finally, since sin() < 0, you can write cot() in terms of cos().T/F

Answer:

For me, it always helps to break down equations like this. Divide it up into two separate parts.

4^2*4^2=x

4^2=16

Replace both 4^2 with 16

16*16=256

The integral for the mass of the shell becomes  ∫₀^π ∫₀^{2π} ∫₃^₅ ρ(r, θ, φ) r^2 sin φ dr dθ dφ.

To find the mass of the spherical shell, we need to integrate the density over its volume. Let's assume that the density of the shell is constant, denoted by rho.

Using spherical coordinates, the integral for the mass of the shell can be written as:

M = ∫∫∫ ρ(r, θ, φ) r^2 sin φ dr dθ dφ

where,

ρ(r, θ, φ) is the density of the shell, which is assumed to be constant,

r is the radial distance from the origin,

θ is the azimuthal angle, which measures the angle in the xy-plane from the positive x-axis,

φ is the polar angle, which measures the angle from the positive z-axis.

Since the shell is centered at the origin and has an inner radius of 3 cm and an outer radius of 5 cm, the limits of integration are:

3 ≤ r ≤ 5

0 ≤ θ ≤ 2π

0 ≤ φ ≤ π

Thus, the integral for the mass of the shell becomes:

M = ∫∫∫ ρ(r, θ, φ) r^2 sin φ dr dθ dφ

= ∫₀^π ∫₀^{2π} ∫₃^₅ ρ(r, θ, φ) r^2 sin φ dr dθ dφ

the symmetry of the shell, which means that we are integrating over the entire volume of the shell. If the shell had some symmetry, we could have reduced the domain of the integral by exploiting that symmetry.

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Answer:

b

Step-by-step explanation:

i got it correct

Answer:

30 cm²

Step-by-step explanation:

solve for area of rectangle: 12 x 4 = 48 cm²

solve for area of triangle: 9 x 4= 36 / 2 = 18 cm²

subtract: 48- 18 = 30cm²

Answer:

D) V= 1/6 bh

Step-by-step explanation:

The expression that provides the volume of the pyramid is as follows;

As mentioned in the question

It is given that the pyramid put inside a prism

Also the pyramid contains the similar base area but the height is half of the prism

so the base area of the pyramid is b

And, the Height of the pyramid = h ÷ 2

Now as we know that  

The volume of the pyramid is

V = 1 ÷3 × base ares × height

= 1 ÷ 3 × b × h ÷ 2

V = 1 ÷ 6 bh

So, the volume is 1 ÷6 bh cube unit.

Answer:

V = 1/6 BH

Step-by-step explanation:

the volume of a pyramid is 1/3 BH , since the pyramid is only half the height of the prism you'll have to multiply 1/3 x 2 = 1/6

The pharmaceutical company uses the quantitative variable to conducts an experiment.

Variables:

A variable is a characteristic of an object. Their values may occur more than once for a set of data. We consider just two main types of variables in this course.

Quantitative Variables - Variables whose values result from counting or measuring something.

Qualitative Variables - Variables that are not measurement variables. Their values do not result from measuring or counting.

Given,

A pharmaceutical company conducts an experiment in which a subject takes 75 mg of a substance orally.

And  the researchers measure how many seconds it takes for one quarter of the substance to exit the bloodstream.

Here we need to find the kind of variable is the company​ studying.

Here the company uses the Qualitative Variable because here they measure the effects of the medicine not the measurement.

So, the experiment uses the Qualitative Variable.

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Answer: Your welcome!

Step-by-step explanation:

The slope of the line represents the amount of money that is donated each day, which is 25. The y-intercept represents the amount of money donated on the first day, which is 50.

Answer:

u=8

3u+5u=64

8u=64

u=8

finish

Hey there!

FIRST: you have to SIMPLIFY BOTH SIDES of your given EQUATION (there’s approximately 3 ways but we will use 2)

• 3u = 64 – 5u

• 3u = –5u + 64

SECOND: ADD by 5u on BOTH SIDES

• 3u + 5u = –5u + 64 + 5u

• CANCEL: –5u + 5u because that gives you 0

• KEEP: 3u + 5u because it can help us solve for you u-value

“3u + 5u = 8u”

New equation: 8u = 64

THIRD: DIVIDE by 8 on BOTH SIDES

• 8u/8 = 64/8

• CANCEL out: 8u/8 because that gives you 1

• KEEP: 64/8 because that gives you your u-value

“64/8 = u”

“64/8 = 8”

• Therefore your ANSWER: u = 8 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

To divide exponents with different bases and powers, you need to first factor out the common factors from the exponents. This will help you simplify the expression and make it easier to solve.

For example, let's say you have the expression 4x^3 / 2x^2. To divide these exponents, you need to factor out the common factors. In this case, the common factor is x^2, so you can simplify the expression as follows:

4x^3 / 2x^2 = (4/2) * (x^3/x^2) = 2x^(3-2) = 2x

So the answer is 2x.

In general, to divide exponents with different bases and powers, you need to:

1. Factor out the common factors from the exponents
2. Divide the coefficients (if there are any)
3. Subtract the exponents of the common factors

By following these steps, you can easily divide exponents with different bases and powers.
To divide exponents with different bases and powers, follow these steps:

1. Convert the bases to their prime factorization (if needed).
2. Divide the exponents with the same base by subtracting the exponent in the denominator from the exponent in the numerator.
3. Combine the results back together as a simplified expression.

Remember, you can only directly divide exponents with the same base. If bases are different, you'll need to factorize them to find common factors.

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The ratio of the weight of a semi-truck trailer tire compared to the weight of a mobile home will be 51: 52.

The utilization of two or more additional numbers that compares is known as the ratio.

The weight of the semi-truck trailer tire is 102 pounds.

The weight of the mobile home is 104 pounds.

The ratio of the weight of a semi-truck trailer tire to a mobile home is given as.

Ratio = 102 / 104

Ratio = 51 / 52

Ratio = 51: 52

The ratio of the weight of a semi-truck trailer tire to a mobile home will be 51: 52.

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Answer:

9)x=11 y=3

11)x=18 y=5

Step-by-step explanation:

9) 9x+25=13x+19                   13x-19+17y+5=180

   9x+44=13x                         129+17y=180

   44=4x                                 17y=51

   11=x                                     y=3

11) 49+3x=7x-23                    3x=11y-1

Answer:

35%

Step-by-step explanation:

Answer:

35 percent

Step-by-step explanation:

Check the picture below.

Answer:

one

Step-by-step explanation:

Zero has one square root which is 0.

Negative numbers don't have real square roots since a square is either positive or 0.

Answer:

$120 + -33% = $80.40

Step-by-step explanation:

Step-by-step explanation:

-1/4, -1/5, -1/6, -1/7, -1/8, 1/8, 1/7, 1/6, 1/5, 1/4

Answer:

104.7664068

Step-by-step explanation:

Answer:

I think ( b) is non proportional linear

Answer:

<C = <F

<B = < E

<A = < D

AB = DE

CA = FD

BC = EF

The triangles are basically the same, they are in corresponding order.

Hope I helped! Brainliest Appreciated!

The employee will receive a percentage raise after 16 years is $69,168

The first step is to calculate the percentage raise of the salary per year

= 2/100 × 52,400

= 0.02 × 52,400

= 1,048

The next step is to multiply 1,048 by the number of years

= 1048 × 16

= 16,768

The salary after 16 years can be calculated as follows

= 52,400 + 16,768

= 69,168

Hence the employee salary after 16 years is $69,168

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Answer:

I think its Your Values, but try and a get a second opinion

The remainder when x³ - 1 is divided by (x + 3) is  -28

The functions are given as

x 3 1 is divided by x 3

Rewrite them as

f(x) = x³ - 1 is divided by (x + 3)

Set the divisor to 0

So, we have

x + 3 = 0

Determine the value of x

This gives

x = -3

By the remainder theorem

Substitute x = -3 in the function f(x)

So, we have

f(-3) = (-3)³ - 1

Evaluate the expression

f(-3) = -28

By the remainder theorem, this represents the remainder

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The answer to the given question is You have a total of 40 cups.

Convert each measurement to cups:

2 pints = 4 cups (1 pint = 2 cups)

4 quarts = 16 cups (1 quart = 4 cups)

1 gallon = 16 cups (1 gallon = 4 quarts = 16 cups)

1 quart = 4 cups

Add up the total cups:

4 cups (from 2 pints) + 16 cups (from 4 quarts) + 16 cups (from 1 gallon) + 4 cups (from 1 quart) = 40 cups

Answer: You have a total of 40 cups.

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If you have 2 pints, 4 quarts, 1 gallon, and 1 quart, how many total cups do you have?

Answer:

4

Step-by-step explanation:

3 1/4 cup = 13/4 cup = 3.25

3/4 cup = 0.75

3.25 / 0.75 = 4.33333

Answer:

26.7

Step-by-step explanation:

Answer:

Football and golf

Step-by-step explanation:

Answer:

THANKS MAN

Step-by-step explanation:

Answer:

8 is correct!

Step-by-step explanation:

each table can seat 5 people (3+2=5) then figure out how many tables that can seat 5 you will need for 40 people, do this by multiplication 5×8=40 so you need 8 tables

Let's first write the equation given

x²+6x-13=0

They have told us to use "Completing the square" method.

So we need write x²+6x-13 as a whole square.

x²+6x-13=0

x²+(2*3*x)-9-4 = 0

x²+(2*3*x)-3²=4

Now we can write the LHS as:

(x - 3)²=2²

Hence,

x-3 can either be 2 or -2

Now,

x - 3=2

x=5

Or,

x - 3=-2

x=1

Therefore now we know that x can either be 1 or  5. So the correct answer is  Option B.

Step-by-step explanation:

x squared+6x-13=0

carry over that into the other side of the equal sign and then make the other side of the equal sign a perfect square

x squared +6x+3 squared=13+9(3 squared)

find the square root of both sides

(x+3)=class plus or minus

Answer:

p= 2.5

Step-by-step explanation:

maybe you meant 15=2(3p)

so that would be the answer