The radius of a spherical ball is increasing at a rate of 2 cm/min. At what rate is the surface area of the ball increasing when the radius is 8 cm? Suppose y = v(2x + 1) (the squareroot of 2x + 1) where x and y are functions of t. If dx/dt = 3, find dy/dt when x = 4

A subset of an antisymmetric relation is also antisymmetric.To show that a subset of an antisymmetric relation is also antisymmetric, consider the following steps:

Let R be an antisymmetric relation on a set A, and let S be a subset of R. By definition, R is antisymmetric if for all (x, y) ∈ R, if (x, y) ∈ R and (y, x) ∈ R, then x = y. Now, we need to prove that S is antisymmetric as well. Let (x, y) ∈ S.
Since S is a subset of R, (x, y) ∈ R.

Assume (y, x) ∈ S. As S is a subset of R, (y, x) ∈ R.As R is antisymmetric, we know that if (x, y) ∈ R and (y, x) ∈ R, then x = y. Therefore, if (x, y) ∈ S and (y, x) ∈ S, then x = y.So, a subset of an antisymmetric relation is also antisymmetric.

To know more about antisymmetric, refer to the link:

https://brainly.com/question/31979916#

#SPJ11

Answer:

3(q-7)=27

3q-21=27

3q=48

q=16

Step-by-step explanation:

please pass this on... ( #helpsavelives )

Who ever is reading this:

I love u.

U matter.

The world needs u

hang in there ik it may be bad but u deserve the world <3

ur beautiful no matter ur shape, size, color, gender.. anything

don't give up i need u to live.

i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me

Pls pass this on. Everyone deserves to know this. ♥️♥️

just copy and paste its not hard pls this could save someones life

Answer:

q = 16

Step-by-step explanation:

3(q - 7) = 27

3q - 21 = 27    | +21

3q = 48          | :3

q = 16

The required volume of Famotidine is 4 mL.

To calculate the required volume in milliliters (mL) for the provided dosage of Famotidine, we can use the following formula:

Volume (mL) = (Dosage ordered / Available dosage) * Volume per dose

We have:

Dosage ordered = 40 mg

Available dosage = 20 mg/2 mL (This means there are 20 mg of Famotidine in 2 mL)

Volume per dose = 2 mL

Let's substitute these values into the formula:

Volume (mL) = (40 mg / 20 mg) * 2 mL

Simplifying the expression:

Volume (mL) = 2 * 2 mL

Volume (mL) = 4 mL

To know more about volume refer here:

https://brainly.com/question/30030582#

#SPJ11

Answer: the answer is B-130

Explanation: it is farther closest to 50 than the other options.

To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.

First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.

Depreciation per year = (Cost - Salvage Value) / Useful Life

Depreciation per year = ($746,800 - $80,200) / 10 years

Depreciation per year = $66,160

Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.

Accumulated Depreciation = Depreciation per year × Years

Accumulated Depreciation = $66,160 × 7.33 years

Accumulated Depreciation = $484,444.80

Now, we can calculate the book value of the furniture:

Book Value = Cost - Accumulated Depreciation

Book Value = $746,800 - $484,444.80

Book Value = $262,355.20

Finally, we can calculate the gain on the sale:

Gain on Sale = Sale Price - Book Value

Gain on Sale = $300,000 - $262,355.20

Gain on Sale = $37,644.80

Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.

To know more about depreciation, refer here:

https://brainly.com/question/30531944

#SPJ11

The gain that should be recognized on the sale of the office furniture is $84,080.

The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.

Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.

For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420

Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.

learn more about gain here:

https://brainly.com/question/31218742

#SPJ11

Step-by-step explanation:

don't know its so hard.....

but in my guess its answer should be 1,1,3,4

otherwise ask your teacher

The cost to ship a box containing 5 laptops, weighing a total of 11 kg (including the empty box), is $58.90, with a cost of $40.00 for the first 5 kg and $3.15 for each additional kilogram.

The total mass of the packed shipping box can be found by adding the mass of the laptops (5 * 1.65 kg = 8.25 kg) to the mass of the empty box (2.75 kg) for a total mass of 11 kg.

Since the cost to ship the box is $40.00 for the first 5 kg and $3.15 for each additional kilogram over 5 kg, we can split the total mass into two parts: the first 5 kg and the additional weight above 5 kg.

The cost to ship the first 5 kg is $40.00, and the remaining weight is 11 kg - 5 kg = 6 kg.

The cost to ship the additional 6 kg is $3.15 per kilogram, so the total cost to ship the packed box is:

$40.00 + $3.15 * 6 kg = $58.90

Therefore, the cost to ship the packed box is $58.90.

To know more about Cost of shipping:

https://brainly.com/question/29364736

#SPJ4

Answer: B

Step-by-step explanation:t+4+3−2.2t

Add 4 and 3 to get 7.

t+7−2.2t

Combine t and −2.2t to get −1.2t.

−1.2t+7

Nice

thx for the points  

I like your face

Cookie expanded by scale factor 2.2 after baking.

The size by which the shape is enlarged or reduced is called as its scale factor. It is used when we need to increase the size of a 2D shape, such as circle, triangle, square, rectangle, etc.

Given,

Diameter of raw cookie = 2 1/2 = 5/2 inches

Diameter of baked cookie = 5 1/2 = 11/2 inches

Scale factor of baked cookie to raw cookie

= 11/2/5/2

= 2.2

Hence, by 2.2 scale factor, cookie expanded after baking.

Learn more about scale factor here:

https://brainly.com/question/30215119

#SPJ1

7x - 2 = - 44

7x - 2 + 2 = - 44 + 2

7x = - 42

x = -42/7

x = -6

check

7 * (-6) + (-2) = - 42 - 2 = - 44

Answer:

7x+ (-2)=-44

x= -6

Step-by-step explanation:

you're welcome

Answer:

Step-by-step explanation:

Linda sold 14

John sold 29 which is 14 two times plus one

29+14=43

Answer:

mean- 32.4

median- 31.5

mode- 35

Step-by-step explanation:

to find mean add up all the number together than divide it by how many number that are there

for example the total is 324 and you would divide it by 10 (since there are 10 number there)

to find median locate the middle number but since you have two number in the middle take those to number add them together and divide by 2

for example 31+32=63 than divide by 2 which is 31.5

to find mode it is the number that appears most often so it would be 35 since it appears most often

Answer: 50

Step-by-step explanation: 50 trust i did lesson

Answer:

5k + 9

Step-by-step explanation:

3k + 4 + 2k + 5 =

= 5k + 9

The equation that describes the greatest horizontal length, H, in terms of the greatest vertical length, V, is \(H = \sqrt{ (V^2 + D^2)}\)

To create an equation that describes the greatest horizontal length, H, in terms of the greatest vertical length, V, we can use basic geometry principles.

Let's consider a right-angled triangle where V represents the vertical length and H represents the horizontal length. The hypotenuse of the triangle will be the greatest diagonal length.

According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse represents the greatest diagonal length.

Using the Pythagorean theorem, we can write the equation as:

\(H^2 = V^2 + D^2\)

Where H is the greatest horizontal length, V is the greatest vertical length, and D is the diagonal length (hypotenuse).

Since we are interested in expressing H in terms of V, we need to isolate H in the equation. Taking the square root of both sides gives us:

\(H = \sqrt{(V^2 + D^2)}\)

Therefore, the equation that describes the greatest horizontal length, H, in terms of the greatest vertical length, V, is:

\(H = \sqrt{ (V^2 + D^2)}\)

for such more question on horizontal length

https://brainly.com/question/25705666

#SPJ11

Answer:

i need the points sorry

Step-by-step explanation:

Answer:

g=−8x^2+52x−84/x

Step-by-step explanation:

Divide both sides by x

Answer:

980,000 hl

Step-by-step explanation:

There are 980,000 milliliters in 9.8 hectoliters.

Answer:

6x

Step-by-step explanation:

\( \sqrt{36 {x}^{2} } = \sqrt{36} \times \sqrt{ {x}^{2} } \)

Square of 36 is 6. Square of x^2is x.

\(6x\)

Given that James saw exactly one of these types of animal, the probability that he saw a crocodile is given as follows:

1/3.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The probability of seeing exactly one type of animal is given as follows:

2/5 x 1/6 + 3/5 x 2/9 = 1/15 + 6/45 = 3/45 + 6/45 = 9/45.

The probability of seeing exactly one type of animal and being a crocodile is given as follows:

2/5 x 1/6 = 1/15 = 3/45.

Hence the conditional probability is given as follow:

(3/45)/(9/45) = 3/9 = 1/3.

Learn more about the concept of probability at https://brainly.com/question/24756209

#SPJ1

Answer:

Step-by-step explanation:

(x - 9)/2 = 4

x - 9 = 8

x = 17

(y - 5)/2 = 1

y - 5 = 2

y = 7

(17, 7) for coordinates of C

Answer:

$1346.4

Step-by-step explanation:

First find the rectangle portions area with lxwxh, which is 8x6x8. That equalls 384.

Then find the triangles, which is bxh, which is 6x8. That equals 144.

Add those two to get 528.

Then multiply the total area by 2.55 which will get you 1346.4

Answer:

We can use Pythagoras' theorem to find the length of YZ, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, YZ is the hypotenuse, and the other two sides are 5 cm and 19 cm. So we have:

YZ^2 = 5^2 + 19^2

YZ^2 = 25 + 361

YZ^2 = 386

YZ = √386

YZ ≈ 19.6 cm (to 1 decimal place)

Therefore, the length of YZ is approximately 19.6 cm.

Given:

Consider the below figure attached with this question.

To find:

The value of \((f+g)(x)\).

Solution:

The given functions are:

\(f(x)=|x|+9\)

\(g(x)=-6\)

Now,

\((f+g)(x)=f(x)+g(x)\)

\((f+g)(x)=|x|+9+(-6)\)

\((f+g)(x)=|x|+9-6\)

\((f+g)(x)=|x|+3\)

We know that,

\(|x|\geq 0\)

Adding 3 on both sides, we get

\(|x|+3\geq 0+3\)

\((f+g)(x)\geq 3\)

So, \((f+g)(x)\geq 3\) for all values of x.

Hence, the correct option is A.

Answer:

Step-by-step explanation:

The rising time of a star depends on its right ascension and the latitude of the observer.

In this case, since both stars have the same declination, their altitude above the horizon at any given time will be the same. Therefore, the star with the smaller right ascension will rise first.

Since star A has a right ascension of 5h and star B has a right ascension of 2h, star B will rise first. This is because the Earth rotates from west to east, causing the stars to appear to move from east to west in the sky. As a result, stars with smaller right ascensions will appear to rise earlier in the east than those with larger right ascensions.

know more about ascensions: brainly.com/question/207368

#SPJ11

Answer:

1

Step-by-step explanation:

1+1=2

Click below for more info

The opposite side of the right triangle (x) is approximately 6.888 inches long.

To solve this problem, we can use the trigonometric ratio for the sine function, which is opposite/hypotenuse. We have the hypotenuse as 12 inches and the opposite angle as 35 degrees, so we can set up the equation:

sin(35) = opposite/12

To solve for the opposite, we can multiply both sides by 12:

opposite = 12 * sin(35)

sin(35) as approximately 0.574:

opposite = 12 * 0.574

opposite ≈ 6.888

Therefore, the opposite side of the right triangle (x) is approximately 6.888 inches long.

More on right-angle triangles can be found here: https://brainly.com/question/3772264

#SPJ1

The inequality representing the money Caroline needs to earn is \(x > 35\)

Considering the given information, we have the following two statements to compare using inequality:

The equality sign we are going to use to compare the two statements is greater than, >.

The relation in inequality will be written as:

\(x > 35\)

This means that, the amount of money she will earn, x, will be greater than $35.

Therefore, the inequality that represents what Caroline must earn is x > 35.

Learn more about inequality here:

https://brainly.com/question/24751617