Answer:
(13, 5 )
Step-by-step explanation:
The translation
(x, y ) → (x + 3, y - 4)
Means add 3 to the x- coordinate and subtract 4 from the y- coordinate, so
(10, 9 ) → (10 + 3, 9 - 4 ) → (13, 5 )
All of the following ratios are equivalent except
4
8 to 12
2:3
09
Answer:
The answer is 2:3 as the order is different. Simplified the first option is 2:3, the second one: 2:3, the third one 3:2 and the fourth one 2:3
5^-3 = In exponential notation
Answer:
0.008 or 1/125
Step-by-step explanation:
Answer:
[tex]5^{-3}[/tex] in scientific notation would be [tex]8*10^{-3}[/tex].
Step-by-step explanation:
An integer to the power of a negative number is equivalent to one over that base to the power of the positive exponent. In this case, [tex]5^{-3}[/tex] would be [tex]\frac{1}{5^{3}}[/tex] or [tex]\frac{1}{125}[/tex], which equals 0.008. Scientific notation is a way to express a number in the form of [tex]a * 10^{b}[/tex] where [tex]a[/tex] is greater than or equal to 1 but less than 10. We know that 8 would be the value of [tex]a[/tex], so all you need to know is the value of [tex]b[/tex]. Because [tex]10^{-3}[/tex] is equivalent to 0.001, and multiplied by 8 is equivalent to 0.008, that means [tex]5^{-3}[/tex] in scientific notation would be [tex]8*10^{-3}[/tex].
3. Based on the graph of the trigonometric function,
what is the period?
4. Based on the graph of the trigonometric function,
what is the amplitude?
Answer:
4. ☐ A [tex]\displaystyle \frac{1}{3}[/tex]
☐ B [tex]\displaystyle 2[/tex]
☑ C [tex]\displaystyle 3[/tex]
3. ☐ A [tex]\displaystyle \frac{\pi}{3}[/tex]
☐ B [tex]\displaystyle \pi[/tex]
☑ C [tex]\displaystyle 6\pi[/tex]
Step-by-step explanation:
[tex]\displaystyle y = -2sin\:(\frac{1}{3}x + \frac{\pi}{2}) \\ y = -2cos\:\frac{1}{3}x[/tex]
[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-1\frac{1}{2}\pi} \hookrightarrow \frac{-\frac{\pi}{2}}{\frac{1}{3}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{6\pi} \hookrightarrow \frac{2}{\frac{1}{3}}\pi \\ Amplitude \hookrightarrow 2[/tex]
OR
[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{6\pi} \hookrightarrow \frac{2}{\frac{1}{3}}\pi \\ Amplitude \hookrightarrow 2[/tex]
The above information can help you interpret the graph much better. First off, JUST IN CASE you needed to know the trigonometric equation(s) of this graph, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = -2sin\:\frac{1}{3}x,[/tex] in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle 1\frac{1}{2}\pi\:unit[/tex] to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACK [tex]\displaystyle 1\frac{1}{2}\pi\:unit,[/tex] which means the C-term will be negative, and perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-1\frac{1}{2}\pi} = \frac{-\frac{\pi}{2}}{\frac{1}{3}}.[/tex] So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = -2sin\:(\frac{1}{3}x + \frac{\pi}{2}).[/tex] Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits [tex]\displaystyle [0, -2],[/tex] from there to [tex]\displaystyle [-6\pi, -2],[/tex] they are obviously [tex]\displaystyle 6\pi\:units[/tex] apart, telling you that the period of the graph is [tex]\displaystyle 6\pi.[/tex] Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex] in which each crest is extended two units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow. Now, in this case, you were probably wondering why the negative was inserted in front of the amplitude in the equation(s). Well, here is why:
[tex]\displaystyle y = sin\:x \\ y = cos\:x[/tex]
Knowing your parent functions, sine commenses upright from the origin, while cosine commenses one unit above the origin [tex]\displaystyle [0, 1].[/tex] This should tell you that inserting a negative in front of the amplitude will REFLECT each crest over the midline. Well, there you have it.
I am delighted to assist you at any time.
William bought snacks for his team's practice. He bought a bag of oranges for $3.02 and a 20-pack of juice bottles. The total cost before tax was $22.02. Write and solve an equation which can be used to determine jj, how much each bottle of juice costs?
Answer:
.95
Step-by-step explanation:
JJ = (22.02 - 3.02) / 20
(22.02 - 3.02) / 20
19 / 20= $0.95
which graph represents the solution set of the compound inequality
Step-by-step explanation:
take into 2 sections
-5<a-4 and a-4<2
-1<a and a<6
therefore it should be the 2nd one
how to write a book report plz help???
Answer:
below
Step-by-step explanation:
In short, a book report is an essay that contains what you read and learned from reading a book. For example, you would write a book report in the following sequence:
What ocurred in the beginning, middle, and end.What you learned from reading it.What you enjoyed about it.Best of Luck!
5
Select the correct answer from each drop-down menu.
Amélie runs a bakery. She wants to find out whether her cake sales are affected by the weather conditions. She recorded the daily
temperature and the number of cakes she sold on different days of the year. The table shows the data she gathered.
Daily Temperature (°F) Cakes Sold
42
39
45
52
48
31
54
61
59
72
62
35
64
61
65
34
67
58
75
45
84
24
The correlation coefficient is close to
Based on this information, we can conclude that Amélie's cake sales are
affected by the daily temperature,
Reset
Next
The correct answer is : -0.7
A correlation coefficient is a statistical indicator of how well changes in one variable's value predict changes in another. There is a common tendency to assume that a change in one variable must be the result of a change in the other when the fluctuation of one variable predicts a similar fluctuation in another variable with high accuracy.
Correlation does not necessarily indicate cause, though. For instance, there might be an unidentified factor that has a similar impact on both variables. When it comes to consumer data patterns, being able to distinguish between correlation and causation can be useful and provide insightful information. In the context of marketing, the beer and diapers example is frequently used to illustrate this.
The correlation coefficient is close to: -0.7 (negative because there is an inverse relationship)
Based on this information, we can conclude that Amélie's cake sales are affected by the daily temperature.
Therefore, the final answer is : -0.7.
To know more about correlation visit : https://brainly.com/question/15690353
#SPJ1
1. Choose the word that is defined as: Symbols used to represent
unspecified numbers.
Factor
Term
Variable
Power
O Algebraic Expression
Answer:
I think the first one is the best answer but you might be expected to say variable. I cannot choose one answer. It all depends what you have been told or what your teacher has said about it.
Myself, I would pick A.
Step-by-step explanation:
Symbols (like letters) that are used to represent numbers which are unspecified.
The problem is that variable is also a possible answer. The problem is that a variable is usually a letter. Symbols do are not used for variables in anything but counting systems.
When you look up the word variable it is defined as a symbol. But that is too confining.
The pie chart represents the results of an online poll question, Should cell phones be banned in schools?. A total of 1840 girls were asked the question, with 379 answering yes and 1461 girls answering no. The larger section of the pie is labeled as no, representing the count of 1461 girls who answered as no and the smaller section is labeled as yes, representing the count of 379 girls who answered as yes. What percent of girls who voted in this poll think that cell phones should be banned from schools? Give your answer as a whole number.
The temperature at 12:00 p.m. was 8°C. At 7:00 p.m., the temperature was -6°C. What was the change in temperature (in degrees Celsius)?
�� 6-degree increase
�� 14-degree increase
�� 6-degree decrease
�� 14-degree decrease
Answer: 14-degree decrease
Step-by-step explanation:
because it is getting colder and we know this because anytime temperature goes from positive to negative it becomes mad cold.
Anyways subtracting 14 from our initial temp at 8 degrees celsius brings us to a brisk -6 celsius
Can someone please helpp
Answer:
semoga jawapan ini dapat membantu
Alyssa bought 2 packs of football cards for $4.52 each, and a deck of Digimon Cards
for $11.47 with two $20 bills. Alyssa found $7.72 in her pocket. How much change
did Alyssa get?
Hello :D
2 x $4.52 = $9.04
$9.04 + $11.47 = $20.51
2 x $20 = $40.00
$40.00 - $20.51 = $19.49
With change:
$40.00 + $7.72 = $47.72
$47.72 - $20.51 = $27.21
1/3x+3/2=2x. solve for x
first correct answer gets brainliest
how many sides has a cuboid
Answer:
[tex]6faces \\ thank \: you[/tex]
Sequence A counts down from 46 by 7: 46, 39, 32 and so on. Sequence B counts down from one number (not 46) by another number (not 7). In sequence B, the second number is 35, the sixth number is 23, and the sequence ends with the first single-digit number that it comes to. how many numbers are in the sequence B
Answer:
Step-by-step explanation:
Sequence is geometric.
[tex]\\u_2=35=u_1+r\\u_6=23=u_1+5*r\\\\u_6-u_2=23-35=-12=u_1+5r-(u_1+r)=4r\\r=-3\\u_1=u_2-r=35-(-3)=38\\\\\text{Let say n the number or numbers in the sequence}\\\\u_n=38+(n-1)*(-3) <10\\38-3n+3 < 10\\41-10 <3n\\n > \frac{31}{3} \\n > 10\\\\u_n=38+(n-1)*(-3) > 0\\\\38-3n+3 >0\\41 >3n\\\\n < \frac{41}{3} \\n< 13.66666\\n < 14\\Possible\ value\ of \ n:\ 11;12;13\\[/tex]
Last term is 8; 5; 2
Numbers of sequence B= 11 or 12 or 13
Choose the inequality that represents the following graph.
H 4
+
-4
+
2.
+
4
-5
-3
-2
-1
0
1
3
5
Choose 1 answer:
2 <-3
3 <-3
С
> -3
D
a 2-3
Answer:
B
Step-by-step explanation:
The solid circle at - 3 indicates that x can be equal to - 3
The arrow pointing left indicates the values of x are less than - 3
Then
x ≤ - 3 → B
The variable y is dependent on the variable 2. The following table represents points on the function f(s) which
represents the two variables.
y
-8-4
-4-2
0 0
4 2
8 4
2 4
Which of the following equations represents the function f(x)?
O f() =
Of(0) = -22
O f() =
O f() = 2x
search
o fim
a
f w bi
If a1=1. And r=1/5 find a8
Answer:
a₈ = [tex]\frac{1}{78125}[/tex]
Step-by-step explanation:
The nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]
Here a₁ = 1 and r = [tex]\frac{1}{5}[/tex] , then
a₈ = 1 × [tex](\frac{1}{5}) ^{7}[/tex] = 1 × [tex]\frac{1}{78125}[/tex] = [tex]\frac{1}{78125}[/tex]
Which of the following numbers is irrational?
OA) -7.8 repeating
OB) 25
OC) 25.8125
OD 0.025
Answer:
OA) -7.8 repeating... is irrational number
Step-by-step explanation:
I. Repeating Decimal is on of irrational number
II. Pie.value is also irrational number, but in computer science, we can find pie value with the quantum computer.
- j/18=-8 what is j?
Answer:
j = 144
Step-by-step explanation:
-j / 18 = -8
[multiply both sides by 18 to cancel out the denominator of 18
One third of a herd of animals are grazing in the forest and two fifths of the remaining are
resting nearby a pond. The remaining six are drinking water from the pond. Find the number of
animals in the herd.
Please help fast someone
Answer:
100 but I am not sure I guess it's 100
Answer:
15
Step-by-step explanation:if you make the donminater the same on all three equations you get 15 and 6 is drinking water so minus 6 that 9 2/5 are resting by a nearby pond so minus 6 and 1/3 i grazing the forest so minus 3 and you get zero so the answer is 15
the Selling price of an articles is Rs 6000 and 13% of vATis lived on it How much did the costumer pay for it.
Answer:
Rs.6780
Step-by-step explanation:
VAT=6000*13/100
=Rs.780
Price=6000+780
=6780
Which expression has a value of 3?
A 18 - 4 x 3 - 2
B 1 + 1 X 2
C 6 - 2 x 2
D. 7 + 4 ÷ 4
Answer:
option(B)
Step-by-step explanation:
1 + 1 × 2
using BODMAS, Multiplication comes first then Addition
=> 1 + (1 × 2)
=> 1 + 2
=> 3
Name a number that is an integer, but not whole number.
Answer:
-1
Step-by-step explanation:
All negative integers are not whole numbers
In a mathematics class, half of the students scored 40 on an achievement test. With the exception of a few students who scored 80, the remaining students scored 58. Which of the following statements is true about the distribution of scores?
A. The mean is greater than the median.
B. The mean and the median are the same.
C. The mean is less than the median.
D. The mean is less than the mode.
Answer:
C. the mean is less than the median.
Step-by-step explanation:
hope this helps
Harry is painting a wall in his house that is 20 by 18 feet. He has two windows that he does not want to paint. What is the total area he will need to paint?
340
200
289.73
Step-by-step explanation:
total area is 18 × 20 = 360
but by excluding window it will be less than 360
here U have not given lenght of windows so i can not find answer
Someone help please.
N = 4.2m
Sorry for my bad writing but this is the explanation and answer.
Help w Geometry !!!!
Answer:
[tex]x=21[/tex]
Step-by-step explanation:
Hi there!
We're given that angle POR measures 90 degrees. Ray OQ bisects it, meaning it splits it into two equal angles.
90 ÷ 2 = 45.
This means that each of those individual angles are 45 degrees. This means:
[tex]2x+3=45[/tex]
Solve:
[tex]2x=42\\x=21[/tex]
Therefore, x=21.
I hope this helps!
AC = 3x-1 and AD = 12-x
X=
CD =
Answer:
54+456/79*78=5689
Step-by-step explanation:
maaf kalo salah
[tex]45 \times 456[/tex]
ILL MARK BRAINIEST IF U DO THIS RIGHT!!!
Answer:
Company C
Step-by-step explanation:
$60+4($20)=$140, lowest total price