-by-step explanation:
Answer:
B, D, E
OR
The median for the boys is 22
The interquartile range for the boys is 16
The difference between the medians as a multiple of the IQR is 1/4
Step-by-step explanation:
I just did it and got it right
How many ways can 13 students line up for lunch?
Answers
Answer:
There are 6,227,020,800 different ways to order the 13 people.
Hassan sells fruits and vegetables at the marketThe mass of fruit and vegetables are in the ratio.
Fruit: vegetables = 5:7
If Hassan sells 1.33 tones of vegetables
then how many kilograms of fruits did he sell?
Answers
Answer:
950 kilograms
Step-by-step explanation:
Fruit: vegetables = 5:7
Fruit = 5
Vegetable = 7
Total ratio = 5 + 7 = 12
If Hassan sells 1.33 tones of vegetables
1 tonne = 1000 kilograms
1.33 tonnes of vegetables = 1330 Kilograms of vegetables
how many kilograms of fruits did he sell?
Let kilograms of fruits sold = x
Fruit: vegetables = 5:7
Fruit: vegetables = x : 1330
5 : 7 = x : 1330
5/7 = x/1330
Cross product
5 * 1330 = 7 * x
6,650 = 7x
x = 6,650/7
x = 950 kilograms
kilograms of fruits sold = 950 kilograms
assume that the weight of ripe watermelons grown at a particular farm are normally distributed witha mean of 20 pounds and a standard deviation of 1.4 pounds. determine the percent of watermelons that weigh between 18.48 pounds and 22.68 pounds
Answers
Answer:
The answer is "78.25%"
Step-by-step explanation:
Given:
[tex]\mu =20\\\\\sigma=1.4[/tex]
[tex]p(18.48<x<22.63)=p(\frac{18.48-20}{1.7}<\frac{\bar{x}-\mu}{\sigma}<\frac{22.63-20}{1.4})\\\\[/tex]
[tex]=p(\frac{-1.52}{1.7}<Z<\frac{2.63}{1.4})\\\\=p(-0.89<Z<1.87)\\\\[/tex]
[tex]=p(Z<1.87)-p(Z<-0.89)\\\\[/tex]
[tex]=0.969258-0.1867329\\\\=0.7825251\\\\=78.25 \%[/tex]
Evaluate: x + (x2 - xy) - y
if x = 5 and y = 4
Answers
When x = 5 and y = 4, the expression [tex]x + (x^2 - xy) - y[/tex] evaluates to 6.
To evaluate the expression [tex]x + (x^2 - xy) - y[/tex] when x = 5 and y = 4, we substitute the given values into the expression and perform the
calculations:
[tex]x + (x^2 - xy) - y\\x= 5 + (5^2 - 5*4) - 4\\x= 5 + (25 - 20) - 4\\x= 5 + 5 - 4\\x= 10 - 4\\x= 6\\[/tex]
It's crucial to remember that the expression in question is not an equation that represents a graph, nevertheless. It is merely an algebraic expression that, given the values of "x" and "y," evaluates to a single value. We need an equation that connects 'x' and 'y' and specifies the relationship between them if we are to construct a graph.
Therefore, when x = 5 and y = 4, the expression [tex]x + (x^2 - xy) - y[/tex] evaluates to 6.
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Correct Question is:
Evaluate: [tex]x + (x^2 - xy) - y[/tex] if x = 5 and y = 4.
Plzzz help me I am
Timed!
Answers
Answer:
c
Step-by-step explanation:
structure with a square or triangular base and sloping sides that meet in a point at the top
What is the value of t
HELP
Answers
Answer:
t = 8°
Step-by-step explanation:
We know that the sum of all the angles in a triangle is equal to 180°
Let's set up our equation => 18t + 36 = 180
Subtract 36 from both sides
18t = 144
t = 8
Thus, we have our answer
Pls Answer correctly and I’ll give you the brainliest
Answers
Answer:
y= -4
Step-by-step explanation:
Answer:
(y = 4 x + 7) This would be x= 4/y-7
(y = -3x - 21) This would be x=y/3 or simplified as -7
In the diagram EF is the bisector of <DEF = m < D' EF.
The triangle congruence criteria that can be used to prove that DEF and D'EF are congruent is _______.
Answers
hii! i just wanted to say hope you're having a fantastic day and hope that things are going well (: stay strong and stay safe!
The triangle congruence criteria that can be used to prove that DEF and D'EF are congruent is the SAS rule.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
The SAS rule states that "If two sides and the included angle of one triangle are equal to corresponding two sides and included angle of another triangle, then the triangles are congruent"
From ΔDEF and ΔD'EF
DE = D'E
m∠DEF = m∠D'EF
EF = EF
ΔDEF ≈ ΔD'EF
Thus,
The triangle congruence criteria that can be used is the SAS rule.
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Rewrite this expression is a different form 9a - 2(a - 3)
Answers
Distributive Property Distribute Denominator to 9a and -3
You Get 9a/3 -3/3
Nvm did this wrong
juan has three blue shirts, two green shirts, 7 red shirts, and five pairs of pants, and two pairs of khaki pants. How many different outfuts consisting of one shirt and one pair of pants are possoble?
Answers
Answer:
Step-by-step explanation:
7 x 5 is 35. 7 x 2 is 14. 14 + 35 is 49
does anyone know the answer to this? 5x-(4+3x)
Answers
Answer:
2x-4
Step-by-step explanation:
5x-(4+3x)
5x-4-3x
5x-3x-4
2x-4
1. Simplify 3 + 5[5 + (7 - 3) - 32]
Answers
Answer:
48
step by step explanation:3+5(5+(7-3)-32)
8(12-2)-32
96-16-32
80-32
48
A hyperbola centered at the origin has a vertex at (3, 0) and a focus of the hyperbola is located at (9,0). What are
the equations of the directrices?
x = +
Answers
Answer:
Step-by-step explanation:
x²/a² - y²/b² = 1
center (0,0)
vertex (3,0), so a = 3
focus (9,0)
e = 9/a = 3
directrices: x = ±a/e = ±1
The equations of the directrices with a vertex at (3, 0) and a focus of the hyperbola located at (9, 0) is x = ±1.
What is the general equation of hyperbola?The general equation of the hyperbola is in the form of
x²/a² - y²/b² = 1
We have been given center (0,0)
vertex (3,0),
so a = 3
focus (9,0)
So, e = 9/a = 3
The equation of directrices:
x = ±a/e = ±1
Hence, The equations of the directrices with a vertex at (3, 0) and a focus of the hyperbola located at (9, 0) is x = ±1.
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Work out the size of angle A.
11 cm
9 cm
38°
Answers
Answer:
38° because the other two are cm? also you haven't linked a photo so I can't work out angle A
In a class of 80 students,40 study physics,48study mathematics and 44 study chemistry,20 study physics and mathematics,24 study physics and chemistry and 32 study only two of the three subjects.Of every student studies at least one of the three subjects.Find ; 1.The number of students who study all the three subjects.2.The number of students who study only mathematics and chemistry.
Answers
Answer:
80+40+44-20÷24+32 ♡♡♡
Using set operations,
1.The number of students who study all the three subjects = 10
2.The number of students who study only mathematics and chemistry = 8
What are set operations?Set operations are the operations that are applied on two or more sets to develop a relationship between them. There are four main kinds of set operations which are as follows.
Union of setsIntersection of setsComplement of a setRelative ComplementLet mathematics = M, physics = P, chemistry = C.
n(M∪P∪C) = 80
n(M) = 48
n(P) = 40
n(C) = 44
n(M∩P) = 20
n(M∩C) = ?
n(C∩P) = 24
n(M∩P) + n(M∩C) + n(C∩P) - 3n(C∩P∩M) = 32
20 + n(M∩C) + 24 - 3n(C∩P∩M) = 32
n(M∩C) = 3n(C∩P∩M) - 12 - *
We know,
n(M∪P∪C) = n(M) + n(P) + n(C) - n(M∩P) - n(M∩C) - n(C∩P) + n(C∩P∩M)
80 = 48 + 40 + 44 - 20 - n(M∩C) - 24 + n(C∩P∩M)
n(M∩C) = n(C∩P∩M) + 8 - **
Equating * and **,
n(C∩P∩M) + 8 = 3n(C∩P∩M) - 12
2n(C∩P∩M) = 20
n(C∩P∩M) = 10
putting the value of n(C∩P∩M) in *
n(M∩C) = 18
n(M∩C) - n(C∩P∩M) = 8
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look at the picture for the question 10 points will mark brainilest
Answers
Answer:
you want to have an answer to the question do you, i wish i could help but im only here for my answers
Step-by-step explanation:
sorry
Answer:
B
Step-by-step explanation:
accidentally commented
Assume that each child who is born is equally likely to be a boy or a girl.
If a family has two children, what is the probability that both are girls given that (a) the eldest is a girl, (b) at least one is a girl?
Answers
Answer:
b
Step-by-step explanation:
you see is equal it means that on might likely to be a boy
Which equation is correct?
sin hº = Z/X
sin hº = X/Z
cos hº = Z/X
cos hº = X/Z
Answers
Answer:
cos h° = x/z
Step-by-step explanation:
SOH CAH TOA
PLEASE HELP WILL GIVE BRAINLIEST - 60 POINTS
Slope and the properties of perpendicular and parallel lines can be used to confirm that a polygon is a specific type of quadrilateral.
What types of quadrilaterals can you determine by using these properties? List at least two types of quadrilaterals.
Choose one type of quadrilateral from your answer to Question 1. Explain in complete sentences how you can use properties of perpendicular and parallel lines, together with slope, to confirm that a given polygon is the type of quadrilateral you chose. Be sure to clearly state the properties that you need to use.
Answers
Answer:
You can use those properties to confirm parallelogram , rectangle, square, rhombus, trapezoid
To confirm the parallelogram you need to verify the pairs of sides are parallel by confirming same slopes.
To confirm the square you need to verify the sides are perpendicular, also the diagonals are perpendicular. The slopes of perpendicular lines are negative-reciprocal.
To confirm the trapezoid you just need to confirm one pair of sides are parallel, with same slope.
Last year, Ahmad opened an investment account with $5400. At the end of the year, the amount in the account had increased by 7.5%. How much is this
increase in dollars? How much money was in his account at the end of last year?
Answers
Answer:
Step-by-step explanation:
The increase was
5400(0.075)=$405
The money in the account was
5400+405=$5805
Which of these is an exponential parent function?
A. f(x) = x
B. f(x) = x
C. f(x) = 2x
D. f(x) = 1x1
SMIT
Answers
Option B is correct, f(x) = 2ˣ is an exponential parent function.
What is a function?A relation is a function if it has only One y-value for each x-value.
The exponential parent function is of the form:
f(x) = aˣ
where a is a positive constant (the base of the exponential function).
Among the given options, the exponential parent function is,
⇒ f(x) = 2ˣ,
Because it has the form of an exponential function, where the base is 2.
f(x) = x is a linear function, not an exponential function.
f(x) = |x| is an absolute value function, not an exponential function.
f(x) = x² is a quadratic function, not an exponential function.
Hence, f(x) = 2ˣ is an exponential parent function, Option B is correct.
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Bonnie deposits 70.00 into a saving account
the account earns 4.5% simple interest per year
No money is added or removed from the savings account for 3 years
What is the total amount of money in her savings account at the end of the three years
Answers
ANSWER:
The total amount of money at the end of three years is $79.45.
A vertical parabolic sag curve has a grade of -0.4% followed by a grade of 2% intersecting at station 12 150.60 at elevation 124.80 m above sea level. The change of grade of the sag curve is restricted to 0.6%. (a) Compute the length of the curve (b) Compute the elevation of the lowest point of the curve (c) Compute the elevation at Sta. 12 125.60
Answers
Answer:
a) 400 meters
b) 67 meters
c) 124.790 meters
Step-by-step explanation:
Given data :
g1 = - 0.4 %
g2 = +2 %
change of grade of sag curve ( a ) = 0.6 %
Elevation of PVI ( h2 ) = 124.80 m
a) compute the length of the curve using the relation below
a = [tex]\frac{g2-g1}{L}[/tex] . hence ; L = ( g2 - g1 ) / a
L = ( 2 -(-0.4 ) / 0.6
= 2.4 / 0.6 = 4
= 400 meters
b) compute the elevation of the lowest point of the curve
slope of the vertical curve = 0
0 = 2ax l + b
= 2( [tex]\frac{g2-g1}{L}[/tex] ) x + g1
∴ x = [tex]\frac{-g1L}{(g2-g1)}[/tex] = ( 0.4 * 4 ) / ( 2 + 0.4 ) = 1.6 / 2.4 = 0.67 stations
therefore x ( elevation of the lowest point ) = 67 meters
C) compute the elevation at Sta. 12 + 125.60
Given that the rate of change of elevation is the same at all points
= [tex]\frac{h2 - h1 }{PVI -P0}[/tex] = 0.4 -------- ( 1 )
where h2 = 124.80
h1 = ? ( elevation of p0 ) at 12 + 125.60
PVI = 12 + 150.06
p0 = 12 + 125.60
back to the above equation
- h1 = 0.4 ( PVI - P0 ) - h2
= 0.4 ( 12.150 - 12.1256 ) - 124.80
-h1 = -124.790
hence h1 = 124.790 m
