what are the roots of y = x2 – 3x – 10?–3 and –10–2 and 52 and –53 and 10

Answer:

10 servings

Step-by-step explanation:

The amount of broth needed for 8 servings is 2 quarts. Adding 0.5 would be adding 25% more servings. 25% of 8 is 2. So we add 8 + 2 to get 10. So, with 2.5 quarts of broth, we can make 10 servings of chicken noodle soup

Answer:

Step-by-step explanation:

Let the number of servings is x

Given

Build a ratio and solve for x:

Correct choice is B

Answer:

49 square feet

Step-by-step explanation:

Area of square

\( = {7}^{2} \\ \\ = 49 \: {ft}^{2} \\ \)

As, the angles forms between ABC, BCD, CDA and DAB are right angles. The quadrilateral is proved as  a rectangle.

To prove that the quadrilateral ABCD is a rectangle, we need to establish certain properties of the shape. Here are the pieces of information we would need to find:

Opposite sides are parallel: We need to confirm that AB is parallel to CD and BC is parallel to AD. To determine this, we can calculate the slopes of AB and CD as well as BC and AD. If the slopes are equal, then the sides are parallel.

Opposite sides are congruent: We need to verify that AB is equal in length to CD and BC is equal in length to AD. We can calculate the distances between these pairs of points using the distance formula. If the distances are equal, then the sides are congruent.

Diagonals are congruent: We need to check if AC is equal in length to BD. Again, we can calculate the distances between the respective points using the distance formula. If the distances are equal, then the diagonals are congruent.

Right angles: We need to determine if the angles at the vertices of the quadrilateral are right angles (90 degrees). One way to do this is by calculating the slopes of AB, BC, CD, and AD. If the product of the slopes of adjacent sides is -1, then the angles are right angles.

If all these conditions are met, then the quadrilateral ABCD can be proven to be a rectangle. As, the angles forms between ABC, BCD, CDA and DAB  are right angles. The quadrilateral is proved as  a rectangle.

For more such questions on quadrilateral , Visit:

https://brainly.com/question/23935806

#SPJ11

Average attendance per game= 18140 people, Therefore, if all the seats were filled with a ticket cost of $180, the Fleet Center would generate revenue of $3,524,400 for a single game.

Given that the Fleet Center seats 19,580 people and the total attendance for the season was 453,500.

Assuming a 25-game home schedule, the average attendance per game can be calculated as shown below:

Average attendance per game = Total attendance / Total number of games

Average attendance per game= 453,500 / 25= 18140 people (rounded to the nearest whole number).

Therefore, the average attendance per game was 18,140 people, given that each ticket cost $180, a sellout (all seats filled) would bring in the following revenue for a game:

Revenue from a sellout = Number of seats x Ticket cost

Revenue from a sellout = 19,580 x 180

Revenue from a sellout = $3,524,400

Therefore, if all the seats were filled with a ticket cost of $180, the Fleet Center would generate revenue of $3,524,400 for a single game.

to know more about revenue visit:

https://brainly.com/question/14952769

#SPJ11

Answer:

4,414,000,000

Step-by-step explanation:

4.414x10^9, move the decimal place 9 places to the left.

Answer:

4,414,000,000

Step-by-step explanation:

4.414 x 10⁹

= 4.414 x 1,000,000,000

= 4,414,000,000

The vector parametric form of the line L, which is the intersection of the given planes P and Q is given by L: x = 2/5 + (-7/5)t y = 6/5 - (3/5)t z = t

Given the equation of two planes as follows: P: x - 2y - z = 4Q: 2x + y + z = 2

To find a parameterization of the line that is the intersection of the planes P and Q, we follow the following steps:

Step 1: Let us write the augmented matrix of the system of linear equations for the given two planes. P: x - 2y - z = 4Q: 2x + y + z = 2⇒The augmented matrix is [A | B] =⇒A

= [1 -2 -1 | 4; 2 1 1 | 2]

Step 2: We apply elementary row operations to transform the matrix A to reduced row echelon form (rref(A)).

[1 -2 -1 | 4; 2 1 1 | 2]R2-2R1

→ R2[1 -2 -1 | 4; 0 5 3 | -6]R2/5

→ R2[1 -2 -1 | 4; 0 1 3/5 | -6/5]R1+2R2

→ R1[1 0 7/5 | 2/5; 0 1 3/5 | -6/5]

Step 3: From the rref(A) matrix, we can say that the system of linear equations is consistent with unique solution. Therefore, the line that is the intersection of the given two planes P and Q is unique. Now, we can write the equation of the line in vector parametric form as follows.

x = a + t b, where 'a' is any point on the line, 'b' is the direction vector of the line, and 't' is a parameter.

Here, the values of 'a' and 'b' can be determined by solving the following systems of equations.1x + 0y + 7/5z = 2/5   (Obtained from the row echelon form)   ⇒ x = 2/5 - 7/5z y

= 6/5 - 3/5z z = z

The above equations can be written as follows: x = 2/5 + (-7/5)tz = zy

= 6/5 - (3/5)tz = z

The vector parametric form of the line L, which is the intersection of the given planes P and Q is given by L: x = 2/5 + (-7/5)t y

= 6/5 - (3/5)t z

= t

To know more about parametric visit:

https://brainly.com/question/33413331

#SPJ11

The probability that the sum of two rolls is 9 given that there is at least one 6 rolled is 1/11 or approximately 0.09. To see why, we can use conditional probability. Let A be the event that there is at least one 6 rolled, and let B be the event that the sum of two rolls is 9. We want to find P(B|A), the probability of B given A.

First, let's find P(A), the probability of rolling at least one 6. The only way to not roll a 6 is to roll two non-6 numbers, which has a probability of (5/6)*(5/6) = 25/36. So the probability of rolling at least one 6 is 1 - 25/36 = 11/36.

Next, let's find P(B and A), the probability of rolling a 9 and at least one 6. There are four ways to roll a 9: (3,6), (4,5), (5,4), and (6,3). In each case, one of the dice is a 6, so the probability of rolling a 9 and at least one 6 is 4/36.

Finally, we can use the formula

\(P(B|A) = P(B and A) / P(A)\)

to find the desired probability:

\(P(B|A) = P(B and A) / P(A)\) = (4/36) / (11/36) = 4/11

So the probability that the sum of two rolls is 9 given that there is at least one 6 rolled is 4/11 or approximately 0.09.

Learn more about probability  here:

https://brainly.com/question/30034780

#SPJ11

Answer:

The correct answer is B. 20,000

Step-by-step explanation:

To determine the man's total monthly salary, we can set up a simple equation using the given information. Let's denote the total monthly salary as "x."

According to the information provided, 33% of the man's monthly salary is equal to Birr 6600. We can express this relationship mathematically as:

0.33x = 6600

To solve for "x," we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.33:

x = 6600 / 0.33

Evaluating the right side of the equation gives:

x ≈ 20,000

Therefore, the man's total monthly salary is approximately Birr 20,000.

Hence, the correct answer is B. 20,000.

Answer:

50/50 Chance

Step-by-step explanation:

I'm not sure if you wrote the entire question correctly, but the highest chance you would have of winning would be 100% because the 2 sides * the 50/50 chance they have. So that would make the odds of winning 50%.

Answer:

The distance around the hat is equal to the circumference of the circle with diameter 6.8 inches.

The formula for the circumference of a circle is:

circumference = π × diameter

Substituting the given values, we get:

circumference = 3.14 × 6.8

circumference ≈ 21.35

Rounding to the hundredths place, we get the final answer as:

circumference ≈ 21.35 inches

Therefore, the distance around the hat using π = 3.14 is approximately 21.35 inches.

Answer:

Exact form: x = 36\5

Decimal form: 7.2

Mixed number form: 7 1\5

To find the total number of minutes used, divide $175 by the $.25 per minute charge. This equals 650 minutes, meaning the user had used 650 minutes throughout the month.

$50 initial fee + $.25 per minute = $225

$225 - $50 = $175

$175 / $.25 = 650 minutes

The initial fee for the phone plan was $50, and for every minute used, an additional $.25 was charged. Last month's bill was $225, so subtracting the $50 initial fee from the total cost of the bill leaves $175, which is the cost of the minutes used. To find the total number of minutes used, divide $175 by the $.25 per minute charge. This equals 650 minutes.

The phone plan charges an initial fee of $50 for the month, as well as an additional $.25 for every minute used. Last month's bill was $225, so to find the total number of minutes used, subtract the $50 initial fee from the total cost of the bill. This results in $175, which is the cost of the minutes used. To find the total number of minutes used, divide $175 by the $.25 per minute charge. This equals 650 minutes, meaning the user had used 650 minutes throughout the month.

A user's phone plan last month costed $225, which included an initial fee of $50 plus $.25 for every minute used. After subtracting the initial fee from the total bill cost, $175 was left which was the cost of the minutes used. Dividing this number by the $.25 per minute charge reveals that the user had used 650 minutes.

learn more about number here

https://brainly.com/question/10547079

#SPJ4

Based on the given information and performing a one-sample t-test, the conclusion is that if the population mean (μ) is greater than 30.8294 km per litre, we reject the null hypothesis.

Given:

Sample mean (x') = 30 km per litre

Sample standard deviation (s) = 3.5 km per litre

Sample size (n) = 50

Significance level (α) = 0.05 (5%)

Null hypothesis \((H_0)\): The mean petrol consumption of the new car is equal to or higher than that of the existing car.

Alternative hypothesis \((H_1)\): The mean petrol consumption of the new car is lower than that of the existing car.

We'll calculate the test statistic (t-value) and compare it with the critical t-value.

The formula for the t-value is:

t = (x' - μ) / (s / √n)

where μ is the population mean (mean petrol consumption of the existing car).

First, we need to calculate the critical t-value from the t-distribution table. Since we have a significance level of 0.05 and (50 - 1) degrees of freedom, the critical t-value for a one-tailed test is approximately -1.677.

Now, let's calculate the t-value:

t = (30 - μ) / (3.5 / √50)

To reject the null hypothesis, the t-value should be less than the critical t-value.

Simplifying the equation:

t = (30 - μ) / (0.495)

To find the critical value, we compare it with the calculated t-value:

-1.677 > (30 - μ) / (0.495)

Multiplying both sides of the inequality by 0.495:

-0.8294 > 30 - μ

Rearranging the inequality:

μ > 30 + 0.8294

μ > 30.8294

Therefore, if the population mean (μ) is greater than 30.8294 km per litre, we reject the null hypothesis in favor of the alternative hypothesis, concluding that the mean petrol consumption of the new car is lower than that of the existing car.

To know more about one-sample t-test, refer here:

https://brainly.com/question/32646245

#SPJ4

The solution to the IVP is:

\(y(x) = (43/20)e^{(6x)} - (27/20)e^{(-x)} - (63/20) + (47/20)e^{(x)]\)

The given differential equation is:

\(d^2y/dx^2 - 5dy/dx - 6y = 0\)

The auxiliary equation is:

\(r^2 - 5r - 6 = 0\)

This can be factored as:

(r - 6)(r + 1) = 0

So, the roots are r = 6 and r = -1.

The two fundamental solutions are:

\(y1(x) = e^{(6x)} and y2(x) = e^{(-x)}\)

To solve the initial value problem (IVP), we need to find the constants c1 and c2 such that the general solution satisfies the initial conditions:

y(0) = -7 and y'(0) = 7

The general solution is:

\(y(x) = c1e^{(6x)} + c2e^{(-x)}\)

Taking the derivative with respect to x, we get:

\(y'(x) = 6c1e^{(6x)}- c2e^{(-x)}\)

Using the initial condition y(0) = -7, we get:

c1 + c2 = -7

Using the initial condition y'(0) = 7, we get:

6c1 - c2 = 7

Solving these equations simultaneously, we get:

\(c1 = (43/20)e^{(-6x)} - (27/20)e^{(x)}\)

\(c2 = -(63/20)e^{(-6x)} + (47/20)e^{(x)}\)

Therefore, the solution to the IVP is:

\(y(x) = (43/20)e^{(6x)} - (27/20)e^{(-x)} - (63/20) + (47/20)e^{(x)]\)

Simplifying, we get:

\(y(x) = (43/20)e^(6x) + (7/20)e^{(-x)} - (63/20)\)

Learn more about auxiliary equation

brainly.com/question/18521479

#SPJ11

A chart that describes a company's formal structure is called an Organizational chart.

An organizational chart is a visual representation of an organization's structure. It illustrates how individual employees, teams, and tasks fit into the broader framework. It is also known as an organization chart or org chart. This type of chart depicts reporting relationships, responsibilities, and roles within an organization in a hierarchical arrangement.

learn more about  organizational chart

https://brainly.com/question/33118072

#SPJ11

One of Pryor's 10 Laws of shaping is D. Train one behavior at a time is one of Pryor's 10 Laws of shaping. This law emphasizes the importance of focusing on one behavior at a time when shaping behavior.

By doing so, the trainer can avoid confusing the animal and can more effectively reinforce the desired behavior. This law also helps the trainer to break down complex behaviors into smaller, more manageable parts, which can then be shaped individually.

According to Karen Pryor's 10 Laws of Shaping, one of the key principles is to train one behavior at a time. This is important because it helps the learner to focus on mastering a specific behavior without getting overwhelmed or confused by multiple tasks.

By concentrating on one behavior at a time, the trainer can provide clear, consistent reinforcement and feedback, which increases the likelihood of successfully shaping the desired behavior.

Overall, following this law can lead to more successful shaping and training outcomes.

Learn more about reinforcement here:

brainly.com/question/5162646

#SPJ11

Among the provided options, Pryor's 10 Laws of Shaping suggests training one behavior at a time. This technique avoids confusion and ensures reliable behavior is established before moving to the next behavior.

According to Pryor's 10 Laws of Shaping, among the given options, the correct answer is: Train one behavior at a time. This rule focuses on the fact that trying to shape multiple behaviors simultaneously can often lead to confusion for the individual or animal being trained. Instead, it's more effective to focus on one behavior at a time, reinforcing each successful approximation towards the target behavior before moving on to the next. The goal is to build a strong, reliable behavior before adding complexity or new behaviors.

https://brainly.com/question/34587764

Answer:

(x + 6)(x + 7)

Step-by-step explanation:

To factor the trinomial x^2 + 13x + 42, we need to find two numbers that multiply to 42 and add up to 13.

One way to do this is to list all the pairs of factors of 42 and see which pair adds up to 13:

1, 42 -> 1 + 42 = 43

2, 21 -> 2 + 21 = 23

3, 14 -> 3 + 14 = 17

6, 7 -> 6 + 7 = 13

So the pair of factors that we want is 6 and 7. We can use these numbers to rewrite the middle term of the trinomial:

x^2 + 13x + 42 = x^2 + 6x + 7x + 42

Next, we can group the first two terms and the last two terms:

x^2 + 6x + 7x + 42 = (x^2 + 6x) + (7x + 42)

Now, we can factor out the greatest common factor from each group:

x(x + 6) + 7(x + 6)

Notice that we have a common factor of (x + 6) in both terms. We can factor this out:

(x + 6)(x + 7)

To find the third side of an inequality of a triangle, you must first use the Triangle Inequality Theorem.

This theorem states that for any triangle, the sum of any two sides of the triangle must be greater than the third side. This means that in order to find the length of the third side, you must subtract the sum of the two known sides from the smaller of the two sides, then the length of the third side will be equal to the difference between these two numbers. For example, if two sides of a triangle have lengths of 4 and 3, the third side must be greater than 1 (4 + 3 = 7 and 4 - 3 = 1). Therefore, the length of the third side must be greater than 1.

Learn more about Triangle Inequality Theorem here:

https://brainly.com/question/1163433

#SPJ4

The congruent triangles in this problem are given as follows:

Triangles A and B.

Two figures are classified as congruent if their side lengths are the same.

If we rotate triangle B 180º over it's base, we have that it will have a similar format to triangle A, and also with the same side lengths.

Hence the congruent triangles in this problem are given as follows:

Triangles A and B.

With triangle C, no rotation would make it like A and B, with the same side lengths, hence it is not congruent to any of the triangles in this problem.

More can be learned about congruence of figures at https://brainly.com/question/1675117

#SPJ1

Answer:

division

Step-by-step explanation:

For the division of bases, use the division rule of exponents, where the exponents are subtracted. Combine the result of coefficients by the new power of 10. If the quotient from division of coefficients is not less than 10 and greater than 1, convert it to scientific notation and multiply it by the new power of 10.

Answer:

The 8 oz has lower unit rate, it's lower by .2.

Step-by-step explanation:

8 oz divided by $6 = $1.333 for 1 oz  ---- (round to 1.3)

6 oz divided by $4 = $1.5 for 1 oz

Answer:

Step-by-step explanation:

Area of a parallelogram = base × height

From the question

Area = 8√90

base = 2√5

Substitute the values into the above formula and solve for the height

That's

\(8 \sqrt{90} = 2 \sqrt{5} h \\ h = \frac{8 \sqrt{90} }{2 \sqrt{5} } \\ h = \frac{24 \sqrt{10} }{2 \sqrt{5} } \)

Reduce the fraction with 2

That's

\(h = \frac{12 \sqrt{10} }{ \sqrt{5} } \)

Split √10

We have

\(h = \frac{12 \sqrt{2} \times \sqrt{5} }{ \sqrt{5} } \)

Reduce the fraction with√5

We have the final answer as

Hope this helps you

It is true that statistical sampling uses Monte Carlo simulation, where a greater number of trials are employed to obtain a precise answer.

A mathematical method or statistical sampling called Monte Carlo simulation is used to forecast all potential outcomes of any unknown event.

As it relies on historical data to forecast future results, the accuracy increases with the number of trials.

You can review more old data to anticipate the first month's sales of any newly launched product, for instance.

It aids in more precise probability calculations.

As a result, more trials are necessary for an accurate result in Monte Carlo simulation statistical sampling.

Therefore, it is true that statistical sampling uses Monte Carlo simulation, where a greater number of trials are employed to obtain a precise answer.

To know more about statistical sampling, visit:

https://brainly.com/question/29490427

#SPJ4

Answer:

The coat cost 59.40

Step-by-step explanation:

First find the amount of tax

55 * 8%

55 * .08

4.4

Add this to the original price of the coat

55 + 4.4

59.4

The coat cost 59.40

The sum of all the entries of a matrix whose null space consists of all linear combinations of vectors is zero.

To find the sum of all the entries of a matrix whose null space consists of all linear combinations of vectors, follow these steps:

Therefore, the sum of all the entries of a matrix whose null space consists of all linear combinations of vectors is zero.

Learn more about matrix:

https://brainly.com/question/27929071

#SPJ11

Answer:

the answer is 100.

Step-by-step explanation:

divide 1000 by 10

The number of boxes required to hold 1000 cans is 100 bags.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, every Monday each student brings in a bag with 10 cans.

They put 10 bags into a box.

So, number of boxes required to hold 1000 cans

= 1000/10

= 100 bags

Therefore, the number of boxes required to hold 1000 cans is 100 bags.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

The limit of the given Riemann sum is 256.

The given expression represents a Riemann sum for the function f(x) = 3x^3 - 9x over the interval [2, 6], where xi* is any point in the ith subinterval, and δx = (b-a)/n is the width of each subinterval.

Using the formula for the Riemann sum with right endpoints, we have xi* = 2 + iδx for i = 1, 2, ..., n. Substituting these values, we get:

n i=1 [3(xi*)^3 − 9xi*]δx = δx [3(2 + δx)^3 - 9(2 + δx) + 3(2 + 2δx)^3 - 9(2 + 2δx) + ... + 3(2 + nδx)^3 - 9(2 + nδx)]

= δx [3(2^3 + 3(2^2)δx + 3(2)(δx^2) + (δx)^3) - 9(2 + δx) + 3(2^3 + 3(2^2)(2δx) + 3(2)(4δx^2) + (8δx)^3) - 9(2 + 2δx) + ... + 3( (2 + nδx)^3) - 9(2 + nδx)]

= δx [3(8 + 12δx + 6δx^2 + δx^3) - 9(2 + δx) + 3(8 + 24δx + 24δx^2 + 8δx^3) - 9(2 + 2δx) + ... + 3((2 + nδx)^3) - 9(2 + nδx)]

= δx [3(8 + 12δx + 6δx^2 + δx^3) + 3(8 + 24δx + 24δx^2 + 8δx^3) + ... + 3((2 + nδx)^3) - 9(nδx)]

= δx [3(8n + 12δx(n(n+1)/2) + 6δx^2(n(n+1)(2n+1)/6) + δx^3(n^2(n+1)^2/4)) - 9(nδx)]

Taking the limit as n tends to infinity, we have δx = (6-2)/n = 4/n and nδx = 4. Therefore, the expression simplifies to:

lim n→[infinity] n i=1 [3(xi*)^3 − 9xi*]δx = lim n→[infinity] 4 [3(8n + 12(4/n)(n(n+1)/2) + 6(4/n)^2(n(n+1)(2n+1)/6) + (4/n)^3(n^2(n+1)^2/4)) - 9(4)]

= lim n→[infinity] 4 (96n + 64 + 64 + 64) - 144 = 256

Therefore, the limit of the given Riemann sum is 256.

Learn more about Riemann sum here

https://brainly.com/question/14418174

#SPJ11