Answer:
[tex]\huge{\boxed{\sf{ -20i^{2} + 48i - 16}}}[/tex]
Step-by-step explanation:
( 8 - 4i ) ( 5i - 2 )
Use the distributive property to multiply each term of the first binomial by each term of the second binomial.
⇒[tex]8 ( 5i - 2 ) - 4i ( 5i - 2 )[/tex]
⇒[tex]40i - 16 - 20i^{2} + 8i[/tex]
Combine like terms.
Like terms are those which have the same base.
⇒[tex]- 20i^{2} +40i+ 8i - 16[/tex]
⇒[tex]-20i^{2} + 48i - 16[/tex]
Hope I helped!
Best regards!
~TheAnimeGirl
Plz help me with number 1
Andrea conducts a science experiment and observes that the height of a plant depends on the amount of sunlight it receives. The plant’s height is 37 centimeters, and it grows at a rate of 0.004 centimeter per hour of sunlight. If the number of hours of sunlight is represented by the variable s, which function can represent the height of the plant?
s(h) = 0.004h – 37
f(h) = 37h + 0.004
f(s) = 0.004s + 37
Answer:
f(h) = 0.004s + 37
Step-by-step explanation:
The correct representation of the height of the plant is;
f(h) = 0.004s + 37
Given parameters;
Height of plant = 37cm
Rate of growth = 0.004cm/hr
Number of hours of sunlight = s
To solve this problem, the height of the plant is directly dependent on the amount of sunlight;
f(h) signifies that height is a function
The height of the plant is 37cm;
f(h) = 37
The plant grows at a rate of 0.004cm/hr; number of hours of sunlight is s;
0.004s
Therefore;
f(h) = 37 + 0.004s
Answer:
f(s)=0.004s+37
Step-by-step explanation:
Katelyn ate 1/3 of an apple pie, and Chad ate 3/8 of the same pie. What fraction of the pie was eaten?
Answer:
17/24 or 0.708333
Step-by-step explanation:
hope that helps :)
Please answer this, i really need it its my last question
Answer:
y=-4 to 4
x=-1 to -7
Step-by-step explanation:
A recipe that yields 12 cups of soup calls for 28 ounces of beef broth. How many ounces of beef broth do you need to make 18 cups of the soup?
Answer:
42 ounces.
Step-by-step explanation:
First, divide the 28 ounces by the 12 cups. You would then have 2.33333333333 ounces of beef needed for one cup of soup. Then, you would multiply that by 18, and you would get 48.
What is 13,439 plus 26,948
Answer:
13,439+26,948= 40,387
R
$
Landon invests $3000 into stocks. The
account has a rate of 10% and is com-
pounded annually. How much money is
in the account after 5 years? How much
interest did he earn?
Please help me!, 40 points!
Answer:
what is the question
Step-by-step explanation:
Answer:
What is the question?
Step-by-step explanation:
Please help!!!!!!!!!
Answer:
bottom one
Step-by-step explanation:
Suppose you had two circular objects. Let the first circular object have a diameter of 26 cm and let second circular object have a diameter that is half as long as the diameter of the first. What would the circumference be for the second item in centimeters?
Answer:
40.82cm
Step-by-step explanation:
half of 26 is 13
the second's circle diameter is 13
the formula for circumference is C = 2πr
where r is the radius and π is 3.14
diameter =2r
13 = 2r
r = 6.5
2 x 6.5 x 3.14 = 40.82
40.82 cm
Help me ASAP please!!!
Answer:
30 centimeters
Step-by-step explanation:
You have to find the scaling of the lengths first, and to do that, you divide the 20 by 8, which would be 2.5. After, you multiply 2.5 by 12 to get your answer.
Answer:
30
Step-by-step explanation:
20 divided by 8 is 2.5, so you know that the triangle expanded by 2.5.
Multiply the small triangle's length by 2.5 to get your answer of 30.
For a regular 36-sided polygon, what is the degree of rotation?
360-gon all have 80-degree rotational symmetry.
Answer:
360-gon all have 80-degree rotational symmetry.
Step-by-step explanation:
Approximate √60 to the nearest tenth with step by step directions please! And thanks!
Answer:
7.7 is the answer
Step-by-step explanation:
(credit to manics.info)
Step 1:
Calculate the square root of 60 to be:
√60 = 7.74596669241483
Step 2:
Reduce the tail of the answer above to two numbers after the decimal point:
7.74
Step 3:
Round 7.74 so you only have one digit after the decimal point to get the answer:
7.7
To check that the answer is correct, use your calculator to confirm that 7.72 is about 60.
Hope this help and have a great day!
I don’t get it someone help it’s due in 40 minutes
===========================================================
Explanation:
To find the slope, all you need are two points.
Pick any two columns to form the two points. Once you have your two points, use the slope formula
I'll use the first two columns
m = (y2-y1)/(x2-x1)
m = (12.2-13)/(4-0)
m = -0.8/4
m = -0.2 is the slope
The y intercept is b = 13 since x = 0 leads to y = 13 (column 1)
With m = -0.2 and b = 13, we go from y = mx+b to y = -0.2x+13
George is in a book club. He earns 6 points for every 9 books he reads, and he needs to earn 24 points to receive a free book. How many points does he earn per book?
Answer:
36 books
Step-by-step explanation:
9=6
6*4=24 (9*4=36)
I need help asap please
Answer:
its correct
Step-by-step explanation:
Answer:
I can help
Step-by-step explanation:
but i don't see the rest of the question lol
3.5 in/year=cm/day
help
Answer:
.024 cm/day
Step-by-step explanation:
What is the following equation in standard form? y= - 1/6x + 5
Answer:
x+6y=30
Step-by-step explanation:
18 > 5k + k
A. K> 3
B. K >-6
C. K > - 1
D. K<3
Answer: k < 3
......................
Given: 9-4x = -19
Prove: x = 7
Answer:
Easy
Step-by-step explanation:
-19-9=-28
-28/-4=7
thus x=7
what is the graph of y= -4x -1?
Answer:
The y-intercept is -1
The slope is -4 so you will go down 4 and over 1 to the right.
The line is negative
So it will be pointing Northwest and Southeast \ that way.
Step-by-step explanation:
Did you understand this??
Movers Company manufactures sneakers. The production of their new sneaker for the coming three months is budgeted as follows: August 30,000 September 50,000 October 35,000 Each sneaker requires 2 hours of direct labor time. Direct labor wages average $15 per hour. Monthly overhead averages $10 per direct labor hour plus fixed overhead of $4,500. What is the direct labor cost budgeted for September?
Answer:
Direct labor cost= $1,500,000
Step-by-step explanation:
Giving the following information:
Production:
September 50,000
Each sneaker requires 2 hours of direct labor time.
Direct labor wages average $15 per hour.
First, we need to calculate the number of direct labor hours required:
Direct labor hours= 50,000*2= 100,000 hours
Now, the direct labor cost:
Direct labor cost= 100,000*15= $1,500,000
What is the value of x?
Answer:
x = 32
Step-by-step explanation:
Each angle of the equilateral triangle is 60°.
(2x -4)° = 60°
x -2 = 30 . . . . . . divide by 2°
x = 32
__
5y° = 60°
y = 12 . . . . . . . . . divide by 5°
Which of the following statements is true?
A.
The rational number system is not closed under multiplication, because the product of two rational numbers is not always an irrational number.
B.
The rational number system is closed under multiplication, because the product of two rational numbers is always a rational number.
C.
The rational number system is not closed under multiplication, because the product of two rational numbers is not always a rational number.
D.
The rational number system is closed under multiplication, because the product of two rational numbers is always an irrational number.
Answer:
its c i tink but im not completly sure
Step-by-step explanation:
Answer: B. The rational number system is closed under multiplication, because the product of two rational numbers is always a rational number.
The explanation is in the photo below:
Please help !!!
The seventh-graders at the middle school are going on a field trip to Hurricane Harbor. They will spend 6 1/2 hours at the water park. The students will need to ride 5 different water slides while they are there. If the time is evenly distributed, how many minutes will the students spend at each water slide?
Answer:
exabit for about 51 min
Step-by-step explanation:
COMMET IF I BE WRONG
Answer:
6 1/2×60=390 390÷5=78
Step-by-step explanation:
They will have an hour and 18 minutes per each water ride.
what is x5/3x + 1/3x=10+7/3x
Answer:
x=6/25 or decimal = x=-0.24
Step-by-step explanation:
I need the answer to this question for my math homework
−3 = x −11
Answer:
x = 8
Step-by-step explanation:
Step 1: Write equation
-3 = x - 11
Step 2: Solve for x
Add 11 to both sides: 8 = xRewrite x = 8Step 3: Check
Plug in x to verify it's a solution.
-3 = 8 - 11
-3 = -3
Answer:
X = 8
Step-by-step explanation:
8-11= -3. I think the easiest way to solve this if you are new to negative numbers is to use a number line.
Good luck!
What is the result when x^3+2x^2– 11x + 8 is divided by x - 1?
Answer:
result is x^2+3x-8 sorry for the photo quality
solve the equation. check your answer.
-14 = -4(9x - 1)
Answer:
x = 0.5
Step-by-step explanation:
First, distribute -4 to the parentheses:
-14 = -4(9x - 1)
-14 = -36x + 4
Subtract 4 from both sides:
-18 = -36x
Divide each side by -36
0.5 = x
x = 0.5
➠ -14 = -4(9x - 1)
Multiplying by -1 on both sides,
we ge[tex]t[/tex]
➠ 14 = 4(9x - 1)
➠ 14 = (4 × 9x) - (4 × 1)
➠ 14 = 36x - 4
➠ 36x = 14 + 4
➠ 36x = 18
➠ x = 18/36
➠ x = 1/2
➠ x = 0.5
Hope It Helps!What’s the answer please help
Answer:
The correct answer is a.