What is the distance from the origin to point P graphed on the complex plane below?
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Related Questions
2. Choose all numbers that are RATIONAL. *
1. 0
2. 5/7
3. 3.6820350285........
4. -10
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Answer:
0, 5/7, and -10 are RATIONAL numbers ⇒ 1, 2, 4
Step-by-step explanation:
Rational number are the numbers can be written in the form of the fraction [tex]\frac{a}{b}[/tex] , b ≠ 0
Example:
5, -3, 5.2 , -10.567, [tex]2\frac{1}{3}[/tex] , [tex]\sqrt{64}[/tex] , [tex]-\sqrt{\frac{25}{4}}[/tex] , [tex]\frac{\sqrt[3]{8}}{5}[/tex] , .......5 can be written as [tex]\frac{5}{1}[/tex]-3 can be written as [tex]-\frac{3}{1}[/tex]5.2 can be written as [tex]\frac{52}{10}[/tex]-10.567 can be written as [tex]-\frac{10567}{1000}[/tex][tex]2\frac{1}{3}[/tex] can be written as [tex]\frac{7}{3}[/tex][tex]\sqrt{64}[/tex] can be written as [tex]\frac{8}{1}[/tex][tex]-\sqrt{\frac{25}{4}}[/tex] can be written as [tex]-\frac{5}{2}[/tex] [tex]\frac{\sqrt[3]{8}}{5}[/tex] can be written as [tex]\frac{2}{5}[/tex]All the numbers above are rational numbers
Let us find the rational numbers in our question
∵ 0 can be written as [tex]\frac{0}{1}[/tex]
∴ 0 is a rational number
∵ [tex]\frac{5}{7}[/tex] is a fraction
∴ [tex]\frac{5}{7}[/tex] is a rational number
∵ 3.6820350285........ can not be written in the form of the fraction
because we do not know its end (it is an approximated number)
∴ 3.6820350285........ is not a rational number
∵ -10 can be written as [tex]-\frac{10}{1}[/tex]
∴ -10 is a rational number
∴ 0, 5/7, and -10 are RATIONAL numbers
If A is the least common multiple of 12, 24, and 36, and B
is the lowest prime number, what is the sum of A and B ?
F.
3
G.
4
H.
73
J.
74
K.
145
Answers
Answer:
74
Step-by-step explanation:
A= Least common multiple of 12,24,36
Factors of 12 = 2*2*3
Factors of 24 = 2*2*2*3
Factors of 36 = 2*2*3*3
A = 2*2*2*3*3 = 72
B = Lowest prime number = 2
A+B = 72+2 = 74
A ball is thrown from the top row of seats in a stadium. The function h(t) = −16t2 + 64t + 80 gives the height, h, in feet, of the ball t seconds after it is thrown. How long will it be before the ball hits the ground?
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Answer:
Step-by-step explanation:
Given the height of the ball expressed as:
h(t) = −16t^2 + 64t + 80
The ball hits the ground the when h(t) = 0
Substitute h(t) = 0 and find t as shown:
h(t) = −16t^2 + 64t + 80
0 = −16t^2 + 64t + 80
−16t^2 + 64t + 80 = 0
Divide throigh by -16
t^2-4t-5 = 0
t^2-5t+t-5 = 0
t(t-5)+1(t-5) = 0
(t+1)(t-5)= 0
t+1 = 0 and t - 5 = 0
t = -1 and t = 5
time can not be negative:
t = 5seconds
Hence it will take 5 secs before the ball his the ground
Solving a quadratic equation, it is found that the ball hits the ground after 5 seconds.
The height of a ball after t seconds is given by:
[tex]h(t) = -16t^2 + 64t + 80[/tex]
It hits the ground at the values of t for which:
[tex]h(t) = 0[/tex]
Then
[tex]-16t^2 + 64t + 80 = 0[/tex]
Simplifying by -16:
[tex]t^2 - 4t - 5 = 0[/tex]
Which is a quadratic equation with coefficients [tex]a = 1, b = -4, c = -5[/tex].
Then:
[tex]\Delta = (-4)^2 - 4(1)(-5) = 36[/tex]
[tex]x_{1} = \frac{-(-4) + \sqrt{36}}{2} = 5[/tex]
[tex]x_{2} = \frac{-(-4) - \sqrt{36}}{2} = -1[/tex]
We want the positive value, thus, the ball hits the ground after 5 seconds.
A similar problem is given at https://brainly.com/question/24764843
Consider the diagram.
What is the length of segment AB?
A) 7
B) 9
C) 18
D) 25
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Answer:
the answer is 9
Step-by-step explanation:
Answer: the correct answer is 9!!!!!
what is 1x7791789x79188037891883+8904781982994
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Answer:
6.17016491E20
Step-by-step explanation:
This is wild but it’s what my calculator says
The neighborhood swimming pool drains at a rate of 99 gallons every 3 hours. At this rate, how many gallons are
emptied each hour?
Helllllpppppp meeee
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Answer:
33mph
Step-by-step explanation:
because if u divide 99 by 3 that is the answer
The mean of 7 numbers is 29. What is the total of the 7 numbers
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Answer:
203
Step-by-step explanation:
Multiply the mean by the amount of numbers (7).
If the absolute value of x is 4, what is the value of x?
A) -16 or 16
B) -4
C) -4 or 4
D) 4
Answers
the correct answer is option C) - 4 or 4.
If the absolute value of x is 4,
| x | = 4
it means that x can be either positive or negative, but its distance from zero is 4 units.
This indicates that x can be 4 units to the right of zero or 4 units to the left of zero.
x = ± 4
Therefore, the possible values of x are - 4 and 4.
Thus, the correct answer is option C) - 4 or 4.
Both - 4 and 4 have an absolute value of 4, fulfilling the condition specified in the problem statement.
Learn more about absolute value here
https://brainly.com/question/17360689
#SPJ6
Find the midpoint of the segment with the following endpoints.
(3,0) and (0, –8)
Answers
Point 2 ( XB , YB) = (0 , -8 )
Solution :
Midpoint ( XM, YM)
= ( XA + XB/2 , YA + Y1/2 )
= ( 3+0/2 , 0-8/2)
= ( 3/2 , -4 )
= ( 1.5 , -4 )
Midpoint of a line segment:
(XM , YM ) = ( 1.5 , -4 )
THE ANSWER IS: 1.5 , -4 ✅
frst to answer this gets brainliest!!!!
1. 641 divided by 43
2. 4684 divided by 27
3. 6455 divided by 64
Answers
Answer:
1. 14.91
2. 173.48
3.100.86
Step-by-step explanation:
all the answers are rounded to the nearest hundredth place, i believe.
mariain buys a dress that costs 32 dollars she pays 10 percent sales tax
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Answer:
the total cost would be $45.2
I need help in math please I am not able to figure these out, I will give you the brainlest and thank you.
Answers
Answer:
A. -7 A2. -7
B.-14 B2. 2
C.-14 C2.14
D. 1 D2. -7
9514 1404 393
Answer:
a. -7, -7
b. -14, 2
c. -14, -14
d. 1, -1
e. misuse of the associative property leads to different results
Step-by-step explanation:
Your calculator (or a spreadsheet) can figure these easily.
a. -12 +(-4 +9) = 12 +5 = -7
(-12 +(-4)) +9 = -16 +9 = -7
__
b. (14 -20) -8 = -6 -8 = -14
14 -(20 -8) = 14 -12 = 2
__
c. (14 +(-20)) +(-8) = -6 -8 = -14
14 +(-20 +(-8)) = 14 +(-28) = -14
__
d. -1 -(-1 +(-1)) = -1 -(-2) = -1 +2 = 1
(-1 -(-1)) +(-1) = (-1+1) -1 = 0 -1 = -1
__
e. The associative property works for addition. When the associative property is used to rearrange subtraction problems, the minus signs need to be kept with the numbers, as in (c). That is, the problem needs to be expressed as a sum of signed numbers.
In (d), the term -(-1 +(-1)) was broken in the middle when the sum was rearranged for the second expression. Only terms in the same level of parentheses can be rearranged by the associative property.
which expression is modeled by this arrangement of tiles?
O -16÷3
O -16÷2
O -8÷8
O -8÷2
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Answer:
the second option
Step-by-step explanation:
hope this helps
On a family road trip, Mr. Peters travels 130
miles in 2 hours. At this rate, how many miles
will he travel in 7 hours?
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PLEASE HELP!!!
There are 800 students who attend Park Middle School. There are 1.5 times as many boys as there are girls. Assign variables to the unknowns.
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X is boys
And y are girls
Solve the equation for g:
3f+2g = 7h
Will give 69 pts
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Answer:
Step-by-step explanation:
2g=7h-3f
g=[tex]\frac{7h-3f}{2}[/tex]
Answer:
g= [tex]g=\frac{7}{2}h- \frac{3}{2}f[/tex], f∈R, h∈R
Step-by-step explanation:
3f+2g=7h
2g=7h-3f
g=[tex]\frac{7}{2}h - \frac{3}{2} f[/tex]
Rick has 10 more crayons than Lori. Lori has 136 crayons. Tom has 10 fewer crayons than Rick. How many crayons does each child have?
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Step-by-step explanation: Uh if Lori has 136 crayons. And rick has 10 more than her He would have 146 And tom has 10 fewer crayons than rick so he would have 136
Lori:136
Rick:146
Tom:136
And idk if u need this or not but if u want it all together it would be: 418
Hope this helps!)
Rick has 146 crayons, Lori has 136 crayons and Tom has 136 crayons'
Let the number of crayons Rick have be x
Let the number of crayons Lori has be y
Let the number of crayons tom has be z
If Rick has 10 more crayons than Lori, then;
x = 10 + y
Since Lori has 136 crayons, hence y = 136
x = 10 + 136
x = 146
If Tom has 10 fewer crayons than Rick, then;
z = x - 10
z = 146 - 10
z = 136
Hence rick has 146 crayons, Lori has 136 crayons and Tom has 136 crayons'
Learn more here: https://brainly.com/question/2192597
what is the population of A politician is interested in the proportion of voters in his district who think he is doing a good job. Define the following in terms of the study. Give examples where appropriate.
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Answer:
lovely peachlings
Step-by-step explanation:
if 6 pounds of apples cost $9, how much would 21 apples cost?
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Explanation:
You can do 6+6 3 time and that equals 27 dollars, and you have one more so 9 divided by 2 is 4.5 so if you add that you get 31.5
Please help It’s already due
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Answer:
90
Step-by-step explanation:
the total interior angles of a triangle measure to 180 degrees.
55 + 35 = 90
180-90=90
1. What is the value of 125 - 34 + 7 x 3?
a.) 294
c. 112
b. 252
d. 70
Answers
Answer:
c
Step-by-step explanation
7x3=21
125-34=91
91+21=112
Bob is hiking down a 12-mile country trail. He could hike at 3 mph for the first two hours and then go the rest of the way at 5 mph or he could just go the whole way at 4 mph. How long would each of these options take? Which option is the faster?
Answer:
The first option would take:
The second option would take:
The faster option is the:
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Answer: The first option would take: 3.2 hr
The second option would take: 3 hr
The faster option is the: second
Step-by-step explanation:
Answer:
Below in bold.
Step-by-step explanation:
Speed = distance / time.
First option:
Walking at 3mph for 2 hours will give 2*3 = 6 miles.
So for 6 miles travelling at 5 mph he will take 6/5 = 1.2 hours.
Total time = 3.2 hours.
Second option:
Walking for 12 miles at 4 mph will take him 12/4 = 3 hours.
The fastest option is the second one.
you just purchased a new hooded sweatshirt for $24. the total cleaning cost is $2 total because it will be washed with other sweatshirts. you will wear the sweatshirt 18 times this winter. calculate the cost per wearing.
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Answer:
Step-by-step explanation:
espera y termino y te ayudo vale que me falta poco vale
Evaluate the following functions at x = 10
g(x)=√(x+1)
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g(x)=√(x+1)
Let's plug 10 in for x
g(10) = √(10+1)
Simplify the exponents
g(10) = √(11)
This is the exact form but it can also be expressed as a decimal.
√(11) = 3.31662479
You can simplify as needed
Answer:
3.316
Step-by-step explanation:
Given X=10
Evaluating,
√(10+1)
=√11
=3.316
A young reptile is 0.6 foot long. An adult reptile is 19.5 times as long. How many feet longer is the adult reptile than the young reptile?
Answers
11.7ft-0.6ft = 11.1 ft
answer is 11.1 ft longer
Information was collected on those who attended the opening of a new movie. The analysis found that 56 percent of the moviegoers were female, 26 percent were under age 25, and 17 percent were females under the age of 25. Find the probability that a moviegoer is either female or under age 25.
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Answer:
65
Step-by-step explanation:
Last week, Tanya had $43 in her checking
account. She deposited $50 and wrote a check
for $92. How much money is left in her account?
Answers
Answer:
She would have $1 left in her account.
Step-by-step explanation:
43 + 50 = 93
93 - 92 = 1
Hope this helps..?
Answer:
$1
Step-by-step explanation:
We start off with $43.
Tanya deposits $50 to her account.
50+43=93.
She has $93 now.
She writes a check for $92.
93-92=1.
Man, Tanya is broke no cap.
PLEASE HELP BEFORE 4 PM!!!
1. 641 divided by 43
2. 4684 divided by 27
3. 6455 divided by 64
Answers
Answer:
1. Its about 14.90697674418605. I’m not sure if u want it rounded up if u want it rounded up to the nearest whole it would be 15 if I wanted it rounded up to the nearest tenth then it would be 14.9
2. It’s about 173.4814814814815. I wasn’t sure if I wanted this one rounded up too. Rounded up to the nearest whole it would be 173 and rounded up to the nearest tenth it would be 173.5
3. It’s about 100.859375. I wasn’t sure on this one too. Rounded up to the nearest whole would be 101 and rounded up to the nearest tenth it would be 100.9
Step-by-step explanation:
find the value of x
The answer is 150.
I need to show my work.
THANKSSSS
Answers
Answer:
x = 150
Step-by-step explanation:
We know a circle is 360°, so the angles must add up to 60°.
Step 1: Set up equation
x - 120 + x - 120 = 60
Step 2: Solve for x
Combine like terms: 2x - 240 = 60Add 240 on both sides: 2x = 300Divide both sides by 2: x = 150Step 3: Check
Plug in x to verify it is correct.
150 - 120 = 30°
150 - 120 = 30°
30° + 30° = 60°
60° + 300° = 360°
What are the terms on the expression 2x-4y+8