i need help with this please, I'm confused , can you please explain?

Answer:

volume of a cylindrical water tank = 70,650cm³

Step-by-step explanation:

volume of cylinder, V = πr²h

where π = 3.14

h = 100cm

r = ?

given is diameter = 30cm

r = d/2 = 30/2 = 15cm

substituting the values in the formula,

V = 3.14 * 15² * 100

= 3.14 * 225 * 100

= 70,650cm³                        

Answer:

How much space it would take up: 706.86 square centimeters of floor space and extend vertically to a height of 100 cm

Volume: 706,500 cm³

Step-by-step explanation:

How much space it would take up:

To determine the space occupied by a cylindrical water tank in a room, we need to consider its dimensions and the area it covers on the floor.

The diameter of the tank is given as 30 cm, which means the radius is half of that, 15 cm.

To calculate the space it occupies on the floor, we need to find the area of the circular base. The formula for the area of a circle is A = πr², where A is the area and r is the radius.

A = π(15 cm)²

A = π(225 cm²)

A ≈ 706.86 cm²

So, the circular base of the tank occupies approximately 706.86 square centimeters of floor space.

The height of the tank is given as 100 cm, which represents the vertical space it occupies in the room.

Therefore, the cylindrical water tank would take up 706.86 square centimeters of floor space and extend vertically to a height of 100 cm in the room.

Volume:

To calculate the volume of a cylindrical water tank, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height.

First, we need to find the radius by dividing the diameter by 2:

Radius = 30 cm / 2 = 15 cm

Now we can calculate the volume:

V = π(15 cm)²(100 cm)

V = 3.14 * 225 cm² * 100 cm

V = 706,500 cm³

Therefore, the cylindrical water tank will occupy a volume of 706,500 cm³ or 706.5 liters.

Answer:

Mr Jones: $399.69
Mr Williams: $290.31

Step-by-step explanation:

Calculate the total investment: $2000 + $1450 = $3450.

Calculate Mr Jones' share: ($2000 / $3450) * $690 ≈ $399.69.

Calculate Mr Williams' share: ($1450 / $3450) * $690 ≈ $290.31.

Hence, Mr Jones will receive approximately $399.69 in profit, while Mr Williams will receive approximately $290.31 in profit.

Answer: width = 7, length = 18

Step-by-step explanation:

Area (A) = Length (L) x width (w)

Given: A = 126, L = w + 11

126 = (w + 11)w

126 = w² + 11w

 0   = w² + 11w - 126

 0   = (w - 7)(w + 18)

 0  = w - 7     0 = w + 18

 7 = w         -18 = w

                      ↓

                   Disregard because width cannot be negative

L = w + 11

  = 7 + 11

  = 18

Answer:

The mistake is the problem itself.  It should be

5x=100

x=100÷5

x=20

Step-by-step explanation:

The mistake is the problem itself.  It should be

5x=100

x=100÷5

x=20

Answer:

B i just copied the other person

Step-by-step explanation:

Answer:

Make the -4 exponent in the denominator positive.

Answer:

x^2 + y^2 = 100

Step-by-step explanation:

The equation of the circle that you are looking for is x^2 + y^2 = 100.

You can find this by using the base formula for a circle:

(x - x1)^2 + (y - y1)^2 = r^2

In which x1 is the x-coordinate of the origin, y1 is the y-coordinate of the origin, and r is the radius. So we put in the values we know and simplify.

(x -0)^2 + (y - 0)^2 = 10^2

x^2 + y^2 = 100

The equation of the parabola which is as given in the task content is; f (x) = -3 (x - 5)² + 9.

It follows from the task content that the equation of the parabola which has the same shape as f(x)=-3 x² but with vertex (5,9) in the form f (x) = a (x-h)² + k be determined.

Recall that the vertex of a quadratic equations of the given form is defined by the coordinates (h, k).

On this note, the required equation of the parabola by substitution of h and k is;

f (x) = -3 (x - 5)² + 9.

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The volume of the composite figure is 228 ft³.

To calculate the volume of a composite figure, we need to break it down into its individual components and then sum up the volumes of each component.

From the given dimensions, it seems that the composite figure consists of multiple rectangular prisms. Let's calculate the volume of each prism and then add them together.

First prism:

Length = 8 ft, Width = 4 ft, Height = 6 ft

Volume = Length * Width * Height = 8 ft * 4 ft * 6 ft = 192 ft³

Second prism:

Length = 3 ft, Width = 2 ft, Height = 6 ft

Volume = Length * Width * Height = 3 ft * 2 ft * 6 ft = 36 ft³

Now, let's add the volumes of both prisms:

192 ft³ + 36 ft³ = 228 ft³

Therefore, the volume of the composite figure is 228 ft³.

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What is the volume of the composite figure? 8 ft 4 ft 6 ft 3 ft 2 ft

Answers 96 ft³3 76 ft³ 228 ft³ 192 ft³ ​

Answer:

Isnt it 12? the first rectangle says 2 on one side and 6 on another. The rectangle didn't change shape, but position.

Am I right??

Answer:

5x^4+7x^3-6x^2

Step-by-step explanation:

\((x^{2} +2x)(5x^{2} -3x)\\\= 5x^{4}-3x^{3} +10x^{3} -6x^{2}\\= 5x^{4}+7x^{3} -6x^{2}\)

answer

13

step my step explanation

hoped this help

Answer:

The answer to your problem is, D. The range is the best measure of variability, and it equals 32.

Step-by-step explanation:

We know the scores earned in a flower-growing competition are represented in the stem-and-leaf plot.

The key will equal 2|1 means 21

Which we conclude to 17, 19, 21, 25, 29, 30, 31, 32, 46, 49.

Quartile:

Median, Minimum, Maximum, & Range:

Thus the answer to your problem is, D. The range is the best measure of variability, and it equals 32.

After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:

Amount remaining = Initial amount × (1/2)^(number of half-lives)

In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.

So, the equation becomes:

Amount remaining = Initial amount × (1/2)^4

Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.

Simplifying the equation:

Amount remaining = Initial amount × (1/16)

Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

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Answer:

\(54\)

Step-by-step explanation:

Formula for average A of two numbers m and n is:

\(A=\frac{m+n}{2}\)

Substitute the value m=36 and n=72

\(A=\frac{36+72}{2}\)

This is equivalent to:

\(A=\frac{108}{2}\)

The average is:

\(A=54\)

The values of the expressions are;

z³³

d⁻¹⁶

Note that index forms are described as forms used in the representation of numbers or variables too large or small.

Some rules of index forms are;

Then, from the information given, we have that;

(z⁻⁴/z⁶  × z⁵/z⁻⁶)⁻¹¹

Subtract the exponents, we have;

(z⁻² × z⁻¹)⁻¹¹

expand the bracket

z²² ⁺ ¹¹

z³³

(d⁴)⁻³/(d⁶)⁻²  ÷  (d⁴/d⁶)⁻⁸

expand the brackets

d⁻¹²/d¹²  ÷    (d⁻²)⁻⁸

subtract the exponents

d⁰  ÷  d¹⁶

d⁻¹⁶

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Step-by-step explanation:

the first option is the correct answer.

Answer:

It is A

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

Answer:

(- 3, 1.5)

--------------------------

Given system:

The first expression is ready to be substituted as no further operation is required to simplify it.

Find x:

Therefore , the solution of the given problem of  unitary comes out to be price of terminating the work-in-progress inventory is  $12,000 + $27,000 = $39,000.

Applying what was learned, using this variable approach, and combining all relevant data from two individuals who used a particular tactic will enable completion of the task. The entity indicated in the formula will either also be recognized, or both crucial processes integers will honestly disregard the colour, if the preferred assertion outcome materialises. A refundable fee of Rupees ($1.21) may be necessary for fifty pencils.

Here,

The cost of goods transferred out of Crushing would be determined using the FIFO method in the manner shown below:

Units started and completed plus equivalent units in the ending work-in-process inventory equal equivalent units of output completed.

=> Completed equivalent units = 28,000 + 6,000 100%

34,000 completed units of output are equivalent.

Cost of goods shipped out equals Cost per equivalent unit minus the number of completed equivalent units of output.

=> ($2.00 + $6.00) * 34,000 equals the cost of the goods transferred out.

Transfer of Goods Cost:

=> $8.00 x 34,000

$272,000 is the cost of transferring the products.

We must multiply the equivalent units in the ending work in process inventory by the cost per equivalent unit in order to determine

the expense of ending work in process inventory:

=>Direct materials: 6,000 units x 100% of 6,000

Direct material costs for ending work-in-progress inventory are $2.00 multiplied by 6,000 to equal $12,000

=> Costs of conversion: 6,000 x 75% = 4,500 units.

Cost of conversion costs in ending work in progress inventory = $6.00 divided by 4,500 equals $27,000.

The price of terminating the work-in-progress inventory is therefore $12,000 + $27,000 = $39,000.

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Answer:

Ann traveled 165 miles on 5 gallons of gas

Step-by-step explanation:

First we must know how many miles are in a gallon (in this situation). Last weekend Ann drove 132 miles with 4 gallons of gas, we can divide to find out how many miles she drove on 1 gallon. 132/4 = 33. This means Ann drove 33 miles on 1 gallon of gas. To get your answer, simply multiply 5 and 33. 5 times 33 = 165.

Answer:

(d) 7

Step-by-step explanation:

The total number of subsets that can be derived from a set with n elements is given by;

2ⁿ

Out of these subsets, there is one empty set. Therefore, the total number of non-empty subsets is given by;

2ⁿ - 1

Given:

A = {x, y, z}

Set A has 3 elements. This means that n = 3

Therefore, the total number of subsets that can be derived from set A is

2ⁿ = 2³ = 8

One of these 8 subsets is an empty set, therefore, the total number of non-empty subsets of A is;

2ⁿ - 1 = 2³ - 1

8 - 1 = 7

This can be checked by writing all the possible subsets of A as follows;

∅

{x}

{y}

{z}

{x, y}

{y, z}

{x, z}

{x, y, z}

Removing the empty set ∅, the non-empty subsets of A are;

{x}

{y}

{z}

{x, y}

{y, z}

{x, z}

{x, y, z}

Answer:

x = 45°

Step-by-step explanation:

Vertical Angle Theorem

When two straight lines intersect, they form two pairs of angles.  The vertically opposite (non-adjacent) angles are congruent (equal).

From inspection of the given diagram, the straight line with points C and D and the straight line with points F and G intersect at point E.

Therefore, angles ∠FEC and ∠DEG are vertically opposite, and so they are equal.

From inspection of the diagram:

Therefore:

⇒ ∠FEC =∠DEG

⇒  x = 45°

a) To re-express the given differential equation as a first-order differential equation using matrix and vector notation, we can rewrite it in the form:

\(x' = Ax\)

where x is a vector and A is a square matrix.

b) To determine the stability of the system obtained in part (a), we need to analyze the eigenvalues of matrix A.

If all eigenvalues have negative real parts, the system is stable.

If at least one eigenvalue has a zero real part, the system is neutrally stable.

If at least one eigenvalue has a positive real part, the system is unstable.

c) To compute the eigenvalues and eigenvectors of matrix A, we solve the characteristic equation

\(det(A - \lambda I) = 0\),

where λ is the eigenvalue and I is the identity matrix.

By solving this equation, we obtain the eigenvalues.

Substituting each eigenvalue into the equation

\((A - \lambda I)v = 0\),

where v is the eigenvector, we can solve for the eigenvectors.

d) Once we have computed the eigenvalues and eigenvectors of matrix A, we can construct the diagonalization relationship as follows:

\(A = PDP^{(-1)}\)

where P is a matrix whose columns are the eigenvectors of A, and D is a diagonal matrix whose diagonal elements are the eigenvalues of A.

To show that this relationship is valid, we can compute \(PDP^{(-1)}\) and verify that it equals A.

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Answer:

x = 39°

y = 90°

Step-by-step explanation:

Answer:

x = 39°

y = 92°

Step-by-step explanation:

x = 39° because alternate (or z) angles are equal.

x = 92° because all angles in a triangle add up to 180°.

so

49+39=88

angles on a straight line are equal to 180°

180°-88° = 92

Hope this helps!

The equivalent expressions based on the information will be:

i^81 = I

i^52 = 1

i^99 = -i

i^66 = -1

An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

For i^81, 81 will be 4 × 20 + 1

i^81 = i

i^52 will be:

52 = 13 × 4

i^52 = 1

i^99 will be:

99 = 24 × 4 + 3

i^99 = -i

i^66 will be;

66 = 16 × 4 + 3

i^66 = -1

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Answer:

x=58 degrees

Step-by-step explanation:

A line is 180 degrees. So x+90+32=180. 32+90=122. Now you do 180-122 and you will get 58.

Answer: attribute of circle A

Step-by-step explanation: took it ur good

Answer:

Step-by-step explanation:

(-4*5 - 1) + (-4)

(-20 - 1) - 4

-21 - 4

-25

The value of cos ø, for the given coordinates (8, 6), is 4/5 in the lowest terms.

To find the value of cosine (cos) ø, we need the coordinates (8, 6) of a point on the unit circle.

The unit circle is a circle with a radius of 1, and the coordinates (8, 6) do not lie on the unit circle. However, we can use these coordinates to calculate the cosine value indirectly.

First, we need to find the hypotenuse (r) of the right triangle formed by the coordinates (8, 6). We can use the Pythagorean theorem:

r = √(8² + 6²) = √(64 + 36) = √100 = 10

Now, we can find the cosine value by dividing the adjacent side length (x-coordinate) by the hypotenuse:

cos ø = 8 / 10 = 4/5.

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