multiply -3-i and 3+3i
Answers
Answer:
The product of -3-i and 3+3i is;
\(-6-12i\)Explanation:
We want to multiply the complex number;
\(\begin{gathered} (-3-1)\times(3+3i) \\ (-3-i)(3+3i) \\ -3(3)-3(3i)-i(3)-i(3i) \\ -9-9i-3i-3i^2 \\ -9-12i-3(-1) \\ -9-12i+3 \\ -9+3-12i \\ -6-12i \end{gathered}\)Therefore, the product of -3-i and 3+3i is;
\(-6-12i\)
Related Questions
CAN SOMEONE HELP ANSWER THIS AND EXPLAIN
Answers
Answer:
In the first section the steps are wrong because they ditributed the 2 wrong they 1 shpuld be a 2 in the second row of unbolded numbers
Instructions: Identify the type of sequence and write the explicit rule. write Explicit Rule Sequence: -39, -45, 51, 57,... Type: Arithmetic e Explicit Rule:
Answers
The given sequence does not follow a simple arithmetic or geometric pattern, making it challenging to determine an explicit rule based on the given terms.
To identify the type of sequence and write the explicit rule, we need to examine the pattern of the given sequence: -39, -45, 51, 57, ...
By observing the differences between consecutive terms, we can determine if it follows an arithmetic or geometric pattern.
Arithmetic sequences have a common difference between each term, meaning that by adding (or subtracting) the same value repeatedly, we can generate the sequence. Geometric sequences, on the other hand, have a common ratio between each term, meaning that by multiplying (or dividing) by the same value repeatedly, we can generate the sequence.
Let's calculate the differences between consecutive terms:
-45 - (-39) = -6
51 - (-45) = 96
57 - 51 = 6
From the differences, we can see that the sequence is not arithmetic since the differences are not constant. However, the differences alternate between -6 and 6, indicating a possible geometric pattern.
Let's calculate the ratios between consecutive terms:
-45 / (-39) ≈ 1.1538
51 / (-45) ≈ -1.1333
57 / 51 ≈ 1.1176
The ratios are not constant, indicating that the sequence is neither geometric nor arithmetic.
Therefore, the given sequence does not follow a simple arithmetic or geometric pattern, and it is difficult to determine the explicit rule based on the given terms. It is possible that the sequence follows a more complex pattern or rule that is not apparent from the given terms.
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Given: AD = BC and AD || BC
Prove: ABCD is a parallelogram.
Angles Segments Triangles Statements Reasons
ZBCA
DAC
A
Statements
Reasons
00
D
с
Assemble the proof by dragging tiles to
the Statements and Reasons columns.
Answers
Triangle DAC is congruent to triangle BCA by SAS congruence theorem.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
Given that, AD = BC and AD || BC.
AD = BC (Given)
AD || BC (Given)
AC = AC (Reflexive property)
∠DAC=∠BCA (Interior alternate angles)
By SAS congruence theorem, ΔDAC≅ΔBCA
By CPCT, AB=CD
Therefore, triangle DAC is congruent to triangle BCA by SAS congruence theorem.
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Brian will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $44 and costs an additional $0.10 per mile driven. The second plan has an initial fee of $49 and costs an additional $0.08 per mile driven.
For what amount of driving do the two plans cost the same? _ miles
What is the cost when two plans cost the same? $_
Answers
Answer:
250 miles
69 dollars
Step-by-step explanation:
Plan 1
44+.10m
Plan 2
49 +.08m
Set the two plans equal
44+.10m = 49 +.08m
Subtract .08m from each side
44+.10m - .08m = 49 +.08m-.08m
44+.02m = 49
Subtract 44 from each side
44 +.02m-44 = 49-44
.02m = 5
Divide each side by .02
.02m/.02 = 5/.02
m = 250
The cost is 44 +.10(250)
44 +25
69
1. x^3-2x^2+10x+136=0
2. 2x^3+2x^2-19x+20=0
Answers
Answer:
Step-by-step explanation:
1) x³-2x²+10x+136=0;
the roots are among ±1; ±2; ±4; ±8; ±17... If to substitute x=-4, then 0=0, it means, x= -4 is root of the given equation. Then if to re-write the equation, then (x+4)(x²-6x+34)=0. Finally, the only root, x=-4.
2) 2x³+2x²-19x+20=0;
the roots are among ±0.5; ±1; ±2; ±2.5; ±4; ±5... If to substitute x= -4, then 0=0, it means x=-4 is root of the given equation. Then if to re-write the equation, then (x+4)(x²-3x+2.5)=0. Finally, the only root is x= -4.
can someone help me with this
Answers
The sine equation for the object's height is given as follows:
d = -5sin(0.24t).
How to define the sine function?The standard definition of the sine function is given as follows:
y = Asin(Bx) + C.
The parameters are given as follows:
A: amplitude.B: the period is 2π/B.C: vertical shift.The amplitude for this problem is of 5 inches, hence:
A = 5.
The period is of 1.5 seconds, hence the coefficient B is given as follows:
2π/B = 1.5
B = 1.5/2π
B = 0.24.
The function starts moving down, hence it is negative, so:
d = -5sin(0.24t).
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9. Combine like terms and simplify the expression
(2 Points)
5x + 12x
Answers
you just add the two coefficients together
Answer:
17x
Step-by-step explanation:
(5+12)x=17x
sorry if that's not simple enough
Fill in the table so it represents a linear function.
Answers
Answer:
(From left to right) 2 5 8
Step-by-step explanation:
1. Find the gap (between the first and last terms) 11 - (-1) = 12
2. Divide by the number of times the linear term is added: 12/4=3
3. Use the common difference to find the missing values.
Sera had the number 548.She adds one to the tens and two to the units. What number would Sera end up with??
Answers
The number she'd have is:
560Explanation:
First, let's see which number is in the tens place and which number is in the ones place (the units place).
In the number 548, the place value of 5 is hundreds, the place value of 4 is tens, and the place value of 8 is ones (or units).
So if Sera adds two to the units, she'll have 10. But, since we can't write the number as 5410 (that would be a totally different number), we just write 0 in the units place, and shift 1 to the tens place, which gives us :
550
That's not all, since we also add 1 to the tens:
560
Hence, Sera ends up with 560.Find the midpoint between the points (7, -2) and (-4, 2). Write your answer in the proper form using parentheses
Answers
Answer:
( 1.5, 0)
Step-by-step explanation:
1. Find the coordinates ; in this case (7,-2) and (-4, 2)
2. Plug it into the formula (x1 + x2 ÷ 2 ) , (y1 + y2 ÷ 2)
3. ( 7 + -4 ÷2) = 1.5 And ( -2 + 2 ÷ 2) = 0
4. Therefore, the midpoint is ( 1.5, 0 )
The Centers for Disease Control and Prevention (CDC) screens, assesses, and evaluates children for developmental disabilities. true or false
Answers
TRUE. The Centers for Disease Control and Prevention (CDC) screens, assesses, and evaluates children for developmental disabilities.
What is Centers for Disease Control and Prevention (CDC)?
The Centers for Disease Control and Prevention is the national public health agency of the United States.
How does Centers for Disease Control and Prevention (CDC) evaluates children for developmental disabilities?
The Centers for Disease Control and Prevention (CDC) works to identify causes of Developmental Disabilities and opportunities to prevent them.
Developmental monitoring observes how a child grows and changes over time and whether the child meets the typical developmental milestones.
Thus, the Centers for Disease Control and Prevention (CDC) screens, assesses, and evaluates children for developmental disabilities.
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1 a tobacco company produces blends of tobacco, with each blend containing various proportions of turkish, domestic, and other tobaccos. the proportions of turkish and domestic in a blend are random variables with joint density function (x
Answers
(a) 0.5, (b) f_Y(y) = 12y(1-y), (c) 9/128, (d) 7/36 - Probability calculations using joint density function.
(a) To find the Probability that the Turkish tobacco represents over a portion of the mix, we want to incorporate the joint thickness capability over the district where x > 0.5 and y < 1 - x. This gives:
P(X > 0.5) = ∫[0.5,1]∫[0,1-x] 24xy dy dx = 0.5
Consequently, the Probability that the Turkish tobacco represents over around 50% of the mix is 0.5.
(b) To find the negligible thickness capability for the extent of homegrown tobacco, we really want to incorporate the joint thickness capability over all potential upsides of Turkish tobacco:
f_Y(y) = ∫[0,1-y] 24xy dx = 12y(1-y) ; 0 < y < 1
Thusly, the peripheral thickness capability for the extent of homegrown tobacco is f_Y(y) = 12y(1-y).
(c) To find the Probability that the extent of Turkish tobacco is under 1/8 given that the mix contains 3/4 homegrown tobacco, we really want to utilize Bayes' standard:
P(X < 1/8 | Y = 3/4) = P(X < 1/8 ∩ Y = 3/4)/P(Y = 3/4)
We can find the numerator by coordinating the joint thickness capability over the district where x < 1/8 and y = 3/4:
∫[0,1/8] 24xy dx = 27/128
To find the denominator, we coordinate the joint thickness capability over all potential upsides of Turkish tobacco when y = 3/4:
∫[0,1/4] 24xy dx = 3
Thusly, the contingent Probability is:
P(X < 1/8 | Y = 3/4) = (27/128)/3 = 9/128
(d) To find the likelihood that the extent of homegrown tobacco is over two times the extent of the Turkish tobacco, we want to incorporate the joint thickness capability over the area where y > 2x and x + y < 1. This gives:
P(Y > 2X) = ∫[0,1/3]∫[2x,1-x] 24xy dy dx + ∫[1/3,1/2]∫[2x,1-x] 24xy dy dx
= 7/36
Accordingly, the likelihood that the extent of homegrown tobacco is over two times the extent of the Turkish tobacco is 7/36
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The complete question is:
A tobacco company produces blends of tobacco, with each blend containing various proportions of Turkish, domestic, and other tobaccos. The proportions of Turkish and domestic in a blend are random variables with joint density function (X = Turkish and Y = domestic) 24xy ;0< x, y < 1, x +y<1 fx.y(1,7) (2) ; otherwise (a) (1 point) Find the probability that in a given box the Turkish tobacco accounts for over half the blend. Page 2 (b) (1 point) Find the marginal density function for the proportion of the domestic tobacco. (c) (1 point) Find the probability that the proportion of Turkish tobacco is less than 1/8 if it is known that the blend contains 3/4 domestic tobacco. (d) (2 points) Find the probability that the proportion of domestic tobacco is more than twice the proportion of the Turkish tobacco.
A plumber is replacing a pipe in a kitchen. The old pipe
is 7.43 inches long. The plumber has a new pipe that is 10 inches long. How much does he need to cut off of the new pipe to make it fit?
Answers
The length to cut-off is 2.57 inches
How to determine the length to cut-off?The given parameters are:
Available length = 10 inches
Length needed = 7.43 inches
The length to cut off is calculated as:
Length = Available length - Length needed
So, we have:
Length = 10 inches - 7.43 inches
Evaluate the difference
Length = 2.57 inches
Hence, the length to cut-off is 2.57 inches
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Which of the following is the correct if clause to determine whether y is in the range 10 through 50, inclusive? (Points : 1) A) ify>=10 and y <= 50: B) if10 > y and y < 50: C) if y >= 10 or y <= 50; D) if 10,y ory.50
Answers
We follow the inclusive rule, The answer to the question is (A) that is
if y>=10 and y <=50
What do you mean by intervals?In mathematics, an interval is expressed in numerical terms. All the numbers between two specific integers are referred to as an interval. All actual values between those two are included in this range. Any form of number you may imagine is a real number.
What are the symbols and their meaning of the intervals?The intervals used are:
(a , b) , All the numbers between a & b without including them.
[a, b] , All the numbers between a & b including them.
y lies in [10,50].
And since it means that it includes 10 and 50 and all the numbers between them.
The final answer is (A) that is if y>1=10 and y <=50.
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What would the scatter plot show for data that produce a Pearson correlation of r = +0.88?
a. Points clustered close to a line that slopes up to the right
b. Points clustered close to a line that slopes down to the right
c. Points widely scattered around a line that slopes up to the right
d. Points widely scattered around a line that slopes down to the right
Answers
Answer:
The correct option is (a).
Step-by-step explanation:
The Pearson's correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.
Positive correlation is an association amid two variables in which both variables change in the same direction. A positive correlation occurs when one variable declines as the other variable declines, or one variable escalates while the other escalates.
Negative correlation is a relationship amid two variables in which one variable rises as the other falls, and vice versa.
In this case, it is provided that the Pearson correlation coefficient is, r = +0.88.
A correlation coefficient between ±0.70 to ±1.00 are considered as strong positive correlation.
The scatter plot for correlation coefficient between +0.70 to +1.00 shows:
A straight and upward moving trend of the pointA straight line can be formed using these points that slopes up to the rightPoints clustered close to this line that slopes up to the rightThus, the correct option is (a).
Slove for x
Show all work
Answers
Answer:
\(x=20\)
Step-by-step explanation:
\(x^2=8(8+42)\)
\(x^2=8*50\)
\(x=20\)
~
50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answers
The calculated scale factor from ABC to A'B'C is 1/3
Calculating the scale factor from ABC to DEF?From the question, we have the following parameters that can be used in our computation:
The triangles
From the triangles, we have the following parameters
A = (0, 3)
A' = (0, 1)
Using the above as a guide, we have the following:
Scale factor of the dilation = A'/A
So, we have
Scale factor of the dilation = (0, 1)/(0, 3)
Evaluate
Scale factor of the dilation = 1/3
Hence, the scale factor of the dilation is 1/3
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Does anyone know this answer??
Answers
Approximately 99.7% of scores lie in the shaded region.
We have,
The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.
According to this rule:
Approximately 68% of scores lie within 1 standard deviation of the mean.
Approximately 95% of scores lie within 2 standard deviations of the mean.
Approximately 99.7% of scores lie within 3 standard deviations of the mean.
Now,
In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.
This encompasses the area within 3 standard deviations of the mean.
And,
Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.
Therefore,
Approximately 99.7% of scores lie in the shaded region.
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The graph shows the location of P in point hour. Point are is on the Y axis and has the same Y coordinate of point PPoint Q is graft at (N, -2). The distance from P to Q is equal to the distance from P point R. What is the distance from point P to point Q? What is the value of N? Explain how you determine the distance from point B to point Q, and the value in. The graph shows the location of P in point R. Point are is on the Y axis and has the same Y coordinate of point P
Answers
Answer:
I cant understand read ur lesson and ask help from ur teacher
#CarryOnLearning
Which graph represents the function f(x) = -|x| − 3?
Answers
A Reflection over the y-axis and a shift downwards by three units, which is consistent with the function f(x) = -|x| − 3.
The function f(x) = -|x| − 3 can be graphed by following these steps:
To begin, draw a regular x and y-axis and mark it off with an appropriate scale. Then, mark off the negative values on the y-axis and both negative and positive values on the x-axis. After that, we will begin graphing the function f(x) = -|x| − 3, which is a reflection of the absolute value of x over the y-axis and shifted three units down the y-axis. Since the function f(x) = -|x| − 3 is a reflection of the absolute value of x over the y-axis, the graph should be symmetrical. This means that each point to the left of the y-axis is a reflection of the point to the right of the y-axis. Then, we will plot the vertex (0, -3), which is three units down from the origin. Next, we can plot other points using a table of values. We can select values for x that are both negative and positive, such as -2, -1, 0, 1, and 2, and then evaluate them to find the corresponding y values. Then, plot these points on the graph. Finally, we connect the points with a smooth curve, which will form the graph of the function f(x) = -|x| − 3. The graph will be in the shape of a V that opens downwards.Therefore, the correct graph is an option (D). The graph of the option (D) shows a reflection over the y-axis and a shift downwards by three units, which is consistent with the function f(x) = -|x| − 3.
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what is the equivalent factor of 21 +99
Answers
Answer:
3(7+33)
Step-by-step explanation:
What is the formula for calculating the surface area of a sphere?
Answers
Answer:
Please give brainliest
Step-by-step explanation:
c
31 is what percent of 37?
Answers
Answer: The total answers count 37 - it's 100%, so we to get a 1% value, divide 37 by 100 to get 0.37. Next- calculate the percentage of 31: divide 31 by 1% value (0.37), and you get 83.78% - it's your percentage grade.
3. Assume that there are only 2 commodities and that the utility function is multiplication of the form U = 1÷4qxqy.Find the demand function of the commodity x and y and explain the relationship between price and income in relation to the demand.
Answers
Answer:
Step-by-step explanation:
PLEASE HELP ASAP!!!! FULL ANSWERS ONLY!!!!
Blake wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn, so he needs no fence on that side. The other three sides will be enclosed with wire fencing. If Blake has 950 feet of fencing, you can find the dimensions that maximize the area of the enclosure.
a) Let w be the width of the enclosure (perpendicular to the barn) and let l be the length of the enclosure (parallel to the barn). Write a function for the area A of the enclosure in terms of w . (HINT: First write one equation with w and l and one equation with w and l and A. Solve for l in the first equation and substitute for l in the other). A ( w ) = ____________
b) What width w would maximize the area? w = __________________ ft
c) What is the maximum area? A = ______________ square feet
Answers
Answer: The width that would maximize the area would be 475, and the square feet would be 475.
Step-by-step explanation: 950 divided by 2 is 475 which would divide each of the two sides of the fence, to acquire the amount needed.
A bank charges 12% Simple interest p.a on cash loans to its clients.tito has asked for R10000loan amount and has promised to repay the the loan over 4years
Calculate the interest which Tito has to pay on loan ?
Determine the total amount to be paid back
Determine the monthly repayment amount
Answers
If Tito took a loan of $10000 from a bank to be repaid within 4 years, at 12% Simple interest per annum, then, he will have to pay overall $4800 as interest to the bank over 4 years and a total payment of $14800 at the end of the 4th year to repay and close off the loan.
As per the question statement, a bank charges 12% Simple interest per annum on cash loans to its clients and Tito took a loan of $10000 from the same bank to be repaid within 4 years.
We are required to calculate the overall interest Tito has to pay to bank if he repays and closes the loan at the end of 4th year, and also to calculate the total payment required to repay and close off the loan at the end of the 4th year.
To solve this question, we need to know the formula to calculate the interest amount in case of simple interest which goes as
Interest (I) \(=(\frac{P*R*T}{100} )\)
where, "P" = Principle amount of Loan,
"R" = Rate of simple interest charged on the principle per annum, and
"T" = Time period within which, the loan is to be repaid.
Here, (P = 10000), (R = 12%) and (T = 4). Then, the overall interest Tito will have to pay at the end of 4th year = \((\frac{10000*12*4}{100}) = (100*12*4)=(48*100)=4800\)
And total amount to be paid to repay and close of the loan at the end of 4th year will be = $[4800 + 10000] = $14800.
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A shop is selling notebooks for £1.50 each.
They have a buy one get one half price offer on.
How many notebooks can be bought for £16?
Answers
Answer:
you can buy 14 but have £.25 for change
When Ibuprofen is given for fever to
children 6 months of age up to 2 years, the
usual dose is 5 milligrams (mg) per kilogram
(kg) of body weight when the fever is under
102.5 degrees Fahrenheit. How much
medicine would be usual dose for a 18
month old weighing 21 pounds?
milligrams
Round your answer to the nearest milligram.
Answers
Answer: The usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen.
Step-by-step explanation: To find the usual dose of ibuprofen for a child, we need to follow these steps:
Convert the child’s weight from pounds to kilograms. One pound is equal to 0.4536 kilograms, so we multiply 21 by 0.4536 to get 9.5256 kilograms.Multiply the child’s weight in kilograms by the dose per kilogram. The dose per kilogram is 5 mg when the fever is under 102.5 degrees Fahrenheit, so we multiply 9.5256 by 5 to get 47.628 mg.Round the result to the nearest milligram. To round a number to the nearest milligram, we look at the digit after the decimal point. If it is 5 or more, we add one to the digit before the decimal point and drop the rest. If it is less than 5, we keep the digit before the decimal point and drop the rest. In this case, the digit after the decimal point is 6, which is more than 5, so we add one to the digit before the decimal point and drop the rest. The result is 48 mg.Therefore, the usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen. Hope this helps, and have a great day! =)
what is the product -9x(5-2x) A. -18x^2-45x B. -18x^2-45x C. -18x^2-45x D. 18x-45x
Answers
Answer:
18x^2-45x
Step-by-step explanation:
-9x(5-2x)
-9x*5=-45x
-9x*-2x=18x^2
18x^2-45x
the length of a rectangle is three more than double the width. if the perimeter is 126 inches, find the dimensions.
Answers
The dimensions of the rectangle are 43inches and 20inches if the perimeter of the rectangle is 126 inches.
Leth the width of the revtangle be x.
According to the given question.
The perimeter of the rectangle is 126 inches.
The length of the rectangle is three more than double the width.
⇒ Length of the rectangle = 3 + 2x
Now, according to the given conditions we can say that
Perimeter of the rectangle = 2( length + width)
⇒ 126 = 2(3 + 2x + x)
⇒ 126 = 2(3 + 3x)
⇒ 63 = 3 + 3x
⇒ 63 - 3 = 3x
⇒ 60 = 3x
⇒ x = 20 inches
Therefore, the length of the rectangle = 3 + 2(20) = 3 + 40 = 43
Hence, the dimensions of the rectangle are 43inches and 20inches if the perimeter of the rectangle is 126 inches.
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