Answer:
Postulates are statements that require proof, while theorems cannot be proven.Step-by-step explanation:
In a Geometric System, describe how postulates differ from theorems. Postulates are statements that require proof, while theorems cannot be proven.
Which expression is equivalent to (3 + 5i)2?
0 -16 + 301
O 6 + 341
0 -16 - 341
O 16 + 301
expression that equivalent to (3 + 5i)² is -16 + 30i.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given, an expression ( 3 + 5i)²
Where, "i" is iota that has the value of √-1
Thus, Simplification of the given Expression will be:
=> ( 3 + 5i)²
=>( 3 + 5i)( 3 + 5i)
Using PEMDAS
=> 9 + 15i +15i +5i * 5i
Since i *i = -1
=> 9 + 30i + 25 * -1
=> -16 + 30i
therefore, -16 + 30i expression is equivalent to (3 + 5i)².
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Find the range of the relation {(–1, 4), (2, 5), (3, 5)}. Then determine whether the relation is a function.
A dog who is 8 meters from the base of a tree, spots a squirrel in the tree at an angle of elevation of 40 degrees . What is the direct-line distance between the
dog and the squirrel?
Answer:
x=10.4
Step-by-step explanation:
Which figure below is a quadrilateral but NOT a parallelogram?
Answer:
Option 1
Step-by-step explanation:
Option 1: For two of the sides, they are not parallel, therefore it is quadrilateral with 4 sides but not a parallelogram.
4p3 +2p2+19p-5 easy my guy add me on psn it’s xoBoppin
Answer:
ok sure
do you see my invite
plz mark brainelist
Answer:
4p3+2p2+19p-5
Step-by-step explanation:
You need to have like terms to combine numbers, also you might want to put this icon like this: 4p^3+2p^2+19p-5. The ^ helps give the power from the exponent.
50 POINTS I NEED THIS ASAP
On Saturday, the bookstore sold x books. On Sunday, the bookstore sold 3 more books than on Saturday. The expression 2x + 3 represents the total number of books sold over the weekend. What does the "2" represent in the expression 2x + 3?
the total number of books sold
how much more books were sold on Saturday
the number of days
the number of books sold on Saturday
Answer:
the number of days
Step-by-step explanation:
Saturday : x books
Sunday: x+3
Saturday + Sunday = x+x+3
Combine like terms
2x+3
The 2 is the number of days
Answer:
The number of day
Step-by-step explanation:
Saturday: x books
Sunday :x +3
Saturday + Sunday = x+x+3
Combine like terms
2x+3
The two is the number of day. ✌️
evaluate: 13 - 1/3 (11-5) please explain a bit
Answer:
Step-by-step explanation:
1.Let the number be x.
2.To find one-third of a number, divide the number by 3 ,
3. x÷3.
The required simplified value of the expression 13 - 1/3(11 - 5) is 11.
Given that,
To evaluate: 13 - 1/3 (11-5)
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
= 13 - 1 / 3( 11 - 5 )
Solving the parenthesis first (11 - 5) = 6
= 13 - 1 / 3 * 6
Following the PEMDAS rule, multiply between 1/3 and 6 = 2
= 13 - 2
Subtraction
= 11
Thus, the required simplified value of the expression 13 - 1/3(11 - 5) is 11.
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Which of these is true of all irrational numbers?
Answer:
Irrational numbers are non-repeating and non-terminating
Hope that helps!
Step-by-step explanation:
16=−4(x−1)+4 t helppppppppppp is this answer true?
Answer:
x=-2
Step-by-step explanation:
16= -4x+4+4
16= -4x+8
-8 -8
8/-4= -4x/-4
-2=x
Elephants are born with tusks, and their tusks grow 4 inches a year. A 1-
year old elephant's tusk measured 5 inches. Write a linear equation that
represents the situation. How long will the elephant's tusk be at 6-years
old?
The linear equation that represents the given situation is :
y = 4x + 1 and the elephant's tusk at 6-years old will be 25 inches.
represents the situation.
What is linear variation or linear equation?Direct variation of a quantity {y} with respect quantity {x} means that the value of {y} increases as the the value of {x} increases.Mathematically, we can write → y = Kx.The above equation is also called a linear equation or more elaborately the equation of a straight line. The general equation of a straight line is → y = mx + c.Given is that Elephants are born with tusks, and their tusks grow 4 inches a year. A 1 - year old elephant's tusk measured 5 inches.
Since the tusks grow 4 inches a year, we can write -
y = 4x + c
{y} - length of tusk
{x} - number of years
Now, at (1, 5) -
5 = 4 x 1 + c
c = 5 - 4
c = 1
So, the linear equation that represents the given situation is -
y = 4x + 1
For {x} = 6, we can write -
y = 4 x 6 + 1
y = 25 inches
Therefore, the linear equation that represents the given situation is :
y = 4x + 1 and the elephant's tusk at 6-years old will be 25 inches.
represents the situation.
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Given vectors u=-9i+8j and v=7i+5j find 2u-6v in terms of unit vectors i and j
Answer:
- 50i - 14j
Step-by-step explanation:
Substitute u = - 9i + 8j and v = 7i + 5j, that is
2u - 6v
= 2(- 9i + 8j) - 6(7i + 5j) ← distribute both parenthesis
= - 18i + 16j - 42i - 30j ← collect like terms
= - 50i - 14j
Answer:
A on E2020
Have a Great Day ;)
m +9 = -3
8
What is the answer for m
Answer:
m=-12
Step-by-step explanation:
Not sure where the 8 comes from, but you would subtract 9 from the left side. The result is -12.
HELP ASAP PLS LIMITED TIME
Answer:
D if my calculus are correct.
consider the linear expression 4x - 11
The coefficient in this expression is ....... and the constant term is......
Answer:
4 will be the coefficient
while X will be the variable
and the constant term is 11.
The total sales for June at Jim’s Candy Store were $7,785. The total sales for June and July were $12,603. What were the total sales for July?
Answer:
$4,818
Step-by-step explanation:
12,603-7,785
Please help I need answers ASAP
Find the product of each pair of complex conjugated (3+8i)(3-8i)=
Answer:
73
Step-by-step explanation:
Answer:
73
Step-by-step explanation:
Consider a normally distributed data set with a mean of 75 and a standard deviation of 5. If
one of the recorded values is 87, how many standard deviations away from the mean is this
value?
Answer:
2.4
Step-by-step explanation:
To obtain the z value, subtract the mean (75) from the given value (87) and divide the result by the standard deviation (5). The answer is 2.4.
The standard deviations away from the mean is the recorded value 87 when a mean of 75 and a standard deviation of 5 is 2.4.
What is normally distributed data?Normally distributed data is the distribution of probability which is symmetric about the mean. The mean of the data is the average value of the given data.
The standard deviation of the data is the half of the difference of the highest value and mean of the data set.
Consider a normally distributed data set with a mean μ of 75 and a standard deviation σ of 5.
One of the recorded values X is 87. To find the away value, we have to find the z score using the following formula,
[tex]Z=\dfrac{X-\mu}{\sigma}[/tex]
Here, X is the sample size, μ is the mean and σ is the standard deviation of the data. Put the values,
[tex]Z=\dfrac{87-75}{5}\\Z=2.4[/tex]
Thus, the standard deviations away from the mean is the recorded value 87 when a mean of 75 and a standard deviation of 5 is 2.4.
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Why is it best to compare medians and interquartile ranges for these data, rather than comparing means and standard deviations? A. Some of these data have vastly different centers, and the median and interquartile range provide more reliable information in these circumstances. B. These data are fairly symmetric and do not have outliers, and the median and interquartile range provide more reliable information in these circumstances. C. Some of these data have outliers and/or are skewed, and the median and interquartile range are resistant to outliers. D. Some of these data have outliers and/or are skewed, and the median and interquartile range amplify the effects of outliers and skewness.
Answer:Some of these data have outliers and/or are skewed, and the median and interquartile range are resistant to outliers.
Step-by-step explanation:
Outliers often characterize a lot of data. Outliers are extreme values which have obvious impact on the value of the standard deviation of a given distribution.
However, the median and interquartile range are resistant to outliers hence they can be used even in the presence of outliers in the distribution.
The best for comparing the medians and interquartile range is the first option
What are outliers?
Outliers refer to the attribute of a lot of data. It is considered to be an extreme value that should have an impact on the value of the standard deviation of a given distribution. But, the median and interquartile range should be resistant to outliers.
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HELP!! Giving points: In the system of equations shown, a is the coefficient of x. The system has infinitely many solutions. What is the value of a?
x – 2y = 4
ax– 6y = 12
(Please explain your answer)
Answer:
a=3
Step-by-step explanation:
x – 2y = 4
ax– 6y = 12
To have infinitely many solutions, the two equations have to be equal
Multiply the first equation by 3
3x -6y = 12
ax -6y = 12
a = 3
While sitting in class, Ellen uses 1.33 calories per minute. How many calories does she use during a 45-minute math class?
Answer:
59.85
Step-by-step explanation:
So if each minute she uses 1.33 calories, you have to multiply it by 45. 45 times 1.33 is 59.85 so there you go. Ellen uses 59.85 calories during a 45-minute class.
Answer:
59.85 calories
Step-by-step explanation:
1.33 x 45 = 59.85
Which expression best estimates Negative 18 and one-fourth divided by 2 and two-thirds?
18 divided by 3
Negative 18 divided by 3
Negative 18 divided by (negative 3)
18 divided by (negative 3)
Answer:
-18/3
Step-by-step explanation:
EASY GEOMETRY** name the angle labeled in blue
3 2/3 divided by 3 4/5
if you could can you give it to me now I'm in a hurry
Answer:
3 2/3 divided by 3 4/5 is [tex]\frac{55}{57}[/tex]
Step-by-step explanation:
Operations With Fractions
Let's divide 3 2/3 by 3 4/5. Both fractions are in mixed format, so we have to write them as an improper fraction:
[tex]\displaystyle 3\frac{2}{3}=3+\frac{2}{3}=\frac{9+2}{3}=\frac{11}{3}[/tex]
[tex]\displaystyle 3\frac{4}{5}=3+\frac{4}{5}=\frac{15+4}{5}=\frac{19}{5}[/tex]
We must divide [tex]\frac{11}{3}[/tex] by [tex]\frac{19}{5}[/tex]
To make it simple, we just multiply the first fraction by the reciprocal of the second fraction:
[tex]\displaystyle \frac{\frac{11}{3} }{ \frac{19}{5}}=\frac{11}{3} * \frac{5}{19}=\frac{55}{57}[/tex]
3 2/3 divided by 3 4/5 is [tex]\frac{55}{57}[/tex]
Look at the verbal statement shown below. Seven decreased by the sum of eight and three times a number, z, is less than twice the difference between z and five. Which inequality can be used to solve for z? A. (3z+8)−7<2z−5 B. 7−(3z+8)<2z−5 C. 7−(3z+8)<2(z−5) D. (3z+8)−7<2(z−5)
Answer:
The correct option is;
C. 7 - (3z + 8) < 2(z -5)
Step-by-step explanation:
The verbal statement on the left hand side of the less than relationship, can be presented as follows;
7 - (8 + 3z)
Similarly, the verbal statement on the right hand side of the less than relationship, can be presented as follows;
2 × (z -5)
The combined statement can therefore, be presented as follows;
7 - (8 + 3z) < 2 × (z -5), which is the same as 7 - (3·z + 8) < 2(z -5) since we have;
(8 + 3z) is equivalent to (3z + 8), the order of arrangement of the terms within the parenthesis will not alter the total value of the terms within the parenthesis, since the signs remain unchanged
The correct option is therefore;
7 - (3z + 8) < 2(z -5).
What conjecture can you make about the sum of the first 55 positive even numbers?
Answer:
it will be an even number
] Office Warehouse, a national chain of office supply stores, wants to be the exclusive distributor of the Oyster and has guaranteed to purchase 60,000 units over the next two years. What is the lowest price that Sackville Plastics can sell the Oyster for and still breakeven in 2 years?
Answer:
$6.90
Step-by-step explanation:
Apparently the cost function for the Oyster is ...
c(n) = 90,000 +5.40n
Then the cost for 60,000 units is ...
c(60,000) = 90,000 +5.40·60,000 = 414,000
In order to break even, Sackville Plastics must sell these for ...
$414,000/(60,000 units) = $6.90/unit
A student walks from school to home by walking 6 blocks north and 8 blocks east. How
far is the student's house from the school?
Answer:
10
Step-by-step explanation:
Pithagaren theorem 6²+8²=c²
36+64=c²
100=c² (then do the inverse)
√100=c
10=c
What is the answer to 3x + 6 = 3(2 + x)
Answer:
All real numbers -----> X=0
Step-by-step explanation:
1) 3x + 6 = 3(2 + x) Distribute the 3 on the right side
2) 3x + 6 = 6 + 3x Subtract 3x from both sides
3) 6=6 Subtract 6 from each side
4) 0=0
5) All real numbers
I hope this helps you and good luck on your assignment.
At the beginning of the day the stock market goes down 4014 40 1 4 points and stays at this level for most of the day. At the end of the day the stock market goes up 9012" role="presentation">90129012 90 1 2 points from the low at the beginning of the day. What is the total change in the stock market from the beginning of the day to the end of the day? The total change in the stock market is points.Points from the low at the beginning of the day. What is the total change in the stock market from the beginning of the day to the end of the day?
Answer:
124.51%Step-by-step explanation:
In this problem, we are expected to solve for the percentage change, given the opening point and the closing point
given that the low is 4014
and the high is 9012
the formula to calculate the percentage change is given as
%change= (high-low)/low*100
substituting our given data we have
%change= (9012-4014)/4014*100
%change= (4998)/4014*100
%change= (1.2451)*100
%change= 124.51%
The total change in the stock market from the beginning of the day to the end of the day is 124.51%
