Try solving this equation. m + 18 = -112

Take the first partial derivatives of f(x, y):

∂f/∂x = -2 (x - 5) = 10 - 2x

∂f/∂y = -2y

The critical points occur where both derivatives are zero:

10 - 2x = 0   ===>   x = 5

-2y = 0   ===>   y = 0

So there is only critical point at (5, 0), which takes on a value of f(5, 0) = 25.

Compute the Hessian matrix for f :

[tex]H(x, y) = \begin{bmatrix}\frac{\partial^2f}{\partial x^2} & \frac{\partial^2f}{\partial x\partial y} \\ \frac{\partial^2f}{\partial y\partial x} & \frac{\partial^2f}{\partial y^2}\end{bmatrix} = \begin{bmatrix}-2&0\\0&-2\end{bmatrix}[/tex]

Since det(H(x, y)) = 4 > 0 for all x, y, the critical point (5, 0) is a relative minimum.

f has no saddle points.

well, putting the movie in fifths, she watched 3/5, the whole movie will be 5/5 = 1.

[tex]\begin{array}{ccll} \stackrel{movie}{fraction}&hour\\ \cline{1-2} \frac{3}{5}&\frac{5}{8}\\[1em] \underset{whole}{1}&x \end{array}\implies \cfrac{~~ \frac{3}{5}~~}{1}=\cfrac{~~ \frac{5}{8}~~}{x}\implies \cfrac{3}{5}x=\cfrac{5}{8}\implies \cfrac{3x}{5}=\cfrac{5}{8} \\\\\\ 24x=25\implies x = \cfrac{25}{24}\implies x = 1\frac{1}{24}\qquad \textit{1 hour, 2 minutes and 30 seconds}[/tex]

Answer:

10 yards

Step-by-step explanation:

10 + 10 + 5 + 5 = 30 feet

30 feet = 10 yards

Answer:

No, sorry about that, buddy, I cannot.

Hello!

0.85b-0.2b

0.65b

0.65b=0.65b

So these expressions are equivalent.

Hope it helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

El carro de mercancía experimenta una aceleración neta de 0.333 metros por segundo al cuadrado al soltarse.

En esta situación se requiere una fuerza de 30 N para alcanzar la fuerza estática máxima ([tex]f_{s}[/tex]), entonces la fuerza de fricción ([tex]f_{k}[/tex]) se reduce a 20 N mientras se encuentre en movimiento. Si consideramos que la fuerza externa de 30 N se mantiene durante el fenómeno físico, entonces tenemos que la aceleración neta ([tex]a[/tex]), en metros por segundo al cuadrado, experimentada por el carrito de mercancía es determinada a partir de las leyes de Newton:

[tex]a = \frac{F-f_{k}}{m}[/tex] (1)

Donde [tex]m[/tex] es la masa del carrito de mercancía, en kilogramos.

Si sabemos que [tex]F = 30\,N[/tex], [tex]f_{k} = 20\,N[/tex] and [tex]m = 30\,kg[/tex], entonces la aceleración neta del carro de mercancías es:

[tex]a = \frac{30\,N-20\,N}{30\,kg}[/tex]

[tex]a = 0.333\,\frac{m}{s^{2}}[/tex]

El carro de mercancía experimenta una aceleración neta de 0.333 metros por segundo al cuadrado al soltarse.

Invitamos a consultar esta pregunta sobre la fricción seca: https://brainly.com/question/19115001

Answer:

32.5

Step-by-step explanation:

order the numbers) 30, 31, 32, 32, 33, 34, 36, 37

cancel the numbers from each side to the middle) 32 and 33

add the values together and divide by two) [32+33] divide by 2=65/2=32.5

Answer:

$30 on CDs

$20 on Makeup

hope it helps

Step-by-step explanation:

The money spent on each product is $20 and $30 respectively.

A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.

Given that,

The money spent by Lauren on make up and CDs is $50.

Suppose the money spent on CDs be x.

Then, the money spent on make up is  x + 10.

As per the question the following equation can be formed,

x + x + 10 = 50

=> 2x + 10 = 50

=> 2x = 40

=> x = 20

Thus, money spent on make up is 20 + 10 = 30 dollars.

Hence, the money spent on CDs and make up is $20 and $30 respectively.

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Answer:

A statistic

Step-by-step explanation:

This is because she only examined the applications that she selected.

The given percentage represents statistic.

" Percentage is defined as the hundredth part of a given quantity."

According to the question,

Given,

Collection of data applicants in form of sample

Percentage calulation based on sample

    parameter is not the correct answer.

      Statistic is the correct answer.

Hence, the given percentage represents statistic.

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Using the equation for the area of a rectangle, the original width of the pen is determined by:

9.5 (W + 5.7) = 77.9

The area of a rectangle of length l and width w is given by:

[tex]A = lw[/tex]

In this problem:

Then:

[tex]A = lw[/tex]

[tex]9.5(w + 5.7) = 77.9[/tex]

For a similar problem, also involving the area of a rectangle, you can check https://brainly.com/question/10489198

Step-by-step explanation:

-9x + 1 = -x + 17

collect like terms

-9x + x = 17-1

-8x = 16

divide both sides by -8

-8x/-8 = 16/8

x = 2

Answer:

24.0

Step-by-step explanation:

do 34sin(45) to solve for x

Answer:

Alright I’ll go in order

Well first things first I’m gonna make the numbers in order first to make life easier

22, 36, 39, 39, 40, 40, 41, 42, 45, 46, 46, 49

#1: Is asking for the median of the data

The median is basically the center of the data in order

In this case the middle number here is 40 and 41, we jsut find the average between those 2 to find it. 40+41= 81 81/2= 40.5

Median :40.5

#2: Is asking for the mode

The mode is the number that comes up or repeats the most.

in this case it’s 39, 40, and 46

Mode: 39, 40, 46

#3: Is asking for the mean

The mean is basically the average, you add up all the given numbers and divide it by the amount of numbers there are. In this case it goes something like

22+36+39+39+40+40+41+42+45+46+46+49

you would get 446

Now theres 12 numbered so we divide that by 12

446/12 you’d get 37 1/6 as ther average or 37.166666666666…

#4: Is asking for the range

You just find the difference ebetween the greatest number and llowest number. In this case it’s 49-22 so you got 27

Range: 27

I think you can figur the rest out on your own!

Answer: 48

Step-by-step explanation:

l = w + 7

2w + 2l = 178

2w + 2(w + 7) = 178

2w + 2w + 14 = 178

4w = 164

w = 41

l = w + 7

l = 41 + 7

l = 48

Answer:

There will be 10 students in each van, and only 8 in one van

Step-by-step explanation:

26 + 32 = 58

Answer:

-12

Step-by-step explanation:

Answer:

7/100

Step-by-step explanation:

:)

cyclist a speed is d = v × t

so you can find velocity of a and b.

then compare them both.

Answer:

no

Step-by-step explanation:

the ratios shown in this table are not proportionate. You will also never get (0,0) in this table.

9514 1404 393

Answer:

  -3/10

Step-by-step explanation:

11/5 plots on a number line at 2.2

5/2 plots on a number line at 2.5

The distance between these points is 2.5 -2.2 = 0.3.

__

If you say the difference is 11/5 -5/2, then that is 2.2 -2.5 = -0.3 = -3/10.

Answer:

2 fruits

Step-by-step explanation:

That's because bananas and pears are two different fruits

Answer:

1  7/20 pounds

Step-by-step explanation:

3/4 + 3/5

Use common denominator of 20

15/20 + 12/20

Add numerators

27/20

Reduce

1  7/20 pounds

Answer:

8000

Step-by-step explanation:

Enter a problem...

Calculus Examples

Popular Problems Calculus Find the Domain and Range f(x)=5x-3

f

(

x

)

=

5

x

−

3

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

(

−

∞

,

∞

)

Set-Builder Notation:

{

x

|

x

∈

R

}

The range is the set of all valid

y

values. Use the graph to find the range.

Interval Notation:

(

−

∞

,

∞

)

Set-Builder Notation:

{

y

|

y

∈

R

}

Determine the domain and range.

Domain:

(

−

∞

,

∞

)

,

{

x

|

x

∈

R

}

Range:

(

−

∞

,

∞

)

,

{

y

|

y

∈

R

}

Answer:

The trick for these is finding out what makes the largest known value into the corresponding lower value. Then we use that number to find the missing side length based on the value we know.

1. The missing side length is 40.

We can find this by dividing 70 by 56 to get 1.25. We then multiply this by 32 to get our missing side length.

2. The missing side length is 91.

We can find this by dividing 130 by 30 to get 4.333(repeating decimal). We then multiply this by our known value (21) to get our answer of 91.

3. The missing side length is 21.

We can fid this by dividing 36 by 12 to get 3. Then we multiply this by 7 (our known value) to get our answer.

Step-by-step explanation:

hope this helps. . .<3

good luck!       UwU

Answer:

9×10^16

Step-by-step explanation:

Only if the power is the same, you can just add the first numbers

You just need to combine.

The rule (a) = a tells us we can just remove the parenthesis.

2*10^16 + 7*10^16

That would equal to 9 x 10^16 because when adding exponents, you keep them the same.

Answer:

33/36

Step-by-step explanation:

33/35

Step-by-step explanation:

Dividing 11/14 by 5/6 is the same as multiplying by 6/5 ( reciprocal)

Answer:

ayo i think is ufo trying to communicate hey alien we come in peace

Step-by-step explanation:

[tex]\cos \theta(\tan \theta + \cot \theta)\\\\=\cos \theta \tan \theta + \cos \theta \cot \theta \\\\=\cos \theta \left (\dfrac{\sin \theta}{\cos \theta} \right)+ \cos \theta \left(\dfrac{\cos \theta}{\sin \theta} \right)\\\\\\=\sin \theta + \dfrac{\cos^2 \theta}{\sin \theta}\\\\=\dfrac{\sin^2 \theta + \cos^2 \theta}{\sin \theta}\\\\=\dfrac 1{\sin \theta}\\\\=\csc \theta[/tex]

Answer:

Half-Life uses the formula N () = Noe # No = Initial Amount time h = length of half-life. Ifyou start with 65 milligrams of Chromium 51,used to track red blood cells, which has half-life of 27.7 days: How long will it take for 80% ofthe material to decay? t= (27.7) h5 (65) (h3) 4= (27.7) h; (05)

Step-by-step explanation:

For the given data it will take 8.69 days for 80% of the material to decay.

A radioactive substance's half-life is typically described as the amount of time it takes for one-half of its atoms to disintegrate or change into another substance.

It is given that, If you start with 65 milligrams of Chromium 51, used to track red blood cells, which has a half-life of 27.7 days.

N₀ = 65 milligrams

t1/2=27.7 days

N(t)=0.8(65 milligrams)=52 milligrams

[tex]N(t) = N_0(1/2)^ {\frac{t}{t_{1/2}} }[/tex]

Here,

N(t) is the amount of the substance remaining

N₀ is the initial substance amount

t is the time elapsed

t1/2 is the half-life

Substitute the given values,

[tex]N(t) = N_0(1/2)^ {\frac{t}{t_{1/2}} } \\\\ 52 = 65(1/2)^\frac{t}{27.7} \\\\ 52=65\left(\frac{1}{2}\right)^{\frac{t}{27.7}} \\\\ \frac{65\left(\frac{1}{2}\right)^{\frac{t}{27.7}}}{65}=\frac{52}{65} \\\\ \left(\frac{1}{2}\right)^{\frac{t}{27.7}}=\frac{4}{5} \\\\ \frac{t}{27.7}\ln \left(\frac{1}{2}\right)=\ln \left(\frac{4}{5}\right) \\\\ t =-\frac{27.7\ln \left(\frac{4}{5}\right)}{\ln \left(2\right)}[/tex]

[tex]t = 8.69 \ days[/tex]

Thus, for the given data it will take 8.69 days for 80% of the material to decay.

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Answer:

45 5+[5(4+2)]?

Step-by-step explanation:

i hope is helped:)