Answer:
hi,
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}a&=&3*\vec{i}-4\vec{j}\\b&=&2*\vec{i}-5\vec{j}\\c&=&\lambda*\vec{i}+\mu*\vec{j}\\\end{array}\right.\\\\\\\lambda*c=2a+3b\\=2*(3*\vec{i}-4\vec{j})+3*(2*\vec{i}-5\vec{j})\\=12*\vec{i}-23\vec{j}\\=\lambda*(\lambda*\vec{i}+\mu*\vec{j})\\\\\\\left\{\begin{array}{ccc}\lambda^2&=&12\\\lambda*\mu&=&-23\end{array}\right.\\\\\\\left\{\begin{array}{ccc}\lambda&=&2\sqrt{3}\\\mu&=&\dfrac{-23*\sqrt{3} }{6} \\\end{array}\right.\\[/tex]
Which set of numbers are imaginary numbers?
Answer:
Step-by-step explanation:
Imaginary. Imaginary numbers are numbers whose squares are negative. They are the square root of minus one, i = √−1, and all real number multiples of i, such as 2i and i√2.
The required set of imaginary numbers are, √-1, √-4, √-5. Option A is correct.
To determine from the options the set of imaginary numbers.
A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.
Here,
imaginary number are the number such square root of negative numbers,
So, the set of imaginary numbers is √-1, √-4, √-5.
While all other set are given are not set of imaginary numbers.
Thus, the required set of imaginary numbers are, √-1, √-4, √-5. Option A is correct.
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Find the area of the following quadrilateral.
Answer: 480
Step-by-step explanation:
The quadrilateral ABCD is a trapezium
The formula for area of trapezium is
Area of trapezium = 1/2 × (parallel side 1 + parallel side 2) × h
So we can place the given values into the formula.
We get
Area = 1/2 × (9+15) × 40
Area = 1/2 × 24 × 40
By multiplying all of them we get
Area = 480cm
For what value of w is 4w = 2w - 8 ?
Answer:
w= -4
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Answer:
w is -4
Step-by-step explanation:
[tex]4w = 2w - 8[/tex]
make w the subject:
[tex]4w - 2w = - 8 \\ 2w = - 8[/tex]
divide all sides by 2:
[tex] \frac{2w}{2} = \frac{ - 8}{2} \\ \\ w = - 4[/tex]
Evaluate the expression
Answer:
361
Step-by-step explanation:
[tex]3 \times {11}^{2} - 2 = 361[/tex]
Answer:
361
Step-by-step explanation:
3(7+4)^2-14÷7
PEMDAS says parentheses first
3(11)^2-14÷7
Then exponents
3(121)-14÷7
Then multiply from left to right
363 -14÷7
363 -2
Subtract
361
For her new MP3 player, Alicia wants a case that is 3 and 2/5 in. long. The online store shows case sizes in decimal measurements. What length case should she order?
A. 3.2 in.
B. 3.25 in.
C. 3.4 in.
D. 3.45 in.
Answer:
C.
Step-by-step explanation:
.
Answer:
c) 3.4 in
Step-by-step explanation:
If grapes are 92% water and raisins are 20% water by weight, then how much did a quantity of raisins, which currently weighs 10 pounds, weigh when all the raisins were grapes
10 lbs of raisins contains 20% water by weight, so they contain
0.20 × (10 lbs) = 2 lbs
of water. This means the non-water portion of the raisins weighs 8 lbs. This weight stays the same throughout the drying process.
As grapes, they had a total weight of
8 lbs + w
where w is the water weight, and w happens to be 92% of this total weight. So
w = 0.92 × (8 + w)
Solve for w :
w = 7.36 + 0.92w
0.08w = 7.36
w = 92
Then the total weight of the grapes before they dried out is 100 lbs.
4 - 2(x-4)/ 3= 3(2x+5)/2
pls answer fast
Answer:
- (5/22)
Step-by-step explanation:
(12-2x+8)/3 = (6x + 15)/2
(20 - 2x)/3 = ( 6x + 15)/2
Now cross multiplication
40 - 4x = 18x + 45
-18x - 4x = 45- 40
- 22x = 5
x = - ( 5/22)
PLEASE HELP ME WITH THIS GEOMETRY ASSIGNMENT!! WILL GIVE BRAINLIEST ANSWER!!!!!
Answer:
im pretty sure your answer is correct :)
Step-by-step explanation:
Answer:
line [tex]l[/tex]
The length of JM is 9.
Step-by-step explanation:
Since JM ≅ MK then we can form the following:
[tex]JM=MK\\JM=3x+15\\MK=8x+25\\\\3x+15=8x+25\\15=5x+25\\-10=5x\\-2=x\\x=-2\\\\JM=3x+15\\JM=3(-2)+15\\JM=-6+15\\JM=9[/tex]
the sum of two numbers is 17 and their differance is 3
Answer:
10 and 7 are the numbers
Step-by-step explanation:
Let the number be x and y, ATQ, x+y=17 and x-y=3, solving it we will get x=10 and y=7
The sum of two numbers is 17 and their difference is 3.
Let's define the two numbers as x and y.
Sum of two numbers is 17
x + y = 17
Their difference is 3
x - y = 3
-----------------------------------------
Solve for x
x + y = 17
x = 17 - y
now that we have x, substitued x into x - y = 3
x - y = 3
17 - y - y = 3
17 - 2y = 3
-2y = -14
y = 7
we have y, 7, now let's substitue that into one of the equations to find x
x - y = 3
x - 7 = 3
x -7 + 7 = 3 +7
x = 10
the numbers are 10 and 7
HELP!! WILL MARK AS BRAINLIEST!!!
On an airplane, the passengers may have chicken, vegetable or tomato soup
Half of the passengers choose chicken soup
A third of the passengers choose tomato soup.
(a) What fraction of the passengers choose vegetable soup?
There are 240 passengers on the airplane.
(b) How many passengers choose vegetable soup?
Answer:
1/6 and 40
Step-by-step explanation:
for 1/6 you can get the answer by getting 1/2 chicken = 3/6 then 1/3 tomato soup = 2/6 and you have 1/6 left which will be the answer.
For the number of people, 1/6 is equal to 40 because 240 divided by 6 equals 40
please answer this question for me. please help.
by selling a cycle for rs 2250 ,the man loses rs 50 ,at what prize he sell to make a profit of rs 80?
Answer:
SELLING PRICE OF CYCLE = 2250RS
LOSS MAN SUFFERED = 50RS
Step-by-step explanation:
COST PRICE = SP + LOSS
CP = 2250 + 50
CP = 2300 RS
FORMULA OF PROFIT = SP - CP
TO MAKE PROFIT OF 80 RS
80 = SP - 2300
SP = 2380 RS
HE SHOULD SELL THE CYCLE AT 2380 TO MAKE PROFIT OF 80 Rs
Thank you
PLEASE MARK AS BRAINLIEST
Answer:
rs 2380
Step-by-step explanation:
→ Add rs 50 to the selling price to not make a profit or loss
2250 + 50 = 2300
→ Add rs 80 to the answer above
80 + 2300 = 2380
Reason abstractly. Can the product of a
decimal number less than I ever be greater than the whole
number? Give examples to support your answer.
find the product 4.2(6 + 0.43).
HELP PLEASE
PLS HELP WILL MAKE FIRST RIGHT ANSWER BRAINLIEST
Answer:
OPTION A:0.85M+2.50.
Step-by-step explanation:
SEE IMAGE FOR SOLUTION
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Solve this equation for p:
P+1 / 2 = 3p+7/5
Answer:
p = -10
Step-by-step explanation:
[tex]\frac{p+1}{2} = \frac{3p+7}{5}[/tex] cross multiply fractions
6p + 14 = 5p + 5
6p - 5p = 5 - 15 subtract like terms
p = - 10
can someone please help me with this?
I think the given figure will help you....
Your college professor tells you he will give a 30%-30%-40% split on grades between homework, quizzes, and test. However whichever category you have the highest average in will be the 40% category.
What will your final grade be if your homework average is 60, you quiz average is 70, and your test average is 95?
Answer:
Your final grade will be 77%
Step-by-step explanation:
40% will be from your test average which is 95
30% will be from your homework average which is 60
30% will be from your quiz average which is 70
Calculating based on these weights:
(40×95+30×60+30×70) / (40+30+30) = 7700 / 100 = 77.00%
combine like terms and simplify. 7(3y-5)-2(10+4y)
Answer: 13y - 55
Step-by-step explanation:
Given
7 (3y - 5) - 2 (10 + 4y)
Expand parentheses and apply the distributive property
=7 · 3y - 7 · 5 - 2 · 10 - 2 · 4y
=21 y - 35 - 20 - 8y
Move like terms together
=21y - 8y - 35 - 20
Combine like terms
=13y - 55
Hope this helps!! :)
Please let me know if you have any questions
midpoint (10,5), endpoint (4, - 1)
Answer:
M=(7,2)
Step-by-step explanation:
M=(10+4/2,5+-1/2)
M=(7,2)
The perimeter of a triangle is 16x−6. If two sides measure 3x+2 and 4x−9, then how long is the third side?
Perimeter of a triangle is the sum of measures of its all three sides, let the other be y,
we know,
[tex] \hookrightarrow \: y + 3x + 2 + 4x - 9 = 16x - 6[/tex]
[tex] \hookrightarrow \: y + 7x - 7 = 16x - 6[/tex]
[tex] \hookrightarrow \: y = 16x - 6 - 7x + 7[/tex]
[tex] \hookrightarrow \: y = 6x + 1[/tex]
hence, measure of the third side is 6x + 1
Pamella late for school 10% of time. Richard late for 15% of the time.
a) What percentage are they both late?
b) What is the probability only one of them is late?
Answer:
a) 25%
10%+15% = 25%
b) doesn't have any idea
6 + 4w = 2w − 6
Solve for W
Answer:
W=-6
Step-by-step explanation:
6+4w=2w-6
Collect Terms
4w-2w=-6-6
2w=-12
now divide both sides by 2
2w/2=-12/2
w=-6
PLEASE HELP ASAP -- WITH THE WORKK
50 points
Part-A:-
(f×g)=[tex]\\ \sf\longmapsto x^2+3x-70(4x-12)[/tex]
[tex]\\ \sf\longmapsto 4x^2+12x-280-12x^2+36x+840[/tex]
[tex]\\ \sf\longmapsto -8x^2+48x+560[/tex]
Now
[tex]\\ \sf\longmapsto (f.g)(3)[/tex]
[tex]\\ \sf\longmapsto -8(3)^2+48(3)+560[/tex]
[tex]\\ \sf\longmapsto -72+144+560[/tex]
[tex]\\ \sf\longmapsto 72+560[/tex]
[tex]\\ \sf\longmapsto 632[/tex]
Part-B:-
[tex]\\ \sf\longmapsto f(3)[/tex]
[tex]\\ \sf\longmapsto (3)^2+3(3)-70[/tex]
[tex]\\ \sf\longmapsto 9+9-70[/tex]
[tex]\\ \sf\longmapsto 18-70[/tex]
[tex]\\ \sf\longmapsto -52[/tex]
Now
[tex]\\ \sf\longmapsto g(f(3))[/tex]
[tex]\\ \sf\longmapsto g(-52)[/tex]
[tex]\\ \sf\longmapsto 4(-52-3)[/tex]
[tex]\\ \sf\longmapsto 4(-55)[/tex]
[tex]\\ \sf\longmapsto -220[/tex]
Part:-C
[tex]\\ \sf\longmapsto g(-2)[/tex]
[tex]\\ \sf\longmapsto 4(-2-3)[/tex]
[tex]\\ \sf\longmapsto 4(-5)[/tex]
[tex]\\ \sf\longmapsto -20[/tex]
Now
[tex]\\ \sf\longmapsto f(g(-2))[/tex]
[tex]\\ \sf\longmapsto f(-20)[/tex]
[tex]\\ \sf\longmapsto (-20)^2+3(-20)-70[/tex]
[tex]\\ \sf\longmapsto 400-60-70[/tex]
[tex]\\ \sf\longmapsto 400-130[/tex]
[tex]\\ \sf\longmapsto 270[/tex]
Part-D:-
g×f=f×g[tex]\\ \sf\longmapsto (g.f)(-2)[/tex]
[tex]\\ \sf\longmapsto -8(-2)^2+48(-2)+560[/tex]
[tex]\\ \sf\longmapsto 32-96+560[/tex]
[tex]\\ \sf\longmapsto -64+560[/tex]
[tex]\\ \sf\longmapsto 496[/tex]
help me ASAP pleaseee:((
Answer:
A
Step-by-step explanation:
x=13
so, A.T.Q
13-5+7=15
13+2=15
15=15
Consumer Math
Which person uses the best cost saving strategy when deciding how to spend their money? A. Octavia bought the name-brand dish soap to be sure it was good quality. B. Jake paid the seller's full price for his used car to avoid someone else buying it. C. Tyrone waited for a sale so he could get a lower price on his new skateboard. D. Camilla bought her new computer immediately in case prices increased.
Answer:
I think c if not sorry
Step-by-step explanation:
C is the only one that makes sense
person uses the best cost saving strategy when deciding how to spend their money is Tyrone waited for a sale so he could get a lower price on his new skateboard.
The correct option is (C).
What is strategy?
Strategy is an action that managers take to attain one or more of the organization's goals. Strategy can also be defined as “A general direction set for the company and its various components to achieve a desired state in the future. Strategy results from the detailed strategic planning process”.
Considering the cost saving ,
Tyrone spends it in a better way cause he waits for the sale so that he could get the lower price for his new skateboard.
Other just look on the quality, first buyer, took the item in increased price.
Hence, Tyrone waited for a sale so he could get a lower price on his new skateboard.
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Mike weights 200 pounds and plans to lose 1.5 pounds a week. Jeff weights 180 pounds and plans to lose 0.5 pounds a week. When mike and Jeff weigh the same?
Answer:
20 weeks
Step-by-step explanation:
200-1.5w=180-0.5w
You can double-check by substituting 20 for w (weeks), if it is equal, then the equation is correct.
what's the Answer ?
[tex] \sqrt{ \dfrac{225}{9} } [/tex]
Answer:
Solution given;
[tex] \sqrt{ \dfrac{225}{9} } [/tex]
[tex] \sqrt{ \dfrac{15²}{3²} } [/tex]
[tex] \sqrt{ (\dfrac{15}{3} )²} [/tex]
[tex]\dfrac{15}{3}[/tex]
=5
Answer:
First, simplify the content under root:
[tex]\sqrt{\frac{225}{9}} =\\\\\sqrt{25}}} \\[/tex]Now, use the following identity:
[tex]\sqrt{a^2} = |a|[/tex] = ± aLast, we get:
√25 = √5² = ± 5what is 3/4 x 3 + 2/4 + 1 = ????
as a whole number
Answer:
3/4×3 = 2.25
2/4×1= 0.5
Step-by-step explanation:
how it helps u
Suppose y varies inversely with x, and y = -1 when x = 6. What inverse variation equation relates x and y?
Answer:
y = -6/xStep-by-step explanation:
Inverse variation equation:
y = k/x, where k - coefficientWe have:
x = 6, y = -1Work out the value of k by substituting the values of x and y:
-1 = k / 6k = -1*6k = -6The equation is:
y = -6/xAnswer:
y = -6/x
Step-by-step explanation:
y varies inversely as x
So, y = k/x, where k is the constant of proportionality.
If y = -1 when x = 6,
Then, -1 = k/6 ===> k = -6
Therefore, y = -6/x
find the coordinates of the points of intersection of the line 2x+3y+2=0 with the curve 2xy=-1
no spam plz fast
The point of intersection of the line 2x+3y+2=0 with the curve 2xy = -1 will be (1/2, - 1) and (1/6, 1/3).
What is substitution method?To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The equation of lines are,
⇒ 2x + 3y + 2 = 0
⇒ 2xy = - 1
Now,
Since, The equation of lines are,
⇒ 2x + 3y + 2 = 0 ..(i)
⇒ 2xy = - 1 ..(ii)
From (ii);
⇒ 2xy = - 1
⇒ x = - 1/2y
Put above value in (i), we get;
⇒ 2 × - 1/2y + 3y + 2 = 0
⇒ - 1/y + 3y + 2 = 0
⇒ - 1 + 3y² + 2y = 0
⇒ 3y² + 2y - 1 = 0
⇒ 3y² + 3y - y - 1 = 0
⇒ 3y (y + 1) - 1 (y + 1) = 0
⇒ (3y - 1) (y + 1) = 0
⇒ y = 1/3
And, y = - 1
So, The value of x is,
⇒ x = - 1/2y
⇒ x = - 1/2 × - 1
⇒ x = 1/2
And, x = - 1/2 × 1/3
⇒ x = 1/6
Thus, The intersection point on the lines = (1/2, - 1) and (1/6, 1/3)
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