Simplify the given expression below: (2 points) 2 divided by the quantity of 2 plus 5i
Answer: The given expression "2 divided by the quantity of 2 plus 5i" can be translated as 2/(2+5i). Simplifying expressions aim is to simplify it into its simplest form. Since i = √-1 substitute it into the expression.
2/(2+5√-1)
then multiply it by 2-5√-1 on the numerator and denominator and we have
[2(2 - 5√-1)] / [4 - 25(1)]
(4-10√-1)/(-21)
Answer:7
Step-by-step explanation:
-x + y = 2
3х – 5у = -4
solve the system of linear equation by substitution
Consider f(x)=2|x|
What is the rate of change over the interval 0≤x≤4?
How is the rate of change over this interval related to the form of the function?
Answer:
Please check the explanation.
Step-by-step explanation:
As we know that the average rate of change of f(x) in the closed
interval [a, b] is
[tex]\frac{f\left(b\right)-f\left(a\right)}{b-a}[/tex]
Given the interval [a, b] = [0, 4]
as
[tex]f(x)=2|x|[/tex]
[tex]f(b)=f(2)=2\cdot \:4[/tex] ∵ [tex]\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0[/tex]
[tex]= 8[/tex]
[tex]f(x)=2|x|[/tex]
[tex]f(a)=f(0)=2\cdot \:0[/tex] ∵ [tex]\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a,\:a\ge 0[/tex]
[tex]= 0[/tex]
so the average rate of change :
[tex]\frac{f\left(b\right)-f\left(a\right)}{b-a}=\frac{8-0}{4-0}[/tex]
[tex]=\frac{8}{4}[/tex]
[tex]= 2[/tex]
We know that a rate of change basically indicates how an output quantity changes relative to the change in the input quantity. Here, it is clear the value of y increase with the increase of input.
Please help me, but the answer choices are
A) 4/3 (11) pi
B) V=2/3 (11) pi
C) V=4/3 (11)
D) V=2/3 (11)
Answer:
B
Step-by-step explanation:
answer is B
and what is ypur grades
HELP I DONT UNDERSTAND. I WILL GIVE BRAINLIEST (foolish answers will be reported)
Answer:
A
Step-by-step explanation:
You start at (-3, 0). You move right 3 units and down 5 units. Where do you end?
Answer:
(0,-5)
Step-by-step explanation:
A prime number is an integer greater than 1 with exactly two different positive factors, 1 and the number itself. There are three children in a family. Each of their ages is a prime number. The sum of their ages is 41 and at least two of the children have ages that differ by 16. Determine all possibilities for the ages of the children.
Answer:
Hence,
a=19,b=19,c=3
a=11,b=7,c=23
Step-by-step explanation:
[tex]Let\ their\ ages\ be\ a,b\ and\ c\ respectively, where\ a,b,c\ are\ primes\\Hence,\\a+b+c=41\\b-c=16\\Listing\ out\ all\ the\ primes\ from\ 0\ to\ 41\ we\ get:\\2,3,5,7,11,13,17,19,23,29,31,37,\\Hence,\\Lets\ seperate\ out\ the\ primes\ who\ differ\ by\ 16 :\\3\ and\ 19, 7\ and\ 23\ ,[/tex]
Hence,
[tex]Lets\ consider\ this\ set\ as\ b,c:\\Hence,\\To\ find\ a \\a=41-(b+c)\\Hence, By\ doing\ this\ indiviually\ we\ get:\\[/tex]
[tex]a=41-(19+3)\\a=41-22\\a=19\\Hence, a=19,b=19,c=3[/tex]
[tex]a=41-(23+7)\\a=41-30\\a=11\\Hence, a=11,b=7,c=23[/tex]
The table below lists the scores for a game of cards in which the highest score wins. Players A, B, C, and D recorded their scores for each round, but they did not total the scores until the end of the game.
Rounds: 1 2 3 4 5 6 7 8
A 130 64 0 -14 -78 158 -68 50
B 72 97 13 -7 120 57 80 -37
C -26 45 109 -9 67 -56 105 0
D -47 54 126 0 -65 95 144 -6
If the game ends after 5 rounds, which answer choice correctly lists the order of the players from lowest score to highest score?
F. A, B, C, D
G. D, A, C, B
H. D, C, B, A
J. D, B, A, C
Answer:
D, A, C, B.
Step-by-step explanation:
The scores at the end of the 5th round are 102, 295, 186, and 68.
Find three consecutive integers where the sum of the first and the twice second is 5.
Answer:
1,2, and 3
Step-by-step explanation:
1+ (2*2) is equal to 5, so it has to be 1 and 2, and you can figure out that 3 goes after that.
Wich of the following lines is parellel to x=8
HELP ASAPPP!!! !!!! PLEASE
Answer:
B.
Step-by-step explanation:
for decimals, you start with tenths, so it would be thousandths
pls help me in this
[tex]A=\frac{3\sqrt{3}}{2}(8)^2=\boxed{96\sqrt{3} \text{ cm}^2}[/tex]
Mr. Gomez needs to rent a moving truck. Company "A" charges $75 plus a $50 a day and Company "B" charges $105 plus $35 a day. Write an equation that can tell after how many days would the price be the same.
Answer: 75+50x= 105+35x , required equation.
Step-by-step explanation:
Let x = Number of days
Given: Company "A" charges $75 plus a $50 a day.
Total charge = 75+50x
Company "B" charges $105 plus $35 a day.
Total charge = 105+35x
When both are same , equation becomes
75+50x= 105+35x
So, Required equation: 75+50x= 105+35x
Help please!! If you can't see the photo well just let me know <3
Answer: The second one and fourth one.
Step-by-step explanation: did this already and got it right :)
Why would the law of cosines be used to solve for b in the triangle below? SAS is given, and the unknown measure, b, is a side length. SSA is given, and the unknown measure, b, is a side length O 36° O 3.5 7 SSS is given, and the unknown measure, b, is an angle measure. ASA is given, and the unknown measure, b, is an angle measure. DONE b
Answer:
it's a
Step-by-step explanation:
its a on edge
Answer: A
Step-by-step explanation:
16) tan Ø
7C
6
Y
3
A)
B) -2
3
C)
داد
D)1
2
Answer:
:O
Step-by-step explanation:
6x + 21y = 103
-6x + 23y = 51
This week, 957 people went to the beach. Last week, 1,207 people went to the beach. The number of people who went to the beach fell by what percent? Use pencil and paper. Explain how you know whether the answer is greater than or less than 25%
Answer:
Less than 25%
Step-by-step explanation:
1. Find the difference of the two numbers: 1,207 - 957 = 250
decrease = original number - new number
2. Then, divide the decrease by the original number
250/1,207 = 0.207
3. Multiply the answer by 100 to get the percentage
0.207 x 100 = 20.7%
Therefore, the number of people fell by 20.7%
Hence, the answer is less than 25%
Step-by-step explanation:
What is the equation of a line, in general form, that passes through the point (1, -2) and has a slope of 1/3.
Answer:
weed
Step-by-step explanation:
cause yes, cause I said so :)
Find the area of the circle.
Answer:
Pie*radius*2 you did not give me the radius
Step-by-step explanation:
What does m represent in the equation y= mx + b?
none of these
the slope of the graph of
y = mx + b
the y-intercept of the
graph of y = mx + b
the run in the ratio
rise
run
[tex]y=mx+b[/tex]
where m is slope
and b is y-intercept
If z = 13 - 71, what is the value of z?
BE
O 6
O 2/30
218
O 20
Answer:
z=-58 bc 13-71= -58
Step-by-step explanation:
Question 1 of 5 Convert 48 inches to feet. There are 12 inches in a foot. O A. 480 feet O B. 576 feet O C. 4 feet O D. 8 feet
Answer:
C
Step-by-step explanation:
If you divide 48 by 12 you will get 4 and 4 is your answer
Plsss help mee :,) ill give brainlist
Answer:
3/5, 1, 8/5, 8
Step-by-step explanation:
Answer:
0, 35, 8/5, 8. I think
Step-by-step explanation:
hope this helps :3
im sorry if im wrong
Which figure shows a single ray
there are no figures shown.
Use inverse operations to solve: x + 3.2 = 7
Answer:
x=3.8
Step-by-step explanation:
You would use the inverse operation by subtracting 3.2 from both sides of the equation, leaving you with x=3.8
PLZZZZ HELPPPP THIS IS A TIMED TESTTT!!
DEFG has been dilated to D’E’F’G’. Use a pair of corresponding sides to determine the scale factor.
Answer:
2/3
Step-by-step explanation:
DEFG ~ D'E'F'G'
[tex]\frac{D'G'}{DG}[/tex] = [tex]\frac{2}{3}[/tex]
Please help 100 points!!! :)
Who ever answers right first get's brainliest!!! :)
Answer:
1/7
Step-by-step explanation:
1. Find the perfect square numbers between the following:
a. 26 and 55
Answer:
36 &49
Step-by-step explanation:
6²=36
7²=49
Answer:
36 ,49
Step-by-step explanation:
36 = 6 * 6 = 6²
49 = 7 * 7 = 7²
Please help me with this question please
Answer:
A
Step-by-step explanation: