easy vector problem! show work/explain please :)
Answer:
Step-by-step explanation:
a = 2i + 3j + zk
b = xi + 1j + 4k
Given a X b = 6i -14j +5k
a X b = | i j k|
|2 3 z|
|x 1 4|
a X b = i(12-z) - j(8 - xz) + k(2-3x) = 6i -14j +5k
equate the coefficients of i , j and k
12- z = 6; implies z = 6
8 - xz = -14 implies 8 - 6x = -14
2-3x = 5 implies 2 - 3x = 5 implies x = -1
convert 8.132132132... to a rational expression in the form of a fraction
Let x = 8.132132132... .
Then 1000x = 8132.132132132... .
Subtracting x from 1000x eliminates the fractional part, leaving you
999x = 8132 - 8 = 8124
Then
x = 8124/999 = 2708/333
what is X decreased by 61%
h(x)=-x^2+10x-16 What is the height of the ball at the time it is thrown
Answer:
0m
Step-by-step explanation:
Before the ball is thrown, it is at the ground level. At the ground level, the height is zero. Substitute h = 0 into the equation;
h(x)=-x^2+10x-16
0=-x^2+10x-16
x^2-10x+16 = 0
Factorize
x^2-8x-2x+16 = 0
x(x-8) - 2 (x-8) = 0
x-2 = 0 and x - 8 = 0
x = 2 and 8
At x = 2
h(2) = -2^2 + 10(2) - 16
h(2) = -4 + 4
h(2) = 0
Hence the height of the ball at the time it is thrown is 0m
3 1/4 times 7/8 simplified!!!
Answer:
2 27/32
Step-by-step explanation:
Translate the following word pharse into algebraic expression: Nine times the difference of 5 and Y
Answer:5-y x 9
Step-by-step explanation: 5-y times 9
Answer:
9 × 5-y maybe bc times means multiply and difference means subtract but sorry if u get it wrong
Select all the numbers that show 1/2% as an equivalent fraction, decimal, or percent.
what times what equals 3/8
Answer:
1/8 * 3
Step-by-step explanation:
1/8*3 means the numerator gets multiplied by 3 so we get (1*3)/8 which is 3/8
The equivalent value of the fraction is A = 3/8 = ( 3/4 ) ( 1/2 )
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the first fraction be p
Let the second fraction be q
Now , A = pq
when the value of p = 3/4
And , when the value of q = 1/2
On simplifying the equation , we get
3/8 = ( 3/4 ) ( 1/2 )
So , the left hand side of the equation is equated to the right hand side by the value of ( 3/4 ) ( 1/2 )
A = ( 3/4 ) ( 1/2 )
A = 3/8
Therefore , the value of A = 3/8 = ( 3/4 ) ( 1/2 )
Hence , the fraction is A = 3/8 = ( 3/4 ) ( 1/2 )
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PLSSS HELP! PLEASEEEEEEEEEEEEEEEEEEEEEE!
Answer:
81?
Step-by-step explanation
i might be wrong, if am delete this haha
7 girls are dancing in Circular form. In how
many ways can they stand in circle?
Answer:
I'm sorry if i'm wrong but i think Its 6.
Step-by-step explanation:
Answer:
42 I believe
Step-by-step explanation:
They way I think about it is if you think about one girl there are 6 other girls around her and so on. So 6 times 7 is 42
But it could be a trick question and it only be 7, because a circle doesn't have a definite start place like a line
find the product m2n × mn2 × (-m3n3)
Answer:
-m^6n^6
Step-by-step explanation:
I think m2n means m^2n .
Mr. Pham wrote the equation below on the board.
18 - 7x=-20.5
What is the value of x?
Answer:
X = 5.5Step-by-step explanation:
18 - 7x = -20.5
18 + 20.5 = 7X
38.5 = 7X
X = 38.5/7
X = 5.5
What is the compound interest on investing $600 for 3 years at 7% per annum?
Answer:
About $735.03
Step-by-step explanation:
The compound interest formula is A=P(1+r/n)^nt
P is the original amount (principal)
r is the rate
n is the number of times compounded (1 for this one since it is annual)
and t is the time compounded
A glass is
1
-
3
full. Then 63cm3 of orange juice is poured in.
The glass is now
5
-
8
full.
What is the total volume of the glass?
Step-by-step explanation:
x=volume of the glass
(1/3)x+63=(5/8)x
63=(5/8)x-(1/3)x
63=(15/24)x-(8/24)x
63=(7/24)x
multiply both sides by 24/7
(24/7)(63)=(24/7)(7/24)x
216=x
216 cm3 is the volume (answer)
1/3 of 216 is 72
72+63=135
135/216=0.625=5/8
Please Help
2/3(9x−15)−4x −5
c) x 3
Answer:
2/3 . 9x-2/3. 15-4x-5
=2 .3x -2 .5-4x-5
=6x-10-4x-5
=2x-5
What is the constant of proportionality between the number of pages read and the number of hours spent reading?
Answer:
45
Step-by-step explanation:
The constant of proportionality is 45
An opera singer teaches singing classes to teens. She teaches 96 teens in all. One-third of her
students are boys. How many boys are in the singing?
Answer:
32
Step-by-step explanation:
1/3x96= 31.999
Step-by-step explanation:
There are 96 students in total.
1/3 of total students = 96 * (1/3) = 32.
Since 1/3 of total students are boys,
there are 32 boys in the singing.
2500 square yards to square meters
Answer:
2090.318 square metres
Question 2 of 10
How many solutions are there to the equation below?
11x + 25 = 7x + 15
What is the Parallel and Perpendicular slope of m= -2? (PLZ SHOW HOW YOU GOT THE ANSWER)
Answer:
parallel=-2, perpendicular=1/2
Step-by-step explanation:
Parallel slopes mean the slopes are the same, and perpendicular slopes are the reciprocals of each other.
Answer:
Parallel slope of -2 is -2.Perpendicular slope of -2 is 1/2.Step-by-step explanation:
A line in a graph parallel/collinear to another line has same slope.
A line perpendicular to the another line has negative and reciprocal slope of the given line.
HERRRRRRRRRRRRRRRREEEEEEEEEEeee pt3
Need help extra points and mark brainlyist
And article says that 15% of a non-profits Donations about 30,000 a year comes from individual donors what is the total amount of down donations to nonprofit receives
Answer:
200,000
Step-by-step explanation:
Step one:
given data
We are given that 15% of a non-profits Donations is about 30,000
Required
The amount in total received in donation
Step two:
Let the total donation be x
so
15/100*x= 30000
solve for x
0.15*x= 30000
divide both sides by 0.15
x= 30000/0.15
x=200,000
Hence the total donation is about 200000
There are 2 equal groups of 8 books on a shelf. One group is all Reading books. The other group has 3 Math books and the rest are Science books. How many Science books are there?
Answer:
its 5
Step-by-step explanation:
because 8 are reading okay so the other 8 are math and sciences ,uf you have 3 math books how many sciences? then its 8-3=5
Simplify the expression by combining like terms.
2x + 4y + 6 + 2y - 5 + 3x 
Brainlest and points need help with this question !
Answer:x=10.25 +y
Step-by-step explanation:
Answer:
i think its 3
Step-by-step explanation:
juliet school collected 480 can food last month witch represented 80 percent of rheir goal. What is the toatal of her goal? PLEASE HELP ME I NEED TO HAVE THIS FINISHED ITS THE LAST DAY IN THE SEMESTER FOR OVERALL GRADES!?!?!?
Answer: 600 canned foods was the total.
Step-by-step explanation: We need to find out what‘s 100% of 480. Since 480 canned foods is 80%, we can divide 480 by 8 which gives us 60. Aka 60 canned foods = 10%. Now, we multiply 60 by 10 which gives us 600. Hope this helps!
I NEED HELP NOW!!!!what is 5+5?!?!?!!
Answer: its 20 bro i got you
Step-by-step explanation:
What is the solution to the system of equations graphed below? (-5,1). (1,-5). (3,-4). (-4,3)
Answer:
(-5,1)
Step-by-step explanation:
Because the red line (graphical representation of one equation) and the blue line (graphical representation of the other equation) intersect at (-5,1), the solution to the systems of equations is (-5,1).
A gymnasium is 96 feet long and 75 feet wide. On a blueprint, the
gymnasium is 5.5 inches long. To the nearest tenth of an inch,
what is the width of the gymnasium on the blueprint?
Scale factor for the dimensions of the gymnasium on the blue print will be represented by the expression,
Scale factor = [tex]\frac{\text{Dimension of the blueprint}}{\text{Dimension of the original}}[/tex]
Length of the gymnasium = [tex]96[/tex] feet
Length of the gymnasium on the blueprint = [tex]5.5[/tex] inches
Therefore, scale factor for the blueprint = [tex]\frac{5.5}{96}[/tex]
= [tex]0.0573[/tex]
If the width of the gymnasium = [tex]75[/tex] feet
For the width on the blueprint,
[tex]0.0573=\frac{\text{Width on the blueprint}}{75}[/tex]
Width on the blueprint = [tex]4.29[/tex]
≈ [tex]4.3[/tex] inches
Therefore, width of the gymnasium on the blueprint will be [tex]4.3[/tex] inches.
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