Han and Tyler are following a polenta recipe that uses 5 cups of water for every 2 cups of cormeal

The two solutions of the equation x2 - 4x + 1 = 0 are x = 2 + √3 and x = 2 - √3.

A quadratic equation is an equation that can be written in the form ax2 + bx + c = 0, where a, b, and c are real numbers and a is not equal to 0. Solving a quadratic equation involves finding the value of x that makes the equation true. This can be done in multiple ways, but the most common method is to use the Quadratic Formula. The Quadratic Formula states that the roots (or solutions) of a quadratic equation can be found using the following formula:

x = [-b ± √(b2 - 4ac)]/2a

For example, consider the equation x2 - 4x + 1 = 0. In this equation, a = 1, b = -4, and c = 1. Plugging these values into the Quadratic Formula gives us:

x = [-(-4) ± √((-4)2 - 4(1)(1))]/2(1)

Simplifying this equation, we get:

x = [4 ± √(16 - 4)]/2

Finally, simplifying further yields the following two solutions:

x = (4 ± √12) /2

x = 2 ±√3

Learn more about quadratic equation here:

https://brainly.com/question/30098550

#SPJ4

Answer:

y = 5 - 3x

Step-by-step explanation:

3x + y = 5 ( subtract 3x from both sides )

y = 5 - 3x

Answer:

y = 5 - 3x

making y the subject:

changing sides, changes positive (+) sign to negative (-)

changing sides, changes negative (-) sign to positive (+)

The value of r that indicates a stronger correlation is option (C) r = -0.912 represents a stronger correlation because |-0.912|>|0.721|

The value of the correlation coefficient, denoted by "r", ranges from -1 to 1. A correlation of -1 indicates a perfect negative correlation, 0 indicates no correlation, and 1 indicates a perfect positive correlation. The absolute value of the correlation coefficient (|r|) represents the strength of the correlation, where the closer |r| is to 1, the stronger the correlation is.

In this case, r = 0.721 indicates a moderate positive correlation, while r = -0.912 indicates a strong negative correlation. The absolute value of -0.912 is greater than the absolute value of 0.721, indicating that the strength of the negative correlation is stronger than the strength of the positive correlation.

Therefore, the correct option is (C) r = -0.912 represents a stronger correlation because |-0.912|>|0.721|

Learn more about correlation coefficient here

brainly.com/question/27226153

#SPJ4

Nοam made a tοtal οf 7.5 quarts οf applesauce in all.

The quart is an English unit οf vοlume equal tο a quarter gallοn. Three kinds οf quarts are currently used: the liquid quart and dry quart οf the US custοmary system and the imperial quart οf the British imperial system.

All are rοughly equal tο οne litter. It is divided intο twο pints οr (in the US) fοur cups. Histοrically, the exact size οf the quart has varied with the different values οf gallοns οver time and in reference tο different cοmmοdities.

Given that,

Nοam made - 5 quarts

There are 2 pints in 1 quart, sο 5 pints is equal tο 5/2 = 2.5 quarts.

Therefοre, Nοam made a tοtal οf 5 + 2.5 = 7.5 quarts οf applesauce in all.

To know more about quarts  this visit,

https://brainly.com/question/13798723

#SPJ1

Answer:

10 days

Step-by-step explanation:

3 kilograms -> 3000 grams

3000 grams / 300 grams per day = 10 days of food. (that is a lot for a dog to eat-)

Answer:

Hello!

Let's simply divide our two numbers to find how many carriages we need.

22/4=5.5

The thing is, we cannot have 5.5 carriages. We can just have an extra carriage with only 2 people. This gives us 6 carriages.

Therefore, our answer is 6.

I hope this helps!

Six carriages are needed to move a group of 22 people.

In mathematics, divides left-hand operands into right-hand operands in the division operation.

To find the number of carriages needed for a group of 22 people to ride, we need to divide the total number of people by the number of people each carriage can hold.

Each carriage can hold 4 people,

⇒ 22 / 4 = 5.5 carriages.

Since we cannot have half a carriage, we will need to round up to the nearest whole number, which means we will need 6 carriages.

Therefore, the number of carriages needed for a group of 22 people to ride is 6.

To learn more about the division operation click here :

brainly.com/question/25870256

#SPJ2

Answer:

1436.8

Step-by-step explanation:

the second number after the decimal is 5 so we rounded the first number up

Answer:

363.741 feet

Step-by-step explanation:

Let the height of the cliff be represented by x. Applying the appropriate trigonometric function, we have;

Tan θ = \(\frac{opposite side}{adjacent side}\)

Tan \(60^{0}\) = \(\frac{x}{210}\)

cross multiply to have;

   x = 210 × Tan \(60^{0}\)

      = 210 × 1.7321

      = 363.741

The cliff is 363.741 feet high.

Answer:

Point Form:

(−3,−1)

Equation Form:

x=−3,y=−1

Step-by-step explanation:

The solutions of the quadratic equation x² + 2x - 24 = 0 are x = -6 and x = 4.

To find the solutions of the quadratic equation, we can use the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a). In the given equation, a = 1, b = 2, and c = -24.

Plugging these values into the quadratic formula, we have:

x = (-(2) ± √((2)² - 4(1)(-24))) / (2(1))

 = (-2 ± √(4 + 96)) / 2

 = (-2 ± √100) / 2

 = (-2 ± 10) / 2

Simplifying further, we get:

x = (-2 + 10) / 2 = 8 / 2 = 4

x = (-2 - 10) / 2 = -12 / 2 = -6

Therefore, the solutions to the quadratic equation x² + 2x - 24 = 0 are x = -6 and x = 4.

The quadratic equation x² + 2x - 24 = 0 has two solutions: x = -6 and x = 4. These solutions can be found by using the quadratic formula, which involves substituting the coefficients of the equation into the formula and solving for x. In this case, plugging the values of a = 1, b = 2, and c = -24 into the quadratic formula yields the two solutions mentioned above.

To know more about Equation, visit

https://brainly.com/question/29174899

#SPJ11

To say "the ball picked up the same amount of speed in each successive time interval" means that the ball's speed increased by an equal amount during each subsequent time period.

When we say that the ball picked up the same amount of speed in each successive time interval, it means that the ball's velocity increased by a consistent value during each subsequent period of time. In other words, the ball experienced the same acceleration in each interval.

For example, let's say we observe the ball's speed at regular intervals of time, such as every second. If the ball's speed increases by 5 meters per second (m/s) in the first second, it would then increase by an additional 5 m/s in the second second, and so on. This demonstrates that the ball is gaining the same amount of speed with each passing interval.

This statement implies a constant or uniform acceleration. In such a scenario, the ball's velocity would increase linearly with time. It is important to note that this assumption may not always hold true in real-world situations, as various factors like friction or external forces can influence the ball's acceleration.

Learn more about Speed

brainly.com/question/17661499

#SPJ11

A)The unit(s) used for the unit of measurement is 2. Seconds and 4. Minutes

B) The best way to measure average time is 2. Measure the times of 24 volunteers who run a lap around the track.

3. Randomly pick 24 students to run a lap around the track and measure their times.

Given,

A. The unit(s) that could be used for the unit of measurement are the units used to measure time and the correct answer according to the options given above is seconds and minutes.

B. Which of the procedures below would be the best way to find the average time?

2. Measure the times of 24 volunteers who run a lap around the track.

3. Randomly pick 24 students to run a lap around the track and measure their times.

Learn more about average time here;

https://brainly.com/question/23960626

#SPJ1

Answer:

B

Step-by-step explanation:

The probability of having one white ball is 1/20 or approximately 0.05.

To find the probability of selecting one white ball out of three balls, you need to know the number of white balls in the box and the total number of balls in the box. You also need to know whether the balls are being selected randomly or not.

Assuming that there is only one white ball in the box and the rest are some other color, and that the balls are being selected randomly.

The probability of selecting one white ball out of three would be:

Probability = (number of ways to select one white ball out of three) / (total number of ways to select three balls)

Since there is only one white ball, there is only one way to select one white ball out of three. The total number of ways to select three balls out of six is 6 choose 3, which is equal to 20.

Therefore, the probability of selecting one white ball out of three would be

Probability = (number of ways to select one white ball out of three) / (total number of ways to select three balls)

Probability = 1/20

Probability = approximately 0.05.

Learn more about probability, here https://brainly.com/question/11234923

#SPJ4

A graph of the solution of the inequality is: graph F.

In Mathematics, an inequality can be defined as a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:

Next, we would solve the given inequality by making x the subject of formula as follows;

x - 5 < 14

By adding 5 to both sides of the inequality, we have the following:

x - 5 + 5 < 14 + 5

x < 19

Note: The line on a number line should be open when the inequality symbol is greater than (>) or less than (<).

Read more on inequality here: brainly.com/question/27976143

#SPJ1

㏒₅x in Natural logarithm is \(\frac{lnx}{ln5}\).

The base-e logarithm of an integer x, where e is a mathematical constant roughly equal to 2.718, is the natural logarithm of that number. Instead of the expected abbreviated notation ㏒ex, it is typically written using ㏑x. A natural logarithm can be expressed in exponential form as follows:

㏑x=a⇒\(x=e^a\)

Natural logarithm, is like a normal logarithm it follows all the basic algebraic laws, like addition, subtraction, multiplication of logarithms.

The natural logarithm follows the same as common logarithms of base 10. That is, \(ln (ab) = ln a + ln b\); \(ln (\frac{a}{b} ) = lna-lnb\);  The natural logarithm and the common logarithm are related through

㏒₅x=\(\frac{logx}{log5}\);

\(\frac{logx}{log5} *\frac{lne}{lne} ;\\\frac{logx}{lne} *\frac{lne}{log5} ;\\\)

㏑x×(\(\frac{1}{ln5}\));

⇒\(\frac{lnx}{ln5}\).

㏒₅x in Natural logarithm is \(\frac{lnx}{ln5}\).

To refer more about Natural logarithms, visit:

https://brainly.com/question/29373904

#SPJ1

Answer:

(-5, -3)

Step-by-step explanation:

Divide by 2

Answer:

the first one

Step-by-step explanation:

the first one is correct

Answer:

the first one

Step-by-step explanation:

the first one is correct

Answer:

its d or b

Step-by-step explanation:

Answer:i think it is d

Step-by-step explanation:

The value of the variable x is -2

An algebraic expression can be defined as an expression made up of terms, variables, coefficient, factors and constants.

These expressions are also made up of arithmetic or mathematical operations, which includes;

From the information given, we have;

2 ^ (x + 3) * 3 ^ (x + 4) = 18

Now, let's find the factors of 18 in 2's and 3's, we have;

2 ^ (x + 3) * 3 ^ (x + 4) = 2^1 × 3^ 2

Collect the common factors, we get;

x+ 3 + x + 4 = 1 + 2

collect like terms

2x = 3 - 7

2x = -4

make 'x' the subject of formula

x = - 2

Hence, the value is -2

Learn more about algebraic expressions here:

https://brainly.com/question/4344214

#SPJ1

Answer:

Hey buddy, here is your answer. Hope it helps you.

Step-by-step explanation:

4.957 something is the answer

Answer:

3 3/4

Step-by-step explanation:

3/4 * 1/5

First you would turn 1/5 into a reciprocal

Now your equation would be 3/4 *5/1

Now you multiply 3/4 * 5/1

15/4

Now find 15/4 as a mixed number

15/4 as a mixed number would be 3 3/4

Therefore there are 3 3/4 1/2 cup servings in a 3/4 cup of ice

The cost to send 130 text messages is:

We know that,

The total cost of sending 80 text messages =  $8.00

So, the cost of sending 1 text message = $8/80

=$0.1 per text message

The cost of sending 130 text messages = 130*$0.1

Therefore, the cost incurred to send 130 text messages = $13

To learn more about the Cost Concept:

https://brainly.com/question/28147009

The distance covered by the motorcycle is 31.4 km and displacement will be equal to 0.

Distance and Displacement both are the measure of the movement of an Object from one point to another.

Distance is a scalar quantity while Displacement is a vector quantity , and so it depends upon direction.

Distance travelled will always be positive but Displacement can be positive , negative and zero.

A motorcycle rides from point P to Q to R to S and finally to P in a circular path as shown in the below figure

The missing figure is attached with the answer.

(a) The distance covered by the motorcycle is

2πr = 2 * 3.14 * 5 = 31.4 km

(b) The displacement will be equal to 0 as the starting and the ending point is same.

To know more about Distance and Displacement

https://brainly.in/question/47777661

#SPJ1

Answer:

If the door was at the right angle then that means it is not an optical illusion, but if the door is straight then that means the door is not at a right angle so it's an optical illusion.

Step-by-step explanation:

Maybe if the door was straight, but you saw it at a right angle then maybe you      were laying down, you were sick, seeing things or you drank a lot of alcohol that day. If it was a right angle on that day then it was not an optical illusion.

The probability of getting an ace in the first 9 draws is approximately 0.5623.

The probability distribution of X is given by:

P(X = k) = (4 choose 1)*(48 choose k-1) / (52 choose k), where k = 1, 2, 3, ...

P(X = 10) = (4 choose 1)*(48 choose 9) / (52 choose 10) ≈ 0.0117

P(X = 50) = (4 choose 1)*(48 choose 49) / (52 choose 50) ≈ 1.84 x 10^-19 (very small)

P(X < 10) = P(X = 1) + P(X = 2) + ... + P(X = 9)

= Σ[(4 choose 1)*(48 choose k-1) / (52 choose k)] for k = 1 to 9

≈ 0.5623

Therefore, the probability of getting an ace in the first 9 draws is approximately 0.5623.

Learn more about probability here:

https://brainly.com/question/11234923

#SPJ11

It will cost Aurelia $631.80 to have her new computer shipped.

To calculate the shipping cost, we need to multiply the purchase price of the computer by the percentage of shipping cost, which is 8%.

To do this, we can use the following formula:

Shipping cost = Purchase price x (Shipping percentage/100)

In this case, the purchase price is $585 and the shipping percentage is 8, so we can plug in these values into the formula:

Shipping cost = $585 x (8/100)

Now we can solve the shipping cost:

Shipping cost = $46.80

So the total cost for Aurelia to have her new computer shipped would be

$585 + $46.80 = $631.80.

Thus, it will cost $631.80 for Aurelia to have her new computer shipped.

To learn more about Cost,

https://brainly.com/question/26078129

Answer:

Cat Blanc

Step-by-step explanation:

He is a cool and intersting character. And by far, one of the most powerful akumatized villains.

Answer:

10

Step-by-step explanation:

plz mark me brainliest ;)