Answer:
From 3:23-3:24
Step-by-step explanation:
If a = –2 + 2i and b = -5i, then find the value of the ab^3 in
fully simplified form.
Answer:
Step-by-step explanation:
Rewrite the equation
Start multiplying
Simplify
The value of ab³ in simplified form is equal to -250(i + 1).
What is an equation?Equations are mathematical expressions that have two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be equal, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation. For an unknown quantity represented by an unknown variable, equations are then solved to determine its value. A statement is not even an equation if there is no "equal to" sign in it.
From the given values in the question,
a = -2 + 2i
b = -5i
ab³ = (-2 + 2i) × (-5 i)³
= (-2 + 2i) (-125 i³)
= (-2 + 2i) (-125 (-i))
= (-2 + 2i) (+125 i)
= 125 i(-2) + 125 i(2i)
= -250 i + 250 i²
= -250 i -250 or,
ab³ = -250 (i+1)
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The dataset below represents the population densities per square mile of land area in 15 states in the 2010 U.S. Census. What is the interquartile range?
Answer:
The Interquartile range is 188
Step-by-step explanation:
Missing Data:
1,19,35,43,49,55,63,94,105,110,175,231,239,351,738
Required
Determine the Interquartile range (IQR)
The given data is ordered already.
First, we need to determine the median
For odd number of data
Median = ½(n + 1)th
In this case, n = 15; so
Median = ½(15 + 1)th
Median = ½(16)th
Median = 8th
This implies that the median is at the 8th position.
So, we have:
1,19,35,43,49,55,63 ----> Lower
(94) ---- Median
105,110,175,231,239,351,738 ---- Upper
Next, we determine the median of the lower and upper sets.
These are called lower quartile (Q1) and upper quartile (Q3) respectively
Lower: 1,19,35,43,49,55,63
Number of data, n = 7
Q1 = ½(n + 1)th
Q1 = ½(7 + 1)th
Q1 = ½(8)th
Q1 = 4th position
From the list of data in the lower set,
Q1 = 43
Upper: 105,110,175,231,239,351,738
Number of data, n = 7
Q3 = ½(n + 1)th
Q3 = ½(7 + 1)th
Q3 = ½(8)th
Q3 = 4th position
From the list of data in the upper set,
Q3 = 231
IQR is then calculated as thus:
IQR = Q3 - Q1
IQR = 231 - 43
IQR = 188
Jesse has four friends over to study. He bakes four pizzas to share equally for lunch. His father takes half of one when the pizzas come out of the oven. Jesse still has to divide the remaining pizza equally among the study group. Use this information for Parts A and B below.
Answer:
they each get 1 slice because the father took half the pizza.
Enter the equation in slope-intercept form. Then graph the line described by the equation.
5x + y = 1
Slope-intercept form is (select)
5x +y = 1
Answer:
y = 1 -5x
Step-by-step explanation:
You have to get y by itself. So first you move 5x to the other side but since it’s positive you have to make it negative so it canceled out.
Hi there!
[tex]\large\boxed{y = -5x + 1}[/tex]
5x + y = 1
Arrange into slope-intercept form (y = mx + b):
Subtract both sides by -5x to isolate y:
5x - 5x + y = 1 - 5x
y = 1 - 5x
Rearrange:
y = -5x + 1
Graph the equation by finding corresponding x and y values:
X Y
0 1
1 -4
2 -9
-1 6
-2 11
**Equation graphed below**
What is 3x5 in mathematics
Answer:
3x5=15
Step-by-step explanation:
If you have three groups of 5 objects, you will have 15 objects in total.
______________________
║ object object ║
║ object ║
║object object ║
║_____________________║
______________________
║ object object ║
║ object ║
║object object ║
║_____________________║
______________________
║ object object ║
║ object ║
║object object ║
║_____________________║
HTH :)
Answer:
3 x 5 = 15
Step-by-step explanation:
If you have a three baskets, and five apples in each then you would just add five three times. I hope that some what made sense. I usually just think of it like that. :)
Last week, Clay had a beginning balance of $60 in his account. He wrote 4 checks for $20 each from his checking account, withdrew another $30, and finally made a deposit of $96.
Part A: Write an expression and your answer to show his final account balance at the end of the week.
Im in 7th Grade btw :/
Part B: Explain in words, what Clay should do to get his account balance to zero?
Answer:
Last week, Clay had a beginning balance of $60 in his account. He wrote 4 checks for $20 each from his checking account, withdrew another $30, and finally made a deposit of $96.
Part A: Write an expression and your answer to show his final account balance at the end of the week.
This is only ans...What is the rate of change in the table?
X. Y
2. 10
4. 20
6. 30
Please help me I don’t understand
i need help with this one Eight cookies cost $12. At this rate, how much will 10 cookies cost?
Answer:
$15
Step-by-step explanation:
12/8 = 1.5 = 1.50 per cookie
1.50* 10 = 15
is the relation a function? explain
All functions are relations, but not all relations are functions. A function is a relation that for each input, there is only one output.
Please help picture below.
Answer:
AB = 6cm
BC = 14cm
Step-by-step explanation:
AB:BC => AB + BC = 7+3 = 10
20cm / 10 = 2
AB = 3cm x 2 = 6cm
BC = 7cm x 2 = 14cm
What is
6 / 2 ( 1 + 2 )
6 divided by 2 ( 1 + 2 )
Answer: 9
Step-by-step explanation:
Es una operación combinada, cuando hay una operación en un paréntesis significa que se hace primero que todo
Consider the sequence of numbers: 3/8, 3/4, 1 1/8, 1 1/2, 1 7/8. . . Which statement is a description of the sequence?
Answer:
The sequence is recursive and can be represented by the function f(n + 1)= f(n) + 3/8
Step-by-step explanation:
i got it right on the assignment
does anyone know the answer ???????
Answer:
I can't really see the top numbers...
Step-by-step explanation:
Solve 2x + 5 = 12
what’s the what is x
Answer:
x = [tex]\frac{7}{2}[/tex]
Step-by-step explanation:
Given
2x + 5 = 12 ( subtract 5 from both sides )
2x = 7 ( divide both sides by 2 )
x = [tex]\frac{7}{2}[/tex] [ or x = 3.5 ]
What is the value of f(x)=1/2x+5 when x=4?
Answer:
f=7/4
Step-by-step explanation:
substitute x for 4 and do the equation you will get the equation f(4)=1/2(4)+5 simplify to the equation to 4f=2+5. Then do the addition and get 4f=7. Divide both sides by 4 and get f=7/4
An elevator starts on the
ground floor. It goes up 7
floors and then down 9 floors.
What floor is it on?
Answer:
Two floors underground
Step-by-step explanation:
Answer:
-2nd level, in the basement
Step-by-step explanation:
If we look at the number line, we can track the movement of the elevator. The ground floor is point 0. The blue dot indicates the starting position. The blue arrow indicates the positive movement of 7, and the red arrow shows negative movement of 9. The red dot is the elevator's final position.
I hope this helps!
Write down in terms of n, an expression for the nth term of the following sequences: a) 1 8 15 22 29 B) 12 16 20 24 28
A)
Sequence: 1 , 8 , 15 , 22 , 29
Difference : 7
Back one : -6
Expression : 7n-6
B)
Sequence: 12 , 16 , 20 , 24 , 28
Difference : 4
Back one : 8
Expression : 4n+8
A sequence is an ordered list of elements with a specific pattern.
The nth term of the sequence:
A) 1 8 15 22 29 is [tex](n-1)^{th}[/tex] + 7.
B) 12 16 20 24 28 is [tex](n-1)^{th}[/tex] + 4.
What is a sequence?A sequence is an ordered list of elements with a specific pattern.
Example: 2, 5, 8, 11, ... is a sequence where each term is obtained by adding 3 to its previous term.
We have,
a) 1 8 15 22 29
1 + 7 = 8
8 + 7 = 15
15 + 7 = 22
22 + 7 = 29
We see that each term is obtained by adding 7 to the previous term
So, the nth will be in the form:
nth = [tex](n-1)^{th}[/tex] + 7
b) 12 16 20 24 28
12 + 4 = 16
16 + 4 = 20
20 + 4 = 24
2 + 4 = 28
We see that each term is obtained by adding 4 to the previous term.
So, the nth term will be in the form:
nth = [tex](n-1)^{th}[/tex] + 4
Thus the nth term of the sequence:
1 8 15 22 29 is [tex](n-1)^{th}[/tex] + 7.
12 16 20 24 28 is [tex](n-1)^{th}[/tex] + 4.
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Which answer shows 0.05 for in in scientific notation
What is (125x^21y^-3)^-5/3 simplified?
Answer:
y⁵/132x³⁵
Step-by-step explanation:
hope this is right
Which best represents the solution set of all real numbers?
[ [ PLEASE ANSWER , I'M CONFUSED ] ]
Answer:
B.
Step-by-step explanation:
Since the solution set is all real numbers, our solution graph must cover the entire number line.
We can see that B contains the graph that extends infinitely in both directions, thereby covering the entire number line.
Therefore, our answer is B.
A is not correct because it leaves out [-6, 1] (approximately).
C is not correct because it leaves out everything to the left of -7 and everything to the right of 1.
What is the value of x in the equation 4(2x + 12) = 0? (1 point) Group of answer choices −8 −6 6 8
Answer:
Step-by-step explanation:
4(2x+12)=0 work the () first
8x+48=0 subtract 48 to both sides to get the x by itself
8x=-48 divide by 8
x= -6
plz help me solve this
solve It with Pythagoras theorem
u will get 60 points if u ans correct
Answer:
x = 4√2 or ≈ 5.66
Step-by-step explanation:
AB = √5²-3² = √16 = 4AB=AC ⇒ BC = AB√2 x = 4√2 ≈ 5.66PLEASE HELP what type of angles are 7 and 8?
7 is acute, and 8 is obtuse. I hope that's what you meant.
7 is an acute angle and 8 is an obtuse angle.
halp meh ill give brainilist or whatever it is
Nicholas has decided to buy 1.5 pounds of Sour Patch Kids 1 pound is 3.99 How much will the Sour Patch Kids cost?
Answer:
Step-by-step explanation:
5.98
The customer must first pay an annual 300 a ductile in the policy covers 70% of cost of x-rays the first Insurance claim for Pacific year submitted by a person or two X-Rays the first x-ray cost 6:40 and the secondary x-ray cost 950 how much in total will he need to pay for these x-rays
Answer:
$177
Step-by-step explanation:
Given that:
Percentage covered by policy = 70%
Hence, person needs to pay (100 - 70)% = 30%
X - Ray cost :
1st = 640
2nd = 950
Total cost = (640 + 950) = 1590
Amount the person has to pay:
Total cost * 30%
1590 * 0.3 = $477
Since the person has $300 deductible :
$477 - $300 = $177
if M <1 = 115 degrees what is m <2
Answer:
M<2= 65
Step-by-step explanation:
The reason it is 65 because 2 angles add up to either 90 or 180 and in this case it would be 180.
You would use angle addition postulate to find the answer so M<1 + M<2 = 180.
Since M<1 is 115 you would substitute it into the formula so 115 + M<2 = 180
Then you would subtract 115 from 180 in which you would get M<2 = 65
A cat casts a 32-inch shadow at the same time a nearby flower casts an 8-
inch shadow. If the flower is 3 inches tall, how tall is the cat?
Answer:
the cat is 27 inches tall
Step-by-step explanation:
the cat is 27 inches tall because when the flower cast is 8 inches but the flower itself is 3 inches you do 8-3=5 take 32-5 and you get 27inches
Solve -2(5x – 3) = 41.
-2a + 22 = 22
8a + 22 = 22
-2a + 2 = 22
8a + 2 = 22
Answer:
I would recommend...
Step-by-step explanation:
try using a website called WolframAlfa. its easy to use just plug in the equation and It will give you a step-by-step.
:) hope this helps lol