complex numbers
simplify.
\left(\sqrt{-5}+2\sqrt{20}\right)\left(-\sqrt{-5}\right)
Answers
Answer:
-5+ 20i
Step-by-step explanation:
just distribute: [tex](\sqrt{-5})(2\sqrt{20}+\sqrt{-5})[/tex]---> [tex](2\sqrt{-100}) -5[/tex] and because 100 is the perfect square of 10 you get -5+20i
Related Questions
Which graph represents the solution of |–2 + (x – 3)| < 7?
Answers
Answer:
D
Step-by-step explanation:
the "<" (or "smaller") symbol tells us that the solution must have empty dots at the interval ends, as these values are not included in the solution.
otherwise, we would have a "<=" ("smaller or equal") symbol.
let's start for the first limit to calculate without the absolute value :
-2 + (x - 3) < 7
-5 + x < 7
x < 12
the other end we get by multiplying only the left side (still without the absolute value) by -1 and do it again :
-1×(-2 + (x - 3)) < 7
2 - (x - 3) < 7
2 - x + 3 < 7
-x + 5 < 7
-x < 2
x > -2 (remember, when we multiply the whole inequality, left and right side, by a negative value, we need to flip the inequality symbol).
Pre Ap Geometry, the circled ones are the ones I need help with!
Answers
Answer:
Yo hope you do not get in trouble for plagiarism
Step-by-step explanation:
If BS = 9 and AB = 14, what is the measure of AS? Round to the nearest hundredth. Show all your work.
Answers
Answer:
When a radius meets a tangent the angle is always 90° and the length of the radius stays constant
So you can do pythagoras theorem
A2+b2=c2
9^2+14^2=C^2
C= 16.64
C~17
Charity and timothy collect stamps. Timothy collected 17 fewer than three times the number of charitys stamps. Altogether, they collected 527 stamps. How many stamps did charity and timothy collect?
Charity collected _____
timothy collected____
Answers
Let
charity collected=xTimothy collected=3x-17ATQ
[tex]\\ \tt\hookrightarrow x+3x-17=527[/tex]
[tex]\\ \tt\hookrightarrow 4x-17=527[/tex]
[tex]\\ \tt\hookrightarrow 4x=544[/tex]
[tex]\\ \tt\hookrightarrow x=136[/tex]
Charity=136Timothy=527-136=391[/tex]I'm not good at linear equations and I need help fast.
Answers
Answer:
B. nonlinear
Step-by-step explanation:
Difference Difference
in x x y in y
0 -2
1 1
1 -1
1 7
2 6
1 19
3 25
The difference between any two consecutive x-coordinates is 1. Each difference between any two consecutive y-coordinates is different. This means it is a nonlinear function.
Wym has a packet of 50 biscuits she gives half of them to her friend and then eats 8 how many are left
Answers
Answer:
17 biscuits
Step-by-step explanation:
Since she starts with 50 and gives away half which is 25, that will leave her with 25 biscuits herself. If she then eats 8 of them, that will leave her with 17 since 25-8=17.
determine slope and what it represents!
Answers
Answer:
15 is the slope, it means you make $15 an hour
Step-by-step explanation:
$15 is found as the slope (see attachment), and because it's rise over run (15/1) then that is making $15 for every one hour worked.
Factor the expression of 2x squared + 7x -4
Answers
Answer:
(2x−1)(x+4)
Step-by-step explanation:
2x2+7x−4=(2x−1)(x+4)
need help on this question.
Answers
[tex]\implies2x = 74 \\ \implies \: x = \frac{74}{2} \\ \implies \: x = 37[/tex]
If you are wondering why 2x = 74 then, vertically opposite angles are always equal.
Find 3 consecutive integers that is 3 times the smallest is 32 more than the largest
Answers
Answer:
10,11,12
Step-by-step explanation:
32-2/3=smallest
Help me I really need help
Answers
Answer:
Question 1 is A (7/10) Question 2 is b (39/56)
Step-by-step explanation:
if x + y = 12 and x * y = -360 what are the values of x and y
Answers
Step-by-step explanation:
x + y = 12
x × y = -360
we need to transform one equation into an identity of one variable being expressed by the other variable.
e.g. the first equation gives us
x = -y + 12
and then we use that in the second equation :
(-y + 12) × y = -360
-y² + 12y = -360
y² - 12y - 360 = 0
the general solution for such a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = y
a = 1
b = -12
c = -360
y = (12 ± sqrt(144 - 4×1×-360))/2 =
= (12 ± sqrt(144 + 1440))/2 = (12 ± sqrt(1584))/2 =
= 6 ± sqrt(1584/4) = 6 ± sqrt(396) = 6 ± sqrt(36×11) =
= 6 ± 6×sqrt(11)
y1 = 6 + 6×sqrt(11) = 25.89974874...
y2 = 6 - 6×sqrt(11) = -13.89974874...
x1 = -y1 + 12 = -13.89974874...
x2 = -y2 + 12 = 25.89974874...
so, we see, they are interchangeable.
the solution is either
x = 25.89974874...
and
y = -13.89974874...
or
x = -13.89974874...
and
y = 25.89974874...
7 times a number is 30 greater than the sum of twice the number and five
Answers
Answer:
7 X = 30 + 2(x + 5)
7x = 30 + 2x + 10
7x = 40 + 2x
7x - 2x = 40 + 2x -2x
5x = 40
x=8
Answer:
x=8
Step-by-step explanation:
7 X = 30 + 2(x + 5)
7x = 30 + 2x + 10
7x = 40 + 2x
7x - 2x = 40 + 2x -2x
5x = 40
x=8
what is the point of intersection of the linear system
x=5 and y = - 4
Answers
The area of a rectangle is 18 cm. It's length is double than that breadth, (1) Find its length and breadth (2) Find its perimeter?
Answers
Answer:
3 cm, 6 cm18 cmStep-by-step explanation:
Let the width is x, then the length is 2x.
Area of rectangle:
x*2x = 182x² = 18x² = 9x = 3Dimensions are:
3 cm and 6 cmPerimeter is:
P = 2(3 + 6) = 18 cmLet dimensions be x and 2x
Now
Area=18LB=182x(x)=182x²=18x²=9x=3Now
Breadth=3
Length=2(3)=6
Perimeter
2(3+6)=2(9)=18cmThe thesis statement, the theme or central idea of a speech, should be expressed as.
Answers
A bowl has a radius of 3 inches. What is the circumference of the bowl?
Answers
Answer:
9.42 (sorry if im late)
Step-by-step explanation:
I believe that if you take the radius and multiply it by pi (3.14), you get the circumfrence
3.14 x 3 = 9.42
pls help me i need the answer
4672 x 47 will mark brainlists
Answers
Evaluate x/y if x= 4/5 and y= −0.1 . Write your answer in simplest form.
Answers
Answer:
-8
Step-by-step explanation:
given x as 4/5 and y = - 0.1...
converting x to decimal it becomes 0.8
we then input values for x and y in the equation x/y
x/y = 0.8 / -0.1 = -8
The value of the fraction x/y is -8.
Given that, x= 4/5 and y= −0.1.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
To find the value of fraction x/y:
Here, x=4/5 = 0.8
Now, x/y = 0.8/(-0.1)
= -8
Hence, the value of the fraction x/y is -8.
To learn more about the fraction visit:
brainly.com/question/1301963.
#SPJ5
i need help with this please give plain answer like the example on the image!
Answers
Answer:
can you make it look better
Step-by-step explanation:
The quality
pact cameras are as follows:
185, 165, 250, 170, 220, 160, 215, 300, 180, 95, 150, 210, 180, 180
Find each of the following for the data:
a.) mean
b.) median
c.) mode
d.) midrange
e.) range
of the
f.) variance
g.) standard deviation
Molisivab babae
Answers
Answer:
In step by step
Step-by-step explanation:
Your mean is 190.
Your median is 180 because it is in middle.
Mode is also 180 because it appears most often
Range 205 because 300-95
Variance= without decimals/2346
Standard deviation without decimals /48
Hope it helps :} have a great day!
In how many ways can the letters in the word spoon be arranged?
a. 24
b. 30
c. 60
d. 120
Answers
Yay is making jam. The recipe calls for 3 strawberries for each apple
Answers
Answer:
3 into 1 apple so if u have 3 apples u need 9 strawberrys
Step-by-step explanation:
Please help me answer these questions I keep getting 60% and I can’t move on unless I have 70%
Answers
A manager is assessing the correlation between the number of employees in a plant and the number of products produced yearly. The table shows the data: Number of employees (x) 0 50 100 150 200 250 300 350 400 Number of products (y) 100 1,100 2,100 3,100 4,100 5,100 6,100 7,100 8,100 Part A: Is there any correlation between the number of employees in the plant and the number of products produced yearly? Justify your answer. (4 points) Part B: Write a function that best fits the data. (3 points) Part C: What does the slope and y-intercept of the plot indicate? (3 points).
Answers
The correlation coefficient of the number of employees and the number of products is 0.1.
What is the correlation coefficient?The correlation coefficient helps us to know how strong is the relation between two variables. Its value is always between +1 to -1, where, the numerical value shows how strong is the relation between them and, the '+' or '-' sign shows whether the relationship is positive or negative.
1 indicates a strong positive relationship.-1 indicates a strong negative relationship.A result of zero indicates no relationship at all, therefore, independent variable.
A.) In order to find the correlation between the two quantities we need to know the mean of the two values, therefore, the mean of the number of employees can be written as,
The mean of the number of employees
[tex]\text{Mean of the number of employees} = \dfrac{0+50+100+150+200+250+300+350+400}{9}[/tex]
[tex]\text{Mean of the number of employees} = 200[/tex]
The mean of the number of products
Mean of the number of Products [tex]= \dfrac{100+1100+2100 +3100+ 4100 +5100+ 6100+ 7100+ 8100}{9}\\\\\\=4100[/tex]
Now, the table can be written in the following manner as shown below, using the formula of the correlation,
[tex]r =\dfrac{\sum\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)}{\sqrt{\sum\left(x_{i}-\bar{x}\right)^{2} \sum\left(y_{i}-\bar{y}\right)^{2}}}[/tex]
[tex]r =\dfrac{(30 \times 10^4)}{\sqrt{(15 \times 10^4)\times (60 \times 10^6)}}\\\\r = 0.1[/tex]
B.) The given data follows the linear relationship, therefore, the function of the given data will follow the general equation of a line.
y = mx + C
If we look at the value of y when the value of x was 0,
[tex]y = mx +C \\\\100 = m(0) + C\\\\C = 100[/tex]
Substitute the value of C in any other data point we will get,
[tex]y = mx+C\\\\1100 = m(50) +100\\\\m = 20[/tex]
Hence, the function that best fits the data is y=20x+100.
C.) The slope and y-intercept of the plot indicate that as the number of employees in the organization increases the number of products increases as well. The y-intercept shows us that if there are no employees in the company at that point the company will be able to produce 100 products on its own.
Learn more about Correlation Coefficients:
https://brainly.com/question/15353989
Nisha is looking out the window of her apartment building at a sculpture in a park across the street. The top of Nisha's window is 80 feet from the ground. The angle of depression from the top of Nisha's window to the bottom of the sculpture is 20°. How far away from the building is the sculpture? Round your answer to the nearest hundredth. 29. 11 feet 75. 18 feet 128. 67 feet 219. 80 feet.
Answers
Answer:
(d) 219.80 ft
Step-by-step explanation:
The side opposite the angle is given, and we want to find the side adjacent. The relevant trig relation is ...
Tan = Opposite/Adjacent
tan(20°) = (80 ft)/(distance to sculpture)
This rearranges to ...
distance to sculpture = (80 ft)/tan(20°) ≈ 219.80 ft
will give brainlist and 30 points
Answers
Answer:
what are you asking
Step-by-step explanation:
what are u asking
PLEASE!!!! Help me outtt!!! I’d really appreciate it so much (:
Answers
x = 2
y = -1/2
multiply 1st equation by 2 to get common coefficient
6x + 4y = 10
2x + 4y = 2
‐-------------- subtract equation
4x = 8
x = 2
substitute
3×2 + 2y = 5
6 + 2y = 5
2y = -1
y = -1/2
For each inequality, find two For each inequality, find TWO values for that make the inequality true.
X+3>70
A. 61
B. 66
C. 50
D. 67
E. 70
Answers
Answer: Choice D and Choice E
Explanation:
Subtract 3 from both sides
x+3 > 70
x+3-3 > 70-3
x+0 > 67
x > 67
Any number larger than 67 will make the original inequality to be true.
Unfortunately, only E) 70 fits the description.
D) 67 won't work since 67 > 67 is false.
However, I have a feeling that the original inequality might be [tex]x+3 \ge 70[/tex]. If so, then 67 would work because [tex]67\ge 67[/tex] is true.
So I'll assume that this is the inequality you meant to type out.
A basket of fruit contained 5 oranges, 5 apples, 3 bananas, and 2 grapefruit. What percent of the basket were bananas
Answers
Answer:
20%
Step-by-step explanation:
The percentage score for 3 out of 15 is 20.00%.