Given f of x is equal to the quantity 8x plus 1 end quantity divided by the quantity 2x minus 9 end quantity, what is the end behavior of the function?

Answer:

5

Step-by-step explanation:

37 - 4(8)

37 - 32

5

Hope this helps! May I please have brainliest? :)

Answer:

solution given:

total pack of gum=x gums

If 4 friends ask for 8=8×4gum= 32gums

Remaining gums=x-32gums

Answer:

Step-by-step explanation:

The difference of the two values is 4 as calculated by subtraction.

An arithmetic operation called subtraction is the process of deleting or removing items from a collection. The negative symbol (-) denotes subtraction.

The given values for Glasgow and Copenhagen are given as -7.8 and -3.8 .

Therefore difference = -3.8 - (-7.8) = -3.8 +7.8 = 4

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Answer:

-4

x^2

3

Step-by-step explanation:

just find the equation by forming the equation for each section for the given interval

first part is f(x)=4 since it is always 4

second part is f(x)=x^2 since it is a standard quadratic equation

third part is f(x)=3 since it is always 3

Answer:

8

Step-by-step explanation:

using the distance formula

The formulas for the rigid transformations of the figures are listed below:

Case 1: (x, y) → (x - 10, y + 9)

Case 2: (x, y) → (- y, x)

Case 3: (x, y) → (- x, y)

Case 4: (x, y) → (- y, x)

Case 5: (x, y) → (x, - y)

Case 6: (x, y) → (x, y + 10)

In this question we find six cases of rigid transformations applied on figures. The most common rigid transformations are listed below:

Then, by direct inspection, we derive the following rigid transformations:

Case 1 (Translation)

(x, y) → (x - 10, y + 9)

Case 2 (Rotation)

(x, y) → (x · cos (- 270°) - y · sin (- 270°), x · sin (- 270°) + y · cos (- 270°))

(x, y) → (- y, x)

Case 3 (Reflection about y-axis)

(x, y) → (- x, y)

Case 4 (Rotation)

(x, y) → (x · cos 90° - y · sin 90°, x · sin 90° + y · cos 90°)

(x, y) → (- y, x)

Case 5 (Reflection about x-axis)

(x, y) → (x, - y)

Case 6 (Translation)

(x, y) → (x, y + 10)

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Answer:

The answer is B. AAA

Step-by-step explanation:

This (AAA) is one of the three ways to test that two triangles are similar . ... If all three angles in one triangle are the same as the corresponding angles in the other, then the triangles are similar.

Answer:

B.

Step-by-step explanation:

The value of S, which represents the length of each side of the square, is 4 miles.

To find the value of S, we need to determine the length of each side of the square. Given that the perimeter of the square is 16 miles, we can use the formula for the perimeter of a square, which is 4 times the length of a side.

Perimeter = 4 × S

Given that the perimeter is 16 miles, we can substitute this value into the equation:

16 = 4 × S

To solve for S, we divide both sides of the equation by 4:

16 ÷ 4 = S

4 = S

Therefore, S, which stands for the square's side lengths, has a value of 4 miles.

So, S = 4 miles.

This means that each side of the square measures 4 miles, and the square has equal sides and right angles at each corner.

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The first step we need to follow is to find the slope of the perpendicular line to -2x-3y = -6.

Then, we have:

Then, the equivalent equation for the line has a slope of m1 = - 2/3. The perpendicular line must have an inverse and reciprocal to this slope, that is m2 = 3/2. The product of these slopes must be -1, that is: m1 * m2 = -2/3 * 3/2 = -1.

The second step is to find the line equation for the perpendicular. We know that it has a slope of m = 3/2, and that passes through the point (-5, 3). Then, we can use the point-slope form of the line:

Then

The Standard Form of the line is of the form:

Then, taking the previous equation:

Therefore, the Standard Form of the equation is -3x + 2y = 21.

Answer:-3x + 2y = 21.

Step-by-step explanation:

The first step we need to follow is to find the slope of the perpendicular line to -2x-3y = -6.

Then, we have:

Then, the equivalent equation for the line has a slope of m1 = - 2/3. The perpendicular line must have an inverse and reciprocal to this slope, that is m2 = 3/2. The product of these slopes must be -1, that is: m1 * m2 = -2/3 * 3/2 = -1.

The second step is to find the line equation for the perpendicular. We know that it has a slope of m = 3/2, and that passes through the point (-5, 3). Then, we can use the point-slope form of the line:

Then

The Standard Form of the line is of the form:

Then, taking the previous equation:

Therefore, the Standard Form of the equation is -3x + 2y = 21.

Answer:

Since there are already 2 angles shown, which are 48 and 90 (indicated by the square in the bigger triangle, we can set up an equation.

48 + 90 + y = 180

138 + y = 180

-138 + 138 + y = 180 - 138

y = 42°

The reaction will produce 4.8 mol of CaO.

How does a mole work?

The unit of measurement used by chemists known as a mole is very significant. In the same way that having a dozen eggs implies you have twelve eggs, having a mole of anything indicates you have 602,214,076,000,000,000,000,000 of that thing.

                             When measuring very small objects like atoms, molecules, or other particles, chemists must use moles.

The balanced equation is

Fe₂O₃ + Ca₃(PO₄)₂ ⟶2FePO₄ + 3CaO

You want to convert moles of Fe₂O₃ to moles of CaO.

The molar ratio is 3 mol CaO:1 mol Fe₂O₃.

Moles of CaO = 1.6 mol Fe₂O₃ × (3 mol CaO/1 mol Fe₂O₃)

Moles of CaO = 4.8 mol CaO

The reaction will produce 4.8 mol of CaO.

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The complete question is -

how many moles of calcium oxide will be produced when 1.6 moles of Iron(III)oxide reacts with calcium phosphate according to the following (unbalanced) reaction: ____ Fe2O3 + ____ Ca3(PO4)2 —> Fe(PO4) + CaO

M = DV = 3p [2π(2(4-√2) - 2√2) - 2(2-√2)^(3/2) π/3] = 3(4-√2)pπ - 2(2-√2)^(3/2)pπ. Therefore, the mass of the portion of the sphere lying above the plane z= √2 is 3(4-√2) pπ - 2(2-√2)^(3/2)pπ.

The problem requires to determine the mass of the portion of the sphere that lies above the plane z=√2. The density of a spherical solid of radius 2, centered at the origin, is given by D(p)=3p grams per cm^3. Therefore, we can find the mass of the portion of the sphere that lies above the plane z=√2 by integration.To compute the mass, we need to find the volume of the portion of the sphere lying above the plane z= √2, and multiply this by the density. As the sphere is centered at the origin and has a radius of 2, its equation is given by: x² + y² + z² = 4The intersection of the sphere with the plane z=√2 gives a circle with radius 4 - √2. This is the base of the portion of the sphere that lies above the plane z=√2. To find the volume of this portion of the sphere, we can use cylindrical coordinates.

The circle that is the base lies in the plane z=√2, so we take z as the vertical coordinate, and use polar coordinates (r, θ) for the horizontal plane: 0 ≤ r ≤ 4 - √2 , 0 ≤ θ ≤ 2πThe height of the portion is given by the difference between the upper and lower bounds of the z-coordinate. For points on the sphere, the height is given by z = √(4 - x² - y²), so the upper bound of the height is given by z = √(4 - r²), and the lower bound by z = √2. Therefore, the integral for the volume is given by:V = ∫∫∫V dV = ρ∫∫∫V dV = 3p ∫02π∫0^(4-√2) ∫√2^(√(4-r²)) rdzdrdθ.

We can integrate with respect to z first to get:V = 3p ∫02π∫0^(4-√2) (r(√(4-r²)) - r√2) drdθNow, we can integrate with respect to r: V = 3p ∫02π[-(2-r²)^(3/2)/3 + 2(4-√2) - 2√2] dθ= 3p [2π(2(4-√2) - 2√2) - 2(2-√2)^(3/2) π/3]Finally, multiplying by the density, we get the mass: M = DV = 3p [2π(2(4-√2) - 2√2) - 2(2-√2)^(3/2) π/3] = 3(4-√2)pπ - 2(2-√2)^(3/2)pπTherefore, the mass of the portion of the sphere lying above the plane z= √2 is 3(4-√2)pπ - 2(2-√2)^(3/2)pπ.

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Answer:

23,21 pounds

Step-by-step explanation:

4387/189 = 23,21

Answer: 113

Step by Step explanation:  

12/2=6

inches.π⋅6^2≈113

The area of the circle with diameter 12 units is 113.04 square units.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

The given circle has a diameter of 12.

We have to find the area of the circle.

The formula for Area of circle=πr²

Radius of circle = Diameter/2

=12/2

Radius=6

Now let us put r value in Area of circle formula

A=3.14×6²

=3.14×36

=113.04 square units.

Hence, the area of the circle with diameter 12 units is 113.04 square units.

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Answer:

19

Step-by-step explanation:

Answer:

1.13 ft

Step-by-step explanation:

use the equation then fill in the missing values. when you have your answer round to the nearest thousandths.

Answer: 22 because 2x 11 = 22

Hope I helped

Pls give me brainlist.

Step-by-step explanation:

Answer: 22

Step-by-step explanation:

perimeter = a+b+c+d

84 = 4x+4x+(4x+2)+(4x+2)

84 = 16x + 4

80 = 16x

5 = x

length:

=4x+2

=4(5)+2

=22

Rotation is the type of rigid transformation which is equivalent of two reflections across intersecting lines.

Define rigid transformation

A rigid  transformation is a transformation that persists the original size or shape of a given figure. Examples of rigid transformations are rotation, reflection etc;  

In mathematics a rigid transformation is also known as Euclidean Isometry or Euclidean transformation. Euclidean Isometry deals mainly with transformation of any figure. But, doesn't changes the length, shape or size of a given figure.

The concept of of two reflections across intersecting lines is equivalent to single rotation transformation of the original figure.  

Therefore the rigid transformation or Euclidean  isometry which is similar to two reflections across intersecting lines is rotation.  

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Answer:

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

Solve in below steps, using log and exponent rules:

A drip rate is the amount of fluid that is being infused into the body of a patient per minute.

The drip rate per minute is 31 drops per minute.

This is usually indicated in drops per minute. In this problem, we have been given the following details:

Volume = 1 liter (1000 cc)

Time = 8 hours (480 minutes)

Drop factor = 15 gtt/cc

We need to determine the drip rate per minute.

Here's how we can calculate it:

Step 1: Find the total number of drops needed for 1 liter of D5LR. We know that 1 cc of the solution has 15 drops. Therefore, 1 liter (1000 cc) will have: 15 drops/cc x 1000 cc = 15,000 drops

Step 2: Determine the drip rate per minute. To infuse 15,000 drops in 8 hours (480 minutes),

we need: 15,000 drops / 480 minutes = 31.25 drops/minute (rounded off to the nearest whole number)

Therefore, the drip rate per minute is 31 drops per minute.

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i'm gonna assume that "leg" refers to length of the triangle, so comment if you think it is wrong.

Now when it comes to a right-angled triangle, the pythagoras theorem formula can be used.

Using algebra,

let the missing length be X.

By pythagoras theorem,

5² = 3² + X²

5² - 3² = X²

X² = 5² - 3²

X = sq root ( 5² - 3² )

= 4 m

Therefore, the length of the missing leg is 4m .

Answer:

1 1/2 cups

Step-by-step explanation:

original amount = 2 1/4 cups = (2 × 4 + 1)/4 cups = 9/4 cups

2/3 of original amount = 2/3 × 9/4 cups = 18/12 cups = 3/2 cups = 1 1/2 cups

Answer:

Save without the temptation of touching it. Earn attractive interest. Better Articulation. Showcase your Strengths.

Answer:

b) around 6 years

c) around 2,500

Step-by-step explanation:

Answer: 35.1

Step-by-step explanation:

Note that the altitude to the hypotenuse splits the hypotenuse into segments of lengths 16 and 28.

Using the geometric mean theorem, the length of the altitude to the hypotenuse is \(\sqrt{16(28)}=8\sqrt{7}\).

Using the Pythagorean theorem, \(x=\sqrt{(8\sqrt{7})^2 +28^2} \approx 35.1\).

Answer:

We have the equation A*C = A

Now, as both sides of the equality are the same thing, we can do the same operation to both sides and the equality will remain true.

We can divide both sides by A and get:

(A*C)/A = A/A

C = 1

So here we finded the value of A.

If A and C are matrices, then C is the identity matrix.

Using the Fundamental Counting Theorem, it is found that 3,250,000,000 phone numbers are possible.

It is a theorem that states that if there are n things, each with \(n_1, n_2, \cdots, n_n\) ways to be done, each thing independent of the other, the number of ways they can be done is:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

In this problem:

Hence:

\(T = 325 \times 10^7 = 3,250,000,000\)

3,250,000,000 phone numbers are possible.

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Answer:

-(m-9.6)/5=-0.9

-m+9.6=-0.9x5

-m+9.6=4.5

-m=4.5-9.6

-m=-5.1

m=5.1

Answer:

D. Both

Step-by-step explanation:

If you look at one line at a time you'll see that they actually show the exact same thing but the lines are in different spots! Hope this helps!^^