We have been given (4 + 4i) - (13 + 17i) .after solving we get the correct option is A ) -9 - 13 i.
What are complex numbers?Complex numbers are those numbers that contain the imaginary and the real part.
We have been given (4 + 4i) - (13 + 17i) .
On removing the parenthesis
4 + 4 i - 13 - 17i.
On combine the real part and complex parts, we get
= 4 - 13 + 4i - 17 i.
= -9 - 13 i.
Therefore, The correct option is A ) -9 - 13 i.
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In the triangle above, what is the measure of
A.
M
B.
M
C.
M
D
, cannot be determined
When you eat certain foods, sugar is immediately released into your bloodstream. many doctors say kids should only take in 6 teaspoons (24 grams) of added sugar each day. jack is making lemonade for his school and wants to follow that recommendation. he wants to make 206 servings, following the recommendation, how many grams of sugar will he use?
Answer:
4,944
Step-by-step explanation:
3.Samy withdrew 1/4 of his savings from the bank. He spent $450 of it and had $150 left. How much was his total savings in the bank at first?
Answer:
$2,400
Step-by-step explanation:
Total Amount withdrawn from bank = Withdrawn amount spent + Withdrawn amount remaining = $450+$150 = $600
1/4 of Savings in bank = $600
Total savings in bank = [tex]600/\frac{1}{4}[/tex]
= 600 * 4
= $2,400
Use the drawing tool(s) to form the correct answer on the provided number line.
Consider the given functions.
Function 1
f(x) = -5x + 11 + 10
Function 2
g(x)
-2
Represent the interval where both functions are decreasing on the number line provided.
30
20
10-
-10-
-20-
-30-
2
6
x
[tex](-1,\infty)\cap (-2,2) ---- > (-1,2)[/tex]
What is the function's decreasing in the interval?Generally, the equation for the function is mathematically given as
f(x) = -5x + 11 + 10
Therefore
When x >= -1, the function decreases because f(x) = -5(x+1)+10.
This means that the function is dropping throughout this range[tex](-1,\infty).[/tex]
b)
A look at the graph reveals a decreasing trend in the function over the timeframe (-2,2).
In conclusion, The number line will represent
Using the point where the intervals with decreasing functions overlap
[tex](-1,\infty)\cap (-2,2) ---- > (-1,2)[/tex]
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Answer:
see photos
Step-by-step explanation:
Plato/Edmentum
Question 9 of 10 Which of these groups of values plugged into the TVM Solver of a graphing calculator will return the same value for PV as the expression ($505)((1+0.004) - 1) ? (0.004)(1+0.004) Question 9 of 10 Which of these groups of values plugged into the TVM Solver of a graphing calculator will return the same value for PV as the expression ( $ 505 ) ( ( 1 + 0.004 ) - 1 ) ? ( 0.004 ) ( 1 + 0.004 )
The TVM solver is a tool found in graphing calculators, that solve Time Value of Money problems.
The group of values that will return the same value as the given expression is;
D. N = 24; I% = 3.6; PV =; PMT = -415; FV = 0; P/Y = 12; C/Y = 12; PMT :END
What is Present Value?
Present value (PV) formula finds application in finance to calculate the present day value of an amount that is received at a future date.
In the TVM solver, we have;
I = The annual percentage rate
N = n × t
t = The number of years
PV = Present value
PMT = Payment
P/Y = Number of payments per year = n
C/Y = Number of compounding periods per year = n
The formula for monthly payment is presented as follows;
[tex]P = \frac{M[(1+r/n)^{nt} - 1]}{(r/n)(1+r/n)^{nt}}[/tex]
M = [tex]\frac{P.(r/n)(1+ r/n)^{nt} }{(1+ r/n)^{nt} - 1}[/tex]
Therefore, we get;
Where;
M = PMT = -415
P = PV
r = I
P/Y = n = 12
Therefore;
0.003 = I/12
I = 0.003 X 12 = 3.6%
N = n X t = 24
The value of the equation is the present value, PV = ?
When payment are made based on the PV, we have FV = 0
The group of values the same value as the expression
P = [tex]\frac{(415)[(1+0.003)^{24}-1]}{(0.003)(1+0.003)^{24}}[/tex]
when plugged into the TVM solver of a calculator is;
D. N = 24; I% = 3.6; PV =; PMT = -415; FV = 0; P/Y = 12; C/Y = 12; PMT :END
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The top of a tree makes angles s and t with points K and L on the ground, respectively, such that the angles are complementary. Point K is x meters and point L is y meters from the base of the tree.
1. In terms of x and y, find the height of the tree. Include your calculations.
2. If m∠t = 40° and y = 8 meters, calculate the height of the tree, rounded to two decimal places.
1. In terms of x and y, the height of the tree is [tex]h = y \times tan \ t^\circ[/tex] and[tex]h = x \times tan \ s^\circ[/tex]
2. The height of the tree is 6.71 meters
Trigonometry
From the question, we are to determine the height of the tree in terms of x and y
Using SOH CAH TOA, we can write that
[tex]tan \ t^\circ =\frac{h}{y}[/tex]
∴ [tex]h = y \times tan \ t^\circ[/tex]
Also,
[tex]tan \ s^\circ =\frac{h}{x}[/tex]
∴ [tex]h = x \times tan \ s^\circ[/tex]
2. If m∠t = 40° and y = 8 meters,
Then, the height of the tree
h = 8 × tan40°
h = 6.71 meters
Hence, the height of the tree is 6.71 meters
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Is in between 2 number on the number line
Answer:
3 and 4
Step-by-step explanation:
well you can approximate by squaring values
2^2 = 4
3^2 = 9
4^2 = 16
the value should fall somewhere between 3 and 4 since the square root of 9 is 3 and the square root of 16 is 4
perpendicular to the line y =6 - 3x; passes through (-3, -1)
Answer:
[tex]y=\frac{1}{3}x[/tex]
Step-by-step explanation:
Perpendicular lines
Perpendicular lines have slopes whose product is -1. In other words, to find a line that is perpendicular to a given line, the new line must have a that is the opposite reciprocal of the original line.
Passing through a point
Additionally, if a line contains a point, then the point must be a solution to the equation (meaning, when you plug in the "x" and "y", the equation must be true).
Finding our perpendicular line
Work on slope first
To find the slope of the original line, rewrite the original line in slope-intercept form: [tex]y=mx+b[/tex]
[tex]y=6-3x\\y=6+(-3x)\\y=(-3x)+6\\y=-3x+6\\y=-\frac{3}{1}x+6[/tex]
In this form, the slope is the number multiplied to the "x", so the original slope is -3/1.
Thus, the slope of the new perpendicular line will be the opposite reciprocal of -3/1 ... which is 1/3.
Writing what we do know about the new perpendicular line, we have [tex]y=\frac{1}{3}x+b[/tex]
Making sure it passes through the point
This new line is also supposed to contain the point (-3,-1), so (-3,-1) must be a solution to the equation, for whatever constant-value the "b" is. To find out the "b", substitute the known quantities, and solve:
[tex]-1=\frac{1}{3} (-3)+b\\-1=-1+b\\(-1)+1=(-1+b)+1\\0=b[/tex]
Substituting this into our equation:
[tex]y=\frac{1}{3}x+(0)\\y=\frac{1}{3}x[/tex]
Conclusion
So, the equation for a line that is perpendicular to the original line [tex]y=6-3x[/tex], and that also passes through (-3,-1) is [tex]y=\frac{1}{3}x[/tex]
Can yall help me Find m/1.
Answer:
mAngle1 = 33°
Step-by-step explanation:
The three angles in a triangle add up to 180°.
31° + 116° + x = 180°
147° + x = 180°
Subtract 147° from both sides.
x = 33°
The measure of Angle1 is 33°
Out of a population of 1,000 students, 80 were asked by a random sampling what color they would prefer for their first car. Their responses are shown in the table below.
Car Color
Favorite Color
Number of Students
Blue
5
Red
18
Gray
27
Silver
14
White
16
Using proportional reasoning, how many students out of the 1,000 would you expect to prefer a silver car?
There are 175 students out of the 1,000 would you expect to prefer a silver car.
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
We have to given that;
Out of a population of 1,000 students, 80 were asked by a random sampling what color they would prefer for their first car.
Now, We have there are 14 students out of 80 prefer silver car for their first car.
Hence, By using proportion, we get;
⇒ 14/80 = x / 1000
⇒ 14 × 1000 / 80 = x
⇒ x = 175
Thus, There are 175 students out of the 1,000 would you expect to prefer a silver car.
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Answer:
175
（￣︶￣）↗
Step-by-step explanation:
The table gives some information about the heights of 30 plants. Height, h in cm Frequency 0
Answer:
C. 20 ≤ h < 30
Step-by-step explanation:
Median
The value in the middle of the data set when all the data values are placed in order of size.
As this is grouped data, we can only estimate the median.
Add an extra row to the table showing the Cumulative Frequency:
[tex]\begin{array}{|c|c|c|}\cline{1-3} \sf Height & \sf Frequency & \sf Cumulative\:Frequency \\\cline{1-3} \sf 0 \leq h < 10 & 1 & 1 \\\cline{1-3} \sf 10 \leq h < 20 & 9 & 10 \\\cline{1-3} \sf 20 \leq h < 30 & 7 & 17 \\\cline{1-3} \sf 30 \leq h < 40 & 13 & 30 \\\cline{1-3}\end{array}[/tex]
To find which class the median is in, divide the total number of data values by 2:
[tex]\implies \sf \dfrac{n}{2}=\dfrac{30}{2}=15[/tex]
Therefore, there are 15 values less than or equal to the median.
From the table, the 11th to 17th data values are in class 20 ≤ h < 30. Therefore, the median must be in the 20 ≤ h < 30 class.
Answer:
C (look at explain!)
Step-by-step explanation:
Please help i dont get this at all so please i will highly appreciate it .Thank youuu!!!
Answer:
The answer would be D 7mn+3m/2+5n/4
Step-by-step explanation:
A polynomial is a combination of terms separated by +
or − signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms.
what is
f(-1)=-3x^{2}+7x+4
Step-by-step explanation:
please mark me as brainlest
5. Walker is reading a book that is 792 pages. He reads
15 pages a day during the week, and 25 pages a day
during the weekend. After 5 weeks of reading, how
many pages does Walker still have left to read before
he finishes the book?
Let r represent the pages left to read.
Equation:
Walker has
to read.
pages left
To form equations from word problems, we can derive mathematical operations as well as variables from the given information.
In this case, each time Walker reads a certain number of pages, we subtract that from the total number of pages left to know how many pages is left to read.
Solving the QuestionLet r represent the pages left to read.
792 pages in total
⇒ r = 792Walker reads 15 pages a day during the week and 25 pages a day during the weekend.
There are 5 weekdays, and he reads 15 pages each of those days. ⇒ r = 792 - 5×15There are 2 weekend days, and he reads 25 pages each of those days.5 weeks have passed
Multiply the terms representing the number of pages he reads a week by 5, for 5 weeks.r = 792 - (5×15 + 2×25)×5
Genesis is going to see a movie and is taking her 3 kids. Each movie ticket costs $15 and there are an assortment of snacks available to purchase for $3 each. How much total money would Genesis have to pay for her family if she were to buy 6 snacks for everybody to share? How much would Genesis have to pay if she bought x snacks for everybody to share?
Total cost with 6 snacks:
Total cost with x snacks:.
need answer quickly as possibly!
Answer #1:
The total cost with 6 snacks is $78.
Answer #2:
The total cost with x snacks is represented by the expression 60 + 3x.
Step-by-step explanation for answer #1:
Starting off with what we know:
Genesis has 3 kids, so there are 4 people total including Genesis.Each movie ticket is $15.Each snack is $3.To answer the question of how much money Genesis would have to pay for her family if she bought 6 snacks for everybody, first consider the total cost of the movie tickets.
Multiply the total number of people by the cost of each movie ticket:
[tex]4* 15=60[/tex]
Genesis will be paying $60 total only to see the movie with her 3 kids. To find the total cost of both seeing the movie and buying 6 snacks, simply multiply the number of snacks by the cost of each snack:
[tex]6 * 3=18[/tex]
Then, add the total cost of the movie tickets by the total cost of the snacks to achieve your first answer:
[tex]60+18=78[/tex]
The total cost with 6 snacks is $78.
Step-by-step explanation for answer #2:
To find the total cost of "x" snacks (x is being used as a variable term to represent a quantity subject to change), we can create an algebraic expression.
Let "t" represent the total cost.
Since we've established that finding the total cost is just a matter of adding the total cost of movie tickets (60) and the total cost of snacks (3 multiplied by the number of snacks), let "x" represent the number of snacks in the equation to find the total cost with x snacks:
[tex]60+3x=t[/tex]
The total cost with x snacks is represented by the expression 60 + 3x.
Based on the given data, the total cost of 6 snacks: $78. total cost with x snacks: $60 + (3x).
Use the concept of multiplication defined as:
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that,
Genesis is going to see a movie with her 3 kids.
Each movie ticket costs $15.
There are snacks available for purchase at $3 each.
Genesis wants to buy 6 snacks for everybody to share.
To calculate the total cost for Genesis and her 3 kids,
Consider the movie tickets and the snacks.
The cost of the movie tickets can be calculated by multiplying the number of people (4 in this case) by the cost of each ticket ($15).
So, Genesis would have to pay 4 x $15 = $60 for the movie tickets.
Now, let's calculate the total cost if Genesis were to buy 6 snacks for everybody to share.
Each snack costs $3, so 6 snacks would cost 6 x $3 = $18.
Therefore, the total cost for Genesis would be,
$60 (movie tickets) + $18 (snacks) = $78.
If we consider x snacks for everybody to share,
The total cost for snacks would be x $3.
So, the final cost would be $60 (movie tickets) + (3x) (snacks).
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answer?......................
Answer:
22
Step-by-step explanation:
6( n^2 +2)
-----------------
n
Let n = 3
6( 3^2 +2)
-----------------
3
Parentheses first
6( 9 +2)
-----------------
3
6( 11)
-----------------
3
Top of the fraction next
66
-----
3
Divide
22
Which rule describes a composition of transformations the maps pre-image PQRSto image P”Q”R”S”
The rule that describes the composition of transformations that maps figure PQRS to figure P"Q"R"S"is r y-axis • RO, 90° (x, y)
How to determine the transformation?See attachment for complete question
From the image, we have:
P = (1,1)
Q = (1,5)
R = (3,5)
S = (3,1)
Start by reflecting PQRS across the y-axis. i.e. r y-axis
This is done by
(x, y) -> (-x,y)
So, we have:
P' = (-1,1)
Q' = (-1,5)
R' = (-3,5)
S' = (-3,1)
Next, we rotate by 90 degrees counterclockwise i.e. RO, 90° (x, y)
This is done by
(x, y) -> (-y, x)
So, we have:
P'' = (-1,-1)
Q'' = (-5,-1)
R'' = (-5,-3)
S'' = (-1,-3)
Hence, the rule that describes the composition of transformations that maps figure PQRS to figure P"Q"R"S"is r y-axis • RO, 90° (x, y)
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What is the inverse of the function g(x)=-3(x + 6)?
Please help me ASAP
Answer:
Inverse g(x) = -x/3-6
Step-by-step explanation:
To understand this just think g(x) as y so
we got y= -3(x+6) after that we change the minus three to left
so we got -y/3 because -3 is multiply. After that plus 6 came and become minus 6.
After all,you have to replace x in y place.
y = -3(x +6)
-y/3 = x +6
-y/3 -6 = x
-x/3 -6 = g(x)
Maël mixes 15 milliliters (mL) of bleach with 3.75 liters (L) of water to make a sanitizing solution for a daycare. The amounts of bleach and water always have to be proportional when he makes sanitizing solution. Which of the following could be combinations of volumes of bleach and water for Maël's sanitizing solution?
A. 12 mL bleach and 3 L water
B. 6 mL bleach and 1.5 L water
C. 3 mL bleach and 0.75 L water
D. 20 mL bleach and 5.5 L water
E. 11 mL bleach and 3.75 L water
Answer: A,B,C
Step-by-step explanation: A,B,C is the answer
A. Yes, the points shown on the line would be part of y=0.5x
B. Yes, all proportions can be shown on a graph of this line
C. No, the points shown would not be part of y=0.5x
D. No, the proportions cannot be represented on a graph
Answer:
B
Step-by-step explanation:
given the graph of y = 0.5x
Then any point on the line satisfies y = 0.5x
consider the points given
x = 1 then y = 0.5 × 1 = 0.5 ⇒ (1, 0.5 ) is on the line
x = 4 then y = 0.5 × 4 = 2 ⇒ (4, 2 ) is on the line
BRAINLY IF CORRECT!!!
Does anyone know what the s inside the angle mean. The symbol?
Answer: I'm 90% sure that the S inside the angle is spatial points
The full Definition of the symbol combination is approximately equal to Spatial points?
Step-by-step explanation:
I searched s inside angle symbol and these are my results. "The angle symbol is a mathematical symbol that is placed ahead of character s, usually uppercase italic letters representing spatial points, to describe a geometric angle formed by the intersection of two lines, line segments, or rays." I'm sorry if I'm wrong.
A car travels a distance of 210 m in a time of 6 seconds. Calculate the time in seconds for the car to travel a distance of 1928 m.
Answer:
It will take 55.08 seconds.
Step-by-step explanation:
6 seconds = 210m
1 second = (210÷6)
= 35m
1928m ÷ 35m
=55.08 seconds
Answer = it will take 55.08 seconds to travel 1928m
2. The letters from the word MATH are placed in a hat. What is the probability that you select an A when you are choosing a letter without looking? A. What is asked in the problem? 8. What are the given numbers? What operation will you use? D What is the mathematical sentence? E What is the answer to the problem? V. A
The probability of getting M from the word MATH placed in hat is 0.25.
Probability is defined as the ratio of the number of favorable results to the total number of elements of an event.
P= number of favorable outcomes / total number of outcomes of an event
A. The problem is the probability of finding A
B. The given are MATH i.e. {M,A,T,H}
C. the operation used will be selecting a word from hat of word MATH
D. the mathematical statement from the probability of finding M will be
P(getting M from word MATH)
E. the answer to the problem will be calculated as
no. of element in the hat=4 i.e. {M,A,T,H}
no. of favorable outcomes= 1 i.e. {A}
P(getting A from word MATH) = number of favorable outcomes/ number of total outcomes
⇒ P(getting A from word MATH) = 1/4
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make a 2 column proof
please make it simple like JK is parallel to NM(given)
i will also give brainliest
Answer:
Given: L is the midpoint of [tex]\overline{JM}[/tex] (given)
[tex]\overline{JL} =\overline{LM}[/tex] (definition of a midpoint)
Given: [tex]\overline{JK} \parallel \overline{NM}[/tex] (given)
[tex]\angle KJL \cong \angle NML[/tex] (alternate interior angles theorem)
[tex]\angle JKL \cong \angle MNL[/tex] (alternate interior angles theorem)
[tex]\triangle JKL \cong \triangle MNL[/tex] (SAA postulate)
(I have also created it in table form and attached a screenshot)
Which function is increasing?
The only increasing function is the last option:
[tex]f(x) = 5^x[/tex]
Which function is increasing?
Here we only need to see that, is as x increases also do f(x). Then the function will be increasing.
The cases for exponential functions is actually more trivial than that.
If the base is between zero and 1, then the function is decreasing.If the base is larger than 1, then the function is increasing.In the given options there is only one function with a base larger than 1, which is the last option:
[tex]f(x) = 5^x[/tex]
That is the correct option.
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HELP MOI
MATH WORK=IMPOSSIBLE
PLEASE
Answer:
-32/21
Step-by-step explanation:
First, we can convert -0.35 into a fraction: -35/100, which could be further simplified to -7/20.
Dividing a fraction by another is the same thing as multiplying a fraction by the reciprocal (denominator over numerator) of the fraction. Therefore, we can rewrite this expression as: 8/15 * -20/7
To find the answer to that, you simply multiply the numerators together and the denominators together separately. The final answer is -32/21.
Answer:
-1 11/21
First step:
First, you change the decimal into a fraction. To do that you look at the decimal place at the end of -0.35. The decimal place is hundredths. That means the fraction form of -0.35 is -35/100.
Now to simplify it just find out what both the numbers can be divided by. In this case, 35 and 100 can be divided by 5. If you divide them both by 5 you get -7/20
Fraction form: -7/20
Second step:
Now you just plug it in to the equation.
8/15÷(-7/20)
To solve this you need to change it to multiplication and flip the second fraction.
8/15×(-20/7)
Final step:
Now you multiply the fractions.
8/15×(-20/7)= -32/21 or -1 11/21
Final answer: -1 11/21
Which table represents a linear function?
2
3
4
5
(J1
10
15
20
25
Answer:
I think it’s C
Step-by-step explanation:
I think
1.) tel ephone number (type of data
The telephone number datatype is text or string
How to determine the datatype?The term is given as:
telephone number
A telephone number contains the following
DigitsBrackets (Optional)Hyphen (Optional)The optional parts of a phone number makes it difficult to use the numeric datatype for a phone number.
So, we make use of text or string datatype
Also, the phone number cannot be used in calculations.
Hence, the telephone number datatype is text or string
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Complete QuestionThe telephone number is what type of data
The graph of the function f(x) = –(x + 3)(x – 1) is shown below.
On a coordinate plane, a parabola opens down. It goes through (negative 3, 0), has a vertex at (negative 1, 4), and goes through (1, 0).
Which statement about the function is true?
The function is positive for all real values of x where
x < –1.
The function is negative for all real values of x where
x < –3 and where x > 1.
The function is positive for all real values of x where
x > 0.
The function is negative for all real values of x where
x < –3 or x > –1.
Answer:
The second statement is true.
Step-by-step explanation:
Draw the corresponding parabola and use it to verify all statements.
Answer:
The function is negative for all real values of x where
x < –3 and where x > 1.
Step-by-step explanation:
The answer above is correct.
Mr wong predicted that he would sell 45 automobiles , he actually sold 48
Answer:
well done mr wong lol
Step-by-step explanation:
what's the question is it the percent he beat his prediction?
if it is then its 48 divided by 45 times 100
this equals 106.67%
then take this away from his prediction percent originally which is 100%
106.67-100= 6.67%