Answers
We will have 0.44 or 44% of original money after 8 quarters. The solution has been obtained by using arithmetic operations.
What are arithmetic operations?
Four fundamental mathematical operations can be used to represent any real number, and they are as follows:
1. The sum of the numbers is calculated using the addition operator ('+').
2. Subtraction with the "-" sign, which results in the difference between the numbers.
3. Multiply ('×') the result when it is the product of the numbers.
4. Division ('÷'), which yields the numbers' quotient.
We are given that we started the company with $5,000,000 and we lose 7% of that start up cash every quarter.
So,
Amount lost every quarter = $5,000,000 * 7% = $350,000
Now,
Amount lost in 8 quarters = $350,000 * 8 = $2,800,000
Therefore,
Money left = $5,000,000 - $2,800,000 = $2,200,000
Thus,
Percentage left of original money = $2,200,000/$5,000,000 * 100 = 44%
Hence, we will have 0.44 or 44% of original money after 8 quarters.
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Related Questions
What is the formula for the arc length of the sector of a circle?
Answers
If PQ subtends angle at the circle's center, then let PQ be an arc with radius r and a center at O. Thus, the arc length of PQ is given by PQ = /360° (2r), where is a degree.
What is angle?A figure that is created by two rays or lines that have the same endpoint is known as an angle in plane geometry. From the Latin word "angulus," which meaning "corner," comes the English term "angle." The vertex, which is the shared terminal of the two rays, is referred to as the side of an angle.Two lines intersect at a shared point to produce an angle. Degrees, denoted by the symbol °, are used to measure them. Acute, right, obtuse, and reflex angles are among the four crucial types of angles. 360° makes up a full circle. It has completed two full rotations if the angle is more than 720°.To learn more about angle, refer to:
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henry walks to and from school each day after 100 daqys of school he has walked 125 miles how many miles does henry walk to and from school each day
Answers
Answer: 0.8 miles
Step-by-step explanation:
So for 1 day he walks 125/100 miles
There for he walks 1.25 miles each day
PLEASE HELP
When rotated about it’s center, a regular heptagon has _ rotational symmetries. In addition to rotational symmetry, a regular heptagon has _ lines of reflectional symmetry.
Answers
When rotated about it’s center, a regular heptagon has 5 rotational symmetries. In addition to rotational symmetry, a regular heptagon has 7 lines of reflectional symmetry.
What is rotational symmetry?The number of times an object is precisely the same as the original object during a full 360° revolution is known as rotational symmetry, a sort of symmetry. It can be found in various geometrical objects as rhombuses, squares,
A sort of symmetry that pertains to reflections is called reflection symmetry. Line symmetry and mirror symmetry are other names for reflection symmetry. If a figure has at least one line dividing it into two halves, one half is said to be the mirror image of the other half.
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PLEASEE HELP ASAP!! 50 POINTS!
Select the correct answer. The graph of function f is shown. If g(x) = -2f(x), which graph is the graph of function g?
Answers
The graph of function f is shown. If g(x) = -2f(x), which graph is the graph of function g is show on the attachment
What is a graph?Note that the new function, g(x), provides a value for y that is -2 times the value returned by f(x). That means that for the same value of x, the resulting value of g(x) will be -2 times that provided by f(x).
See the attached image. The table shows how the values of y change for each value of x used in the respective function. Plot those new values to produce the graph.
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2r²-32 quadratic equation
Answers
Answer:
r = ±4.
Step-by-step explanation:
The general form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants. To write the equation 2r^2 - 32 in this form, you can subtract 32 from both sides to get 2r^2 - 32 = -32, and then divide both sides by 2 to get r^2 - 16 = -16. Finally, you can add 16 to both sides to get r^2 = 0, which is the standard form of a quadratic equation.
So, the equation 2r^2 - 32 = 0 can be written as the quadratic equation r^2 = 16, which has two real roots, r = ±4.
The measures of the angles in triangle UVW are shown in the diagram.
What is the value of x ?
Answers
Answer:
3x-9+34+24=180 (because the sum of angle of triangle is 180 )
3x+49=180
3x=180-49
3x=131
x=131÷3
x=43.67
The resistance y (in ohms) of 1000 feet of solid copper wire at 68 degrees Fahrenheit can be approximated by the modely=10, 770/x²-0.37 , 5<=x<=100where x is the diameter of the wire in mils (0.001 inches).(a) Complete the table.x5102030405060708090100y(b) Use the table of values in part (a) to sketch a graph of the model. Then use the graph to estimate the resistance when x=85.5�=85.5.(c) Use the model to confirm algebraically the estimate you found in part (b).
Answers
The graph of the model is illustrated below and the resistance when x = 85 is 1.12
The resistance of a conductor (such as a wire) is a measure of the opposition it presents to the flow of electric current. The resistance of a wire is dependent on various factors such as its length, cross-sectional area, and material. In this case, we are looking at the resistance of 1000 feet of solid copper wire, where the diameter of the wire is given in mils (0.001 inches).
The resistance of the wire can be approximated using the mathematical model:
=> y = 10,770/x² - 0.375,
where x is the diameter of the wire in mils and y is the resistance in ohms. The model is valid for values of x ranging from 5 to 100.
To complete the table, you need to plug in different values of x into the model and solve for y. For example, when x = 10,
=> y = 10,770/(10²) - 0.375 = 106.975 ohms.
The graph of the model can then be plotted by plotting the points (x,y) from the table and connecting them with a smooth curve. The graph can be used to estimate the resistance of the wire when x = 85.5 mils by finding the y-coordinate of the corresponding point on the graph.
Finally, you can use the model to algebraically confirm the estimate you found from the graph by plugging in the value x = 85.5 into the model and solving for y then we get the value as 1.12. This should give you the same answer as you found from the graph.
In conclusion, the resistance of a wire can be estimated using the mathematical model and can be used to make predictions about the resistance for different wire diameters.
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Three softball players discussed their batting averages after a game.
Probability
Player 1 seven elevenths
Player 2 six ninths
Player 3 five sevenths
Compare the probabilities and interpret the likelihood. Which statement is true?
Player 1 is more likely to hit the ball than Player 2 because P(Player 1) > P(Player 2)
Player 2 is more likely to hit the ball than Player 3 because P(Player 2) > P(Player 3)
Player 1 is more likely to hit the ball than Player 3 because P(Player 1) > P(Player 3)
Player 3 is more likely to hit the ball than Player 2 because P(Player 3) > P(Player 2)
Answers
The statement Player 3 is more likely to hit the ball than Player 2 because P(Player 3) > P(Player 2) is correct.
What is probability?The probability that an event will occur is equal to the ratio of positive outcomes to all outcomes, according to the probability formula. The proportion of positive outcomes to overall outcomes, or P(E), determines the likelihood that an event will occur.
Given three softball players discussed their batting averages after a game.
Probability
Player 1 is seven elevenths = 7/11
P(Player 1) = 0.636
Player 2 is six ninths = 6/9
P(Player 2) = 0.666
Player 3 is = five sevenths = 5/7
P(Player 3) = 0.714
so the probability of P(Player 3) > P(Player 2) > P(Player 1).
so Player 3 is more likely to hit the ball than Player 2 because P(Player 3) > P(Player 2).
Hence option D is correct.
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A cla recorded the mae,in gram,of 20 bag of rice. Their reult are hown on the right. Explain how all three tudent could be correct?
Answers
All three students could be correct if they recorded the mass of the 20 bags of rice in different units. For example, one student could have recorded the mass in kilograms, another student could have recorded the mass in pounds, and the third student could have recorded the mass in ounces.
In order for all three students to be correct, they would have to be recording the mass of the 20 bags of rice in different units. For example, one student could have recorded the mass in kilograms, another student could have recorded the mass in pounds, and the third student could have recorded the mass in ounces. This would explain why each student has a different answer, as they are all measuring the mass in different units. The only way to ensure accuracy would be to measure the mass in the same unit of measurement, so that all students have the same answer.
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if+x+grows+by+2%,+and+y+grows+by+3%,+then+z=xy+will+grow+approximately+by
Answers
The final value of z = xy will be 1.05 times the original value.
The formula for calculating the growth rate of z = xy is z’/z = (x’/x)+(y’/y). The prime symbol (‘) denotes the rate of growth. In this case we can substitute the given rates of growth of x and y: x’/x = 2% and y’/y = 3%. By substituting these values into the formula we can calculate the rate of growth of z. z’/z = (2% + 3%) = 5%.
Therefore z = xy will grow approximately by 5%. To calculate the exact change in z, we can use the formula for compound growth: z’ = z (1 + r/100)^t, where r is the rate of growth and t is the number of time periods. In this case, r = 5% and t = 1 (as the growth rate is per period). Therefore, z’ = z (1 + 5/100)^1 = z (1.05) = z * 1.05. This means that the final value of z = xy will be 1.05 times the original value.
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Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 28 liters per minute. There are 600 liters in the pond to start.
answer both equation and other
Answers
The equation to illustrate this will be 600 + 28m m.
How to explain the equationAn equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.
In this situation, the owners of a recreation area are filling a small pond with water and they are adding water at a rate of 28 liters per minute. There are 600 liters in the pond to start.
The equation to illustrate this will be:
= 600 + (28 × m)
= 600 + 28m
m = number of minutes.
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Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 28 liters per minute. There are 600 liters in the pond to start. Write the equation to illustrate this.
a segment that connects a vertex to the opposite side so that it creates a 90° angle
Answers
A segment that connects the vertex of a triangle with the opposite side so it makes a 90-degree angle is called Altitude.
In geometry, Altitude is used to describe the height of a polygon, triangle, or other two-dimensional shapes. The altitude of a figure is a line segment perpendicular to the base and passes through the vertex of the constitution. It is used to calculate the area of the figure and to determine the lengths of the sides and angles.
In three-dimensional figures, the altitude can also refer to the distance between the highest and lowest points of the constitution. The concept of altitude is widely used in mathematics, particularly in geometry, trigonometry, and related fields.
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Complete Question:
A line that connects the vertex of a triangle with the opposite side so it makes a 90 degree angle_____.
What is the boundary condition at a perfectly insulated surface expressed mathematically? (Check all that apply.) Check All That Apply эт (0,) k 0 эт (0, ) -k- 1 эт (0,) -k = 0 эт (),) 1
Answers
the boundary condition at a perfectly insulated surface is expressed mathematically as (0) -k = 0 depending on the physical characteristics of the surface.
A boundary condition is a mathematical expression that describes the behavior of a physical system at its boundaries, such as a surface.
Mathematically, a perfectly insulated surface is represented as an isothermal surface, meaning that the temperature is constant across the surface.
This is described by the equation (0) = 0, where эт represents the rate of heat transfer at the surface.
In other words, a perfectly insulated surface does not allow heat to flow through it.
This equation shows that the heat transfer is in the opposite direction of the temperature gradient at the surface.
Finally, the boundary condition at a perfectly insulated surface can also be expressed as эт (0,) -k = 0, which means that the heat transfer at the surface is equal to zero and there is no net heat transfer at the surface.
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Stuck on this question
Answers
ABD= 75
Answer:
ABD =30 +45
ABD=75
75°is the answer
Determine the time intervals (in seconds) in which the particle moves in the positive direction and the negative direction. (Enter your answers using interval notation.) positive direction ______. negative direction______.
Answers
Given that, the function s(t) describes the motion of a particle along a line. s(t) = t³ − 13t² + 35t − 220
We need to find the time intervals in which the particle moves in the positive direction and the negative direction.
The given equation is s(t) = t³ − 13t² + 35t − 220
Taking the derivative,
v(t) = s'(t) = 3t² -26t + 35 = velocity at time t
s'(t) = 3t² -26t + 35 = 0
(3t -5)(t-7) = 0
t = 5/3 and 7 seconds
Therefore, the velocity > 0 when s'(t) > 0, when t>7 or t < 5/3 seconds
velocity <0 when 5/3 < t < 7 seconds
When moving in a positive direction, the intervals :-
(-∞, 5/3) ∪ (7, ∞)
When moving in a negative direction, the interval :-
(5/3, 7)
Hence, the time intervals are; positive direction (-∞, 5/3) ∪ (7, ∞) and negative direction (5/3, 7)
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The question was incomplete, so I solved for the question;
The function s(t) describes the motion of a particle along a line.
s(t) = t³ − 13t² + 35t − 220
(a) Find the velocity function v(t) of the particle at any time t ≥ 0.
(b) Identify the time interval(s) on which the particle is moving in a positive direction. (Enter your answer using interval notation.)
(c) Identify the time interval(s) on which the particle is moving in a negative direction. (Enter your answer using interval notation.)
What is a 180 degree rotation?
Answers
Answer:
half a rotaoin
Step-by-step explanation:
think there is a crycle and you divide half and eat it and the secand half is 180 degree
Our point A(x,y) becomes A' when a point is rotated 180 degrees counterclockwise about the origin. All we actually do is turn both x and y negative.
What is the equivalent of 180 degrees in turns?A 180-degree rotation around the same central axis would put you in a position facing the opposite direction from where you were previously facing. As a result, 360°, or half of a full turn, is equal to the number of degrees in a half-turn. By dividing 360 degrees by two, we can get the number of degrees in a half-turn. We understand that a half-turn is 180 degrees.We require two 180° angles to complete a full turn. A full rotation or full turn is a 360-degree angle. Since 180 degrees makes up half of a 360-degree circle, a 180-degree angle multiplied by two or twice produces a full circle.To learn more about rotation, refer to:
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Evaluate the function at the specified values of the independent variable. Simplify the results. f(x) = 5x + 7 (a) f(-8) (b) f(0.6) (c) f(x + 9)
Answers
At the specified values of the independent variables the function is a. f(-8) = 5(-8) + 7 = - 40 + 7 = -33 b. f(0.6) = 5 (0.6) + 7 = 3 + 7 = 10 c. f (x + 9) = 5 (x + 9) + 7 = 5x + 45 + 7 = 5x + 52.
What is a function?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).
Given that the function is:
f(x) = 5x + 7
To evaluate the function at the specified values substitute the value in x:
a. f(-8) = 5(-8) + 7 = - 40 + 7 = -33
b. f(0.6) = 5 (0.6) + 7 = 3 + 7 = 10
c. f (x + 9) = 5 (x + 9) + 7 = 5x + 45 + 7 = 5x + 52
Hence, at the specified values of the independent variables the function is a. f(-8) = 5(-8) + 7 = - 40 + 7 = -33 b. f(0.6) = 5 (0.6) + 7 = 3 + 7 = 10 c. f (x + 9) = 5 (x + 9) + 7 = 5x + 45 + 7 = 5x + 52.
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How to turn -7 37/40 into a decimal
Answers
Answer:
-7.925
Step-by-step explanation:
A synthetic fiber used in manufacturing carpet has tensile strength that is normally distributed with mean 75. 5 psi and standard deviation 3. 5 psi. How is the standard deviation of the sample mean changed when the sample size is increased from?
Answers
The standard deviation of the sample mean decreases as the sample size increases. This is because the larger the sample size, the more accurately it reflects the population mean.
The standard deviation of the sample mean is a measure of how close the sample mean is to the population mean. The sample mean is an estimate of the population mean, and the standard deviation of the sample mean is a measure of how accurate that estimate is. When the sample size is increased, the sample mean becomes a more accurate estimate of the population mean, thus the standard deviation of the sample mean decreases. This is because the larger the sample size, the more accurately it reflects the population mean, and the closer the sample mean is to the population mean, the lower the standard deviation of the sample mean. The decrease in the standard deviation of the sample mean as the sample size increases is called the law of large numbers.
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A woman drives to her office 10 km away from her house at 9 a. M. And reaches her office at 9:20 a. M. She stays in the office until 6 p. M. And then returns home at 6:25 p. M. Which answer gives the correct distance and displacement at 6:25 p. M. ?.
Answers
Distance is a scalar quantity that represents the total length of the path traveled by an object . It can be thought of as the magnitude of the displacement, which is the change in position of an object.
Displacement, on the other hand, is a vector quantity that represents the change in position of an object, taking into account the direction of travel. It is the shortest distance between the initial and final position of an object.
The distance traveled by the woman is the total length of her trip from her house to her office and back. It is equal to 2 * 10 km = 20 km.
Displacement is the final position of an object relative to its initial position, taking into account only the direction, and not the distance traveled. At 6:25 PM, the woman is back at her house, which is her initial position, so her displacement is 0 km.
So the correct answer is:
Distance traveled = 20 km
Displacement = 0 km
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£13,000 was deposited in a savings account that pays simple interest.
After 17 years, the account contains £18,525.
Work out the annual interest rate of the account.
Give your answer as a percentage (%) to 1 d.p.
Answers
The formula for simple interest is: I = Prt, where P is the principal amount, r is the interest rate (as a decimal), t is the time in years, and I is the interest earned.
So, we have I = £13,000 * r * 17 years = £18,525.
Dividing both sides by £13,000 * 17:
r = £18,525 / (£13,000 * 17)
r = £18,525 / £221,000
r = 0.0838
To convert r to a percentage, multiply by 100:
r * 100 = 8.38%
So the annual interest rate of the account is 8.4% to 1 decimal place
Alex drew two lines and two transversals. He wants to know the measures of angles 1, 2, and 3. Identify the measure of each angle and the relationship used to find the angle measure.
2 vertical parallel lines, M and N, intersected by 2 transversal lines P and Q. Lines P and Q intersect each other on line N. Between lines M and N, the 2 angles formed by lines M and P are labeled 1 and one hundred thirty-five degrees, and the smaller angle formed by lines M and Q is labeled 3. The non-adjacent angles formed by lines P and Q are labeled 2 and ninety-five degrees.
m∠
1=
° because ∠
1 and the angle measuring 135° are
Choose...
angles.
m∠
2=
° because ∠
2 and the angle measuring 95° are
Choose...
angles.
m∠
3=
° because ∠
1, ∠
2, and ∠
3 form a
Choose...
.
Answers
<1 = 45 degrees- are supplementary angles.
<2 = 95 degrees - vertical angles.
<3 = 40 degrees because 1, 2, and 3 form a triangle.
What is an angle?An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.
Using the provided figure, we can
Because <1 and the angle with a measure of 135 degrees are supplementary angles, m<1 = 45 degrees.
and, Because <2 and the angle measuring 95 degrees are vertical angles, m<2 = 95 degrees.
Also, Because 1, 2, and 3 make a triangle, m<3 = 40 degrees.
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In ΔABC, a = 6 inches, � m∠A=121° and � m∠B=36°. Find the length of b, to the nearest 10th of an inch.
Answers
The length of b from the given triangle ABC is 4.1 inches.
What is sine rule?Law of Sines In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.
The formula for sine rule is sinA/a=sinB/b=sinC/c
Given that, in ΔABC, a = 6 inches, m∠A=121° and m∠B=36°.
Here, sin 121°/6=sin 36°/b
0.8571/6=0.5877/b
0.8571b=0.5877×6
0.8571b=3.5262
b=3.5262/0.8571
b=4.1 inches
Therefore, the length of b from the given triangle ABC is 4.1 inches.
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EASY ABCD QUESTION, WILL GIVE BRAINLEIST TO FIRST ANSWER,
Determine the number of solutions to the system of linear equations shown on the graph.
A. No solution
B. Infinitely many solutions
C. One solution at (−3, 2)
D. One solution at (2, −3)
Answers
The number of solutions to the system of linear equations shown on the graph is given as follows:
D. One solution at (2, −3).
How to obtain the number of solutions of the system of equations?The number of solutions of the system of equations is given by the number of times which the two functions intersect.
From the image given at the end of the answer, the two functions intersect once, at x = 2 and y = -3, hence the correct option is given by option D.
Missing InformationThe graph is given by the image presented at the end of the answer.
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y varies directly with [tex](x-2)^2[/tex] and [tex]y=\frac{5}{3}[/tex] when x=4. Write the equation for y in terms of x.
Answers
As y varies directly as (x−2)² and y = 5/3 when x = 4, then the equation for y in terms of x is y = (5/12)(x - 2)²
Direct variationIf the values of y varies directly as does of x, then there is a constant say "k" that is true for them, else y does not vary directly as x.
For y = 5/3 when = 4, we can solve for the constant k as follows:
5/3 = k(4 - 2)² {we simplify the expression in the bracket}
5/3 = k2²
5/3 = k4
k = 5/(3 × 4) {cross multiplication}
k = 5/12
Therefore, as y varies directly as (x−2)² and y = 5/3 when x = 4, the equation for y in terms of x is y = (5/12)(x - 2)²
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How do you find the t value of a 95 confidence interval?
Answers
With a significance level of 0.05 (i.e., a confidence level of 95%), the confidence interval is calculated using the T function.
As a result, the range between 190,078.9152 and 209,921.0852 is represented by the confidence interval of 200,000 9921.0848.
What is the 95 percent confidence interval's t critical value?Find the 0.025 critical value t* for 129 degrees of freedom in order to determine a 95% confidence interval for the mean based on the sample mean of 98.249 and sample standard deviation of 0.733. The critical value for 100 degrees of freedom is roughly 1.962.
Use the crucial value of t to determine a confidence interval for a mean by doing the following four steps:Depending on the degree of confidence you want to have, choose the significance level. The two-tailed t table's =.05 corresponds to the most typical confidence level of 95%.
In the two-tailed t table, determine the critical value of t.
Add s/n to the crucial value of t.
Calculate the top limit of the confidence interval by adding this value to the mean, and the lower limit by deducting this value from the mean.
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Find the values of the trigonometric functions of t from the given information. tan(t) = -12/5 , sin(t) > 0 ,sin(t),cos(t),csc(t),sec(t),cot(t).
Find the radius r of the circle if an arc of length 20 m on the circle subtends a central angle of 5
π
/7 rad. (Round your answer to two decimal places.)
Answers
The values of the trigonometric functions of t are Sin(t)=0.2, Cos(t) = -5/12, Csc(t) = 5,Sec(t) = -12/5, Cot(t) = -5/12 and the radius r of the circle if an arc of length 20 m on the circle subtends a central angle of 5π/7 rad is 8.86 m
To find the values of the trigonometric functions of t, the tan(t) value was used to calculate the sin(t) value by using the relationship sin²(t) + cos²(t) = 1. The other trigonometric functions were calculated by using the relationship among the trigonometric functions.
Sin(t) = √(1 - (tan(t))^2) = √(1 - (-12/5)^2) = √(1 - 144/25) = √(25/25 - 144/25) = √(1/25) = 0.2
Csc(t)= 1/0.2= 5
The radius of the circle was then determined by using the arc length and the angle subtended at the center. The arc length was divided by the subtended angle to find the radius. The result was rounded off to two decimal places.
Radius r = (20m)/(5π/7) = (20m*7)/(5π) = 28/π = 8.86 m
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A single die is rolled 100 times. List the probabilities below from leat to greatest. P(odd), P(>4), P(prime), P(8)
Answers
The probabilities from least to greatest are P(8), P(>4), P(odd) and P(prime).
What is probability?
Calculating probability is a method of determining how likely something is to occur. The probability scale runs from 0 to 1, where 0 denotes impossible and 1 denotes certainty.
We are given that a single die is rolled 100 times.
So, the outcomes can be {1,2,3,4,5,6}
Now,
P(odd) = Probability of odd numbers
Odd numbers are 1, 3 and 5
So, P(odd) = 3/6 = 1/2
P(>4) = Probability of numbers greater than 4
Numbers greater than 4 are 5 and 6
So, P(>4) = 2/6 = 1/3
P(prime) = Probability of prime numbers
Prime numbers are 1, 2, 3 and 5
So, P(prime) = 4/6 = 2/3
P(8) = Probability of number 8
In a dice, the maximum number is 6
So, P(8) = 0
Hence, the probabilities from least to greatest are P(8), P(>4), P(odd) and P(prime).
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Can someone PLEASE help? I will give brainliest if possible and lots of points. Show work please
Match the angle measure in the left column with its complementary angle measure in the right column. Click on the image
Answers
Answer:
Solution
or, 11°=90° {being complementary angle}
or,90°-11°
79°
Answer is 79°
nasa launches a rocket at seconds. suppose its height, in meters above sea-level, as a function of time is given by . how high above sea-level does the rocket get at its peak? round your answer to 2 decimal places. the rocket peaks at meters above sea-level.
Answers
The rocket peaks at 5000 meters above sea-level.
The height of the rocket as a function of time is given by h(t) = -5t^2 + 1000t. To find the peak, we need to find the maximum height, which can be done by taking the derivative of the function and setting it equal to zero:
h'(t) = -10t + 1000
h'(t) = 0 => t = 100
So the rocket peaks at t = 100 seconds, and to find the height at this time, we plug t = 100 into the original function:
h(100) = -5 * 100^2 + 1000 * 100 = -50000 + 10000 = 5000
Therefore, The rocket peaks at 5000 meters above sea-level.
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The rocket peaks at 5000 meters above sea-level.
The height of the rocket as a function of time is given by h(t) = -5t^2 + 1000t. To find the peak, we need to find the maximum height, which can be done by taking the derivative of the function and setting it equal to zero:
h'(t) = -10t + 1000
h'(t) = 0 => t = 100
So the rocket peaks at t = 100 seconds, and to find the height at this time, we plug t = 100 into the original function:
h(100) = -5 * 100^2 + 1000 * 100 = -50000 + 10000 = 5000
Therefore, The rocket peaks at 5000 meters above sea-level.
To learn more about functions,
brainly.com/question/12431044
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