Answer:
In the case of a polynomial with more than one variable, the degree is found by looking at each monomial within the polynomial, adding together all the exponents within a monomial, and choosing the largest sum of exponents.
Step-by-step explanation:
That sum is the degree of the polynomial.
Express the following in the form a + bi, where a and b are real numbers:
[tex] \sqrt{60i - 11} [/tex]
The equivalent of the complex number expression is [tex]\sqrt{60i - 11}[/tex] is 2 + 15i
How to rewrite the expression?The complex number expression is given as:
[tex]\sqrt{60i - 11}[/tex]
Rewrite as:
[tex]a + bi = \sqrt{60i - 11}[/tex]
Take the square of both sides
[tex]a^2 + 2abi - b = 60i - 11[/tex]
By comparison, we have:
a^2 - b = -11
2ab = 60
Divide both sides by 2
ab = 30
Using a graphical tool, we have:
a = 2,b = 15
So, we have:
a + bi = 2 + 15i
Read more about complex numbers at:
https://brainly.com/question/10662770
#SPJ1
Use the given values of n and p to find the minimum usual value μ − 2σ and the
maximum usual value μ + 2σ. Round your answer to the nearest hundredth unless
otherwise noted.
n = 261, p =1/5
Minimum: 65.12; maximum: 39.28
Minimum: 39.28; maximum: 65.12
Minimum: 45.74; maximum: 58.66
Minimum: 43.06; maximum: 61.34
After answering the question provided, we can predict that the result will be as by equation As a result, the correct response is: Minimum: 41.64; Maximum: 62.76.
What is equation?A mathematical equation is a process that links two statements and indicates equality using the equals sign (=). A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the equal sign separates the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula may be used to understand the link between the two sentences that are written on opposite sides of a letter. Frequently, the logo and the particular software are identical. like in 2x - 4 = 2, for example.
A binomial distribution with the specified values of n and p has a mean of = np and a standard deviation of = sqrt(np(1-p)).
Inputting n = 261 and p = 1/5 results in:
μ = np = 261 × 1/5 = 52.2
5.28 is equal to sqrt(np(1-p)) = sqrt(261 1/5 4/5)
Calculating the minimal typical value of 2 is as follows:
μ − 2σ = 52.2 − 2 × 5.28 ≈ 41.64
The calculation for the maximum typical value + 2 is as follows:
μ + 2σ = 52.2 + 2 × 5.28 ≈ 62.76
These values are rounded to the nearest hundredth, giving us:
The range is 41.64 to 62.76.
As a result, the correct response is: Minimum: 41.64; Maximum: 62.76.
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
Answer:
Minimum: 39.28; maximum: 65.12
Just need a lil help kind of stucc .
Answer:
Scale Factor
Step-by-step explanation:
Sorry if im wrong. I just kinda tried :p
Which is a number that can be written as a fraction in the form a/b?
Answer:
Step-by-step explanation:
Rational numbers are the type of numbers that can be written in fraction forms (1/b where a and b are integers and b ≠ 0). Rational numbers also include decimals that are repetitive (0.313131313131) and decimals that end (0.25).
The opposite are irrational numbers that cannot be written in fraction forms and that include decimals that do not end or repeat (0.249654296432926....).
It is good to know a fraction with denomination equal to zero will give an undefined value.
Qué número multiplicado por – 10 da 90 DOY CORONA CHIQUILLOS CORAZON Y 5 ESTRELLAS!
11x + 2 = 2x -7
Please explain how you did the work and how you got your answer
Use the number line to identify the correct least value, first quartile, median, third quartile, and greatest value of the data.
4, 12, 9, 10, 8, 6, 5, 15, 5, 8
The least value, first quartile, median, third quartile, and greatest value of the data are 4, 5, 8, 9.75 and 15 respectively.
What is the least value, first quartile, median, third quartile, and greatest value of the data?The first step is to arrange the number in ascending order: 4, 5, 5, 6, 8, 8, 9, 10, 12, 15
Least value = 4 Greatest value = 15The median is the number in the center of the data set. The number is 8.
First quartile = 1/4 x (n + 1) = 2.75 number : 5
Third quartile = 3/4 x (n + 1) = 8.75 = 9.75
To learn more about median, please check: https://brainly.com/question/20434777
#SPJ2
Lexie is arranging 3 different books in a row on a shelf. Create a sample space for the arrangement of a biography (B), a mystery story (M), and a comic book
Answer:
d m c
d c m
m d c
m c d
c d m
c m d
6 ways
Step-by-step explanation:
what is the answer here??
Answer:
$225
Step-by-step explanation:
if 1% of 1700 is 17, then multiply 17 by 15, which i 255. so you spent $225 on tuition
giving brainliest and if u cant read down it says: if the spinner is spun 540 times throughout the day, how many dog or cat toys are expected to be given away? please help.
Answer:
324/540 cats and dogs should be expected to be given away
Step-by-step explanation:
First, write the fraction of the cats on the spinner plus the dogs on the spinner.
[tex]\frac{4}{10} + \frac{2}{10} = \frac{6}{10}[/tex]
Now, we have to make the denominator 540 but we have to make it equal so you divide.
540 ÷ 10 = 54
So, our fraction should look like this.
[tex]\frac{x}{540}[/tex]
Now, multiply 6 × 54 = 324
[tex]\frac{324}{540}[/tex] is our answer
Have a great day!
The dog or cat toys are expected to be given away = 378
What is probability?Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are.
If the spinner is spun 540 times throughout the day.
Total fraction of the cat and dogs together,
= 5/10+2/10
=7/10
Divide the 540 into 10 equal parts,
= 540/10
=54
let 'x' dog or cat toys are expected to be given away
So, x/540 = 7/10
x= 54*7
x= 378.
Hence, dog or cat toys are expected to be given away = 378/540
Learn more about this concept here:
https://brainly.com/question/15721135
#SPJ2
The length of a rectangle is 1 meter less than twice the width. Find the dimensions if the area is 45 square meters.
Answer:
Width = 5
Length = 9
Step-by-step explanation:
Assessment started: undefined.
Item 1
Which measurement is equivalent to 1 liter?
100 milliliters
1,000 milliliters
10,000 milliliters
100,000 milliliters
pls help. this is also math if you can help tysm
Answer:
a,d,e,f
Step-by-step explanation:
Trust me
Question 9 (3 points)
Which practice was not a result of scarcity, or shortage of resources, in Arkansas
during World War II?
(A)victory gardens
(B)meat rations
(C)scrap-metal drives
(D)bauxite mining
Answer: D) Bauxite mining
I did the test:) hope this helps
Which equation can be formulated from this problem situation? Two angles of a triangle measure 60 and 30 degrees. What is n, the number of degrees in the third angle?
A.(60 + 30) - n = 180
B.(60 + 30) + 180 = n
C.(60 + 30) - 180 = n
D.180 - (60 + 30) = n
Answer:
D.
Step-by-step explanation:
How many milliliters are equal to 7 liters?
Answer:
7000
Step-by-step explanation:
will name brainliest
Answer:
a=12
Step-by-step explanation:
We must use SOH, CAH, TOA
SOH= Sin0=opp/hyp
CAH=Cos0=adj/hyp
TOA= Tan0=opp/adj
Since we have opposite and hypotenuse we use Sin ratio, in this case,
sin30°= [tex]\frac{a}{24}[/tex]
[tex]\frac{1}{2}[/tex]=[tex]\frac{a}{24}[/tex] we cross multiply
[tex]\frac{2a}{2}[/tex]=[tex]\frac{24}{2}[/tex]divide both sides by 2 to get a by itself
a=12
Answer:
a = 12
Step-by-step explanation:
To find a, we will use the trigonometric ratio of Sin, since the opposite side of the angle given needs to be found out and the hypotenuse is given;
Sin(30) = [tex]\frac{a}{24}[/tex]
Sin(30) * 24 = a
12 = a
Hope this helps!
Suppose that g(x) = f(x) + 6. Which statement best compares the graph of g(x) with the graph of f(x)?
The graph of g(x) is the graph of f(x) shifted 6
A.units to the left
B.units up
C.units to the right
D.units down
Answer:
c. units to the right
Step-by-step explanation:
it would be units to the right because it's +6 meaning it moves to the right.
Answer:
6 units upwards
Step-by-step explanation:
The box plot shows the algebra scores of students in class A and class B.
The median score of class A is _____.
The interquartile range of class B is ____.
The difference of the medians of class A and class B is
the interquartile range of either data set.
Answer:
[tex]Mid(A) = 73[/tex]
[tex]IQR(B) = 8[/tex]
The difference of the medians of class A and class B is between the interquartile range of either data set.
Step-by-step explanation:
Given
The attached box plots
To answer this, see attached image for how to read a box plot
With reference to the attached image of how to read the box plot;
Solving (a): The median of class A
[tex]Mid(A) = 73[/tex]
Solving (b): IQR of class B
IQR is calculated as:
[tex]IQR =Q_3 - Q_1[/tex]
From the box plot of class B, we have:
[tex]Q_3 = 87[/tex]
[tex]Q_1 = 79[/tex]
So, we have:
[tex]IQR(B) = 87 - 79[/tex]
[tex]IQR(B) = 8[/tex]
Solving (c):
[tex]Mid(A) = 73[/tex]
[tex]Mid(B) = 82[/tex]
[tex]IQR(B) = 8[/tex]
IQR of class A is calculated as:
[tex]IQR =Q_3 - Q_1[/tex]
From the box plot of class A, we have:
[tex]Q_3 = 76[/tex]
[tex]Q_1 = 68[/tex]
So, we have:
[tex]IQR(A) = 78 - 68[/tex]
[tex]IQR(A) = 10[/tex]
The difference (d) between the medians is:
[tex]d =Mid(B) - Mid(A)[/tex]
[tex]d = 82 - 73[/tex]
[tex]d = 9[/tex]
From [tex]smallest[/tex] to [tex]largest[/tex], we have: 8, 9, 10
i.e. IQR(B), d, IQR(A)
Answer:
73
8
about half.
Step-by-step explanation:
I need help with this ASAP!!
9514 1404 393
Answer:
(b) g, h, f
Step-by-step explanation:
The larger the magnitude of the vertical scale factor, the quicker the graph takes on higher values. That makes its appearance narrower.
Here, you want to list the functions in decreasing order of vertical scale factor:
g(x) . . . scale factor 4
h(x) . . . scale factor 2
f(x) . . . scale factor 1/3
what is the answer to this question 600-9484
Hello~
The answer is
-8884
Brainliest please!
Ary~
Step-by-step explanation:
[tex]600 - 9484 \\ = - 8884[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
What is the volume of the right rectangular prism?
O A. 20 cubic centimeters
O B. 60 cubic centimeters
O C. 128 cubic centimeters
O D. 168 cubic centimeters
O E. 240 cubic centimeters
Answer:
please the answer is 240 cubic centimeters
please help im reallyyyy desperate
NO LINKS OR FILES
Answer:
(2, -3), (3, -3)
Step-by-step explanation:
y = x^2 - 5x + 3
y = -3
x^2 - 5x + 3 = -3
x^2 - 5x + 6 = 0
(x - 3)(x - 2) = 0
x - 3 = 0 or x - 2 = 0
x = 3 or x = 2
We are given y = -3.
Answer: (2, -3), (3, -3)
Answer:
(2, -3) , (3, -3)
Step-by-step explanation:
One is asked to find what values of the parameter (x) will yield the result (f(x)=-3) if the function (f(x)) is the following,
[tex]f(x)=x^2-5x+3[/tex]
Set this equation up, and solve to find the value of (x) that satisfies this requirement:
[tex]f(x)=x^2-5x+3=-3[/tex]
Inverse operations,
[tex]x^2-5x+6=0[/tex]
Factor, rewrite the quadratic equation as the product of two linear equations,
[tex](x-2)(x-3)=0[/tex]
Therefore the solutions are the following, the (x-coordinate) represents the input, and the (y-coordinate) represents the output.
(2, -3), (3, -3)
please help i suck at math lol; what is the slope of the line that passes through the points (-12,-4) and (-16,4)
Answer:
the slope = -2
Answer:
-2
Step-by-step explanation:
An apple-juice container has a tiny hole in it, so it is slowly leaking. If the container leaks three
ounces every 19 minutes, how long will it take for the 16 ounces of juice in the container to leak
out? Write a proportional equation and solve with J.R.'s strategy of using a Giant One. 3 id
14
Answer:
101.33333 minutes
Step-by-step explanation:
Given :
Leakage rate = 3 ounces per 19 minutes
Time it'll take for 16 ounces of juice in the container to leak out
The leakage rate on ounce per minute :
3 ounces / 19 minutes = 0.1578947 ounce per min
1f 0.1578947 ounces leak out in 1 minutes
16 ounces will leak out in x minutes
Hence ;
0.1578947x = 16 ounces
x = 16 / 0.1578947
x = 101.33335 minutes
OR :
3 ounces = 19 minutes
1 ounce = (19 / 3) = 6.333333 minutes
16 ounces = (15 + 1) ounce
15 ounces = 3 * 5
Hence, 15 ounces will leak in (19 minutes * 5) = 95 minutes
1 ounce = 6.33333 minutes
Hence,
16 ounces will leak in (95 minutes + 6.33333 ounces) = 101.33333 minutes
HENCE, All 16 ounces will leak out in 101.33333 minutes
Solve the system of equations.
57 - 10x = 45
-
- 3y + 10x = -5
Answer: Step-by-step explanation:
57 - 10x = 45
-10x=-12
x=1.2
- 3y + 10x = -5
-3y+10=-5
-3y=-15
y=5
Answer:
1) 57 - 10x = 45 answer: x=−51/5
2) - 3y + 10x = -5 answer: x=3/10y+−1/2 or y=10/3x+5/3
Step-by-step explanation: Hope this help :D
The diameter of a circle is 12 cm. Find the circumference to the nearest tenth
Answer:
Step-by-step explanation:
38 or 37.7 when not rounded
hope this helps
Check if x=-1 is a solution to x3 + 3x^2 = x+3. Which statement do you get?
A. 1=1
B. 0=0
C. 4= 4
D. 2 = 2
Answer:
D. 2 = 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
x³ + 3x² = x + 3
x = -1
Step 2: Check
Substitute in x: (-1)³ + 3(-1)² = -1 + 3Evaluate exponents: -1 + 3(1) = -1 + 3Multiply: -1 + 3 = -1 + 3Add: 2 = 2
Find the area of a rectangular with dimensions of 9yd and 2yd
Answer:
[tex]18yd^{2}[/tex]
Step-by-step explanation:
Area = length * width
Area = 9 * 2
Therefore, area is [tex]18yd^{2}[/tex]
Answer:
C
Step-by-step explanation:
A=wl
A=2yd*9yd
A=18[tex]yd^{2}[/tex]
The number of tickets sold to a play for each showing is 78, 84, 87, 80, 91, 95, and 80. Find the mean, median, mode, and range. *
Answer:
mean=85
median=84
mode=80
range=17
Step-by-step explanation:
How to Find the Mean
Add up all data values to get the sumCount the number of values in your data set Divide the sum by the countHow to Find the Median
Arrange data values from lowest to the highest value The median is the data value in the middle of the set If there are 2 data values in the middle the median is the mean of those 2 values.How to Find the Mode
Mode is the value or values in the data set that occurs most frequently.How to Find the Range
First, put all the numbers in order.Then subtract (take away) the lowest number from the highest. The answer gives you the range of the list.