The values of ||-10v|| is 51.96 units
Complex numbers are square roots of negative numbers. They are expressions that consist of both the real and imaginary axis.The general form of a complex number is expressed as z = x + iy
Given the complex number v = 6i + 3j,
10v is expressed as 10(6i + 3j)
10(6i + 3j) = 60i + 30j
Take the modulus of the complex number:
[tex]|10v|=\sqrt{60^2+30^2}\\|10v|= \sqrt{1800+900}\\|10v|= \sqrt{2700} \\|10v|=51.96units[/tex]
Hence the values of ||-10v|| is 51.96 units
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Choose the number that makes the statement true: -5>?
a. 9
b. -9
C. -3
d. 3
Answer: This is B.) -9
Step-by-step explanation:
Step-by-step explanation:
All of those numbers are greater than -5 except for B.
4.
The expression V-18 can be rewritten as ✓-1. 9. 2. What is a simplified version of the
expression?
А 3iv2
8 312
C -3iv2
D-3V2
Four tour buses depart the terminal on the same day. The itinerary of the first bus takes 6 days, for the second bus it takes 8 days, for the third bus it takes 10 days, and the fourth bus takes 15 days. Assuming that another tour begins the same day that the bus returns to the terminal, how many days will it take until all four buses return to the terminal on the same day?
Using the least common factor, it is found that it will take 120 days until all four buses return to the terminal on the same day.
Considering their itineraries, the number of days it will take until all four buses return to the terminal on the same day is the lcm of 6, 8, 10 and 15.To find their least common factor, we factor each number by prime numbers, hence:
6 - 8 - 10 - 15|2
3 - 4 - 5 - 15|2
3 - 2 - 5 - 15|2
3 - 1 - 5 - 15|3
1 - 1 - 5 - 5|5
1 - 1 - 1 - 1
Hence, lcm(6, 8, 10, 15) = 2³ x 3 x 5 = 8 x 15 = 120.
It will take 120 days until all four buses return to the terminal on the same day.
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X=
Y=
Find the values of X and Y
We can clearly see that the triangle is an isosceles triangle. This also means that y must equal to 180 - 115. Let's solve.
=> x + y + 180 - 115 = 180=> x + y + 65 = 180Since 180 - 115 equals 65, this means that y = 65.
=> x + 65 + 65 = 180=> x + 130 = 180=> x = 180 - 130=> x = 50Conclusion:Therefore, our answers are:
x = 50°y = 65°Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
What is the slope of the line?
Answer:
-3/4
Step-by-step explanation:
A family of 6 used 5400l of water in 7 days. Each member of the family used the same amount of water each day. How many litres of water did each person use in a day?
Answer:
Hello! The answer for this is 900 liters a day
Step-by-step explanation:
5) Using the formula A=652
find the surface area of a
cube with sides measuring 8
inches.
Answer:
81.5
Step-by-step explanation:Cube has all sides of equal dimensions and like that it has 6 faces.
So total surface area of cube is equal to the combined area of all the six faces.
Now each face has equal dimensions so same area
Therefore,
area of a single face =side²
Therefore, area of entire cube = 6 times the area of a single face
= 6 * side²
.
A graph, a table and equation are shown below. Please help!
Answer:
A) slope is 1
B) Slope is 3
C) slope is 0.5
Step-by-step explanation:
Using Rise over run method and mx+b
What is the greatest common factor shared by 40 and 20?
Answer here
SUBMIT
Answer:
20
Step-by-step explanation:
factors of 20 = 1 2 4 5 10 20
factors of 40 = 1 2 4 5 8 20 10
therefore 20 is the greatest common
I need help with math
51+60= 111 Answers fast rights
Solve two eighths times four fifths
Answer:
8/40 or 1/5
Step-by-step explanation:
2x4=8
8x5=40
That gives us the answer of 8/40 but if you need simplifying just divide 8/40 by 8/8 and you will get the final answer of 1/5
Which equation has the same solution as w / 3.9 = 3? A. w+0.6=1.9 B. w-0.6 = 11.1 C. w+1.03=2.93 D. w-1.03=8.24
The equation has the same solution as w / 3.9 = 3 is w+0.6=1.9
Given:
w / 3.9 = 3
cross multiply
w × 3 = 3.9
3w = 3.9
divide both sides by 3
w = 3.9 / 3
w = 1.3
Check all that applies
A. w+0.6=1.9
w = 1.9 - 0.6
w = 1.3
B. w-0.6 = 11.1
w = 11.1 + 0.6
w = 11.7
C. w+1.03=2.93
w = 2.93 - 1.03
w = 1.9
D. w-1.03=8.24
w = 8.24 + 1.03
w = 9.27
Therefore, the equation has the same solution as w / 3.9 = 3 is w+0.6=1.9
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Please help!!!! Will give brainliest!!!!
Answer:
it is c
Step-by-step explanation:
MAX POINTS!!! Where did I go wrong? Please explain where I went wrong and redo it.
Answer:
Ms. I am sure that you are already correct
What is the length of CB in ABC
There needs to be values to answer the question.
find the equation of a circle concentric with the circle x^2+y^2-2x-10y+1=0 passing through the point (2,-3)
Answer:
Step-by-step explanation:
x²+y²-2x-10y+1=0
compare with x²+y²+2gx+2fy+c=0
center is (-g,-f)
radius=√(g²+f²-c)
2g=-2
g=-1
2f=-10
f=-5
radius=(1,5)
c=1
let eq. of circle be x²+y²-2x-10y+c=0
∵ it passes through (2,-3)
2²+(-3)²-2(2)-10(-3)+c=0
4+9-4+30+c=0
c=-39
eq. of circle is is x²+y²-2x-10y-39=0
Find m
∠
U
W
V
∠UWV.
3. A store is having a sale to celebrate President's Day. Every item in the store is advertised as one-fifth (1/5)off
the original price. If an item is marked with the original price of $175, what is the sale price? Show your
work.
Step-by-step explanation:
1/5 of 175
=1/5×$175
=$35
sale price = original price - discount price
= $175 -$35
= $140
Anita earns 40 points every time she shops at Brookshire's. She needs a total of 1,500 points to receive a free set of dishes. So far she has earned 300 points. How many more times will Anita need to shop at the grocery store to earn the points she needs to earn the dishes?
a. 1800
b. 30
c. 1200
d. 45
We know that:
1500 - 300 = required points to receive a free set of dishes1 day = 40 points.Now, let's simplify.
=> 1500 - 300 = required points to receive a free set of dishes=> 1200 = required points to receive a free set of dishes=> 1 time = 40 points=> 1 time × 30 = 40 × 30 [30 x 40 = 1200]=> 30 times = 1200 pointsConclusion:Therefore, Anita will need to visit Brookshire 30 more times to receive a free set of dishes.
Hoped this helped
[tex]BrainiacUser1357[/tex]
10. Find three consecutive even integers such that the product of the first and the second is 92 more
than twice the third integer.
Answer:
10, 12, 14 or -10, -8, -6
Step-by-step explanation:
We can let x represent the middle integer. Then the smaller one is x-2 and the larger one is x+2. The given relation is ...
(x-2)(x) = 92 +2(x+2)
x^2 -2x = 92 +2x +4 . . . eliminate parentheses
x^2 -4x = 96 . . . . . . . . . subtract 2x
x^2 -4x +4 = 100 . . . . . . add 4 to complete the square
(x -2) = ±√100 = ±10 . . . take the square root
x = 2 ± 10 = -8 or +12 . . . . add 2
The three integers might be ...
-10, -8, -6 or 10, 12, 14
Alex can make 3 pies in 4 hours. At this rate, how long will it take him to make 15 pies?
Answer
To make 15 pies, it will take Alex 20 hours
Step-by-step explanation:
3 x 5 = 15 pies
4 x 5 = 20 hours
-5x + 7y = -3
-3x - y = 19
Answer:
x=-5, y=-4
Step-by-step explanation:
to solve this system of equations, first multiply the second equation by 7 to get -21x-7y=133. this allows for the y terms in both equations to cancel once you add the two equations together.
adding these together, the y term cancels and you are left with -26x=130. so dividing both sides by -26 will get x=-5. then plug this x value back into either original equation (i chose -3x-y=19) so solve for y.
-3(-5)-y=19 so -y=4 so y=4
so the answer to the system of equations is x=-5 and y=-4
Find the slope of the line y=−5x−4
Answer:
-5
Step-by-step explanation:
I hope this helps!
Answer:
-5
Step-by-step explanation:
The slope of the line in this format is the coefficient of x, or the number in front of x.
Express the following exponential functions in logarithmic form.
1. 10^8 = 100, 000, 000
2. 10^-4 = 0.0001
Answer:
see explanation
Step-by-step explanation:
Using the rule of logarithms
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
(1)
[tex]10^{8}[/tex] = 100,000,000 ( with b = 10 and n = 8 )
[tex]log_{10}[/tex] (100,000,000) = 8
(2)
[tex]10^{-4}[/tex] = 0.0001 ( with b = 10 and n = - 4 )
[tex]log_{10}[/tex] (0.0001) = - 4
On a number line, where would
7/10 be located? Choose all answers that make
a true statement.
7/10 is to the left of 8/10 and 7/10 is to the right of 3/10. The correct options are
B. To the left of 8/10
C. To the right of 3/10
Number lineFrom the question, we are to determine where 7/10 would be located
7/10 is the same as 0.7
0.7 < 8/10 (0.8)
and
0.7 > 3/10 (0.3)
Hence, 7/10 is to the left of 8/10 and 7/10 is to the right of 3/10. The correct options are
B. To the left of 8/10
C. To the right of 3/10
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Interest: Tutorial
Question
Calculate the interest earned on each simple-interest account given the original principal, annual interest rate, and the length
of time the account was held. Match each amount to the corresponding account description.
Drag each tile to the correct box. Not all tiles will be used.
Tiles
$41.85
$55.80
$36.24
$45.45
$48.00
$46.35
Pairs
$500 at 3.2% for 3 years
$450 at 3.1% for 4 years
$515 at 3% for 3 years
Answer:
$48.00$55.80$46.35Step-by-step explanation:
In each case, the answer is the product of the three given numbers.
i = Prt
a) $500×0.032×3 = $48.00
b) $450×0.031×4 = $55.80
c) $515×0.03×3 = $46.35
Find the exponential function f(x)=ab^x that satisfies the conditions f(0)=-4 and f(-2)=-64.
f(x)=
[tex]f(x) = ab^x~\hfill \begin{array}{llll}\textit{we know that}~f(0)=-4\begin{cases}x=0\\f(x)=-4\end{cases}\\\\-4=ab^0\implies -4=a(1)\implies -4=a\end{array}\\\\\\\stackrel{therefore}{f(x)=-4b^x}~\hfill \textit{we also know that}~f(-2)=-64\begin{cases}x=-2\\f(x)=-64\end{cases}[/tex]
[tex]-64=-4b^{-2}\implies \cfrac{-64}{-4}=b^{-2}\implies 16=b^{-2}\implies 16=\cfrac{1}{b^2} \\\\\\ b^2=\cfrac{1}{16}\implies b=\sqrt{\cfrac{1}{16}}\implies b = \cfrac{\sqrt{1}}{\sqrt{16}}\implies b = \cfrac{1}{4} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill f(x)=-4\left( \frac{1}{4} \right)^x~\hfill[/tex]
Solve the equation algebraically show work to support the answer
2/3x + 4 = 2
Answer:
2/3x + 4 = 2
or,3x+2+4=2
or,3x+6=2
or,3x=2-6
or,3x=-4
or,x=-4/3
x=-1.33
The following system of equations will be used to answer all remaining questions.
(8 - 12)
x + 2y = 11
2x + 3y = 18
=
Write the system as a matrix equation then identify the coefficient matrix.
The given equation above written in the form AX = b will be;
[tex]\left[\begin{array}{ccc}1&2\\2&3\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] =\left[\begin{array}{ccc}11\\18\\\end{array}\right][/tex]
Given the system of equation;
x + 2y = 11 2x + 3y = 18This equation can be represented in matrix form as [tex]AX = b[/tex]
where:
A is the coefficient of the matrixX is the variablesb is a column matrixThe given equation above written in the form AX = b will be;
[tex]\left[\begin{array}{ccc}1&2\\2&3\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] =\left[\begin{array}{ccc}11\\18\\\end{array}\right][/tex]
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Please help me with this question. I will mark you brainliest.
Answer:
Option D : $153
This is how I got that:
9:30 AM to 1:15 PM = 3 hours and 45 minutes
The first hour charges $15 and for the remaining 2 hours and 45 minutes
Mr. Anand is charged 36$. Remember it says that each additional hour or part thereof, so the 2 hours and 45 minutes is considered 3 hours.
So our total for one paddle boat is $51
But Mr. Anand hired three boats so we simply times 51 by 3 and get our solution to the problem:
Mr. Anand must pay $153 or Option D
~That's All Folks~
-Siascon