Drag the labels to the correct locations. Each label can be used more than once, but not all labels will be used.
Simplify the expression by rewriting it as a complex number in the standard form a+bi
Given:
The expression is
[tex]\sqrt{64}+\sqrt{-144}[/tex]
Rewriting it as a complex number in the standard form a+bi.
To find:
The missing values in the given simplification.
Solution:
We have,
[tex]\sqrt{64}+\sqrt{-144}[/tex]
It can be written as
[tex]\sqrt{64}+\sqrt{-144}=\sqrt{8^2}+\sqrt{-1\cdot 12^2}[/tex]
[tex]\sqrt{64}+\sqrt{-144}=\sqrt{8^2}+\sqrt{-1}\cdot \sqrt{12^2}[/tex]
[tex]\sqrt{64}+\sqrt{-144}=\sqrt{8^2}+i\cdot \sqrt{12^2}[/tex] [tex][\because \sqrt{-1}=i][/tex]
[tex]\sqrt{64}+\sqrt{-144}=\sqrt{8^2}+i\cdot 12[/tex]
[tex]\sqrt{64}+\sqrt{-144}=8+12i[/tex]
Therefore, the missing values are [tex]-1,\ i,\ 12i[/tex] respectively.
Answer:
Sample Answer for Edmentum
Like and Rate!
Step-by-step explanation:
HELP MY MOM IS GOING TO KILL ME
Answer:
−a2+17b
Step-by-step explanation:
Find the area of the shaded region.
Answer:
42.14
Step-by-step explanation:
First find the area of the square:
14x14=196
Then find the area of the circle:
It has a diameter of 14 so divide it by 2 to get the radius.
Then use the formula πr²
7²=49
49x3.14=153.86
Then subtract
196-153.86=42.14
Can someone please answer 1 for me? Whoever can answer gets brainliest
Can someone help me find x ?
Answer:
x = 15
Step-by-step explanation:
Apply the keg rule to find x. The keg rule is given as:
Hypotenuse / leg = leg / part of the hypotenuse directly under the leg
Hypotenuse = 25
Leg = x
Part of the hypotenuse directly under the leg = 25 - 16 = 9
Plug in the values
25/x = x/9
Cross multiply
x*x = 25*9
x² = 225
x = √225
x = 15
Which rule describes the translation?
y
5
B
С
O(x, y) - (x -8, y - 3)
O(x, y) = (x - 3, y + 8)
(x, y) + (x + 8, Y-3)
O (x, y) = (x + 3y + 8)
B'
C'
A
-5
D
A'
D'
Answer:
(x,y) -> (x + 8, y - 3)
Step-by-step explanation:
Move any point to the right 8 units, and down 3 units. You are just translating the shape, not dilating, reflecting, or rotating it.
How are the signs of the coordinates of A and F related?
Answer:
1. A rotate 180° counterclockwise (x,y) --> (-x,-y) or
2. A reflect about the origin (0,0) (x,y) --> (-x,-y)
Step-by-step explanation:
A ( -2 , 4) F (2 , -4)
2 ways:
1. A rotate 180° counterclockwise (x,y) --> (-x,-y) or
2. A reflect about the origin (0,0) (x,y) --> (-x,-y)
Wish this is right...
Answer:
The coordinates of point A are (-2, 4), and the coordinates of point F are (2, -4).The x-coordinates, -2 and 2, are opposites, and the y-coordinates, 4 and -4, are opposites.
Step-by-step explanation:
!!edmentum answer!!
Please help me again!!!!!!!!
Answer:
Huan receives 3.33 pounds (£) every week
Step-by-step explanation:
We can calculate this by dividing the amount for 5 weeks and dividing by 5 to find the amount of pocket money for each week. 16.65/5 = 3.33, which means that he receives 3.33 pounds (£) every week for pocket money.
Answer:
Huan gets 3.33 every week
Many states assess the skills of their students in various grades. One of the tests provided by a national association assesses the reading skills of 12th-grade students. In a recent year, the national mean score was 286 and the standard deviation was 38. Assuming that these scores are approximately Normally distributed, N(286, 38), use the 68-95-99.7 rule to give a range of scores that includes 95% of these students.
Answer:
95% of these scores are between 210 and 362.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 286, Standard deviation = 38
Use the 68-95-99.7 rule to give a range of scores that includes 95% of these students.
This is within 2 standard deviations of the mean. So
286 - 2*38 = 286 - 76 = 210
286 + 2*38 = 286 + 76 = 362
95% of these scores are between 210 and 362.
A petri dish has 10, 000 bacteria in it. After 4 hours the bacteria’s population increased to 20,000. If the number of colonies grows exponentially, write a formula for the number of bacteria in the dish at any time t, where t is in hours
Answer:
[tex]P(t) = 10000e^{0.1733t}[/tex]
Step-by-step explanation:
The population of bacteria grows exponentially, which means that it can be represented by a function in the following format:
[tex]P(t) = P(0)e^{rt}[/tex]
In which P(0) is the initial population and r is the growth rate.
A petri dish has 10, 000 bacteria in it.
This means that [tex]P(0) = 10000[/tex]. So
[tex]P(t) = 10000e^{rt}[/tex]
After 4 hours the bacteria’s population increased to 20,000.
This means that [tex]P(4) = 20000[/tex], and we use this to find the growth rate. So
[tex]P(t) = 10000e^{rt}[/tex]
[tex]20000 = 10000e^{4r}[/tex]
[tex]e^{4r} = \frac{20000}{10000}[/tex]
[tex]e^{4r} = 2[/tex]
[tex]\ln{e^{4r}} = \ln{2}[/tex]
[tex]4r = \ln{2}[/tex]
[tex]r = \frac{\ln{2}}{4}[/tex]
[tex]r = 0.1733[/tex]
So, the formula is given by:
[tex]P(t) = 10000e^{0.1733t}[/tex]
An understanding of statistics is necessary in any job. The use of statistics can help provide answers to many questions. Write a question you think that statistics may help you answer and explain why statistics can help provide an accurate answer.
Answer:
Statistics can help solving data quantitative analysis data.
Step-by-step explanation:
Statistics can help solving data quantitative analysis data.
Examples of questions, that statistics can help provide answers to
What is the measure of central tendency, that is representative of entire statistical data.Ans : It can be found out by calculating mean , median , mode
How widely dispersed or spread off is the dataAns : It can be found out by calculating standard deviation, variance
An example of a question statistics can help you answer is: What is are the socio-economic characteristics of people living in Texas?
Using frequency count and percentage, we can determine the gender, age distribution, occupation and other demographics of the population of people living in Texas.
What is Statistics?Statistics involves the collection, collation, analysis, and interpretation of data to form valid conclusions about problems and give answers to questions raised.We have descriptive and inferential statistics as the two types of statistics.For descriptive statistics, frequency count and percentage can be used to describe the socio-economic characteristics of a population.Therefore:
An example of a question statistics can help you answer is: What is are the socio-economic characteristics of people living in Texas?Using frequency count and percentage, we can determine the gender, age distribution, occupation and other demographics of the population of people living in Texas.Learn more about statistics on:
https://brainly.com/question/12150562
a person runs around a square field of side 70m, while another person runs around a rectangular field with length 90m and breadth 60m. Who covers more distance by how much?
Step-by-step explanation:
Given that,
The side of a square field = 70 m
The dimensions of a rectangular field with length 90m and breadth 60m.
The distance covered by the person on square field is given by :
P = 4×side
= 4×70
= 140 m
The distance covered by the person on a rectangular field is given by :
P = 2(l+b)
= 2(90+60)
= 2×150
= 300 m
Hence, a person will cover more distance in the rectangular field.
guys help i dont know this Find the value of the expression 2x – 3y + 4z, if x = 10, y = -12 and z = 11.
Answer:
100 answer is correct
Step-by-step explanation:
2×10-3×-12+4×11
20+36+44
100 answer is correct
Step-by-step explanation:
2x-3y+4z
x=10
y=12
z=11
2(10)-3(-12)+4(11)
20+36+44
and the answer is 100
(made a lot of mistakes so edited answer!)
good day :)
What is the value of 1/2 x^3+3.4y when x=2 and y=5?
Use the fractions 36in./1yd and 2.54 cm/1 in convert 3yd to cm
PLS HELP. Find the value of each variable.
6. x=100
7.x=75
8.x=30
10.x=112
11.x=58 y=58
Answer:
6) x = 70°
7) x = 75°
8) x = 30°
10) x = 112°
11) x = 58° , y = 58°
Step-by-step explanation:
6) two congruent sides means two congruent angles
x + x + 40 = 180 2x = 140
7) two congruent sides means two congruent angles
both base angles measure 75 degrees
8) isosceles triangle (has two equal sides) 75(2) + x = 180 150 + x = 180
10) two congruent angles means two congruent sides
44 + 2n = 180 2n = 136 n = 68
angles n and x form a linear pair and equal 180
180 - 68 = 112
11) isosceles triangle so ∡x = ∡y 64 + x + x = 180
64 + 2x = 180 2x = 116 x = 58
What is the line of symnmetry for the function y = x2 – 2x + 6
Answer:
Replace x with −x and y with −y
to check if there is the x-axis, y-axis, or origin symmetry.
Not symmetric to the x-axis
Not symmetric to the y-axis
Not symmetric to the origin
but
Find the axis of symmetry-
x=1
Step-by-step explanation:
Need some help rn I have an f
Answer:
C
Plzzzzz give me Brainliest!!!!!
Biologists estimate that a randomly selected baby elk has a 44% chance of surviving to adulthood. Assume this estimate is
correct. Suppose researchers choose 7 baby elk at random to monitor. Let X = the number that survive to adulthood.
What is the probability that more than 4 elk in the sample to survive to adulthood?
O 0.6294
O 0.2304
0.8598
0.1402
O 0.3706
Answer:
0.1402
Step-by-step explanation:
For each baby elk, there are only two possible outcomes. Either they survive adulthood, or they do not survive. The probability of an elk surviving adulthood is independent of other elks. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Biologists estimate that a randomly selected baby elk has a 44% chance of surviving to adulthood.
This means that [tex]p = 0.44[/tex]
Suppose researchers choose 7 baby elk at random to monitor.
This means that [tex]n = 7[/tex]
What is the probability that more than 4 elk in the sample to survive to adulthood?
This is:
[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{7,5}.(0.44)^{5}.(0.56)^{2} = 0.1086[/tex]
[tex]P(X = 6) = C_{7,6}.(0.44)^{6}.(0.56)^{1} = 0.0284[/tex]
[tex]P(X = 7) = C_{7,7}.(0.44)^{7}.(0.56)^{0} = 0.0032[/tex]
[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7) = 0.1086 + 0.0284 + 0.0032 = 0.1402[/tex]
0.1402 probability that more than 4 elk in the sample to survive to adulthood.
Using the concept of binomial probability, the probability that more than 4 survive is 0.1402
Using the binomial probability formula :
[tex] P(x = x) = nCx \times p^{x} \times q^{(n-x)} [/tex] p = probability of success = 0.44q = 1 - p = 1 - 0.44 = 0.56 n = number of trials = 7The probability that more than 4 survive can be defined thus :
[tex] P(x > 4) = p(x = 5) + p(x = 6) + p(x = 7) [/tex]Using a binomial probability calculator :
[tex] P(x > 4) = 0.1086 + 0.0284 + 0.0032 [/tex]
[tex] P(x > 4) = 0.1402 [/tex]
Hence, the probability that more than 4 survive is 0.1402
Learn more : https://brainly.com/question/15929089
Please help I’ll mark you as brainliest if correct!!!
Answer:
First is correct
Second is perimeter
Why? Because perimeter is the surounding part
Answer:
The first one is correct the second one is Perimeter
Step-by-step explanation:
Hope this Helps! :)
One side of a triangle is 3 times the second side. The third side is 17 feet longer than the second side. The perimeter of a
triangle is 52 feet. Find the length of each side.
Provide your answer below:
Answer:
Step-by-step explanation:
lets have one side =a
P=3a+a+(17+a)=52
P=5a+17=52
5a=52-17
5a=35
a=7
second side=21
third side=24
At the same time of day, a tree and a flagpole cast shadows as shown below.
How tall is the tree?
Answer:
16 feet
Step-by-step explanation:
Height of tree = [tex]\frac{20}{15}[/tex] × 12ft
= 16ft
A water tank is 90 m long and 60 m wide. What is the
volume of the water in the tank if the depth of water is
40 m?
What’s the answer ??
Answer:
216000 m^3
Step-by-step explanation:
Volume of water
= length of tank x width of tank x depth of water
= 90(60)(40) m^3
= 216000 m^3
Please help me I’ll give you brainliest
Help me I'm too tired to think and this is easy.
Please tell me if this number is greater than, less than or equal to 5. The number is -(-5)
Answer:
equal to
Step-by-step explanation:
two negatives equals positive
Answer:
Equal
Step-by-step explanation:
Double negative equals a positive. Gn
What is the next three numbers in pattern?
3,9,4,16,5,25,
Answer:
3, 9, 4, 16, 5, 25, 6, 36, 7
someone help pls :p
Is this graph and example of a sin or cos graph?
Answer:
Sine
I think
Step-by-step explanation:
The graph of the cosine is the darker curve; note how it's shifted to the left of the sine curve. The graphs of y = sin x and y = cos x on the same axes. . .. You probably noticed that these cofunction identities all use the difference of angles, but the slide of the sine function to the left was a sum.
The sine of the angle = the length of the opposite side. the length of the hypotenuse.
The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.
The tangent of the angle = the length of the opposite side. the length of the adjacent side.
A hose fills a hot tub at a rate of 4.68 gallons per minute. How many hours will it take to fill a 338 gallon hot tub?
Answer:
1 hour and 12 mins and 56 seconds
Step-by-step explanation:
Hope this helps and have a great day!!!
If AD = 18 then
AB=
BC=
BC=
Step-by-step explanation:
where is the diagram or shape my guy