Answer:
6.5e^(i·(-157.38°)) ≈ 6.5e^(-2.7468i)
Step-by-step explanation:
A suitable calculator can find the value of this ratio for you.
((2+3i)/(1-i))² = -6 -2.5i ≈ 6.5∠-157.38° ≈ 6.5e^(-2.7468i)
__
The second attachments shows the calculator set to radian mode for the angle measure.
Can anyone help me find the correct angle for ZWP?
Answer:
56 degrees
Step-by-step explanation:
Here, I think you just accidentally put the value for the angle ZWX, which would be ZWP+PWX(56+56).
You actually already wrote it on the paper, so nothing wrong with your math here, just a thinking error :)
Emily earns extra spending money by babysitting children in her neighborhood. On Tuesday, she earned $16 for baby sitting for 2 hours. On Saturday, she earned $40 for baby sitting for 5 hours. let x represents the number of hours and y represents the amount earned. What is the rate of change? *
1 point
A. 24/7
B. 8/1
C. 38/11
D. 7/2
Answer:
2000
Step-by-step explanation:
2000+40+16*2
2000
What is the image point of (2,8) after the transformation rx-axis D₂?
After transformation, the point (-1,2) in the image would be (-1,-2)
What is composition of transformations?Each transformation applied to the prior image is combined into a composition of transformations. The result of a translation is identical to a composition of reflections across parallel lines (twice the distance between the parallel lines). The composite transformation is carried out by multiplying the matrix in order from the right to the left side if it is represented as a column. The output from the preceding matrix is multiplied by the new matrix that will follow.
First, we must mirror the point (-1, 2) around the line y=-x.
(X, Y) is the rule (-y,-x)
you obtain (-1,2)—>(-2,1) (-2,1)
At this point, you must rotate (-2,1) by 90 degrees.
(X, Y) is the rule ( -y,x)
so (-2,1)—> (-1,-2) (-1,-2)
After transformation, the point (-1,2) in the image would be (-1,-2)
The complete question is,
What is the image point of (-1,2) after the transformation R 90° ry=-x
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Which graph represents a line with a slope of and a y-intercept equal to that of the line y = x – 2? A coordinate plane with a line starting at (negative 2, negative 4), passing through (0, negative 2) and (2, 1). A coordinate plane with a line passing through (negative 3, 0) and (0, 2). A coordinate plane with a line passing through (0, 2) and (2, negative 1). A coordinate plane with a line passing through (negative 3, 0) and (0, negative 2). Mark this and return
The first option is the correct one for the line y = x - 2:
" coordinate plane with a line starting at (negative 2, negative 4), passing through (0, negative 2)"
Which is the graph of the line?Here we want to identify the graph of the linear equation:
y = x - 2
First, notice that when we evaluate this in x = 0 we get the y-intercept:
y = 0 - 2
y = -2
Then the y-intercept there is (0, -2)
Also, evaluating the linear equation in x = -2, then we will get:
y = -2 - 2
y = -4
So we have the point (-2, -4)
Then the correct option is the first one:
" coordinate plane with a line starting at (negative 2, negative 4), passing through (0, negative 2)"
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Kiet needs to observe a science experiment every 6 minutes for one hour. He makes his first observation at 1:00 p.m. At what time will he make another observation?
Kiet will make his another observation at every multiples of 6 until it reaches at 60 which is at 2 : 00 pm.
Given that,
Kiet needs to observe a science experiment every 6 minutes for one hour.
He makes his first observation at 1:00 p.m.
Now he needs to make the observation every 6 minutes.
This means that his second observation will be at 1:06 pm.
Third observation will be at 1:12 pm.
Fourth will be at 1:18 pm.
It goes on like this for every multiples of 6.
His last observation will be at 2:00 pm which is at the 60th minute after 1.
Hence Kiet will make his observations at every multiples of 6 until it reaches 60.
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Your daughter found three pieces of ribbon in all different colors. Their lengths were 2 meters and 1 decimeter; 3 meters and 9 decimeters; and 6 meters and 4 decimeters. What was the length of the ribbons in all? Give a decimal answer in meters.
Answer:
convert the lengths to meters
10dm=1m
1dm=0.1m
hence, firs ribbon
2m+0.1m=2.1m
Second Ribbon
3m and 9dm
convert 9dm into Metres we get 0.9m
hence, 3m+0.9m=3.9m
Third Ribbon
6m+0.4m=6.4m
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
round it to the underlined digit
pls help
Josiah ate dinner at a restaurant and his bill was $15.75. He wanted to leave a 15% tip. How much tip did he leave?
Group of answer choices
$2.36
$18.11
$1.50
$0.15
Hence, He had to pay $ 18.11 for the tip on a restaurant bill.
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.
Josiah ate dinner at a restaurant and his bill was $15.75,
He wanted to leave 15% tip,
Then He had to pay,
=15.75+15 % of 15.75
=15.75 + 0.15*15.75
=18.11
Hence, He had to pay $ 18.11 for tip on the restaurant bill.
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Please help me! Thank you!
Leo wants to paint a mural that covers a wall with an area of 1,440 square feet. The height of the wall is 2/5 of its length. What is the length and the height of the wall?
Answer:
decide on your destiny
Step-by-step explanation:
i need you to decide on your own destiny
Answer:
24 feet height, 60 feet length
The radius of a circle is 4 miles. What is the length of a 45° arc?
45°
r=4 mi
The length of a 45° arc with a radius of 4 miles is approximately 3.14 miles, calculated using the formula for arc length.
To determine the length of a 45° arc given a radius of 4 miles, we can use the formula: Arc length = (angle measure / 360°) x 2πr, where r is the radius of the circle and π is a constant equal to approximately 3.14.
Substituting the given values into the formula, we get: Arc length = (45° / 360°) x 2π(4 mi)Arc length = (1/8) x 2π(4 mi)Arc length = (1/8) x 8π Arc length = π
The length of the 45° arc is approximately 3.14 miles.
Summary: To find the length of a 45° arc of a circle, we use the formula: Arc length = (angle measure / 360°) x 2πr. Given a radius of 4 miles, we can substitute the values into the formula to get the length of the 45° arc, which is approximately 3.14 miles.
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Please help me with this
Answer:
the question is not visible
lesson 6.2
Graph the image of the figure using the transformation given.
last 3 pics are the options to pick from
The figure with these coordinates are G'(3, -5), H'(2, 0), I'(0, -1) and J'(-1, -4) given below. Therefore, option C is the correct answer.
Given that the shape is reflected across the y-axis.
What is a reflection on the y-axis?The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
The coordinates of the given figure are G(-3, -5), H(-2, 0), I(0, -1) and J(1, -4)
When the coordinates of the figure GHIJ are reflected across the y-axis we get G(-(-3), -5), H(-(-2), 0), I(0, -1) and J(-(1), -4)
So, the coordinates are G'(3, -5), H'(2, 0), I'(0, -1) and J'(-1, -4)
The figure with these coordinates are G'(3, -5), H'(2, 0), I'(0, -1) and J'(-1, -4) given below. Therefore, option C is the correct answer.
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Player I has two coins. One is fair (probability 1 2 of heads and 1 2 tails) and the other is biased with probability 1 3 heads and 2 3 tails. Both players know these probabilities. Player I knows which coin is fair and which is biased. He selects one of the coins and tosses it. The outcome of the toss is announced to II. Then II must guess whether I chose the fair or biased coin. If II is correct there is no payoff. If II is incorrect, she loses 1.
Required:
Draw the game tree. Be sure to indicate the information sets.
Answer:
Hi please make me brainly
Step-by-step explanation:
please
Find the coordinates of the figure after the transformations. Translate the triangle 1 unit right and 5 units down. Then reflect the image in the y-axis.
The final image is the same as Translate 5 units down, and then reflect over the y axis.
What is Transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.
Translation is the movement of a point up, down, left or right.
Transformation is the movement of a point from its initial location to a new location.
The final image is the same as Translate 5 units down, and then reflect over the y axis.
Therefore the coordinates remains same as previous figure.
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The iPhone6s Plus is on sale for 15% off the onginal price. The sale pnce is $901. What was the ongina price? (Hint: The sale pnce is always a part of the whole)
Answer:
$1315.15
Step-by-step explanation:
x=901 * 0.15
Original price * the discount gives you your original price
Use the image to determine the direction and angle of rotation.
graph of triangle ABC in quadrant 4 and a second polygon A prime B prime C prime in quadrant 2
90° clockwise rotation
90° counterclockwise rotation
180° clockwise rotation
270° counterclockwise rotation
The angle of rotation for the described transformation is
180° clockwise rotationHow to know the angle of rotationThe movement or transformation described is form quadrant 4 to quadrant 2.
The transformation will require 180 degrees transformation.
In this type of transformation, both clockwise and the counter clockwise have similar effects
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32 percent of the customers of a fast food chain order the Whopper, French fries and a drink. A random sample of 10 cash register receipts is selected. What is the probability that eight receipts will show that the above three food items were ordered?
Answer: 0.0023
Step-by-step explanation:
Let X be the binomial variable that represents the number of receipts will show that the above three food items were ordered.
probability of success p = 32% = 0.32
Sample size : n= 10
Binomial probability function :
\(P(X=x)= \ ^nC_xp^x(1-p)^{n-x}\)
Now, the probability that eight receipts will show that the above three food items were ordered :
\(P(X=8)=\ ^{10}C_8(0.32)^8(1-0.32)^2\\\\=\dfrac{10!}{8!2!}(0.32)^8(0.68)^2\\\\=5\times9(0.0000508414176684)\\\\=0.00228786379508\approx0.0023\)
hence, the required probability = 0.0023
What’s the correct answer for this question?
Answer:
21/100
Step-by-step explanation:
By looking at the table, we can find the box that has information on people who have dogs but do not walk. The number is 21. The total number of people is 100. To find probability, divide 21 by 100.
21/100
This fraction is in its simplest form and cannot be simplified any further.
Find f(4) when f(x)= x^2 + 5x +2
In order to find f evaluated at 4, we need to replace the number 4 into the place of x, that is,
\(f(4)=(4)^2+5(4)+2\)which gives
\(f(4)=16+20+2\)Therefore, the answer is:
\(f(4)=38\)Let p: x<-3
Let q: x>3
What is represented by p V q?
O x<-3 and x > 3
O x> 3 or x<-3
Olfx <-3, then x > 3
Ox<-3 if and only if x > 3
9514 1404 393
Answer:
(b) x> 3 or x<-3
Step-by-step explanation:
The ∨ symbol is understood to mean "or".
p ∨ q ≡ (x < -3) or (x > 3) . . . . . . matches the 2nd choice
A backer is using a cookie recipe that calls for 2 cups of flour to yield 36 cookies. How
much flour will the baker need to make 90 cookies using the same recipe?
Inequality question PLEASE HELP
Answer:
40x4x<60
x<5
Step-by-step explanation:
40x4x<60
4x<60-40
4x<20
x<20÷4
x<5
.
_led to large scale material production, stronger/more durable military weaponry and far reaching navies
Technology led to large scale material production, stronger/more durable military weaponry.
What is Technology?This is referred to the application of scientific knowledge to the practical aims of human life.
Technology cuts across various sectors and was instrumental in large scale material production and production of durable weaponry in the military which was used during wars.
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A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 106, and the sample
standard deviation, s, is found to be 10.
(a) Construct a 95% confidence interval about u if the sample size, n, is 16.
(b) Construct a 95% confidence interval about u if the sample size, n, is 11.
(c) Construct a 90% confidence interval about μ if the sample size, n, is 16.
(d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?
In light of this, the 95% confidence interval for is (100.67, 111.33) as s is the sample standard deviation, n is the sample size.
what is standard deviation ?A collection of information's values' standard deviation serves as a gauge for how much variance or dispersion there is. It is a statistical word used to describe the degree to which the individual data points depart as from mean or average value that is contained in the data set. By taking taking square root of the variance—the sum of the squared deviations amongst each point in the data and the mean—we can determine the standard deviation. While a high standard deviation suggests that the data points are widely dispersed, a modest standard deviation suggests that the statistics are close to the mean.
given
(a) When the sample size, n, is 16, we can apply the following formula to create a 95% confidence interval regarding the population mean, :
x ± tα/2 * (s/√n)
where t/2 is the crucial value from the t-distribution with n-1 degrees of freedom and a confidence level of 95%, and x is the sample mean, s is the sample standard deviation, n is the sample size.
We determine that t0.025,15 = 2.131 using a t-distribution table or calculator.
When we enter the values, we obtain:
106 ± 2.131 * (10/√16)
which is equivalent to:
106 ± 5.33
In light of this, the 95% confidence interval for is (100.67, 111.33) as s is the sample standard deviation, n is the sample size.
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a farmer has two types of milk, one that is 28% butterfat and another that is 16% butterfat. how many gallons of each should be combined to create a 60-gallon mixture that is 22.5% butterfat?
30 gallons of 28% butterfat and 30 gallons of 16% butterfat should be combined to create a 60-gallon mixture that is 22 % butterfat.
Let x gallon of 28% butterfat mixed with the y gallon of 16% butterfat to obtain 60 gallons of 22.5% butterfat,
⇒ x + y = 60 ⇒ x = 60 - y ----(1),
Quantity of butterfat in x gallon + quantity of butterfat in y gallon = total quantity of butterfat,
⇒ 28% of x + 16% of y = 22% of 60
⇒ 0.28x + 0.16y = 0.22 × 60
⇒ 0.28x + 0.16y = 13.2
⇒ 28x + 16y = 1320
⇒ 14x + 8y = 660
From equation (1),
14(60-y) + 8y = 660
840 - 14y + 8y = 660
6y = 180
y = 30
Again from equation (1),
x = 60 - y
= 60 - 30
= 30
Hence, 30 gallons of 28% butterfat and 30 gallons of 16% butterfat are combined to create a 60-gallon mixture that is 22%
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can someone solve and graph it
f(x)=|x+1|+2
Answer:
d y x+1
----- = (l x+1 l + 2) x -----------------------
d x (l x+1 l + 2) x lx+1l
Express the division expression as a fraction in simplest form. Then, rewrite the fraction as a mixed number.
14 ÷ 4
Step-by-step explanation:
14 ÷ 4 is the same as the corresponding fraction (because a fraction is nothing else than a mini-division) :
14/4 = 7/2
and 7 divided by 2 is 3 with a remainder of 1. that means 1 time 1/2 remains as fraction.
so, the mixed number is
3 1/2
pls help me. I'm lost
Answer:
f(-2) = 13
g(4) = -9
Explanation:
Whenever a question is asking you to find something like, in this example, f(-2) or g(4), you have to substitute whatever number is in the parentheses for every x in the function with that letter.
Let's try to find f(-2). We have to substitute -2 for every x in the function f and simplify:
\(f(-2) = -2 (-2)^{3} -3\\f(-2) = -2(-8)-3\\f(-2) = 16 - 3 \\f(-2) = 13\)
Therefore, \(f(-2) = 13\).
Next, let's try to find g(4). We have to substitute 4 for every x in the function g and simplify:
\(g (4) = -2(4) - 1\\g(4) = -8-1\\g(4) = -9\)
Therefore, \(g (4) = -9.\)
which model shows a sum of 0.5 and 0.32
Answer: A
Step-by-step explanation: