Answer:
The conjugate is 2+5i and the product is 29.
Step-by-step explanation:
The conjugate of a complex number [tex]a+bi[/tex] is [tex]a-bi[/tex]
Our complex number is 2-5i.
Here, a = 2 and b = -5
Thus, the conjugate of 2-5i is
[tex]2-(-5i)=2+5i[/tex]
Using this rule:
[tex](a+b)(a-b)=a^{2}-b^{2}[/tex]
And the fact that [tex]i^{2} = -1[/tex]
We can find the product of any complex number and its conjugate:
[tex](a+bi)(a-bi)=a^{2} - (bi)^{2}=a^{2} - b^{2} i^{2} = a^{2} + b^{2}[/tex]
As our complex number is [tex]2-5i[/tex], the product with its conjugate will be
[tex]2^{2} + (-5)^{2} =4+25=29[/tex]
2) A furlong is 1/8 of a mile. What part of a mile is 4 furlongs?
Answer:
1/2 mile
Step-by-step explanation:
(1/8)*4 = 1/2 mile
Answer:
4/8 or 1/2
Step-by-step explanation:
becuase 4 times 1/8 is 4/8 which is 1/2
Any help will be nice...Dont answer for points >:( Correct equations for vertical line (7.5pt) Correct equations for horizontal lines (7.5pt) 1. In many cities and towns across the United States, the numbering system of the roads is based on a grid, similar to the latitude and longitude lines on a globe. Suppose the green lines in the following graph represent two east-west and two north-south running roads in a Midwestern town.
Answer:
See below.
Step-by-step explanation:
Horizontal lines have the equation:
[tex]y=n[/tex]
Where n is the value the horizontal line stays on.
Vertical lines have the equation:
[tex]x=n[/tex]
Where n is the value the vertical line stays on.
For the two north-south lines, one of them stays on -5 and the other stays on 8. Therefore, the two vertical line equations are:
[tex]x=-5 \text{ and } x=8[/tex]
For the two east-west lines, one of them stays on -7 and the other stays on 4.
Therefore, the two horizontal line equations are:
[tex]y=-7 \text{ and } y=4[/tex]
5.4(m-2)= -2(3m+3) please help asap
Answer:
m = 0.421
Step-by-step explanation:
5.4(m-2)= -2(3m+3) (expand parentheses by distributive property)
m(5.4) -2(5.4) = 3m(-2) + 3(-2)
5.4m - 10.8 = -6m - 6 (add 6m to both sides)
5.4m - 10.8 + 6m = - 6
11.4m - 10.8 = - 6 (add 10.8 to both sides)
11.4m = -6 + 10.8
11.4m = 4.8 (divide both sides by 11.4)
m = 4.8 / 11.4
m = 0.421
Answer:
m = 8/19
Step-by-step explanation :
5.4 (m-2) = -2 (3m +3)
54/10 (m-2) = (3m +3) as n = 1
2.3^3 / 2.5 (m-2) = (3m + 3)
4.868 (m-2) = (3m +3)
4.868 + 3 = (3m^2 * m-2)
8 / 9.5 * 2
m = 8 / 19
Which statements could he include in his explanation? Select two options.
The domain of both functions is all real numbers.
The domain of f(x) is x > 5.
The domain of g(x) is x > 5.
The range of f(x) is y > 0.
The range of g(x) is y > 0.
Answer:
The domain of fx is x>5
The domain of gx is x>5
The statements could he include in his explanation are
a. The domain of fx is x>5.
b. The domain of gx is x>5.
What is the function?A function is defined as a relationship between a set of inputs and a single output. A function is an input-output relationship in which each input corresponds to exactly one output.
A function is a sort of rule that generates a single output for a single input. The image was given by Alex Federspiel. A good example is y=x2. You will only get one output for y if you enter anything for x. We can say that y is a function of x because x represents the input value.
Both functions are real numbers, so, f(x) is x > 5 and g(x) is x > 5 will be correct.
Therefore, the correct options are, a. The domain of fx is x>5 and b. The domain of gx is x>5.
To learn more about the function, refer to the link:
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What is the solution of the inequality shown
below?
y+7<-1
Answer:
y<-8
Step-by-step explanation:
y<-1 - 7
y<-8
Answer:
y < -8
Step-by-step explanation:
To solve an inequality, we must get the variable, y, isolated on one side of the inequality.
[tex]y+7 < -1[/tex]
7 is being added to the variable, y. The inverse of addition is subtraction. Subtract 7 from both sides of the inequality.
[tex]y+7-7< -1-7[/tex]
[tex]y < -1-7[/tex]
[tex]y < -8[/tex]
The solution to the inequality is: y< -8
you move left 2 units and right 9 units. you end at (4,5). where did you start?
Answer:
You started at ( -3,5)
Step-by-step explanation:
You end at (4,5)
You got there by moving right 9 units so move left 9 units
Moving left is subtraction in the x direction
(4-9,5)
( -5,5)
Then move left 2 units so move right 2 units which is adding 2 in the x direction
( -5+2, 5)
( -3,5)
You started at ( -3,5)
-10y^2 - 3y - (5y - 8y^2) combined like terms
Answer:
-2y(y + 4)
Step-by-step explanation:
-10y^2 - 3y - (5y - 8y^2)
= -10y^2 - 3y - 5y + 8y^2
= -2y^2 - 8y
= -2y(y + 4)
în 2017, the Pew Research Center published the results of a survey on gun ownership. A random sample of 3930 American
adults aged 18 years and older participated in this survey. Of these 3930 individuals, 1269 individuals reported that they
owned at least one gun. Of these self-reported gun owners, 850 said the reason they owned a gun was for protection. Based on
this information, determine the sample proportion, p, of gun owners from this survey who own a gun for protection.
(Use decimal notation. Give your answer to three decimal places.)
Answer:
The sample proportion, p, of gun owners who own gun for protection is 0.67
Step-by-step explanation:
The information given are;
The sample size = 3930
The number of individuals who reported that they owned guns at least on gun = 1269
The number of the self reported gun owners that said the reason they owned gun for protection = 850
The sample proportion, p, of gun owners who own gun for protection is given as follows;
p = (The number of the self reported gun owners that said the reason they owned gun for protection )/(The number of individuals who reported that they owned guns at least on gun)
p = 850/1269 = 0.6698 ≈ 0.670 (to three decimal places)
Therefore, the sample proportion, p, of gun owners who own gun for protection = 0.67.
The steepness or grade of a road is expressed as a percent. if a road rises 6feet for every 24 horizontal feet. What is the slope of the road? what percent grade is this ?
Answer:
25%
Step-by-step explanation:
The ratio of rise to run is ...
rise/run = 6 ft/24 ft = 1/4
Expressed as a percentage, this is ...
1/4 × 100% = 25%
_____
Comment on this grade
Interstate highways are limited to a 7% grade. Most local jurisdictions limit the grade of a road to somewhere between 12% and 15%.
A diver dives 17 2/3 yards and then comes back to the surface. Then, she dives 9 3/8 yards deeper than her first dive. What is her depth, in yards, in relation to the surface of the water?
(giving the points this website is allowed to give me)
The total depth covered by the diver is 27(1/24) yards.
What is yard?Yard is a unit to measure length. 1 yard is equal to 36 inches.
1 yard= 3 feet or (0.9144 meter)
What is
Given that,
First time depth reached by diver = 17(2/3) yards
In the second time, the depth reached by the diver is 9(3/8) yards more than the first time,
To find total depth,
Add depth covered by first time and second time,
Total depth = 17(2/3)+9(3/8)
=53/3+75/8
= 27(1/24)
The total depth covered by the diver is 27(1/24) yards.
To know more about Yard on
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In △ABC, AB = BC = 20 and DE ≈ 9.28. Approximate BD. (made a second one since trollers ruined my last one :/ )
Answer:
approximately 5.36
Step-by-step explanation
20 - 9.28 = 10.72
BD = EC
10.72/2 = 5.36
George is designing ledges for the octagonal ( 8 side ) gazebo. All sides are equal length, and each ledge much be 18 inches shorter then the sides.
a: what is the minimum length of wood he should purchase if the perimeter of the gazebo is 64 feet ?
b : what as your solution process
Answer:
78 inches or 174 inches (see explanation)
Step-by-step explanation:
If the perimeter is 64 feet, that means that each side is 8 feet, since there are 8 sides (64/8=8). 8 feet is 96 inches (8*12=96). 96-18=78, so the minimum length of wood he needs for the ledges is 78 inches, assuming you're not counting the wood for the perimeter, too (in which case it would be 174 inches) (78+96=174). Hope this helps!
PLEASE HELP!!!!! I BEG OF EVERYONE. FIRST CORRECT WILL GET BRALIEST!!!!!!! How far have I travelled if I biked at 10mph for hhrs, I walked at 3mph for twice as long as I biked, and ran at 10mph for one quarter as long as I walked?
Answer:
32 miles/4 hours.
Step-by-step explanation:
ASAP At a store you have the option to buy a 12 pack of pop for $5 or a 8 pack for $3. Which is the better deal? 12 pack 8 pack. And can u pls explain how u got the answer
Answer:
The 8 pack is the better deal.
Step-by-step explanation:
To get the answer you do the following:
Find the price of one pack for each;
1/12*5= $0.42( cost of one pack for the 12 pack part)
1/8*3= $0.38( cost of one pack for the 8 pack part)
The answer is that the 8 pack is cheaper .
Vertex Form y=a(x-h)^2+k what does each variable represent if they were in a problem.
Help plz, thx urgent
Answers:
5. Quadrilateral
6. Rhombus
7. Rectangle
8. Parallelogram
=============================
Explanations:
5. We don't know much about this other than it has 4 sides, so we simply say it is a quadrilateral. Quad = 4, lateral = side
-----------
6. The four sides are the same length as shown by the similar tickmarks. Therefore we have a rhombus. A rhombus is any quadrilateral with four equal sides. A square is a special type of rhombus, though in this case it appears to be a non-square type of rhombus, as the angles are not 90 degrees.
-----------
7. A rectangle has 4 angles that are all 90 degrees. Visually the tiny little square angle marker tells the reader we have a 90 degree angle.
-----------
8. We have a parallelogram here because the opposite sides are the same length. In addition, the opposite angles are the same measure. Through using the SSS congruence rule, we can do a bit of work to show that the alternate interior angles are congruent, leading to the opposite sides being parallel. So in short, the given info here is enough to prove we have opposite sides being parallel which is what makes a parallelogram possible.
Which is a Qualitative graph?
Answer:
No qualitative graph shown here.
Step-by-step explanation:
No qualititative graph is shown here. The given graph is quantitative, as it involves numerical measures.
Answer:
qualitative graph are graph that are used to represent situation that do not necessarily have numerial value it repressent the essential elements of a situation in a graphical form
Find the volume. Show work plz
Answer:
196π or 615.75 m^3 to the nearest hundredth.
Step-by-step explanation:
This is a cone, so:
Volume = 1/3 π r^2 h
= 1/3 * π * 14^2 * 3
= 196π m^3.
i’ll mark you brainliest, please show work!!
Answer:
width = 10
length = 2 (10) + 7 = 27
Step 1:
If the perimeter was 74 inches, then that means one side of the width and one side of the length added together is 1/2 of 74, which is 37.
Step 2:
We can solve this by using this equation:
2w + 7 + w = 37
Then, we subtract 7 from both sides, since in the passage, it states that the length is 7 more than twice the width.
2w + w = 30
Add the w's together:
3w = 30
And then divide both sides by 3 to get:
w = 10
Step 3:
Now, we can plug in w into our equation to solve for the width and length.
width = 10
length = 2 (10) + 7 = 27
_____2w+7_____
| | w
--------------------------
Use the drawing tool(s) to form the correct answer on the provided number line.
Will brought a 144-ounce cooler filled with water to soccer practice. He used 16 ounces from the cooler to fill his water bottle. He then took
out 16 plastic cups for his teammates and put the same amount of water in each cup.
Answer:
Kindly see explanation
Step-by-step explanation:
Given the following :
Amount of water in cooler = 144 ounces
Size of Will's water bottle = 16 ounces
Therefore, the amount of water left after filling his water bottle :
144 ounces - 16 ounces = 128 ounces of water.
The 128 ounces left was used to equally fill 16 plastic cups :
Therefore the number of ounces of water put in each cup equals :
(128 ounces ÷ 16 cups) = 8 ounces.
The maximum number of ounces of water will could have put in each cup is 8 ounces
Thus (0 < x ≤ 8)
See graph below
- The water rate for Columbus Ohio
is $1.98 per 750 gallons of water.
What is the water bill for a resident
who used 27,000 gallons?
Divide total amount used by the amount in the rate:
27,000 / 750 = 36
Multiply that number by the rate:
36 x 1.98 = 71.28
The bill is $71.28
In the following diagram CDFG ~ HJLK. use this information to find the value x.
Answer:
x=2.25
Step-by-step explanation:
4x=3 x 3
this is just a personal question if i have 47 assignments to do and i have to finish by the 20th of august how many do i need to do a day
Answer:
Hey there!
Today is August 7th, 2020.
Thus, August 20th is in 13 days.
If you have 47 assignments, you would have to do 3-4 a day to finish on time.
Hope this helps :) And good luck with your assignments.
Answer:
You have to do about 3 and a half assements a day.
Step-by-step explanation:
Just do 47 divides by 20 but since it is the 7th do 47 divides by 13
Have a nice day!
Find the distance between the points X and Y shown. Question 5 options: A. 29−−√ B. 21−−√ C. 21 D. 5–√
Answer:
A
Step-by-step explanation:
From the graph we can notice that the coordinates of the poinrs x and y are:
● x(-2,0)
● y(3,-2)
There are many methods to find the distance between x and y. We will use the distance formula.
Let d be the distance between x and y.
● d = √[(-2-3)^2 + (0-(-2))^2]
● d = √[(-5)^2 + 2^2]
● d = √(25+ 4)
● d = √(29)
The other method was using the pythagorian theorem. d is the hypotenus.
Which of the following is true? three and two fifths plus four and two sevenths equals seven and four twelves two and five eighths plus six and one sixth equals eight and six twenty fourths four and eight tenths plus five and two sixths equals ten and eight sixtieths six and seven twelves plus three and nineteen twenty fourths equals nine and nine twenty fourths
Answer: The answer is c
Step-by-step explanation:
Order matters in a combination.
True
False
Answer:
False
Step-by-step explanation:
So, in Mathematics we use more precise language: When the order doesn't matter, it is a Combination. When the order does matter it is a Permutation.
What is the volume of the right triangular prism shown?
Answer:
C. 567yd^3
Step-by-step explanation:
To find the volume of the right triangular prism, it is: 1/2a c h.
In this case, 1/2✖️9✖️6✖️21=567yd^3
So this means that option C is the correct answer.
Hope this helps!
Have a nice day:)
Answer:
567 cu. yard
Step-by-step explanation:
will make it simple and short.
Vol = area of a triangle x length
Vol = (1/2 * 6 * 9 ) * 21
Vol = 567 cu. yard
A teacher took a group of 48 students to the movie theater. They have saved $353 in a fund for the students' tickets. How much money will they have left in the fund if the ticket for each student was $7
Answer:
$17
Step-by-step explanation:
If each ticket is $7 and there are 48 student multiply 7 and 48 to see how much the tickets were in total (336)
Now subtract 353 and 336 to see how much money is left (17)
Answer: -17?
Step-by-step explanation:
because 7*48= 336
then you would do 336-353= -17
which gave me the answer of -17
What is the Mean Absolute Deviation?
Mean Absolute Deviation (MAD) is found through the following steps
1) Find the mean. We add up the values and divide by the number of items.
2) Subtract each value from the mean and apply absolute value to ensure the result is not negative. This tells us how far each value is from the mean. Call these sets of distances set D.
3) Find the mean of set D, using the idea talked about in step 1. This will produce the MAD.
Please help me with this geometry question:((
Answer:
a.ans=(1,3)
b.ans=(1,2,3,4,5,6,7,9,11,12)
c.ans=(1,3,5,7,9,11)
Step-by-step explanation:
Between A and C (1,3) are common.So it is the intersection.
(1,2,3,4,5,6,7,9,11,12) are all the number belongs to set A and set C.So it is called the union of both sets.
C denotes the complement and the number except set b belong to the complement.
