Solve inequality.
-b/5 ≥ -6

Answer:

1,4,9,25,36,49,64,81,100,121,144

Question: What numbers make up the perfect squares

Answer:  

A perfect square is a number that can be expressed as the product of two equal integers.

Step-by-step explanation:

9 9 is a perfect square because it can be expressed as 3 * 3 (the product of two equal integers) 16 16 is a perfect square because it can be expressed as 4 * 4 (the product of two equal integers)

Answer:

.7

Step-by-step explanation:

30/.7 is 21

Answer:

.7

Step-by-step explanation:

21/30=.7

The minimum value of the objective function subject to the given constraints is 48 and it occurs at (6,0).

The given problem is:

min 8x₁ + 6x₂ subject to4x₁ + 2x₂ ≥ 20−6x₁ + 4x₂ ≤ 12x₁ + x₂ ≥ 6x₁ + x₂ ≥ 0

The feasible region is as follows:

Firstly, plot the following lines:4x₁ + 2x₂ = 20-6x₁ + 4x₂ = 12x₁ + x₂ = 6x₁ + x₂ = 0On plotting, the following graph is obtained:

Now, let's check each option one by one:

a. 4x₁ + 2x₂ ≥ 20

The feasible region is the region above the line 4x₁ + 2x₂ = 20.

b. −6x₁ + 4x₂ ≤ 12

The feasible region is the region below the line −6x₁ + 4x₂ = 12.c. x₁ + x₂ ≥ 6

The feasible region is the region above the line x₁ + x₂ = 6.d. x₁ + x₂ ≥ 0

The feasible region is the region above the x-axis.

Now, check the point of intersection of the lines.

They are:(10,0),(2,4),(6,0)The point (2,4) is not in the feasible region as it lies outside it.

Therefore, we reject this point.

The other two points, (10,0) and (6,0) are in the feasible region.

Now, check the values of the objective function at these two points.

Objective function value at (10,0): 80

Objective function value at (6,0): 48

Therefore, the minimum value of the objective function subject to the given constraints is 48 and it occurs at (6,0).

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Answer: 4

Step-by-step explanation: yup

Answer:

4

Step-by-step explanation: 2 finger another 2 fingers B O O M  4

Therefore , the solution of the given problem of combination comes out to be  479001.6.

Combinations are mathematical procedures that count the number of possible configurations from a set of items, where the selection direction is immaterial. You can select any arrangement of the parts in any combination. It's possible to mix together combinations and permutations.

Here,

Given : four ambassadors and one advisor for each of them are to be seated at a round table with 12 chairs numbered in order 1 to 12..

and n ways for seating 8 people.

Thus , to find this permutation- combination arrangement .

So,

nPr => 6 P 6 and * 12P6

nPr =>  665280 * 720

nPr = > 47,90,01,600

and divide it by 1000 .

So ,

=> 479001600/1000

=> 479001.6

Therefore , the solution of the given problem of combination comes out to be  479001.6.

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Answer:

Five Sixths is the word form of Fraction A.

Three fours is the word form of Fraction B.

Step-by-step explanation:

Fraction A = 5 / 6

Its word form = Five Sixths

Fraction B = 3 / 4

Its word form = Three Fours

Answer:

What is the word form of Fraction A?

✔ five-sixths

What is the word form of Fraction B?

✔ three-fourths

Answer:

plz give brainliest <3

Step-by-step explanation:

Answer:

a. Mirabeau B. Lamar

b. Sam Huston

c. Sam Huston

d. Sam Huston

Answer:

6

Step-by-step explanation:

The volume of the right prism with a base area of 10 square feet and a height of 6 feet is 60 cubic feet.

A prism is a polyhedron that has a base and a top face that are the same in size and shape, with sides connecting them that are rectangles in a right prism.

A right prism is a prism in which all of the side faces are perpendicular to the base.

Therefore, the height of the right prism is perpendicular to the base as well.

A right prism has a volume equal to the product of the base area and the height.

This formula can be represented as:

V = Bh

Here, B represents the area of the base, and h represents the height.

The volume of the right prism can be found by multiplying the area of the base by the height of the prism, according to the formula:

V = Bh.

In this problem, the area of the base of the prism is given to be 10 square feet.

The height of the prism is 6 feet.

We can simply substitute these values into the formula to obtain the volume of the right prism as follows:

V = BhV

   = 10 × 6V

   = 60

Therefore, the volume of the right prism is 60 cubic feet.

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Answer:

6 square units

Step-by-step explanation:

Given shape is of a trapezoid:

\(area \: of \: trapezoid \\ = \frac{1}{2} \times (4 + 2) \times 2 \\ \\ = 6 \: {units}^{2} \)

Area of shape = area of square + area of triangle

\( = 2^2 + \frac{1}{2} \times 2\times 2\\

= 4 + 2\\

= 6\: units^2 \\\)

Thee factory is able to provide 94.38 boxes per hour to the warehouse.

Rate = (2000 - 1245) / 8 = 94.38 boxes per hour

Therefore, the factory is able to provide 94.38 boxes per hour to the warehouse.

Boxes added in 40 hours = rate * time = 94.38 * 40 = 3,775.2

Therefore, the inventory at the end of a 40-hour work week would be:

1245 + 3775.2 = 5020.2 boxes

rate = (50000 - 1245) / time

Simplifying this equation, we get:

time = (50000 - 1245) / rate = 511.64 hours (rounded to two decimal places).

Therefore, it will take approximately 511.64 hours to fill the warehouse to its 50,000 box capacity,

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Answer:

442

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

1/2x3x2

1.5x2

3

Hope this helps :)

The Ksp(solubility product constant) of the lactose dissolution process at 20°C is 0.234.

The Ksp  can be determined from the saturation concentration of a compound in a solution. In this case, we are given that the saturation concentration of lactose at 20°C is 234 mM.

The dissolution of lactose is represented by the equation:
C12H22O11(s) ⇄ C12H22O11(aq)

The solubility product constant (Ksp) for this process can be calculated using the equation:
Ksp = [C12H22O11(aq)]

To find the value of Ksp, we need to convert the concentration from mM (millimoles per liter) to M (moles per liter). Since 1 mM is equal to 0.001 M, the concentration of lactose in M can be calculated as follows:

234 mM × 0.001 M/mM = 0.234 M

Therefore, the Ksp of the lactose dissolution process at 20°C is 0.234.

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The measurement of AMB in this Isosceles Triangle is equal to 90°, which is a right-angle as shown in the attached image.

An isosceles Triangle is a type of triangle that has two equal opposite sides and also has two opposite angles equal with one adjacent angle different from the rest. The sum of all angle of an Isosceles Triangle is 180° just like in other triangles.

In other words, in geometry when two sides of a triangle are equal, note that the angles opposite those sides will also be equal.

Angle bisectors are lines drawn in such a way that it divides an angle in two equal angles. In geometry, anytime a line is drawn to divide an angle [Shape or Object] into two equal parts that line is referred to as an angle bisector.

Subject to the question and with reference to the attached image, Triangle ABC is an isosceles triangle where;

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Answer:

g]

Step-by-step explanation:

Given function:y = √(1 – x³)We need to find dy/dx.As per the chain rule of differentiation, if y = f(u) and u = g(x), then the derivative of y with respect to x is given by dy/dx = dy/du * du/dx.

Now, let u = 1 – x³. Then, y = √u ⇒ y = u^(1/2).

dy/dx = dy/du * du/dxdy/du = 1/(2√u) = 1/(2√(1 – x³))du/dx = -3x²Therefore, dy/dx = dy/du * du/dx = 1/(2√(1 – x³)) * (-3x²) = (-3x²)/(2√(1 – x³)).

Therefore,  (A) 3(1 - x²)².Option (A) is the correct answer.

The given function is y = √(1 – x³) and we need to find dy/dx. As per the chain rule of differentiation, if y = f(u) and u = g(x), then the derivative of y with respect to x is given by dy/dx = dy/du * du/dx.

Let u = 1 – x³. Then, y = √u ⇒ y = u^(1/2).

We need to find dy/dx.dy/dx = dy/du * du/dxdy/du = 1/(2√u) = 1/(2√(1 – x³))du/dx = -3x².

Therefore, dy/dx = dy/du * du/dx = 1/(2√(1 – x³)) * (-3x²) = (-3x²)/(2√(1 – x³)).

Thus, dy/dx = (-3x²)/(2√(1 – x³)).Therefore, the correct option is (A) 3(1 - x²)².  

The derivative of the given function y = √(1 – x³) with respect to x is (-3x²)/(2√(1 – x³)) and the correct option is (A) 3(1 - x²)².

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The solution to the given differential equation is \(y = a_0x^{[0]} + a_1x^{[1]} + a_2x^{[2]}\), where a_0, a_1, and a_2 are constants.

To fathom the given differential equation, xy'' + y' = 0, we will begin by expecting a control arrangement of the frame y = ∑(n=0 to ∞) a_nx^n, where a_n speaks to the coefficients to be decided.

Separating y with regard to x, we get:

\(y' = ∑(n=0 to ∞) a_n(nx^[(n-1))] = ∑(n=0 to ∞) na_nx^[(n-1)]\)

Separating y' with regard to x, we get:

\(y'' = ∑(n=0 to ∞) n(n-1)a_nx^[(n-2)]\)

Presently, we substitute these expressions for y and its subsidiaries into the differential condition:

\(x(∑(n=0 to ∞) n(n-1)a_nx^[(n-2))] + (∑(n=0 to ∞) na_nx^[(n-1))] =\)

After improving terms, we have:

\(∑(n=0 to ∞) n(n-1)a_nx^[(n-1)] + ∑(n=0 to ∞) na_nx^[n] =\)

Another, we compare the coefficients of like powers of x to zero, coming about in a boundless arrangement of conditions:

For n = 0: + a_0 = (condition 1)

For n = 1: + a_1 = (condition 2)

For n ≥ 2: n(n-1)a_n + na_n = (condition 3)

Disentangling condition 3, we have:

\(n^[2a]_n - n(a_n) =\)

n(n-1)a_n - na_n =

n(n-1 - 1)a_n =

(n(n-2)a_n) =

From equation 1, a_0 = 0, and from equation 2, a_1 = 0.

For n ≥ 2, we have two conceivable outcomes:

n(n-2) = 0, which gives n = or n = 2.

a_n = (minor arrangement)

So, the solution to the given differential equation is \(y = a_0x^{[0]} + a_1x^{[1]} + a_2x^{[2]}\), where a_0, a_1, and a_2 are constants.

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Answer:

If u r using rise/run, then it is 6/4

Step-by-step explanation:

The metric system is an international system of measurement that uses the base unit of the meter to measure length or distance. The meter is defined as the length of the path traveled by light in a vacuum during a specific fraction of a second.

It is an essential unit of the International System of Units (SI) and is used to measure distance, length, height, and width in most countries worldwide.

The meter is equivalent to approximately 39.37 inches, making it a longer unit of measurement than the inch, which is used in the imperial system of measurement. The metric system is based on a decimal system, which makes it easier to convert between units of length. For instance, one kilometer (km) is equal to 1,000 meters, and one centimeter (cm) is equal to 0.01 meters.

The metric system is widely used in science, industry, and daily life. It is the standard system of measurement used in most countries worldwide, except for the United States, which primarily uses the imperial system of measurement. However, it is essential to understand the metric system, as it is becoming increasingly popular in many fields and is a fundamental part of global communication.

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Answer:

choice 1) corresponding angles

choice 1) vertical angles

Step-by-step explanation:

Answer:

On the first one, angles 1 and 5 are corresponding angles and on the second one, angles 2 and 3 are vertical angles.

Step-by-step explanation:

brainliest

Let's say the new crew of painters can paint the small apartment in x hours, and the experienced crew can paint the small apartment in y hours. Let the time taken by the new crew of painters to paint the small apartment be N hours, and the time taken by the experienced crew be E hours.

We are supposed to find the time it takes for both crews to paint the apartment together.

Step 1: Find the work rate of each crew.
The new crew's work rate is 1/N (apartments painted per hour).
The experienced crew's work rate is 1/E (apartments painted per hour).

Step 2: Calculate the combined work rate of both crews.
Combined work rate = New crew's work rate + Experienced crew's work rate
Combined work rate = (1/N) + (1/E)

Step 3: Find the time it takes for both crews to paint the apartment together.
Let T be the time it takes for both crews to paint the apartment together. Their combined work rate can be expressed as the reciprocal of T.

1/T = (1/N) + (1/E)

Step 4: Solve for T.
T = 1 / [(1/N) + (1/E)]

So, it takes T hours to paint the apartment when the two crews work together. Once you know the specific values of N and E, you can plug them into the equation and solve for T to find the solution.

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Answer:

f = 8

Step-by-step explanation:

Step 1:

f - ( - 4 ) = 12          Equation

Step 2:

f + 4 = 12           Open Parentheses

Step 3:

f = 12 - 4        Subtract 4 on both sides

Answer:

f = 8

Hope This Helps :)

Answer:

F=8

Step-by-step explanation:

subtracting a negative is just addition.

so f+4=12

next get f by itself by subtracting 4 from each side

f=12-4

f=8

Answer:

48

Step-by-step explanation:

the ratio of blue cards to yellow cards can be expressed with

4:3.

the total amount of blue and yellow cards can be interpreted as 4x+3x=7x

then you can find the value of x by dividing 84/7, which is 12

since the value of blue cards is 4x, 4(12) = 48

Answer:

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Best regards

Step-by-step explanation:

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6 times what equals 84?

6 times what equals 84? In other words, what do you multiply by 6 to get 84? If "x" is "what" in the sentence, "6 times what equals 84?", then the equation to solve the problem is as follows:

6 • x = 84

Which can be written as:

6x = 84

To solve the equation above, we need to remove the 6 on the left side to make the x alone. To do that, we divide both sides by 6.

6x/6 = 84/6

6x/6 is x and 84/6 is 14 which means our equation will look like this:

x = 14

Thus, the answer to "6 times what equals 84?" is 14.

Answer:

14

Step-by-step explanation:

cause 84 divided by 6 is 14,then do 14 times 6 and its 84.

The exact length of the shadow cast by the lamp post is 15√3 feet.

We can use the tangent function to solve this problem.

Let's call the length of the shadow x.

We have the angle of elevation of the sun as 60º and the height of the lamp post as 15 ft.

From trigonometry, we know that:

tan 60º = opposite / adjacent

In this case, the opposite side is the length of the shadow (x), and the adjacent side is the height of the lamp post (15 ft).

So we can write:

tan 60º = x / 15

We can simplify the equation using the value of tangent for 60º, which is √3. So we have:

√3 = x / 15

Multiplying both sides by 15, we get:

x = 15 ×√3

Therefore, the exact length of the shadow cast by the lamp post is 15√3 feet.

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