Answer:
see below
Step-by-step explanation:
x⁵ - 8x⁴ + 22x³ - 26x² + 21x - 18 = 0
x = 2, x = ± i, x=3 with multiplicity 2
-----------------------------------------------------
x⁴ - 5x³ + 7x² - 5x + 6 = 0
x = 2, x=3, x = ± i
--------------------------------------------------------
-1 + 4i = 4 + i
i
--------------------------------------------------------
x³ - 26x² + 21x - 18 = 0
x = ± 2i, x = 3/2
--------------------------------------------------------
(1 + i) (-3 - 4i)
= 1 - 7i
--------------------------------------------------------
6.
(-5 + 2i) + (3 - 6i)
= -2 -4i
--------------------------------------------------------
7.
x⁴ + 5x² + 4 = 0
x = ± i , x = ± 2i
--------------------------------------------------------
8.
(7 - i) - (-5 + 6i)
= 12 - 7i
--------------------------------------------------------
9.
(4 - i) (4 + i)
= 17
--------------------------------------------------------
10.
(3 + 8i) (4 - 3i)
= 36 + 23i
what is 5/8 minus 3/10
Answer:
13/40
Step-by-step explanation:
5/8 - 3/10
get a common denominator of 40
5/8*5/5 - 3/10 *4/4
25/40 - 12/40
13/40
Answer:
13/40
Step-by-step explanation:
We can find the lowest common multiple of 8 and 10, so that the two fractions will have the same denominator.
The LCM of 8 and 10 is 40, so we can rewrite 5/8 as 25/40 by multiplying the numerator and denominator by 5, and rewrite 3/10 as 12/40 by multiplying the numerator and denominator by 4.
This makes the subtraction easier, as we find 25/40 - 12/40.
We get (25-12) / 40, or 13/40.
Quadrilateral A has side lengths 6, 9, 9, and 12. Quadrilateral B is a scaled copy of Quadrilateral A, with its shortest side of length 2. What is the perimeter of Quadrilateral B?
Answer:
Look below
Step-by-step explanation:
Ok, you got a Quadrilateral with the side lengths 6, 9, 9, 12
The shortest of B is 2
Find the scale factor of the A to B
6 -> 2
6/2 = 3
Scale factor is 3
Now divide all the sides by scale factor
6/3, 9/3, 9/3, 12/3 = 2, 3, 3, 4
Add them all together to get the perimeter
2+3+3+4 = 12
Perimeter of B is 12
solve 10^2n-6=10,000
Answer:
[tex]\Large \boxed{{n=5}}[/tex]
Step-by-step explanation:
10^2n-6 = 10,000
Make 10,000 with base 10.
10^2n-6 = 10^4
Cancel same bases.
2n-6 = 4
Add 6 to both sides.
2n = 10
Divide both sides by 2.
n = 5
Answer:
[tex]\huge\boxed{n = 5}[/tex]
Step-by-step explanation:
[tex]10^{2n-6} = 10,000[/tex]
Write 10,000 as a base of 10
[tex]10^{2n-6} = 10^4[/tex]
Comparing both sides , we get:
[tex]2n - 6 = 4[/tex]
Adding 6 to both sides
2n = 4+6
2n = 10
Dividing both sides by 2
n = 10 / 2
n = 5
What is the value of x?
Answer:
x = 21
Step-by-step explanation:
5x = (90 + 15)
5x = 105
x = 21
Write a survey question for which you would expect to collect categorical data.
Answer:
My question would be:
What is your favorite movie genre?
Step-by-step explanation:
A survey is a series of questions asked to a group of people with the intention of gathering data or detecting a public opinion on a certain matter.
To carry out a good survey, the following are required:
- Establish the objectives of the survey to be carried out.
- Choose the population to which the survey will be directed.
- Design the survey with the necessary questions to obtain the established ones.
- Apply the survey and collect the data.
As of 2015, there were over 75,000 elevators in New York City. The frequency table summarizes data on the number of elevators of each type. How do you make a frequency graph to display the data? Photo included. Please answer, thanks!
Answer:
Please find attached the log graph of the count (frequency) of the elevator types
Step-by-step explanation:
The number of different elevators types = 9
The maximum count of an elevator type = 96,602
The minimum count of an elevator type = 45
The mean count or number of elevator per type = 8,454
The standard deviation of number of elevator per type = 20,599.6
Given the wide difference between the mean and the standard deviation, the values of the count or frequency can be converted into the equivalent ㏒₁₀ values to flatten the frequency bar chart or histogram as follows;
Type [tex]{}[/tex] Count (f) ㏒₁₀ (f)
Passenger elevator 66,602 4.823487
Freight elevator 4,140 3.617
Escalator 2,663 3.425371
Dumbwaiter 1,143 3.058046
Sidewalk 943 2.974512
Private elevator 252 2.401401
Handicap lift 227 2.356026
Manlift 73 1.863323
Public elevator 45 1.653213
The information can then be easily graphically displayed.
Arrange 0.1, 0.25, 0.15, 0.5 in ascending order
Answer:
0.1, 0.15, 0.25, 0.5
Step-by-step explanation:
0.1, 0.15, 0.25 ,0.5
Please mark brainliest :) have a nice day
solve the system of equations
Hey, there!!
Given that:
y = 3x.........(i)
[tex]y = {x}^{2} + 3x - 16.......(ii)[/tex]
Putting the value of y in equation (ii)
[tex] {3x}^{} = {x}^{2} + 3x - 16[/tex]
[tex] {x }^{2} - 16[/tex]=0
[tex]( {x)}^{2} - {4}^{2} = 0[/tex]
[tex](x + 4)(x - 4) = 0[/tex]
Therefore,
Either Or
(x+4)=0 (x-4)=0
x= -4 x= 4
so, x= (+ -)4
And if you wanna get value of y, just keep value of x in equation (i).
y= 3x
y= (3×4) or (3×-4)
y= 12 or -12
{As it is the quadratic equation it has two values. }
Hope it helps....
Simplify the expression 3a + b, when a=1.4 -2x and b=-0.2x + 1.7*
Answer:5.9-6.2x
Step-by-step explanation:
a=1.4-2x
b=-0.2x+1.7
3a+b
=3(1.4-2x)+(-0.2x+1.7)
=4.2-6x-0.2x+1.7
=4.2+1.7-6x-0.2x
=5.9-6.2x
Answer:
Step-by-step explanation:
3a + b
a = 1.4 - 2x
b = -0.2x + 1.7
3 ( 1.4 - 2x ) + -0.2x + 1.7
= 4.2 - 6x - 0.2x + 1.7
= 4.2 + 1.7 - 6x - 0.2x ( by rearranging the like terms )
= 5.9 - 6.2 x
hope this helps
plz mark as brainliest!!!!!!!!
What is 16/27 as a decimal rounded to 3 decimal places?
Answer:
o.593
Step-by-step explanation:
The required value of the decimal equivalent of the given fraction is 0.592.
What is a fraction?A fraction is a number written in the form a / b, where a and b are integers and b ≠ 0.
The number a is called as the numerator and b is the denominator.
If the fractions have the same denominators then their numerators are added keeping the denominators as the same.
For fractions with different denominators the LCM of the denominators are taken then that is divided by the numerators of each fraction and the number obtained is multiplied to each of them to get the equivalent fraction.
The given fraction is 16/27.
In order to convert it into decimal divide 16 by 27 upto 3 decimal places to obtain,
16/27 = 0.592
Hence, the given fraction 16/27 can be written as decimal as 0.592.
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Determine what type of model best fits the given situation: The temperature of a cup of coffee decreases by 5 F every 20 minutes.
Answer:
A first-order polynomial best fits the given situation.
Step-by-step explanation:
The statement indicates a constant rate of change in a given time interval, so the model that best fits the given situation is a first-order polynomial model, which is a generalized form of a model with direct proportionality. That is:
[tex]T = T_{o} + r \cdot t[/tex]
Where:
[tex]T[/tex] - Current temperature, measured in Fahrenheit degrees.
[tex]T_{o}[/tex] - Initial temperature, measured in Fahrenheit degrees.
[tex]r[/tex] - Temperature rate of change, measured in Fahrenheit degrees per minute.
[tex]t[/tex] - Time, measured in minutes.
The statement describes the temperature rate of change, which is equal to:
[tex]r = \frac{5\,^{\circ}F}{20\,min}[/tex]
[tex]r = \frac{1}{4}\,\frac{^{\circ}F}{min}[/tex]
Jason worked to earn $298.45 and William worked to earn $190.00. If the
both earn $6.35 per hour, how many hours did Jason work?
Answer:
47
Step-by-step explanation:
298.45/6.35=47 its ez just some division
Answer:
47
Step-by-step explanation:
298.45/6.35= 47
James is playing his favorite game at the arcade. After playing the game 333 times, he has 888 tokens remaining. He initially had 202020 tokens, and the game costs the same number of tokens each time. The number ttt of tokens James has is a function of ggg, the number of games he plays. Write the function's formula.
Answer:
t(g)= -4g + 20
Step-by-step explanation:
James is playing his favorite game at the arcade. After playing the game 3 times, he has 8 tokens remaining. He initially had 20 tokens, and the game costs the same number of tokens each time. The number tt of tokens James has is a function of gg, the number of games he plays
Solution
Let
g=No. of games James plays
t= No. of tokens James has.
Find the slope using
y=mx + b
Where,
m = Slope of line,
b = y-intercept.
Before James started playing the games, he has a total of 20 tokens.
That is, when g=0, t=20
After James played the games 3 times, he has 8 tokens left
That is, when g=3, t=8
(x,y)
(0,20) (3,8)
m=y2-y1 / x2-x1
=(8-20) / (3-0)
= -12 / 3
m= -4
Slope of the line, m= -4
y=mx + b
No. of tokens left depend on No. of games James plays
t is a function of g.
t(g)
t(g)= -4g + 20
Answer:
-4g + 20
Step-by-step explanation:
I did it on khan and this was right
x=1 y= 2
3(x+2y)-2x+10 =
Answer: 23
Step-by-step explanation:
15) Luke needs to fix the given marble slide. Explain what changes Luke needs to make to the given equation
to successfully capture all the stars.
VALO
TTTTTT
onde esta a altenaativas
Find the smallest value of $x$ such that $x^2 + 10x + 25 = 8$.
Answer:
-5 -√8 or ≈ -7.83
Step-by-step explanation:
Solving the quadratic equation, to find its roots:
x^2 + 10x + 25 = 8 ⇒ The left side is perfect square(x+5)^2=8 ⇒ Getting square root of both sidesx+5 = ± √8 ⇒ There are 2 rootsx = - 5 ± √8The smallest root is:
x= -5 - √8 ≈ -7.83a train hundred metre long is movie with a velocity 16 kilometre per hour find the time it takes to cross 1 kilometre long bridge.
Answer:
4 minutes 7 1/2 seconds
Step-by-step explanation:
For the train to completely cross the bridge, it must travel a distance equal to the sum of its own length and that of the bridge.
time = distance/speed
time = (1 +0.1) km/(16 km/h) = 1.1/16 h ≈ 0.06875 h
It will take the train 0.06875 hours, about 4 minutes 7 1/2 seconds, to cross the bridge.
The function y = 4/5x - 6 is shifted up 13 units. What is the equation of the new function?
Evaluate the following expression for the given values of the variables. Please explain i’m really struggling with this! 3m - 4n; For m= -2 and n= -3 A) -6 B) 6 C) -18 D) 18
Answer:
Hey there!
Given Expression: 3m-4n
Substitute: 3(-2)-4(-3)
Solve: -6+12
Simplify: 6
6 should be your final answer.
Let me know if this helps :)
Answer:
[tex] \boxed{ \bold{ \sf{ \huge{ \boxed{6}}}}} [/tex]Option B is the correct option.
Step-by-step explanation:
Given, m = -2 and n = -3
Given expression : 3m - 4n
If the value of variables of algebraic expressions are given, the value of the term it expression can easily obtained by replacing the variables with numbers.
Let's solve:
[tex] \sf{3m - 4n}[/tex]
Plug the values of m and n
[tex] \sf{ = 3 \times ( - 2) - 4 \times ( - 3)}[/tex]
Multiply
[tex] \sf{ = - 6 - ( - 12)}[/tex]
When there is a ( - ) in front of a parentheses, change the sign
[tex] \sf{ = - 6 + 12}[/tex]
Calculate
[tex] \sf{ = 6}[/tex]
Hope I helped!
Best regards!!
Use inverse operations to complete the second equation each time
Answer:
a) 55-42=13
b) 29-10=19
c) 65÷5=13
d) 72÷8=9
In your gym class, your teacher can create teams of 4 for a relay race and have no students left over.The next day, your teacher creates teams of 5 for dodge ball and has no students left over. What are some possible numbers of students in your class
Answer: 20,40,60,80,100
Step-by-step explanation:
The possible numbers has be the multiples of 5 and 4 in other words the LCM.
The LCM of 5 and 4 are,
20,40,60, 80,100 ....
Is 9.56556556... rational or irrational explain
Answer: Irrational
Step-by-step explanation:
It cannot be expressed as a ratio of two integers
Answer: Irrational
Step-by-step explanation: Irrational numbers are real numbers that, when expressed as a decimal, go on forever after the decimal and never repeat. Irrational numbers are numbers that cannot be expressed as the ratio of two whole numbers. ... When expressed as a decimal, irrational numbers go on forever after the decimal point and never repeat.
Hope this helps^^
Line segment is a_____
of a line with two end points
Answer:
A line segment is a segment of a line with two endpoints
Step-by-step explanation:
A line segment is the distance between two endpoints. Lines by definition are infinite so a portion of a line is a line segment.
An amoeba divides to form two amoebas after one hour. One hour later, each of the two
amoebas divides to form two more. Every hour, each amoeba divides to form two more.
1. How many amoebas are there after 1 hour?
2. How many amoebas are there after 2 hours?
3. Write an expression for the number of amoebas after 6 hours.
Step-by-step explanation:
Given that the number of amoeba is 1
in 1 hour it divides to form 2
1 hour later (2 hours): 1 amoeba(forms 2), 1 amoeba(forms 2)= 4
1 hour again(3 hours): 1=2,1=2,1=2,1=2 hence a total of 8 after 3 hours
Question and answers
1. How many amoebas are there after 1 hour
=2 amoebas
2. How many amoebas are there after 2 hours
=4 amoebas
3. Write an expression for the number of amoebas after 6 hours.
let the number of amoeba be y, and the time be n
so in 6 hours n= 6
[tex]y=2^n[/tex]
[tex]y= 2^6\\\\y= 64 amoebas[/tex]
y = 4x2 - 16 has how many real roots?
A. 0
B. cannot be determined
C.1
D.2
Answer:
2 real roots
Step-by-step explanation:
y = 4x2 - 16
Set equal to zero
0 = 4x2 - 16
Add 16 to each side
16 = 4x^2
Divide by 4
16/4 = 4x^2/4
4 = x^2
Take the square root of each side
sqrt(4) = sqrt(x^2)
±2 =x
There are 2 real roots
LAST QUESTION -4/5 divided by (-7/6)
Answer:
24/35
Step-by-step explanation:
(I posted an explanation on your previous question explaining how to do these problems. You can go read that if you want because my explanation applies to any question in this concept.)
In a class of students, the following data table summarizes the gender of the students
and whether they have an A in the class. What is the probability that a student who
has an A is a female?
Answer:
5/13
Step-by-step explanation:
number of female students who have an A: 5
total number of female students: 13
The probability that a student who has an A is a female is 3/8
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
What is chain rule in probability?For two events A and B, by chain rule, we have:
[tex]P(A \cap B) = P(B)P(A|B) = P(A)P(B|A)[/tex]
where P(A|B) is probability of occurrence of A given that B already occurred.
We're specified a frequency table as:
Female Male
Has an A 3 5
Does not have an A 8 13
We want to get P(Student is female if its given that student has an A).
Symbolically, we need P(Female | Has an A).
P(Student is female | Student has an A) = P(Student is female ∩ Student has an A) / P(Student has an A)
Now, P(Student is female ∩ Student has an A) = n(Student is female∩ Student has an A) / n(all type of students) = 3/(3+5+8+13) = 3/29
Also, P(Has an A) = n(has an A)/ n (All type of students) = n(has an A)/29
Since n(has an A) = number of students having A = females having A + males having A = 3+5 = 8
Thus, P(Has an A) = 8/29
Thus, we get:
P(Female | Has an A) = P(Female ∩ Has an A) / P(Has an A) = [tex]\dfrac{3/29}{8/29} = \dfrac{3}{8}[/tex]
Thus, the probability that a student who has an A is a female is 3/8
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Does x=-3 fall on the interval [-1, ♾)? Yes or no and why:
Answer:
Yes
Step-by-step explanation:
All numbers between 1 and 6 are intervals
Marc mows lawns for $25 each lawn, plus $5 for every hour he spends mowing. The equation for his total earnings per lawn is y = 25 + 5h, where y represents his total earnings and h represents the number of hours he works. What does the flat pay of $25 represent in this situation? Dependent variable Independent variable Intercept Slope
Answer:
The flat pay $25 represents the interceptStep-by-step explanation:
To answer this question we need to first understand and compare it with the equation of straight line.
i.e [tex]y= mx+c[/tex] which is the equation of line
where m= slope
y= dependent variable
x= independent variable
c= intercept
Given
[tex]y= 25+5h[/tex]
comparing both expression we can see that
25 corresponds to c which is the intercept
The flat pays $25 represent the intercept.
Given that,
Marc mows lawns for $25 each lawn, plus $5 for every hour he spends mowing. The equation for his total earnings per lawn is y = 25 + 5h, where y represents his total earnings and h represents the number of hours he works.Based on the above information, the calculation is as follows:
y = mx + c
where m= slope
y= dependent variable
x= independent variable
c= intercept
And,
y = 25 + 5h
So it is an intercept
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If a is an arbitrary nonzero constant, what happens to a/b as b approaches 0
Answer:
a/b tends to an infinite value
Step-by-step explanation:
If If a is an arbitrary nonzero constant, and we are to look for a/b as b approaches zero, we can represent this statement using limits. The statement is expressed as:
[tex]\lim_{b \to 0} \dfrac{a}{b}[/tex]
Substituting b = 0 into the function
[tex]= \dfrac{a}{0} \\\\= \infty \\\\\lim_{b \to 0} \dfrac{a}{b} = \infty\\ \\\\[/tex]
Since the limits of a tends to infinity as b tends to zero hence we can conclude that If a is an arbitrary nonzero constant then a/b tends to infinity or is undefined as b approaches 0