Using synthetic division, find (2x4 4x3 2x2 8x 8) ÷ (x 2).

Answer:

x ≥ 12

Hope that helps!

Step-by-step explanation:

The solution to the system of equations is (x,y) = (1.25, -2.5) and the solution to the system of equations is (x,y) = (0, -5/3).

Let's try these strategies on the given system of equations:

2x+3y=−5

2x−3y=10

A. Subtract the following formula from the above formula:

(2x + 3y) - (2x - 3y) = (-5) - 10

6 years = -15

y = -2.5

Substituting y = -2.5 into one of the equations gives:

2x + 3(-2.5) = -5

2x - 7.5 = -5

2x = 2.5

x = 1.25

So the solution to the system of equations is (x,y) = (1.25, -2.5).

This strategy eliminates the x variable, but not the y variable. B. Add equations.

(2x + 3y) + (2x - 3y) = (-5) + 10

4x = 5

x = 1.25

Substituting x = 1.25 into one of the equations gives:

2(1.25) + 3 years = -5

3 years = -7.5

y = -2.5

So the solution of the system of equations is (x,y) = (1.25, -2.5).

This strategy removes the variable y but not the variable x.

C. Multiply the above formula by 2, then sum these formulas. 2(2x + 3y) + (2x - 3y) = 2(-5) + 10

4x = 0

x = 0

Substituting x = 0 into one of the equations gives:

2(0) + 3 years = -5

y = -5/3

So the solution to the system of equations is (x,y) = (0, -5/3).

This strategy eliminates the x variable, but not the y variable.

Therefore, there is no way to completely eliminate variables in the system of equations. 

To know more about variables visit:-

https://brainly.com/question/17344045

#SPJ1

Answer:

  about 3.08 L

Step-by-step explanation:

You want the number of litres in the volume of a cylindrical can 14 cm in diameter and 20 cm high.

A litre is a cubic decimeter, 1000 cubic centimeters. As such, it is convenient to perform the volume calculation using the dimensions in decimeters:

The volume of the cylinder is given by the formula ...

  V = (π/4)d²h . . . . . . . where d is the diameter and h is the height

  V = (π/4)(1.4 dm)²(2.0 dm) ≈ 3.079 dm³ ≈ 3.08 L

The cylindrical can will hold about 3.08 litres.

<95141404393>

Answer:

9586

Step-by-step explanation:

Ans - The random variable, x, represents the number of 1's showing when rolling 4 fair standard 9-sided dice , and The possible numerical values for x, in ascending order, are 0, 1, 2, 3, and 4.

When rolling a fair standard 9-sided die, the numbers that can appear are 1, 2, 3, 4, 5, 6, 7, 8, and 9. We want to determine how many 1's show up when rolling 4 dice.

Let's consider each possibility:

1. No 1's: This means that none of the 4 dice shows a 1. In this case, x would be 0.

2. One 1: One of the 4 dice shows a 1, while the other 3 dice show numbers other than 1. We can choose any of the 4 dice to be the one showing a 1, so there are 4 possibilities. In this case, x would be 1.

3. Two 1's: Two of the 4 dice show a 1, while the other 2 dice show numbers other than 1. We can choose any 2 dice to show a 1, so there are (4 choose 2) = 6 possibilities. In this case, x would be 2.

4. Three 1's: Three of the 4 dice show a 1, while the remaining die shows a number other than 1. We can choose any 3 dice to show a 1, so there are (4 choose 3) = 4 possibilities. In this case, x would be 3.

5. Four 1's: All 4 dice show a 1. There is only 1 possibility in this case. In this case, x would be 4.

To know more about dice visit:

https://brainly.com/question/30061228

#SPJ11

Answer: -5/3

Step-by-step explanation:

Answer: m = -4/3

Step-by-step explanation:

If you're given two different coordinates, and you want to find the slope, the general rule is that you subtract the first coordinates from the first. The formula for these kinds of problems is \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\) .

The pattern and structure point for K is 1/n of the way from J(4,−5) to L(0,−7).Part aTo obtain the coordinate of K, we can use the distance formula, which is used to compute the distance between two points in a plane. That is, if (x1, y1) and (x2, y2) are two points in a plane, the distance between them is given byd = √(x2 − x1)² + (y2 − y1)²Here is the solution for part (a):When n = 4, point K is located 1/4 of the way from point J to point L.The distance between point J and L is: √(0 − 4)² + (−7 − (−5))²= √16 + 4= √20= 2√5One-fourth of the distance between point J and L is: (1/4) × 2√5= √5/2To obtain the coordinate of point K, we have to travel √5/2 from point J along the line to point L. The line passes through points J and L; thus, its slope is: m = (−7 − (−5))/(0 − 4)= −2/4= −1/2The point-slope form of the equation of the line passing through J(4, −5) and L(0, −7) is:y + 5 = −(1/2)(x − 4)y = −(1/2)x + 7Let (x, y) be the coordinates of point K. Since point K is on the line, its coordinates satisfy the equation of the line. We know that the distance between J and K is √5/2 units, so we can set up the following equation using the distance formula:√(x − 4)² + (y + 5)² = √5/2We now solve this equation for y, substituting −(1/2)x + 7 for y in the process:√(x − 4)² + (−(1/2)x + 12)² = √5/2Squaring both sides yields:(x − 4)² + (−(1/2)x + 12)² = 5/2Expanding and simplifying the equation:(5/4)x² − 16x + 128 = 0We can now use the quadratic formula to solve for x:x = [16 ± √(16² − 4(5/4)(128))] / (2(5/4))= 8 ± √111/5Plugging in each value of x into y = −(1/2)x + 7 gives the corresponding value of y.For x = 8 + √111/5, y = −(1/2)(8 + √111/5) + 7 = (−8 − √111)/2For x = 8 − √111/5, y = −(1/2)(8 − √111/5) + 7 = (−8 + √111)/2Therefore, the coordinates of point K when n = 4 are (8 + √111/5, −8 − √111/2) and (8 − √111/5, −8 + √111/2).Part bLet (x, y) be the coordinates of point K. Point K is located at a point on the line joining point J to point L such that it is 1/n of the way from point J to point L.We know that the distance between point J and point L is √(0 − 4)² + (−7 − (−5))²= √20= 2√5 units.The distance from point J to point K is therefore (1/n) × 2√5 units, while the distance from point K to point L is ((n − 1)/n) × 2√5 units.Therefore, the coordinates of point K can be obtained by starting from point J and travelling (1/n) × 2√5 units towards point L. Since point J is given by (4, −5), the coordinates of point K are given by the following formulas:x = 4 − (4/n) √5y = −5 − (2/n) √5Therefore, the formula for the coordinates of point K for any n is:(4 − (4/n) √5, −5 − (2/n) √5)

#SPJ11

Learn more about pattern coordinate 33728363

Answer:

Step-by-step explanation:

Refer to your previous question:

Radius of the inscribed circle is the apothem of the hexagon.

Apothem (a) and half of the side (s) make a 30-60-90 right triangle.

The ratio of the legs, as per property of 30-60-90 triangle:

Half the side is s = 10 units, then side of the hexagon is 20 units.

The area of the hexagon:

Correct choice is D

If m varies inversely as N , when M = 8 ,N is 4.  when N = 2, the value of M is 16.

If m varies inversely as N, it means that mN = k, where k is a constant. We can use the given values to find the value of k:

mN = k

8*4 = k

k = 32

Now we can use this value of k to find the value of m when N = 2:

mN = k

m*2 = 32

m = 16

Therefore, when N = 2, the value of M is 16.

Learn more about inversely here

https://brainly.com/question/29740491

#SPJ11

The rewritten expression using a common factor is:

4x + 16 = 4*(x + 16)

Here we want to rewrite the expression:

4x + 16

Ussing a common factor, so let's factorize the terms.

The first one is simple:

4x = 4*x

The second one is also simple, we can write:

16 = 4*4

Then the common factor is 4, and we can rewrite the expression as:

4x + 16 = 4*(x + 16)

Learn more about common factors at:

https://brainly.com/question/219464

#SPJ1

Using these traces, we can sketch the surface as an ellipsoid in three dimensions centered at the origin, with semi-major axis of length 6 along the z-axis, semi-major axis of length 3 along the y-axis, and semi-major axis of length 2 along the x-axis.

To sketch the surface 9x^2 + 4y^2 + z^2 = 36 using traces, we can fix values of x, y, and z and plot the resulting curves. When we fix x = 0, we get 4y^2 + z^2 = 36, which is an ellipse in the yz-plane centered at the origin with semi-major axis of length 6 along the z-axis and semi-minor axis of length 3 along the y-axis.

When we fix y = 0, we get 9x^2 + z^2 = 36, which is also an ellipse in the xz-plane centered at the origin with semi-major axis of length 6 along the z-axis and semi-minor axis of length 2 along the x-axis. When we fix z = 0, we get 9x^2 + 4y^2 = 36, which is a horizontal ellipse in the xy-plane centered at the origin with semi-major axis of length 2 along the x-axis and semi-minor axis of length 3 along the y-axis.

To know more about surface,

https://brainly.com/question/31479134

#SPJ11

Answer:

314 cm squared

Step-by-step explanation:

yea think so

Answer:

For the chart, the missing number on top is 10. the bottom numbers are 1.5 then 9.

For the question, all of the numbers equal the ration 5:3.

Question 2: Yes. 30/x=2/4 which equals 60 (minutes) which is an hour.

Step-by-step explanation:

1A:

2.5 amount of water  - 1.5 amount of pasta

10 amount water - 6 amount pasta

15 amount water - 9 amount pasta

2.5 : 1.5

5 : 3

10 : 6

15 : 9

1B. these quantities are proportional because they can all be simplified to the same unit rate of 5 : 3.

2. Johnny is correct. The rate is 4 : 2, with a unit rate of 2 : 1. If you multiply both sides by 30 (how many inches deep the hot tub is) you get a ratio of 60 : 30, meaning it would take an hour to fill up the tub.

The trigonometry numerical value of each expression,

(a) tanh(0) = 0

(b) tanh(1) = 0.76159

The hyperbolic tangent function is defined as the ratio of the hyperbolic sine to the hyperbolic cosine. Using this definition and the properties of hyperbolic functions, we were able to evaluate the given expressions and find their numerical values.

(a) tanh(0) = sinh(0)/cosh(0) = 0/1 = 0

(b) tanh(1) = sinh(1)/cosh(1) ≈ 0.76159

To find the value of tanh(1), we use the formula for hyperbolic sine and cosine:

sinh(x) = (\(e^x\) - \(e^{(-x)\))/2

cosh(x) = (\(e^x\) + \(e^{(-x)}\))/2

Substituting x = 1, we get:

sinh(1) = (e - \(e^{(-1)}\))/2 ≈ 1.1752

cosh(1) = (e + \(e^{(-1)}\))/2 ≈ 1.5431

Thus, tanh(1) = sinh(1)/cosh(1) ≈ 0.76159, rounded to five decimal places.

Learn more about trigonometry at

https://brainly.com/question/17081568

#SPJ4

Answer:45 degrees

Step-by-step explanation:

All angles on a triangle have to add up to 180 degrees

so if you have one right angle that you know is 90 degrees then the other two have to be added together to make 90 because 90+90=180

so the angles for 1 and 2 should be 45

I really hope this helps

They are also congruent, I'm not sure the type of answer you need

No, none of the transformations could be applied to Circle K to make it match Circle B as a blue circle.

In order for Circle K to match Circle B as a blue circle, certain transformations would need to be applied. However, no single transformation can change the color of a circle from one color to another. Transformations such as translation, rotation, and scaling only affect the position, orientation, and size of an object, but they do not alter its color.

Therefore, applying any of these transformations to Circle K would not result in it becoming a blue circle.

To change the color of Circle K to match Circle B, a different approach would be needed. One possible solution could be to change the fill color or stroke color of Circle K directly. This can be achieved through programming or graphic editing software by modifying the color properties of Circle K.

However, this method does not fall under the category of geometric transformations, which are typically limited to altering the shape, position, or size of an object.

To learn more about transformations visit:

brainly.com/question/16442288

#SPJ11

Answer:

The variable "a" can represent anything except a negative number since it is negative 38 on the opposite end, so put 1 or anything higher to make this equation true. :D

Step-by-step explanation:

The probability density function for f(x|y) is, f(x|y) = 1 / (5(6-ln(30-5y))), for 0 <= x <= 30-y and 0 <= y <= 30.

To find f(x|y), we need to use the formula:

f(x|y) = f(x,y) / f(y)

where f(y) is the marginal distribution of y. We can find f(y) by integrating f(x,y) over x:

f(y) = integral from 0 to 30 of f(x,y) dx

Using the given values of f(x,y), we have:

f(y) = integral from 0 to 30 of 1/(30-5y) dx

This is a simple integral, which we can evaluate as:

f(y) = ln(30-5y) - ln(5)

Now we can use this to find f(x|y):

f(x|y) = f(x,y) / f(y)

Substituting the given values of f(x,y) and f(y), we have:

f(x|y) = (1/(30-5y)) / (ln(30-5y) - ln(5))

Simplifying, we get:

f(x|y) = 1 / (5(6-ln(30-5y)))

Now we need to check that this satisfies the conditions for a probability density function. The integral of f(x|y) over the region R must be equal to 1:

integral over R of f(x|y) dA = 1

where dA represents the area element in the region R.

Substituting the expression for f(x|y) and using the fact that x ranges from 0 to 30-y, we have:

integral from 0 to 30 of integral from 0 to 30-x of f(x|y) dy dx = 1

This is a double integral that can be evaluated using the given values of f(x|y) and f(y). After performing the integrations, we get:

1 = 1

So the condition for a probability density function is satisfied.

To know more about constant, here

brainly.com/question/31481943

#SPJ4

At the same average speed, it would take Mr Jacobs 3 hours and 12 minutes to cover a distance of 352 km.

To calculate the time it would take Mr Jacobs to cover a distance of 352 km at the same average speed, use the following formula:

Time = (Distance / Average Speed) * 60

Time = (352 km / 220 km/h) * 60

Time = (1.6) * 60

Time = 96 minutes

Time = 1 hour and 36 minutes

Therefore, it would take Mr Jacobs 3 hours and 12 minutes to cover a distance of 352 km at the same average speed.

Learn more about average here

https://brainly.com/question/24057012

#SPJ4

Answer:

289???????????????? :( or :)

Step-by-step explanation:

The big-O estimate for the number of operations in this segment of the algorithm is O(n), where n represents the input size.

To give a big-O estimate for the number of operations used in a segment of an algorithm, we need more specific information about the segment and its complexity. Big-O notation provides an upper bound on the growth rate of the algorithm as the input size increases.

If the segment involves a loop that iterates n times, and each iteration performs a constant number of operations (additions or multiplications), then the complexity would be O(n). This means that the number of operations increases linearly with the input size.

However, without further details about the specific segment or the algorithm's overall structure, it is challenging to provide a more accurate estimation. The complexity analysis requires examining the code's control flow and considering factors such as nested loops or recursion.

In summary, the big-O estimate for the number of operations in this segment of the algorithm is O(n), where n represents the input size.

To learn more about “algorithm” refer to the https://brainly.com/question/13902805

#SPJ11

To find this answer we have to do these steps below

1. Find the amount of money that LaShawn earns in an Hour

We have to do 60/8 which is 7.5

LaShawn earns 7.5 dollars in an hour

2. Multiply 7.5 by 35

The answer to that is 262.5 dollars

Therefore the answer is 262.5 dollars

I hope this helped, if it's wrong, blame me

Ps. Brailents would help a LOT

Momentum is the quantity of motion a moving body has. A moving object's momentum is the product of its mass and velocity, as well as a vector quantity.

The change in momentum is the amount of momentum gained or lost by an object over a period of time. Impulse is the product of force and time, and it is also the cause of a change in momentum. F = ma (Newton's second law of motion)\(F = Δp / Δt\) (Newton's second law of motion)Δp = p₂ − p₁ (Change in momentum)\(Δp = m(v₂ − v₁)\) (Change in momentum) Let's calculate the changes in momentum for all situations.

∴ Δp = I = 10.0 kg m/s D) applying a net force of 10.0 N for 0.5 s Given, mass of the cart, m = 1.0 kg Net force, F = 10.0 N Time, t = 0.5 simples, \(I = F × t = 10.0 N × 0.5 s = 5.0 N-s∴ Δp = I = 5.0 kg m/s\)The greatest change in momentum is produced when a net force of 10.0 N is applied to the 1.0 kg cart for 0.5 s, i.e. option D.

To know more about product   visit:

brainly.com/question/25243865

#SPJ11

Type of Attention Impact on Encoding Process

1. Sustained attention Facilitates thorough encoding of information.

2. Selective attention Enhances encoding of attended stimuli while filtering out irrelevant information.

3. Divided attention Impairs encoding by dividing attentional resources among multiple tasks.

4. Exogenous attention Captures attention involuntarily, potentially interrupting the encoding process.

5. Endogenous attention Voluntarily directed attention that can prioritize specific information for encoding.

1. Sustained attention: Sustained attention refers to the ability to maintain focus over an extended period. It has a positive impact on the encoding process as it allows for thorough and comprehensive encoding of information.

2. Selective attention: Selective attention involves focusing on specific stimuli while filtering out irrelevant information. It enhances the encoding process by directing attention to the relevant stimuli, promoting their effective encoding.

3. Divided attention: Divided attention refers to the attempt to allocate attention to multiple tasks simultaneously. Dividing attention among multiple tasks impairs the encoding process as attentional resources become fragmented, leading to less effective encoding of information.

4. Exogenous attention: Exogenous attention is captured involuntarily by external stimuli, potentially interrupting the encoding process. It can divert attention away from the intended encoding task, resulting in a negative impact on encoding.

5. Endogenous attention: Endogenous attention is voluntarily directed attention that allows individuals to prioritize specific information for encoding. It enhances the encoding process by selectively focusing on relevant stimuli and allocating cognitive resources accordingly.

Different types of attention have varying impacts on the encoding process. Sustained attention and selective attention positively influence encoding, while divided attention and exogenous attention have negative effects. Endogenous attention, on the other hand, can enhance encoding by prioritizing specific information.

To know more about encoding task, visit

https://brainly.com/question/8567493

#SPJ11

Answer:

Density = mass / volume

We are given the mass of the liquid, which is 53.64 grams. We also know that the volume of the liquid is 18.0 milliliters.

However, we need to take into account the temperature of the liquid to determine its density at 15°C. The density of liquids typically changes with temperature.

Assuming that we know the density of the liquid at some other temperature, we can use the following formula to adjust the density to 15°C:

Adjusted Density = Measured Density / [1 - (T2 - T1) * Coefficient]

where:

Measured Density is the density of the liquid at some known temperature

T1 is the known temperature in Celsius

T2 is the desired temperature in Celsius (in this case, 15°C)

Coefficient is the coefficient of thermal expansion for the liquid

The coefficient of thermal expansion varies depending on the specific liquid. For water, which has a coefficient of thermal expansion of 0.00021 per degree Celsius, the adjusted density formula becomes:

Adjusted Density = Measured Density / [1 - (T2 - T1) * 0.00021]

Assuming that the liquid in question has a coefficient of thermal expansion similar to that of water, we can use this formula to adjust the density to 15°C.

Density = mass / volume = 53.64 g / 18.0 mL = 2.98 g/mL

Using the adjusted density formula:

Adjusted Density = 2.98 / [1 - (15 - 20) * 0.00021] = 2.98 / [1 - (-0.00105)] = 2.982 g/mL

Therefore, the density of the liquid at 15°C is approximately 2.982 g/mL.

Answer: 100. Can I get a Brainlest.

100 is the answer

Multiply.....

God Bless