The cosine of the angle 199° will be less than zero that is cos 199° < 0. Then the correct option is C.
What is trigonometry?Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
In the first quadrat, the angle is from 0° to 90°.In the second quadrat, the angle is from 90° to 180°.In the third quadrat, the angle is from 180° to 270°.In the fourth quadrat, the angle is from 270° to 360°.The angle of 199° lies in the third quadrant.
In the third quadrant, the sine and cosine of the angle are negative and the tangent of an angle is positive.
The cosine of the point 199° will be under zero that is cos 199° < 0. Then, at that point, the right choice is C.
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Calculate the loss on selling 50 shares of stock originally bought at 13 3/4 and sold at 12
The loss on selling 50 shares of stock would be 87.50.
To calculate the loss on selling 50 shares of stock originally bought at
\(13\frac{3}{4}\) and sold at 12, we need to determine the difference between the purchase price and the selling price, and then multiply it by the number of shares sold.
First, let's convert the purchase price from a mixed fraction to a decimal. \(13\frac{3}{4}\) can be expressed as 13.75.
Next, we calculate the difference between the purchase price and the selling price:
\(13.75 - 12 = 1.75.\)
Finally, we multiply the difference by the number of shares sold:
\(1.75 \times50 = 87.50.\)
Therefore, the loss on selling 50 shares of stock would be 87.50.
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The graph below shows a line of best fit for the data collected on the distance drivers traveled as a function of time
Which of the following is the equation of the line best fit?
A. y = 50/3x
B. y = 2/3x
C. y = 5/3x
D. y = 20/3x
Answer:
It C pls give brainlist
Step-by-step explanation:
A sports physician conducted a study to investigate whether there is an association between running experience and the occurrence of a certain sport injury for marathon runners while training for a marathon. Data were collected on a random sample of 51 marathon runners. Each runner from the sample was categorized by running experience (low, medium, high) and whether or not the runner experienced the sport injury while training for a marathon. The conditions for inference were met, and a χ2 test statistic of approximately 8.12 was calculated.
Which of the following describes the p-value of the test?
p-value>0.25
0.10
0.05
0.01
p-value<0.01
Considering the test statistic for the chi-square distribution, the correct option regarding the p-value of the test is as follows:
p-value>0.25
How do we find the p-value for a chi-square distribution?It is found using a calculator, given two parameters, the test statistic and the number of degrees of freedom.
In this problem, the parameters are as follows:
Test statistic of 8.12.50 degrees of freedom, as it is one less than the sample size of 51.Using a chi-square calculator, the p-value is of 1, hence the correct option is:
p-value>0.25
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Please look at the pic and help!!
Answer:
4x² + 22x - 12
Step-by-step explanation:
A = bh/2
A = (4x - 2)(2x + 12)/2
A = (8x² + 48x - 4x - 24)/2
A = (8x² + 44x - 24)/2
A = 4x² + 22x - 12
PLEASE HELP! Mr. Smith makes $20 an hour working full time. He gets about 25% of his income taken out for taxes. He came up with the following monthly budget.
Household:
Rent: $700
Cable: $85
Cell Phone: $175
Electric: $100
Food: $350
Total: 1,410
Automobile
Car: $200
Car Insurance: $100
Gas: $90
Maintenance: $15
Total: $405
How much money does he have left over monthly to put into savings?
Answer:
$585/month
Step-by-step explanation:
To determine how much money Mr. Smith has left over monthly to put into savings, we need to first calculate his monthly income and his monthly expenses, including taxes.
Mr. Smith's hourly rate is $20, and he works full time, which is typically 40 hours per week. Therefore, his weekly income is:
$20/hour x 40 hours/week = $800/week
To find his monthly income, we multiply his weekly income by the number of weeks in a month:
$800/week x 4 weeks/month = $3,200/month
To find his monthly expenses, we add up the amounts for his household and automobile expenses:
$1,410/month (household) + $405/month (automobile) = $1,815/month
Since Mr. Smith gets about 25% of his income taken out for taxes, we need to calculate the amount of taxes he pays each month:
$3,200/month x 0.25 = $800/month (taxes)
Now we can subtract his monthly expenses and taxes from his monthly income to find out how much money he has left over to put into savings:
$3,200/month - $1,815/month - $800/month = $585/month
Therefore, Mr. Smith has $585/month left over to put into savings after paying his expenses and taxes.
Im diying:(
dont be mean man
pls help
2 cm 2 cm (1.7 cm 3 cm 2 cm Find the surface area of the triangular prism. square centimeters
Answer:
The answer is 21.4
Step-by-step explanation:
\(area = 3(2 \times 3) + 2 ( \frac{1}{2} \times 2 \times 1.7) \\ = 18 + 3.4 \\ = 21.4\)
Answer:
surface area = 21.4 cm^2
Step-by-step explanation:
both ends = 2x1.7x0.5x2 = 3.4
3 sides = 2x3x3 = 18
18 + 3.4 = 21.4 cm^2
what is 38.08÷23.80 i need help
Answer:
1.6
Step-by-step explanation:
i used calculator
Answer: 1.6
Step-by-step explanation:
please help immediately what is the input if the output is 7
The side length of a square with area of 7 units squared is given as follows:
2.65 units.
How to obtain the area of a square?The area of a square of side length s is given by the side length squared, according to the equation given as follows:
A = s².
In this problem, we have that the output is of 7, that is, the area of the square is of seven, hence the side length of the square is given as follows:
s² = 7
s = sqrt(7)
s = 2.65 units.
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Which statements are true? Select each correct answer. Responses Only some triangles are plane figures. Only some triangles are plane figures. All triangles are polygons. All triangles are polygons. All triangles have 3 right angles. All triangles have 3 right angles. All triangles are closed figures. All triangles are closed figures. All triangles have 3 straight sides.
The three true statements are as follows:
All triangles are polygons.All triangles are closed figures. All triangles have 3 straight sides.What are the true statements?In the list, there are several true statements and some of them include the facts that all triangles are polygons, they are closed figures and they have three straight sides.
A polygon is a shape with two or more sides. Triangles ahve three sides, so we can easily address them as polygons. Also, all triangles are closed figures and they also have three straight sides.
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Mary spends 2 2 3 hours on math homework every week. She also spends 3 1 3 hours on art homework every week. How much time does Mary spend in total on math and art over 4 weeks?
Answer: This is the answer. please give me the brainliest. Thanks
At a high school, the probability that a student is a senior is 0.25. The
probability that a student plays a sport is 0.20. The probability that a student
is a senior and plays a sport is 0.08.
What is the probability that a randomly selected student plays a sport, given
that the student is a senior?
O A. 0.08
B. 0.17
C. 0.25
O D. 0.32
Answer:
a
Step-by-step explanation:
if im right, the answer would be in the question :) its asking for the probability of a senior who plays a sport, and the third sentence is "the probability that a student is a senior and plays a sport is 0.08". sorry if im wrong!
what steps are needed to find the equation of a line given the graph?
The equation of the line is y = x.
To find the equation of a line given its graph, you need to follow the steps below.
Step 1: Determine the slope of the line.The slope of the line can be determined using the formula: slope = rise/run or m = Δy/Δx. Rise is the change in the y-coordinates and run is the change in the x-coordinates.
Step 2: Determine the y-intercept of the line.The y-intercept is the point where the line intersects the y-axis. You can determine the y-intercept by looking at the point where the line crosses the y-axis on the graph. The y-intercept is denoted by the letter b.
Step 3: Write the equation of the lineThe equation of the line can be written in slope-intercept form, which is y = mx + b. The slope (m) and y-intercept (b) that were determined in steps 1 and 2 are used to substitute into this equation. Thus, the equation of the line becomes y = slope(x) + y-intercept.
Example:Let's say you are given the graph of a line below: .
Step 1: Determine the slope of the line.To determine the slope of the line, you need to choose two points on the line and calculate the rise and run. Let's choose the points (2, 1) and (4, 3). The rise is 2 (3 - 1) and the run is 2 (4 - 2). Therefore, the slope of the line is: m = 2/2 = 1.
Step 2: Determine the y-intercept of the lineThe line crosses the y-axis at the point (0, 0). Therefore, the y-intercept of the line is b = 0.
Step 3: Write the equation of the line.The equation of the line in slope-intercept form is y = mx + b. Substituting the slope and y-intercept into this equation gives: y = 1x + 0 or y = x.
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Writing Linear Equations from Graphs : PLAESE HELPPPPPPPPPPPPP!!!!!!!!!!!!!
Answer:
1. y = -2x + 5
2. y = -3/2x + 3
Hope this helps, thank you :) !!
A bag contains colored tiles.
• 3 tiles are red
• 6 tiles are green
• 3 tiles are blue
A tile will be randomly selected from the bag.What is the probability in decimal form that the tile selected will
be green?
0.5 or 50% because there are 12 tiles and 6 are green. 6/12 probability simplifies to 1/2 = 0.5 = 50%
What is the value of y when x equals 10 (y=2x+1)
Answer:
y= 21
Step-by-step explanation:
2*10+1= y
20+1= 21
y = 21
The equation of the line is
Answer:
y = -x +3
Step-by-step explanation:
You want the slope-intercept equation of the line with the same intercept as -3y = -9 +3x, and the same slope as -2x -2y = -8.
Slope-intercept formThe slope-intercept form of the equation of a line is ...
y = mx +b . . . . . where m is the slope, and b is the y-intercept
For the given equations, we can put them in this form to find the desired parameters.
-3y = -9 +3x
y = -x +3 . . . . . . . . . . divide both sides by -3
We observe that the y-intercept is +3, which we will need for our answer.
The slope-intercept form of the second equation is ...
-2x -2y = -8
x + y = 4 . . . . . . . . . . divide by -2
y = -x +4 . . . . . . . . . . subtract x
We observe that the slope (coefficient of x) is -1, which we will need for our answer.
Desired equationWe want the equation of the line with slope -1 and y-intercept 3. It is ...
y = -x +3 . . . . . . . . . . same as the equation of the first line
__
Additional comment
The slope-intercept equation (green) is plotted using dots, so that you can see it is coincident with the line described by the first equation (red). Parallel lines have the same slope, so our desired line must be parallel to the blue line. (It is.)
if f(x)=x+2/x^2-9 and g(x)=11/x^2+3x
A. find f(x)+g(x)
B. list all of the excluded values
C. classify each type of discontinuty
To receive credit, this must be done by Algebraic methods, not graphing
The types of discontinuities are: removable discontinuity at x = -3 and vertical asymptotes at x = 0 and x = 3.
A. To find f(x) + g(x), we add the two functions together:
f(x) + g(x) = (x + 2)/(x^2 - 9) + 11/(x^2 + 3x)
To add these fractions, we need a common denominator. The common denominator in this case is (x^2 - 9)(x^2 + 3x). So, we rewrite the fractions with the common denominator:
f(x) + g(x) = [(x + 2)(x^2 + 3x) + 11(x^2 - 9)] / [(x^2 - 9)(x^2 + 3x)]
Simplifying the numerator:
f(x) + g(x) = (x^3 + 3x^2 + 2x^2 + 6x + 11x^2 - 99) / [(x^2 - 9)(x^2 + 3x)]
Combining like terms:
f(x) + g(x) = (x^3 + 16x^2 + 6x - 99) / [(x^2 - 9)(x^2 + 3x)]
B. To find the excluded values, we look for values of x that would make the denominators zero, as division by zero is undefined. In this case, the excluded values occur when:
(x^2 - 9) = 0 --> x = -3, 3
(x^2 + 3x) = 0 --> x = 0, -3
So, the excluded values are x = -3, 0, and 3.
C. To classify each type of discontinuity, we examine the excluded values and the behavior of the function around these points.
At x = -3, we have a removable discontinuity or hole since the denominator approaches zero but the numerator doesn't. The function can be simplified and defined at this point.
At x = 0 and x = 3, we have vertical asymptotes. The function approaches positive or negative infinity as x approaches these points, indicating a vertical asymptote.
Therefore, the types of discontinuities are: removable discontinuity at x = -3 and vertical asymptotes at x = 0 and x = 3.
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Show your work and write an expression by using these clues:
1. Write a number that is greater than 100, but smaller than 10,000
2. Divide that number by 10, 100 or 1,000
3. The quotient should be a number that is less than 100, but greater than 1
Answer: 10.1
Step-by-step explanation:
Step 1: 1,000 is greater than 100 but smaller then
Step 2: 10,000 1,000 is divided by 10,100 which =10.1
Step 3: and 10.1 is less than 100 greater than 1
Answer:10.1
Step-by-step explanation:
Step 1: 1,000 is greater than 100 but smaller then
Step 2: 10,000 1,000 is divided by 10,100 which =10.1
Step 3: and 10.1 is less than 100 greater than 1
Step-by-step explanation:
Write an equation for the graph of the parent function sqrt(x) after it has been horizontally shifted 3 the right, shifted down vertically 7 units, and then stretched vertically by a factor of 6.
Step-by-step explanation:
Sqrt (x)
sqrt (x-3) <====shifted 3 units right
sqrt(x-3) -7 <====shifted down 7 units
6 sqrt (x-3) - 7 < ==== stretched
is 9/3 equivalent to a whole number
Answer:
Yes 3 to be exact
Step-by-step explanation:
9 ÷ 3 = 3
Hope this helps
have a great day!!
Hey there!
“ Is 9/3 equivalent to a whole number?”
Whole number is a number WITHOUT a fraction!
So, to answer your given question.... YES , 9/3 is equivalent to a WHOLE NUMBER because it gives you 3
Answer: Yes ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 29 liters per minute. There are 600 liters in the pond to start.
Let W represent the total amount of water in the pond (in liters), and let T represent the total number of minutes that water has been added. Write an equation relating W to T. Then use this equation to find the total amount of water after 14 minutes.
The amount of water in the pond after 14 minutes will be 1006 L.
Given that the pound already having 600 L of water is being filled at rate of 29 L per minutes, we need to establish an equation that represent the relation between number of minute and amount of water in the pond.
So,
The relation can be defined as;
W = 600+29T
When T = 14
W = 600+29(14)
W = 1006
Hence, the amount of water in the pond after 14 minutes will be 1006 L.
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Find a1 in the geometric series Sn=3045, r=2/5, and an=120 Please help this is due at 11:59 pm TONIGHT! Remember to show work!
Answer:
a1 = 1875
Step-by-step explanation:
You want a1 for the geometric series that has r = 2/5, an = 120, and Sn = 3045.
Series relationsThe n-th term of the geometric series with first term a1 and common ratio r is ...
an = a1·r^(n-1)
The sum of the first n terms of the geometric series is ...
Sn = a1·(r^n -1)/(r -1)
ApplicationWe can use the expression for an to substitute for r^n in the sum equation:
\(a_n=a_1(r^n)(r^{-1})\\\\r^n=\dfrac{a_n}{a_1r^{-1}}=\dfrac{a_nr}{a_1}\\\\S_n=a_1\dfrac{r_n-1}{r-1}=a1\dfrac{\dfrac{a_nr}{a_1}-1}{r-1}\\\\S_n=\dfrac{a_nr-a_1}{r-1}\\\\a_1=a_nr-S_n(r-1)=a_nr+(1-r)S_n\\\\a_1=(120)\dfrac{2}{5}+(1-\dfrac{2}{5})(3045)=\dfrac{2\cdot120+3\cdot3045}{5}\\\\\boxed{a_1=1875}\)
__
Additional comment
The sum is of the first four terms:
1875 +750 +300 +120 = 3045
We can also find this by working backward. The previous term is 5/2 times the current term. We need to find the terms that have a sum of 3045.
120 +300 +750 +1875 +4687.5 +...
Clearly, 5 terms is too many. The sum of the first 4 terms of the backward series is 3045, so we know n=4 and the first term is 1875—the last term of our 4-term backward series.
The Pappas family has two cats, Zeus and Athena. Together they weigh nine pounds. Zeus weighs 3 pounds less than Athena. How much does Athena weigh?
Answer:
Athena weighs 6 pounds. (Zeus weighs 3 pounds).
Step-by-step explanation:
We know that A (Athena) + Z (Zeus) = 9. And we know that Zeus weighs three pounds less than Athena. Knowing this we can do
1 + 8 = 9
2 + 7 = 9
3 + 6 = 9
We can see that 6 and 3 equal 9 and 6 is 3 away from 3, getting us the answer that Athena weighs 6 pounds. :) I hope this helps! ^^
Trying to find the equivalent ratio with lower terms
A. 30:36=20: ?
B. 21:35=? :20
The sum of two integers is 44. The difference of the two integers is 8.
What is the smaller integer?
Answer:
18
Step-by-step explanation:
44/2=22
the difference between the two numbers= 8
8/2=4
(22-4) + (22+4) = 18+26 = 44
the smaller number = 18
Answer:
The smaller integer is 18.
Step-by-step explanation:
x is the larger integer, and y is the smaller integer.
x + y = 44
x - y = 8
For x - y = 8, add y to both sides and get x = 8 + y.
Change x in x + y = 44 for 8 + y.
8 + y + y = 44
8 + 2y = 44
2y = 36
y = 18
Whole numbers to make 2.8 in three different ways
Answer:
28/10
14/5
3 - 1/5
Step-by-step explanation:
28/10
14/5
3 - 1/5
The whole numbers to make 2.8 in three different ways are 28/10,14/5, 3 - 1/5.
What is a whole number?An entire quantity is an absolutely any high-quality wide variety that does not encompass a fractional or decimal component. because of this, as an example, the numbers 0, 1, 2, three, 4, 5, 6, and 7 are all whole numbers. Numbers that include -three, 2.7, or 3 ½ aren't whole numbers.
The complete numbers are a set of real numbers that consist of 0 and all superb counting numbers. while, excludes fractions, negative integers, fractions, and decimals. when you consider that, 1 is a positive integer and is a counting number. therefore, it is taken into consideration to be a whole wide variety.
sure, 0 is a rational variety. because we understand, a rational number may be expressed as p/q, in which p and q are integers and q isn't equal to 0. for this reason, we will explicit zero as p/q, wherein p is identical to zero and q is an integer.
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For 2021, Gourmet Kitchen Products reported $22 million of sales and $19 million of operating costs (including depreciation). The company has $14 million of total invested capital. Its after-tax cost of capital is 9% and its federal-plus-state income tax rate was 25%. What was the firm's economic value added (EVA), that is, how much value did management add to stockholders' wealth during 2021?
The firm’s economic value added (EVA), that is, how much value did management add to stockholders’ wealth during 2018 is $0.42 million
What is Subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
here, we have,
Net operating profit = (22 million - 19 million)*(1 - 0.36)
= $1.92 million
EVA = net operating profit after taxes - invested capital*WACC
= 1.92 million - 15 million*0.10
= $0.42 million
Therefore, The firm’s economic value added (EVA), that is, how much value did management add to stockholders’ wealth during 2018 is $0.42 million.
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Solve the equation x squared +6x+1=0
The solutions to the equation x² + 6x + 1 = 0 are x = -3 + 2√(2) or x = -3 - 2√(2)
What is a quadratic equation?
A quadratic equation is a second-degree polynomial equation of the form ax² + bx + c = 0 where a, b, and c are constants, and x is the variable. The solutions can be found using the quadratic formula x = (-b ± √(b² - 4ac)) / (2a) or by factoring the quadratic expression into two linear factors.
To solve the quadratic equation x² + 6x + 1 = 0, we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
where a, b, and c are the coefficients of the quadratic equation. Substituting the values from our equation, we get:
x = (-6 ± √(6²- 4(1)(1))) / (2(1))
Simplifying inside the square root, we get:
x = (-6 ± √(32)) / 2
We can simplify the square root further by factoring out a 4:
x = (-6 ± 4√(2)) / 2
Simplifying the fraction, we get:
x = -3 ± 2√(2)
Therefore, the solutions to the equation x² + 6x + 1 = 0 are:
x = -3 + 2√(2) or x = -3 - 2√(2)
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Drag each expression to a box to show whether it is a correct way to check the answer
to this equation:
4,112 - 5 = 822 remainder 2
CLEAR
Answer:
822 × 5 + 2
Step-by-step explanation:
Given that:
4112 ÷ 5 = \(\frac{4112}{5}\)
= 822 remainder 2
To check if the answer is correct, we can write that;
\(\frac{4112}{5}\) = 822 remainder 2
4112 = 5 x 822 remainder 2
= 5 x 822 + 2
= 822 x 5 + 2
4112 = 4112
Thus,the correct process of checking the answer is 822 x 5 + 2.
What is the product of the two numbers, written in scientific notation?
1.4 x 10^3 and 5.6 x 10^2
A. .784 x 10^6
B. 7.84 x 10^5
C. 7.84. x 10^6
D. 78.4 x 10^5
Answer:
The answer is 83
Step-by-step explanation:
You have to mutiply them all then divide