Please help me with this question.

The missing term when using the square root method is the discriminant. The discriminant is a number that is calculated from the coefficients of a quadratic equation.

A quadratic equation is a type of mathematical equation that can be written in the form of ax² + bx + c = 0, where a, b, and c are real numbers, a cannot equal 0. It is called a quadratic equation because it has a second-order term, which is the x² term. This type of equation has two solutions, which are referred to as the roots. These roots can be found by using the quadratic formula, which is x = -b ± √(b² - 4ac) / 2a. This equation can be used to solve a wide variety of problems, including finding the length of a side in a right triangle, calculating the area of a circle, finding the maximum or minimum of a function, and solving systems of linear equations.

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Answer:

Option B

Step-by-step explanation:

Refer the the picture for working

An equation of the plane through the point (8, 5, 6) and with normal vector 4i 9j 3k is 4x + 9y + 3z = 95.

A plane in geometry is a level surface that never ends. Other names for it include a two-dimensional surface. A plane has an unlimited width, an endless length, zero thickness, and no curvature. The flat surfaces of a cube or cuboid, as well as the flat surface of paper, are all true examples of geometric planes, despite the fact that it is difficult to envision a plane in real life.

A point is given that is (8, 5, 6) and is passing through 4i + 9j + 3k so ,

4(x - 8) + 9(y - 5) + 6(z - 6) = 0

4x + 9y + 3z = 95.

A plane is a flat, infinitely long, two-dimensional surface in mathematics. A plane may appear as a subspace of a multidimensional space, such as one of the room's infinitely expanding walls, or it may live independently on its own, such as in the context of Euclidean geometry.

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Answer:

Step-by-step explanation:

The area of Nick's grandfather's yard is 8/15 m²

A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°). The opposite sides of a rectangle are equal and parallel.

Given that, Nick's grandfather grows tomatoes in a section of his yard that is 4/5 meter long and 2/3 meter wide.

We have to find the area of the section,

Considering the section as a rectangular section,

Area of a rectangle = length × width

= 4/5 × 2/3

= 8/15

Hence, the area of Nick's grandfather's yard is 8/15 m²

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The expression 3 ^ 2 * 3 ^ −5   equivalent to  is  1 / 27  .

What is Algebraic expression ?

Algebraic expression can be defined as the combination of variables and constants.

Given expression,

3 ^ 2 * 3 ^ −5

so,

3 ^ 2 * 3 ^ −5

=3 ^2 / 3 ^5

we know that a^m * a ^n  = a ^ ( m+n )

so we get,

= 3 ^ ( 2-5 )

= 3 ^ -3

= 1 / 3 ^3

Therefore, The expression 3 ^ 2 * 3 ^ −5   equivalent to  is 1 / 27  .

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Answer:

Below

Step-by-step explanation:

In simplistic wording in this question, a term is a letter associated with a number

I see an m, i, s, and p in the equation. 4 different letters, so there are 4 different terms

Coefficients are the numbers associated with the term.

Counting left to right, The third one in the equation is 10s. That means the coefficient is 10

The trigonometric function, the identity is verified.

is trigonometric function?

The functions of an angle in a triangle are known as trigonometric functions, commonly referred to as circular functions. In other words, these trig functions provide the relationship between a triangle's angles and sides. There are five fundamental trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant.

Here the given identity is,

=> [tex](cos \theta-5sin\theta)^2+(5cos\theta+sin\theta)^2=26[/tex]

Now using formula [tex](a-b)^2=a^2-2ab+b^2[/tex] and [tex](a+b)^2=a^2+2ab+b^2[/tex] then L.H.S

=> [tex]cos^2\theta-10cos\theta sin\theta+25sin^2\theta + 25cos^2\theta+10cos\theta sin\theta+sin^2\theta[/tex]

=> [tex]25sin^2\theta+25cos^2\theta+sin^2\theta+cos^2\theta[/tex]

=> [tex]25(sin^2\theta+cos^2\theta)+(sin^2\theta+cos^2\theta)[/tex]

We know that [tex]sin^2\theta+cos^2\theta=1[/tex] then,

=> 25(1)+1

=> 25+1

=> 26 = 26

L.H.S = R.H.S

Hence the given identity is verified.

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Answer:

Step-by-step explanation:

So 3a + 10c = 125 is translation of first sentence. Second part says a = c+7, "more than" indicating addition.

Substitute the 1st equation's a with c+7

So 3(c+7) + 10c = 125

Distribute.*+

3c + 21 +10c = 125

*Remember that 3(c+7) means to add up

c+ 7

c + 7

c + 7

‐-----------------

3c + 21

Combine 3c + 10c as 13c

So 13c + 21 = 125. Subtract 21 on each side (always treat left and right sides equally, believe in equality for all!!)

13c = 104. Divide each side by 13 (opposite of x)

c = 8........this is cost of each children's ticket

($8). Check: adult ticket is c +7 or $15. Does 3 adult tickets x $15 + 10 child tickets × 8 = 125? 45. + 80 = 125

Ssolution is correct. Can also be graphically to see where 3x + 10y = 125 crosses line x = y + 7

x being cost adult and y being cost of kids ticket, look at y (kids price) of point of intersection

Answer:

40

Step-by-step explanation:

Answer: 40

Step-by-step explanation:

Answer:

10 inches

Step-by-step explanation:

The surface area of a cylinder is equal to 2 times the area of the base circles plus the height times the circumference.

[tex]SA=2A+Ch[/tex]

[tex]SA=2\pi r^2+2\pi rh[/tex]

Now substitute given values of radius and surface area

[tex]78\pi =2\pi (3)^2+2\pi (3)h[/tex]

Simplify.

[tex]78\pi =18\pi +6\pi h\\60\pi =6\pi h\\10=h[/tex]

The height is 10 inches.

Step-by-step explanation:

x = 4

m<ZVW = 36°

m<ZWV = 32°

The value of d when p = 28 is 12. The solution has been obtained by using the concept of proportions.

What is proportion?

A comparison of two numbers mathematically is called a proportion. Two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio, according to the law of proportion.

We are given that p varies directly with d.

This means that they are directly proportional to each other.

When d = 3, then p = 7

So, when p = 28, then d is

⇒d/28 = 3/7

⇒d = 3*4

⇒d = 12

Hence, the value of d when p = 28 is 12.

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The required value of x for the  rational expression x-4/4+x to become undefined is x = -4

Rational expressions are defined as fractions of algebraic expressions, such as ax + b / cx + d.

Here,
A fraction to become undefined must consist of zero in its denominator,
So
Given expression = x - 4 / 4 + x
The above expression can be undefined if and only if 4 + x = 0
x = -4

Thus, the required value of x for the rational expression x-4/4+x to become undefined is x = -4.

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Answer:

Step-by-step explanation:

You want the least common multiple (LCM) of {6a²b, 9b²c, 3c²a} and of {4x²y²z², 6x³yz, 12xy²z}.

The LCM of two or more terms is a product that has includes all of the factors of each of the terms. One way to find the LCM is to list the factors of the terms, identify the different ones and the powers of each, then choose the highest power of each of the different factors.

  6a²b — factors are ...

  9b²c — factors are ...

  3c²a — factors are ...

The distinct factors are ...

The product of highest powers is the LCM:

  LCM = 2¹·3²·a²·b²·c² = 18a²b²c²

The distinct factors are ...

The product of the highest powers is ...

  LCM = 2²·3¹·x³·y²·z² = 12x³y²z²

__

Additional comment

Sometimes the process of finding the LCM can be confused with finding the GCF (greatest common factor). The GCF will be the product of the lowest of the powers of the distinct factors. That power may be zero for any given factor in any given term.

For example, in the first set of terms, the factor 2 has a power of 0 in the last two terms. The factor 'a' has a power of zero in the second term; b has a power of 0 in the third term; c has a power of 0 in the first term. Then the GCF is ...

  2⁰·3¹·a⁰·b⁰·c⁰ = 3 . . . . . GCF of {6a²b, 9b²c, 3c²a}

In the second set of terms, 2 has a power of 1 in the 2nd term; 3 has a power of 0 in the 1st term; x, y, z all have powers of 1 in at least one of the terms. Then the GCF is ...

  2¹·3⁰·x¹·y¹·z¹ = 2xyz . . . . . GCF of {4x²y²z², 6x³yz, 12xy²z}

In short, every term must be a factor of the LCM, and the GCF must be a factor of every term.

One way to find the LCM of two terms is to divide their product by their GCF. The process can be repeated to include more terms in the LCM.

The volume of Economy Barrel is 785 litres.

The volume of Oceanview Barrel is 1766.25 litres.

The volume of Rainforest Barrel is 2649.375 litres.

The volume of Mountain Flow Barrel is 4710 litres.

The florist should buy Rainforest Barrel to have 2000L capacity without going bigger than needed.

What is volume?

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

The radius of Economy Barrel is = 50 cm

The height of Economy Barrel is = 100 cm

The formula for volume of a cylinder is -

Volume = πr²h

Substitute the values into the equation -

Volume = 3.14 × (50)² × 100

Volume = 3.14 × 2500 × 100

Volume = 785000 mL

Now converting it into litres -

785000 / 1000 = 785 Litres

Therefore, Economy barrel can hold 785 litres.

The radius of Oceanview Barrel is = 75 cm

The height of Oceanview Barrel is = 100 cm

The formula for volume of a cylinder is -

Volume = πr²h

Substitute the values into the equation -

Volume = 3.14 × (75)² × 100

Volume = 3.14 × 5625 × 100

Volume = 1766250 mL

Now converting it into litres -

1766250 / 1000 = 1766.25 Litres

Therefore, Oceanview barrel can hold 1766.25 litres.

The radius of Rainforest Barrel is = 75 cm

The height of Rainforest Barrel is = 150 cm

The formula for volume of a cylinder is -

Volume = πr²h

Substitute the values into the equation -

Volume = 3.14 × (75)² × 150

Volume = 3.14 × 5625 × 150

Volume = 2649375 mL

Now converting it into litres -

2649375 / 1000 = 2649.375 Litres

Therefore, Rainforest barrel can hold 2649.375 litres.

The radius of Mountain Flow Barrel is = 100 cm

The height of Mountain Flow Barrel is = 150 cm

The formula for volume of a cylinder is -

Volume = πr²h

Substitute the values into the equation -

Volume = 3.14 × (100)² × 150

Volume = 3.14 × 10000 × 150

Volume = 4710000 mL

Now converting it into litres -

4710000 / 1000 = 4710 Litres

Therefore, Mountain Flow barrel can hold 4710 litres.

Therefore, the florist should go with Rainforest barrel.

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Downtown Shopping stock photos, pictures and royalty-free images from iStock.

What is public parking?

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The 95% confidence interval for the mean daily income of a parking garage is between $5123.48 and $5134.52, indicating that the average daily income will be within this range.

Mean is a form of average that is calculated by adding all of the numbers in a set and then dividing the total number of numbers in the set by the total number of numbers in the set. It is sometimes referred to as the arithmetic average.

Assuming the assumptions given in section a) are correct, the 95% confidence interval for the mean daily income generated by this parking garage may be computed using the method for calculating the confidence interval for a population mean. This confidence interval is computed by taking the sample mean, 5129, and multiplying it by 1.96 times the standard error of the mean, which is the standard deviation divided by the square root of the sample size. As a result, the 95% confidence interval is (5123.48, 5134.52).

This 95% confidence range implies that we can be 95% certain that the average daily income generated by this parking garage will be between $5123.48 and $5134.52. To put it another way, we may be 95% positive that the average daily income in this parking garage is generated.

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S is not a function.

A function is a set of ordered pairs where each input (x-value) corresponds to one and only one output (y-value). In this set, S, there are multiple inputs (a, c, d) that correspond to the same output (3). This means that the input 'a' is not uniquely related to output '5' and 'b' is not uniquely related to output '3', etc. Therefore, S does not qualify as a function.

Answer:length=16, width=4

Step-by-step explanation:

P=40m

L=4W

P=L+L+W+W

40=4W+4W+W+W

40=10W

W=4

L=4W

L=4(4)

L=16



If A and B matrices have linearly independent column vectors, then the column vectors of C = AB will also has linearly independent column vectors.

Linearly independent vectors are defined when there exists no non-trivial linear combination of the vectors that equals the zero vector. We have, A∈ Rᵐ × Rⁿ and B∈ Rⁿ × Rʳ and C = AB . If both A and B both have linearly independent column vectors. So, A and B are invertible matrix . Then, Cᵀ = Aᵀ Bᵀ where the column vectors of A and B are row vectors of Aᵀ and Bᵀ matrices respectively. Also, the independence of A and B implies the independence of Aᵀ and Bᵀ. As we see Cᵀ = Aᵀ Bᵀ ,then Cᵀ is linearly independent. That means C is invertible matrix . So, the columns of matrix C is also be linearly independent.

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The sampling distribution of p is 0.0288 (to 4 decimals).

The sampling distribution of p is a theoretical distribution of the proportion of successes (p) in a sample of a given size, drawn from a population with a known proportion of successes (p). In this case, the proportion of successes is the proportion of complaints involving new car dealers that are resolved, which is given as 0.79 (to 2 decimals).

The standard error of the proportion is given by the formula:

[tex]SE = \sqrt{(p * (1 - p) / n)}[/tex]

where n is the sample size. Plugging in the values, we get:

[tex]SE = \sqrt{(0.79 * (1 - 0.79) / 200)}[/tex] = 0.0288 (to 4 decimals).

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The number of labor hours required to install the ceiling is 24.528 labor hours.

What is ceiling?

Ceiling is the overhead surface of a room, typically flat and finished with paint, wallpaper, or tiles. It is the highest point or top part of a room, and can be made up of different materials including drywall, plaster, tiles, or even wood. Ceilings also help to separate the room from the outside air and create a space that is more comfortable and insulated. Ceilings can be used to add visual interest to a room, as they can be decorated with different colours and textures. Ceilings can also be used to conceal mechanical and electrical systems, such as wiring, piping, and ductwork.

The number of labor hours required to install the ceiling is 24.528 labor hours. This is determined by multiplying the area of the ceiling (1,856 square feet) by the productivity rate (0.013 labor hours per square foot) and then multiplying that result by the productivity factor (0.95).

1,856 square feet x 0.013 labor hours per square foot x 0.95 productivity factor = 24.528 labor hours.

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Answer:

[tex]5x\leq 20[/tex]

[tex]$4[/tex] [tex]dollars[/tex]

Step-by-step explanation:

For the first question, since the maximum cost is $20, it has to be [tex]5x\leq 20[/tex] because less than or equal to 20 is the maximum.

For the second question, we solve:

[tex]5x\leq 20[/tex]

[tex]\frac{5x}{5} \leq \frac{20}{5}[/tex]

[tex]x\leq 4[/tex]

[tex]Answer[/tex] [tex]is[/tex][tex]:[/tex] [tex]4[/tex] [tex]dollars[/tex]

Answer:

The answer is most likely A.

The reason why, is because since the earning in 6 hours is $94.50, so the hourly wage would be, $15.75 because:

94.50/6 = 15.75

Graph B, for the first hour, the amount of dollars is correct, but in 11 hours, it says 25.75, which is not correct so Graph B cannot be it.

Graph C, shows that at hour 1, that it is 15.75 dollars, but at hour 2 16.75, as well with hour 3, 17.75. The graph is showing an increase of 1 dollar per hour, which is not correct so graph C is not it.

Graph D shows that at hour 6, there is $94.50, which is correct, but at hour 12, its 100.50. This is not true because , the hour has increased by 6, and when it increased by 6, the amount of pay increased by 6 as well, which is not the right way in which you would do so.

Option A is correct!

Step-by-step explanation:

Hope it helps! =D

I don’t know Answer:

Step-by-step explanation:

Answer:

a) The area of the rectangle is given by the product of its length and width. Thus:

Area = (4x - 3) * 2

Area = 8x - 6

b) The perimeter of a rectangle is the sum of the lengths of all four sides. The perimeter of this rectangle can be expressed as:

Perimeter = 2 * (length) + 2 * (width)

Perimeter = 2 * (4x - 3) + 2 * 2

Perimeter = 8x - 6 + 4

Perimeter = 8x

Answer:

1500

Step-by-step explanation:

Because they are 3 and if everyone pays it will be 1500

well, is three friends so each Nintendo is $500, so that's 3*500 = $1500 total, now let's add the 10% tax to that

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{10\% of 1500}}{\left( \cfrac{10}{100} \right)1500}\implies 150~\hfill \underset{\textit{total for all}}{\stackrel{1500~~ + ~~150}{\text{\LARGE 1650}}}[/tex]

After listening to the excerpts we can say that, excerpt z is exposition subject soprano, excerpt x is middle entries episode and excerpt y is closing

In music, a fugue is a contrapuntal compositional technique in two or more voices that is based on a subject (a musical theme) that is introduced at the beginning in imitation (repetition at different pitches) and that recurs frequently throughout the composition.

It should not be confused with a fuguing tune, a type of song that was popularized by early American music and West Gallery music and is primarily restricted to those genres. A fugue typically consists of three main sections: an exposition, a development, and a final entry that features the subject returning in the tonic key of the fugue. Recapitulations are included in some fugues.

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