Answer:
-4 + 12i
Step-by-step explanation:
(-8 + 4i) (1 − i)
Distribute using FOIL.
(-8)(1) + (-8)(-i) + (4i)(1) + (4i)(-i)
-8 + 8i + 4i − 4i²
-8 + 12i + 4
-4 + 12i
The product of two complex numbers (-8+4i) and (1 - i) is - 4(1 + i).
What is a complex number?"A complex number is a number of the form a + bi, where 'a' and 'b' are real numbers. Here, i = √(- 1)."
Given, (- 8 + 4i)(1 - i)
= (- 8 + 4i - 8i - 4i²)
= [- 8 - 4i - 4(- 1)]
= (- 8 - 4i + 4)
= (- 4 - 4i)
= - 4(1 + i)
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hello help me with this question thanks in advance
• Can you list down similarities of your experience with your circle of friends?
A recent study published in Nature Communications says the reason for this likeness is that best friends actually have similar — or sometimes identical — brain activity.. Yup , your closest friends "get you" because it's like their basically looking in the mirror.. Friends and tend to have certain characteristics in common , Such as Age, Education and even intelligence — and yet , Research has long suggested that personality isn't one of these commonalities.. Some scientific research has shown how you're likely to be attracted to people who share similar facial characteristics as you. One theory for this is that we associate people who look like us with our parents, and thus have more positive feelings towards their features. Similarities are also important for friendships.Sam sold a watch at 20% less than the cost price. He receive 212$. What was the cost price of the watch?
Answer:
let cp = x
now ,
sp= x-5%ofx
212= 4x/5
x=265$
Answer: Cost price 265$
Step-by-step explanation: Loss% = 20.
Money Earned After loss =212$.
cost price - loss = 265 - 20% = 212.
Femi's last 5 bowling scores were 68, 75, 72, 90, and 80.
What was Femi's mean score?
Answer:
77
Step-by-step explanation:
Consider the set {sin2 x, cos2 x} in the vector space of differentiable real-valued
functions. Determine which of the following functions are in the span of the
above set: f(x) = 1, g(x) = 3 + x2, h(x) = sin x and k(x) = cos 2x.
later
Step-by-step explanation:
A bike costs $650.00. Then it is marked down 35%
What is the final sale price of the bike?
PLEASE ANSWER QUICKLY
Answer:
$422.50
Step-by-step explanation:
If the bike is marked down by 35% then the final sale price will be 65% of the original price (since 100% - 35% = 65%).
Convert 65% into a decimal: 65% = 65/100 = 0.65
Therefore, 65% of $650 = 0.65 × 650 = $422.50
We need first mark downed amount
[tex]\\ \rm\Rrightarrow 0.35(650)=227.5[/tex]
Marked down price
650-227.5=422.5[/tex]Which graph represents the inequality y≥1−3x?
Answer:
first one
Step-by-step explanation:
The line must pass through the coordinates (1/3, 0) and (0, 1). Hence the correct graph will be Graph A
Inequality graphInequality is are expressions not separated by an equal sign
The correct graph must have a solid line and shaded above the graph. The correct inequality sign will be a greater than or equal
Given the inequality y≥1−3x
The line must pass through the coordinates (1/3, 0) and (0, 1). Hence the correct graph will be Graph A
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Prove the following identity : csc4x−cot4x=csc2x+cot2x .
Answer: See attached image
Step-by-step explanation:
How long is the minute hand on a clock whose tip travels 15 cm from 1:15 to 1:30 to the nearest tenth?
10.1 cm
9.6 cm
6.0cm
0.2 cm
We will see that the length of the minute hand is 9.6 cm.
How long is the minute hand?
We know that for a circle of radius R, the length of the arc defined by an angle of θ is:
L = θ*R
In this case, the length of the arc is 15 cm, and the angle is the one between 1:15 and 1:30, which is one-fourth of a complete circle.
If a complete circle has an angle of 2pi, then one-fourth of a circle has an angle θ = (2pi)/4 = pi/2
Then, replacing the length of the arc and the angle we have:
15cm = (pi/2)*R
Now we can solve this for R, remember that pi = 3.14:
(15 cm)*(2/3.14) = R = 9.6cm
So the length of the minute hand is 9.6 cm.
So the correct option is the second one.
If you want to learn more about circles, you can read:
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Answer:
B: 9.6cm
Step-by-step explanation:
took the test
. Solve the system of equations using the Elimination Method.
X+3y - 2z=2
3x+2y+z=13
-2x+3y - 3z= -5
Answer:
{x,y,z}={1,3,4}
Step-by-step explanation:
System of Linear Equations given :
[1] x + 3y - 2z = 2
[2] 3x + 2y + z = 13
[3] -2x + 3y - 3z = -5
Solve by Substitution :
// Solve equation [2] for the variable z
[2] z = -3x - 2y + 13
// Plug this in for variable z in equation [1]
[1] x + 3y - 2•(-3x-2y+13) = 2
[1] 7x + 7y = 28
// Plug this in for variable z in equation [3]
[3] -2x + 3y - 3•(-3x-2y+13) = -5
[3] 7x + 9y = 34
// Solve equation [3] for the variable y
[3] 9y = -7x + 34
[3] y = -7x/9 + 34/9
// Plug this in for variable y in equation [1]
[1] 7x + 7•(-7x/9+34/9) = 28
[1] 14x/9 = 14/9
[1] 14x = 14
// Solve equation [1] for the variable x
[1] 14x = 14
[1] x = 1
// By now we know this much :
x = 1
y = -7x/9+34/9
z = -3x-2y+13
// Use the x value to solve for y
y = -(7/9)(1)+34/9 = 3
// Use the x and y values to solve for z
z = -3(1)-2(3)+13 = 4
Solution :
{x,y,z} = {1,3,4}
What is the measure of the unknown angle? 7 50° n
Answer:
310°
Step-by-step explanation:
360 - 50 = 310
A full circle is 360, therefore you just need to take away the degree they gave you from it in order to find the remaining angle.
let f(x)=3-3x+5x^2.calculate the following.
f(a)=
f(a+h)=
f(a+h)-f(a)/h= for h≠0
Answer & step-by-step explanation:
[tex]f(a)[/tex] is simply calculating by replacing a in lieu of x
[tex]f(a) = 3-3a+5a^2[/tex]
Same difference for [tex]f(a+h)[/tex], just be careful with products and squares:
[tex]f(a+h) = 3-3(a+h)+5(a+h)^2 = 3-3a-3h+5a^2+10ah+5h^2 = 3-3a+5a^2 -3h+10ah+5h^2[/tex]
In the last step i just reorganized terms so that everything containing h was at the end.
Finally, for the incremental ratio, writing it as 1/h for the sake of font sizes:[tex]\frac{f(a+h)-f(a)}h = \frac1h[(3-3a+5a^2-3h+10ah+5h^2)-(3-3a+5a^2)]=\\\frac1h(-3h+10ah+5h^2) = 10a-3 +5h[/tex]
when is the shsat test in 2020?
Answer:
DATE EVENT
Early September—Mid-October 2020 Register through your school counselor
Mid-October 2020 Receive your Test Ticket and/or Audition Ticket w/specific date, time, and location
October 26 & 27, 2020 (Subject to change) 8th grade SHSAT
November 2 & 17, 2020 (Subject to change) 9th Grade SHSAT
Other Events:
SHSAT make-up test
SHSAT for 8th and 9th grade students who are English Language Learners or students with disabilities who have IEPs or approved 504 plans
Early—Mid November 2020 LaGuardia High School Auditions, in alphabetical order by last name, borough by borough (Bronx, Brooklyn, Manhattan, Queens/Staten Island)
March 2021 Receive SHSAT scores and Specialized High School admission results through your school counselor
Step-by-step explanation:
I looked it up.
Answer:
Undecided
Step-by-step explanation:
No one knows when it'll be, but probably soon.
If the sum of a number and nine is tripled. The result is eight less than twice the number
Answer:
-35
Step-by-step explanation:
[tex]3(x+9)=2x-8[/tex]
[tex]3x+27=2x-8[/tex]
[tex]x+35=0[/tex]
[tex]x=-35[/tex]
Answer:
The number is -35.
Step-by-step explanation:
3(n + 9) = 2n - 8
3n + 27 = 2n - 8
n = -35
What is the approximate volume of a cone with a height of 12 in. and radius of 9 in.?
Use 3.14 to approximate pi, and express your final answer to the nearest hundredth.
Enter your answer as a decimal in the box.
Answer:
the answer is 1017.8760 in cube
A population of five families is to be sampled. The incomes of the five families (in thousands of dollars) are: Family Income ($000) A 12 B 23 C 18 D 7 E 16 a. Find the population mean income of the five families. 2 point
The population mean income of the five families is their average income
The population mean income of the five families is #15.2
How to determine the population mean?The income of the five families in a thousand dollars is given as:
A 12 B 23 C 18 D 7 E 16
The population mean is then calculated as:
[tex]\mu = \frac{\sum x}n[/tex]
So, we have:
[tex]\mu = \frac{12 + 23 + 18 + 7 + 16}5[/tex]
Evaluate the sum
[tex]\mu = \frac{76}5[/tex]
Evaluate the quotient
[tex]\mu = 15.2[/tex]
Hence, the population mean income of the five families is #15.2 thousand
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A ladybug and ant move at constant speeds. The diagrams with tick marks show their positions at different times. Each tick mark represents 1 centimeter. Lines u and v also show the positions of the two bugs. Which line shows the ladybug’s movement?
Answer:
Line u shows the movement of the ladybug. Because line v goes farther than line u
Step-by-step explanation:
Because line v goes farther than line u
The ladybug's motion is depicted in line u. Because line v is moving farther than line u.
What is Speed?The amount of the shift in approach per unit of time or the size of the displacement over time for an object can be used to describe speed, which would be a scalar quantity in everyday language and kinematics.
The maximum speed that can be maintained when a period grows closer to zero is the starting speed.
By dividing the object's distance traveled by the duration of the interval, the mean pace of the object for the given period is calculated. Speed and velocity are not always the same thing.
The line u and v show the position of the two bugs, but the line that shows the ladybug's movement is line u because line v is moving farther than line u.
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Someone plz help me quickkkk
Answer:
40 because I had the same exact problem and I got an A+
Which table of input Values x and output values Y
Answer:
each input has exactly one output.
Step-by-step explanation: input can only have one output for the table to be a function
In an isosceles triangle (a triangle where two of the three sides called legs are equal), the legs
are 1 unit less than twice the length of the base. If the length of the base of the triangle is
represented by x, create an expression that represents the perimeter of the triangle.
Answer:
it has 3 angles and that angle is x
Which of these whole aumbers are even
7,987
936
13,483
15
Answer:
936
Step-by-step explanation:
A sequence is given by the equation a, = an 1-2. If a1 =12, what is the
value of the term of A4 ?
Answer:
a= 11 to the power of 2. check the formula dude.
Explain and Prove that the sides of the triangles below are a right triangle.
1.) 5, 10,12
2.) 6,5,3
3.) 3, 4, 5
4.) 6, 8,10
*Pls explain all ill give you brainliest or w.e its called*
(9x + 4) (2x2 – 17x - 9) = 0
-
Answer:
I literally just did this one. you get 3 solutions x=9, -1/2, -4/9. factor the 2nd group.
Please answer my question fast.
Answer: 19
Step-by-step explanation: Take 1836 and divide by 23 because 23 is the amount of boxes James needs to fill. Then after you divide you have 19 left over. :)
The U.S. government has devoted considerable funding to missile defense research over the past 20 years. The latest development is the Space-Based Infrared System (SBIRS), which uses satellite imagery to detect and track missiles ( Chance, Summer 2005). The probability that an intruding object (e.g., a missile) will be detected on a flight track by SBIRS is 0.8. Consider a sample of 20 simulated tracks, each with an intruding object. Let x equal the number of these tracks on which SBIRS detects the object. (a) Is x (approximately) a binomial random variable? Group of answer choices No Yes
Answer: Yes
Step-by-step explanation:
Given that :
Probability of success (p) = 0.8
Number of simulations (n) = 20
Number of tracks on which infrared system detects object = x
To test if it is binomial random variable :
For a binomial distribution :
P(x) = nCx * p^x * (1 - p)^(n-x)
Since the variables given are enough to create and use a binomial probability distribution, then x is approximately a binomial random variable.
A rectangular frame has width 7 in. longer than its length. What is the width of the painting if its area is 18 in?
A)6 inches
B)2 inches
C)3 inches
D)9inches
Answer:
9inches
Step-by-step explanation:
i think i hope its right..
please help
calculate each unknown side length.
Answer:
x = 6.6 inchesy ≈ 12.0 inchesStep-by-step explanation:
The Pythagorean theorem relates side lengths in right triangles. It tells you the square of the hypotenuse is equal to the sum of the squares of the sides.
__
Left triangle8.8² + x² = 11²
x² = 121 -77.44 = 43.56
x = √43.56 = 6.6 . . . inches
__
Right triangle6.6² +10² = y²
43.56 +100 = y² = 143.56
y = √143.56 ≈ 11.982
y ≈ 12.0 . . . inches
A parking lot is 400 yards long and 300 yards wide. You would want to make a miniature version
of this in your production design course. If you make it 10 inches long, how wide should it be?
If the scale I make for the parking lot is 10 inches long, it should be 7.5 inches wide.
What is a scale?Scale is a term to refer to a drawing and design method in which an object or space and its actual measurements are taken as a reference and subsequently reduced or increased while maintaining the proportions between their measurements.
How to calculate the length of the width of the parking lot to scale?To calculate the width of the parking lot to scale, it is necessary to perform the following mathematical operation.
We need to figure out how much 100 yards is on the inch scale model. So if 400 yards is 10 inches we must divide this value by 4 as shown below:
10 ÷ 4 = 2.5Based on the above, 100 yards equals 2.5 inches on this model. So if your width is 300 yards, the length in inches would be 7.5 inches.
2.5 × 4 = 7.5Learn more about scales in: https://brainly.com/question/19896181
Multiplying an integer by a negative number word problem example
Answer:
7 * (-4)
Step-by-step explanation:
Firstly, 7 is an integer(meaning there is nothing special about it, its not a decimal, its just an integer). -4 being the negative number in the example
hope i helped
:D
NO LINKS!!
The length of a rectangle is 5 less than twice the width. What values of the width will make the area less than 150 square feet? Define your variable(s). Write inequalities that could be used to solve this problem. Then solve the problem.
Answer: Anything between 0 and 10, excluding both endpoints.
In terms of symbols we can say 0 < w < 10 where w is the width.
===================================================
Explanation:
You could do this with two variables, but I think it's easier to instead use one variable only. This is because the length is dependent on what you pick for the width.
w = width
2w = twice the width
2w-5 = five less than twice the width = length
So,
width = wlength = 2w-5which lead to
area = length*width
area = (2w-5)*w
area = 2w^2-5w
area < 150
2w^2 - 5w < 150
2w^2 - 5w - 150 < 0
To solve this inequality, we will solve the equation 2w^2-5w-150 = 0
Use the quadratic formula. Plug in a = 2, b = -5, c = -150
[tex]w = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\w = \frac{-(-5)\pm\sqrt{(-5)^2-4(2)(-150)}}{2(2)}\\\\w = \frac{5\pm\sqrt{1225}}{4}\\\\w = \frac{5\pm35}{4}\\\\w = \frac{5+35}{4} \ \text{ or } \ w = \frac{5-35}{4}\\\\w = \frac{40}{4} \ \text{ or } \ w = \frac{-30}{4}\\\\w = 10 \ \text{ or } \ w = -7.5\\\\[/tex]
Ignore the negative solution as it makes no sense to have a negative width.
The only practical root is w = 10.
If w = 10 feet, then the area = 2w^2-5w results in 150 square feet.
----------------------
Based on that root, we need to try a sample value that is to the left of it.
Let's say we try w = 5.
2w^2 - 5w < 150
2*5^2 - 5*5 < 150
25 < 150 ... which is true
This shows that if 0 < w < 10, then 2w^2-5w < 150 is true.
Now try something to the right of 10. I'll pick w = 15
2w^2 - 5w < 150
2*15^2 - 5*15 < 150
375 < 150 ... which is false
It means w > 10 leads to 2w^2-5w < 150 being false.
Therefore w > 10 isn't allowed if we want 2w^2-5w < 150 to be true.