Answer:
8u + 3
Step-by-step explanation:
the 6u and 2u are like terms, so they can be added. the 3 must stay on its own though, as it does not have a u in front of it:)
Perform the indicated operation.
-10 + 15
a) -25
b) 25
c) -5
d) 5
Answer: d)
-10 + 15 = 5
Answer:
D. 5
Step-by-step explanation:
-10 + 15 Can be rewritten as 15-10
15-10=5
The answer is 5.
Hope this helps!
Please mark as brainliest if correct!
Simplify -3x + 7y + 21y - 12x
Answer:
-15x + 28y
Step-by-step explanation:
-3x + 7y + 21y - 12x
= -15x + 28y
Answer:
-15x+28y
Step-by-step explanation:
Use Euclid's first book to prove what specific quadrilaterals are produced by perpendicular, unequal, bisecting diagonals.
By using Euclid's first book, we can prove that the quadrilateral produced by perpendicular, unequal, bisecting diagonals is a kite. A kite is a quadrilateral with two pairs of adjacent sides that are equal in length. In this case, the two pairs of adjacent sides are formed by the diagonals bisecting the quadrilateral into four smaller triangles with equal areas.
According to Euclid's first book, when two lines intersect at a right angle (perpendicular), they form four right angles. In the case of a quadrilateral with perpendicular, unequal, bisecting diagonals, the diagonals intersect at a right angle and divide the quadrilateral into four smaller triangles with equal areas.
1. Draw a quadrilateral with perpendicular, unequal, bisecting diagonals.
2. Label the points where the diagonals intersect as A, B, C, and D.
3. Label the point where the diagonals intersect as E.
4. Use Euclid's first book to prove that the angles at E are all right angles.
5. Use Euclid's first book to prove that the four triangles formed by the diagonals are congruent (equal in area).
6. Use the definition of a kite to prove that the quadrilateral is a kite (two pairs of adjacent sides are equal in length).
7. Therefore, the quadrilateral produced by perpendicular, unequal, bisecting diagonals is a kite.
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PLS HELP WILL GIVE BRAINLIEST AND 20 POINTS TY!
Answer: It is B)
Step-by-step explanation: It was 8.66 something and that rounded to the nearest tenth is 8.7
Answer:
B. 8.7
Step-by-step explanation:
the closest one is but the actual number is 8.6 repeating so 8.7 is correct
Please help me, it's really needed.
Which parameter is often associated with enzyme affinity for substrates? \( k_{1} \) \( k_{-1} \) \( k_{2} \) \( K_{m} \)
The parameter often associated with enzyme affinity for substrates is Km.
Km, also known as the Michaelis constant, is a parameter commonly used to quantify the affinity of an enzyme for its substrate. It is an important parameter in enzyme kinetics and plays a crucial role in determining the efficiency of an enzyme-substrate interaction.
Km represents the substrate concentration at which the rate of the enzymatic reaction is half of its maximum velocity (Vmax). In other words, enzymes with lower Km values have higher affinity for their substrates, as they can achieve half of their maximum velocity at lower substrate concentrations. Therefore, Km serves as an indicator of the enzyme's ability to bind and convert substrates into products efficiently.
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The mean is the measure of central tendency most likely to be affected by an outlier.
The measure of central tendency most likely to be affected by an outlier is the mean.
The mean is calculated by summing all the values in a dataset and dividing by the total number of values. Since the mean takes into account every value in the dataset, it is sensitive to extreme values or outliers. An outlier is a value that significantly deviates from the other values in the dataset.
When an outlier is present in the dataset, its extreme value can heavily influence the sum of all values and consequently impact the calculation of the mean. This is because the mean is directly affected by the magnitude of each value, and outliers can greatly skew the overall average. Even a single outlier can pull the mean towards its extreme value.
In contrast, other measures of central tendency, such as the median and mode, are less affected by outliers. The median represents the middle value when the dataset is ordered, so extreme values do not influence it as much. The mode represents the most frequently occurring value and is not influenced by outliers unless the outlier itself becomes the mode.
Therefore, when there is an outlier present in a dataset, the mean is the measure of central tendency that is most likely to be affected, while the median and mode provide more robust measures in such cases. It is important to consider the presence of outliers and choose the appropriate measure of central tendency accordingly.
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Joan bought 705 crayons that came in packs of 15. How many packs of crayons did Joan buy?
Answer:
47 packs
Step-by-step explanation:
705 divided by 15 is 47
5.6.AP-1
Solve the inequality.
3 + 4x> 27
Answer:
The answer is X>6
if you click the image it will show the steps to solving the inequality. hope this helps.
a utility company burns coal to generate electricity. they capture 85% of the pollutants coming out of their smoke stacks. the engineers developed a model for the cost of capturing the pollutants, c, as a function of the percentage of the pollutants captured, p: determine the additional cost of trying to capture 90% of the pollutants.
The additional cost of trying to capture 90% of the pollutants is simply 5% of the value of A.
To determine the additional cost of trying to capture 90% of the pollutants, we need to use the model for the cost of capturing pollutants, which is given as a function of the percentage of pollutants captured. Let's assume that the cost function is of the form:
c(p) = Ap + B
where A and B are constants that depend on the specifics of the capture technology and the company's operations.
We are told that the company currently captures 85% of the pollutants, so the cost of capturing pollutants at this level is:
c(0.85) = A(0.85) + B
To determine the additional cost of trying to capture 90% of the pollutants, we need to calculate the difference between the cost of capturing pollutants at 90% and the cost of capturing pollutants at 85%. This is given by:
c(0.90) - c(0.85) = [A(0.90) + B] - [A(0.85) + B]
= A(0.05)
Therefore, the additional cost of trying to capture 90% of the pollutants is simply 5% of the value of A. Note that we don't need to know the specific values of A and B to calculate this additional cost; we just need to know the percentage increase in the level of pollutants captured.
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Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x)=x² Inx² +4 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The function is decreasing on the open interval(s) The function is never increasing. (Simplify your answer. Use a comma to separate answers as needed. Type your answer in interval notation. Type an exact answer.) OB. The function is increasing on the open interval(s) The function is never decreasing. (Simplify your answer. Use a comma to separate answers as needed. Type your answer in interval notation. Type an exact answer.) OC. The function is decreasing on the open interval(s) and increasing on the open interval(s) (Simplify your answers. Use a comma to separate answers as needed. Type your answers in interval rotation. Type exact answers.) D. The function is never increasing or decreasing.
Given, f(x) = x² In x² + 4To find, The intervals on which f is increasing and the intervals on which it is decreasing.
Let's find the derivative of f(x) using the product rule of differentiation.
Using the product rule, we have;dy/dx = d/dx (x² In x² + 4)dy/dx = d/dx (x²)In x² + x² (d/dx(In x²)) + d/dx (4)dy/dx = 2x In x² + x² * 2/x + 0dy/dx = 2x In x² + 2
Now we know that, if the derivative is positive, the function is increasing and if the derivative is negative, the function is decreasing. If the derivative is zero, then it is an extreme value. To find intervals of increase and decrease, we need to find when the derivative equals 0.dy/dx = 2x In x² + 2 = 0On solving for x, we get;x = e^(-1/2)
Now we can form a number line;On the interval, x < e^(-1/2), dy/dx < 0, which means the function is decreasing.On the interval, x > e^(-1/2), dy/dx > 0, which means the function is increasing.Therefore, The function is decreasing on the open interval(s) (0, e^(-1/2)) and increasing on the open interval(s) (e^(-1/2), ∞).
Hence the correct option is OC. The function is decreasing on the open interval(s) and increasing on the open interval(s) (0, e^(-1/2)), (e^(-1/2), ∞).
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Write an expression in simplest form for the perimeter of a right triangle with leg lengths of 3a^3 and 4a^3.
An expression is __a^3.
The expression of the perimeter of the right triangle is 12a³
What is perimeter?Perimeter is the distance around the edge of a shape. Learn how to find the perimeter by adding up the side lengths of various shapes.
Therefore , if the three sides of a triangle is represented by a, b,c then the perimeter = a+b+c.
The hypotenuse of the triangle =
√(3a³)² + 4a³)²
= √ 9a⁶+16a⁶
= √ 25a⁶
= 5 a³
therefore the perimeter of the triangle =
5a³ + 3a³ + 4a³
= 12a³
therefore the perimeter of the triangle is 12a³
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choosing the pivot row by requiring that the ratio associated with that row be the smallest non-negative number ensures that the iteration will not take us from a feasible point to a non-feasible point.
Answer:
This statement is true.
In the simplex method, choosing the pivot row involves selecting a row with a negative value in the right-hand column and dividing the elements in the last column by the corresponding elements in the selected row to obtain the ratios. The row with the smallest non-negative ratio is then chosen as the pivot row.
By choosing the pivot row in this way, we ensure that the new solution will still be feasible, meaning that all the constraints will still be satisfied. This is because choosing the smallest non-negative ratio ensures that the new solution will not violate any of the non-negativity constraints.
Therefore, requiring that the ratio associated with the pivot row be the smallest non-negative number is an important step in the simplex method to ensure that the iteration will not take us from a feasible point to a non-feasible point.
Step-by-step explanation:
This statement is true when using the simplex method to solve a linear programming problem.
In the simplex method, we start with a feasible solution and iteratively improve it until we reach an optimal solution. At each iteration, we choose a pivot row and a pivot column to pivot around. The pivot row is chosen based on the ratio of the right-hand side value to the coefficient of the entering variable in that row. This ratio is called the pivot ratio.
Choosing the pivot row with the smallest non-negative pivot ratio ensures that we pivot to a new feasible solution. This is because the pivot row represents a constraint in the linear programming problem, and the pivot ratio represents how much we can increase the value of the entering variable while still satisfying that constraint. If the pivot ratio is negative, it means that increasing the entering variable would violate the corresponding constraint, and so we cannot pivot in that direction.
Therefore, by choosing the pivot row with the smallest non-negative pivot ratio, we ensure that we pivot in a direction that preserves feasibility and does not take us to a non-feasible point.
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Write 0.4444 as a fraction in lowest terms:
Answer:
1111/2500
Step-by-step explanation:
a representative of a car manufacturer in the united states made the following claim in a news report. ten years ago, only 53 percent of americans owned american-made cars, but that figure is significantly higher today. a research group conducted a study to investigate whether the claim was true. the group found that 56 percent of a randomly selected sample of car owners in the united states owned american-made cars. a test of the appropriate hypotheses resulted in a p-value of 0.283. assuming the conditions for inference were met, is there sufficient evidence to conclude, at the significance level of a
There isn't enough evidence to indicate that the percentage of Americans who own American-made cars is more than 53 percent.
A representative of a car manufacturer in the United States claimed that 53 percent of Americans owned American-made cars ten years ago.
However, today, the percentage is higher.
A research group conducted a study to find out whether the statement was true.
They found out that 56 percent of a random sample of car owners in the United States owned American-made cars. The appropriate hypothesis test produced a p-value of 0.283.
Assuming the conditions for inference were satisfied, is there sufficient evidence to conclude, at the level of significance of α = 0.05
At α = 0.05, we want to see if there is enough evidence to reject the null hypothesis.
Therefore, since α = 0.05, the null hypothesis (H0) should be tested against the alternative hypothesis (Ha).
H0: μ ≤ 0.53 (The percentage of Americans who own American-made cars is no higher than 53%).
Ha: μ > 0.53 (The percentage of Americans who own American-made cars is higher than 53%).
It is clear that the researcher's claim was not supported by the evidence since the p-value of 0.283 was far above the significance level of α = 0.05.
Therefore, there is no statistically significant evidence to reject the null hypothesis (H0).
The research group discovered that 56 percent of a randomly selected sample of car owners in the United States owned American-made cars.
The null hypothesis states that the percentage of Americans who own American-made cars is no higher than 53 percent.
Since the p-value was greater than 0.05, we failed to reject the null hypothesis.
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Is y=(x/3) an inverse or direct variation
Answer: y=x3 is a direct variation.
Step-by-step explanation:
Please Help!
I don't understand how to work out this question.
∠XBC is 55 degrees because it is corresponding to ∠AXY..
The angle ∠BXC is 70 degrees
How to find angles in parallel lines?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, linear angles, same interior angles, vertically opposite angles etc.
Therefore, XY and BD are parallel lines.
XB = XC
ΔXBC is an isosceles triangle.
Therefore, ∠XBC is 55 degrees because it is a corresponding angle to ∠AXY.
Let's find ∠BXC.
Therefore, the base angles of an isosceles triangle are congruent.
Hence,
∠XBC = ∠BCX = 55 degrees
Therefore,
55 + 55 + ∠BXC = 180
110 + ∠BXC = 180
∠BXC = 180 - 110
∠BXC = 70 degrees
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Suppose that the miles-per-gallon (mpg) rating of passenger cars is a normally distributed random variable with a mean and a standard deviation of 33.8 and 3.5 mpg, respectively. Use Table 1.
a. What is the probability that a randomly selected passenger car gets more than 35 mpg?
b. What is the probability that the average mpg of four randomly selected passenger cars is more than 35 mpg?
c. If four passenger cars are randomly selected, what is the probability that all of the passenger cars get more than 35 mpg?
the probability that a randomly selected passenger car gets more than 35 mpg is approximately 0.3665.
the probability that the average mpg of four randomly selected passenger cars is more than 35 mpg is approximately 0.087
the probability that all of the passenger cars get more than 35 mpg is approximately 0.015.
We need to find \(P(X > 35),\) where X is the mpg rating of a randomly selected passenger car.
The standard normal distribution and Table 1, we have:
\(z = (35 - 33.8) / 3.5 = 0.34\)
\(P(X > 35) = P(Z > 0.34) = 0.3665\)
\(P(\bar X > 35)\), were \(\bar X\) is the sample mean mpg rating of four randomly selected passenger cars.
The population standard deviation, we use the t-distribution with \(n-1\) degrees of freedom (were \(n = 4\)) and Table 1. We have:
\(t = (35 - 33.8) / (3.5 / \sqrt(4)) = 1.83\)
Using Table 1 with 3 degrees of freedom (\(n-1 = 4-1\)), we find:
\(P(T > 1.83) = 0.087\)
We need to find \(P(X1 > 35\) and \(X2 > 35\) and \(X3 > 35\) and \(X4 > 35\)), where X1, X2, X3, and X4 are the mpg ratings of four randomly selected passenger cars.
Since the mpg ratings of the four cars are independent and identically distributed, we have:
\(P(X1 > 35\)and\(X2 > 35\) and \(X3 > 35\) and \(X4 > 35\)) =\(P(X > 35)^4\)
From part (a), we know that\(P(X > 35) = 0.3665.\)
\(P(X1 > 35\)and \(X2 > 35\) and\(X3 > 35\) and \(X4 > 35) = 0.3665^4 \approx 0.015\)
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the area of the conference table in mr. Nathan's office must be no more than 175 ft^2. if the length of the table is 18ft more than the width,x, which interval can be possible widths?
Answer:
x is less than or equal to 7
Step-by-step explanation:
i need the answer to thisssssss im confused please help thank youuuuuu
Answer:
light blue
Step-by-step explanation:
Kathy ell ome pie at a bakery he cut each pie into 6 piece to ell individually he ell 5/6 of a pie each hour How many whole pie did Kathy ell in 36 hour?
Step-by-step explanation:
she sell 5piece out of 6 per hour
for 36 hour, she sell:
5 × 36 = 180piece of pie
one pie is cut to 6 piece
180/6 = 30pie
Calculating the Number of Periods [LO4] You expect to receive $39,000 at graduation in two years. You plan on investing it at 10 percent until you have $174,000. How long will you wait from now? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Period years
You would need to wait approximately 51.33 years from now to grow your initial investment of $39,000 to $174,000 at an interest rate of 10% per year.
To calculate the number of periods (years) required to grow an initial investment to a desired future value, we can use the formula for compound interest:
FV = PV * \((1 + r)^n\)
Where:
FV is the future value
PV is the present value (initial investment)
r is the interest rate per period
n is the number of periods
In this case:
PV = $39,000
FV = $174,000
r = 10% per year
Let's calculate the number of periods (years):
FV = PV * \((1 + r)^n\)
174,000 = 39,000 * \((1 + 0.10)^n\)
Divide both sides by 39,000:
4.4615 = \((1.10)^n\)
Take the logarithm of both sides to solve for n:
log(4.4615) = n * log(1.10)
n ≈ log(4.4615) / log(1.10)
n ≈ 2.1270 / 0.0414
n ≈ 51.33 (rounded to two decimal places)
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Plzzzzzzzzz i need help
Answer:
Area = base x height
Step-by-step explanation:
8X11=88sq
Answer:
88 units^2
Step-by-step explanation:
The area of a parallelogram can be found using he following formula:
a=b*h
where b is the base and h is the height.
We know that 11 units is the base and 8 units is the height (forms a right angle with one of the bases).
b= 11 units
h= 8 units
Substitute these values into the formula.
a= 11 units * 8 units
Multiply
a= 88 units^2
The area of the parallelogram is 88 square units.
find all solutions of the given equation. (enter your answers as a comma-separated list. let k be any integer. round terms to two decimal places where appropriate.) 4 sin() − 1 = 0
4sinθ - 1 = 0`. We need to find all the solutions of the given equation. Now, let us solve the equation:
\(4sin\theta - 1 = 0 \\ 4sin\theta = 1 \\sin\theta = 1/4\)
We know that the general solution of the equation `sinθ = k` is given by \(`\theta = n\pi + (-1)n\alpha `\), where `k` is any integer and `α` is the principal value of `sin⁻¹k`.
Therefore, \(sin^-1(1/4) = 0.2527\) (rounded to four decimal places)Putting k = 1/4, we get\(\theta = n\pi + (-1)n\ sin^_1 (1/4)\) for any integer `n`. \(\theta = n\pi + (-1)n\ sin^_1(1/4)\) for any integer `n`. To solve the given equation 4sinθ - 1 = 0, we first need to express the equation in the form of `sinθ = k`.
Then, we use the general solution of the equation `sinθ = k`, which is given by \(`\theta = n\pi + (-1)n\alpha\), where `k` is any integer and `α` is the principal value of `sin⁻¹k`. For the given equation, we get \(sin\theta = 1/4\). The principal value of \(`sin^_1(1/4)\)` is 0.2527 (rounded to four decimal places).
Therefore, the general solution of the equation \(4sin\theta - 1 = 0\ is `\theta = n\pi + (-1)n\ sin^-1(1/4)\)` for any integer `n`. The solutions of the given equation \(4sin\theta - 1 = 0\ are `\theta = n\pi + (-1)n\ sin^-1 (1/4)`\)for any integer `n`.
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Moses volunteer at an animal shelter with 4 dogs. He has 14 dog treats. He gives each dog the same number of treats, and gives as many treats as he can. How mangy treats does Moses give each dog? How many treats are left?
Which of the following describes the arrangement of network cabling between devices?
a. Logical topology
b. Networking technology
c. Physical topology
d. Media access method
Answer:
Physical means the actual wires. Physical is concerned with how the wires are connected. Logical is concerned with how they transmit.
a. Logical
Step-by-step explanation:
...
The arrangement of network cabling between devices is a physical topology. which is the correct answer would be option (C).
What is the Physical topology?The physical configuration of a network, such as the physical arrangement of wires, media (computers), or cables, is referred to as its topology. A link can connect two or more devices, and when the number of connections reaches two, they constitute a physical topology.
A physical network diagram depicts the connecting of devices via cables or wireless links. A logical network diagram, on the other hand, depicts data and signal transfer throughout a network.
Therefore, the arrangement of network cabling between devices is a physical topology.
Hence, the correct answer would be an option (C).
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Complete the following statement: In two-dimensional motion in the x-y plane, the x part of the motion and the y part of the motion are independent...
The completed statement based on two-dimensional motion in the x-y plane can be presented as follows;
The two-dimensional motion in the x-y plane, the x part of the motion and the y part of the motion are independent, whether or not there is an acceleration in any direction. The correct option is therefore;
D) Whether or not there is an acceleration in any direction
How can two-dimensional motion be analyzed?Two-dimensional motion in the x-y plane can be analyzed by separating them into its horizontal (x) and vertical (y) components, and analyze each component using the one dimensional equations of motion.
The meaning of the motion on the x-y plane is that the x-direction motion of an object exclusive or excludes the effect of the motion of the object in the y-direction, vis a vis, the y-direction motion.
The horizontal and vertical components of the motion can be analyzes individually or by themselves, by making use of the equations of motion for a one-dimensional motion, whether or not there is an acceleration in any direction as the acceleration are also evaluated using one dimensional equations.
The possible options in the question from a similar question on the internet are;
A) When there is no acceleration in any direction
B) When there is no acceleration in one direction
C) Only when an acceleration is present in both directions
D) Whether or not there is an acceleration in either direction
E) Only when the acceleration is in the y-direction
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A frequency distribution in which there are too many scores at the extremes of the distributionsaid to be:Select one:a. Leptokurticb. negatively skewedc. Platykurticd. positively skewed
A frequency distribution in which there are too many scores at the extremes of the distribution is said to be platykurtic distribution.
What is frequency distribution?
Frequency tables or charts are used to represent frequency distributions.
Frequency distributions can display the proportion of observations or the actual number of observations that fall inside each range. The distribution is known as a relative frequency distribution in the latter case.
We are given a frequency distribution in which there are too many scores at the extremes of the distribution
This distribution is said to be platykurtic distribution because a distribution with a negative excess kurtosis value is referred to as "platykurtic." Since there are fewer extremely positive or negative events, a platykurtic distribution will have thinner tails than a normal distribution.
Hence, this type of distribution is said to be platykurtic distribution.
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As a quality inspector for an automobile manufacturer, you record the gap between adjacent side panels on several cars as follows: 6.7, 6.1, 6.2, 6.7, 6.5, 6.4, 6.3, and 6.1 millimeters. The standard deviation of these data is 0.23, and the range is 0.6.
Which measure of center is most appropriate, and what is the value of the measure of center?
mean; 6.375
median; 6.375
mean; 6.4
median; 6.6
mode; 6.7
Note that the most appropriate measure of center in this case is the median, as it is less affected by extreme values. The value of the median is 6.4.
What is median?The median is the value that separates the upper and lower halves of a data sample, population, or probability distribution in statistics and probability theory. It is sometimes referred to as "the middle" value in a data collection.
The median is the value in the center of a set of data. First, arrange and sort the data in ascending order from smallest to largest.
Divide the number of observations by two to obtain the midway value. If there are an odd number of observations, round that number up to the next whole number, and the value in that location is the median.
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21
a
f
h XUY
23
O
O 5 tan t
Ot cot t
Rewrite and simplify g(x) with the given subsititution* (5 Points)
5x
g (x)
2 sint (assume 0 < t < 7)
4-x²
10 sin t
2-2 sin 1
O None of these expressions
O I don't know.
O
24
Find all solutions for t (in radians) of the given equation on the interval [0,2n)* (5 Points)
8 sin 2t + sint = 0
Answer:
Step-by-step explanation:
Make the substitution first for x:
\(\frac{5(2sint)}{\sqrt{4-(2sint)^2} }\) and simplify a bit:
\(\frac{10sint}{\sqrt{4-4sin^2t} }\). Factor a 4 out of the expression under the radical:
\(\frac{10sint}{\sqrt{4(1-sin^2t)} }\) and pull out the perfect square in 4 as a 2:
\(\frac{10sint}{2\sqrt{1-sin^2t} }\) and divide 10 by 2 to get:
\(\frac{5sint}{\sqrt{1-sin^2t} }\)
Our Pythagorean trig identity tells us that
\(sin^2(t)+cos^2(t)=1\) so
\(1-sin^2(t)=cos^2(t)\). Make that substitution:
\(\frac{5sint}{\sqrt{cos^2t} }\) The denominator can be simplified (the squaring of the square root each cancel out), leaving us with:
\(\frac{5sint}{cost}\). Sin over cos is the same as tangent, so our final simplification is
5tan(t)