An imaginary number is denoted by i.
The value of i is √-1.
Imaginary number.
i= √-1
i² = -1
i³ = -i = -√-1
The product of 3i (5 - 3i) in the form of a + bi is
9 + 15i.
What is an imaginary number?An imaginary number is denoted by i.
The value of i is √-1.
We have,
Imaginary number.
i= √-1
i² = -1
i³ = -i = -√-1
Now,
3i (5 - 3i)
Removing the parenthesis.
= (3i x 5) - (3i x 3i)
= 15i - 9(-1)
= 15i + 9
= 9 + 15i
This is in the form of a + bi
Thus,
The product of 3i (5 - 3i) in the form of a + bi is
9 + 15i.
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In the right triangle shown, m
30 POINTS!!!
Jordan makes two batches of cookies each week for her book club. Each batch of cookies needs 1 2/3 cups of flour. If she starts with 16 1/2 cups of flour, for how many weeks can she make cookies? Explain your solution.
Answer:
She can make cookies for 4.95 weeks
Step-by-step explanation:
2 x 1 2/3 = 3.333333333
16.5/ 3.333333333 = 4.95
Since Jordan is making two batches of Cookies per week, you need to multiply 2 by the amount of resources needed to bake one batch of cookies. So you multiply 1 and 2/3 by 2 to get the amount of resources neccesary for one week of making cookies. Then, you take the full amount of resources that she has, and divide that by the amount she uses per week, that number will give you the number needed to figure out how many weeks she has to bake cookies.
To figure out the number that is being divided to get the whole number in weeks, you would take the 16.5 cups of flour. The reason why this is, is because that Is the starting number of cups that she has. So here you would need to divide the amount you are taking from it each week. This will result in the amount of weeks that she is able to bake cookies with her flour.
Find the probability of drawing two diamonds in a row from a standard deck of 52 cards. After the first card is drawn it is set aside and not returned to the deck.
Answer: 1/17
Step-by-step explanation:
First and foremost, we should note that there are 13 diamonds in a standard deck of 52 cards.
If the first card is drawn, the probability of picking a diamond is 13/52. Since it's not replaced, when another one is picked, the probability that it will be diamond will be 12/51.
We then multiply both together. This will be:
= 13/52 × 12/51
= 1/4 × 4/17
= 1/17
pls answer the question!
Answer:
the first third and fourth one
Step-by-step explanation:
16 / 3/4= 16(keep) x (change from dividing to multiplying) 4/3 (flip)
15 / 3/5= 15 (keep) x (change from dividing to multiplying) 5/3 (flip)
12 / 4= 12 (keep) x (change from dividing to multiplying) 1/4 (flip)
so you keep the first number change the sign like for example if its dividing you'll change it to multiplying and if its adding you'll change it to subtracting then flip the fraction
hope this helped!!!
can i pleaseeee get brainliest thanks :))
_2) Solve for r: 3r + 2-r=-4
A. 3
B.-3
C. 4
D.-4
Answer:
B. -3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Step-by-step explanation:
Step 1: Define
3r + 2 - r = -4
Step 2: Solve for r
Combine like terms: 2r + 2 = -4Subtract 2 on both sides: 2r = -6Divide 2 on both sides: r = -38. According to the scores on the last math test, 80% or 20. of the students in the class received an A. Find the number of students in the entire class.
Answer:
24
Step-by-step explanation:
20+20% is equal to 24.
Help! Algebra 1! Will mark brainliest!
What is the solution to -3/4x+2_<-7?
PICTURE IS ATTACHED.
Answer:
x ≥ 12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
-3/4x + 2 ≤ -7
Step 2: Solve for x
Subtract 2 on both sides: -3/4x ≤ -9Divide -3/4 on both sides: x ≥ 12my friend needs to know the percentage and if its growth or decay
Answer:
Growth
Step-by-step explanation:
If its multiplied by more than 1.0 its growth, if less, its decay
yall in winter break already????
Answer:
nahhhhhhhh. Will be tomorrow tho wbu?.
Answer:
no I think tomorrow is the winter break
Step-by-step explanation:
so sad
an English teacher would like to divide 15 boys and 6 girls into groups each with the same combination of boys and girls and nobody left out what is the greatest number of groups that can be formed
Answer:
7groups
Step-by-step explanation:
15+6/3=7groups
pls help meh...... with the question.....pls it's urgent ...........
if i will be correct....u will be marked as brainliest and and I will follow u....... thanks
Answer:
Decimal Places
1.6962 = 1.70 (2 d.p)
0.4247 = 0.425 to 3 d.p
0.007395 = 0.007 to 3 d.p
0.007395 = 0.0074 (4 d.p)
Significant Figures
32 549 = 32 500 (3 s.f)
32 549 = 32 550 (4 s.f)
909 520 = 910 000 (3 s.f)
909 520 = 909 500 (4 s.f)
Hope this helps :)
A small container of detergent holds 75% as much as the large container of detergent. If the small container hold 36 ounces, the large container will hold ounces.
Answer:
48 ounces
Step-by-step explanation:
Let the amount in small container be x and that of largest be y
If a small container of detergent holds 75% as much as the large container of detergent, this can be represented as;
x = 75% of y
Given x = 36
36 = 75% of y
36 = 0.75y
y = 36/0.75
y = 48 ounces
Hence the large container will hold 48 ounces
An equipment rental company charges $40 per day to rent a trench digger. A construction crew rented a trench digger for 6 days and paid 270. Write a linear equation in slope-intercept form that represents the total cost to rent the trench digger as a function of the number of days.
What should x and y equal, what is the y-intercept, and what is the equation
BTW THIS IS 40 POINTS
Answer:
y = 40x + 30Step-by-step explanation:
$40 per day represents the slope
Finding the y-intercept:
270 - 6*40 = 30The function is then:
y = 40x + 3012 out of 52 cards in a deck are face cards. What percentage of cards in a deck are face cards, to the nearest whole percent?
its too late but 23.08 so I'm sorry I took so long
IS THIS RIGHT? PLS HELP!
Answer:
no
Step-by-step explanation:
I need help please help me
Answer:
y=-1/2+3
Step-by-step explanation:
I am so sorry. Before I accidentally flipped the 1 and the 2
Helpppp plzzzzzzzzz plzzzzzzzzz
-4,-9/4, 1/2,s.r. 5, 3.7
A ratio can be written in three different forms
what are the three forms?
List the intercepts of the graph.
Answer:
D
x-intercepts = (-[tex]\frac{\pi }{2}[/tex],0), ([tex]\frac{\pi }{2}[/tex],0)
y-intercept = (0,3)
can you please i beg you.
9514 1404 393
Answer:
a) 9/2 = 4.5, bushels per hour
b) (3, 10), (6, 20), (9, 30), (12, 40)
c) Shawn
Step-by-step explanation:
a) The line goes through the grid point (4, 18), so its slope is ...
18/4 = 4.5 . . . . slope = "unit rate"
The units are (y-units)/(x-units) = bushels/hour.
__
b) You have correctly filled in the table.
Time-values are 3, 6, 9, 12.
Fruit values are 10, 20, 30, 40.
The unit rate for Carla is ...
10 bu/(3 h) = 3 1/3 bushels/hour ≈ 3.33 bushels/hour
__
c) Shawn's unit rate of 4.5 bushels per hour is greater than Carla's unit rate of 3.33 bushels per hour. Shawn picked fruit at a faster pace.
A school has 100 students. on friday, 70 students went on a field trip. what percent of the students did not go on the field trip
Using percentages we know that 30% of students did not go on the field trip.
What is the percentage?A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" is also used, the percent symbol, "%," is frequently used to indicate it. 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.So, the percentage of children that did not go to school:
The total number of students is 100.Students that went on the trip are 70.Students that did not go:
100 - 70 = 30 students30 students are % of 100:
30/100 × 100.30 × 10030%Therefore, using percentages we know that 30% of students did not go on the field trip.
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Mi-Young makes 24 cups of seafood kalguksu.This is 60% of the total kalguksu she makes.
Complete question :
Mi-Young makes 24 cups of seafood kalguksu.This is 60% of the total kalguksu she makes. Total kalguksu made is?
Answer:
40 cups
Step-by-step explanation:
Given that :
24 cups = 60% of total made
Let total kalguksu made = x
Hence,
24 cups = 0.6x
24 = 0.6x
Divide both sides by 0.6
24/0.6 = x
x = 40
Hence, total seafood Kalguksu made = 40 cups
;-;
Think you can lend me some help?
Answer:
0
Step-by-step explanation:
0 to the power of anything is 0.
For example,
[tex]0^1 = 0\\0^2 = 0\\0^3 = 0\\\\[/tex]
Technically speaking 0^4 is just 0*0*0*0 and all that equals 0.
I hope this helps!!
If you have any questions feel free to ask!
- Kay :)
Mr. Miller has a 20-foot ladder, which he
wants to reach 18 feet up the side of his
house. To the nearest foot, how far from the
base of the house should he place the
ladder?
Answer:
8 ft
Step-by-step explanation:
the ladder will make a right angle triangle with the house. The hypotenuse of the triangle is the ladder, 20 ft, and the height of the triagnle is 18 ft.
Solve for the base of the right angle triangle using pythagorean's theorem:
c=20, a=18, b=?
[tex]b^{2}=c^{2} - a^{2}\\b^{2}=20^{2} - 18^{2}[/tex]
[tex]b=\sqrt{72}[/tex]
[tex]b= 8.49 ft[/tex]
round to the nearest foot,
b = 8 ft
Helpppppppppppppppppp
Plz, Help me with this question.
Answer: I think it is the last question
Step-by-step explanation:
The constant in 2x+8
Answer:
k = 1/4 is the constant variation of 2x+8
Step-by-step explanation:
Hope it's correct ;D
You have made a poster that is 4 feet by 5 feet to hang on a wall, you want to use the reaming 10 sqaure feet of fabric to add a decorative border width. What should the width of the border be
Answer:
0.556 foot wide or 6 ²/₃ inches wide
Step-by-step explanation:
first we must calculate the total perimeter of the poster that will be decorated with the fabric:
the total perimeter of the poster = 4 + 4 + 5 + 5 = 18 feet long
you have 10 square feet of fabric, so its width should be 10 / 18 = 0.556 foot wide or 6 ²/₃ inches wide
Karsyn has a piece of wood that is 3 feet long. if she uses 2 and 13/16 feet to make a bookshelf, how many feet of wood does she have left?
Answer:
3/16 is left
Step-by-step explanation:
21a + 9......,.......
Answer:
What is the full question?
Step-by-step explanation:
Answer:
I think you have to factor 3 out of 21a+9 which is 3(7a+3). I hope this helps:)
Step-by-step explanation: