Answer:
r e^iT = r cos T + i r sin T
r cos T = -1
r sin T = sqrt 3
30, 60 90 triangle in second quadrant r = 2, T = 180-60 = 120
so
2e^120i
foruth root is 2^.25 e^(120/4)i
2^.25 e^30 i
2^.25 ( cos 30 + i sin 30)
Step-by-step explanation:
please answer this question
Answer:
7km
Step-by-step explanation:
[tex] {15}^{2} + {8}^{2} = {c}^{2} \\ 225 + 64 = 289 \\ {c}^{2} = 289 \\ c = \sqrt{289 } \\ c = 17km[/tex]
If (x) = 3x - 2 and g(x) = 2x + 1, find (1-7)(x).
A. X-3
B. 5x - 3
C. 3- x
D. 5x - 1
Answer:
A
Step-by-step explanation:
f - g = (3x - 2) - (2x + 1) = x - 3
A
(5a2 + 4ab – 3b2) – (–5ab + 4b2 + 3a2) =
Answer:
See below.
Step-by-step explanation:
(5a^2 + 4ab – 3b^2) – (–5ab + 4b^2 + 3a^2)
5a^2+4ab-3b^2+5ab-4b^2-3a^2
(5a^2-3a^2)+(4ab+5ab)+(-4b^2-3b^2)
2a^2+9ab-7b^2
-hope it helps
Answer:
You can answer this with modern calculators very easily.
directions write s if the set is similar fraction and d if the set is dissimilar fraction
Answer:
Similar (Like) fractions are fractions with same denominators. On the other hand, dissimilar (Unlike) fractions are fractions with different denominators.
Step-by-step explanation:
hope it helps you
Square DEFG with vertices D(0,0).
E(2, 4), F(6,2), and G(4,-2):
k = 5/2
Dilation involves changing the size of a square
The vertices of the image are (0,0), (5,10), (15,5) and (10,-5)
How to determine the image of the squareThe vertices of the square are given as:
D(0,0), E(2, 4), F(6,2), and G(4,-2)
The scale factor (k) is given as:
k = 5/2
So, the image of the square is:
[tex]D' = 5/2 * (0,0) = (0,0)[/tex]
[tex]E' = 5/2 * (2, 4) = (5,10)[/tex]
[tex]F' = 5/2 * (6, 2) = (15,5)[/tex]
[tex]G' = 5/2 * (4,-2) = (10,-5)[/tex]
Hence, the vertices of the image are (0,0), (5,10), (15,5) and (10,-5)
Read more about dilation at:
https://brainly.com/question/3457976
find the value of a and b when x=10
Answer:
Step-by-step explanation:
a = [tex]\frac{5*10^2}{2}[/tex] = 250
b = [tex]\frac{2*10^2 (10-5)}{10*10}[/tex] = 10
Answer:
A = 500
[tex]b = 2 {x}^{3} - \frac {{x}^{2} }{10} [/tex]
Ok ease
Please please help me
Answer:
1 / 5^7 the last one is correct
Answer:
I checked and the person above is correct
Two numbers add to 336 and the first is 126 bigger than the five times the second. What are the two numbers?
Answer:
301, 35
Step-by-step explanation:
1st number = x, 2nd = y
x + y = 336
x = 126 + 5y
Then
(126 + 5y) + y = 336
6y = 336 - 126 = 210
y = 210/6 = 35
x = 126 + 5y = 126 + 5*35 = 301
Or x = 336 - 35 = 301
The two numbers are 301 and 35
Twenty-three more than three times a number is equal to the difference between -32 and twice the number. Find the number.
Answer:
the answer would be -202
Step-by-step explanation:
since the number your starting with is 23 you would take 23 and × by 3 which gives you 69 then take -32 and subtract that by 69 then what ever you got for that you would multiply it by 2 and then get -202
How much water should be added to 3 gallons of pure alcohol in order to obtain a solution that is 50% alcohol?
Answer: 3 gallons of water
Step-by-step explanation:
3 gallons of alcohol +3 gallons of water = 6 gallons total
alcohol = 3/6 = 50%
help!! Please !! Thank you if you help
Celia will be celebrating her 18th birthday. She plans to purchase coin purses as give away gifts A purse costs 50 pesos. How much will the number of coin purses (n) cost if the total cost i represented by A? Write the rule or equation of the situation and give at least 3 ordered pairs.
PLSSS PATULONG PO
Answer:
Rule: A=50n
Step-by-step explanation:
Because each purse is 50 pesos, and n is the number of purses, and 50n would be the total cost, otherwise known as A.
Our rule is: A=50n
Then we insert 3 values for n, and solve to get the ordered pairs.
n=3 purses, A=3*50=150 dollars
n=4 purses, A=200 dollars
n=5 purses, A=250 dollars
If (-3, y) lies on the graph of y = 3^x, then y =
-1
1/27
-27
Answer:
1/27
Step-by-step explanation:
If (-3, y) lies on the graph of y = 3^x, then we can find y by filling in the given x and calculating y
They gave us that x is -3 (the first number in an ordered pair is the x).
y = 3^x
y = 3^(-3)
y = 1/(3^3)
**You "fix" a negative exponent by pushing across a fraction bar; that changes the sign of an exponent**
y = 1/27
Because3^3 is 3×3×3 is 27
Please help
Me with this!
Answer:
22
Step-by-step explanation:
Let x represent the number of houses on each street. Normally, Jake delivers 7x papers, and Ryan delivers 3x papers. On the day when Ryan delivered 45 of Jake's papers, we have ...
(3x +45) > (7x -45)
90 > 4x . . . . . . . . . . . add 45 -3x to both sides
22.5 > x . . . . . . . . . . divide by 4
The number of houses on each street will be an integer, so the maximum number of houses on each street is 22.
_____
Additional comment
If Jake normally delivers more than 45 papers, then we must also have ...
7x > 45
x > 6 3/7
There must be at least 7 houses on each street.
PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST
GIVING BRAINIEST IF CORRECT!!!!
Kelsey and Jeffrey were deciding how best to factor the expression 4x^2 - 100. Kelsey said this is a GCF question, but Jeffrey said it is a DOTS question. Who is correct and why?
Answer:
4 ( x - 5 ) x ( x + 5 )
Step-by-step explanation:
1- Factor the expression
2- Factor the expression
Answer:
They are both correct because you should use both to solve the question. To solve it you will have to find the GCF first and then you find the difference of two squares.
Step-by-step explanation:
4x^2 -100
[tex]4(x ^{2} - 25)[/tex]
This would be finding the Greatest common factor
[tex]4(x - 5)(x + 5)[/tex]
This would be finding the difference of two squares
hopefully this is a good enough explanation
A square box is being cut apart and has the measurement shown below what is the surface area of the box
Answer:
73.5 in^2
Step-by-step explanation:
Box has six sides as represented in the image. Since it is a square, you can multiply the 2 sides to find area of the square. 3.5x3.5=12.25 and since there are 6 sides, 12.25x6=73.5.
If you used a random number generator for the numbers from 1 through 20 to play a game, what is the theoretical probability of getting each of these outcomes?
a. A multiple of 3 or a multiple of 7, P(multiple of 3 or multiple of 7)
b. P(even or odd)
c. P(prime or 1)
Answer: See below
Step-by-step explanation:
Game 1:
20 total numbers
Probability = Multiples of 3 and 7/Total Numbers
P = 8/20
P = 2/5 or 40%
Game 2:
20 total even or odd numbers
Probability = Number of even and odd/Total Numbers
P = 20/20
P = 1 or 100%
Game 3:
8 prime numbers and 1 = 9 total
Probability = Number of prime numbers or 1/Total Numbers
P = 9/20 or 45%
a) The probability of a multiple of 3 or a multiple of 7 is 40%.
b) The probability of even and odd is 100%.
c) The probability of the number being prime is 45%.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Game 1:
20 total numbers
Probability = Multiples of 3 and 7/Total Numbers
P = 8/20
P = 2/5 or 40%
Game 2:
20 total even or odd numbers
Probability = Number of even and odd/Total Numbers
P = 20/20
P = 1 or 100%
Game 3:
8 prime numbers and 1 = 9 total
Probability = Number of prime numbers or 1/Total Numbers
P = 9/20 or 45%
To know more about probability follow
https://brainly.com/question/24756209
#SPJ2
find four consecutive odd integers such that the sum of twice the smallest and the largest is 11 more than the sum of the middle two integers
Answer:
x+(2+x)+(4+x)+(6+x)= x+12
2x + 6+x = 3x +6
2+ x + 4+x= 2x + 6
2x + 6 + 11 = 3x+6
2x + 17 = 3x +6
3x-2x = 17-6
x = 11
therefore the four consecutive odd integers are
11, 13, 15 and 17
Activity
In this activity, you will first find the cubes of positive and negative numbers and
then find whether the solution to an equation is a perfect cube.
Question 1
Part A
Complete the table by cubing each positive x-value.
PLS HELPPP???!!
Answer:
2 8
3 27
4 64
5 125
6 204
7 343
8 512
9 729
10 1000
The number of calories in a sample of hamburgers from six fast food restaurants are
360 310 280 330 310 340
What is the mean
Answer:
The mean is 321.67 which can be rounded to 321.7 or 322
Step-by-step explanation:
360+310+280+330+310+340 = 1930
1930 / 6 = 321.666666667
The mean is 321.67 which can be rounded to 321.7 or 322
Hope this helps!
Someone help me please
Answer:
A is 75
B is 15
C is 105
Step-by-step explanation:
90-75=15
B is 15
A and C have a total of 180 degrees
180-75=105
C is 105
180-105=75
A is 75
V=lxwxh……………………….::::
Answer:
below
Step-by-step explanation:
6x6x3=108
If correct Brainliest
Answer:
11y+22
Step-by-step explanation:
Answer and Step-by-step explanation:
For this equation, you need to use the distributive property. Before we can solve this, we need to know what the distributive property is. (Important:) The distribute property is where a number is directly outside the parenthesis and is multiplied to each number inside the parenthesis.
With that being said, let's rewrite this expression. Because 11 is outside the parenthesis, multiply it to each of the numbers inside the parenthesis. The numbers 11 x 2 = 22, so:
(y + 2)11 = 11y + 22.
We can remove the parenthesis now that the equation has changed. The reason why the 11 is in front of the y is because it is a coefficient. Coefficients always are written before a variable, which is the y in this case.
So, the answer is 11y + 22.
I hope that this helps.
100 points!!!
Find the domain and range of the relation show on the graph
Answer:
The domain of the relation is 0 ≤ x ≤ 4
The range of the relation is all real numbers (-∞, ∞)
Step-by-step explanation:
Domain : the set of possible x-values (the "input" values)
Range : the set of y-values (the "output" values)
The domain of the relation is 0 ≤ x ≤ 4
The range of the relation is all real numbers (-∞, ∞)
How to identify domain and range from coordinate pairs?
If x,y is a pair then x is domain and y is range.Here
Domain is [0,4]Here range is
(-oo,oo)Explain how you can use fractions greater than 1 to subtract mixed numbers.
what is ...(minus the given fractions and answer the answer as a fraction)
1/10 - 1/100
3/4 - 3/8
Answer:
−9583333/10000000
Step-by-step explanation:
PLease hurry! i need it! And the testing thing is happening, so before 6 pm?
Answer:
y = 6
Step-by-step explanation:
Given system of equations:
[tex]\begin{cases}-x+3y=9\\y = \dfrac{2}{3}x\end{cases}[/tex]
Step 1: Substitute the second equation into the first and solve for x.
[tex]\\\implies -x+3\left(\dfrac{2}{3}x\right)=9\ \textsf{[ Multiply. ]}\\\\\implies -x+2x=9\ \textsf{[ Combine like terms. ]}\\\\\implies \boxed{x=9}[/tex]
Step 2: Substitute 9 as the value of x in any equation and solve for y.
[tex]\\\implies-9+3y=9\ \textsf{[ Add 9 to both sides. ]}\\\\\implies -9+9+3y=9+9\\\\\implies 3y=18\ \textsf{[ Divide both sides by 3. ]}\\\\\implies \dfrac{3y}{3}=\dfrac{18}{3}\\\\\implies \boxed{y=6}[/tex]
The solution to the given system of equations is (9, 6).
Learn more here:
brainly.com/question/27868564
Nuka is weaving beaded strips. The double number line shows that they can weave 7 cm of the strip in 4
minutes.
4
+
+
0
Time
A
(minutes)
Length
(cm)
H
0
+ +
7
Based on the ratio shown in the double number line, what length can Nuka weave in 5 minutes?
cm
Report a problem
Number lines are used to represent numbers and ratios using regular intervals
Nuka can weave 8.75 cm of strip in 5 minutes
How to determine the length of stripRepresent the ratio with:
Ratio = Length : Time
From the number line, they can weave 7cm of the strip in 4 minutes.
So, we have:
Ratio = 7cm : 4 minutes
Represent the length of strip made in 5 minutes with x.
So, we have:
x : 5 minutes = 7cm : 4 minutes
Remove the common units
x : 5 = 7cm : 4
Express as fraction
[tex]\frac x5 = \frac 74[/tex]
Divide 7 by 4
[tex]\frac x5 = 1.75[/tex]
Multiply through by 5
[tex]x= 8.75[/tex]
Hence, Nuka can weave 8.75 cm of strip in 5 minutes
Read more about double number lines at:
https://brainly.com/question/26629835
(image is question) ................................
Answer:
2x^2
Step-by-step explanation:
If you're going to double x^2, you just need to multiply it by 2. You can just put the 2 in front of the x^2 because the order of operations says to do exponents before multiplication.