Answers
Answer:
I think the right answer probably will be the 4th
because in the third quarter the sin is negative and the tan is positive
Related Questions
find the arc length of a partial circle with a radius of 4
3/4 part of a circle
Answers
To find the arc length of a partial circle with a radius of 4 3/4 parts of a circle, we need to use the formula for arc length:
Arc Length = θ/360° x 2πr
where θ is the central angle of the partial circle in degrees, r is the radius of the circle, and π is approximately equal to 3.14.
First, we need to find θ. Since we know that the partial circle is a fraction of the full circle, we can use the fraction to find θ. Let's call the fraction x.
x = (partial circle)/(full circle) = (arc length)/(circumference)
Solving for arc length, we get:
arc length = x(circumference)
Since the circumference of a circle is given by 2πr, we can substitute and simplify:
arc length = x(2πr) = x(2π)(4 3/4) = x(9.42)
Now we need to find x. Since the partial circle has a radius of 4 3/4 parts of a circle, we know that its central angle is a fraction of 360°, the central angle of the full circle. Let's call this fraction y.
y = (central angle of partial circle)/(central angle of full circle)
Solving for the central angle of the partial circle, we get:
central angle of partial circle = y(360°)
Since the radius of the partial circle is 4 3/4 parts of a circle, we know that its circumference is:
circumference = 2π(4 3/4) = 2π(19/4) = 9.42
Therefore, we can solve for y as follows:
y = (central angle of partial circle)/(central angle of full circle) = (arc length)/(circumference) = arc length/9.42
Substituting the given values, we get:
y = arc length/9.42 = (4 3/4)/(360) = 0.0131944
Now we can solve for arc length using the formula:
Arc Length = θ/360° x 2πr = y(360°)/360° x 2π(4 3/4) = 0.0131944 x 2π(4 3/4) = 0.13π
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what is the probability that a randomly selected gas station in russia charged more than the mean price in the united state
Answers
The probability that a randomly selected gas station in Russia charges more than the mean price in the United States is quite low.
This is because the prices of gas in Russia are typically much lower than the mean price of gas in the United States. The average cost of gasoline in Russia is around $0.50 per liter while in the United States, the average price of gas is around $1.78 per liter.
To explain further, the cost of living in Russia is lower than the cost of living in the United States. This means that there is more disposable income for people living in Russia and as a result, the price of gas is much lower than in the United States.
In addition, the cost of transportation and other production costs are lower in Russia than in the United States, which also keeps the prices of gas in Russia lower.
All of these factors make it unlikely that a randomly selected gas station in Russia would be charging more than the mean price in the United States.
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Please help!!! I don't need a quick answer
Answers
Answer:
780 ≥ 58.53x + 566.83
Step-by-step explanation:
He has $780 that he can spend, so the total must be less than or equal to 780.
Let x = number of biking outfits.
Costs:
Bicycle: $490.50
Reflectors: 4 × $14.98 = $59.92
Gloves $16.44
Outfits: $58.53x (The cost of x outfits is 58.53x)
The total he spends is:
490.5 + 59.92 + 16.44 + 58.53x =
= 58.53x + 566.86
This total has to be less than or equal to $780.
58.53x + 566.86 ≤ 780
This can be written as
780 ≥ 58.53x + 566.83
a company had 80 employees whose salaries are summarized in the frequency distribution below. find the standard deviation.
Answers
The standard deviation of the salaries for the company's 80 employees is calculated to be X, where X represents the numerical value of the standard deviation.
The standard deviation measures the dispersion or variability of a set of data points. In order to calculate the standard deviation, we need to first find the mean (average) of the salaries. Then, for each salary, we calculate the difference between the salary and the mean, square that difference, and sum up all the squared differences. Next, we divide the sum by the total number of salaries (80 in this case) minus 1 to obtain the variance. Finally, the standard deviation is obtained by taking the square root of the variance. This accounts for the fact that the squared differences are in squared units, while the standard deviation should be in the original units (currency in this case).
By following this process, we can find the standard deviation of the salaries for the 80 employees in the company. This value represents the measure of variability or spread in the salary distribution, providing insights into how salaries deviate from the mean.
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17.3% of 45.94km (round up to 2 DP)
Answers
Answer:
7.90
Step-by-step explanation:
turn 17.3% into decimal which is 0.173
45.94*0.173 = 7.90168
round to 2 dp is 7.90
3x+y=10
y=-3x+10
Use substitution
Answers
Answer:
Infinitely many solutions
Step-by-step explanation:
substituting \(y=-3x+10\) into \(3x+y=10\) we get:
\(3x-3x+10=10\\\\0+10=10\\\\0=0\)
Since it is equal to itself there are infinitely may solutions to this problem
Om had a balance of 546 in his checking account. He made a deposit of $56, and wrote checks for $17 and $30. His bank charged him a $3 service fee. How much
honey does Om have in the account?
Answers
Answer:
540
Step-by-step explanation:
546-56=490
490+17+30=537
537+3=540
Which of these relationships would most likely have a NEGATIVE correlation?
a. temperature outside vs. ice cream sales
b. hours worked vs. $ earned
c. # of hours spent raking vs. # of leaves still on the ground
d. height vs. # of pets
Answers
Explanation:
As the person spends more time raking, the number of leaves will go down. Therefore, we have a negative correlation. Such correlations occur when one variable goes up while the other goes down (and vice versa).
The reason why it's considered negative correlation is because the regression line has a negative slope.
This is why choice C is the answer. This assumes that no extra leaves fall on the ground, and we assume that we don't have nearby leaves blow into the yard.
In contrast, something like choice A has both variables go up together. As the temperature rises, so does the ice cream sales. The same goes for choice B. We consider these cases to have positive correlation. Choice D doesn't appear to have any correlation at all. The person's height doesn't have any connection to the number of pets they may have.
Answer:
The answer is C! (PLATO)
(0)
In paragraph format, identify and describe how quantitative literacy (math skills) may be used in a clinical setting. Consider your chosen career path, your current place of work, or a previous work setting.
Give a specific example of how you would use (or have used) quantitative analysis.
Write a "math problem" for your group to solve. Topics may include calculating dosages, converting to military or international time as used in hospitals, radiology angles, converting temperature from Celsius to Fahrenheit, use of calibrated spoons, etc. And just in case this is really difficult (which it may be), here are a few other topics for creating a math problem:
Answers
Quantitative literacy can be used in a clinical setting to assess the patient's health status, determine the patient's progress, and make informed decisions.
Medical professionals must be competent in quantitative literacy to ensure that patients receive the best possible care. To ensure that patients receive the best possible care, quantitative literacy must be used. Quantitative literacy is critical in a clinical setting because of its ability to provide accurate information, facilitate decision-making, and improve patient outcomes.Quantitative literacy may be used in a clinical setting in a variety of ways. Some examples of how quantitative literacy may be used in a clinical setting include:Calculating dosages: When calculating dosages, quantitative literacy is critical to ensuring that the correct amount of medication is given to the patient. This is particularly important for medications that have a narrow therapeutic window, such as insulin or digoxin.Converting temperatures: Quantitative literacy is essential when converting temperatures from Celsius to Fahrenheit or vice versa. This is important when monitoring patient's body temperature for signs of fever or hypothermia.Calculating infusion rates: When administering intravenous fluids, quantitative literacy is essential to ensure that the correct infusion rate is used. This is important because fluids that are infused too quickly can cause fluid overload, while fluids that are infused too slowly may not provide adequate hydration
.Math Problem:
Convert 50°C to Fahrenheit
To convert Celsius to Fahrenheit, you use the following formula:
F = (C x 1.8) + 32
Substitute 50 for C in the formula:
F = (50 x 1.8) + 32F = 90 + 32F = 122°F
Therefore, 50°C is equal to 122°F.
In conclusion, quantitative literacy is critical to ensure that patients receive the best possible care. In the medical field, nurses, doctors, and other healthcare professionals must have excellent quantitative skills to interpret and use numerical data. They must understand how to calculate medication dosages, infusion rates, and vital signs accurately. They must also be able to interpret lab results, which are typically presented numerically. Without quantitative literacy, healthcare professionals would not be able to provide adequate care to their patients.
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(1 point) consider the initial value problem y′′ 4y=0,
Answers
The given initial value problem is y′′-4y=0. The solution to the initial value problem is y(t)=(3/2)*e^(2t)-(1/2)*e^(-2t).
This is a second-order homogeneous linear differential equation with constant coefficients. The characteristic equation is r^2-4=0, which has roots r=±2. Therefore, the general solution is y(t)=c1e^(2t)+c2e^(-2t), where c1 and c2 are constants determined by the initial conditions.
To find c1 and c2, we need to use the initial conditions. Let's say that y(0)=1 and y'(0)=2. Then, we have:
y(0)=c1+c2=1
y'(0)=2c1-2c2=2
Solving these equations simultaneously gives us c1=3/2 and c2=-1/2. Therefore, the solution to the initial value problem is y(t)=(3/2)*e^(2t)-(1/2)*e^(-2t).
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HELP NEED THIS NOW
A laptop has a listed price of $804.99 before tax. If the sales tax rate is 7.75%, find the total cost of the laptop with sales tax included.
Round your answer to the nearest cent, as necessary.
Answers
Answer:
$867.37Step-by-step explanation:
tax rate = 7.75%sale prize = $804.99tax = (804.99 × 7.75) / 100 = 62.38amount with tax = $804.99 + $62.38 = $867.37MARK ME AS BRAINLISTEvaluate the gradient of f(x, y, z) = log(x2 + y2 + z2) at (1, 0, 1)
Answers
The gradient of f(x, y, z) = log(x2 + y2 + z2) at (1, 0, 1) is (2/1, 0, 2/1)
This gradient is a vector that points in the direction of the greatest rate of increase of the function f(x, y, z) = log(x2 + y2 + z2). To evaluate this gradient, the partial derivatives of the function with respect to x, y, and z must be calculated.
The partial derivative of the function with respect to x is (2x / (x2 + y2 + z2)). When x is 1, this simplifies to 2/1. Similarly, the partial derivative with respect to y is 0, and the partial derivative with respect to z is (2z / (x2 + y2 + z2)), which simplifies to 2/1 when z is 1. Therefore, the gradient of f(x, y, z) = log(x2 + y2 + z2) at (1, 0, 1) is (2/1, 0, 2/1).
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x-(-7) = -10 as an addition equation
Answers
x + 7 = -10
x = -10 - 7
x = -17
Answer: x=-17
Step-by-step explanation:
Given
x-(-7)=-10
Expand Parenthesis (REMEMBER to change signs)
x+7=-10
Subtract 7 on both sides
x+7-7=-10-7
x=-17
Hope this helps!! :)
Please let me know if you have any questions
Sam wanted to buy candy for all of his friends to share at lunch. One pound of chocolates cost $6.95, but Sam only needs 0.6 of a pound. What will be the total cost for the chocolates Sam buys?
Answers
Answer:
$4.17
Step-by-step explanation:
We can create a proportion to solve for the cost of 0.6 lbs of chocolate, where x represents the cost:
Step 1: Set up the proportion remembering that first cost / first weight = second cost / second weight, where
the first cost is $6.95,the first weight is 1 lb,the second cost is $x, and the second weight is 0.6 lbs$6.95 / 1 lbs = $x / 0.6
Step 2: Multiply both sides by 0.6 to isolate and solve for x:
(6.95 = x/0.6) * 0.6
4.17 = x
Thus, the cost of 0.6 lbs of chocolates costs Sam $4.17
A snail moves 7/50 of a mile in 7/8 of an hour. If the snail continues at this pace, how far, in miles, does it move in one hour?
Answers
The number of miles it takes the snail to move for an hour is 25/4 miles
How to find the number of miles the snail moves?Number of miles the snail moves = 7/50 of a mileNumber of hours the snail moves = 7/8 of an hourhow far, in miles, does it move in one hour?
let number of miles = xEquate the ratio of number of miles to number of hours
7/50 : 7/8 = x : 1
7/50 ÷ 7/8 = x / 1
7/50 × 8/7 = x / 1
50/8 = x / 1
cross product50 × 1 = 8 × x
50 = 8x
divide both sides by 8
x = 50/8
x = 25/4 miles
In conclusion, the snail moves 25/4 miles when traveling for an hour.
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Proof that 2 parallel lines intercept congruent arcs on the same circle.
A) when both parallel lines are secant to the circle
B) when both parallel lines are tangent to the circle
Answers
Step-by-step explanation:
A) When both parallel lines are secant to the circle:
Let's consider two parallel lines, line l and line m, that intersect a circle at four points. Let A and B be two of the points where line l intersects the circle, and let C and D be two of the points where line m intersects the circle, as shown below:
```
C D
o-----o
/ \
/ \
/ \
/ \
A B
o------------------------o
```
Since line l is parallel to line m, we know that ∠A = ∠C and ∠B = ∠D, because they are corresponding angles. We also know that the sum of opposite angles of a cyclic quadrilateral is 180 degrees. Therefore, we have:
∠ACB + ∠ADB = 180° (opposite angles of cyclic quadrilateral ABCD)
∠A + ∠C + ∠B + ∠D = 180° (sum of angles in quadrilateral ABCD)
Substituting ∠A = ∠C and ∠B = ∠D, we get:
∠ACB + ∠ADB = 180°
2∠A + 2∠B = 180°
∠A + ∠B = 90°
This means that ∠ACB and ∠ADB are complementary angles. Since the intercepted arcs are defined by the central angles ∠ACB and ∠ADB, and these angles are complementary, it follows that the intercepted arcs are congruent.
B) When both parallel lines are tangent to the circle:
Let's consider two parallel lines, line l and line m, that are tangent to a circle at points A and B, as shown below:
```
o
/ | \
/ | \
/ | \
/ | \
A--------o--------B
\ | /
\ | /
\ | /
\ | /
o
```
Since line l is parallel to line m, we know that ∠A = ∠B, because they are alternate interior angles. We also know that the angle between a tangent and a chord that intersects the tangent is equal to the intercepted arc. Therefore, we have:
∠ALB = 2∠A (angle between tangent line l and chord AB)
∠BLA = 2∠B (angle between tangent line m and chord AB)
Substituting ∠A = ∠B, we get:
∠ALB = 2∠A
∠BLA = 2∠A
This means that the intercepted arcs AL and BL are congruent, because they are defined by the central angles ∠ALB and ∠BLA, which are equal.
Therefore, we have shown that in both cases, when two parallel lines intercept a circle, they intercept congruent arcs on the same circle.
Answer:
Step-by-step explanation:
O comprimento de um retângulo é 6x e sua largura é 5y. A) Escreva uma expressão algébrica que representa o perímetro desse retângulo. B) Se x = 4 cm e y = 7 cm, qual é o valor numérico desse perímetro.
Answers
Answer:
A) 12x + 10y
B) 118cm
Step-by-step explanation:
A) A fórmula para calcular o perímetro de um retângulo é dada como:
Perímetro de um retângulo = 2 (L + W)
= 2L + 2W
Onde
L = comprimento do retângulo
W = largura do retângulo
A) A pergunta nos diz que:
O comprimento de um retângulo é 6x e sua largura é 5y.
A expressão algébrica que representa o perímetro do retângulo =
Perímetro de um retângulo = 2 (L + W)
= 2L + 2W
L = 6x, W = 5y
= 2 (6x) + 2 (5y)
= 12x + 10y
A expressão algébrica que representa o perímetro do retângulo é
P = 12x + 10y
B) Se x = 4 cm e y = 7 cm, qual é o valor numérico desse perímetro.
P = 12x + 10y
x = 4cm
y = 7cm
Perímetro = 12 (4) + 10 (7)
Perímetro = 48cm + 70cm
Perímetro do retângulo = 118cm
Portanto, o valor numérico do perímetro é 118cm
how I answer this using Commutative and Associative Properties of Addition can help you evaluate the expression.
Answers
The value of the fraction given as - 1 3/4 - (-8 1/3) - (- 4 1/4) will be 10 5/6.
How to calculate the fraction?It should be noted that a fraction is simply used to represent the numbers that aren't whole.
Based on the information given, the fraction is illustrated as:
= - 1 3/4 - (-8 1/3) - (- 4 1/4)
Note that (-) × (-) = +
Therefore,
= - 1 3/4 - (-8 1/3) - (- 4 1/4)
= - 1 3/4 + 8 1/3 + 4 1/4
The LCM of the denominator is 12
= - 1 9/12 + 8 4/12 + 4 3/12
= 12 7/12 - 1 9/12
= 10 10/12
= 10 5/6
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A survey of 80 students found that 24 students both play in a band and play a sport. But 22 students are not in band and do not play a sport. There are 48 students in the band. If being in band is the row variable and playing sports is the column variable, fill in the labels in the table
Answers
Answer:
Step-by-step explanation:
D) a = 24, c = 48, e = 22, i = 80
check all the apply. if cos8 = 15/17, then:
Answers
Answer:
where's the pic
Cherado ordered concert tickets for himself and 5 friends. The total
price of the tickets was $270. How much was each ticket? Define a
variable and write an equation. Solve the equation and check your
solution.
PLEASE ANSWER THE RIGHT TY :)
Answers
Answer:
Step-by-step explanation:
$45 for each ticket
270/6=45
Because he is paying for himself and 5 other people, and the total is $270 so you divide 270 and 6
Plsssss helpppp meeeee!!!
Answers
23 x 10% 8 written as a scientific notation
Answers
Answer:
2.364646461616161616
Answer:
2.364646461616161616
Step-by-step explanation:
I understand the problem
Answers
Answer:
c.100
Step-by-step explanation:
first draw a figure of rhombus EFGH to avoid confusions
given
angle E= 3x+5
angle H= 4x
here,
E=G and H=F ( opposite angles of rhombus are equal)
now,
E+G+H+F= 360 ( sum of interior angles in a rhombus)
3x+5+3x+5+4x+4x= 360
x= 25°
we know that,
F= H
F= 4x
F= 4 × 25
F= 100
Hello, I need some assistance with this homework question, please? This is for my precalculus homework. Q14
Answers
y = x ( x-6) ^2
--------------
x-6
The domain is the values that x can take
The denominator cannot be zero
x-6 cannot equal zero
x-6 =0
x=6
X can be all values but 6
x | x cannot equal 6
To find the x intercepts, set y =0
This means the numerator is equal to zero
0 = x ( x-6)^2
Using the zero product property
x=0 (x-6)^2 =0
x =0 x-6 =0
x=0 x=6
but 6 is not in the domain so x cannot equal 6
The only x intercept is 0
Classify each as Polynomial or Not a Polynomial.
1.) 9x-^3 - 2y
2.) 2x^2 - 4√x
3.) 2x 2/3 - 4y
4.) 20x^2
5.) w/2 + 7
6.) 4y/2x
7.) -20x^2 + y
Answers
Not a Polynomial
Not a Polynomial
Polynomial
Not a Polynomial
Not a Polynomial
Polynomial
in the united states during the 1970s, nursing practice included the use of granulated sugar to pack stage iii and iv wounds based on the idea that bacteria would be less invasive of new tissue formation. over time, this method did not result in statistically significant increases in wound-healing time when compared to the saline wet-packing method. research was initiated to determine which packing method led to the best wound healing. the use of sugar for wound packing was an example of what type of practice?
Answers
The use of sugar for wound packing was an example of a practice that was later found to be ineffective and not supported by statistical evidence.
The use of granulated sugar for wound packing in the United States during the 1970s was an example of an outdated or ineffective practice.
This research led to the conclusion that the use of sugar for wound packing did not provide any added benefits in terms of wound healing.
As a result, the practice of using granulated sugar to pack wounds was gradually phased out.
The study highlighted the importance of evidence-based practice in healthcare. It demonstrated the need to critically evaluate and compare different treatment methods to ensure that patients receive the most effective and beneficial care.
Despite the belief that it would reduce bacterial invasion of new tissue formation, research showed that it did not significantly increase wound-healing time compared to the saline wet-packing method.
This prompted further research to determine the best packing method for wound healing.
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Determine the pulse rates that are within 1 standard deviation of the mean. What percentage of the total to the nearest 0.1 percent do these rates represent
Answers
The pulse rates that are within 1 standard deviation of the mean represent approximately 68% of the total to the nearest 0.1 percent.
When working with a set of pulse rates that are normally distributed, we can use the Empirical Rule to determine the pulse rates that are within 1 standard deviation of the mean. According to the Empirical Rule, approximately 68% of the data falls within 1 standard deviation of the mean.
To find the pulse rates that are within 1 standard deviation of the mean, we need to first find the mean and standard deviation of the pulse rates. After we have these values, we can determine the range of pulse rates that fall within one standard deviation of the mean.
To calculate the percentage of the total that represents those rates, we can use the formula: Percentage = (Number of data points within 1 standard deviation / Total number of data points) x 100.
For example, let's say the mean pulse rate is 72 beats per minute and the standard deviation is 8 beats per minute. Using the Empirical Rule, we know that approximately 68% of the pulse rates fall within one standard deviation of the mean. This means that the pulse rates that fall within one standard deviation of the mean are between 64 and 80 beats per minute.
To find the percentage of the total that represents those rates, we need to count the number of data points within that range. If we assume that we have 1000 data points, then the number of data points within the range of 64 to 80 beats per minute is approximately 680. Therefore, the percentage of the total that represents those rates is:
Percentage = (680/1000) x 100
Percentage = 68%
Therefore, the pulse rates that are within 1 standard deviation of the mean represent approximately 68% of the total to the nearest 0.1 percent.
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the average spending at neco's salad bar is $9.09 with a standard deviation of $3.49. the distribution follows normal distribution. the management is interested in the middle 85% of the customers (spending wise) as it believes that they represent the customer base. what will be the difference between the upper and lower spending cut-offs which define the middle 85% of the customers?
Answers
The difference between the upper and lower spending cut-offs that define the middle 85% of the customers is approximately $6.54.
To determine the difference between the upper and lower spending cut-offs that define the middle 85% of the customers, we need to calculate the corresponding z-scores and then convert them back to dollar amounts using the given mean and standard deviation.
First, we find the z-score associated with the lower cut-off. Since the lower cut-off represents the 7.5th percentile (half of 100% - 85% = 7.5%), we can use a standard normal distribution table or a statistical calculator to find the z-score that corresponds to this percentile. The z-score is approximately -1.036.
Next, we find the z-score associated with the upper cut-off. The upper cut-off represents the 92.5th percentile (100% - 7.5%). Using the same methods, we find that the z-score is approximately 1.036.
Now, we can convert these z-scores back to dollar amounts using the mean and standard deviation provided. The lower spending cut-off is calculated as $9.09 (mean) + (-1.036) * $3.49 (standard deviation) = $5.82 (rounded to two decimal places).
Similarly, the upper spending cut-off is calculated as $9.09 (mean) + (1.036) * $3.49 (standard deviation) = $12.36 (rounded to two decimal places).
Finally, we find the difference between the upper and lower cut-offs: $12.36 - $5.82 = $6.54.
Therefore, the difference between the upper and lower spending cut-offs that define the middle 85% of the customers is approximately $6.54.
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PLEASE solve both question with each step!!
Answers
Answer:
6x+10-3x=55
6x-3x=10+55
3x=65
65÷3=21.6