The type of the function for the given graph f(x) on the right is odd function.
What is meant by a function?An exact one of each element of Y is assigned to each element of X via a mathematical function from a set X to a set Y. The sets X and Y are denoted by the terms "domain" and "codomain," respectively.
The link between varying amounts and other variables was the foundational idea behind functions. The effect of time on a planet's position serves as an example of this. The infinitesimal calculus was used to develop the concept in the past, beginning at the end of the 17th century and continuing through the 19th century.
An odd function's graph possesses rotational symmetry with respect to the origin, which means that it doesn't change after being rotated by 180 degrees around the origin.
Therefore, The type of the function for the given graph f(x) on the right is odd function.
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AC = 12√3. Find BC and AB. Write answer in simplest form.
BC = a
AC = b= 12√3
AB =c
A= 30°
B=60°
C=90°
Using the sine rule
\(\frac{\sin\text{ A}}{a}=\frac{\sin B}{b}\)substitute the values into the above
\(\frac{\sin30}{a}=\frac{\sin 60}{12\sqrt[]{3}}\)\(\frac{\frac{1}{2}}{a}=\frac{\frac{\sqrt[]{3}}{2}}{12\sqrt[]{3}}\)\(\frac{1}{2\times a}=\frac{\sqrt[]{3}}{2\times12\sqrt[]{3}}\)\(\frac{1}{2a}=\frac{\sqrt[]{3}}{24\sqrt[]{3}}\)\(\frac{1}{2a}=\frac{1}{24}\)cross multiply
\(2a=\text{ 24}\)\(a=12\)Therefore BC = 12
Let's proceed to find AB
\(\frac{\sin A}{a}=\frac{\sin C}{c}\)\(\frac{\sin30}{12}=\frac{\sin 90}{c}\)\(\frac{\frac{1}{2}}{12}=\frac{1}{c}\)\(\frac{1}{2\times12}=\frac{1}{c}\)\(\frac{1}{24}=\frac{1}{c}\)cross-multiply
\(c=24\)
What is the GCF of 2ab + 8b?
Answer:
It is given that Tawanna is asked to find the GCF of each term in the expression 2ab+8b.
Firstly she should find the factors of each term in the expression as :
2ab=1,2,a and b
8b=1,2,4,8 and b
Now, GCF is the greatest common factor, since the GCF of the above terms is 1,2 and b, thus she should use each common factor once.
She wrote the common factors twice which is the error in her solution, thus she should use each common factor once.
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
A billing company that collects bills for doctors' offices in the area is concerned that the percentage of bills being paid by medical insurance has risen. Historically, that percentage has been 31%. An examination of 8,606 recent, randomly selected bills reveals that 32% of these bills are being paid by medical insurance. Is there evidence of a change in the percent of bills being paid by medical insurance
Answer:
Following are the responses to the given question:
Step-by-step explanation:
\(H_o : p =0.31\\\\H_a: p \neq 0.31\\\\n = 8606 \\\\ p^ = 0.32\)
\(TS = \frac{(p^ - p)}{\sqrt{(\frac{pq}{n})}}\)
\(= \frac{(0.32-0.31)}{\sqrt{(\frac{0.31\times 0.69}{8368})}}\\\\=\frac{0.01}{5.4}\\\\=0.00185\\\\\)
Tim and Dan were playing football against Jason and Luke.Touchdowns are worth 7 points .Tim and Dad scored 4 touchdowns. Jason and Luck's team scored 9 touchdowns.How many points did Jason and Luke team have than Tim and Dan's team?
Answer:
35, if Tim and Dan scored 4 together, 7 if each scored 4 touchdowns
Answer 23 and the 24 ples explain. draw the problem or calculate it.
Given :
The slope = -3
Y- intercept = 7
The general equation of the line is :
\(y=m\cdot x+b\)Where m is the slope and b is y- intercept
So,
\(\begin{gathered} m=-3 \\ b=7 \end{gathered}\)Substitute with m and b in the general form
so, the equation of the line will be :
\(y=-3x+7\)
There are 27 campers this is nine times as many as the number of counselors how many counselors are there
Answer:
3
Step-by-step explanation:9x3
Answer:
3
Step-by-step explanation:
It’s 3 because its 27 which is 9 times the amount so it would be 9x3 which is 27
The diameter
of the Earth is 1.3 × 10 km.
The diameter of the Moon is 3.5 × 10 km.
The diameter of the Sun is 400 times greater
than the diameter of the Moon.
How many times smaller is the diameter of
the Earth than the diameter of the Sun
Earth's diameter is 0.0092 times less than the sun's diameter.
Ratio, in math, is a time period this is used to examine or greater numbers. It is used to indicate how large or small a sum is in comparison to another.In a ratio, portions are as compared the use of division. Here the dividend is referred to as the `antecedent' and the divisor is referred to as the 'consequent'. For example, in a collection of 30 people, 17 of them opt for to stroll within side the morning and thirteen of them favor to cycle. We use the ratio formulation whilst evaluating the connection among numbers or portions. The popular shape of representing a ratio of among portions say 'a' and 'b' is a: b, that's examine as 'a is to b'.The Diameter of Earth = 1.3 * 10⁴ km
The Diameter of Moon = 3.5 * 10³ km
Let the diameter of sun be x km
According to the question
The diameter of the sun is 400 times that of the moon.
x = 400 * 3.5 * 10³ km
= 14 * 10⁵ km
The Diameter of earth / diameter of sun
= 1.3 * 10⁴ / 14 * 10⁵
= 0.0092
Hence, The diameter of the Earth is 0.0092 times that of the Sun.
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How many 15/6 s are in 1 and 7/8
Answer:
0.75
Step-by-step explanation:
1+7/8
over 15/6
exact results are 3/4 but decimal form its 0.75 and percentage is 75%
The original plan for assigning telephone numbers that you investigated in
Applications Task 4 was implemented in
1947. At that time, the supply of numbers was expected to last for 300 years. However, by the 1970s the numbers were already starting to run out. So, the numbering plan
had to be modified. In this task, you will count the number of different phone numbers that were available in 2012.
a. For three-digit area codes, the first digit cannot be a 0 or a 1. Assuming no additional restrictions, how many three-digit area codes are possible under
this plan?
b. Certain area codes are classified as "Easily Recognizable Codes" (BRCs).
ERCs designate special services, like 888 for toll-free calls. The requirement for an ERC is that the second and third digit of the area code must be the same. The first digit again cannot be a 0 or a 1. How many ERCs are there?
c. Consider the seven digits after the area code. As with the area code, the first digit of the three-digit local prefix cannot be a 0 or a 1. The remaining six digits for the local number have no restrictions. How many of these seven-digit phone numbers are possible?
d. Assuming only the 0 and 1 restrictions in Parts a and c, how many ten-digit phone numbers are possible?
a. Assuming no additional restrictions, there are 800 possible three-digit area codes.
b. Considering ERCs, there are 80 ERCs.
c. For the seven digits after the area code, there are \(8 \times 10^6 = 8,000,000\) possible seven-digit phone numbers.
d. Assuming only the 0 and 1 restrictions from parts a and c, the number of possible ten-digit phone numbers is 800 \(\times\) 8,000,000 = 6,400,000,000.
a. For three-digit area codes, the first digit cannot be 0 or 1.
Assuming no additional restrictions, there are 8 possibilities for the first digit (2-9) and 10 possibilities for each of the remaining two digits (0-9). Therefore, the total number of three-digit area codes possible under this plan is \(8 \times 10 \times 10 = 800.\)
b. For an ERC (Easily Recognizable Code), the second and third digits of the area code must be the same, and the first digit cannot be 0 or 1. There are 8 possibilities for the first digit (2-9) and 10 possibilities for the third digit (0-9).
Since the second digit must be the same as the third digit, there is only 1 possibility.
Therefore, the total number of ERCs is \(8 \times 1 \times 10 = 80.\)
c. For the seven digits after the area code, the first digit of the three-digit local prefix cannot be 0 or 1.
There are 8 possibilities for the first digit (2-9) and 10 possibilities for each of the remaining six digits (0-9).
Therefore, the total number of seven-digit phone numbers possible is 8 * \(10\times 10 \times 10 \times 10 \times 10 \times 10 = 8,000,000.\)
d. Assuming only the 0 and 1 restrictions from parts a and c, the number of possible ten-digit phone numbers can be calculated by multiplying the number of possibilities for each digit position.
For the area code (part a), there are 800 possibilities.
For the seven digits after the area code (part c), there are 8,000,000 possibilities.
Therefore, the total number of ten-digit phone numbers possible is 800 * 8,000,000 = 6,400,000,000.
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Which transformations could have taken place to
map AABC to AA"B"C"?
O a reflection and a dilation
O a rotation and a dilation
O a translation and a dilation
O a reflection and a translation
Answer:
a dilation and translation
Step-by-step explanation:
we know its a dilation because the lines of congruency are in the same area but the triangles are of different sizes
we know it's a translation because the triangles are in two different places instead of having something overlap
HELP QUESTION IS IN THE PHOTO ILL GIVE YOU EXTRA POINTS
Solve Only estimation
Answer:
3a)1680
b)2620
4a)2130
b)13300
c)460
d)7540
Step-by-step explanation:
3a)1500+180
b)2800-170
4a)1800+330
b)7300+6000
c)670-210
d)8000-460
Answer:
a) 1600
b) 2600
c) 2200
d) 13200
e) 500
Step-by-step explanation:
a) 1463 + 179
1400 + 200
1600
b) 2806 - 176
2800 - 200
2600
c) 1831 + 329
1900 + 300
2200
d) 7345 + 5893
7300 + 5900
13200
e) 665 - 213
700 - 200
500
For the function y = -2x + 20, what is the output when the input is 50.
Answer:
y = -2(50) + 20
y = -100 + 20 = -80
Find the length of side X in simple radical form with a rational denominator
The length of side X in simple radical form with a rational denominator is 10/√3.
What is a 30-60-90 triangle?In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.
This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):
Adjacent side = 5/√3
Hypotenuse, x = 2 × 5/√3
Hypotenuse, x = 10/√3.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
What is the sale price of a $850 Xbox with a markdown of 20%?
Consider the arithmetic sequence:3,5,7,9,...If n is an integer, which of these functions generate the sequence?
Answer:
Tn = 2n+1
Explanation:
Gven tthe arithemetic sequence 3, 5, 7, 9...
The nth term of the sequence is expressed as;
Tn = a + (n-1)*d
Given
first term a = 3
Common difference d = 5 - 3 = 7 - 5 = 2
Substitute into the expression
Tn = 3 + (n-1) * 2
Tn = 3 + 2n - 2
Tn = 2n + 1
hence the function that gennerate the sequence is Tn = 2n+1
bought for 15$ sold for 49.50, what is markup percentage?
Answer:
17.65%
Step-by-step explanation:
https://www.calculatorsoup.com/calculators/financial/markup-calculator.php?cost=49.50&margin=15&action=solve
This table represents a linear function?
X o 5
Y5 15
The greater unit of the two
The greater unit rate of the two functions is 2. The greater y-intercept of two functions is 6.
What is the unit rate?Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.
From the given table, (0, 5) and (5, 15)
Here, slope(m)=(y2-y1)/(x2-x1) =(15-5)/(5-0)
= 10/5
= 2
Substitute m=2, (x, y)=(0, 5) in y=mx+c, we get
5=2(0)+c
c=5
Substitute m=2, c=5 in y=mx+c, we get
y=2x+5 --------(I)
From the graph, (-4, 0) and (0, 6)
Here, slope(m)=(6-0)/(0+4)
= 3/2
= 1.5
Substitute m=1.5, (x, y)=(0, 6) in y=mx+c, we get
6=1.5(0)+c
c=6
Substitute m=1.5, c=6 in y=mx+c, we get
y=1.5x+6 --------(II)
Therefore, the greater unit rate of the two functions is 2. The greater y-intercept of two functions is 6.
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Determine whether each expression is equivalent to (10 X 18) + (10 X s).
Choose Yes or No for each expression.
A 190 XS
B 20 x 18s
C 180 + 10s
D(10 + 10) x (18+ 8)
E 10(18+ s)
How do you add (-54)+34?
Answer:
-20
Step-by-step explanation:
Marking as brainliest!!
Answer:
10 ft
Step-by-step explanation:
A student drops a penny of a house that is 16 feet tall if the equation of height as a function is h(t)= -16t2 + initial height where t is time in seconds and h(t) is height in feet, how many seconds will it take for the penny to hit the ground
Answer:
Step-by-step explanation:
the correct answer is 1 second
The time it will take for the penny to hit the ground is 1 second.
What is a linear equation?A linear equation has one or two variables.No variable in a linear equation is raised to a power greater than 1.No variable is used as the denominator of a fraction. A linear equation is defined as an equation that is written in the form of ax+by=c. When solving the system of linear equations, we will get the values of the variable, which is called the solution of a linear equation.
solving this we will get the valve of Y if x is given.
Calculation:-
Given initial feight= 16 feet
h(t)= -16t2 + initial height
for 1 second
⇒ h(1)= -16(1)2 +16
⇒ h = -32 +16
⇒ h = -16 ( 16 feet downward i.e penny will tough the ground)
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An owner wants to discount his pizza from $15 to $14.25, how much percent does he need to discount?
Answer:
5%
Step-by-step explanation:
Amount of money that is discounted
= $15 - $14.25
$0.75
Percentage that needed to be discount
=(0.75/15) * 100%
= 5%
Thus, owner needs to discount 5% to discount his pizza from $15 to $14.25.
A movie theater offers three types of tickets: child, student, and adult. Ticket sales for two movies are shown in the table.
Ticket Type
Child Student Adult Total
Movie Title The Ransom 12 38 70 100
Space Force 34 42 56 132
Total 46 80 126 232
What proportion of tickets sold were adult tickets?
0.4310
0.5431
0.5556
0.7000
Answer:
(b) 0.5431
Step-by-step explanation:
The proportion of adult tickets sold is the ratio of the total number of adult tickets sold to the total number of tickets sold. Those totals are found on the bottom line of the table.
__
proportion = (adult tickets)/(total tickets) = 126/232 ≈ 0.5431
Approximately 0.5431 of the tickets sold were adult tickets.
Answer:
B) 0.5431
Step-by-step explanation:
edge 2023
Mark owns a personal training business. He makes a total of $500 for every 3 clients he acquires. If Mark is saving to purchase $2.500 in new equipment, then how many clients will he need?
calculate the mean deviation of the following numbers 8,5,7,10,3,4,31,12.
Answer:
5.75.
Step-by-step explanation:
The mean = (8+5+7+10+3+4+31+12)/ 8
= 80/8
= 10.
Now we calculate the difference of each value from the mean We take the absolute ( positive) differences
10 - 8 = 2
10 - 5 = 5
10 - 7 = 3
10 - 10 = 0
10-3 = 7
10 = 4 = 6
10 - 31 = 21
10 - 12 = 2
Sum of the differences = 46
and the mean deviation is 46/8 = 5.75.
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A pharmacist mixed 10 grams of a 15% medicine solution with 25 grams of a 10% medicine solution.
How many grams is the mixture that the pharmacist has now?
Answer:
35 grams of 11.43% solutionStep-by-step explanation:
The end solution has same volume as initial volumes of mixture.
10 + 25 = 35 gThe concentration of solution is calculated as below
10*0.15 + 25*0.1 = 4 g4 / 35*100% = 11.43% (rounded)Answer:
35 grams
Step-by-step explanation:
25+10=30 grams of the mixture
How many square feet of outdoor carpet will we need for this hole?
The number of square feet needed to cover the hole is 44ft²
How many square feet of outdoor carpet will we need for this hole?To find this, we need to find the area of the green region and subtract the little square that it has inside.
Remember that for a rectangle, the area is the product between the dimensions, then the area of the green region is:
A = 12ft*4ft = 48ft²
The little square has an area:
a = 2ft*2ft = 4ft²
Then the area needed is:
area = 48ft² - 4ft² = 44ft²
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Find the area of the triangle.
18 in.
25 in.
Answer:
225in
Step-by-step explanation:
The cost for new carpet is $8.55 per square yard, plus an installation fee. If 700 square yards of carpet cost $6164, write and solve a linear equation to find the cost of 1000 square yards.
Answer:
1. 6164 × 10 = 61640
2. 61640 ÷ 7 = 8845.71
Answer = $8845.71