Given cot ø = 4/3. Find the other two reciprocal trigonometic ratios. 1) scs 2) sec
Answer:
csc ø = 5/3 ; sec ø = 5/4
Step-by-step explanation:
cot ø = adj/opp
adj = 4
opp = 3
after that, we must find the hypotenuse by using phytagoras theorem
hpy² = adj² + opp²
hpy² = 4² + 3²
hpy² = 25
hpy = 5
now let's find the other
csc ø (not scs) = hyp/opp = 5/3
sec ø = hyp/adj = 5/4
penny reads 14 pages in 1/4
hour. What is the unit rate for pages per hour? For hours per page?
help me pls
If triangle ABC has points A(2, -4) B(-3, 1) C(-2, -6) and you perform the following transformations, where will B' be?
Reflection over the y-axis, rotation 90° clockwise, and translation (x + 2, y - 1)
If triangle ABC has points A(2, -4) B(-3, 1) C(-2, -6) and you perform the following transformations, B' would be located at B' (3, -4).
What is a translation?In Mathematics, a translation is a type of rigid transformation which is used in moving every point of an object in the same direction, as well as for the same distance.
By applying a reflection over the y-axis to the coordinate of the given point B (-3, 1), we have the following coordinates:
Coordinate B = (-3, 1) → Coordinate B' = (-(-3), 1) = (3, 1).
Next, we would apply a rotation of 90° clockwise as follows;
(x, y) → (y, -x)
Coordinate B' = (3, 1) → Coordinate B' = (1, (-3)) = (1, -3)
Lastly, we would apply a translation (x + 2, y - 1) as follows:
Coordinate B' = (1, -3) → (1 + 2, -3 - 1) = B' (3, -4).
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The graph of function f is shown. Function g is represented by the table. x -1 0 1 2 3 4 g(x) 24 6 0 -2 Which statement correctly compares the two functions? A. They have different end behavior as x approaches -∞ and different end behavior as x approaches ∞. B. They have the same end behavior as x approaches -∞ but different end behavior as x approaches ∞. C. They have the same end behavior as x approaches -∞ and the same end behavior as x approaches ∞. D. They have different end behavior as x approaches -∞ but the same end behavior as x approaches ∞.
The answer choice which correctly draws a comparison between the end behaviors of the functions is; Choice C; They have the same end behavior as x approaches -∞ and same end behavior as x approaches ∞.
As given in the task content; the graph of the exponential function passes through (-4, 9), (0, 1), (1, 0), and (5, -2).
It therefore follows that as; x reduces (approaches -∞), the y value increases.
And, as x -increases (approaches +∞), the y-value decreases.
For the table, the values can be written as coordinates as follows; (-1,2), (0,4), (1,6), (2, 0), (3,-2).
Consequently, as x reduces (approaches -∞), the y- values decrease.
And, as x increases (approaches +∞), the y-values decrease.
Ultimately, the two functions in discuss can be concluded to have; Choice C.
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5
Which expression is equivalent to 4 (2p+49)?
A 4p + 169
B 8p + 49
2p + (3p + 169)
D) None of the above
Answer:
D) None of the above
Step-by-step explanation:
4 (2p+49)
= 4*2p + 4*49
= 8p + 196
At a family reunion, each of Shamar's aunts and uncles is getting photographed once. The aunts are taking
pictures in groups of 5 and the uncles are taking pictures in groups of 10. If Shamar has the same total number
of aunts and uncles, what is the minimum number of aunts that Shamar must have?
The minimum number of aunts that Shamar must have based on the information provided is 10.
What are the possible number of uncles and aunts?It is known that uncles will take a photograph in groups of 10, while aunts will take a photograph in groups of 5. Based on this, the possible number for each are:
Uncles: 10, 20, 30, 40, 50
Aunts: 5, 10, 15, 20, 25
How to find the minimum number of relatives?In this case, the minimum number is the LCM or Least Common Multiple and based on the previous list, this number is 10.
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2(2x - 4) = 3(x + 4)
Answer:
24
Step-by-step explanation:
i dont know if its correct
The US Department of Energy reported that 45% of homes were heated by natural gas. A random sample of 314 homes in Oregon found that 175 were heated by natural gas. Test the claim that proportion of homes in Oregon that were heated by natural gas is different than what was reported. Use a 5% significance level.
The proportion of homes in Oregon heated by natural gas is different than the reported national average of 45%.
Hypothesis testingNull hypothesis: The proportion of homes in Oregon heated by natural gas is the same as the reported national average of 45%.
Alternative hypothesis: The proportion of homes in Oregon heated by natural gas is different than the reported national average of 45%.
We can use a two-tailed z-test to test this hypothesis.
The test statistic is calculated as:
z = (p - P) / √[P(1-P)/n]
where p is the sample proportion, P is the hypothesized population proportion (0.45), and n is the sample size.
Using the values given in the problem, we have:
p = 175/314 = 0.557
P = 0.45
n = 314
Plugging these values into the formula, we get:
z = (0.557 - 0.45) / √[0.45(1-0.45)/314] = 3.039
Using a standard normal distribution table, we find that the probability of getting a z-value of 3.039 or higher (in absolute value) is less than 0.005.
Since the significance level is 0.05, which is greater than the p-value, we can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis.
Therefore, the proportion of homes in Oregon heated by natural gas is different than the reported national average of 45%.
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What is the greatest common factor of 20 and 36? A2 B4 C5 D6
Answer:
4
Step-by-step explanation:
Simin learns she did poorly on her science exam. Feeling sad, she purchases
several new pieces of clothing online. When the packages arrive, she can't
remember why she even ordered them. This is an example of:
Simin's behavior is an example of buying for the wrong reason.
What motivated Simin to buy clothes?Simin's main motivation was the fact she did poorly on her exam and due to this, she decides to buy clothes to "feel better".
What does this behavior show?Simin's behavior shows impulsiveness when deciding how to use money or what to buy. Indeed, Simin's reason to buy the clothes is not the best because it is based on emotions rather than on logic. Based on this, Simin's actions are an example of buying for the wrong reason.
Note: This question is incomplete because the options are not provided. Here are the options:
A. Using credit wisely.
B. Trying to impress her friends.
C. Buying for the wrong reason.
D. Being forgetful.
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Pls someone help me do this will give brainless
Answer:
Step-by-step explanation:
38 divided by 817,152
Your answer is 0.00004650297619
The regular price of a watch is $42.25. During a sale, the watch rang up for 29.95. What was the percent off the watch during the sale? (5 points)
a
The sale was a 29% increase.
b
The sale was a 41% increase.
c
The sale was for a 41% decrease.
d
The sale was for a 29% decrease.
Answer:
(d) The sale was for a 29% decrease.
Step-by-step explanation:
Original/Regular price = $42.25
New/Sale price = $29.95
Difference in prices = 42.25 - 29.95 = 12.3
Formula for finding the percentage decrease of the sale
= \(\frac{Difference in prices}{Original/Regular price}\) × 100
\(\frac{12.3}{42.25}\) × 100
= \(\frac{1230}{42.25}\)
≈ 29.11 %
≈ 29 %
Therefore, the percent off the watch during the sale was approximately 29%.
I hope this helps! I would really appreciate it if you would please mark me brainliest! Have a blessed day!
Use the data set below to answer the following questions. 20 26 28 25 28 18 23 15 17 26 29 24 29 29 17 15 17 20 30 29 16 21 22 28 19
Approximately what percent of the data are greater than 28?
Approximately what percent of the data are less than 23?
Approximately what percent of data are greater than 17.5?
Approximately what percent of data are between 17.5 and 28?
Approximately 37.5% of the data are greater than 28, 33.3% of the data are less than 23, 91.7% of the data are greater than 17.5, and 62.5% of the data are between 17.5 and 28.
To answer the questions, we can analyze the given data set.
First, let's count the number of data points that satisfy each condition:
Greater than 28:
There are 9 data points greater than 28 (29, 29, 29, 30, 29, 29, 28, 28, 28).
Less than 23:
There are 8 data points less than 23 (20, 18, 15, 17, 17, 15, 17, 19).
Greater than 17.5:
There are 22 data points greater than 17.5.
Between 17.5 and 28:
There are 15 data points between 17.5 and 28.
Now, let's calculate the approximate percentage for each condition:
Percent greater than 28:
The total number of data points is 24. Approximately, 9 out of 24 data points are greater than 28.
Percentage =\((9 / 24) \times 100 = 37.5\)%.
Percent less than 23:
Approximately, 8 out of 24 data points are less than 23.
Percentage = \((8 / 24) \times 100 = 33.3\)%.
Percent greater than 17.5:
Approximately, 22 out of 24 data points are greater than 17.5.
Percentage = \((22 / 24) \times 100 = 91.7\)%.
Percent between 17.5 and 28:
Approximately, 15 out of 24 data points are between 17.5 and 28.
Percentage = \((15 / 24) \times 100 = 62.5\)%.
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how many solution does 5x - 1 = 10x -4 - 5 x + 3 have?
Martin wants to put frame around a painting. The painting measures 3 feet by 8feet. Write the simplified expression for the area of the framed painting if the frame is to be x feet wide. A(x)=
please help me with my online classwork!
Answer:
840 cm²---------------------------
There are two triangular faces with base of 16 cm and height of 15 cm and three rectangular faces.
Find the sum of areas of all five faces:
S = 2*(1/2)*16*15 + (17*2 + 16)*12 = 240 + 600 = 840If RAMS is a rectangle and RM = x² + 5x and AS = 11x + 16 and RA = x² + 15. Find x and find RA.
what kind of witchcraft is this?
What values of x solve the equation f (x) = 1
Optimal Chapter-Flight Fare If exactly 212 people sign up for a charter flight, Leisure World Travel Agency charges $292/person. However, if
more than 212 people sign up for the flight (assume this is the case), then each fare is reduced by $1 for each additional person. Determine how
many passengers will result in a maximum revenue for the travel agency. Hint: Let x denote the number of passengers above 212. Show that the
revenue function R is given by R(x) = (212+x)(292-x).
passengers
What is the maximum revenue?
$
What would be the fare per passenger in this case?
dollars per passenger
Answer:
Dollars per passenger would be $252.
The maximum revenue is $63,404.
Step-by-step explanation:
Let's define the number of passengers above 212 as x.
The revenue function is given by R(x) = (212 + x)(292 - x).
We can expand and simplify the revenue function:
\(R(x) = 212 * 292 + 212 * (-x) + x * 292 + x * (-x)\)
= \(61804 - 212x + 292x - x^2\)
= \(-x^2 + 80x + 61804\)
The revenue function is a quadratic function in the form\(R(x) = -x^2 + 80x + 61804\), representing a downward-opening parabola.
To find the x-coordinate of the vertex (which gives the number of passengers for maximum revenue), use the formula \(x = -b/2a\), where \(a = -1\) and \(b = 80\).
\(x=\frac{-80}{2*(-1)}\)
\(= \frac{80}{2}\)
\(= 40\)
Therefore, the number of passengers above 212 for maximum revenue is 40.
Substitute x = 40 into the revenue function to find the maximum revenue:
\(R(x) = -(40)^2 + 80(40) + 61804\)
\(= -1600 + 3200 + 61804\)
\(= 61804 + 1600\)
\(= 63404\)
Hence, the maximum revenue is $63,404.
To determine the fare per passenger, subtract x from the base fare of $292:
Fare per passenger = Base fare - x
\(= 292 - 40\)
\(= 252\) Dollars per passenger.
hellllllllllllllllllllllllllllp please
Answer:
The terms in pattern Y are 2 times the terms in pattern X
Step-by-step explanation:
for which set of probabilities would events a and b be independent?; which situation describes independent events?; find a โฉ b โฉ c. a) {2,3,5,6,7,11,12} b) {2,3,5,6,7,8,9,11,12} c) {3,7} d) {7}; what is the probability of an event that is certain; what is the probability of an event that is impossible; what is the sum of the probabilities of all values of the random variable; what is the sum of the probabilities of all possible outcomes; oatmeal cookie recipe healthy
Independent events are events whose occurrence does not depend on any other event. If the probability of the occurrence of an event A does not depend on the occurrence of an event B, then A and B are said to be independent events.
According to question, firstly we have answer that which of the given situation describes independent events.
The situation {3,7} describes that a and b are independent.
The probability of certain event .
Firstly, we will understand certain event means.
The event where the event is 100% certain, these events are called certain events.
The probability of certain event is 1 as this event is bound to happen.
The probability of impossible event.
An impossible event is an event that does not contain any possible outcomes (recall that possible outcomes are Ω elements).
An impossible event has zero probability.
The sum of the probabilities of all values of the random variable.
A random variable has a countable number of possible values where the probability of each value of the random variable is between 0 and 1, and the sum of all probabilities is equal to 1.
The total probability of all possible outcomes.
The sum of the probabilities of all possible outcomes of every event is always equal to 1.
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Henri necesita empacar en la menor cantidad de de cajas, cinta de color rojo y cinta de color verde si hay 120 metros de cinta de color rojo y 160 metros de cinta de color verde ¿que cantidad de cinta roja y verde deberá empacar Henri en cada caja?
Answer:
Step-by-step explanation:
ASSIGNMENT Question
A steel tape of nominal length \( 30 m \) was use d to measure a line AB by suspending it between supports. The following measurements were recorded Line. AB length measured 29.872 Slope angle 3.67° Mean temperature 5° Tension applied 120N The standardized length of the tape against reference tape was known to be 30.14m at 20°and 50.. if the tape weight 0.17Nm–¹ and has a cross sectional area of 2mm¹.. calculate the horizontal length of AB..young's modulus(E) for the tape 200knmm–² and the coefficient of thermal expansion (a) is 0.0000112 per °C
Step-by-step explanation:
That depends on the tension on the tape.
As defined, the tape, due to gravity would form a catenary, a curve, so the measurement would be less than 30 m. The tension on the tape would affect the degree to which the measurement would be less. A tension well within the limits of the steel used to make the tape would be would be well within the accuracy of the tape. Over 30 m, the tape is likely +/- 2 mm, the recorded value could be 30m, +1mm/-3mm. If you need more than that degree of accuracy, you don’t use a tape.
There is a new food delivery company that charges $10 to deliver 3 meals and $16 to deliver
12 meals. If the charging rate remains constant, how much will it cost to deliver 9 meals?
Using a linear function, it is found that it will cost $14 to deliver 9 meals.
------------------------------
A linear function has the following format:
\(y = mx + b\)
In which
m is the slope(rate of change).b is the y-intercept(value of y when x = 0).------------------------------
To build the linear function, we use the two points given by the exercise: (3,10), (12,16)------------------------------
The slope is given by the change in y divided by the change in x, thus:
Change in y: 16 - 10 = 6Change in x: 12 - 3 = 9Slope: \(m = \frac{6}{9} = \frac{2}{3}\)Thus:
\(y = \frac{2}{3}x + b\)
------------------------------
Using one of the point, we can find b.I am going to use (3,10), which means that when \(x = 3, y = 10\). Thus:\(y = \frac{2}{3}x + b\)
\(10 = \frac{2}{3}(3) + b\)
\(2 + b = 10\)
\(b = 8\)
The cost of delivering x meals is given by:
\(y = \frac{2}{3}x + 8\)
------------------------------
The cost of delivering 9 meals is y when x = 9, thus:
\(y = \frac{2}{3}(9) + 8 = 2\times3 + 8 = 6 + 8 = 14\)
It will cost $14 to deliver 9 meals.
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20 points
Tina is saving to buy a notebook computer. She has two options. The first option is to put $300 away
initially and save $20 every month. The second option is to put $100 away initially and save $40 every
month. After how many months would Tina save the same amount using either option? How much
would she save with either option?
After
months, Tina will save $
with either option.
Answer:
10 months
$500
Step-by-step explanation:
Option 1
300 + 20x, where x is the number of monthsOption 2
100 + 40xBoth options reveal same amount:
300 + 20x = 100 + 40x300 - 100 = 40x - 20x200 = 20xx = 200/20x= 10 monthsCost of notebook:
300 + 20*10 = 300 + 200 = $500Robin has 8 sticks of butter to make 13 batches of brownies. How many sticks of butter should she use for each batch of brownies?
Answer:
Step-by-step explanation:
=
can make 11 batches with 1/3 stick butter left over
Answer:
1 5/8
Step-by-step explanation:
Sandra exercised 2/3 hour everyday for 2 weeks while she was on vacation. How many hours did Sandra exercise during her vacation?
the answer is 9.33 hours
ASAP, PLSSS!!!! What is the range of the given function?
Answer:
[6, 8).
Step-by-step explanation:
When we are looking for the range of a function by just looking at the graph, we have to define from what point to what point the graph move vertically. On the other hand, if we were looking for the domain, we would state from where to where the graph moves horizontally.
In this case we have to analyze the graph vertically, since we are looking for the range of the function. Therefore, if we take a look at the line we can notice that it goes from y=6 to y=8. Therefore the range should be from 6 to 8.
Now, this result must be expressed in interval notation, meaning that we have to state whether the values of each end are contained or not by the function. The graph already tells us about it., because it marks it with the closed or open dots. In the case of the number 6, we have a closed dot, means that the function contains the number 6. For the other end we have an open dot, means that the function doesn't contain the number 8.
Applying internal notation, the range of this function is:
[6, 8).
Learn more about interval notation here:
1. https://web.nmsu.edu/~kberver/Unit1/Unit18.html#:~:text=An%20interval%20is%20closed%20if,used%20for%20an%20open%20endpoint.
2. https://brilliant.org/wiki/interval-notation/#:~:text=Interval%20notation%20is%20a%20way,inequality%20or%20system%20of%20inequalities.
If you increase______and _____then you will increase the objects amount of potential energy. a. mass, speed b. mass, velocity c. mass, height d. mass, acceleration
The correct answer is c. mass, height.
If you increase the mass of an object and raise it to a higher height, you will increase its amount of potential energy. Potential energy is directly proportional to both mass and height.
The potential energy of an object in a gravitational field is given by the equation:
Potential Energy = mass * gravitational acceleration * height
By increasing the mass (m) and the height (h), the potential energy (PE) of the object increases:
PE ∝ m * h
Therefore, increasing the mass and height of an object will increase its potential energy.