There are 37 people seated in a cafeteria.
Each table holds 2 people. Only one table
is not full. How many full tables are there?

Someone who please help me this is on my test and a really
important answer. Thank u♥︎

Answer:

x=2

Step-by-step explanation:

For there to be an undefined slope, there has to be no y-intercept. Therefore, the line looks vertical. So, the equation of a line with an undefined slope would be x=?. In this case, where we know a point (2,3), the equation would then be x=2.

We are given with the function [tex]{\bf{f(x,y,z)=e^{x+y}\cos (z)+(y+1)\sin^{-1}(x)at}}[/tex] and we need to find [tex]{\bf \nabla f}[/tex] , that's nothing but just the gradient of f(x,y,z) . But before starting let's recall ;

For a function F(x, y, z, ....) , the gradient is given by ;

So , now let's calculate the partial derivatives of f(x, y, z) first with respect to x , y and z one after other .So consider ;

[tex]{:\implies \quad \sf f(x,y,z)=e^{x+y}\cos (z)+(y+1)\sin^{-1}(x)at}[/tex]

Partial differentiating both sides w.r.t.x will yield ;

[tex]{:\implies \quad \sf \dfrac{\partial f}{\partial x}=e^{x+y}\cos (z)+(y+1)at\dfrac{1}{\sqrt{1-x^{2}}}}[/tex]

Simplifying will yield ;

[tex]{:\implies \quad \sf \dfrac{\partial f}{\partial x}=\dfrac{e^{x+y}\cos (z)\sqrt{1-x^{2}}+(y+1)at}{\sqrt{1-x^{2}}}}[/tex]

Now again consider ;

[tex]{:\implies \quad \sf f(x,y,z)=e^{x+y}\cos (z)+(y+1)\sin^{-1}(x)at}[/tex]

Partial differentiating both sides w.r.t.y will yield ;

[tex]{:\implies \quad \sf \dfrac{\partial f}{\partial y}=e^{x+y}\cos (z)+\sin^{-1}(x)at}[/tex]

Now , again consider ;

[tex]{:\implies \quad \sf f(x,y,z)=e^{x+y}\cos (z)+(y+1)\sin^{-1}(x)at}[/tex]

Partial differentiating both sides w.r.t.z will yield ;

[tex]{:\implies \quad \sf \dfrac{\partial f}{\partial z}=-e^{x+y}\sin (z)}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{\nabla f=\bigg\{\dfrac{e^{x+y}\cos (z)\sqrt{1-x^{2}}+(y+1)at}{\sqrt{1-x^{2}}}\bigg\}\hat{i}+\bigg\{e^{x+y}\cos (z)+\sin^{-1}(x)at\bigg\}\hat{j}-\bigg\{e^{x+y}\sin (z)\bigg\}\hat{k}}}}[/tex]

This is the required answer

Answer:

7

Step-by-step explanation:

7 is the coefficient of X.

Reasoning? The coefficient is the number that comes before a variable. In this case, 7 is the coefficient of x.

And 2 is the coefficient of y.

Answer:

Part A: [tex]f(x) = 15(x+2)^2-79[/tex]

Part B: [tex](-2, -79)[/tex]

Step-by-step explanation:

Have a great rest of your day

Answer:

Here you go :)

Step-by-step explanation:

What I've provided is a screenshot showing -3/4 on a number line. I hope this helps you :)

Answer:

12 Assistants

Step-by-step explanation:

If 5 assistants can do same job as 3 specialists. You could say 1 specialist is equivalent to 5/3 Assistants.

So a job 8 specialists can complete in 9 hours. 8*5/3 Assistants can complete the same job in 9 hours.

40/3 Assistants - 9 hours - 1 job

X Assistants   -  10 hours - 1 job

Here if we give assistants more time, fewer assistants will be needed (inversely proportional). Here, the factor or ratio of increase in time from 9 to 10 is 10/9 or 9 * 10/9 = 10.

The number of assistants needed will be 40/3  divided by 10/9 which is

40/3 * 9/10 = 12.

Answer:

here is the answer

Step-by-step explanation:

a=90

b=80

c=45

d=45

e=138

Answer:

[tex]0[/tex]

Step-by-step explanation:

I can't understand your hand writing

Answer:

improve your handwriting then worry about math fam

Answer:

All of them

Step-by-step explanation:

Acute, right, scalene, equilateral, isosceles, and obtuse are ways to describe a triangle and classify it, especially with the type of angles it has. Acute can describe a 45-degree angle, just like right can describe a ninety-degree angle.

Answer:

B, D, and E

Step-by-step explanation:

Acute can never be right and Right cannot be equilateral

Answer:

[tex]4 {m}^{3} - 13 {m}^{2} + 35m - 8 [/tex]

Answer:

The answer is 3.

Step-by-step explanation:

1/7(21)= 3

Answer:

Yes, that is the correct answer

Step-by-step explanation:

Answer:

The screen is black

Step-by-step explanation:

Answer:

53.13°

.

.

.

....,...................

Answer:  y = 340000*(1.094)^t

This is the same as writing [tex]y = 340000(1.094)^t[/tex]

======================================================

Explanation:

The answer above is in the form y = a*b^t

a = 340,000 = initial population

b = 1.094 = 1 + 0.094 = growth factor

Think of the growth factor as 100% + 9.4% = 109.4%

Answer:

slope = -3

y-intercept = 2  

Step-by-step explanation:

The equation y = -3x + 2 is written in slope-intercept form of

y= mx +b where m is the slope and b is the y intercept.

m = -3

b= 2

Answers:

The answer is in the picture!

Please give brainliest. :)

Answer:

The area of the circle is 154 square feet

Step-by-step explanation:

Answer:

The answer is 2095 cubic inches

step-by-step explaination:

Now,

V = 2/3 πr³

V = (2/3) × (22/7) × (10)³ inches

V = 44/21 × (10)³ inches

V = 2.095 × 1000 inches

V = 2095 cubic inches.

Thus, The volume of bowl is 2095 cubic inches.

-TheUnknownScientist 72

Answer: Tides are the daily rise and fall in surface water levels of bays, gulfs, inlets and oceans and vary depending on the day and location. Tides are big periodic waves that move through the ocean in response to the gravitational attraction of the moon and the sun.

Step-by-step explanation: according to the National Oceanic and Atmospheric Administration (NOAA). Most coastal areas experience two high tides and two low tides every day and they may not be equal. (In some places, such as the Gulf Coast, you may only get one high and one low tide per day.) The height difference between high tide and low tide is called the tidal range. In some areas, the difference between high and low tides may not be so noticeable. In other areas, it can be quite stark.

Answer:

b = -2

a = 1

Step-by-step explanation:

Check the picture

Answer:

x smaller than or equals to -2

x bigger than or equals to 3

Answer:

[tex]\huge\boxed{\boxed{26}}[/tex]

Step-by-step explanation:

Hello.

Plug in the values of the variables and solve:

5a+b²

5(-2)+6²

5 times -2 is equal to -10:

-10+6²

6² = 6×6=36

-10+36

Add:

26

And we're done!

I hope it helps & have an outstanding day!

~ST2710 :)

Step-by-step explanation:

Check image below / above.

Answer:

one solution

Step-by-step explanation:

3(x-2) =22 -x

Distribute

3x - 6 = 22-x

Add x to each side

3x+x-6 = 22-x+x

4x+6 = 22

Subtract 6 from each side

4x+6-6 = 22-6

4x= 16

Divide by 4

4x/4 = 16/4

x=4

There is one solution

Answer:

The answer is 2 feet

Step-by-step explanation:

its 42-40=2

Answer:

I think it is A since its a ray

Step-by-step explanation:

dea is adjacent

ceb is liner pair

eab adjacent to dea