16 quarts of soil are used to completely fill 5 flower pots. If each pot holds the same amount of soil, how many quarts will each pot hold?

How many quarts of soil are used to fill 3 flower pots?

Answer:

Step-by-step explanation:

a) John spent $30 on clothes and $12 on food, so he spent $18 more on clothes than on food.

b) He spent 150% more on clothes than on food.

The vertex of V(x) = 13x² - 184x + 5800 are at 7.08 + i19.9 Or  7.08 - i19.9.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

We know the graph of a quadratic equation is a parabola and the vertex of the parabola are the roots o the quadratic equation.

Given, V(x) = 325x² - 4600x + 145000.

V(x) = 13x² - 184x + 5800.  (we have factored out 25)

Now, By applying Sridhar acharya's formula,

x = [- b ± √(b² - 4ac)]/2a.

x = [184 ± √(33856 - 301600)]/26.

x =  [184 ± i√267744]/26.

x =  [184 ± i517.44]/26.

x = 7.08 + i19.9 Or  7.08 - i19.9.

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Answer:

  2x +3y = 15  or  y = -2/3x +5

Step-by-step explanation:

You want the equation of the line with y-intercept 5 and x-intercept 7.5.

The intercept form equation can be written ...

  x/a +y/b = 1

where 'a' is the x-intercept and 'b' is the y-intercept.

The given intercepts of a=7.5 and b=5 mean we can write the equation as ...

  x/7.5 +y/5 = 1

Multiplying by 15 gives the standard-form equation ...

  2x +3y = 15

Solving for y gives the slope-intercept equation ...

  y = -2/3x +5

Step-by-step explanation:

KLH is a triangle, and the sum of all angles in a triangle is 180°.

now, we know the angle at L = 134°.

because of the symmetry of the angles in such a regular parallelogram, the upper angle at H is 25°, and the lower angle at H (one of the angles in our triangle) is (4x + 9)°.

and the upper angle at K is (4x + 9)°, and the lower angle at K is 25°.

so, we have

180 = 134 + 25 + (4x + 9) = 159 + 4x + 9 = 168 + 4x

12 = 4x

x = 12/4 = 3

The advantages of adding additional processors will decrease as more are added because some portions are always still sequential, and eventually the speedup approaches a limit.

The ratio of the compute time for the sequential method to the time for the parallel algorithm represents the speedup of a parallel algorithm over a matching sequential algorithm. n-fold speedup is what we refer to if the speedup factor is n. For instance, if a sequential approach needs 10 minutes to compute while a parallel algorithm needs just 2, then the speedup is 5 times.

The observed speedup is dependent on every aspect of the implementation. For instance, more processors frequently result in speedups that are greater; but, if other programmer are running on the processors concurrently with a programmer using a parallel technique, the speedup may be reduced by those other applications.

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The solution of the equation is x = 6, y = 0.

1. Subtract the two equations:

   x3y6 - 2x3y12 = 0

2. Simplify both sides of the equation:

   x3y - 2x3y = 0

3. Simplify further calculations:

   x3(y - 2y) = 0

4. Factorize the expression:

   x(y - 2y) = 0

5. Solve for x:

   x = 0

6. Substitute x = 0 into either equation:

   3y = 6

7. Solve for y:

   y = 2

8. Substitute y = 2 into either equation given above:

   x = 6

The solution of the equation is x = 6, y = 2.

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Answer: Option D (0.833)

Step-by-step explanation:

There are 6 possible outcomes when the arrow is spun, and 5 of those outcomes correspond to the arrow landing on a number greater than 10 (the numbers 11, 12, 13, 14, and 15).

Therefore, the probability of the arrow landing on a number greater than 10 is 5/6, or about 0.833

In class 6, students typically learn about acute angles, right angles, and obtuse angles as the main types of angles. So there are three types of angles.

Acute angles, Right angles, and Obtuse angles are the basic types of angles and they are based on the degree measure. Acute angles are less than 90 degrees, right angles are exactly 90 degrees and obtuse angles are greater than 90 degrees but less than 180 degrees.

It's worth noting that the classification of angles in class 6 may vary depending on the curriculum and the country you are in. This is a general description and your school or teacher may have different classification or criteria.

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Answer:

-8 , (0, -8)

Step-by-step explanation:

The y-intercept of a line is where a line intersects the y-axis, or the vertical axis.

Referring to the picture given, the y-intercept is -8 with the coordinates (0, -8)

Answer:

The vertex is (1,-9)

The y intercept is (0, -8)

Step-by-step explanation:

This is a parabola.  The vertex is the low point since the parabola is opening upwards.

The vertex is (1,-9)

The y intercept is where it crosses the y axis.  The y intercept is (0, -8)

Answer:

25

Step-by-step explanation:

By the Pythagorean Theorem, the sum of the squares of the leg lengths is equal to the square of the hypotenuse:

[tex]a^2+b^2=c^2\\20^2+15^2=c^2\\400+225=c^2\\625=c^2\\25=c[/tex]

Hence, the hypotenuse has a length of 25

Answer:

Step-by-step explanation:

2A. 3x=6 ⇒ x=2

2B. 3n=2(n-3) ⇒ 3n=2n-6 ⇒ n= -6

1. cross multiplication method

The sum of the two polynomials 6s²t – 2st² and  4s²t – 3st² is 5(2s²t – st²) in factorized from.

One or more algebraic terms (monomials) are combined mathematically to form a polynomial. Poly- (many) and -nomial (terms) are the roots of the word "polynomial".

A polynomial can have exponents (powers), constants (numbers), and variables (letters), but never negative exponents or division by a variable.

In standard form, polynomials prefer to be expressed. In addition, the exponents are arranged in descending order because they don't contain any similar terms (largest to smallest).

The sum of two polynomial is

⇒6s²t – 2st² + 4s²t – 3st²

= 6s²t + 4s²t – 3st²– 2st²

= 10s²t – 5st²

= 5(2s²t – st²)

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Full question

What is true about the sum of the two polynomials?

6s²t – 2st² and  4s²t – 3st²

Answer:

0.2

Step-by-step explanation:

Answer:

0.2 es mayor.

Step-by-step explanation:

0.2>0.08

The area for 2 pounds of fertilizer is 400 square feet

How to determine the amount of fertilizer for 2 pounds?

From the question, we have the following parameters that can be used in our computation:

seven pounds of fertilizer can cover 1400 square feet

This means that

7 pounds of fertilizer = 1400 square feet

Divide both sides of the equation by 7

So, we have the following representation

1 pounds of fertilizer = 200 square feet

Multiply both sides of the equation by 2

So, we have the following representation

2 pounds of fertilizer = 400 square feet

Hence, the area is 400 square feet

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Answer: Yes, the answer is 6.5%. The percentage of employee's salary that is withheld for contribution to their pension fund can vary depending on the company or organization, but generally it is around 6-7%. 6.5% is a common percentage used by employers as a guideline for the amount that is withheld for the employee's pension fund.

Step-by-step explanation:

The algebraic solutions are x < -5 and x > 3.

The graph is given below.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

x² + 2x > 15

x² + 2x - 15 > 0

x² + (5 - 3)x - 15 > 0

x² + 5x - 3x - 15 > 0

x(x + 5) - 3(x + 5) > 0

(x - 3)(x + 5) > 0

x + 5 > 0 and x - 3 > 0

x < -5 and x > 3

The graph is given below.

Thus,

x < -5 and x > 3 is the solution.

The graph is given below.

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The graph has plotted and attached below

What is inequality?

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare two values. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign in between. Sometimes it can be about a "not equal to" relationship, where one thing is more than the other or less than. In mathematics, an inequality is a relationship that results in a non-equal comparison between two numbers or other mathematical expressions.

2x + 3y <12.

Here The graph have plotted and attached below.

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I would choose both I and II for accomplishing the task of "When you want to Add or Remove Filters, you select Data in the ribbon, and then Filter. You would prefer to do this with one click, so you decide to add Filters to the Quick Access Toolbar."

Click the Commands Not in the Ribbon option in the Customize Quick Access Toolbar dialog box. Click Filter in the list of commands. Select the Add option. Press the OK button. You may use the FILTER function to filter a set of data depending on criteria you provide. The Filter option makes it simple to narrow down your search field.

Here,

I would choose both I and II to complete the task of "When you wish to Add or Remove Filters, go to the Data ribbon, then Filter. You'd prefer to do this with a single click, so you add Filters to the Quick Access Toolbar."

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The ratios are not equivalent.

In accordance with comparative comparative, the x-intercept of function g(x) = ㏒ (x + 4) is equal to x = - 4.

According to function theory, a function f(x) has an x-intercept when f(x) exists for x = 0. Besides, logarithms of 1 for any base is equal to zero, that is:

Logarithm of 1 at any base.

㏒ₐ 1 = 0

If ㏒ x = 0, then x = 1. And if ㏒ (x + 4) = 0, then x + 4 = 0, that is, x = - 4.

Then, by direct comparison between the two logarithmic expression, the logarithmic function g(x) = ㏒ (x + 4) has x = - 4 as its x-intercept.

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The solutions can be read off of the diagonal entries in the reduced matrix.

To solve a 3 x 3 system of equations using matrices, first we need to create the augmented matrix for the system of equations. The augmented matrix contains the coefficients of the variables and the constants for each equation on each row. Then we can use row operations to reduce the augmented matrix to reduced row-echelon form. This can be done by adding or subtracting rows to each other, multiplying or dividing a row by a non-zero number, and swapping two rows. After reducing the matrix to row-echelon form, we can back-substitute the solutions to the system of equations. The solutions can be read off of the diagonal entries in the reduced matrix. For example, if the matrix is reduced to the form [a b c d e f g h i] then the solution to the system of equations is x = d/a, y = e/b, and z = f/c.

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For the given principal and two different rate of interest for the 15 years of time period the cost of four points is given by  $26786.2.

As given in the question,

Principal amount 'P' = $128,000

Time 't' = 15 years

Rate of interest 'r' = 5.5%

                             = 0.055

Total amount 'A' received is given by the formula :

A = P ( 1 + r/100 )^n

  = 128,000 ( 1 + 5.5 / 100 )^15

  = $285756.99

Now when the rate of interest is changed to

Rate of interest 'r' = 4.81%

                             = 0.0481

Total amount 'A' received is given by the formula :

A = P ( 1 + r/100 )^n

  = 128,000 ( 1 + 4.81 / 100 )^15

  = $258970.79

Now, the cost of four points is given by:

= $( 285756.99 - 258970.79 )

= $ 26786.2

Therefore, for the given principal amount with two different rate of interest for the time period of 15 years the cost of four points is equal to  $26786.2.

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A hat symbol (^) is used to represent an estimated value in regression analysis.

We know that in regression analysis, the predicted values are the y-hat values.

Here y is the output variable or dependent variable

A 'hat' symbol (^) is used to denote an estimator.

A ^ symbol is placed over the variable name to denote the estimated value.

In matrix system, a hat matrix is nothing but the projection matrix.

It projects the vector of observations, y, onto the vector of predictions, y^

We know that a vector has magnitude and direction. A ^ symbol is used is represent the direction of unit vector.

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Answer:

x ≈ 18.6

Step-by-step explanation:

using the tangent ratio in the right triangle

tan37° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{14}{x}[/tex] ( multiply both sides by x )

x × tan37° = 14 ( divide both sides by tan37° )

x = [tex]\frac{14}{tan37}[/tex] ≈ 18.6 ( to the nearest tenth )

The probability that a bag of flour passes inspection is 0.05.

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true. In this case, the probability of an event us usually represented as a number between 0 and 1.

In this case, the odds that a bag of flour weighs enough to pass inspection are 1:20. The probability that a bag of flour passes inspection will be:

= 1/20

= 0.05

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Complete question

The odds that a bag of flour weighs enough to pass inspection are 1:20. What is the probability that a bag of flour passes inspection?

joyce's painting rate in window frames per hour is 1.6 and her painting rate in hours per window frame 0.625.

A unit rate is a ratio between two separate units with one as the denominator. Examples include miles/hour, kilometers/hour, meters/sec, salaries/month, etc. The most fundamental and historically significant field of mathematics is arithmetic, which is also the one we use the most frequently in daily life.

Given, Joyce painted 8 window frames in 5 hours while earning money for college.

Her painting rate in window frames per hour is = 8 /5

Her painting rate in window frames per hour is = 1.6

Her painting rate in hours per window frame is = 5/8

Her painting rate in hours per window frame is = 0.625

therefore, The rate at which Joyce paints is 1.6 window frames per hour and 0.625 hours per window frame.

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Answer:

x > 3

Step-by-step explanation:

6x - 2 - 3x + 9 > 16

3x + 7 > 16

3x > 9

x > 3

The correct option is option A , the sample points of a sample space are equally likely events.

In probability when two the occurrence of two events are having a 50 - 50 possibility then those two events are said to be equally likely events. Example , on tossing a coin the probability of getting a H or a tail is 1/2 . Therefore, these events are said to be equally likely events.

Probability is a field of mathematics which tells us about the possibility of occurrence of an event. P = number of favorable outcomes / total number of outcomes , is the formula to calculate probability.

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The minimum number of pizzas must they sell in order to have at least $300 is 44.

What is the profit?

The profit is defined as the amount gained by selling a product, and it should be more than the cost price of the product. In other words, the profit is a gain obtained from any business activities.

The student council needs to raise $300 - $235 = $65 to reach their goal.

They make a profit of $1.50 for each pizza they sell.

so they need to sell $65 / $1.50 = 43.333 pizzas to reach their goal.

As you cannot sell a fractional number of pizzas, they need to sell at least 44 pizzas to raise enough money for the field trip.

Hence, the minimum number of pizzas must they sell in order to have at least $300 is 44.

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