Answer: -4 - 32i
i just took this test
The complex number is equivalent to the given expression (2+I)(8-3i)-(23+34i) is -32i-12.
The given expression is (2+i)(8-3i)-(23+34i).
What is a complex number?A complex number can be visually represented as a pair of numbers (a, b) forming a vector on a diagram called an Argand diagram, representing the complex plane.
Now, apply the distributive property and multiply each term of the first complex number with each term of the second complex number.
That is, (2+i)(8-3i)=8+8i-6i-3i²=8+2i+3 (∵i²=-1)
Now, 2i+11-23-34i=-32i-12
Therefore, the complex number is equivalent to the given expression (2+I)(8-3i)-(23+34i) is -32i-12.
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A rectangular room measuresn 11 feet by 6 feet. find the cost of installing a strip of wallpaper around the room if the wallpaper costs $0.98 foot
Total cost=$
Answer:
The answer is it will cost $64.68.
Step-by-step explanation:
It is (11 x 6)$0.98
(I’m sorry for the horrible quality but please help ASAP) which proportion can be used to show that the slope of PR Is equal to the slope of rt?
Answer:
Correct option: F.
Step-by-step explanation:
The slope of a line
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
To show the slope of PR is equal to the slope of RT, we'll use the extreme points of each segment.
For PR, use P=(-7,7) R=(-4,3). Now calculate the slope
[tex]\displaystyle m=\frac{3-7}{-4-(-7)}[/tex]
For RT, use R=(-4,3) (2,-5). Calculate the second slope:
[tex]\displaystyle m=\frac{-5-3}{2-(-4)}[/tex]
If both slopes are equal, then:
[tex]\displaystyle m=\frac{3-7}{-4-(-7)}=\frac{-5-3}{2-(-4)}[/tex]
Correct option: F.
The amount of W water used varies directly with the population N of people. City A has a population of 468,000 people and used 37.6 billion gallons of water we would expect City B to use if we know that it's population is 180,000.
Answer:
the anser is 36.6 gallos of weeding in the w
Step-by-step explanation:
Substitute the given values into the given formula and solve for the unknown variable. If necessary, round to one decimal place
1 = PRT;1 = 5040, P = 24,000, R=0.07 (Simple interest formula)
Answer:
T = Time = 3 years
Step-by-step explanation:
1 = PRT;
1 = Simple Interest = 5040
P = Principal = 24,000
R = Rate = 0.07
T = Time (years) = ? Unknown variable
Making T subject of the formula
T = 1/PR
T = 5040/24,000 × 0.07
T = 5040/1680
T = 3 years
Most new buildings are required to have a ramp for the handicapped that has a maximum vertical rise of 11 feet for every 132 feet of horizontal distance.
Answer:
11/132 = 1/12
Step-by-step explanation:
just put the rise over the run and simplify
Which of the following pairs of numbers have a greatest common factor of 6?
Select all that apply.
A 6 and 3
B 30 and 36
C 24 and 48
D 60 and 88
E 18 and 66
F 72 and 84
9514 1404 393
Answer:
B, E
Step-by-step explanation:
The greatest common factor can be found a number of ways. Easiest is to make use of your knowledge of multiplication tables and divisibility rules.
Here, the GCFs are ...
A 6 and 3 --- 3
B 30 and 36 --- 6
C 24 and 48 --- 24
D 60 and 88 --- 4
E 18 and 66 --- 6
F 72 and 84 --- 12
_____
Additional detail on finding the GCF
You can factor numbers to see which factors are common:
60 = 2^2 × 3 × 5
88 = 2^3 × 11 . . . . . . . so 2^2 = 4 is the GCF of 60 and 88
You can use the Euclidean algorithm:
Divide the larger by the smaller and keep the remainder; Replace the larger with the remainder and repeat. If the remainder is zero, the divisor is the GCF.
84/72 = 1 r 12
72/12 = 6 r 0 . . . . 12 is the GCF of 72 and 84
.
***
9. The game of euchre uses only the 9s, 10s, it is
jacks, queens, kings, and aces from a standard
deck of cards. How many five-card hands have
a) all red cards?
b) at least two red cards?
c) at most two red cards?
Answer
a) From those information we know that have 24 card
In those cards it have 12 red.
12C5=792
B)
at least 2 red card=No restriction- without red card- at least one red card
= 24C5-(12C0*12C5)-(12C1*12C4)
=35772
C) at most 2 red card
24C5-(12C0*12C5)-(12C1*12C4)-(12C2*12C3)
=21252
A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. The probability of at most 2 red cards is 0.5.
What is Binomial distribution?A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,
P(x) = ⁿCₓ (pˣ) (q⁽ⁿ⁻ˣ⁾)
Where,
x is the number of successes needed,
n is the number of trials or sample size,
p is the probability of a single success, and
q is the probability of a single failure.
Using the given information the number of cards is 24 out of which 12 are red. Therefore, the probability of getting a red card is 0.5.
A) All red cards.
P(X=5) = ⁵C₅ (0.5⁵) (0.5⁰)
= 0.03125
B.) at least two red cards.
P(X≥2) = 1 - ⁵C₀ (0.5⁰) (0.5⁵) - ⁵C₁ (0.5¹) (0.5⁴)
= 0.8125
C.) At most 2 red cards.
P(X≤2) = ⁵C₀ (0.5⁰) (0.5⁵) + ⁵C₁ (0.5¹) (0.5⁴) + ⁵C₂ (0.5²) (0.5³)
= 0.5
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3.
During bad weather, you should travel
the posted speed limit.
A. above
B. below
C. at exactly
D. around
Answer:
Below
Step-by-step explanation:
The reason why "lower than" would be the correct answer is because the DMV (Department of Motor Vehicles) requires that all drivers drive lower than the posted speed limit when the weather is not god.
The reason why you should travel lower than the posted speed limit is because it will keep you and others safe of the road. Bad weather can lead to things like less traction, less vision on the road, and etc.
When you drive slower than the posted speed limit during based weather, you're allowing your self more time to react if something happens, less likely to lose grip, and keeps you and others safe from any accidents.
Like they always say, you should never travel at a speed that's dangerous for the current road conditions.
Which equation demonstrates appropriate use of the distributive property?
A. 9 (x + 2y) = 9x + 2y
B. 9 (x + 2y) = 9x + 18y
C.9 (xy) (9x) (9y)
D. 9 (x + 0) - 9x + 9
Answer:
B
Step-by-step explanation:
Will give brainliest if correct what is the discriminant of the quadratic equation: (multiple choice)
Question 1
What is the 11th multiple of 15?
Answer:
165
Step-by-step explanation:
15*11=165
4+ (-2) + 3(5) simplify
Answer:
Step-by-step explanation:
when there is a + in front of an expression in parentheses, the expression remains the same.
multiply the numbers. 4-2+15
calculate the sum
and u get 17!
LOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOL PT 5 LAST ONE
Answer:
tnbrverwerbtnymu
Step-by-step explanation:
Answer:
THANK YOU SO MUCH !!!!
Keep an eye out for major points! The questions require you to think logically, and are really fun. Correct answers get brainlest! I am just earning more points then i will post.
The following data points represent the number of slices of pizza that each person at Thorton's birthday
party ate.
Sort the data from least to greatest.
7
9
3
2
4
3
1
Find the median number of slices.
slices
Least Greatest
1, 2, 3, 3, 4, 7, 9
Median: 3
A tire shop counted 80 invoices at the end of the month. They charge $325 for a set of new tires and $50 for a set of used tires. The total dollar amount of the invoices was $6,750. Let x represent the number of sets of new tires and y represent the number of sets of used tires. Which system of equations represents the situation?
a. x+y=80
325z=50y + 6,750
b. z+y=80
325x=-50y+6750
c. x+y=80
325x=-50y-6750
d. x+y=80 -325z=-50y + 6,750
Answer:
[tex]x+y = 80\\325x+50y = 6, 750[/tex]
Step-by-step explanation:
Le x represents the set of new tires
Let y be the set of used tires
If a tire shop counted 80 invoices at the end of the month, then the equal that represents the total amount of invoices counted at the end of the month is:
[tex]x+y = 80 ............ 1[/tex]
If they charge $325 for a set of new tires, the total amount charged for new tires will be:
[tex]325 \times x \\325x[/tex]
If they charge $50 for a set of used tires, the total amount charged for used tires will be:
[tex]50 \times y\\50y[/tex]
If the total dollar amount of the invoices was $6,750, then the expression that models the amount generated on tickets will be:
[tex]325x+50y = 6,750 .............. 2[/tex]
Hence the system of equations represents the situation is:
[tex]x+y = 80\\325x+50y = 6, 750[/tex]
Answer:
x + y = 80
325x = -50y + 6,750
Step-by-step explanation:
what is the sum of 2/5 and 3/6?
Answer:
[tex]\frac{9}{10}[/tex]
Step-by-step explanation:
[tex]\frac{2}{5} +\frac{3}{6}[/tex]
[tex]\frac{12}{30} +\frac{15}{30}[/tex]
[tex]\frac{27}{30}[/tex]
[tex]\frac{9}{10}[/tex]
Help with this one please
Answer:
(3x - 14) (2x - 7)
I hope this helps!
4(x + 1) = 4x + 4
The equation has infinite solutions.
A value of x that makes the equation true is
which when substituted into the
equation and simplified makes the equation turn into
Another value of a that makes the equation true is
which when substituted
into the equation and simplified makes the equation turn into
Answer:
the 4 can change to any nummber
Step-by-step explanation:
please help asap 14 points
Answer:
can i friend you
Step-by-step explanation:
x + 5 > 7
it’s inequalities
Answer:
X>2
Step-by-step explanation:
X+5>7
X>2
×= 7+5=12
×=12
always add the the numbers and the letter is always the answer of what u have gotten.
If x= 12 and y=3, what is the value of x-y²?
Answer:
3
Step-by-step explanation:
X=12 Y=3^2
Y^2=3x3 Which equals 9 therefore it is 12-9 which equals 3
Answer:
I believe the answer would be 3.
Step-by-step explanation:
I hope this helps
Someone please answer this it’s due today I need help
Answer:
x = 8
Step-by-step explanation:
3x - 5 = 2.5x + 3 - (x - 4)
open parentheis
3x - 5 = 2.5x + 3 - x + 4
3x - 5 = 1.5x + 7
subtract 1.5x from both sides of the equation
3x - 1.5x - 5 = 7
1.5x - 5 = 7
add 5 to both sides of the equation
1.5x = 7 + 5
1.5x = 12
divide both sides of the equation by 1.5
1.5x/1.5 = 12/1.5
x = 12/1.5
x = 8
function rule y=3x-3
Answer:
-15, -9, -3, 3
Step-by-step explanation:
First One:
y =3(-4)-3 is -15
Second:
y= 3(-2)-3 is -9
Third:
y= 3(0)-3 is -3
Last One:
y= 3(2)-3 is 3
Comparing Two Linear Functions Use the graph and table to answer the questions. Which vehicle loses the most value each year? Car: 20 000 (2. 16500) 15 000 (G, 10900) Which vehicle will lose all of its value first? Value ($) 10.000 5000 6 8 If the truck's rate of depreciation changes to a decrease of $1,650 each year, which vehicle will lose all of its value first? Years Truck: Years: x Value ($) y 21,000 3 17,700 6 14.400
Answer:
Use the graph and table to answer the questions.
Which vehicle loses the most value each year?
Car
Which vehicle will lose all of its value first?
Car
If the truck’s rate of depreciation changes to a decrease of $1,650 each year, which vehicle will lose all of its value first?
Truck
Step-by-step explanation:
Answer:
car car truck
Step-by-step explanation:
i’ll mark brainlest! pls help :(
Answer:
square root: [tex]\sqrt{61}[/tex]
decimal: 7.81
Step-by-step explanation:
How do you write 1.8 x 10 to the power of 2 in standard form.
Answer:
It already is in standard form
1.8*10^2
Answer:
1.8 x 10²(Standard form) = 180 (Real Number)
How to write in standard form?
The rules when writing a number in standard form is that first, you write down a number between 1 and 10, then you write × 10(to the power of a number)
How do you write 1.8 × 10² in standard form?
Write the first number 1.Add a decimal point after it: 1.Now count the number of digits after 1. There are 2 digits.So, in standard form: 180 is 1.8 × 10²5) h(n) = -2n^2+ 4; Find h(4)
Answer:
h(4) = -28
General Formulas and Concepts:
Substituting into functionsOrder of Operations: BPEMDAS
Step-by-step explanation:
Step 1: Define
h(n) = -2n² + 4
h(4) is n = 4
Step 2: Solve
Substitute: h(4) = -2(4)² + 4Exponents: h(4) = -2(16) + 4Multiply: h(4) = -32 + 4Add: h(4) = -28if c= 2m + d ,Wich equation represents m
Answer:
m= (c-d)/2
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
do the math
what is 2848448 X 39494948
Answer:
1.12499306E14
Step-by-step explanation:
i did the math
cual es el valor de la expression
7×3²+3×7+6
Answer:
90
Step-by-step explanation:
7 x (3x3) + (3x7) +6
(7 x 9) + 21+6
63 + 21 + 6
90