Answer:
see below
Step-by-step explanation:
What is the product of complex conjugates?
( a+bi) (a-bi)
FOIL
a^2 -abi+abi -b^2i^2
a^2 + b^2
C. The product of complex conjugates is a sum of two squares and is always a real number.
What are the factors (5+i) and (5−i) called?
These are called complex conjugates because the imaginary parts are opposites
C. complex conjugates
What is the sum of the complex numbers −9−i and −5−i?
-9-i+-5-i
Add the real parts
-9-5 = -14
Add the imaginary parts
-i-i = -2i
-14-2i
B. −14−2i
What is the product of the complex numbers 8i and 5i?
8i*5i = 40 i^2
We know that i^2 = -1
40*-1 = -40
B. −40
I NEED HELP ASAP PLEASE!!!
Q2 If 2w + 7 = ─9, what is the value of 15 – 4w? (4 is negative)
Q3 Solve the following equations: a) 3/4(16m − 24) = –48 (24 is negative) b) –20 = 1/6(36 + 12g)
Answer:
Q2: -17
Q3: a) -5/2 b) g = -13
Step-by-step explanation:
2w+7 = -9
2w = -9 - 7
w = -16/2
w = -8
---
15 - 4w
= 15 - 4(-8)
= 15 - 32
= -17
----------------------
Q3:
a) 3/4(16m-24) = -48
16m -24 = -48 ÷ 3/4
16m = -64 + 24
16m = -40
m = -5/2
b) -20 = 1/6(36+12g)
-20 = 1/6 × 6(6+2g)
(cross out the 6 from 1/6 and 6)
-20 = 6 + 2g
-20-2g= 6
-2g = 6+20
-2g = 26
g = 26/-2
g = -13
About how much farther is it to drive than to walk directly from building A to building B? Round to the nearest whole number.
183 meters
250 meters
366 meters
683 meters
Answer:
A. 183 meters
Step-by-step explanation:
Building A and building B are 500 meters apart. There is no road between them, so to drive from building A to building B, it is necessary to first drive to building C and then to building B. About how much farther is it to drive than to walk directly from building A to building B? Round to the nearest whole number. A) 183 meters B) 250 meters C) 366 meters D) 683 meters
Find distance BC
Cos (60°)=BC / AB (Adjacent divided by the hypotenuse)
Cos (60°)=1/2
BC=a
AB=500
Cos (60°)=BC / AB
1/2=a/500
1/2 * 500=a
250=a
a=250m
Find distance AC
Sin(60°)=AC/AB (opposite side divided by hypotenuse)
Sin(60°)=√3/2
AC=b
AB=500
Sin(60°)=AC/AB
√3/2=b/500
√3/2 * 500=b
250√3=b
b=433m
Distance AC and BC=AC+BC
433m+250m=683m
Subtract the distance AB from AC+BC
= 683m - 500m
=183m
Answer is A. 183 meters
Answer:
A. 183 meters
Step-by-step explanation:
sin(60) = x/500
= 433
tan(60) = 433/x
= 250
This is the driving distance. 433+250= 683. Directly walking (using hypotenuse distance) is 500.
683-500=183!
(10 points) Can someone graph this :) Thanks :P
Answer:
Hey there!
Your answer is:
Hope this helps :)
7th Grade Math Answer ASAP Please <3
Answer:
Hey there!
Andrew made a mistake in the last step. -11.8+9.8=2, not -21.6.
Let me know if this helps :)
Help me please
!!!!!!!!!!!!
Answer:
40
Step-by-step explanation:
Angle Formed by Tangent and Secant = 1/2 (DIFFERENCE of Intercepted Arcs)
< WVT = 1/2 ( WT - UW)
3x+4 = 1/2 (( 14x +7) - (7x+11))
Distribute
3x+4 = 1/2 ( 14x +7 - 7x-11)
Combine like terms
3x+4 = 1/2 ( 7x -4 )
Multiply each side by 2
6x +8 = 7x-4
Subtract 6x from each side
+8 = x-4
Add 4 to each side
12 =x
WVT = 3x+4
= 3*12 +4
= 36+4
= 40
The test scores of students in a math class are 46, 40, 50, 43, 35, 41, 50, 42, 38, and 48. What is the mean of this set of data? A. 35.6 B. 40 C. 43.3 D. 50
Answer:
C. 43.3
Step-by-step explanation:
The mean or average of a data set can be found by adding up all the values and dividing by the number of values.
1. Add up all the values
The values: 46, 40, 50, 43, 35, 41, 50, 42, 38, 48
Add them together: 46 +40+50+ 43+35+41+50+ 42+38+48
433
2. Divide by the number of values
Count how many numbers are in the set of data.
Data Set: 46, 40, 50, 43, 35, 41, 50, 42, 38, 48
10 values
Divide 433 by 10
433/10
43.3
The mean of the set of data is 43.3 and the correct answer is C.
Answer:
43.3
Step-by-step explanation:
I added up all the numbers and divided by the number of numbers.
Three friends are at a carnival. Beth goes on 2 rides for $5.00. Zane goes on 5 rides for $12How much does it cost Tina to go on 9 rides?.50.
Answer:
$22
Step-by-step explanation:
Beth=$5.00 for 2 rounds
Zane=$12 for 5 rounds
Tina=$x for 9 rounds
Find x
9 rounds=5 rounds + 2 rounds + 2 rounds
5 rounds costs =$12
2 rounds costs=$5
2 rounds costs=$5
Then,
5 rounds + 2 rounds + 2 rounds= $12 + $5 + $5
9 rounds=$22
It will cost Tina $22 to go on 9 rounds
plz help ASAP!!!!!!!!!!!
WILL MARK BEAINLIST!
If you have a single straight vertical line cross the curve at more than one point, then you do not have a function. In other words, if an x input leads to multiple outputs, then you don't have a function.
Write a real-life problem that you can solve using a 45 degree, -45 degree, -90 degree triangle with an 18-ft hypotenuse. Describe your solution
Answer:
A triangle with angles:
"45°, 45°, 90°"
Is a triangle rectangle, with two catheti of equal length.
Now, there is a lot of problems that you can solve with this:
"Suppose that you want to find the height at which you need to attach a wire in a tree, such that the distance between the tree and the ground is 18ft, and the distance between the base of the tree and the two points where the wire is fixed is exactly the same"
Well, here we have a triangle rectangle with a hypotenuse of 18 ft, with cathetus of equal length (the catheti are the tree and the distance between the base of the tree and the point where the wire is attached at the ground)
And because the catheti are equal, then the angles are 45°, 45° and 90°.
Sally's house is located at (5, −1) and her school is located at (−9, 7). Her best friend Molly lives at the midpoint of Sally's house and school. What coordinate represents Molly's house? A. (2, −3) B. (−2, 3) C. (3, −2) D. (−3, 2)
Answer:
B. (-2, 3)Step-by-step explanation:
Given two coordinates (x₁, y₁) and (x₂, y₂), the coordinate of their midpoint is equivalent to X = (x₁+x₂)/2 and Y = (y₁+y₂)/2.
Given the coordinate of Sally's house and her school to be (5, −1) and (−9, 7) respectively, the midpoint of Sall's house and school is expressed as shown;
from the coordinates, x₁ = 5, y₁ = -1, x₂ = -9 and y₂ = 7
X = (5+(-9))/2
X = 5-9/2
X = -4/2
X = -2
Y = -1+7/2
Y = 6/2
Y = 3
The coordinate of the midpoint of Sally's house and school will be expressed as (X, Y) which is equivalent to (-2, 3).
SOMEONE PLZ HELP ASAP !!!!!!
Answer:
a = 53.13
b = 42.76
c= 0
Step-by-step explanation:
as the question said i was supposed to use a calculator which i did
plz help thanks, will give brainliest!
Answer:
D.
Step-by-step explanation:
[tex]\frac{x^{2/3}}{y^{-3/4}}[/tex]
= [tex]x^{2/3}y^{3/4}[/tex]
= [tex]\sqrt[3]{x^2} * \sqrt[4]{y^3}[/tex]
So, D is your answer.
Hope this helps!
Find the mean of the given frequency distribution table
Answer:
Mean = 32.8
Step-by-step Explanation:
Mean is given as Mean = (Σfx)/Σf
First, find the mid-point, x, of each class, and multiply by the frequency (f) of the class to get fx:
Class ==> f ==> x ==> fx
0-10 => 3 => 5 => 15
10-20 => 8 => 15 => 120
20-30 => 10 => 25 => 250
30-40 => 15 => 35 => 525
40-50 => 7 => 45 => 315
50-60 => 4 => 55 => 220
60-70 => 3 => 65 => 195
Sum the fx of all classes together to get Σfx:
Σfx = 15 + 120 + 250 + 525 + 315 + 220 + 195 = 1,640
Σf = 3 + 8 + 10 + 15 + 7 + 4 + 3 = 50
(Σfx)/Σf = [tex] \frac{1,640}{50} [/tex]
(Σfx)/Σf = [tex] 32.8 [/tex]
Mean = 32.8
Gavin combines Thirty-two and two-fifths ounces of water and 7.15 ounces of lemon juice in a pitcher to make lemonade. Which is the most reasonable estimate for the amount of liquid in the pitcher? 39 ounces 42 ounces 45 ounces 47 ounces
Answer:
OPTION A is correct
39 ounces
Step-by-step explanation:
Given:
The amount of water in the pitcher= 32 ounces
The amount of lemon juice in the pitcher = 7.15 ounces
We were to calculate the most reasonable estimate for the amount of liquid in the pitcher
To do this we need to sum up the Amount of water and Amount of lemon juice in the pitcher because the water is a liquid as well as the lemon juice which is
32 ounces + 7.15 ounces
=39.15 ounces
Therefore, the Estimated amount of liquid in the pitcher is approximately 39 ounces
OI
If sec 50° = a and cot 40° = b, find the value of a2 - b2.
Answer:
a² - b² = 1
Step-by-step explanation:
The given parameters are;
sec 50° = a
cot 40° = b
We note that sec(θ) = 1/cos(θ) and cot(θ) = 1/tan(θ)
a² - b² = sec²50° - cot²40°
Given that sec(90 - θ) = cosec(θ) where; cosec(θ) = 1/sin(θ), we have;
sec²50° - cot²40° = sec²(90° - 50°) - cot²40° = sec²(40°) - cot²40°
sec²(40°) - cot²40° = cosec²(40°) - cot²40°
Also we have;
cosoc²(θ) = 1 + cot²(θ)
Therefore, we have;
cosoc²(40°) - cot²40° = 1 + cot²(40°) - cot²40° = 1
Therefore, where sec(50°) = a and cot(40°) = b, the value of a² - b² is 1.
solve the following (x-2)+4=3x-2
Answer:
[tex]\boxed{x = 2}[/tex]
Step-by-step explanation:
Hey there!
To find x we need to finagle it out by combining like terms and using the communicative property.
x - 2 + 4 = 3x - 2
Simplify
x + 2 = 3x - 2
-x to both sides
2 = 2x - 2
+2 to both sides
4 = 2x
Divide both sides by 2
x = 2
Hope this helps :)
Answer:
Hey there!
(x-2)+4=3x-2
x-2+4=3x-2
x+2=3x-2
4=2x
x=2
Hope this helps :)
Find the quotient and remainder when p (x) divides with g (x) question (i) P (x) = x raise to 4 - 3 x square +4x + 5, g (x) = x square +5
Answer: [tex]x^2-8+\dfrac{4x+5}{x^4-3x^2+4x+5}[/tex]
Step-by-step explanation:
P(x) = x⁴ - 3x² + 4x + 5
g(x) = x² + 5
_x²_- 8
x² + 5) x⁴ + 0x³ - 3x² + 4x + 5
-(x⁴ + 0x³ + 5x²) ↓ ↓
-8x² + 4x + 5
-(-8x² + 0x - 40)
4x + 45
[tex]\dfrac{x^4-3x^2+4x+5}{x^2+5}=\large\boxed{x^2-8+\dfrac{4x+5}{x^4-3x^2+4x+5}}[/tex]
What is the value of this expression? (the best answer receives a brainiest)
Answer:
answer is D
Step-by-step explanation:
2^4=16
16+(16-12)=20
over
(6+9)/(7-4)
15/3=5
so the new equation is 20/5=4
Answer:
D. 4
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Exponents
[tex]\frac{16 + (16 -3(4))}{(6+9)/(7-4)}[/tex]
Step 2: Parenthesis
[tex]\frac{16 + (16 -12)}{15/3}[/tex]
Step 3: Parenthesis
[tex]\frac{16 + 4}{15/3}[/tex]
Step 4: Divide
[tex]\frac{16 + 4}{5}[/tex]
Step 5: Add
[tex]\frac{20}{5}[/tex]
Step 6: Divide
4
Please Help ! File is attached
Answer:
Domain: 0 </= x </= 20
Range 0 </= y </= 10
Step-by-step explanation:
Domain is the x values, so 0 to 20, and range is the y values, so 0 to 10
How many gallons of 30% alcohol solution and how many of 60% alcohol solution must be mixed to produce 18 gallons of 50% solution?
Answer:
x = 6 gallons (of 30% alcohol)
y = 12 gallons (of 60% alcohol)
Step-by-step explanation:
Let
x = liters of 30% alcohol
y = liters of 60% alcohol
There are two unknowns, we need two equations
x + y = 18. (1)
0.30x + 0.60y = 0.50(x+y) (2)
From (1)
x + y = 18
y = 18-x
Substitute the value of y into (2) and solve for x:
0.30x + 0.60y = 0.50(x+y)
0.30x + 0.60(18-x) = 0.50(x+18-x)
0.30x + 10.8 - 0.60x = 0.50(18)
10.8 - 0.30x = 9
-0.30x = -1.8
Divide both sides by -0.30
x = 6 gallons (of 30% alcohol)
Substitute x=6 into (1) and solve for y:
x + y = 18
6 + y = 18
y = 12 gallons (of 60% alcohol)
What roles did militias play in the American Revolution? Your answer:
Hey there! I'm happy to help!
A militia is a local army. During the Battle of Lexington and Concord, the local militia (called minutemen), the militia outnumbered the British at Concord and chased them all the way back to Boston. The militia aided in many American victories during the Revolutionary War.
I hope that this helps! Have a wonderful day! :D
An entomologist is studying the reproduction of ants. If an ant colony started with 50 ants, and each day, their population increases by 10%, how many ants will be in the colony 5 days later? *
Step-by-step explanation: Ants are one of the most abundant insects on our planet and the reasons are their eusocial, complex societal behaviors and their ability to survive in many and various ecosystems. Like most other animal societies, reproduction is one of the core reasons why ants are so prevalent.
Acrobat Ant
Reproduction for ants is a complex phenomenon that involves finding, selecting and successfully fertilizing females to ensure that the eggs laid are able to survive and molt through the successive stages of the ant’s life cycle – larvae, pupae and adults.
Answer:
81
Step-by-step explanation:
Start: 50
After 1 day: 50 * 1.1
After 2 days: 50 * 1.1 * 1.1 = 50 * 1.1^2
After 3 days: 50 * 1.1^2 * 1.1 = 50 * 1.1^3
...
After 5 days: 50 * 1.1^5 = 80.53
Answer: 81
a garden is 18 feet 3 inches long and 10 feet 8 inches wide. the amount of fencing needed to enclose the garden is Need help and will mark brainlist
Answer:
[tex]\boxed{57ft 10in}[/tex]
Step-by-step explanation:
Hey there!
Well if the length is 18 and 3 inches we need to find the sum of both lengths,
18ft 3in + 18ft 3in = 36ft 6in
Width- 10ft 8in + 10ft 8in = 20ft 16 in -> 21ft 4in
l + w = 57ft 10in
Hope this helps :)
evaluate x³ for x=2.
Answer:
8
Step-by-step explanation:
If we have anything to the third power, we are multiplying the number by itself 3 times.
If x = 2, then the expression is [tex]2^3[/tex].
[tex]2\cdot2\cdot2=8[/tex]
Hope this helped!
Answer:
8
Step-by-step explanation:
Exponents is repeated multiplication, so what we are doing in this problem is that we are multiplying 2 by itself 3 times.
2 * 2 = 4
4 * 2 = 8
What is the image point of (-5,9) after a translation left 1 unit and down 1 unit?
Answer: (-6,8)
Step-by-step explanation:
Translation is a rigid motion inn which every point of the figure moved in the same direction and for the same distanceTranslation rules are
Left c units : [tex](x,y)\to(x-c,y)[/tex]
Down c units : [tex](x,y)\to(x,y-c)[/tex]
The image point of (-5,9) after a translation left 1 unit and down 1 unit will be:
[tex](-5,9)\to(-5-1,9-1)=(-6,8)[/tex]
Hence, the image point is (-6,8).
Evaluate the following expression if v = 5 and w = -3: 6v - w. Type the number answer only. For example: if the answer was value is 17, then you would type 17 in the blank.
Answer:
33
Step-by-step explanation:
6v - w =
6(5) - (-3) =
30 + 3 =
33
A manufacturing company is expected to pay a dividend of br. 1.25 per share at the end of the year (D1=br.1.25). The stock sells for br. 32.50 per share and its required rate of return is 10.5%. The dividend is expected to grow at some constant rate forever. What is the growth rate
Answer:
the equilibrium expected growth rate is 6.65%
Step by step Explanation:
We were given stock sold per share of $32.50
Dividend per share =$1.25
Required Return rate = 10.5%
Then we can calculate Percentage of Dividend for share as;
dividend of br. 1.25 per share at the end of the year (D1=br.1.25)
= 1.25×100= 125
Let the dividend percentage = y
stock sold per share × y= 125
125= 32.50y
y = 125/32.50
y= 3.85
y= 3.85*100%
Then the Dividend percentage = 3.85%
Growth rate=(required rate of return -Dividend percentage)
= 10.5 - 3.85 = 6.65
Therefore, the equilibrium expected growth rate is 6.65%
1.2 Exit Ticket
POSSIBLE POINTS: 0.5
Below are the total number of students for each teacher in the Arts department. Round to the nearest tens place in order to estimate the total amount of
students enrolled in an art course,
132, 145, 97, 112, 128, 82
1
2
RE
Answer:
174
Step-by-step explanation:
Given
132, 145, 97, 112, 128, 82
Required
Estimate amount of students in an art class
This is calculated by obtaining the mean of the given data
[tex]Mean = \frac{\sum x}{n}[/tex]
Where n is the number of observations
So; n = 6
[tex]Mean = \frac{132+ 145+ 97+ 112+ 128+ 82}{6}[/tex]
[tex]Mean = \frac{696}{6}[/tex]
[tex]Mean = 174.0[/tex]
Hence, the estimated number of students is 174
Ms. Brown needs 8 eggs in order to make 2 cakes. What is the total number of cakes she could make with 24 eggs?
Answer:
Ms. Brown would need 4 eggs in order to make 1 cake, so if she has 24 eggs you would divide 24 by 4, which is 6. So, Ms. Brown could make 6 cakes with 24 eggs.
Hope this helps!
What is the answer for 3x+2(4x-4)=3?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{x = 1}}}}[/tex]Step-by-step explanation:
[tex] \sf{3x + 2(4x - 4) = 3}[/tex]
Distribute 2 through the parentheses
⇒[tex] \sf{3x + 8x - 8 = 3}[/tex]
Collect like terms
⇒[tex] \sf{11x - 8 = 3}[/tex]
Move 8 to right hand side and change it's sign
⇒[tex] \sf{11x = 3 + 8}[/tex]
Add the numbers
⇒[tex] \sf{11x = 11}[/tex]
Divide both sides of the equation by 11
⇒[tex] \sf{ \frac{11x}{11} = \frac{11}{11} }[/tex]
Calculate
⇒[tex] \sf{x = 1}[/tex]
Hope I helped!
Best regards!
Answer:
x=7/20
Step-by-step explanation:
you have to multiple the outside factor by number which are inside of parenthesis but the signs should be same
3x(4×)=12x
3x(4)=12
2(4x)=8x
2(4)=8
write it as an equation and find the like terms
12x-12+8x-8=3
20x-4=3
Then add 4 and divided
20x-4=3
+4 +4
20x/20=7/20
the is a fraction
x=7/20
