If i get a 70% does that count at 2.0 gpa

The postfix expression of "7+5-3*2(6*7)/4" is "7 5 + 3 2 * 6 7 * 2 * - 4 /". Evaluating the postfix expression gives the result of the expression. The prefix expression for the given infix expression is "/ - + 7 5 * 3 * 2 ( * 6 7 ) 4".

To convert the infix expression "7+5-3*2(6*7)/4" into postfix expression, we follow the rules of operator precedence and associativity. The postfix expression is obtained by placing operators after their operands.

The postfix expression for the given infix expression is:

"7 5 + 3 2 * 6 7 * 2 * - 4 /"

To evaluate the postfix expression, we use a stack data structure. We scan the postfix expression from left to right and perform the corresponding operations.

Starting with an empty stack, we encounter the operands "7" and "5". We push them onto the stack. Then we encounter the operator "+", so we pop the last two operands from the stack (5 and 7), perform the addition operation (7 + 5 = 12), and push the result back onto the stack.

We continue this process for the remaining operators and operands in the postfix expression. Finally, after evaluating the entire expression, the result left on the stack is the final answer.

To convert the infix expression into prefix expression, we follow similar rules but scan the expression from right to left. The prefix expression is obtained by placing operators before their operands.

The prefix expression for the given infix expression is:

"/ - + 7 5 * 3 * 2 ( * 6 7 ) 4"

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Answer:

301.44 ft

Step-by-step explanation:

The given system of differential equations is:

y1' = y1 + 3y2

y2' = 3y1 + y2

We need to verify that the functions:

y1(t) = c1e^(ut) + c2e^(-2t)

y2(t) = c1ue^(ut) - c2e^(-2t)

satisfy the system. In part (a), we find the value of each term in the equation y1' = y1 + 3y2 in terms of the variable f. In part (b), we find the value of each term in the equation y2' = 3y1 + y2 in terms of the variable f.

(a) To find the value of each term in y1' = y1 + 3y2, we differentiate y1(t) with respect to t. The derivative of c1e^(ut) is c1ue^(ut), and the derivative of c2e^(-2t) is -2c2e^(-2t). Thus, we have:

y1' = c1ue^(ut) - 2c2e^(-2t) + 3(c1ue^(ut) - c2e^(-2t))

Combining like terms, we get:

y1' = (2c1u + 3c1u)e^(ut) + (-2c2 - 3c2)e^(-2t)

(b) Similarly, we differentiate y2(t) with respect to t. The derivative of c1ue^(ut) is c1u^2e^(ut), and the derivative of c2e^(-2t) is -2c2e^(-2t). Thus, we have:

y2' = c1u^2e^(ut) - 2c2e^(-2t) + 3(c1e^(ut) + c2e^(-2t))

Combining like terms, we get:

y2' = (c1u^2 + 3c1)e^(ut) + (-2c2 + 3c2)e^(-2t)

Therefore, the value of each term in y1' = y1 + 3y2 is given by:

Term 1: (2c1u + 3c1)e^(ut)

Term 2: (-2c2 - 3c2)e^(-2t)

And the value of each term in y2' = 3y1 + y2 is given by:

Term 1: (c1u^2 + 3c1)e^(ut)

Term 2: (-2c2 + 3c2)e^(-2t)

These results verify that the functions y1(t) and y2(t) satisfy the given system of differential equations.

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The answer is: A) seasonal variations, Seasonal variations in time-series data refer to regularly repeating upward or downward movements tied to recurring events. hese patterns occur over fixed periods, such as daily, weekly, monthly, or yearly cycles.

In time-series data, seasonal variations are regularly repeating upward or downward movements in series values that can be tied to recurring events.

These variations occur over a fixed period, such as daily, weekly, monthly, or yearly cycles. Seasonal variations can be observed in various phenomena, including sales data, weather patterns, and economic indicators.

By identifying and analyzing seasonal variations, patterns and trends can be detected, helping to make predictions and informed decisions.

Seasonal variations are commonly represented using seasonal indices or seasonal adjustment techniques to remove the effects of seasonality and better understand the underlying trends in the data.

Understanding and accounting for seasonal variations are crucial for accurate forecasting and decision-making in various fields.

Hence, the correct option is (A) seasonal variations.

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There are different ways to approach this question, but one possible method is to conduct a one-sample t-test using the formula t = (M - μ) / (s / sqrt(n)), where M is the sample mean, μ is the population mean (null hypothesis), s is the sample standard deviation, and n is the sample size. With the given information, the t-value is (1.6 - 0) / (0.8 / sqrt(16)) = 8.

The degrees of freedom is n - 1 = 15. Using a t-table or a calculator, the p-value for a one-tailed test with 15 degrees of freedom and a t-value of 8 is much smaller than .05 (e.g., < .0005). Therefore, we can reject the null hypothesis and conclude that women find a sense of humor to be important in a long-term relationship at a .05 level of significance. The correct answer is b.

Test 2 is associated with smaller critical values. The critical values for a t-test depend on the level of significance, the degrees of freedom, and whether the test is one-tailed or two-tailed. In general, a smaller level of significance or a larger sample size leads to smaller critical values (i.e., it becomes easier to reject the null hypothesis). Since Test 2 has a larger sample size than Test 1, it is more likely to detect a significant effect (i.e., have a smaller Type II error rate), and therefore requires smaller critical values to achieve a .05 level of significance. The correct answer is b.

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Therefore, the rank of matrix 'a' in this case would be 5.

To find the rank of a matrix, we need to perform row reduction to obtain its row echelon form (REF) or reduced row echelon form (RREF). However, since the matrix 'a' is not provided, I cannot perform the calculations or determine its rank.

The rank of a matrix is equal to the number of non-zero rows in its row echelon form or reduced row echelon form. If the system of equations 'ax = 0' has a two-dimensional solution space, it means that the rank of matrix 'a' is less than the number of columns (6) but greater than 4 (since the solution space is two-dimensional).

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On solving the provided question, we can say that the function's value

\(limx→4+f(x)=6lim⁡x→4+f(x)=6\)

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

function's value will be -

limx→4+f(x)

=6lim⁡x→4+f(x)

=6

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Complete question is: The table above gives values of the function fat selected values of \($\mathrm{x}$\). Which of the following statements must be true?

\($$\text { A } \lim _{x \rightarrow 2} f(x)=3$$\)

\($$B \lim _{x \rightarrow 2} f(x)=8$$\)

\(C\ $\lim _{x \rightarrow 2} f(x)$ does not exist.\)

\(D\ $\lim _{x \rightarrow 2} f(x)$\) cannot be definitively determined from the data in the table.

Answer:

Charge 26, 78, 130, 182, 234

Step-by-step explanation:

If Heads is (1,3,5,7,9) CHARGE and charge is (26,0,0,0,0) if 1 head=26 then you can just multiply or use repetitive addition if you were to multiply do 3x26=78, 5x26=130, 7x26=182, and 9x26=324. If you were to use repetitive addition do 26+26+26=78, 26+26+26+26+26=130, 26+26+26+26+26+26+26=182, and 26+26+26+26+26+26+26+26+26=234.

I hope it helps!

~XxBells is a cute girlxX~

The determinant of the matrix A can be determined by cofactor expansion along the third column. The result is det(A) = 10

We can use the cofactor expansion method to find the determinant of a matrix. In this method, we choose a row or column and then expand the determinant of the matrix by cofactors of the elements in that row or column. The cofactor of an element is the determinant of the submatrix that is formed by removing the row and column that the element is in.

In this case, we are given the matrix A and we are told to use the 3rd column expansion. This means that we will expand the determinant of A by cofactors of the elements in the 3rd column. The cofactor of an element in the 3rd column is the determinant of the submatrix that is formed by removing the 3rd column and the row that the element is in.

The cofactor of the element A[1,3] is the determinant of the submatrix that is formed by removing the 3rd column and the 1st row. This submatrix is a 2x2 matrix and its determinant is 1. The cofactor of the element A[2,3] is the determinant of the submatrix that is formed by removing the 3rd column and the 2nd row. This submatrix is also a 2x2 matrix and its determinant is -3. The cofactor of the element A[3,3] is the determinant of the submatrix that is formed by removing the 3rd column and the 3rd row. This submatrix is a 1x1 matrix and its determinant is 5.

The determinant of A is then given by:

det(A) = A[1,3] * cofactor(A[1,3]) + A[2,3] * cofactor(A[2,3]) + A[3,3] * cofactor(A[3,3])

= 1 * 1 + (-3) * (-3) + 5 * 5

= -10

Therefore, the determinant of the matrix A is det(A) = -10.

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Formula of parabola for given values is F(x) = 7.5(x^2-15.7x+61.32)

The general equation of a parabola in math is: y = a(x-h)^2 + k ,where (h,k) denotes the vertex. The standard equation of a the parabola is y^2 = 4ax.

We have, horizontal intercepts x=8.4 and x=7.3, passes through point(0, 8.2)

As we parabola is quadratic function,

f(x) = a(x-8.4)(x-7.3)

It is passing through the point (0, 8.2)

8.2 = a(-8.4)(-7.3)

a = 8.2/61.32 =7.5 (approx)

Now, equation of parabola is

F(x) = 7.5(x-8.4)(x-7.3)

f(x) = 7.5(x^2-7.3x-8.4x+61.32)

F(x) = 7.5(x^2-15.7x+61.32)

Thus, required equation of parabola is F(x) = 7.5(x^2-15.7x+61.32).

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The momentum of a proton would be:

(a) For particle moving with speed 0.010c

p = 5.016 × 10^(-21) kgms^{-1}

p = 9.398 MeV/c

(b) For particle moving with speed 0.50c

p = 2.89 × 10^(-19) kgms^{-1}

p = 541.5 MeV/c

(c) For particle moving with speed 0.90c

p = 23.73 × 10^(-19) kgms^{-1}

p = 4446.35 MeV/c

For given question,

We need to calculate the momentum of a proton moving with a given speed.

We know that, the equation for relativistic momentum is,

\(p=\frac{mv}{\sqrt{1-\frac{v^2}{c^2} } }\)

We know, the mass of proton (m) = \(1.67\times 10^{-27}\) kg

(a) For particle moving with speed 0.010c

v = 0.010c

the momentum of a proton would be,

\(\Rightarrow p=\frac{(1.67\times 10^{-27}kg)\times (0.010\times 3\times 10^8)\frac{m}{s} }{\sqrt{1-\frac{0.01^2~c^2}{1^2~c^2} } }\\\\\Rightarrow p=5.016\times 10^{-21}~~kgms^{-1}\)

(b) For particle moving with speed 0.50c

v = 0.50c

the momentum of a proton would be,

\(\Rightarrow p=\frac{(1.67\times 10^{-27}kg)\times (0.50\times 3\times 10^8)\frac{m}{s} }{\sqrt{1-\frac{0.5^2~c^2}{1^2~c^2} } }\\\\\Rightarrow p=2.89\times 10^{-19}~~kgms^{-1}\)

(c) For particle moving with speed 0.90c

v = 0.90c

the momentum of a proton would be,

\(\Rightarrow p=\frac{(1.67\times 10^{-27}kg)\times (0.90\times 3\times 10^8)\frac{m}{s} }{\sqrt{1-\frac{0.90^2~c^2}{1^2~c^2} } }\\\\\Rightarrow p=23.73\times 10^{-19}~~kgms^{-1}\)

Now, we need to convert answers into MeV/c

1 MeV = 1.6 × 10^(-13) kg.m²/s²

⇒ 1  kg.m²/s² = 625 × 10^(10) MeV

1 c = 299,792,458 m/s

⇒ 1 m/s = 3.3356E-9 c

So, 1  kg. m/s = 1.8737259e+21 MeV/c

(a) For p = 5.016 × 10^(-21) kgms^{-1}

⇒ p = 5.016 × 10^(-21) × 1.8737259e+21

⇒ p = 9.398 MeV/c

(b) For p = 2.89 × 10^(-19) kgms^{-1}

⇒ p = 2.89 × 10^(-19) × 1.8737259e+21

⇒ p = 541.5 MeV/c

(c) For p = 23.73 × 10^(-19) kgms^{-1}

⇒ p = 23.73 × 10^(-19) × 1.8737259e+21

⇒ p = 4446.35 MeV/c

Therefore, the momentum of a proton would be:

(a) For particle moving with speed 0.010c

p = 5.016 × 10^(-21) kgms^{-1}

p = 9.398 MeV/c

(b) For particle moving with speed 0.50c

p = 2.89 × 10^(-19) kgms^{-1}

p = 541.5 MeV/c

(c) For particle moving with speed 0.90c

p = 23.73 × 10^(-19) kgms^{-1}

p = 4446.35 MeV/c

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The equivalent equation to the equation 0.6 + 15b + 4 = 25.6 are 15b + 4 = 25,3(0.6 + 15b + 4) = 76.8 and 15b = 21 thus option (B),(C) and (E) is correct.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

As per the given equation,

0.6 + 15b + 4 = 25.6

Subtract both sides by 0.6

0.6 -0.6 15b + 4 = 25.6 - 0.6

15b + 4 = 25

Now, in the equation 0.6 + 15b + 4 = 25.6 multiply by 3

3(0.6 + 15b + 4) = 3 × 25.6 = 76.8

Now, in equation  0.6 + 15b + 4 = 25.6 subtract both side by 4.6

0.6 + 15b + 4  - 4.6 = 25.6 - 4.6

15b = 21

Hence "The equivalent equation to the equation 0.6 + 15b + 4 = 25.6 are 15b + 4 = 25,3(0.6 + 15b + 4) = 76.8 and 15b = 21".

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The solutions to the system of equations are (2, -1) and (-2,3)

The equations are given as:

\((x - 2)^2 + (y - 3)^2 = 16\)

x  + y - 1 = 0

Make y the subject in x  + y - 1 = 0

y = 1 - x

Substitute y = 1 - x in \((x - 2)^2 + (y - 3)^2 = 16\)

\((x - 2)^2 + (1 - x - 3)^2 = 16\)

Evaluate

\((x - 2)^2 + (-x - 2)^2 = 16\)

Expand the equations

\(x^2 - 4x + 4 + x^2 + 4x + 4 = 16\)

Evaluate the like terms

\(2x^2 + 8 = 16\)

Subtract 8 from both sides

\(2x^2 = 8\)

Divide by 2

\(x^2 = 4\)

Take the square roots of both sides

x = ±2

Substitute x = ±2 in y = 1 - x

y = 1 - 2 = -1

y = 1 + 2 = 3

Hence, the solutions to the system of equations are (2, -1) and (-2,3)

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Answer:

x=203/18

Step-by-step explanation:

convert the decimal into a fraction

203/50/x = 9/50 / 1/2

simply the complex fraction:

203/50x = 9/25

cross multiply

450x = 5075

divide both sides by 450:

x= 203/18

Answer:

X=11.2778

Step-by-step explanation:

4.06/X=0.18/0.5

cross multiply

0.18×X=4.06×0.5

0.18X=2.03

divide both sides by 0.18

0.18X/0.18=2.03/0.18

it becomes

X=2.03/0.18

X is therefore 11.2778

The probability that exactly 5 out of 10 households in the random sample are wireless-only is approximately 0.2164 or 21.64%.

To find the probability that exactly 5 out of 10 households are wireless-only, we can use the binomial probability formula.

The binomial probability formula is given by:

P(X = k) = (\(^{n}C_k\)) × \(p^k\) × \((1 - p)^{(n - k)\)

Where:

P(X = k) is the probability of exactly k successes

n is the total number of trials

k is the number of desired successes

p is the probability of success in a single trial

In this case, n = 10, k = 5, and p = 0.41 (the probability of a household being wireless-only).

Using the formula, we can calculate the probability:

P(X = 5) = (\(^{10}C_5\)) × \((0.41)^5\) × \((1 - 0.41)^{(10 - 5)\)

Using a combination calculator, we find that (10 C 5) = 252.

P(X = 5) = 252 × \((0.41)^5\) × \((0.59)^5\)

Calculating this expression, we find that P(X = 5) ≈ 0.2164.

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Answer:

Apple A

Step-by-step explanation:

Apple A 6.90/6 = 1.15 lb

Apple B 12oz/ (16oz or 1lb) =3/4   .90/(3/4) =1.2lb

Apple C 0.45/(1/4)= 1.8lb

When an auditor uses monetary-unit sampling to examine the total value of invoices, each invoice has a probability proportional to its monetary value of being selected.

Monetary unit sampling (MUS) refers to a statistical sampling method utilized to determine if the account balances or monetary amounts in a population contain any misstatements in an account of transaction. Auditors use monetary unit sampling, which is also known as probability-proportional-to-size sampling or dollar-unit sampling, to establish the accuracy of financial accounts. With monetary unit sampling, each dollar in a transaction is a separate sampling unit. When an auditor uses monetary-unit sampling to examine the total value of invoices, each invoice has a probability proportional to its monetary value of being selected.

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Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

A TO THE P TO THE E TO THE X

Answer:

I think it's 7- 2i over 3. hopefully that helps

Answer:

below

Step-by-step explanation:

assuming r=5 and center (0,0)

1.) point at (0,0) for center

2.) point at (5,0)

3.) point at (0,5)

4.) point at (-5,0)

5.) point at (0,-5)

trace around points 2-5 to get the 4pt circle

Answer:

43, 45, 36

Step-by-step explanation:

2a

43+x+x+51=180 [Sum of angles of a triagle]

2x=180-43-51

x=86/2

x=43

2b

x+90=135 [The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle]

x=45

2c

x+2x=108 [The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle]

3x=108

x=108/3

x=36

The SymPy function that is used to display a graph of a mathematical function is plot().

SymPy is a Python library for symbolic mathematics that aims to become a full-featured computer algebra system while keeping the code as easy as possible in order to be comprehensible and easily extensible.

A plot is a graphical representation of a function or data set that is drawn in a coordinate plane. It allows you to see patterns and trends in your data that may not be apparent from looking at a list of numbers. SymPy is a Python library for symbolic mathematics that includes the plot() function for generating plots of mathematical functions.

To illustrate, the following code generates a plot of the function y = x^2 over the domain [-5,5].

Code:from sympy import plot, symbols, cosx = symbols('x')plot(x**2, (x, -5, 5))

The plot() function has the following arguments:

x: The mathematical expression for the function to plot.

(x, a, b): The tuple specifying the variable x and the domain [a,b].

The plot() function also accepts a number of other optional parameters for customizing the plot, such as the title, labels, and line style.

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Answer:

about 6

Step-by-step explanation:

a^2 + b^2 = c^2

5^2 + 4^2 = c^2

25 + 16 = 41

sqrt of 41 = about 6.403

round that down to 6.

Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)

Answer:

The cost for Issac to  swim for 12 months is $250.

Hence, option 'B' is true.

Step-by-step explanation:

Given that the gym pass costs $30 for the first month, so

Each month after that, the cost is $20 per month, so the sequence becomes

a₁, a₂, a₃, a₄, a₅, ...

30, 50, 70, 90, 110, ...

An arithmetic sequence has a constant difference 'd' and is defined by  

\(a_n=a_1+\left(n-1\right)d\)

computing the differences of all the adjacent terms

\(50-30=20,\:\quad \:70-50=20,\:\quad \:90-70=20,\:\quad \:110-90=20\)

The difference between all the adjacent terms is the same and equal to

\(d=20\)

now, we have

so substituting a₁ = 30 and d = 20 in the nth term of the sequence

\(a_n=a_1+\left(n-1\right)d\)

\(a_n=20\left(n-1\right)+30\)

\(a_n=20n+10\)

Thus, the nth term of the sequence is:

\(a_n=20n+10\)

Determining the cost for Issac to  swim for 12 months:

As we have already determined the nth term of the sequence such as

\(a_n=20n+10\)

now substituting n = 12

\(a_{12}=20\left(12\right)+10\)

\(a_{12}=240+10\)

\(a_{12}=250\)

Therefore, the cost for Issac to  swim for 12 months is $250.

Hence, option 'B' is true.

Answer:

7

Step-by-step explanation:

42/6=7

Answer:

Step-by-step explanation:

It is true that the slope of the horizontal tangent line to the parametric curve at a point (x(t), y(t)) is given by dy/dx = (dy/dt)/(dx/dt).

The statement is saying that if f(g(t)) has a horizontal tangent at t = 1, then the curve has a well-defined tangent line at that point, which is also a horizontal tangent. Let's break this down step by step:

f(g'(1)) = 0: This means that the derivative of f with respect to its input g(t) is equal to zero at t = 1. In other words, the slope of the tangent line of f(g(t)) at t = 1 is zero.

dx/dt is not zero at t = 1: This means that the curve g(t) has a well-defined tangent line at t = 1, because the slope of the tangent line of g(t) is not infinite (i.e., the derivative dx/dt is defined and finite).

Setting dy/dx = 0 gives dy/dt / dx/dt = 0: This is using the chain rule of differentiation to relate the derivative of f with respect to t (i.e., dy/dt) to the derivative of f with respect to x (i.e., dy/dx) and the derivative of g with respect to t (i.e., dx/dt).

dy/dt = 0 when dx/dt is not zero: Since dy/dx = 0 and dx/dt is not zero, we can conclude that dy/dt must also be zero at t = 1. This means that the slope of the tangent line of f(g(t)) is also zero at t = 1.

Therefore, the curve has a horizontal tangent at t = 1: Since both g(t) and f(g(t)) have horizontal tangents at t = 1, we can conclude that the curve f(x) also has a horizontal tangent at x = g(1). This means that the tangent line to the curve at that point is horizontal.

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For each 16 unit increase in x, you get a 6 unit increase in y.

So, you can approach this with the idea of slope (change in y over change in x) to have a slope of 6/16 or 3/8.

y = 3/8 x

This checks out with all of those values.