ALEKS Knowlege Check:

Evaluate the expressions. ​

[tex]\text{Given that,}\\\\f(x) = \dfrac x{1- \ln (x-1)}\\\\\\f'(x)=\dfrac{(1- \ln(x-1))-x\cdot \left(0-\dfrac 1{x-1} \right)}{(1- \ln(x-1))^2}\\\\\\~~~~~~~~= \dfrac{(x-1)(1- \ln(x-1))+x}{(x-1)(1-\ln(x-1))^2}\\\\\\~~~~~~~~= \dfrac{x-x\ln(x-1)-1+\ln(x-1)+x}{(x-1)(1-\ln(x-1))^2}\\\\\\~~~~~~~~= \dfrac{2x-1-(x-1)\ln(x-1)}{(x-1)(1-\ln(x-1))^2}\\[/tex]

[tex]\text{domain f(x):} ~\{x|x > 1, x\neq e+1 \}[/tex]

Answer:

Step-by-step explanation:

You would add probabilities if you want to find out if one event or another could happen. For example, if you roll a die, and you wanted to know the probability of rolling a 1 or a 6, then you would add the probabilities:

Probability of rolling a 1: 1/6

Probability of rolling a 6: 1/6

So the probability of rolling a 1 or a 6 is 1/6 + 1/6 = 2/6 = 1/3.

Answer:the answer would be equal to.

Step-by-step explanation:

Answer:

A. trapezoid

Step-by-step explanation:

edge 2022

The student T distribution would be used since we don't know the population variance (by extension the population standard deviation).

However, if n > 30, then the student T distribution is going to look very similar to the standard normal Z distribution. It won't be a perfect match, but it'll be close enough that it's more simple to use the Z distribution. With the Z distribution, you only have one set of values and you don't have to worry about the degrees of freedom.

The matrix that is equal to the considered matrix [-6,-6.5,1.7;  2, -8..5, 19.3 ] is given by: Option D:  [-6,-6.5,1.7;  2, -8..5, 19.3 ]

Two matrices are equal if and only if their shapes are same, and they've got the same elements for each corresponding row and column positions.

The missing options are specified in the image attached below.

The considered matrix is:

[tex]\left[\begin{array}{ccc}-6&-6.5&1.7\\2&-8.5&19.3\end{array}\right][/tex]

It has 2 rows and 3 columns.

Evaluating each of the options:

Option A and B are wrong as they've got 3 rows and 2 columns, which makes their shape not matching with the shape of the considered matrix.

Option C although has got 2 rows and 3 colums, but its elements are not matching with corresponding elements of the considered matrix.

Option D has 2 rows and 3 colums and its each element matches with the corresponding element of the considered matrix. (ie, for example, element common in first row and first column in option D is -6, and so as for the considered matrix, and similarly, all correspoding elements for each row and column is same in both matrices.)

Thus, the matrix that is equal to the considered matrix [-6,-6.5,1.7;  2, -8..5, 19.3 ] is given by: Option D:  [-6,-6.5,1.7;  2, -8..5, 19.3 ]

Learn more about matrices here:

https://brainly.com/question/13430728

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Answer:

D hope u get good grade

Step-by-step explanation:

edge 2023

Answer:

[tex]\large\lim_{x\rightarrow 1} f\left( x\right)=8[/tex]

Step-by-step explanation:

[tex]\lim_{x\rightarrow 1} \frac{f\left( x\right) -8}{x-1} =10[/tex]

[tex]\lim_{x\rightarrow 1} f\left( x\right) -8=10\times \lim_{x\rightarrow 1}\left( x-1\right)[/tex]

[tex]\lim_{x\rightarrow 1} f\left( x\right) -8=10\times\left( (1)-1\right)[/tex]

[tex]\lim_{x\rightarrow 1} f\left( x\right) -8=10\times\left( 0\right)=0[/tex]

[tex]\lim_{x\rightarrow 1} f\left( x\right) -8=0[/tex]

[tex]\lim_{x\rightarrow 1} f\left( x\right) =8[/tex]

Answer:

yes

Step-by-step explanation:

yes

each input (x) has exactly one output (y)

in other words

it passes the vertical line test

Answer:

see explanation

Step-by-step explanation:

under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

(3, 4 ) → (3, - 4 )

(3, 1 ) → (3, - 1 )

(5, 1 ) → (5, - 1 )

Answer:

Points would be (3,-1) (5,-1) (3,-4)

Step-by-step explanation:

So its asking for a reflection on the x-axis, which means you simply take the shape and move the points to the same spot on the other side of the boldest horrizontal line, or in other words, you can just add a negative to the y variable in the points, because the rule is (x,-y).

[tex]\dfrac{5 \sin 87^{\circ} + \tan 72^{\circ} - \sec 5^{\circ}}{\cot 18^{\circ}-\csc 85^{\circ}+5\cos 3^{\circ}}\\\\\\=\dfrac{5\sin\left(90^{\circ}-3^{\circ} \right) + \tan\left(90^{\circ}-18^{\circ} \right)-\sec\left(90^{\circ}-85^{\circ} \right)}{\cot 18^{\circ}-\csc 85^{\circ}+5\cos 3^{\circ}}\\\\\\=\dfrac{5\cos 3^{\circ} + \cot 18^{\circ}-\csc 85^{\circ}}{\cot 18^{\circ}-\csc 85^{\circ}+5\cos 3^{\circ}}\\\\\\=1[/tex]

Answer:

[tex]derivative n thof \: sin2x [/tex]

Answer:

[tex]x = 52[/tex]

Step-by-step explanation:

Step 1:  Create an expression

[tex]2x + 76 = 180[/tex]

Step 2:  Subtract 76 from both sides

[tex]2x + 76 - 76 = 180 - 76[/tex]

[tex]2x = 104[/tex]

Step 3:  Divide both sides by 2

[tex]\frac{2x}{2} = \frac{104}{2}[/tex]

[tex]x = 52[/tex]

Answer: [tex]x = 52[/tex]

Answer:

x = 52

Step-by-step explanation:

the 2 inside angles add up to 180 degress since they lie on the same side on the transversal line. so we set the eqaution up:

2x+76=180

2x=104

x=54

Answer:

40 problems.

Step-by-step explanation:

I am assuming you are asking what the total number of problems is.

24*100 is 2400

2400/60 is 40

Answer:

1992

Step-by-step explanation:

60x38=2280

32x9=288

2280-288=1992

Hope it helps!

Answer:

its actually just r=-2

Answer:

See below

Step-by-step explanation:

sf = s0 + v0 t  + 1/2 at^2

        1  + (-3)t + 1/2 (.2t) t^2           ( weird acceleration value)

s =  1 -3t + .1 t^3           You will need a 't' value to determine the position

Answer:

7/x < 8y

Step-by-step explanation:

7/x < 8y

Answer:

B

Step-by-step explanation:

2/6  x  d   = 388

d = 388 x 6/2 = 1164 m

Answer:

The total distance covered in miles is B, 1164 miles.

Step-by-step explanation:

Since we know that 2/6 of his total trip distance is 388 miles we can do 388 / 2/6 = 1164. Therefore, his total trip distance is 1164 miles.

Answer:

-3

Step-by-step explanation:

The top left box on the x axis is negitive 3

Answer:

1.33 hours(If it doesn't let you type that in, just do 1 hour for rounding purposes)

Step-by-step explanation:

First, we take the 350 gal variable and divide that by 4.39, we now get 79.73

Now, we convert that into hours(60mins per hour), so 79.73 divided by 60.

We get 1.33, which is your answer!

[tex]\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{"f" varies inversely with "L"}}{f=\cfrac{k}{L}}\qquad \textit{we also know that} \begin{cases} f=\stackrel{lbs}{20}\\ L=\stackrel{ft}{1.5} \end{cases} \\\\\\ 20=\cfrac{k}{1.5}\implies 30=k~\hfill \boxed{f=\cfrac{30}{L}} \\\\\\ \textit{when L = 6, what is "f"?}\qquad f=\cfrac{30}{6}\implies f=5[/tex]

Answer:

the 6th option is yore answer! hope this helps:))

Answer: If I did it correctly it should be 150.8

Step-by-step explanation:

The formula for the volume of a cylinder is height x π x (diameter / 2)2, where (diameter / 2) is the radius of the base (d = 2 x r), so another way to write it is height x π x radius2.

Hope this helps!

Answer:

what is mean: mean is the "average" of a set of numbers and it is calculated by adding up the values given and dividing by the total number of values given.

Step-by-step explanation:

formula: addition of all values divided by the number of values given.

total number of values given = 10 ( count each number as one )

so ..

20+15+22+13+14+18+19+11+23+17 = 172

divided by 10

= 17.2 ( decimal)

or 17 whole number 1/5 ( mixed fraction )

or 86/5 ( improper fraction ).

Hope this helps.

Good luck .

Answer:

180

Step-by-step explanation:

This is 180 because the specific angles in a triangle will unless an irregularly shaped triangle will equal up to 180.

Answer:

The function is C(d) = 0.69d+25.95. The equation will be 0.69(57)+2595.

for the last question 0.69d+25.95 = 57, so 0.69d = 31.05, so d is 45

The max distance you can drive with 120 dollars is 45 miles.