. The water pipe has a radius of 5 cm and a height of 7 cm. What volume of
water does it take to fill the pipe?

The point(s) on the surface at which the tangent plane is horizontal are (0, 0, 1).

To find the point(s) on the surface at which the tangent plane is horizontal, we need to find the points at which the partial derivatives of z with respect to x and y are both equal to 0. This means we need to solve the system of equations:

Solving this system of equations yields x = 0, y = 0, and z = 1. Therefore, the point(s) on the surface at which the tangent plane is horizontal is (0, 0, 1).

To understand why solving the system of equations yields the points for which the tangent plane is horizontal, it is important to understand what the partial derivatives represent. The partial derivative of z with respect to x is the rate of change of z with respect to x, and similarly for y.

When the partial derivatives are both equal to 0, it means that the rate of change of z with respect to x and y is 0, which implies that the tangent plane is horizontal.

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Answer: i'm pretty sure its c.

Step-by-step explanation:

Answer:

462962.96 naira

Step-by-step explanation:

This problem is complicated by the use of two different units.  I chose to use inches for the dimensions of the carpet.

200 in long

50 ft wide = 50 x 12 = 600 in.

Area = 200 x 600 = 120000 in^2

A square yard is a square 36 in. x 36 in. = 1296 in^2

Divide 120000 by 1296 to find out how many square yards of carpet you'll need.

120000 / 1296 = 92.59

Multiply by 5000 naira/yd^2 = 462962.96

Answer:

6/16

Step-by-step explanation:

Answer:

Step-by-step explanation:

15/40 i think

Answer:

Solution given:

radius [r]=4

height [h]=5

we have

Surface area of cylinder=2πr(r+h)

=2π×4(4+5)

=72πunits³ is a required volume.

Heeeeeeeyyyyyyyyyyyyy

The smallest whole number that can be divisible by both 176 and 342 is 30096.

To find out the least whole number that is divisible by two numbers, we have to find out the LCM. LCM is the least common multiple. This is done by factorization. We have to factorize both numbers. Prime factorization means we have to write the number as a product of prime numbers.

                   176 =  2×2×2×2×11= 2⁴× 11

                   342 = 2×3×3×19 = 2 × 3² × 19

According to the prime factorization method, we have to multiply the highest powers.

So  LCM = 2⁴×  3²× 11 ×19

               = 30096

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The correlation coefficient ρ for X and Y is ρ = -0.6675 in the given function.

The correlation coefficient is a statistical concept that aids in establishing a relationship between expected and actual values obtained through statistical experimentation. The calculated correlation coefficient's value explains why the difference between the predicted and actual values is so exact.

Correlation Coefficient value is always in the range of -1 to +1. A similar and identical relationship exists between the two variables if the correlation coefficient value is positive. Otherwise, it reveals how differently the two variables behave.

Pearson's correlation coefficient is calculated by taking the covariance of two variables and dividing it by the sum of their standard deviations. is typically used to represent it (rho).

The correlation coefficient is computed as,

[tex]$ \rho & =\frac{{Cov}(X, Y)}{\sqrt{V(X)} \times \sqrt{V(Y)}}[/tex]

[tex]$=\frac{-0.0267}{\sqrt{0.04} \times \sqrt{0.04}}[/tex]

= -0.6675

Thus, the correlation coefficient ρ for X and Y is ρ = -0.6675.

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Answer:

Step-by-step explanation:

24=c

Answer:

(4,-1)

Step-by-step explanation:

y = -1/2x + 1

y = x - 5

(2)x - 5 = -1/2x + 1(2)

2x - 10 = -1x + 2

3x - 10 = 2

3x = 12

x = 4

y = x -5

y = 4 - 5

= -1

Answer:

B. 3/4

Step-by-step explanation:

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P = P ( -3 , 4 )

Let the second point be Q = Q ( 1 , 7 )

Now , the slope of the line between the two points is given by the formula ,

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 7 - 4 ) / ( 1 - ( -3 ) )

On simplifying the equation , we get

Slope m = 3 / 4

Answer:

a = 8

b = 7

Step-by-step explanation:

For us to have infinitely many solutions, then what we have on the right side must be equal to what is on the left

In this case, our a value will be equal to 8 whole out b value will be equal to 7

Answer:

b. even

Step-by-step explanation:

m is a multiple of 8, so it is also a multiple of 4.  When a multiple of 4 is divided by 2, the result is a multiple of 2 (even).

Answer:

To drain the tank to the right level, you need to remove 859 - 635 = <<859-635=224>>224 gallons.

So you need to work for 224 / 56 = <<224/56=4>>4 minutes.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

hypotenuse is always double the short leg there for your answer would be 8 because 16/2 = 8

Answer:

8

Step-by-step explanation:

Well this is a right triangle which means that you can use the Pythagorean Theorem to solve it.

a^2+b^2=c^2

The 2 lines on the other 2 sides means that those 2 sides are congruent so they are the same

C is the hypotenuse and a=b so

a squared + a squared = 16 squared = 156

that should help you get started

Answer:

4

Step-by-step explanation:

-28 = ±2^2 x ±7
60 = ±2^2 x ±3 x±5
72 = ±2^3 x ±3^2
=> Gcf of -28, 60, 72: 2^2 = 4

Answer: 12

Step-by-step explanation:

Therefore, the highest common factor of 60 and 72 is 12.

:) I know somebody already answered but like..im answering some stuff today, hope this helped by the way!

Answer:

unbiased

Step-by-step explanation:

Answer:

I think its unbiased because biased is where prejudice in favor of or against one thing, person, or group compared with another, usually in a way considered to be unfair. and I think it is fair. I might be wrong tho

In the given arithmetic progression Common difference is 14.

An arithmetic progression is a set of integers with a fixed difference between any two succeeding numbers (A.P.).

Given, the n term of ap is Sₙ = 3n² + 5n

Where n is the number of terms

S₁ = 3* 1 + 5*1

S₁ = 8

S₂ = 3 * 4 + 5*2

S₂ = 22

common difference = 22-8

Common difference = 14

therefore, the Common difference in the given AP is 14.

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Step-by-step explanation:

hope this helps you out with the problems

Answer: x^2+7x+10

Step-by-step explanation:

Answer:

65.6488549618 %

Step-by-step explanation:

total left = 131

left who have artistic ability = 86

proportion of left who have artistic ability = number of favorable outcomes/total outcomes = 86/131 = 0.65648854961

mutliply by 100 to convert to a percent

65.6488549618 %

Therefore , the solution of the given problem of equation comes out to be  each diagonal measures 8.4 units in length..

An equation is a mathematical representation of two equal variables, one on each side of a "equals" sign. Everyday issues can be resolved with equations. We commonly look for pre algebra help to deal with problems in real life. Pre-algebra contains the fundamental concepts of mathematics.

Here,

Given: 16x + 2 = 36x - 6

8 = 20x

x = 8/20,

simplifying to 2/5, or 0.4

You would set the two equations equal to one another and find x because a rectangle's diagonals are congruent.

Re-enter the value of x into a single of the equations.

=>16(0.4) + 2

=>6.4 + 2

=>8.4

To make sure, confirm with the other diagonal.

=>36(0.4) - 6

=>14.4 - 6

=>8.4

Each diagonal measures 8.4 units in length..

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The complete question is "To find the diagonal  x value by the given equation  16x + 2 = 36x - 6 "

Answer:

3.4

Step-by-step explanation:

Answer:

2b - 1

Step-by-step explanation:

To solve this problem, we will need to open the parentheses. To do this, we will put an imaginary 1 in front of both sets of parentheses to open them using the distributive property, this gives us:

1(6b + 2) - 1(4b + 3)

We will open the first set of parentheses with no problem, but in the second set, we have -1, so we need to make every positive number negative and every negative number positive, giving us:

6b + 2 - 4b - 3

Then, we group our like terms:

6b - 4b + 2 - 3

Then, we subtract, giving us:

2b - 1

So the most simplified version is 2b - 1.

Hope this helped!

Answer:

Step-by-step explanation:

You begin by distributing the negative so -4b -3

then you will multiply (6b+2) by (-4b -3)

24b^2 - 18b - 8b - 6

answer = 24b^2 - 26b - 6

Answer:  To solve this problem, we can use the fact that a cubic centimeter of osmium has a mass of about 23 grams and the information provided about the chemist's amount of osmium.

First, we can divide the total mass of osmium by the mass of a cubic centimeter of osmium to find out how many cubic centimeters of osmium the chemist has. The equation would look like this:

2,530 grams / 23 grams/cubic centimeter = 110 cubic centimeters

So, the chemist has approximately 110 cubic centimeters of osmium.

It's worth mentioning that an exact value would require additional information as 23 grams per cc is an approximate value and also any impurities or loss of material in the sample also effect the total mass.

Step-by-step explanation:

A logarithmic curve is a mathematical function.

A logarithmic curve, also known as a logarithmic function, is a type of mathematical function that describes a relationship between a variable x and a variable y in which the logarithm of y is a linear function of x.

The general form of a logarithmic function is y = logb(x), where b is the base of the logarithm, and x and y are real numbers. The base of the logarithm can be any positive number, but the most common bases used are 10 (common logarithm) and e (natural logarithm).

The graph of a logarithmic function is a curve that starts at negative infinity and increases gradually as x increases. The slope of the curve becomes closer to zero as x increases, and it is undefined for x=0 or x<0.

Logarithmic functions are often used in many areas of science, engineering, and mathematics to model real-world phenomena that exhibit exponential growth or decay, such as population growth, radioactive decay, sound levels and more.

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Answer: I dont know

Explain Answer Step-By Step:Hey