Answer:
capable of working successfully; feasible.
or
Step-by-step explanation:
(of a plant, animal, or cell) capable of surviving or living successfully, especially under particular environmental conditions.
Use the conjugate to divide1 - i / square root of 3 + 4i
Answer:
Step-by-step explanation:
(1 - i) / (sqrt(3 + 4i)
= (1 - i) / [tex]\sqrt{3 + 4i}[/tex]
=> multiply and divide by conjugate of denominator
= [tex](1 - i) / \sqrt{3 + 4i} * \sqrt{3 - 4i} / \sqrt{4 - 3i}[/tex]
= [tex](1 - i)*(\sqrt{3 - 4i} ) / (\sqrt{3 + 4i} *\sqrt{3 - 4i})[/tex]
= [tex](1 - i) * (\sqrt{3 - 4i} ) / \sqrt{(9 - 16i^{2} )[/tex]
= [tex](1 - i) * (\sqrt{3 - 4i} ) / \sqrt{(9 - (-16) )[/tex]
= [tex](1 - i) * \sqrt{3 - 4i} ) / \sqrt{25}[/tex]
= [tex](1 - i) * \sqrt{3 - 4i} / 5[/tex]
= [tex]\sqrt{(1 - i)^{2} } * \sqrt{3 - 4i} / 5[/tex]
= [tex]\sqrt{(1 + -1 -2i)*(3 - 4i)} / 5 \\\sqrt{-2i * (3 - 4i)} / 5\\\sqrt{-6i + 8*-1} /5 \\\sqrt{-6i - 8 } / 5[/tex]
Pls help, will give brainleist
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I'll help you with your problem today. I hope you are having a nice day!
The Function
First of all, to figure out the function and how it will work, with that, we can see that it is a parabola, a parabola is a function which looks like a curve in which the multiplication of the [tex]x[/tex] cation, when more smaller, is more wider.
Parabola's also have two ways they go, them being upwards and downwards which in the quadratic formula are figured out by the a catition.
[tex]ax^2+bx+c=0[/tex]
Solving
So, we know to find for [tex]f(1)[/tex] we have to find what is y when x is 1. To solve for that, we can look at the function's graph and see that when x is one, y is 5.
Solution
To solve for this, we can usually just look at the graph to see where the point where we need to find is, but, we also might have to graph the equation if the graph is not already given.
So our answer would be [tex]y=5[/tex] and/or [tex](1,5)[/tex]
Cheers!
Someone help me please. I don't just want the answer, I need an explanation on how it's done too.
Answer:
Below.
Step-by-step explanation:
f) (a + b)^3 - 4(a + b)^2
The (a+ b)^2 can be taken out to give:
= (a + b)^2(a + b - 4)
= (a + b)(a + b)(a + b - 4).
g) 3x(x - y) - 6(-x + y)
= 3x( x - y) + 6(x - y)
= (3x + 6)(x - y)
= 3(x + 2)(x - y).
h) (6a - 5b)(c - d) + (3a + 4b)(d - c)
= (6a - 5b)(c - d) + (-3a - 4b)(c - d)
= -(c - d)(6a - 5b)(3a + 4b).
i) -3d(-9a - 2b) + 2c (9a + 2b)
= 3d(9a + 2b) + 2c (9a + 2b)
= 3d(9a + 2b) + 2c (9a + 2b).
= (3d + 2c)(9a + 2b).
j) a^2b^3(2a + 1) - 6ab^2(-1 - 2a)
= a^2b^3(2a + 1) + 6ab^2(2a + 1)
= (2a + 1)( a^2b^3 + 6ab^2)
The GCF of a^2b^3 and 6ab^2 is ab^2, so we have:
(2a + 1)ab^2(ab + 6)
= ab^2(ab + 6)(2a + 1).
Find the perimeter. Simplify your answer.
Answer:
10u-16
Step-by-step explanation:
Formula for perimeter of a rectangle is 2l+2w, where l and w represent length and width respectively. Applying this formula here, we get 2(5u-10)+2(2), which is a simple expression to simplify:
2(5u-10)+2(2) = 2(5u)-2(10)+2(2) = 10u-20+4 = 10u-16
Answer:
10u - 16Step-by-step explanation:
Perimeter = 5u - 10 + 5u - 10 + 2 + 2
= 10u - 16...ans
Hope it Helps you!!The length of a rectangle is five centimeters less than width. Find the dimensions of the
rectangle if its area is 50 cm?
Answer:
w is 10 and l is 5
Step-by-step explanation:
l=w-5
lw=50
w^2-5w-50=(w-10)(w+5) since the negative solution does not make sense w=10 and therefore l is 5 so the length is 5 while the width is 10
what are possible ratios for 16 to 32
Answer:
1:3
Step-by-step explanation:
To simplify the ratio 16:32, we find the greatest common divisor of 16 and 32, and then we divide 16 and 32 by the greatest common divisor.
The greatest common divisor that you can use to simplify 16:32 is 16. Which means the answer to ratio 16:32 simplified is: 1:2
Hope it helps
A company spent $2415 on a plane ticket for seven employees all the tickets cost the same amount how much did each ticket cost
Answer:
$345
Step-by-step explanation:
2415 divided by 7 equals your total per ticket.
Module 3 DBA: What key features can be identified from graphs of polynomials of higher-
degrees and explain how the key features can be used sketch the graph of the polynomial
function? Remember to include how solutions are represented.
to be honest i dont remember srry
Answer:
Polynomials are algebraic expressions that contain more than two terms. AN example would be: f(x) = x^3 + x^2 + x +1. This equation contains three terms, with the 3rd degree as its highest term. It also means that the graph passed three x-intercepts. This depends in the highest degree. So, the first thing you do is plot the intercepts because for sure, the graph will pass there.
Step-by-step explanation:
Two parallel chords PQ and MN are 3 cm apart on the same side of a circle where PQ = 7 cm
and MN = 14 cm. Calculate the radius of the circle.
https://www.algebra.com/algebra/homework/Circles/Circles.faq.question.407869.html
someone please help and show work
Answer:
I already answered this for someone, but what you want to do is combine/cancel out like terms. So cancel out x on 2+7x/x to get 2+7/1. The first step in solving most rational equations is combining/canceling like terms, so follow through with that here.
Actually the answer is 7560.Because 3 1/2 X 2x4 X 4, 4 1/2 X x5 X 1=7560
Answer:
k
Step-by-step explanation:
What is mode in math.
Answer:
the number that appears the most in a data set
Step-by-step explanation:
example
3,4,5,2,3,3,3,7,7
Mode:3
What are the steps for solving -3/10 + 4/10
Answer:
1/10
Step-by-step explanation:
-3/10+4/10=4/10-3/10
=1/10
7.4{5[2 +16 ÷ (4× 2) − 3]− 4}− 24 =
How can you write and evaluate numbers with exponents?
Answer:
an exponent is the small number written above and to the right of a number
on a keyboard it is written like (^) that
ex. If you were saying 2 to the power of 2, you would write it as 2^2
when you see that number, that number is telling you how many times you multiply that number by itself, ex. 2^2 is telling you to multiply 2 by itself
Step-by-step explanation:
2 bags of cement cost 3500 how many bags can one buy with 17500
Answer:
10
Step-by-step explanation:
2 → $3500
? → $17500
? = 17500 x 2 / 3500 = 3500/3500 = 10
OR
3500 → 2
3500/2 = 1750
17500/1750 = 10
Therefore, whatever method you use, you will get 10 as an answer.
Find the measure of angle x in the figure.
Answer:
8
Step-by-step explanation:
We know that angles in a triangle add up to 180, so:
5x-60+2x+40+3x-80=180
Simplify
10x-100=180
Solve
Subtract 100 from both sides
10x=80
Divide 80 by 10 to find x
x=8
Can anyone convert the following to an index expression:'
3=log6(216)
9514 1404 393
Answer:
6 = ∛216
Step-by-step explanation:
The equivalent exponential form is ...
6³ = 216
Then the index form is ...
6 = ∛216
Find the number whose 1/3 part exceeds its 1/4 part by 12
Answer:1/5
Step-by-step explanation:
not entirle sure but yeah
a table is 60 cm in diameter. A tablecloth hangs 65cm all around. how much lace trim is needed to edge the cloth
The circumference of a circle is the total length of the boundary of the circle. So that the length of lace trim required is 597.1429 cm.
The diameter of the table is 60 cm, which has 65 cm tablecloth hanging on its sides. The diameter of the cloth required would be the length from one side to the other side. So that the total diameter of the tablecloth is:
= 60 cm + 2*65 cm
= 60 cm + 130 cm
= 190 cm
The diameter of the tablecloth required is 190 cm.
Thus to determine the circumference of the tablecloth, we have;
C = 2[tex]\pi[/tex]r
= [tex]\pi[/tex]D
where D is the diameter of the tablecloth.
C = [tex]\frac{22}{7}[/tex] x 190
= 597.1429
C = 597.1429 cm
Therefore, the length of lace trim required for the edge of the tablecloth is 597.1429 cm.
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Write the equation of the line in fully simplified slope-intercept form. Y intercept is -6
Answer:
y = 2/3x-6
Step-by-step explanation:
up 2, right 3
The speed of sound is approximately 720 miles per hour at sea level. At this rate, how many feet does it travel in 20 seconds? Use 1 mile=5280 feet.
Answer: 21120 feet.
Step-by-step explanation: We start with the fraction 1/180, found by putting 20 seconds over one hour. Then, we need to get the amount of miles the speed of sound travels in 20 seconds. We can use the fraction above as a ratio to get it. 720/1 x 1/180 = 4 miles. Then, we'll just do 4 times 5280, which is 21120.
The distance travelled by sound in 20 seconds is 21120 feet.
What is speed?In unit time the distance covered by any object is called speed.
In mathematical term, Speed is express as S=D/T,
where S=speed, D=distance, T= time.
Given that,
The speed of sound = 720 miles per hour.
According to given condition,
1 hour = 720 miles
Since, 1 hour = 60 minutes
60 minutes = 720 miles
1 minute = 12 miles.
1 minute = 60 seconds
60 second = 12 miles
1 second = 12 / 60 = 1/5 miles
20 second = 20 / 5 = 4 miles
According to given condition,
1 mile = 5280 feet
Therefore,
20 second = 5280 x 4 = 21120 feet
The distance travelled in 20 seconds is 21120 feet.
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Please help very confusing
guys i need help at least 1 question please
i will give brainliest
Answer:
most of them would be 0
Step-by-step explanation:
The system of equations y = -2x + 3 and y = x is graphed. What is the solution to the system of equations? ( graph above)
(0,0)
(1,1)
no solution
infinitely many solutions
the answer is y=1x because you have to use rise over run and the y intercept is 0.
GHOST FACE CULT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! help me
Answer:
it would be A
Step-by-step explanation:
because 4x-7=1
x=2
4(2)-7=1
8-7=1
I hope this helps you
What should a bank statement include
⇒
A bank statement is a list of all transactions for a bank account over a set period, usually monthly. The statement includes deposits, charges, withdrawals, as well as the beginning and ending balance for the period.
The top of a bank statement generally shows the name of the account holder along with sensitive information such as bank account number and branch number. It also contains a summary table that shows the time period, opening balance, deposits, withdrawals, and closing balance.
- BRAINLIEST answerer
What would the weight of the Labrador be in kilograms?
A. 4 kilograms
B. 88 kilograms
C. 40 kilograms
D. 8 kilograms
WILL MARK BRAINLY NO BOTS
Answer:
A 4 kilo hopes this helps :)
Step-by-step explanation:
CAN SOMEONE HELP ME PLEASE ASAP!
Answer:
880 feet per hour.
Step-by-step explanation:
26 inches to foot = 2.2
9 seconds to hour = 0.0025
2.2/0.0025 = 880 feet per hour.
If you need any more help please let me know and i will make a video for you.
The circumference of a circle is increasing at a rate of pi over 2 m/h at a certain instant the circumference is 12 pi meters what is the rate of change of the area of the circle at that instant in square meters per hour
Answer: 3pi
Step-by-step explanation:
Guessed and it was right, sorry don’t have an explanation.
The rate of change of the area of the circle at that instant in square meters per hour will be 3π.
What is the rate of change?The pace at which one quantity changes in relation to another is known as the rate of change function.
Given that the circumference of a circle is increasing at a rate of π / 2 m/h at a certain instant the circumference is 12 π meters.
The rate of change of circumference will be calculated as,
dc/dt = π/2
d (2πr)/ dt = π / 2
dr / dt = 1 / 4
The rate of change in the area,
A = πr²
dA / dt = ( 2πr ) dr / dt
dA/dt = 12π x ( 1 / 4)
dA/dt = 3π
Therefore, the rate of change of the area of the circle at that instant in square meters per hour will be 3π.
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