Answers
Answer:
x = π/4, 5π/4
Step-by-step explanation:
sin(x) - 2 = cos(x) - 2
sin(x) = cos(x)
x = π/4, 5π/4
Related Questions
which function is best represented by this graph
Answers
Answer:
Step-by-step explanation:
e
6. A car traveled 30 kilometers for 2 hours, what is its speed? A. 15.0km/h B. 28.0km/h C. 30.0km/h C. 60.Okm/h
answer :b
Answers
Answer:
A. 15.0km/h
Step-by-step explanation:
30km/2hr = 15km/hr
Answer:
A. 15.0km/H hope this helps
i am confused on finding the answer i have tried a few times and i do not understand
Answers
Answer:
Volume = 7.912
Step-by-step explanation:
V = πr²h
V = 3.14 × 3/4 × 3/4 × 6 3/4 ( π = 22/7 or 3.14 )
V = 3.14 × 9/16 ×18/4
V = 3.14 × 0.56 × 4.5
V = 7.912
Which equation describes a rational function with x-intercepts at –4 and 2, a vertical asymptote at x = 1 and x = –1, and a horizontal asymptote at y = –3?
Answers
Answer:
d on edge
Step-by-step explanation:
-3(x+4)(x-2)/x^2-1`
The equation of the rational function is: \(f(x) = \frac{-3(x + 4)(x -2)}{x^2-1}\)
The x-intercepts of the rational function are given as: -4 and 2.
This means that, the zeroes of the function are (x + 4) and (x -2)
Multiply the zeroes of the function
\(f(x) = (x + 4)(x -2)\)
The vertical asymptotes of the rational function are given as: 1 and -1.
This means that, the denominator is the product of (x + 1) and (x -1)
So, we have:
\(f(x) = \frac{(x + 4)(x -2)}{(x + 1)(x-1)}\)
Express the denominator as the difference of two squares
\(f(x) = \frac{(x + 4)(x -2)}{x^2-1}\)
Lastly, the horizontal asymptote is given as y = -3.
So, the actual function is:
\(f(x) = y \times \frac{(x + 4)(x -2)}{x^2-1}\)
Substitute -3 for x
\(f(x) = -3 \times \frac{(x + 4)(x -2)}{x^2-1}\)
This gives
\(f(x) = \frac{-3(x + 4)(x -2)}{x^2-1}\)
Hence, the equation of the rational function is: \(f(x) = \frac{-3(x + 4)(x -2)}{x^2-1}\)
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Peter had 208 Canadian stamps and 186 Mexican stamps for sale. The stamps were mixed up and sold in packets of 6. How many packets of stamps were there? How many stamps were left over?
Answers
Answer:
65 packets and 4 stamps
Step-by-step explanation:
The first thing we see is that the stamps are mixed... which means they must be added.
208 + 186 = 394 stamps total
Now we see that each packet has 6 stamps. So we divide the number of stamps in total by 6.
394/6= 65.66667
Now we see from that number that the stamps can't quite make 66 packets, so there are 65 packets.
Now we find the number of stamps left over by multiplying the number of packets by 6.
65 x 6= 390
Now we take the total number of stamps minus the number of stamps in packets.
394 - 390 = 4
Therefore, there are four stamps left over.
Hope this helps!
A Random survey of 25 students in each grade level of school was conducted to determine whether the students preferred to have less time between classes. The results are shown in the table
Answers
Answer:it is b
Step-by-step explanation:
Because I know
Which two of the following are not characteristics of surveys?
A. The study involves one or more treatment groups and a control
group.
B. The study compares two or more treatments.
C. Statistical analysis is applied to the results of the study.
D. Data are gathered during the course of the study.
Answers
Answer: A and B are not characteristics of surveys.
Step-by-step explanation: A survey is a type of research method that involves collecting data from a sample of individuals or groups, usually by asking them questions or observing their behavior. Surveys can be used to describe, compare, or explain various aspects of a population or phenomenon of interest.
Some of the common characteristics of surveys are:
They use a predefined set of questions or items that are standardized and consistent for all respondents or participants.They use a sampling technique to select a representative subset of the population or target group that is relevant to the research question or objective.They use a mode of data collection that is suitable for the type and format of the questions or items, such as face-to-face interviews, telephone interviews, mail questionnaires, online surveys, etc.They use statistical analysis to summarize, describe, compare, or infer the results of the data collected from the sample to the population or target group.Some of the types of research methods that involve one or more treatment groups and a control group, and that compare two or more treatments, are:
Experiments: Experiments are research methods that involve manipulating one or more independent variables (the treatments) and measuring their effects on one or more dependent variables (the outcomes). Experiments aim to establish causal relationships between variables by controlling for other factors that may influence the results. Experiments usually involve random assignment of participants to different treatment groups and a control group that receives no treatment or a placebo.Quasi-experiments: Quasi-experiments are research methods that resemble experiments but lack some of the features of true experiments, such as random assignment or manipulation of variables. Quasi-experiments aim to estimate causal relationships between variables by using natural or existing variations in the independent variables (the treatments) and comparing their effects on the dependent variables (the outcomes). Quasi-experiments usually involve non-equivalent groups that differ in their exposure to the treatments or in other characteristics that may affect the results.Observational Studies: Observational studies are research methods that involve observing and measuring existing phenomena without manipulating any variables. Observational studies aim to describe, compare, or correlate variables by using natural or existing data sources. Observational studies usually involve different groups that are selected based on their exposure to the variables of interest or based on other criteria that may affect the results.Hope this helps, and have a great day! =)
Jamie left a 15% tip for a $49 meal. How much did Jamie pay for the meal and the tip together?
Answers
Answer:
$56.35
Step-by-step explanation:
Ok so heres how I got through this in school. Take the 49 and divide it by the 100 meaning 100 percent. You take the 0.49 times the 15 percent to get 7.35. Lastly, you add the 49 dollars and the 7.35 together to get 56.35.
The circumference of a circle is 15pi centimeters what is the area of the circle in terms of pi?
Answers
\(\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=15\pi \end{cases}\implies 15\pi =2\pi r\implies \cfrac{15\pi }{2\pi }=r\implies \cfrac{15}{2}=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2 \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{15}{2} \end{cases}\implies A=\pi \left( \cfrac{15}{2} \right)^2\implies A=\cfrac{225\pi }{4}\implies A=56.25\pi\)
t> -5
can someone show step by step how to solve this equation?
Answers
Answer: The equation cannot be simplified any further.
Explanation: The variable(t) is greater than any number than negative five.
Plz mark brainliest:)
Create a two column proof for the two triangles to the right.
Highlight or circle each part of the triangles you use in the proof on the image.
Answers
Two right triangles are said to be congruent if their corresponding sides and angles have the same length. In the example in fig. 1 below, ABC equals FHG since A = F, C = G, and B = H.
How are two right triangles proven?If two right triangles have the same size and shape, they are said to be congruent. To put it another way, two right triangles are said to be congruent if their corresponding sides and angles have the same length. In the example in fig. 1 below, ABC equals FHG since A = F, C = G, and B = H.A triangle is a right triangle if the square of the length of the longest side equals the sum of the squares of the other two sides. In other words, if c2=a2+b2 in ABC, then C is a right triangle with FHG as the right angle.To learn more about congruent refer to:
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Prove the Converse of the Pythagorean Theorem
In this activity, you will prove and apply the converse of the Pythagorean theorem. Recall that the
converse states that if the square of the length of the longest side of a triangle is equal to the sum of
the squares of the other two sides, then the triangle is a right triangle.
Open the GeoGebra activity to complete each step below. For help, watch these short videos about
using GeoGebra to measure and create points, lines, and anglese.
Question 1
Part A
Draw AABC with vertices at A(1,6), B(1, 1) and C(5,1). In this triangle, AB²+ BC² = AC².
Next, use the GeoGebra tools to draw ADEF such that AB = DE, m/E
Paste a picture of your drawing in the answer box.
= 90°, and EF
BC.
B I U X² X2 15px
AVA
E E g = = 三 四 V 田
=
Answers
The based on this example, we can see that the converse of the Pythagorean theorem does not hold for this particular triangle.
To prove the converse of the Pythagorean theorem, we need to show that if the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.
In the given triangle AABC, with vertices at A(1,6), B(1,1), and C(5,1), we can calculate the lengths of the sides using the distance formula or Pythagorean theorem.
AB = sqrt((1-1)^2 + (6-1)^2) = sqrt(25) = 5
BC = sqrt((5-1)^2 + (1-1)^2) = sqrt(16) = 4
AC = sqrt((5-1)^2 + (6-1)^2) = sqrt(40) = 2sqrt(10)
Now, let's check if AB^2 + BC^2 = AC^2:
AB^2 + BC^2 = 5^2 + 4^2 = 25 + 16 = 41
AC^2 = (2sqrt(10))^2 = 4(10) = 40
Since AB^2 + BC^2 is not equal to AC^2, the given triangle AABC does not satisfy the condition for the converse of the Pythagorean theorem.
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2+2jjjjjjkkkkkkuyuoo
Answers
Answer:
4
Step-by-step explanation:
1+1+1+1=2+2=4
THe blanks for 1 Pt 2 are both , Mean, Median, mode, standard devidation, range.
Answers
The Mean = 9.778
The Median = 9
The Mode = 5 and 10
The Standard deviation = 6.21
The Range = 22
What are the Mean, Median, Mode, Standard Deviation and Range?Mean:
To get, we will sum up all the values and divide by the total number of values.
Mean - Ef/n
Mean = (4 + 5 + 5 + 8 + 9 + 10 + 10 + 11 + 26) / 9
Mean = 88 / 9
Mean = 9.778
Median:
This means middle value of a dataset when arranged in ascending order. If there are two middle values, median is average of the two.
Arranging dataset in ascending order: 4, 5, 5, 8, 9, 10, 10, 11, 26. The Median is 9.
Mode:
The mode is the value that occur(s) most frequently in the dataset. In this dataset, the mode is 5 and 10 as both occur twice.
Standard Deviation:
Variance = [\((4 - 9.778)^2 + (5 - 9.778)^2 + (5 - 9.778)^2 + (8 - 9.778)^2 + (9 - 9.778)^2 + (10 - 9.778)^2 + (10 - 9.778)^2 + (11 - 9.778)^2 + (26 - 9.778)^2] / 9\)
Variance = 38.617284
Variance = 38.62
Standard Deviation = √Variance
Standard Deviation = √38.62
Standard Deviation = 6.21449917532
Standard Deviation = 6.21
Range:
The range is difference between maximum and minimum values
Range = 26 - 4
Range = 22
b. The outline for the data set is as follows:
Minimum value: 4First quartile (Q1): 5Median: 9Third quartile (Q3): 10Maximum value: 26Read more about centre of measures
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Please help me with these 2 questions, I don’t really need explanations I just need straight forward answers ! The questions are linked below. 50 points
Answers
Answer:
1. The value of 5 is fifty thousand
2. The value of 6 is six thousand
Step-by-step explanation:
1. 8.156 million - 8,156,000
2. 6,521
^ 6000
Raoul has 72 wristbands and 96 movie passes to put in gift bags. The greatest common factor for the number of wristbands and the number of movie passes is qual to the number of gift bags. Raoul needs to make. Then find how many wristbands and how many movie passes raoul can put in each gift bag if he evenly distributes the items.
Please help I am stuck I am doing work nonstop on all weekends if I don’t get this right and done please help and will give brainlesst for the correct answer
Answers
Answer:
Step-by-step explanation:
I do know give me brainliest first
Answer:
24 gift bags
Step-by-step explanation:
Well first the question says to find the GCF and you find that by finding prime factors in each number. Then you would want to subtract 96-72 and get the answer of 24 so you would be able to make 24 gift bags. Hope this helps!!
May I have heart, 5 star, and brainliest please?
Solve this: -4a = -52
Answers
Answer:
Hello! answer: 13
Step-by-step explanation:
-4 × 13 = 52 therefore a = 13 HOPE THAT HELPS!
Answer:
a = 13
Step-by-step explanation:
u need to solve for a so get it on one side by itself and do that by dividing both sides by -4
-4a= 52
−4a÷ -4= a
52 ÷ -4 = -13
a= 13
Ethan decides to type up some documents while waiting the meeting to start.He can type 2 pages every 1/8 hour.If the meeting started 3/4 hour later than the scheduled time,how many pages can he type before the meeting starts?
Answers
Answer: 4 pages
Step-by-step explanation:
To solve this problem, we need to use the formula:
Rate = Output/Time
Let's use "p" to represent the number of pages Ethan can type and "t" to represent the time he has before the meeting starts.
Rate = 2 pages/(1/8 hour) = 16 pages/hour
Since the meeting starts 3/4 hour later than the scheduled time, Ethan has t = 1 - 3/4 = 1/4 hour to type pages before the meeting starts.
Output = Rate * Timep = (16 pages/hour) * (1/4 hour) = 4 pages
Therefore, Ethan can type 4 pages before the meeting starts.
Answer: 4 pages
Mike wants to buy a bicycle, but he does not have enough money in his checking account to pay for one. Which of the following choices is an option
for Mike?
A Use his credit card to purchase the bicycle now.
B Withdraw the needed cash from his checking account to purchase the bicycle now.
C Use a check to purchase the bicycle now.
D Use his debit card to purchase the bicycle now.
Answers
The statement that can serve as the best option for Mike would be to use his credit card to purchase the bicycle now. That is option A.
What is a credit card?A credit card is defined as the type of card that is processed and given to an individual by their banks which gives the individual the liberty to purchase goods on credit.
Since Mike wants to buy a bicycle but has no money in his checking account, he can make use of his credit card which gives him the free liberty to buy goods on credit.
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The best option for mike in this case of borrowing money is; A: Use his credit card to purchase the bicycle now.
How to identify the importance of a credit card?A credit card is defined as a type of credit facility, that is provided by banks which permits customers to borrow funds within a pre-approved credit limit. This in turn enables customers to make purchase transactions on goods and services.
Now, we are told that Mike wants to buy a bicycle, but he does not have enough money in his checking account to pay for one.
Looking at the option of a credit card above, it will be the best option for mike since he doesn't possess the total money in his account currently.
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Bryan invests $6500 in two different accounts. The first account paid 11 %, the second account paid 7 % in interest. At the end of the first year he had earned $519 in interest. How much was in each account?
$ at 11 %
$ at 7 %
Answers
Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).
Let's assume that Bryan invested an amount of x dollars in the first account, which earns 11% interest, and (6500 - x) dollars in the second account, which earns 7% interest.
The interest earned from the first account can be calculated as 0.11x, and the interest earned from the second account can be calculated as 0.07(6500 - x).
According to the problem, the total interest earned after one year is $519. So we can set up the equation:
0.11x + 0.07(6500 - x) = 519
Simplifying the equation:
0.11x + 455 - 0.07x = 519
0.04x + 455 = 519
0.04x = 64
x = 64 / 0.04
x = 1600
Therefore, Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).
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How do you do this question?
Answers
Step-by-step explanation:
This is a geometric series, where the first term is -5 and the common ratio is -⅔.
aₙ = -5 (-⅔)ⁿ⁻¹
Which property is shown by (6+7)+3=6+(7+3)
Answers
Answer:
Associative property is shown by those numbers
4. (a) Find the minimum value of the function below and the values of for which they
occur.
f(x) = 3x2 - 5x - 12
Answers
Answer: the answer is 5/6
Explanation:
Two vacationing families leave New York at the same time. They take 20 and 6 days, respectively, to reach their destination and return to New York. The vacationing families each take continuous trips to and from New York. How many days will pass before the two vacationing families leave New York on the same day again?
Answers
Answer:
Step-by-step explanation: evagline has 3/5 of box of nuts.she uses it to fill 6 bowls
For the graph, name the parent function and write an equation of the graph.
Answers
This is a transformation of the parent square root function, and it can be written as:
f(x) = √(-x + 4) - 2
Which is the parent function graphed?
It is ratter easy to identify the shape of the general square root function:
f(x) = √x
The only difference is that now it opens to the left, and it starts at the point (4, -2)
Then:
The sign of the x must be negative.
And with the known vertex we can write the equation:
f(x) = √(-x + 4) - 2
That is the graphed function.
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Aircraft A has 105 more seats than aircraft B. If their total number of seats is 519, find the number of seats for each aircraft.
Aircraft A has how many seats?
Answers
Aircraft A has 312 seats.
Let's assume that Aircraft B has x seats.
According to the given information, Aircraft A has 105 more seats than Aircraft B. So, the number of seats in Aircraft A can be expressed as x + 105.
The total number of seats in both aircraft is 519, which can be represented by the equation:
x + (x + 105) = 519
Simplifying this equation, we have:
2x + 105 = 519
Subtracting 105 from both sides, we get:
2x = 414
Dividing both sides by 2, we find:
x = 207
Therefore, Aircraft B has 207 seats.
To find the number of seats in Aircraft A, we substitute the value of x back into the expression x + 105:
Aircraft A = 207 + 105 = 312
Hence, Aircraft A has 312 seats.
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The diameter of the circle above is 20 cm. What is the circumference of the circle? (Use = 3.14.)
Answers
Step-by-step explanation:
diameter=20/2,radius=10
circumference of circle=2×pi×radius
circumference of circle=2×3.14×10
circumference of circle=62.8
Julie went to the 10% off store and bought 3 candy bars for $1.30 each, a loaf of bread for $2.90, and 2 cases of Dr. Pepper for $6.50. How much will she save with the 10% discount?
Answers
Negative 3 (8 minus 5) squared minus (negative 7) = negative 3 (3) squared minus (negative 7) = negative 3 (9) minus (negative 7) = 27 minus (negative 7) = 34.
What was Huda’s error?
Huda evaluated (3) squared incorrectly.
Huda found the product of –3 and 9 as positive.
Huda subtracted –7 from 27 incorrectly.
Huda did not follow the order of operations.
Answers
Huda's error in evaluating (3) squared incorrectly led to the incorrect final result.
The correct answer should be -20, not 34.
Huda's error was that she evaluated (3) squared incorrectly.
Instead of calculating 3 squared as 9, she mistakenly considered it as 3. This error led to incorrect subsequent calculations and the final result of 34, which is not the correct answer.
To evaluate the expression correctly, let's go through the steps:
Negative 3 (8 minus 5) squared minus (negative 7) \(= -3(3)^2 - (-7)\)
First, we simplify the expression within the parentheses:
\(-3(3)^2 - (-7) = -3(9) - (-7)\)
Next, we evaluate the exponent:
-3(9) - (-7) = -3(9) + 7
Now, we perform the multiplication and addition/subtraction:
-3(9) + 7 = -27 + 7 = -20
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27 points !!
Alexis has the following grades in his math class:
Homework grades: 76, 82, 85
Quiz grades: 74, 80, 80
Test Grades: 60, 68
If the teacher weights homework at 10%, Quizzes at 20%, Tests at 60%, what is her current class average? Please be careful with this one the categories don’t sum to 100% because she hasn’t taken her final exam yet.
Question 5 options:
a)
76
b)
72
c)
81
d)
69
Answers
Answer:
I believe the answer is 69