Answer:
C
Step-by-step explanation:
60+80=140 which is definitely higher than 100-120
Answer:
C. 40-52 and 14-26
Step-by-step explanation:
The age groups that can be more than 120 in number as the 27-39 age group can only be 2 groups.
The 40-52 is an age group which has 80 in number and below it the 14-28 age group has 60 in age group.
60+80 is more than the 27-39 ager group by 20 in number. Therefore, the C. 40-52 and 14-26 age groups are the 2 groups that have more than the 27-39 age group.
Are the triangles similar? If so, what is the scale factor which converts RPQ to VAQ
A) No.
B) Yes; 1/2
C) Yes; 2/3
D) Yes; 2/1
Which of the following equations results in infinitely many solutions?
7y + 15 - 2y = 7(y + 3)
7y +3-2y = 5(y + 3)
7y + 15 = 5(y + 3)
7y + 15 - 2y = 5(y + 3)
Answer:
7y + 15 - 2y = 5(y + 3)
Step-by-step explanation:
So two equations have infinitely many solutions, when they are exactly the same equation, in their most simplified form, for example: 2x = 3x-x which simplifies to 2x=2x. So in the options, three of the options have the same equation on the right side, so I'll distribute the 5. \(5(y+3) = 5y+15\). Now let's look at the options:
7y + 3-2y
5y+3 (this is not the same as 5y + 15)
7y + 15 (this is not the same as 5y + 15)
7y + 15 - 2y
5y + 15 = 5y + 15 (this is the same)
Consider the given pseudo code. Write the function T(n) in terms of the number of operations, and then give the asymptotic (big Oh) complexity of the algorithm, show all the work you do. [ write the summation formula and solve it, or use the "Look for pattern"method. a. Matrix Multiplication
The function T(n) in terms of the number of operations is:
T(n) = 2n^3 + 3n^2 + 2n + 1 and the asymptotic complexity of the matrix multiplication algorithm is O(n^3).
To analyze the provided pseudo code for matrix multiplication and determine the function T(n) in terms of the number of operations, we need to examine the code and count the number of operations performed.
The pseudo code for matrix multiplication may look something like this:
```
MatrixMultiplication(A, B):
n = size of matrix A
C = empty matrix of size n x n
for i = 1 to n do:
for j = 1 to n do:
sum = 0
for k = 1 to n do:
sum = sum + A[i][k] * B[k][j]
C[i][j] = sum
return C
```
Let's break down the number of operations step by step:
1. Assigning the size of matrix A to variable n: 1 operation
2. Initializing an empty matrix C of size n x n: n^2 operations (for creating n x n elements)
3. Outer loop: for i = 1 to n
- Incrementing i: n operations
- Inner loop: for j = 1 to n
- Incrementing j: n^2 operations (since it is nested inside the outer loop)
- Initializing sum to 0: n^2 operations
- Innermost loop: for k = 1 to n
- Incrementing k: n^3 operations (since it is nested inside both the outer and inner loops)
- Performing the multiplication and addition: n^3 operations
- Assigning the result to C[i][j]: n^2 operations
- Assigning the value of sum to C[i][j]: n^2 operations
Total operations:
1 + n^2 + n + n^2 + n^3 + n^3 + n^2 + n^2 = 2n^3 + 3n^2 + 2n + 1
Therefore, the function T(n) in terms of the number of operations is:
T(n) = 2n^3 + 3n^2 + 2n + 1
To determine the asymptotic (big O) complexity of the algorithm, we focus on the dominant term as n approaches infinity.
In this case, the dominant term is 2n^3. Hence, the asymptotic complexity of the matrix multiplication algorithm is O(n^3).
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Find g(x), where g(x) is the translation 6 units left and 4 units up of f(x)=x2
The transformation of f(x) to g(x) is g(x) = (x + 6)² + 4
Describing the transformation of f(x) to g(x).From the question, we have the following parameters that can be used in our computation:
The functions f(x) and g(x)
Where, we have
f(x) = x²
The translation 6 units left and 4 units up means that
g(x) = f(x + 6) + 4
So, we have
g(x) = (x + 6)² + 4
This means that the transformation of f(x) to g(x) is g(x) = (x + 6)² + 4
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A sample of subjects randomly selected for an Italian study on the relation between income and whether one possesses a travel credit card (such as American Express or Diners Club) is analyzed. At each level of annual income in millions of lira, the data indicates the number of subjects sampled and the number of them possessing at least one travel credit card. (Note: one million lira at the time of the study is currently worth about 500 euros.) Software provides the following results of using logistic regression to relate the probability of having a travel credit card to income, treating these as independent binomial samples. Parameter Estimate Standard error Intercept -3.5561 0.7169
Income 0.0532 0.0131
(a) (2 marks) Report the estimated model equation. (b) (2 marks) Interpret the sign of ß. 2 (c) (3 marks) According to the estimated model equation, for which income is the probability 0.5 to have a travel credit card?
The probability of having a travel credit card is 0.5 is about 66.76 million lira or 33,380 euros.
(a) The estimated model equation is:
log(p/1-p) = -3.5561 + 0.0532*income
where p is the probability of having a travel credit card.
(b) The sign of ß (0.0532) is positive, which means that there is a positive relationship between income and the probability of having a travel credit card. As income increases, the probability of having a travel credit card also increases.
(c) To find the income level at which the probability of having a travel credit card is 0.5, we can set p = 0.5 in the model equation and solve for income:
log(0.5/1-0.5) = -3.5561 + 0.0532*income
0 = -3.5561 + 0.0532*income
income = 3.5561/0.0532
income = 66.76
Therefore, according to the estimated model equation, the income level at which the probability of having a travel credit card is 0.5 is about 66.76 million lira or 33,380 euros.
(a) The estimated model equation is given by:
log(p / (1 - p)) = -3.5561 + 0.0532 * Income
where p is the probability of having a travel credit card and Income is the annual income in millions of lira.
(b) The sign of ß (the coefficient of Income) is positive, which indicates that as the annual income increases, the probability of having a travel credit card also increases.
(c) To find the income level where the probability is 0.5, we need to solve the equation:
log(0.5 / (1 - 0.5)) = -3.5561 + 0.0532 * Income
0 = -3.5561 + 0.0532 * Income
Income = 3.5561 / 0.0532 ≈ 66.86 million lira
So, the probability of having a travel credit card is 0.5 when the annual income is approximately 66.86 million lira.
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Write the word sentence as an equation.
54 equals 9 more than a numbert.
An equation that represents this sentence is
Answer:
Step-by-step explanation:
54 equals 9 more than a number
So if we do this, we get
54 = x+9
x+9 = 54
54-9=x
54-x = 9
What is 7^3 and 2^4 equal together 50 points.
Answer:
The answer is 359
Step-by-step explanation:
7³ + 2⁴
343 + 16 = 359
Thus, The answer is 359
-TheUnknownScientist 72
Answer:
359
Step-by-step explanation:
7³+2⁴=351
7*7*7= 343
2*2*2*2= 16
343+16= 359
Which term refers to coordination, balance, and orientation in three-dimensional space?
Equilibrium is the term refers to coordination, balance, and balance in three dimensional space.
The equilibrium condition of an object exists when Newton's first law is valid. An object is in equilibrium in a reference coordinate system when all external forces (including moments) acting on it are balanced. This means that the net result of all the external forces and moments acting on this object is zero.
There are three types of equilibrium: stable, unstable, and neutral.
Examples of equilibrium in everyday life:
A book kept on a table at rest. A car moving with a constant velocity. A chemical reaction where the rates of forward reaction and backward reaction are the same.
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biologists stocked a lake with fish and estimated the carrying capacity to be . the number of fish grew to 1100 in the first year. round to 4 decimal places. a) find an equation for the fish population, , after years.
An equation for the fish population, after years is P(t) ≈ 8000e-0.664t ± 0.00005
The equation for the fish population in a stocked lake can be determined using exponential growth.
The formula for exponential growth is
P(t) = \(P_0\)ert
where P(t) is the population after time t,
\(P_0\) is the initial population,
r is the rate of growth, and
e is the mathematical constant approximately equal to 2.71828.
The carrying capacity, K, is the maximum population that can be supported by the environment, and it is a limiting factor for population growth. When the population reaches K, the growth rate slows down until it reaches a point of equilibrium.
The carrying capacity can be estimated using a variety of methods, including the logistic model, which incorporates the carrying capacity into the equation for population growth.
However, for this problem, we are given an estimate of the carrying capacity, which we will use in the exponential growth equation.
We are also given the initial population,
\(P_0\) = 1100, and we are asked to find an equation for the fish population, P(t), after t years.
The rate of growth, r, can be determined using the following formula:
r = ln(P/K) / t
where ln is the natural logarithm, and t is the time it takes to reach the carrying capacity, K.
Since we don't have an exact value for K, we will use the estimated value of 8000.
Thus,
r = ln(1100/8000) / 1
r ≈ -0.664
The negative sign indicates that the population is decreasing, since the growth rate is negative.
Therefore, the equation for the fish population after t years is:
P(t) = 8000e-0.664t
To round to 4 decimal places, we can use the formula:
P(t) ≈ 8000e-0.664t ± 0.00005
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Use the graph of the polynomial function to find the factored form of the
related polynomial. Assume it has no constant factor.
5
A. (x + 1)(x - 7)
B. (x + 1)(x + 7)
C. (x - 1)(x - 7)
D. (x - 1)(x + 7)
Answer:
The answer is
(x-1) (x-9)
The factored form of the related polynomial function is \((x-1)(x+7).\)
What is polynomial function ?Polynomial function is a function that involves non-negative integer powers or positive integer exponents of a variable in an equation like the quadratic equation, cubic equation.
We have,
In the graph given in question, we can see that \(x-\)intercepts the axis twice.
And graphs behave differently at various \(x-\)intercepts. Sometimes the graph will cross over the \(x-\)axis at an intercept and other times the graph will touch the \(x-\)axis and bounce off.
Now, in graph;
The \(x-\)intercept at \(x=1\), i.e. the solution of the \(x-1=0\) and passes through the axis.
Now,
The \(x-\)intercept at \(x=7\) is the solution of \(x-7=0\) and again passes through the axis.
So, from the above statements we can say that the factored form of the related polynomial is \((x-1)(x+7).\)
Hence, we can say that the factored form of the related polynomial function is \((x-1)(x+7).\)
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A recipe Carmen is making calls for 4 cups of milk. She has 1 liter of milk. Her sister says she has enough milk. Is her sister correct? Explain.
Units of Capacity Conversion Chart
1 pt = 2 c
1 qt = 2 pt
1 gal = 4 qt
1 gal 3.79 L 1 qt 0.95 L
Answer:
Step-by-step explanation:
Yes, Carmen's sister is correct because 1 liter equals 4.227 (rounded) so yes carmen would have enough milk.
Carmen's sister statement is wrong because 4 cups of milk contain 0.95 L milk
What is unit conversion?By changing the unit of measurement, a quality can be expressed differently. In contrast to distance, which can be stated in miles, kilometers, feet, or any other unit of length, time can also be expressed in minutes rather than hours.
Given that,
Carmen has 4 cups of milk,
and her sister says it is equal to 1 liter of milk.
1 pt = 2 c,
1 qt = 2 pt,
1 gal = 4 qt,
1 gal = 3.79 L
and 1 qt = 0.95 L
Since 1 pt = 2 cup
And 1 qt = 2 pt ⇒ 1 pt = 1/2 qt
Implies that,
1/2 qt = 2 cups
1 qt = 4 cups
Also, 1qt = 0.95 L
Implies that,
4 cups = 0.95 L
So the quantity in 4 cups is 0.95 L.
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ANSWER ASAP FOR BRANINETEST
Answer:
2 3/5
Step-by-step explanation:
Simply change the 1st fraction into improper form:
17/5 - 4/5
Then subtract
13/5
Then write into mixed fraction
2 3/5
Answer:
13/5 or 2 3/5
Step-by-step explanation:
if 15 out of the 200 patients admitted to a hospital remain longer than a week, how many of the 2800 admissions in a given year were relaeased within one week
Answer:
15 × 14 = 210 of the 2,800 admitted patients remained longer than a week, so 2,800 - 210 = 2,590 of those patients were released within one week.
what is the probability that a single card drawn from a standard deck of cards is either an 8 or a heart?
The probability that a single card drawn from a standard deck of cards is either an 8 or a heart is 4/13.
Probability of an event E denoted by P(E) is defined as (number of favorable outcomes )/( total number of outcomes).
For example : the probability of getting Head in single toss of an unbiased coin. P(H)=1/2.
According to the given question
Total number of cards in a standard deck of cards is 52.
There are 4 suit in a deck each having 13 card each.
number of 8 card in a deck = 4
Number of hearts in a deck = 13-1=12 (-1 because 8 of heart is counted before.)
number of favorable cases of getting either an 8 or a heart is 4+12=16.
The probability of getting either an 8 or a heart is \(\frac{16}{52} =\frac{4}{13}\).
Therefore , the probability that a single card drawn from a standard deck of cards is either an 8 or a heart is 4/13.
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Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.)
an = n2/(sqrt(n^(3) + 7n))
lim n→[infinity] an =
In simpler terms, as the value of n becomes larger and larger, the sequence terms become smaller and smaller. Eventually, the terms get arbitrarily close to 0, indicating convergence to 0 as the limit.
To determine whether the sequence \({an} = n²/(√(n³ + 7n))\)converges or diverges, we need to find the limit as n approaches infinity.
Let's simplify the expression by dividing both the numerator and denominator by n:
\(an = n²/(√(n³ + 7n)) = (n/n) * (n/n) / (√(n²/n + 7))\)
Simplifying further, we have:
\(an = (1/n) * (n/n) / (√(1/n + 7))\)
Taking the limit as n approaches infinity, we can see that 1/n and n/n both approach zero:
lim n→∞ (1/n) = 0
lim n→∞ (n/n) = 1
The term √(1/n + 7) becomes √(0 + 7) = √7 as n approaches infinity.
Thus, we have:
lim n→∞ an = (0 * 1) / √7 = 0 / √7 = 0
Therefore, the sequence {an} converges, and its limit as n approaches infinity is 0.
It's worth noting that the sequence converges to zero because the numerator (n²) grows at a slower rate than the denominator (√(n³ + 7n)).
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Identify the like terms in the expression.
Answer:D
The answer is D.
Step-by-step explanation:
Like terms are only related to the variable at the end, and the variable also has to have the same exponent or it is not a like term.
can anyone help with this please? 20 points
Answer:
8
Step-by-step explanation:
2^2=4
so 2^3=8
What is 72 Divided by 2 =??
Answer:
36 my dude
Step-by-step explanation:
What is the slope of the line between (1, 5) and (3, 9)
is it A, B, C, or D?
A) M=-2
B) M=1/2
C) M=2
D) M=-1/'2
Answer:
C
Step-by-step explanation:
9-5=4
3-1=2
4/2=2
solve each of these inequations.
4x-9>3x+1
Answer:
x>10
Step-by-step explanation:
4x-9>3x+1
4x>3x+10
x>10
any number greater than 10.00 works
open to feedback or further questions :]
justin went to the track at bobcat stadium and performed the 1.5-mile run test to estimate his vo2max. he completed 1.5 miles in 11 minutes and 25 seconds. what is his estimated vo2max? round your answer to the first decimal place.
3Justin's estimated Vo2 max is 25.8(mL*kg*min)
What is Vo2 max ?
The amount (volume) of oxygen used by your body while exercising as hard as you can is referred to as VO2 max. It's a common tool for determining your level of fitness. Knowing your VO2 max can assist you in training for sports, tracking fitness progress, and improving your heart health.
Here using vo2 max fomula 1.5 miles ,
=> VO2 max = 3.5+483/Time
Here Time= 11 min 25 sec = 25/60 = 0.41 min
Then time=11.42 mins. Now,
=> VO2 max = 3.5+ 483/11.41
=> VO2 max = 3.5+42.3
=>VO2 max = 25.8(mL*kg*min)
Hence His estimated Vo2 max is 25.8(mL*kg*min)
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John bought 9.25m of cloth for Php 425.50. Find the cost price per metre. *
A. Php 26.00
B. Php 36.00
C. Php 46.00
D. Php 56.00
John spent Php 425.50 on 9.25 metres of fabric. The cost price per metre will be Php 46.00.
The correct answer is "C. Php 46.00".
The cost price per meter can be calculated by dividing the total cost of the cloth by the number of meters bought. In this case, the total cost of the cloth is Php 425.50 and the number of meters bought is 9.25.
Dividing the total cost by the number of meters, we get:
Php 425.50 ÷ 9.25 = Php 46.00
So, the cost price per meter is Php 46.00.
It's important to know the cost price of a product when buying in bulk, as it helps in determining the profit margin. Understanding the cost price also enables a person to negotiate better prices and make informed purchasing decisions. Additionally, keeping track of the cost price and other expenses can help in managing finances effectively.
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f(x) = -3x + 3
f(-2) = [?]
Help
is this the answer you're looking for? I'm sorry I'm confused
josh is standing on the top of a building that is 425 feet tall. He throws a penny up into the air with an initial of 32 ft/sec. How long does it take for the penny to hit the ground?
Y = -4.9x^2 + 32x + 425
A. 10 seconds
B. 6.25
C. 400
D. 0 seconds
Answer:
A
Step-by-step explanation:
cause it will be more faster just because it is in a solid phase or it is solid
The time taken to hit the ground is 6.25 sec.(Option B)
How to calculate time?
It is given that penny follows the trajectory:
\(y = -4.9x^2 + 32x + 425\)
Differentiating it we get:
\(\dfrac{dy}{dx} =-9.8x+32\)
At y=425, it is obvious that x=0
So dy/dx at x=0 is 32.
Now the vertical component of the velocity is 32sinФ (where Ф is the angle at which penny is thrown).
Ф\(=\tan^{-1}(32)\)
Vertical component=\(32*\sin(\tan^{-1}(32))\)=31.98 ft/sec
Now applying the equation of motion: acceleration=-32ft/sec^(2)
u=31.98ft/sec s=-425 t=?
\(s=ut+\frac{1}{2} at^{2}\)
\(-425=31.98t-16t^2\)
\(16t^2-31.98t-425=0\)
Solving the quadratic equation we get:
t=6.249 sec≅6.25 sec
Therefore, the time taken is 6.25 sec.
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pls help if you can asap!!!!
Answer: A
Step-by-step explanation: I would say A because the angle is greater than 90 degrees
Answer:
We have supplementary angles.
76 + 3x + 2 = 180
3x + 78 = 180
3x = 102
x = 34
given f (x)=-x+4 find f (0)
Answer: f(0)= 4
Step-by-step explanation:
First you need to plug 0 in for x
f (x)=-x+4 -> f(0)= -(0)+4
next solve:
f(0)= -(0)+4
0*-1 = 0
f(0)= 4
The correct answer is f(0)= 4.
Hope this helps!
Slopes. Pls help me with 1-4 tell me the answers thankssss
1. The slope of each object are: a) 0.6. b) 1.375.
2. The slope of the road section is 0.02.
3. No, a wheelchair ramp with a vertical rise of 1.4 m along a horizontal run of 8 m does not satisfy the regulation.
4. The slope of each line segment are: a) 0.6. b) -0.6.
How to calculate or determine the slope of a line?In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = rise/run
By substituting the given data points into the formula for the slope of a line, we have the following;
Part 1
Slope of a = 3/5
Slope of a = 0.6
Slope of b = 4.4/3.2
Slope of b = 1.375
Part 2.
Slope of road section = 2.5/152
Slope of road section = 0.0165 ≈ 0.02.
Part 3.
Slope of wheelchair ramp = 1.4/8
Slope of wheelchair ramp = 0.0175 ≈ 0.02.
Part 4.
a) The rise for graph a is 3 units.
The run for graph a is 5 units.
Slope of graph a = 3/5
Slope of graph a = 0.6
b) The rise for graph b is -3 units.
The run for graph b is 5 units.
Slope of graph b = -3/5
Slope of graph b = -0.6
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A = (1, 3, 5, 7, 9)
B = {2, 4, 6, 8, 10)
C = (1, 5, 6, 7, 9)
A U B=
Answer: Choice C) integers from 1 to 10 inclusive
==============================================================
Explanation:
The "U" means "set union". We form a larger set that contains any number that's in set A, set B, or both.
So,
A U B = {stuff from set A, stuff from set B}
A U B = {1,3,5,7,9, 2,4,6,8,10}
A U B = {1,2,3,4,5,6,7,8,9,10}
A U B = set of integers from 1 and 10 inclusive
That makes choice C the final answer.
Choice B is very close to it, but that verbally describes the set {2,3,4,5,6,7,8,9} which leaves out 1 and 10. The "inclusive" makes sure to involve the endpoints 1 and 10, as well as everything in between.
simplifica: 49/90, se puede????
Answer:
49/90 is simplified
Step-by-step explanation:
Answer:
Step-by-step explanation:
49/90
(1 point) For each of the following integrals find an appropriate trigonometric substitution of the form x = f(t) to simplify the integral. A. [(5x (5x² – 2)3/2 dx – X = b. X2 dx 4x2 + 6 X = C. | xV5x + 50x + 118dx X = d. El 19-50 х dx –119 – 5x2 + 50x X =
All Trigonometric Expressions:
a. ∫5x * \((5x^{2} - 2)^{(3/2)\)dx = ∫2sin³θ cos²θ dθ
b. ∫\(x^{2} dx/(4x^{2} + 6)\)= ∫tan²θ sec²θ dθ
c. ∫x√(5x + 50)/(x + 118)dx = ∫(5tan²θ – 25)tanθ sec³θ dθ
d. ∫(19 – 50x)/(119 – 5x² + 50x)dx = -2∫dθ/(25tan²θ + 94)
a. The integral ∫5x * \((5x^{2} - 2)^{(3/2)\)dx, we can use the substitution x = (2/5)sinθ. This gives dx = (2/5)cosθ dθ and 5x² – 2 = 5(2/5 sinθ)² – 2 = 2cos²θ. Substituting these expressions into the integral, we get:
∫5x * \((5x^{2} - 2)^{(3/2)\)dx
= ∫2sin³θ cos²θ dθ
b. For the integral ∫x²dx/(4x² + 6), we can use the substitution x = tanθ. This gives dx = sec²θ dθ and 4x² + 6 = 4tan²θ + 6 = 2sec²θ. Substituting these expressions into the integral, we get:
∫x²dx/(4x² + 6) = ∫tan²θ sec²θ dθ
c. For the integral ∫x√(5x + 50)/(x + 118)dx, we can use the substitution
x + 25 = 5tan²θ.
This gives x = 5tan²θ – 25 and dx = 10tanθ sec²θ dθ, and
5x + 50 = 25sec²θ. Substituting these expressions into the integral, we get:
∫x√(5x + 50)/(x + 118)dx
= ∫(5tan²θ – 25)tanθ sec³θ dθ
d. For the integral:
∫(19 – 50x)/(119 – 5x² + 50x)dx,
we can use the substitution
5x – 5 = √(50x – 5)tanθ.
This gives x = (1/10)[(tanθ)² + 1] and
dx = (1/5)(tanθ sec²θ) dθ, and 119 – 5x² + 50x
= (25tan²θ + 94)².
Substituting these expressions into the integral, we get:
∫(19 – 50x)/(119 – 5x² + 50x)dx
= -2∫dθ/(25tan²θ + 94)
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Correct Question:
For each of the following integrals find an appropriate trigonometric substitution of the form x = f(t) to simplify the integral.
a. ∫5x * ∫5x * \((5x^{2} - 2)^{(3/2)\)dx
b. ∫\(x^{2} dx/(4x^{2} + 6)\)
c. ∫x√(5x + 50)/(x + 118)dx
d. ∫(19 – 50x)/(119 – 5x² + 50x)dx