Answers
Answer:
A
Step-by-step explanation:
note that i = [tex]\sqrt{-1}[/tex]
given
- 1 + 2i[tex]\sqrt{3}[/tex]
= - 1 + [tex]\sqrt{2^2(-1)3}[/tex]
= - 1 + [tex]\sqrt{-12}[/tex]
Related Questions
The mean amount of time it takes a kidney stone to pass is 12 days and the standard deviation is 4 days. Suppose that one individual is randomly chosen. Let X = time to pass the kidney stone. Round all answers to 4 decimal places where possible.
a. What is the distribution of X? X ~ N
b. Find the probability that a randomly selected person with a kidney stone will take longer than 16 days to pass it.
c. Find the minimum number for the upper quarter of the time to pass a kidney stone.
days.
Answers
The probability that a randomly selected person with a kidney stone will take longer than 16 days to pass it is 0.15866 , the minimum number for the upper quarter of the time to pass a kidney stone days is 14.4 .
What is Probability ?Probability is the measure of likeliness of an event to happen
Let X denote the time to pass the kidney stone.
The random variable X follows normal Distribution
mean = 12 days days
standard deviation = 4 days
The distribution of X is X - N ( 12 , 4)
The probability that a randomly selected person with a kidney stone will take longer than 16 days to pass it is
P ( X > 16) = 1 - P( X ≤ 16)
= 1 - P( Z ≤ (16-12)/4)
= 1 - P ( Z ≤ 1 )
= 1 - 0.84134
= 0.15866
P( X < x₀) = 0.75
[tex]\rm P ( \dfrac{x - \mu }{\sigma} < \dfrac{x_0 -13}{6}) = 0.75[/tex]
[tex]\rm \phi (\dfrac { x_o - 12}{4}) = 0.75[/tex]
Using the excel function the z score for the area 0.75 is
z - score = 0.6745
[tex]\rm \dfrac {x_o - 12}{4} = 0.6745[/tex]
x₀ = 0.6 * 4 + 12
x₀ = 14.4
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On Sunday, there were 22 inches of snow. The weather finally began to warm up and by Monday afternoon there were 19 inches. Then on Tuesday, there were 16 inches. If the snow continues to melt the same number of inches every day complete the equation to model the snowmelt if d represents the number of days after Sunday.
Answers
Answer:
22-3d=x
Step-by-step explanation:
where d is the days that it melts and the amount of snow x is the snow that is left.
Find the x-intercept of the line whose equation is 8x + 2y = 4.
Answers
Answer: (I am copying and pasting my answer from the same question you did before in case you are waiting for an answer on this instead.)
1/2
Step-by-step explanation:
To find the x-int of any equation, you will need to replace the y with a 0 since when the x-int is when y is 0.
8x+2y = 4 ➨ 8x+2*0 = 4
Now I will do 2*0 which anything times 0 is equal to 0. And we are left with the equation of:
8x = 4
Now I will divide both sides by 8, which isolates our x.
x = 1/2
The x-int is 1/2.
Answer:
(0.5 , 0) or (1/2 , 0)
Step-by-step explanation:
Any x-intercept must be at (x,0), so we substitute y=0 into the equation.
8x + 2(0) = 4
8x = 4
x = 1/2 = 0.5
Therefore, the x-intercept is at (0.5 , 0) or (1/2 , 0)
A regular polygon has n sides.
How many pairs of parallel sides does the polygon have if:
a) n is odd?
b) n is even?
Answers
The number of pairs of parallel sides of the polygon have no parallel sides if n is odd and n/2 pair of parallel sides if n is even.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
A regular polygon has n sides.
Then the number of pairs of parallel sides of the polygon will be
IF n is odd, then none of the sides are parallel.
If n is even, then the number of pair of parallel sides will be n / 2.
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I will give Brainliest
Which is a discrete random variable?
W = "exact time it takes for a computer to update its software"
Z = "results of flipping two coins"
X = "weight of the microprocessor inside your computer"
Y = "height of an emperor penguin on Antarctica"
Answers
Answer:
I believe that it should be Y; Height of an emperor penguin on Antarctica
Answer:
Z = "results of flipping two coins"
Step-by-step explanation:
A discrete variable is one which can take only certain values and usually represents values that are counted. The result of flipping two coins can only take a certain number of values of heads or tails (1 head and 1 tail, two heads, or two tails); therefore it is a discrete variable.
A continuous variable is one which can take any value, and usually represents values that are measured. The rest of the options provided (W, X, and Y) are all measurements, and are therefore continuous, not discrete.
Also, among the options presented, option Z is the only one which is "random".
Rectangle LMNP is rotated, using the origin as the center of rotation, to form rectangle L’M’N’P’. What is the angle of rotation? On a coordinate plane, rectangle L M N P has points (negative 2, 5), (1, 5), (1, 4), (negative 2, 4). Rectangle L prime M prime N prime P prime has points (2, negative 5), (negative 1, negative 5), (negative 1, negative 4), (2, negative 4).
Answers
Answer: 180 degrees
Step-by-step explanation:
A rotation of 180 degrees about the origin maps [tex](x,y) \longrightarrow (-x, -y)[/tex].
Answer:
180
Step-by-step explanation:
took the test
Jacob spends 13/4 dollars to paint 9/3 square feet. Find the cost to paint a
square feet per dollar.
Answers
The cost to paint a is 12/13 square feet per dollar.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Jacob spends 13/4 dollars to paint 9/3 square feet.
[tex]\dfrac{\dfrac{9}{3}}{ \dfrac{ 13}{4}} = \dfrac{9}{3} \times \dfrac{ 4}{13}\\\\= \dfrac{ 36}{39}\\\\= \dfrac{ 12}{13}[/tex]
Hence, the cost to paint a is 12/13 square feet per dollar.
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Somebody help please!!
Answers
A table lamp emits light in the shape of a hyperbola. If the hyperbola is modeled by the equation 25x2 – 144y2 + 3,600 = 0, which of the following equations represents the boundaries of the light?
y equals five twelfths x and y equals negative five twelfths x
y equals twelve fifths x and y equals negative twelve fifths x
y equals five thirteenths x and y equals negative five thirteenths x
y equals thirteen fifths times x and y equals negative thirteen fifths times x
Answers
Answer:
(a) y = 5/12x and y = -5/12x
Step-by-step explanation:
Given the equation of a hyperbola 25x² – 144y² + 3,600 = 0, you want the equations of the asymptotes.
Standard formDividing by 3600 and doing a little rearrangement, we have ...
(y/5)² -(x/12)² = 1 . . . . . standard form equation of a hyperbola
AsymptotesThe equation of the asymptotes is ...
(y/5)² -(x/12)² = 0
Solving for y gives ...
(y/5)² = (x/12)²
y/5 = ±x/12 . . . . . . take the square root
y = ±5/12·x . . . . . . . matches the first choice
__
Additional comment
The equation of a hyperbola with vertices on the y-axis is often written as ...
y²/a² -x²/b² = 1
We have written it in the above form to better show the scale factors applied to x and y.
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Bacteria colonies can increase by 73%
every 2 days. If you start with 55 bacteria
microorganisms, how large would the
colony be after 10 days?
Future Amount = [?] microorganisms
←time
Hint: Future Amount = 1(1+r) periods
↑
initial growth
amount rate
Round to the nearest whole number.
Answers
The size of the colony after 10 days is 852.
What is the size of the colony after 10 days?The growth rate of the colony can be represented with an exponential equation with the form:
FV = P(1 + r)^n
Where:
p = present population r = rate of growth n = growth factor = 10 days / 2 days = 555(1.73)^5 = 852
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14. The probability my daughter will eat her dinner without complaining is 5/7. The probability she will eat
her dinner and do her homework all without complaining is 2/7. What is the probability she will do her
homework without complaining given that she ate her dinner without complaining?
Answers
Probability helps us to know the chances of an event occurring. The probability she will do her homework without complaining given that she ate her dinner without complaining is 2/5.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
Let eating dinner without complaining be A, and doing homework without complaining be B.
Given the probability my daughter will eat her dinner without complaining is 5/7. So, we can write,
P(A) = 5/7
Also, The probability she will eat her dinner and do her homework all without complaining is 2/7. So, we can write,
P(A∩B) = 2/7
Now, the probability she will do her homework without complaining given that she ate her dinner without complaining is,
[tex]P(B|A)= \dfrac{P(A\cap B)}{P(A)}[/tex]
[tex]= \dfrac{\dfrac{2}{7}}{\dfrac57}\\\\\\= \dfrac25[/tex]
Hence, the probability she will do her homework without complaining given that she ate her dinner without complaining is 2/5.
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10. A Chemical balance needs to weigh 237 grams using weights of 50 grams , 20 grams , 10 grams and 1 gram . How many of each weight is needed ?
Answers
Answer:
237 grams
50 * 4
= 200
4 weight of 50 g
1 weight of 20g
1 weight of 10g
7 weight of 1g
Janelle and Jacob are considering a $130,000 mortgage for 30 years at 4.8%. With this information, their monthly payment
would be $682.06.
If they make only the minimum payment each month, what is the total payback of this loan?
How much of this total payback is interest?
Answers
Total payback = 360 x $682.06 = $245,541.60
Interest = 245,541.60 - 130,000 = $115,541.60
Please help !!! I will give 20 points to the correct answer!!
Answers
-2x =31 - 11
-2x = 20
X = 20/2
X = 10
A piecewise function g(x) is represented by the graph.
Which functions represent a piece of the function? Select three options.
g(x) = −2x, −2 < x < 0
g(x) = −2, x < −2
g(x) = x − 2, −2 < x < 1
g(x) = −2x + 6, x ≥ 1
g(x) = + 1, –2 ≤ x < 1
Answers
For different function different results are shown below.
What is Function?A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B.
We have been given a graph of piecewise function. Using that we have to select the function from given choices which is represented by graph.
g(x) = −2x, −2 < x < 0
Answer:
NO. Because g(x) = −2x has negative slope so that means it goes downward also there is no y-intercept in g(x) = −2x but the only graph that has y-intercept in given graph goes upward so that can't be answer.
g(x) = −2, x < −2
Answer:
YES. Because g(x) = −2 is a horizontal line which is only on the left side of x=-2. Graph of this part is present in given graph. So yes it is answer.
g(x) = x − 2, −2 < x < 1
Answer:
NO. Because g(x) = x−2 has y-intercept at y=-2 and slope 1 so that means graph of g(x)= x-2 must be going upward and crossing at y=-2 but there is no such graph. Hence this can't be answer.
g(x) = −2x + 6, x ≥ 1
Answer:
YES. Because g(x) = −2x+6 satisfies the graph which is going downward.
g(x) = x/2+ 1, –2 ≤ x < 1
Answer:
YES. Because g(x) = x/2+ 1 satisfies the graph which is going downward.
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Answer: i think this is the answer sorry if i am wrong.
g(x) = −2, x < −2,
g(x) = −2x + 6, x ≥ 1,
g(x) = x/2 + 1, –2 ≤ x < 1
Step-by-step explanation:
Here is the graph
A football teams offense T is found by adding the total passing yardage P to the total rushing yardage R; that is, T=P+R. During the 2012 regular football season, the teams total offense was 4559 yards. The teams passing yardage was 3069 yards. How many yards did the team gain by rushing during the season?
Answers
The team gain 1490 yards by rushing during the season.
What is football yardage?Football yardage is the number of yards that a team or player manages to move the ball forward toward their opponent's end zone.
According to the question,
A football teams offense T is found by adding the total passing yardage P to the total rushing yardage R,
i.e. T=P+R
In 2012,
The teams total offense was 4559 yards.
The teams passing yardage was 3069 yards.
By using the formula
T=P+R
T = 4559 yards , P = 3069 yards
Put the values in the above equation;
4559 = 3069 - R
4559 - 3069 = R
R = 1490 yards
Therefore , 1490 yards the team gain rushing during the season.
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To prove triangles similar, we only need to prove corresponding angles congruent OR corresponding sides are proportional. However, with a quadrilateral we need to prove corresponding angles congruent AND corresponding sides are proportional. Explain in your own words why it takes more to prove that quadrilaterals are similar. Include examples demonstrating how “just angles” or “just sides” is not enough.
Answers
It takes more to prove that quadrilaterals are similar because there are several quadrilaterals such as rectangle, square, etc.
What is a quadrilateral?It should be noted that a quadrilateral simply means a shape that has four sides and four angles.
In orde to prove that triangles are similar, we only need to prove corresponding angles congruency.
On the other hand, it takes more to prove that quadrilaterals are similar because there are several quadrilaterals such as rectangle, square, etc. This makes them more elaborate.
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There are two colored marbles and one white marble in a box. Julie mixes the marbles and then Sam draws two marbles at random without replacement. If the two marbles match, Sam wins; otherwise, Julie wins. Does each player have an equal chance of winning? Will adding another white marble give each player an equal chance of winning? What if a game with the same rules was played using three colored marbles and one white marble?
Answers
adding a white marble would change the possibilities to 1/2 and 1/3 consequently, meaning Sam wins in 1/2 * 1/3 = 1/6 = 16.7% cases, which is even less fair.
adding a colored marble would change the possibilities to 3/4 and 2/3 consequently, meaning Sam wins in 3/4 * 2/3 = 6/12 = 50% cases, which finally makes the game fair.
Mrs. Hilt owns a house on a lot shaped like a rectangle. The perimeter
of the lot is 60 feet. What is the length and the width of the lot?
Answers
Answer:
2l + 2w = 60
Step-by-step explanation:
The Gross Domestic of a country in the first quarter of 2014 was $1.3299×10×8.
GPD=$
Answers
The GDP of the country for 2014 is $5.3196 × 10⁸.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given the Gross Domestic of a country in the first quarter of 2014 was $1.3299×10⁸. Therefore, the GDP of the country for that year will be,
GDP = 4 × (Gross Domestic for a single quarter)
= 4 × ($1.3299×10⁸)
= $5.3196 × 10⁸
Hence, the GDP of the country for 2014 is $5.3196 × 10⁸.
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2x+3y=4 cual es la respuesta??
Answers
Answer:
y = 2/3x + 4/3
Step-by-step explanation:
Voy a suponer que necesitas resolver para y.
2x + 3y = 4
3y = -2x + 4
y = -2/3x + 4/3
Write an equation for the polynomial graphed below
Answers
The expression for the polynomial graphed will be y(x) = (x + 3)(x - 1 )(x - 4 ).
How to factor the polynomial?From the graph, the zeros of the polynomial of given graph are:
x = -3
x = 1
x = 4
Equate the above equations to zero
x + 3 = 0
x - 1 = 0
x - 4 = 0
Multiply the equations
(x + 3)(x - 1 )(x - 4 ) = 0
Express as a function gives;
y = (x + 3)(x - 1 )(x - 4 )
Hence, the factored form of the polynomial will be y = (x + 3)(x - 1 )(x - 4 ) .
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find the measure of angle ACB
Answers
Answer:
angle ACB=45º
Step-by-step explanation:
angle 135º lies on a straight line
a straight line = 180º
thus, angle ACB= 180-135=45º
Find equation in slope intercept form of the line passing through the points with given coordinates (-3,-4), (0,-3)
Answers
Answer:
Step-by-step explanation:
→ Find the gradient
( -3 --4 ) ÷ ( 0 --3) = 1/3
→ Write into format
y = 1/3x + c
→ Substitute in a coordinate pair
-3 = 0 + c
→ Solve for c
c = -3
→ Write into format
y = 1/3x - 3
Please help meeeeeeeeee
Answers
Answer:
a, b, d
Step-by-step explanation:
its one of those
Answer:
A, the first one
What is the area of this triangle?
Answers
Answer:
sum of all sides
Step-by-step explanation:
x1y2 + x3y3 + x1y1
Flying against the jetstream, a jet travels 1710 miles in 3 hours. Flying with the jetstream, the same jet travels 5820 miles in 6 hours. What is the rate of the jet in still air and what is the rate of the jetstream
Answers
The rate of the jet against jetstream will be 570 miles per hour and the rate of the jet in still air will be 970 miles per hour.
What is speed?Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance.
Given that:-
Flying against the jetstream, a jet travels 1710 miles in 3 hours. Flying with the jetstream, the same jet travels 5820 miles in 6 hours.The rate of the jet against the jetstream will be calculated as:-
V = [tex]\dfrac{1710}{3}[/tex] = 570 miles per hour
The rate of the jet in still air will be calculated as:-
V = [tex]\dfrac{5820}{6}[/tex] = 970 miles per hour.
Therefore the rate of the jet against jetstream will be 570 miles per hour and the rate of the jet in still air will be 970 miles per hour.
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where are mc donalds
Answers
Answer:
all over the world
Step-by-step explanation:
use g00g!e maps
Answer:
Not in Russia
Step-by-step explanation:
McDonald's left Russia following the violations of human rights
in quadlateral wxyz wc equals 2X +5 and CY equals 3X +2 what must x equal
Answers
The value of x in the given quadrilateral is; x = 3
How to find the angle in a quadrilateral?
The diagonals of a parallelogram bisect each other.
Thus, from the image attached, we can say that;
WC = CY.
Thus;
2x + 5 = 3x + 2
Subtract 2x from each side to get;
5 = x + 2
Subtract 2 from each side to get;
5 - 2 = x + 2 - 2
x = 3
The complete question is;
In quadrilateral WXYZ, WC = 2x + 5 and CY = 3x + 2. What must x equal for quadrilateral WXYZ to be a parallelogram?
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Two candidates ran for class president. The candidate that won received 80% of the 320 total votes. How many votes did the winning candidate receive?
pls help
Answers
Answer:
256
80÷100×320=256
80÷100=0.8
0.8×320=256
