Calcul
Limites, dérivées, optimisation et comportement des fonctions.
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the exponential function f is defined by f(x) = ab^x, where a and b are…
$\frac{18}{100}$ or $0.18$
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the area of a rectangular region is increasing at a rate of 18,000 squa…
0.003
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17 the function ( f ) is defined by the given equation, where ( k ) is …
B. \( g(x) = k(1.83^x)^4 \)
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solving exponential equation this is a multi - part item. to solve the …
The first step is to isolate the exponential term by adding 7 to both sides of the equation, resulting in $2^{x-1}=16$. The final solution for $x$ is $\boldsymbol{5}$.
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13 a quadratic function models the height, in feet, of an object above …
1200
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what is the true solution to $3\\ln 2 + \\ln 8 = 2\\ln (4x)$?\ $x = 2$\…
$x = 2$
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what is the value of $e^{ln 7x}$? 7 7e 1 7x
D. $7x$
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what is the true solution to the equation? $2\\ln e^{\\ln 2x} - \\ln e^…
$x = 75$
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what is the value of $ln e^4$? 1 2 0 4
4
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what is the range of the function $y = 4e^x$? all real numbers less tha…
all real numbers greater than 0
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what is the true solution to $3\\ln 2 + \\ln 8 = 2\\ln (4x)$?\ $x = 2$\…
$x = 2$
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determine if the function below has a horizontal or a slant asymptote, …
# Explanation: ## Step1: Identify degrees of numerator and denominator First, we find the degree of the numerator and the denominator. For the numerator \( -15x^{3}-3 + 25x^{2}\),…
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determine if the function below has a horizontal or a slant asymptote, …
# Explanation: ## Step1: Identify degrees of numerator and denominator First, we find the degree of the numerator and the denominator. For the numerator \( -15x^{3}-3 + 25x^{2}\),…
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which of the following shows the graph of $y = 2e^x$?
The top graph (the one with the red curve starting near (0,2), approaching 0 as x goes to negative infinity, and increasing towards positive infinity as x goes to positive infinit…
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find the equation of the slant asymptote of the rational function given…
The equation of the slant asymptote is \(y = x-7\)
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what is the true solution to $2\\ln e^{\\ln 5x} = 2\\ln 15$?\ $x = 3$\ …
$x = 3$
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find the equation of the slant asymptote of the rational function given…
The equation of the slant asymptote is \(y = x-7\)
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module: 25sm-mt-t16 m2 1 in the (xy)-plane, the graph of the equation (…
C. \( y = 3^x - 6 \)
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evaluate f(2) f(2) = enter an integer or decimal number more... questio…
\( f(2) = -3 \)
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what is the slope of the line that passes through the points (-9, 10) a…
$-\frac{3}{4}$
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draw a line representing the ise\ and a line representing the un\ of th…
The slope of the line is $\frac{1}{5}$. *(For the rise/run lines: Plot a vertical segment from $(0, -2)$ to $(0, 0)$ for rise, and a horizontal segment from $(0, 0)$ to $(10, 0)$ …
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write the answer for each problem. if you dont know how to work the pro…
$55$ $4\frac{1}{6}$ $3$ $-61$ $12\frac{5}{6}$ $\frac{1}{360}$ $1566$ $12.7$ $2$ $-7$ $-16375$ $11.73$ $-14$ $\frac{3}{4}$ $11$
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solve the following system of equations graphically on the set of axes …
The solution to the system of equations is \( (2,2) \)
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solve the following system of equations graphically on the set of axes …
The solution is \((2,5)\)
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solve the following system of equations graphically on the set of axes …
The solution is \( (-3, 0) \)
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solve the following system of equations graphically on the set of axes …
The solution is \((4, 3)\)
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solve the following system of equations graphically on the set of axes …
The solution is \( (-3, 6) \)
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solve the following system of equations graphically on the set of axes …
The solution of the system of equations (the point of intersection of the two lines) is \((-6,1)\)
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solve the following system of equations graphically on the set of axes …
The solution to the system of equations is \( (2,3) \)
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answers must be written as fractions in simplified form, but you only n…
For $x=-2$: - $\frac{2}{3}x = -\frac{4}{3}$ - $y = \frac{2}{3}x + 2 = \frac{2}{3}$
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if f(x) is decreasing on (-∞,-2.67) and (2,∞) but increasing on (-2.67,…
Critical points where slope is zero
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which step comes first in a standard algorithm for graphing a polynomia…
Determine end behavior of the graph
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what does an x-intercept of h(x) represent in the roller coaster contex…
A distance where height is zero yards
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x³ - 5x² + 11x - 15
$(x-3)(x^2 - 2x + 5)$
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the structure of state government the state legislatures branch the leg…
B. the power to tax
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use the following function rule to find f(20). $f(x) = \\frac{x}{20}$ $…
1
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use the following function rule to find f(104). $f(x) = \\frac{x}{8}$ $…
13
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plot the point on this function with an x - value of 10.
The point to plot is $(10, 1)$ (located at the intersection of the vertical line through $x=10$ and the curve, which aligns with $y=1$ on the y-axis).
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plot the point on this function with a y-value of 4. what is the x-valu…
5
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let g be a twice differentiable function. which of the labeled points a…
C. C
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let g be a twice differentiable function. which of the labeled points a…
C. C
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6. y + 5 = -6(x + 7)
The equation in slope - intercept form is \(y = - 6x-47\)
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qualifications of executive and judicial technically, there are no offi…
life
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qualifications of congress candidates of the senate must meet the follo…
6 years
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what was the framers main reason for creating a strong federal governme…
They wished to limit government by dividing its power.
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article 3 - judicial branch - establishes the supreme court - provides …
B. Federal judges can be impeached by Congress.
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the seven articles of the constitution the main body of the constitutio…
to prevent abuses of authority by dividing powers among branches
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in 1908, the supreme court ruled in muller v. oregon that state laws co…
D. state laws could limit working hours for women.
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5. $y - 11 = 3(x + 4)$ 6. $y + 5 = -6(x + 7)$ 8. $y + 2 = \\frac{1}{6}(…
s: 5. \(y = 3x+23\) 6. \(y=-6x - 47\) 8. \(y=\frac{1}{6}x-\frac{8}{3}\) 9. \(y =-\frac{3}{4}x-12\)
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english documents that helped shape america though independent, the uni…
The king was overthrown and executed.
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unlimited and limited governments different structures of government in…
bills of rights
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types of rule governments come in three main types: dictatorships, olig…
by forcibly taking control or being born into power
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given the following exponential function, identify whether the change r…
Decay, 68% decrease
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given the following exponential function, identify whether the change r…
Decay, 68% decrease
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3 functions f and a are defined by these equations: $f(x) = 80 - 15x$ $…
\( A(x) \) ### Problem 4 #### Part a
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question given the following exponential function, identify whether the…
Decay, 9% decrease
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the goal of perestroika was to ○ reform the soviet economy. ○ limit cho…
increase Soviet factory and farm production.
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1 match each equation with a description of the function it represents.…
for Problem 1: - A - 3 - B - 1 - C - 4 - D - 2 ### Problem 2: Perimeter of a Square #### Part (a): Completing the Table The perimeter of a square is given by \( P = 4 \times \text…
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question 15 1 pts which of the following is not an example of scarcity?…
A. Doug has an unlimited supply of apples in his orchard.
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b. \\(\\frac{\\frac{2 - x - h}{1 + x + h} - \\frac{2 - x}{1 + x}}{h}\\)
\(\frac{-3}{(1 + x)(1 + x + h)}\)
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given the function below, fill in the table of values, use the table of…
### Completed Table: | $x$ | $x+1$ | $y=2^{x+1}$ | |-----|-------|-------------| | $-3$ | $-2$ | $\frac{1}{4}$ | | $-2$ | $-1$ | $\frac{1}{2}$ | | $-1$ | $0$ | $1$ | | $0$ | $1$ |…
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kuta software - infinite algebra 1 graphing absolute value functions gr…
1. Graph with vertex at $(2, -4)$, passing through $(0,-2)$ and $(4,-2)$ 2. Graph with vertex at $(-1, 0)$, passing through $(0,1)$ and $(-2,1)$ 3. Graph with vertex at $(0, 1)$, …
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given the function below, fill in the table of values, use the table of…
### Completed Table: | $x$ | $2^x$ | $y=2^x+1$ | |-----|-------|-----------| | $-2$ | $\frac{1}{4}$ | $\frac{5}{4}$ | | $-1$ | $\frac{1}{2}$ | $\frac{3}{2}$ | | $0$ | $1$ | $2$ | …
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directions: use this information to answer parts a, b, and c. susan div…
The expression with a whole - number divisor is \(\frac{3808}{2380}\) (dividend is 3808, divisor is 2380)
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given the function below, fill in the table of values, use the table of…
### Completed Table: | $x$ | $x+2$ | $y=2^{x+2}$ | |-----|-------|-------------| | $-4$ | $-2$ | $\frac{1}{4}$ | | $-3$ | $-1$ | $\frac{1}{2}$ | | $-2$ | $0$ | $1$ | | $-1$ | $1$ …
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find the functions range. enter your answer in interval notation.
$[-15, 6]$
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find the functions domain. enter your answer in interval notation.
$(-5, 9)$
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16. 计算：$-2^{3}-|1-sqrt{2}|-sqrt3{-8}\timessqrt{(-3)^{2}}$
$-1-\sqrt{2}$
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15. $sqrt{16} + sqrt3{-64} - sqrt{(-3)^2} + |1 - sqrt{3}|$
$\sqrt{3}-4$
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question 6 which of the following is equivalent to $(sin\\theta + \\cos…
$1 + 2\sin\theta\cos\theta$
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question 2 which of the following is equal to $sec\\theta \\cdot \\cot\…
$\csc\theta$ (the second option)
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find the domain and range of the relation. write in interval notation d…
Domain: $\boldsymbol{[-5,-5] \cup [8,8] \cup [9,9]}$ Range: $\boldsymbol{[7,7] \cup [8,8] \cup [9,9]}$
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11. 计算：$(-2)^2 + |sqrt{3} - 2| - sqrt{3^2} - sqrt3{8}$
$1-\sqrt{3}$
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multiply: 1. $\begin{array}{r}2.1\\× 0.76\\hlineend{array}$ 2. $\begin{…
\( 1.596 \) ### Problem 2: \( \boldsymbol{52.4 \times 4.5} \)
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1 four functions here are descriptions and equations that represent fou…
A - 3, B - 2, C - 4, D - 1 ### Sub - question 2:
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the final simplified expression should be.\ \\(\\frac{1}{\\sin x \\cos …
The mistake is $\cot x$ was written as $\frac{\sin x}{\cos x}$ instead of $\frac{\cos x}{\sin x}$. The final answer is $\tan x$.
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multiply: 1. $\begin{array}{r}2.1\\× 0.76\\hlineend{array}$ 2. $\begin{…
\( 1.596 \) ### Problem 2: \( \boldsymbol{52.4 \times 4.5} \)
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function a and function b are linear functions. function a graph of fun…
The true statements are: - The slope of Function A is less than the slope of Function B. - The y - intercept of Function A is greater than the y - intercept of Function B. (In box…
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7. the cube root parent function is vertically stretched by a factor of…
\( y=-6\sqrt[3]{x + 5}+2 \) ### Question 8
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function a and function b are linear functions. function a y = \\frac{1…
The true statements are: - The y-intercept of Function A is less than the y-intercept of Function B. - The slope of Function A is less than the slope of Function B.
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evaluate the expression. 1 ( 7 + 6 \times 2 = ) ______\t\t2 ( 0.25 \tim…
19 ### Problem 2: \( 0.25 \times 16 + 4 \)
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which of the following are typically disadvantages of using cash? high …
- Cannot use online - Must have the money at time of purchase
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review this quote from the decision in marbury v. madison. it is emphat…
It explains that the Supreme Court should decide whether a law or action is constitutional.
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government which is the best definition of \supremacy\? limitless power…
B. highest authority (assuming the options are labeled A: limitless power, B: highest authority, C: greater aptitude, D: superior judgment)
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how might the decision in mcculloch v. maryland make future supreme cou…
The Court could spend more time interpreting the intent of the Constitution rather than simply following it to the letter.
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no additional details were added for this assignment. a relation is plo…
The rate of change is \(2\) and the initial value is \(3\).
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1 0.09 - 0.072 = 2 82.456 - 50.03 = ______ 3 53.5 - 0.094 = ______ 4 12…
\( 0.018 \) ### Problem 2: \( 82.456 - 50.03 \)
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select the zeros of $h(x) = -x^3 - x^2 + 9x + 9$. identify the graph of…
Zeros: $x=-3$, $x=-1$, $x=3$ Graph: The top-left provided graph
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determine features of polynomial graph question the polynomial function…
The degree of \(f(x)\) is \(\boldsymbol{4}\) (even) and the leading coefficient is \(\boldsymbol{\text{negative}}\). There are \(\boldsymbol{2}\) different real zeros and \(\bolds…
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select the zeros of $h(x) = -x^3 - x^2 + 9x + 9$. identify the graph of…
Zeros: $x=-3$, $x=-1$, $x=3$ Graph: The top-left provided graph
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identify the zeros of $p(x) = x^6 - 11x^5 + 30x^4$. identify the graph …
Zeros: $x=0$, $x=5$, $x=6$ Graph: The bottom-left graph (the one that touches the x-axis at $x=0$, crosses at positive x-values, and rises to $+\infty$ as $x\to\pm\infty$)
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question the polynomial function $f(x)$ is graphed below. fill in the f…
The degree of \(f(x)\) is \(\boldsymbol{5}\) (odd), and the leading coefficient is \(\boldsymbol{\text{negative}}\). There are \(\boldsymbol{3}\) different real zeros and \(\bolds…
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select the zeros of $h(x) = x^4 + x^3 - 6x^2$. identify the graph of th…
Zeros: $x=-3$, $x=0$, $x=2$ Graph: The bottom-right graph (touches x-axis at $x=0$, crosses at $x=-3$ and $x=2$, ends pointing upward)
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question the polynomial function $f(x)$ is graphed below. fill in the f…
The degree of \(f(x)\) is \(\boldsymbol{5}\) (odd), and the leading coefficient is \(\boldsymbol{\text{negative}}\). There are \(\boldsymbol{3}\) different real zeros and \(\bolds…
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answer after completing the film... gender & identity 1.what does the m…
The film (e.g., a *Twelfth Night* adaptation) and Shakespeare’s work suggest people treat women and men with gender - based biases: women face restrictions (e.g., limited agency, …
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the polynomial function $f(x)$ is graphed below. fill in the form below…
The degree of \(f(x)\) is \(\boldsymbol{\text{even (4)}}\) and the leading coefficient is \(\boldsymbol{\text{negative}}\). There are \(\boldsymbol{1}\) different real zeros and \…
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exit ticket - second red scare possible points: 20 short constructed re…
The Second Red Scare was a post-WWII era of extreme anti-communist fear in the United States, driven by anxieties about Soviet expansion and potential communist infiltration of Am…
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proofreading parallel structure - triathlons read the passage and corre…
1. Change "develop" to **developing** (to match the gerund form of "looking" in the parallel phrase "looking for a new challenge to test their limits and developing their skills")…
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lesson 4 using function notation to describe rules (part 1) lets look a…
### Notices: - For \( f(x)=10 - 2x \): It is a linear function with a negative slope (\( - 2 \)), so as \( x \) increases, \( f(x) \) decreases. The values of \( f(x) \) follow th…
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read the passage and correct the the words that dont match the others i…
1. Change "developing" to **develop** 2. Change "a run" to **running** 3. Change "training" to **train** 4. Change "are" to **is**