Michael has $1,076.98 in his checking account. He is going to spend $536.32 on a new television, and he will spend the rest on
speakers that cost $47.00 each. Which of the following inequalities would determine the maximum number of speakers, x, Michael
can buy without spending more money than he has in his account?

Missing information:

How fast is the temperature experienced by the particle changing in degrees Celsius per meter at the point

[tex]P = (\frac{1}{2}, \frac{\sqrt 3}{2})[/tex]

Answer:

[tex]Rate = 0.935042^\circ /cm[/tex]

Step-by-step explanation:

Given

[tex]P = (\frac{1}{2}, \frac{\sqrt 3}{2})[/tex]

[tex]T(x,y) =x\sin2y[/tex]

[tex]r = 1m[/tex]

[tex]v = 2m/s[/tex]

Express the given point P as a unit tangent vector:

[tex]P = (\frac{1}{2}, \frac{\sqrt 3}{2})[/tex]

[tex]u = \frac{\sqrt 3}{2}i - \frac{1}{2}j[/tex]

Next, find the gradient of P and T using: [tex]\triangle T = \nabla T * u[/tex]

Where

[tex]\nabla T|_{(\frac{1}{2}, \frac{\sqrt 3}{2})} = (sin \sqrt 3)i + (cos \sqrt 3)j[/tex]

So: the gradient becomes:

[tex]\triangle T = \nabla T * u[/tex]

[tex]\triangle T = [(sin \sqrt 3)i + (cos \sqrt 3)j] * [\frac{\sqrt 3}{2}i - \frac{1}{2}j][/tex]

By vector multiplication, we have:

[tex]\triangle T = (sin \sqrt 3)* \frac{\sqrt 3}{2} - (cos \sqrt 3) \frac{1}{2}[/tex]

[tex]\triangle T = 0.9870 * 0.8660 - (-0.1606 * 0.5)[/tex]

[tex]\triangle T = 0.9870 * 0.8660 +0.1606 * 0.5[/tex]

[tex]\triangle T = 0.935042[/tex]

Hence, the rate is:

[tex]Rate = \triangle T = 0.935042^\circ /cm[/tex]

The value of the function when x=3 is approximately 18.83.

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

Linear function is a function whose graph is a straight line

We are given that;

The function

Now,

we need to substitute x=3 into the function and simplify it. We get:

3(3)−1​+(1+3)2

=8​+16

≈2.83+16

=4

Therefore, by the given function answer will be 4.

Learn more about function here:

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Answer:

the answer is 1771! good luck!

Step-by-step explanation:

i attached an image with the steps!

Answer:

A x>9

Step-by-step explanation:

add 4 to both sides and ta da

Answer:

x>9

Step-by-step explanation:

you move the negative 4 to the other side to get it away from x so then you can find the answer.

Hope this helps:)

Answer:

31 degrees

Step-by-step explanation:

Measure angles 1 and 3 are vertical angles, meaning they are equal which means 3 = 149 degrees

Angles 2 and 3 are adjacent and supplementary, meaning that their angles add up to 180.

180 - 149 = 31 degrees

Answer:B would be right so you are right!(give other user brainliest)

Step-by-step explanation:

Answer:

No, Yes, No

Step-by-step explanation:

3in by 4in by 5in will not make a triangle.

3in by 4in by 6in will make a triangle.

1m by 2m by 3m will not make a triangle.

The reason two of these triangles cannot be form is because the side lengths do not adhere to the triangle inequality theorem. This theorem states that the sum of the side lengths of any 2 sides of a triangle must exceed the length of the third side.

Answer:

195

Step-by-step explanation:

Therefore, the monthly change in the frog population over the last four months is [tex]195[/tex].

What is the simplification?

Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

As per the given information,

The monthly change in the frog population over the last four months is [tex]195[/tex].

Hence, the monthly change in the frog population over the last four months is [tex]195[/tex].

To know more about the simplification

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Answer:no

Step-by-step explanation:it would not be possible as 8 is a larger number then 3 unless u would be multiplying by decimals which in which case might be possible

Answer:

False!

~The Average number of TVs in a house is 2 - 3

Hope this helps!

Answer:

False.

The average number of televisions per family would have to be more than ten for it to be true, and I find this very hard to believe.

Hope I helped!

Answer:

its complemtary

Step-by-step explanation:

check this photo

Answer:

5 divided by some number.

Step-by-step explanation:

Hope this helps!

Answer:

third option

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

3/12=x/20

cross multiply

12x=3(20)

12x=60

x=60/12

x=5

Answer: 13.7ft (1 decimal place)

Step-by-step explanation:

For this question you will have to use Pythagoras theorem.

The formula for the short side is x²=c²-b² and when you put the numbers from this question into it you get x²=15²-6²

15²=225

6²=36

x²=225-36

x²=189

Then, as you want to find x on its own, you would have to square root 189 which is 13.7 (1 decimal place).

Hope this helps :)

Answer:

-1/3x+2y=4

Step-by-step explanation:

Substitute the negative reciprocal.

-1/3x+2y=4

Answer:

Isosceles right

Step-by-step explanation:

And isosceles triangle has 2 congruent sides, and since 90° is a right angles, it is a right triangle.

Answer:

isosceles acute I believe, since the two even sides are acute angles, however it could also be right since the top angle is a right angle and therefore the other two equal a right angle sorry if this didn't come in very useful

Answer:

D

Step-by-step explanation:

Plug it in 108 divide by 6

Answer:

choosing 1 blue and 1 green candy or choosing 2 green candies

Answer:

I think the answer should be.

B

Answer:

B

Step-by-step explanation:Edg 2021

the correct answer is 10290000

Answer:

130,200

Step-by-step explanation:

Earnings for 7yrs= $1,400 × 12 months × 7yrs

= $117,600

Raise for 7 yrs= $150 × 12 months × 7yrs

=$ 12,600

Earnings in 7yrs= $117,600 + $12,600

= 130,200

Answer:

b

Step-by-step explanation:

39-26 = ?

39

-26

____

 13

you added 13 songs.

Answer:

1)5:9 ,5 of 9 5/9 2) 36x5 3) 95x5

Answer:

B is the correct answer

Answer:

ummmm, i cant see the graph

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

1/5 = 2/10

Answer:

lcm of

Step-by-step explanation:

it is 12and 2.........

Answer:

Step-by-step explanation:

the correct answer of the question is y=x/3-3 b.c

m1.m2 = -1 But m1=-3

so -3.m2=-1

-3.m2/-3=-1/-3

m2=1/3 therefore

Y=1/3x-3

Answer:

Rounded down to the nearest foot, the length of the garden is nine feet.

Step-by-step explanation:

We're told that the length of the chicken coop, 3x + 12 feet, is equal to the length of the garden, 6x - 16 feet.  Let's put them together then and solve for x:

3x + 12 = 6x - 16

First, we'll subtract 6x from both sides

3x - 6x + 12 = 6x - 6x - 16

-3x + 12 = -16

Now we subtract 12 from both sides:

-3x + 12 - 12 = -16 - 12

-3x = -28

Finally divide both sides by -3

-3x / -3 = -28 / -3

x = 28/3

x = 9 and 1/3

As the question asks for the number of feet only (not inches), the answer is nine feet.

A third of a foot though is four inches, so the more exact answer is nine feet and four inches, or 9'4"