At A nursey, the ratio of red flowers to yellow flowers is 5:4. If there are 28 yellow flowers, how many red flowers are there?
Answers
Answer:
35 red flowers
Step-by-step explanation:
4x7=28 yellow flowers
5x7= 35 red flowers
Related Questions
A pendulum on a rigid rod oscillates according to the equation
∂2θ/ ∂t2 + sin θ = 0,
where θ is the angle of the pendulum from the vertical.
1. Show that θ = 0 (the pendulum hanging straight down) and θ = π (the pendulum balanced vertically up) are possible equilibrium solutions of the equation.
2. By linearisation show that the solution θ = π is unstable, while the solution θ = 0 is stable; at least, show that it is not unstable.
Answers
1. θ = 0 and θ = π are possible equilibrium solutions of the pendulum equation because they satisfy the equation ∂²θ/∂t² + sin θ = 0.
Can the pendulum equation have equilibrium solutions at θ = 0 and θ = π?Yes, the pendulum equation can have equilibrium solutions at θ = 0 and θ = π because they satisfy the equation ∂²θ/∂t² + sin θ = 0.
To show that θ = 0 and θ = π are possible equilibrium solutions, we substitute these values into the pendulum equation ∂²θ/∂t² + sin θ = 0 and verify that it holds true.
For θ = 0, we have ∂²(0)/∂t² + sin(0) = 0 + 0 = 0, which satisfies the equation.
Similarly, for θ = π, we have ∂²(π)/∂t² + sin(π) = 0 + 0 = 0, which also satisfies the equation.
Therefore, both θ = 0 and θ = π are possible equilibrium solutions of the pendulum equation.
2. By linearization, we can analyze the stability of the equilibrium solutions. The solution θ = π is unstable, while the solution θ = 0 is stable or at least not unstable.
Is the solution θ = π unstable and the solution θ = 0 stable or not unstable?
Yes, by linearization, the solution θ = π is unstable, while the solution θ = 0 is stable or at least not unstable.
Explanation:
To analyze the stability of the equilibrium solutions, we linearize the pendulum equation around each solution and examine the behavior of the linearized system.
For the solution θ = π, we can linearize the equation by assuming small deviations from π, i.e., θ = π + ε, where ε is a small perturbation. Substituting this into the pendulum equation and neglecting higher-order terms, we obtain ∂²ε/∂t² + sin(π + ε) ≈ ∂²ε/∂t² - ε = 0. This linearized equation indicates that small perturbations from θ = π do not decay over time but remain constant, implying instability.
On the other hand, for the solution θ = 0, linearizing the equation around this solution yields ∂²θ/∂t² + sin(0 + ε) ≈ ∂²θ/∂t² + ε = 0. This linearized equation shows that small perturbations from θ = 0 lead to a restoring force that brings the pendulum back towards the equilibrium position, indicating stability or at least not instability.
Therefore, the solution θ = π is unstable, while the solution θ = 0 is stable or not unstable.
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Vectors v1, v2, v3 are linearly independent. Indicate sets of vectors that are equal to span {v1, v2, v3}
Span{v1, v2, v3, 0}
Span{v1, v1-v2, v3}
Span{v1, v2}
Answers
- Span{v1, v2, v3, 0} is equal to the span of {v1, v2, v3}.
- Span{v1, v1-v2, v3} is equal to the span of {v1, v2, v3}.
- Span{v1, v2} is NOT equal to the span of {v1, v2, v3}.
Let's analyze each of the sets of vectors to determine if they are equal to the span of {v1, v2, v3}:
1. Span{v1, v2, v3, 0}:
This set is equal to the span of {v1, v2, v3} because adding the zero vector (0) does not affect the linear independence or the span of the other vectors.
A span is the set of all possible linear combinations of the vectors, and since the zero vector does not change the linear combinations, the span remains the same.
2. Span{v1, v1-v2, v3}:
This set is also equal to the span of {v1, v2, v3}.
The reason is that the vector (v1-v2) can be written as a linear combination of v1 and v2: (v1-v2) = 1*v1 + (-1)*v2.
Since all vectors in this set can be expressed as linear combinations of {v1, v2, v3}, the span remains the same.
3. Span{v1, v2}:
This set is NOT equal to the span of {v1, v2, v3} because it is missing the vector v3.
Since v1, v2, and v3 are linearly independent, removing one of them (v3 in this case) means that the set cannot span the same space as {v1, v2, v3}.
It has a lower dimension, and therefore, the span is different.
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Porter is visiting India and would like to purchase some local spices. He finds some spices that cost 401.39 rupees. If the current exchange rate is 1 dollar:73.6500 rupees, how much do the spices cost in U.S. dollars?
$29,562.37
$18.35
$5.45
$0.05
Answers
The cost of spices in US dollars is $5.45
The cost of spices in Indian rupees = 401.39 rupees
The exchange rate is
1 dollar:73.6500 rupees
So we have to exchange the Indian rupees to the US dollars
The cost of spices in Indian rupees = 401.39 rupees
The cost of spices in US dollars = The cost of spices in Indian rupees / 73.6500
Substitute the values in the equation and fins the cost of spices in US dollars
The cost of spices in US dollars = 401.39 / 73.6500
Divide the numbers
= $5.45
Hence, the cost of spices in US dollars is $5.45
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Find the exact value of cos B in simplest radical form.
12
5
13
D
Answers
The exact value of cos B from the right triangle is cos(B) = 12/13
Finding the exact value of cos BFrom the question, we have the following parameters that can be used in our computation:
The right triangle
The exact value of cos B can be calculated as
cos(B) = BC/BD
Where
BC = 12 and BD = 13
So, we have
cos(B) = 12/13
Hence, the value is 12/13
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A drama club earns $1,040 from a production. A total of 64 adult tickets and 132 student tickets are sold. An adult ticket cost twice as much as a student ticket. Write a system of linear equations that represents the situation. What is the price of each ticket?
Answers
64(2s)+132s=1040
128s+132s=1040
260s=1040
/260. /260
Student ticket: $4
A=2s
A=2(4)
Adult ticket: $8
Carmen made 270$ for 18 hours of work.
At the same rate, how many hours would she have to work to make 165$?
Answers
Answer:
11 hours
Step-by-step explanation:
270/18=15 per hour
so 165/15 = 11
Answer:
11 hours
Step-by-step explanation:
270:18 simplified is 15:1
165/15 = 11
Hope this helps!
whitney buys 12 boxes of apples for £8 each there are 30 apples in each box she sells 90 apples for 35p each and the remaining apples for 5 at £1 Does she make a profit or a loss
Answers
She made a loss, a loss of £28.875
What is profit and loss?Profit is the difference between the selling price and the cost price.
Profit = selling price - cost price
loss is the difference between cost price and the selling price. This means that the when there is loss, the cost price is always higher than the selling price.
therefore loss= cost price- selling price
the cost price for the apple is 12×8= £96
She sells 90 for 35pence
total amount of 90= 90×35= 3150pence
240pence = £1
3150pence= 3150/240 pence= £13.125
the remaining apple = 12×30-90=360-90=270
she sold 5apples for £1
270/5= 54apples
£1×54= £54
total selling price = £54+£13.125 = £67.125
Therefore the loss she acquire = £(96-67.125)
= £28.875
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a293-1
Evaluate each equation
Answers
Answer:
.2 ÷ ( 3-4)2/(3-4)2/-1= -2Answer:
lol
Step-by-step explanation:
There is a 15 days tour of visiting 5 national parks. There is a
stay of two day at each park. So, 2 multiplied by 5 = 10 days are
spent at staying in those 5 parks. Now the remaining days left are
15
Answers
The final itinerary will depend on your preferences, the specific national parks you plan to visit, and the distances between them.
Let's clarify the itinerary for the 15-day tour visiting 5 national parks.
You have a 15-day tour, and you plan to visit 5 national parks. Each park will have a stay of two days.
When you multiply the number of parks (5) by the number of days spent in each park (2), you get a total of 10 days allocated for staying in those 5 parks.
However, there seems to be a discrepancy in the calculation because allocating 10 days for park stays leaves only 5 days remaining, not 15.
To resolve this issue and ensure a 15-day tour, we need to reevaluate the itinerary. Let's assume you want to spend two days at each park, which gives you a total of 10 days for park stays.
To fill the remaining 5 days, you have a few options:
1. Travel Days: You can allocate a day for travel between each park, which would require an additional 4 days. This accounts for the transportation time and allows you to enjoy the journey between the parks.
2. Additional Park Visits: If there are other nearby national parks or attractions in the area, you can extend your tour to include visits to these places. This would allow you to explore more diverse locations and make the most of your 15-day tour.
3. Rest and Relaxation: Alternatively, you might choose to use the extra days for relaxation or leisure activities. You can spend some time enjoying the amenities and attractions available near the parks, such as hiking trails, wildlife observation, or local cultural experiences.
Ultimately, the final itinerary will depend on your preferences, the specific national parks you plan to visit, and the distances between them. Make sure to consider travel times, desired activities, and any additional locations you wish to explore when creating your 15-day tour.
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The table displays the scores of students on a recent exam. Find the mean of the
scores to the nearest 10th.
Score Number of Students
80
4
85
6
90
9
95
6
100
8
Answers
I believe the answer is 48.3
Step-by-step explanation:
sorry if I'm wrong
Plot the points A(3,1), B(-2, 6), C(6, 4) on
the coordinate axes below. State the
coordinates of point D such that A, B, C,
and D would form a parallelogram.
(Plotting point D is optional.)
Answers
To form a parallelogram, the opposite sides of the quadrilateral should be parallel. Let's find the coordinates of point D such that AB is parallel to DC.
The slope of line AB = (yB - yA) / (xB - xA) = (6 - 1) / (-2 - 3) = -1
Therefore, the slope of line DC should also be -1.
Let's assume the x-coordinate of point D is xD.
The slope of line CD = (yD - yC) / (xD - xC)
Since the slope of CD is -1, we can write:
(yD - yC) / (xD - xC) = -1
yD - yC = -(xD - xC)
yD = -(xD - xC) + yC
Substituting the coordinates of points C and A, we get:
yD = -(xD - 6) + 4
yD = -xD + 10
Therefore, the coordinates of point D are (xD, -xD + 10).
To find the x-coordinate of point D, we can use the fact that BC is parallel to AD.
The slope of line BC = (yC - yB) / (xC - xB) = (4 - 6) / (6 + 2) = -1/4
Therefore, the slope of line AD should also be -1/4.
The slope of line AD = (yD - yA) / (xD - xA)
Substituting the coordinates of points A and D, we get:
(yD - 1) / (xD - 3) = -1/4
yD - 1 = -(xD - 3) / 4
yD = -(xD - 3) / 4 + 1
yD = -xD/4 + 5/4
Substituting the equation we found for yD in terms of xD, we get:
-xD/4 + 5/4 = -xD + 10
3/4 xD = 35/4
xD = 35/3
Therefore, the coordinates of point D are (35/3, -35/3 + 10) = (35/3, 5/3).
We can now plot the points A, B, C, and D on the coordinate axes, and verify that they form a parallelogram.
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Can someone plz help?
Answers
Answer:
x = 12 in ; Type in 12 in the box
Step-by-step explanation:
If we were to apply triangle formula ; 1/2 * base * height, we would see that length of height ⇒ 10 inches, and length of base ⇒ x inches,
Given an Area of 60 square inches let us substitute into the formula 1/2 * base * height and solve for x;
Area of Triangle = 1/2 * base * height,
60 in^2 = 1/2 * x in * 10 in ⇒ take 1/2 * 10,
60 in^2 = 5 in * x in ⇒ divide either side by 5 in,
12 in = x in ⇒ divide either side by inches,
x = 12 inches,
Solution; x = 12 in
At summer camp the ratio of boys to girls was 2:7. If there were 28 boys, how many girls are there?
Answers
Answer:
98 girls
Step-by-step explanation:
Every 2 boys there are 7 girls. So, there are 28 boys we need to find how many more times boys there are so, 28/2=14 and then we would multiply 14*7=98. So, 98 girls.
1 To keep track of his profits, the owner of a carnival booth decided
to model his ticket sales on a graph. He found that his profits only
declined when he sold between 10 and 40 tickets. Which graph could
represent his profits?
Profit ($10's of dollars)
dollars)
Profit ($10's
898765432
10
10
9
8
7
6
4
10 20 30 40 50 60 70 80 90 100
Number of Tickets Sold
(1)
10 20 30 40 50 60 70 80 90 100
Number of Tickets Sold
(2)
10
998 CS
Profit ($10's of dollars)
21
10
888765
Profit ($10's of dollars)
8
4321
Use this
comp
V=220iq
10 20 30 40 50 60 70 80 90 100
Number of Tickets Sold
(3)
10 20 30 40 50 60 70 80 90 100
Number of Tickets Sold
(4)
Answers
Among the given options, graph (3) represents the profits of the carnival booth owner accurately. Option C
The owner states that his profits only declined when he sold between 10 and 40 tickets. Looking at graph (3), we observe that the profit starts at a higher level, decreases as the number of tickets sold increases, and then remains relatively constant after the 40-ticket mark.
This corresponds to the owner's statement that profits decline within the specified range of ticket sales.
Graph (1) shows a continuous decline in profits, which contradicts the information given in the question. The profits should not continuously decline but should only decline within the specific range of ticket sales mentioned.
Graph (2) displays a constant profit level throughout, which also contradicts the given information. According to the owner, profits should decline within the specified range of ticket sales.
Graph (4) shows an irregular pattern of profits with multiple peaks and troughs, which does not align with the statement that profits only decline between 10 and 40 tickets.
In summary, graph (3) accurately represents the profits of the carnival booth owner, as it shows a decline in profits within the range of 10 to 40 tickets sold and relatively constant profits after that point.
Option 3 is correct.
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Directions: Given the trinomiais in A, look for their factors in B to decode tha message. A 2x^(2)+15x+7 A. (2x+5)(3x-1) 6x^(2)+13x-5 T. (x-2)(5x+1) 5x^(2)-9x-2 (x+7)(2x+1) 12x^(2)-11x+2 N. (x+7)(4x+1) 4x^(2)+29x+7 V. (4x-1)(3x-2)
Answers
The decoded message is given by, (2x + 1)(x + 7), (2x - 1)(3x + 5), (5x + 2)(x - 1), (4x - 1)(3x - 2), and (4x + 1)(x +7).
Given trinomials in A, factors in B to decode the message. The trinomials in A and their factors in B to decode the message are as follows:
2x^2 + 15x + 7 = (2x + 1)(x + 7)6x^2 + 13x - 5
= (2x - 1)(3x + 5)5x^2 - 9x - 2
= (5x + 2)(x - 1)12x^2 - 11x + 2
= (4x - 1)(3x - 2)4x^2 + 29x + 7
= (4x + 1)(x + 7)
Therefore, The decoded message is given by, (2x + 1)(x + 7), (2x - 1)(3x + 5), (5x + 2)(x - 1), (4x - 1)(3x - 2), and (4x + 1)(x + 7).
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Michael is riding his tricycle, he has a head start of 5 meters and is pedaling at 2 meters every 3 seconds. What is the equation of the line? What is the independent and dependent variables?
Answers
Answer: y = 2/3x + 5
Step-by-step explanation:
y = mx + b
Starting with a head start of 5 m would give you b (initial y value). The slope (m) is how many meters per second which is 2/3. So, the equation would be y = 2/3x + 5.
The x is the independent and the y is the dependent.
Please help!!
you will thoroughly analyze a set of data. First you are to describe the data so that the reader can
place it in context, then do each of the following. Your analysis will include all the items mentioned
below, making sure you explain yourself at each step. Graphs, calculations, and numbers without
comment are not allowed. Put this all nicely together as one item, ordering items close to how they are
given below.
Use the data set on the other side of the page. Make a histogram and analyze it using terms learned in
class. Present a 5 number summary and modified box plot. Are there any outliers? Report the mean
and standard deviation. (DO NOT discard outliers) The mean was important in this experiment.
Calculate a 95% confidence interval for the true mean. Explain what this means. Compare these (5
number summary and mean/standard deviation). Are the mean and standard deviation valid for this
set of data? Justify your answer. Some of the above (and what follows below) makes no sense if the
data is not approximately normal. Explain what this means. Is this data close to normally distributed?
Justify your answer. Regardless of your conclusion, for the next part assume the data is approximately
normal. \
The data is listed in the order it was recorded (down first, then across). Do a time plot. Analyze this plot,
paying special attention to new information gained beyond what we did above. Cut the data in half
(first three columns vs. last three columns) and do a back to back stem plot. Analyze this. Does this
further amplify what the time plot showed? Calculate the mean of the second half of the data. Using
the mean and standard deviation of the whole data set (found above) as the population mean and
standard deviation, test the significance that the mean of the second half is different than the mean of
the total using a = 0.05. Make sure to clearly identify the null and alternative hypothesis. Explain what
this test is attempting to show. Report the p-value for the test and explain what that means. Accept or
reject the null hypothesis, and justify your decision (based on the pvalue).
Answers
1. Describing the data:
- The data set is listed in a specific order, with the values recorded vertically and then horizontally.
- It is important to note that the context or nature of the data is not specified.
2. Creating a histogram:
- We will construct a histogram using the data set.
- The histogram will provide a visual representation of the distribution of the data.
3. Analyzing the histogram:
- We will use terms learned in class to analyze the histogram, such as shape (symmetrical, skewed, etc.), central tendency, and spread.
- This analysis will help us understand the characteristics of the data distribution.
4. Presenting a 5-number summary and modified box plot:
- We will calculate the five-number summary (minimum, first quartile, median, third quartile, maximum) for the data set.
- Using this summary, we will construct a modified box plot to visualize the distribution and identify any potential outliers.
5. Identifying outliers:
- We will examine the modified box plot to identify any outliers in the data set.
- Outliers are values that significantly deviate from the rest of the data and may have an impact on the mean and standard deviation.
6. Calculating the mean and standard deviation:
- We will calculate the mean and standard deviation for the entire data set.
- The mean represents the average value of the data, while the standard deviation measures the spread or variability around the mean.
7. Interpreting the 95% confidence interval for the true mean:
- We will calculate a 95% confidence interval for the true mean of the data.
- This interval will provide a range within which we are 95% confident that the true population mean lies.
8. Comparing the 5-number summary and mean/standard deviation:
- We will compare the characteristics of the data set provided by the 5-number summary and the mean/standard deviation.
- This will help us determine if the mean and standard deviation are valid measures for this particular data set.
9. Assessing normality of the data:
- We will discuss the concept of data being approximately normal and its implications.
- We will examine the histogram and other visualizations to determine if the data appears to follow a normal distribution.
10. Time plot analysis:
- We will create a time plot using the data set, considering the order in which the data was recorded.
- The time plot will allow us to observe any trends or patterns in the data over time.
11. Analyzing the time plot:
- We will analyze the time plot, paying attention to any new information gained beyond the previous steps.
- This analysis will help us understand any temporal patterns or changes in the data.
12. Conducting a back-to-back stem plot:
- We will divide the data into two halves: the first three columns and the last three columns.
- Using a back-to-back stem plot, we will compare the distributions of the two halves and identify any differences.
13. Mean of the second half of the data:
- We will calculate the mean of the second half of the data set.
- This will help us compare the mean of the second half to the overall mean of the entire data set.
14. Testing the significance of the mean of the second half:
- Using the mean and standard deviation of the entire data set as the population parameters, we will conduct a hypothesis test.
- The null hypothesis will state that the mean of the second half is equal to the mean of the total, while the alternative hypothesis will suggest they are different.
15. Explaining the hypothesis test:
Simplify the following:
a. a+a+a+a+a+a
b. 5x-4x+10x
c. 9t+3t-6t
d. -5j+11j+j
Answers
=(a+a+a+a+a+a)
= 6a
b. 5x-4x+10x=(5x+−4x+10x)
= 11x
c. 9t+3t-6t=(9t+3t+−6t)
= 6t
d. -5j+11j+j=(−5j+11j+j)
= 7j
a)= 6a
b)= 11x
c)=6t
d)= 7j
have a great day!Sandra took 4 tests in math and her mean score was 18. I she scored 18, 22, and
17 in three tests, find Sandra's score in the fourth test.
Answers
Answer:
15
Step-by-step explanation:
(18+22+17+x)/4=18
18+22+17+x=18×4
57+x=72
x=72-57
x=15
Which values from this set {−30, −20, −10, 0, 10, 20} satisfy this inequality?
−1/5x+3≤7
A.−20, −10, 0, 10, and 20 only
B.0, 10, and 20 only
C.−30, −20, and −10 only
D.−30 and −20 only
Answers
In other words, everything but -30.
========================================================
Explanation:
Let's solve for x
\(-\frac{1}{5}x + 3 \le 7\\\\-\frac{1}{5}x \le 7-3\\\\-\frac{1}{5}x \le 4\\\\x \ge 4*(-5)\\\\x \ge -20\\\\\)
Note how the inequality sign flips when we multiply both sides by the negative number.
Since x can be -20 or larger, this means that the values -20,-10,0,10,20 are all solutions. Only -30 is a non-solution. It might help to draw out a number line to see which values work and don't work.
--------------------------------
An alternative method is to plug each value from the set {-30,-20,-10,0,10,20} into the original inequality and simplifying. If you get a true statement at the end, then the value is a solution.
I'll show an example with x = -30 and x = -20 to show a non-solution and a solution. I'll let you check the others.
So let's start with x = -30
\(-\frac{1}{5}x + 3 \le 7\\\\-\frac{1}{5}(-30) + 3 \le 7\\\\6 + 3 \le 7\\\\9 \le 7\\\\\)
The last statement is false because 9 is not 7 or smaller than 7. So that's why x = -30 is not a solution.
Now let's try x = -20
\(-\frac{1}{5}x + 3 \le 7\\\\-\frac{1}{5}(-20) + 3 \le 7\\\\4 + 3 \le 7\\\\7 \le 7\\\\\)
This is a true statement since any number is equal to itself.
You should find that x = -10, x = 0, x = 10, and x = 20 lead to true statements.
Answer:A
Step-by-step explanation:
the girl that said it first i stoled it
Solve for x 3/4x + 5/4 = 4x
(9the grade Algebra 1 )
Answers
Answer:
\(x = \frac{5}{13} \)
Step-by-step explanation:
\( \frac{3}{4} x + \frac{5}{4} = 4x\)
\(3x + 5 = 16x\)
\(3x - 16x = - 5\)
\( - 13x = - 5\)
\(x = \frac{5}{13} \)
T/FThe area of descriptive statistics was developed to provide further detail to statisticians about population inferences.
Answers
Descriptive statistics is a branch of statistics that deals with the collection, analysis, interpretation, and presentation of data. It focuses on summarizing and describing the characteristics of a sample or population. The purpose of descriptive statistics is to provide a clear and concise summary of the data, including measures of central tendency, variability, and distribution.
True,This information can be used to make inferences about the population as a whole. Therefore, descriptive statistics helps statisticians to better understand and interpret the population data.
False, Descriptive statistics is a branch of statistics that focuses on summarizing and organizing data from a sample or population. It provides insights into the basic features of the data, such as the mean, median, and standard deviation, but does not make inferences about the population.
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Sydney is a salesperson who sells computers at an electronics store. She makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from her sales that day. Let P represent Sydney's total pay on a day on which she sells "x" dollars worth of computers. Write an equation that represents P as a function of X
Answers
Answer:
P=0.025x+100
Step-by-step explanation:
The y-intercept of the function is 100 which represents the base pay Sydney makes regardless of computer sales.
that's the correct answer^^^
y = 1/40x + 100 is an equation that represents P as a function of X
What is Linear function?A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph.
Given, Sydney is a salesperson who sells computers at an electronics store. She makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from her sales that day.
Let the equation of line y = kx + b
Where b is 100
Since the given line passes through (0, 100) and (4000,200)
since For a line k = (y₂ - y₁)/(x₂ - x₁)
Thus, k = (200 -100)/(4000-0)
k = 1/40
Thus,
y = 1/40x + 100
Therefore, an equation that represents P as a function of X is y = 1/40x + 100.
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Complete question:
The line y = 5x + 2 is shown. -22- 20 18 16 14 12 10- 8 6 0 6 8 Eva wants to use the line to solve the equation 5x + 2 = 11 a) Explain how Eva could do this.
Answers
She will plot a graph using the given points and trace the point y = 11 to the x-axis.
What is a linear equation?A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant.
Firstly she would have form tables of values for x and y using y = 5x + 2 x-values had been given as -22- 20 18 16 14 12 10- 8 6 0 6 8 .
Then plot a graph of the line y =5x + 2 with y on the vertical and x on the horizontal.
After plotting the graph, on the vertical axis trace y = 11, draw a horizontal line from y = 11 until it just touches the straight line graph from that point drop a vertical line until it touches the x-axis. the value of x there is the solution of the equation y = 5x +2.
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need help asap very confusing (for me)
Answers
Answer:
The last one (2/3 and 8/12)
Step-by-step explanation:
When you reduce 8/12, you would get 2/3. If you multiply 2/3, you would get 8/12. Therefore, this ratio is proportional.
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Write a possible equation for a sine function that has a minimum point at (-3, 0) and a maximum point at (-9, 6).
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The sinusiodal function created from 2 given points is y = 3 sin (πx + 90) + 3
From the case, we have:
Minimum point = (-3,0)
Maximum point = (-9,6)
The sinusoidal fuction would be in the form of:
y = A sin (Bx - C) + D
where:
A = amplitudo
B = 2π / Period
C = Phase shift
D = Midline
First, we need to find the amplitudo:
A = (Y max - Y min) / 2
A = (6 - 0) / 2
A = 3
Periode = (X max - X min) x 2
Periode = (-9 - (-3) x 2
Periode = -6
B = 2π / Periode
B = 2π / 6
B = 1/3 π
D = (Y max + Y min) / 2
D = (6 + 0) / 2
D = 3
We can use one point to find the value of C:
0 = 3 sin (π/3 (-3) - C) + 3
0 = 3 sin (π - C) + 3
-3 = 3 sin (π - C)
sin (π - C) = -1
(π - C) = 270
C = -1/2 π
C = - 90
Then the sinusiodal function would be:
y = 3 sin (πx + 90) + 3
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Select the correct answer.
What is the equation of a line that passes through (7, 8) and has a slope of -3?
OA y=-3x+29
OB y=3x + 13
Ocy=((3)x - 299
D. 'y=(1/(3)x- 13
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Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 3 , thus
y = - 3x + c ← is the partial equation
To find c substitute (7, 8) into the partial equation
8 = - 21 + c ⇒ c = 8 + 21 = 29
y = - 3x + 29 → A
6
5
4
2
1
-3 -2 -1
2.
3 4
5
6 7
-1
-2
-3
-4
Equation:
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Answer:
(-1,5)
(0,2)
(-1,1)
(2,-4)
Answer:
y = -3x + 2
Step-by-step explanation:
Rise (y'-y): 2-5 = -3
Run ( x'-x): 0 - -1 = 1
slope (m): rise/run = -3/1
y intercept (b): 2
Equation: y = mx + b
y = -3x + 2
Brian asked a group of people their favourite holiday destination. The results are summarised in the table. Destination=Uk=84, Europe=72, USA=108, Africa=60, Other=156 How many degrees does one person represent? Give your answer as a fraction in its simplest form.
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Answer:
0.4615
Step-by-step explanation:
1/780 x 360 = 0.4615
Answer:
3/4°
Step-by-step explanation:
84+72+108+60+156= 480 people
480*x= 360°
x= 360°/480= 3/4°
At Memorial High School, 60 of the 240 freshmen students are on an athletic team sponsored by the school. If the ratio is the same for the sophomore class, how many of the 220 sophomores are NOT athletes
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Answer:
165 students or the sophomore class of 220 are not athletic.
Step-by-step explanation:
60/240 = .25 This means that 25% of the class is athletic. That would mean and .75 or 75% are not athletic.
220 x .75 = 165