Answers
Answer:
[tex](-7,4]\text{ or }\{x|-7<x\leq 4\}[/tex]
Step-by-step explanation:
The domain is the span of x-values covered by the function.
From the graph, we can see that the graph covers all the x-values from x=-7 to x=4.
However, note that closed and open circles. There is an open circle at x=-7, which means that the domain excludes x=-7. However, the circle at x=4 is closed, meaning it is included in the domain.
Therefore, the domain is, in interval notation:
[tex](-7,4][/tex]
We use parentheses on the left because we do not include -7. And we use brackets on the right because we do include the 4.
And in set notation, this is:
[tex]\{x|-7<x\leq 4\}[/tex]
Answer:
The domain is the span of x-values covered by the function.
From the graph, we can see that the graph covers all the x-values from x=-7 to x=4.
However, note that closed and open circles. There is an open circle at x=-7, which means that the domain excludes x=-7. However, the circle at x=4 is closed, meaning it is included in the domain.
Therefore, the domain is, in interval notation:
(-7,4](−7,4]
We use parentheses on the left because we do not include -7. And we use brackets on the right because we do include the 4.
And in set notation, this is:
\{x|-7
Related Questions
This for math. Rewriting Fractions
How do you decide which number to use in the Giant One?
Answers
Answer:
factor of hundred is
100 - 1, 2,4,5,10,100
what is the answer to (2-7)(5-3)+3² ?
Answers
Answer: -1
Step-by-step explanation:
(2-7) (5-3)+ 3^2
(-5) (2)+9 Multiply -5 and 2
-10+9 Add -10 to 9
-1
one half of 4 times y plus the quantity of y and 3
Answers
Answer:
y = -1
Step-by-step explanation:
1/2 of 4y + (y + 3) = 0
1/2 X 4y + (y + 3) = 0
4y/2 + (y + 3) = 2y + y + 3 = 0
3y = -3
∴ y = -1
Answer:
1/2*4*y+(y*3)
1/2*4*y+(3y)
1/2*4y+(3y)
2y+(3y)
=5y
Step-by-step explanation:
Micheal recorded the number of points his team scored for the first seven basketball games, 64,58,60,52,56,62,54 Which box plot correctly represents the data?
Answers
Answer:
The correct box plot is B (Bottom left)
Step-by-step explanation:
I have attached the appropriate picture containing the box plots to this answer. In order to choose the most appropriate box plot, we have to find the median of the distribution and locate the box plot showing the correct median. This is done as follows:
To find the median, we will first arrange the distribution in ascending (or descending) order
Median = 52, 54, 56, 58, 60, 62, 64
Next, we will group the data into two halves, and choose the middle term, which is 58. this becomes the median.
From the diagram, box plots, A, B and C have their median as 58, in order to determine the correct plot, we will find the medians to the lower and upper halves of the distribution. This is done as follows:
Lower half: 52, 54, 56, 58
Median of lower half = (54 + 56) ÷ 2 = 55
upper half = 58, 60, 62, 64
Median of upper half = (60 + 62) ÷ 2 = 61
From the picture the plot with these three medians from lower half to upper half (55, 58, 61) is plot B (bottom left)
Note the medians are the lines that form the boundaries and at the middle of the box.
Answer:
The answer is B bottom left :
solve inequality 4+2(a+5)<-2(-a-4)
Answers
Answer:
x= no real numbers
Step-by-step explanation:
4+2(a+5)<-2(-a-4)
Distribute
4+2*a+2*5<-2*-1-2*-4
Simplify.
4+2a+10<2a+8
14+2a<2a+8
Subtract 2a from both sides
14<8
This is false.
There are no real solutions to the given inequality,
lauren bought 6 yellow roses, 10 orange roses, 12 pink roses to make a bouqet. what is the ratio of the number yellow roses to the total number of roses in lauren's bouquet?
Answers
Answer:
The ratio is 3 : 14 .
Step-by-step explanation:
Given that there are 6 yellow, 10 orange and 12 pink roses.
So there are a total of 28 roses, 6+10+12 = 28.
The question wants the ratio of yellow roses to total roses so, the ratio is 6 : 28.
Next, you have to give in simplest form where you have to divide 2 which is 6/2 : 28/2 equals to 3 : 14.
Please help me with this question ASAP.
How many planes of symmetry are there in a regular hexagonal prism?
Answers
Answer:
we have 6 planes of symmetry
hi plz help me with this geometry question
Answers
Answer:
Approximately 54°
Step-by-step explanation:
So we know Angle A, the side opposite to Angle A, and the side opposite to Angle B (the angle we want to find). Given these circumstances, we can use the Law of Sines.
The Law of Sines states that:
[tex]\frac{\sin(A)}{a} =\frac{\sin(B)}{b} =\frac{\sin(C)}{c}[/tex]
The variables do not really matter. Instead, it's more important that the angle corresponding to the side lines up with each other.
Anyways, since we know Side A, Angle A, and Side B, let's use the first and second ratios:
[tex]\frac{\sin(A)}{a} =\frac{\sin(B)}{b}[/tex]
Plug in 80° for A, 11 for a, and 9 for b:
[tex]\frac{\sin(80)}{11} =\frac{\sin(B)}{9}[/tex]
Cross multiply to solve for B:
[tex]9\sin(80)=11\sin(B)[/tex]
Divide both sides by 11:
[tex]\sin(B)=\frac{9\sin(80)}{11}[/tex]
Use the inverse sine function. And finally, use a calculator to solve:
[tex]\angle B =\sin^{-1}(\frac{9\sin(80)}{11} )\\\angle B\approx53.6829\textdegree\approx54\textdegree[/tex]
Help now. a storage tank in the shape of a cuboid of base 2.5 m by 2 m can hold up to 7500 litres of water. Calculate the height of the tank.
Answers
Answer:
Height of the tank is 1.5m
Step-by-step explanation:
Given
Shape: Cuboid
Base Dimension = 2.5m by 2m
Volume = 7500 litres
Required
Determine the height of the tank
First, the area of the base has to be calculated;
[tex]Area = 2.5m * 2m[/tex]
[tex]Area = 5.0m^2[/tex]
Next is to calculate the height using volume formula;
[tex]Volume = Area * Height[/tex]
Recall that Volume = 7500L [Convert to m³]
[tex]1 L = 0.001m^3[/tex]
So;
[tex]7500L = 7500 * 0.001m^3[/tex]
[tex]7500L = 7.5m^3[/tex]
Hence;
[tex]Volume = 7.5m^3[/tex]
Substitute 7.5m³ for Volume and 5.0m² for Area in the following formula
[tex]Volume = Area * Height[/tex]
[tex]7.5m\³ = 5.0m\² * Height[/tex]
Divide both sides by 5.0m²
[tex]\frac{7.5m\³}{5.0m\²} = \frac{5.0m\² * Height}{5.0m\²}[/tex]
[tex]\frac{7.5m\³}{5.0m\²} = Height[/tex]
[tex]1.5m = Height[/tex]
[tex]Height = 1.5m[/tex]
Hence, the height of the tank is 1.5m
Evaluate the Expression using the given values:
3x + y; use x =
1 and y.= 3
Answers
Answer:
6
Step-by-step explanation:
3x + y =
= 3(1) + 3
= 3 + 3
= 6
3(1) + 3
3 + 3
6
Rachael wants to receive monthly payments of $2,775 for 20 years. How much does she have to invest now in an annuity that offers an annual interest rate of 6%? Round your answer to the nearest $100.
Answers
Answer:
$387,336.64 1
Step-by-step explanation:
The computation of the amount invested now is shown below:
Here we use the present value formula i.e. to be shown in the spreadsheet
Given that,
Future value = $0
Rate of interest = 6% ÷ 12 months = 0.5%
NPER = 20 years × 12 months = 240 months
PMT = $2,775
The formula is shown below:
= -PV(Rate;NPER;PMT;FV;type)
So, after applying the above formula, the present value is $387,336.64 1
0.227 convert into rational number
Answers
Answer:
[tex]\frac{227}{1000}[/tex]
Step-by-step explanation:
A rational number has the form
[tex]\frac{a}{b}[/tex] where a and b are integers
Given
0.227 ← with the 7 in the thousandths place value position, then
= [tex]\frac{227}{1000}[/tex]
Suppose a student picks 2 points at random from A, B, C, and D shown below. Find the probability that these randomly chosen points are collinear
Answers
Answer:
The image is not shown, but this can be answered.
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
This says that, for any given two points, we can find a line that passes through both of them.
Then we have that two points are ALWAYS collinear.
Then does not matter which points the student chooses, because we can find a line that passes through them, then the probability that these randomly chosen points are collinear is 1 or 100% in percentage form.
Write a function $\verb#most_common_letter(string)#$ that determines the most commonly occurring letter in the input string. (If more than one letter is tied, it doesn't matter which one you return.) You should consider upper and lower case as the same letter. For example, $\verb#most_common_letter('This is a test of the function I have written')#$ should return 't', because 't' occurs 7 times, more than any other letter -- it occurs once as 'T' and 6 times as 't'.
Answers
Answer:
I am writing a Python program:
def most_common_letter (string): #function that takes a string as argument and returns the most commonly occurring letter in string
string = string.lower() # converts the string into lower case
inp_string="".join(string.split()) #splits the string in to a list and joins the elements of the list
maximum = 0 #sets the value of maximum to 0
letter = "" #stores the most commonly occurring letter
length = len(inp_string) #returns the length of the input string
counter = 0 #counts the occurrences of the letter in the string
for i in range(0, length): # iterates through the length of string
j = 0 #initializes j to 0
char = inp_string[i] # holds letter of input string at index position i
while length > 0: # iterates until the length of string exceeds 0
if (char == inp_string[j]): # if letter in char is equal to letter at index j of the string
counter += 1 #adds 1 to the count
j += 1 #increments j by 1
length -= 1 #decrements value of length by 1
if (maximum <= counter): #if maximum value is less than counter
maximum = counter #sets the maximum number of occurrences of a letter to maximum
letter = char #sets the most occuring letter in string to letter
return letter #returns the most commonly occurring letter in the input string
#in order to check if the function works properly use following statement
print(most_common_letter("This is a test of the function I have written")) #calls most_common_letter method by passing a string to it
Step-by-step explanation:
The program works as follows:
I will explain this with the help of an example. Suppose the string is:
string = "hello worLd"
first this string is converted to lowercase using lower() method. So the string becomes:
string = "hello world"
Next the string is split into a list using split() method. The string becomes:
['hello', 'world']
Then using join() this string is joined together on the basis of "" empty space
So the string becomes
helloworld
This string is assigned to the inp_string variable. Hence
inp_string = "helloworld"
The value of maximum is initialized to 0 and variable letter is also declared
which holds the most commonly occurring letter in the inp_string
len function is used to get the length of the inp_string
counter is initializes to 0. This counts the number of times the letter occurs in a string
The for loop iterates through the inp_string
Inside the loop the statement char = inp_string[i] sets the letter at the i-th index of inp_string to char.
i is initialized to 0 so inp_string[i] is inp_string[0] which is the first element of the string i.e. "h".
The program control then moves to the while loop. As length>0 so the program moves to the body of while loop which has an if statement: if (char == inp_string[j]):
This checks if the letter stored in char is equal to the letter at j-th index of the string. Now as j is initialized to 0. So
if (char == inp_string[0]): this evaluates to true and value of counter is incremented to 1. Next value of j also incremented to 1 and length of string is decremented to 1 Hence
counter = 1
j = 1
length = 9
Next if (maximum <= counter): condition checks if value of maximum is less than or equal to counter. It is true because maximum=0 and counter =1
So maximum = counter assigns counter value to maximum and letter = char assigns char to letter which was initially empty.
maximum = 1
letter = 'h'
At occurrence each iteration each letter in a string is counted and the letter that occurs the most in the string is returned by the function. For the above example hello world, letter l appears 3 times in the string and it is the most commonly occurring letter in the input string. So letter "l" is returned by this function. Hence the output of this program is l.
change to a whole number or mixed number 12/7
Answers
Answer:
1 5/7
Step-by-step explanation:
[tex]\frac{12}{7} \\= 12\div 7 = 1\: remainder\: 5\\\\= 1 \frac{5}{7}[/tex]
Answer: 1 and 5/7
Step-by-step explanation: To write an improper fraction as a mixed number,
divide the denominator into the numerator.
So here, we have 7 divided into 12.
7 divides into 12 one time, 1 × 7 is 7, and 12 - 7 is 5.
So 7 divides into 12 one time with a remainder of 5.
So we have 1 whole and 5 out of 7 parts or 1 and 5/7.
So the improper fraction 12/7 can be written
as the mixed number 1 and 5/7.
Find the value of Z
Answers
Answer:
z=104
Step-by-step explanation:
A line is always 180 degrees.
This model is formed by 2 lines.
z and 76 form a line, which means that they are supplementary.
We can set up this equation:
z+76=180
Subtract 76 from both sides.
z=104
If you needed to figure out x, it would also be 104 degrees.
This is because x and z are vertical angles.
Vertical angles are always congruent.
The probability of a middle school student owning a skateboard is 0.58, of owning a bicycle is 0.48 and of owning both is 0.45. If a middle school student is chosen at random, what is the probability that the middle school student owns a skateboard or a bicycle?
Answers
Answer:
The probability that the middle school student owns a skateboard or a bicycle is 0.61.
Step-by-step explanation:
We are given that the probability of a middle school student owning a skateboard is 0.58, of owning a bicycle is 0.48, and owning both is 0.45.
A middle school student is chosen at random.
Let the probability of student owning a skateboard = P(S) = 0.58
The probability of student owning a bicycle = P(B) = 0.48
The probability of student owning both = P(S [tex]\bigcap[/tex] B) = 0.45
Now, the probability that the middle school student owns a skateboard or a bicycle is given by = P(S [tex]\bigcup[/tex] B)
P(S [tex]\bigcup[/tex] B) = P(S) + P(B) - P(S [tex]\bigcap[/tex] B)
= 0.58 + 0.48 - 0.45
= 0.61
Hence, the probability that the middle school student owns a skateboard or a bicycle is 0.61.
Convert the angle 4.5 radians to degrees, rounding to the nearest 10th
Answers
Answer:
257.8
Step-by-step explanation:
The angle of 4.5 radians is approximately equal to 257.8 degrees.
How to convert radians to degrees?The formula to convert radians to degrees is written as follows:
degrees = radians x (180/π)
where π (pi) is approximately 3.14159.
To convert 4.5 radians to degrees, we can use the conversion factor 180/π, which is the number of degrees in one radian.
degrees = 4.5 x (180/π)
degrees ≈ 257.87 degrees (rounded to the nearest 10th).
Therefore, the angle of 4.5 radians is approximately equal to 257.8 degrees.
Learn about the conversion of radians to degrees here:
https://brainly.com/question/31673497
#SPJ2
PLEASE HELP Rearrange the equation so r is the independent variable. 10q - 5r = 30
Answers
Answer:
r = 2q - 6
Step-by-step explanation:
10q - 5r = 30
-10q -10q
-5r = -10q + 30
/-5 /-5 /-5 -10/-5 = 2 30/-5 = -6
r = 2q - 6
Plz help ASAP Will mark brainliest!!!!!!
Answers
Answer:
Option C
Step-by-step explanation:
If we see, the order is that:
if 1 green block increases, then 1 blue block will increase in the next.
Since, 1 green block increased, so 1 blue block will increase in the next.
So, the answer is C.
Solve this equation
[tex]15x + 2 = 58[/tex]
Answers
15x=58+-2
15x=58
X=3.73333333333
━━━━━━━☆☆━━━━━━━
▹ Answer
3.73 or 3 11/15
▹ Step-by-Step Explanation
15x + 2 = 58
Do the inverse operation (subtract 2 from both sides)
2 - 2 = na
58 - 2 = 56
15x = 56
Divide 15 on both sides:
15/15 = x
56/15 = 3.73 or 3 11/15
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
s the a discrete random variable, a continuous random variable, or not a random variable? exact time it takes to evaluate 27 + 72 A. It is a discrete random variable. B. It is a continuous random variable. C. It is not a random variable.
Answers
Answer: B. It is a continuous random variable.
Step-by-step explanation:
A continuous random variable is a random variable where the data or value can assume infinitely many values ( meaning it’s a continuous set of data. )
For example a random variable measuring the time taken for someone to cook rice is continuous since there are an infinite number of possible times that can be done.
Answer:
its b i got it right
Step-by-step explanation:
Standard form please help explanation not needed
Answers
Answer:
0.0003652
Step-by-step explanation:
3.652 * [tex]10^{-4} = \frac{3.652}{10^{4}}= \frac{3.652}{10000}=0.0003652[/tex]
please help me on this geometry i’ll mark you the brainliest
Answers
Answer:
x = 14
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
7x - 3 is an exterior angle of the triangle, thus
7x - 3 = 4x - 2 + 41
7x - 3 = 4x + 39 ( subtract 4x from both sides )
3x - 3 = 39 ( add 3 to both sides )
3x = 42 ( divide both sides by 3 )
x = 14
Write a life situation for the inequality x<2
Answers
Answer:
see below (I hope this helps!)
Step-by-step explanation:
A real-life situation for this inequality could be "Tom runs a lemonade stand. His profit is x. If Tom knows that his profit is less than 2 dollars, what inequality represents this situation?"
Which of the following is equal to the expression below?
(625x48)^1\4
Answers
Answer:
Step-by-step explanation:
Factorize 625 & 48
625 = 25 * 25 = 5 * 5 * 5 * 5 = 5⁴
48 = 16 * 3 = 2 * 2 * 2 * 2 *3 = 2⁴ * 3
[tex]\sqrt[4]{625*48} = \sqrt[4]{5^{4} * 2^{4} * 3}=5*2\sqrt[4]{3}[/tex] =[tex]10\sqrt[4]{3}[/tex]
what is 6 x2 simplified?
Answers
Answer:
12?
Step-by-step explanation:
Answer:
12, 6 x 2 =12
Write the interval-25 < x < 30
using set notation and interval
notation.
Answers
Answer:
Set notation: { x ∈ ℝ | -25 < x < 30 }
Interval notation: (-25, 30)
Step-by-step explanation:
In set notation,
"x ∈ ℝ" means "x is an element of all real numbers"
you then write the restrictions after that, which would be "-25 < x < 30"
this gives you { x ∈ ℝ | -25 < x < 30 },
"x is an element of all real numbers, such that x is larger than -25 and less than 30"
In interval notation, it is written as (-25, 30). The parentheses mean that the interval does not include the numbers -25 or 30.
If the interval does include those numbers, i.e. if it was "-25 ≤ x ≤ 30" instead of "-25 < x < 30" you would use brackets instead of parentheses,
giving you {-25, 30}.
Please turn this word problem into an equation.... Braden and Michael are running laps. Braden runs 3 less than twice as many as Michael. Together they run 12 laps.
Answers
Answer: x+ 2x -3 = 12
Step-by-step explanation:
x represents Michael's laps. 2x -3 represents Braden's laps. Added together for a total of 12
One step further would be to combine the x terms, so the equation becomes 3x - 3 = 12
Explain the Golden Rule for solving equations using an example. NEED HELP QUICK
Answers
Answer:
See explanation
Step-by-step explanation:
The golden rule for solving equations is to
A. Simplify each side of the equation by removing parentheses and combining like terms
B. Add/Subtract to isolate the term with the variable on one side
C. Use multiplication/division to isolate the variable
Let's assume we have the equation [tex]2x + 3x + (5\cdot2) = 35[/tex]
The first thing we need to do is solve inside the parentheses and combine like terms. 2x and 3x are like terms, so:
[tex]2x + 3x + 10 = 35\\\\5x + 10 = 35[/tex]
Now we have to subtract/add to isolate the term with the variable. To do this, we can subtract 10 from both sides.
[tex]5x + 10 - 10 = 35-10\\\\5x = 25[/tex]
Now we divide to isolate x.
[tex]5x \div 5 = 25\div5\\\\x = 5[/tex]
Hope this helped!