write the expression. use xxx as the variable. six times the sum of nine and a number

The value of -3(U x V) is 366. None of the options is correct.

What is dot product?

A pair of vectors' dot product is the result of adding the products of each corresponding component. It is equal to their product of magnitudes times the cosine of the angle at which they are separated. The magnitude square of a vector is its dot product with itself.

The given vectors are U=-6i-10j and V = 7i + 8j.

The formula of dot product is

A = x₁i + y₁j and  B = x₂i + y₂j

A.B = x₁x₂ + y₁y₂.

Apply the formula:

U.V = (-6×7) + (-10×8)

=-42 - 80

= - 122

Now calculate -3(U . V):

-3(U . V) = -3×(- 122)

-3(U . V) = 366

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Answer:

It is true that the product of a complex number and its conjugate is a real number.

Step-by-step explanation:

You're welcome.

Answer:

True

Step-by-step explanation:

....this is how you 'rationalize' denominators that have complex numbers in them

Answer:

3/2

Step-by-step explanation:

3^2=9

2^2=4

3/2 and -3/2

sqr of 9 is 3 or 3

sqr of 4 is 2 or -2

Answer:

a 1000 times// just divide them

Answer:

10,000 times Larger

Step-by-step explanation:

To determine the multiple larger for 86,000,000 than 8,600, we simply will use the division operation and the result will be the multiple.

86,000,000 / 8,600 = 10,000

Hence, the number 86,000,000, is 10,000 times larger than 8,600.

Another method is simply to look at the additional zeroes that 86,000,000 has in comparison to 8,600.  Since we can see that 86 is the only non-zero digit within the two numbers, we can use the properties of the decimal system to compare.  Note that 86,000,000 has 6 zeroes, while 8,600 has two zeros.  This means that we will need 4 zeroes as part of our tens multiple, so we can say that 10,000 is the multiple.  Once again, we see that 86,000,000 is 10,000 times larger than 8,600.

Cheers.

Answer:

y<or equal to 5/2x + 5

Step-by-step explanation:

when graphing inequalities, the line is solid when the inequality is also "or equal to". also, the less than sign indicates that the area below the line will be shaded. the y intercept is the y value when x is 0, so + 5. the slope, calculated with rise over run, is 5/2x

fir the x missing think is 11 and for the other f(×) is 24

Step-by-step explanation:

A shaded right rectangular pyramid is shown. where is the shade rectangular pyramid....how do I know the answer when you did post the full

question

In linear equation, 3782.94  is his new balance.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                          Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

balance * APR / 12 = interest

where APR stands for annual percentage rate and 12 represents the number of months in a year.

When we apply this formula to Samir's balance and APR, we get:

5,091.55 * 0.157 / 12 = 66.61 in interest

As a result, the total new balance is:

5,091.55 - 746 + 496 + 66.61 = 3782.94

We get the following when we round to the nearest hundredth:

$3782.94

As a result, Samir now has a balance of $3782.94.

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True, if S generates the vector space V, then every vector in V can be written as a linear combination of vectors in S in only one way.

In a vector space V, a set of vectors S is said to generate V if every vector in V can be expressed as a linear combination of vectors in S. This means that for any vector v in V, there exist unique coefficients (scalars) such that v can be written as a linear combination of vectors in S.

To prove this, we can consider two cases:

Every vector in V can be written as a linear combination of vectors in S:

In this case, for any vector v in V, we can write v as a linear combination of vectors in S using unique coefficients. This means that there is only one way to express v as a linear combination of vectors in S, and the coefficients are unique for each vector in V.

There exists a vector in V that can be written as a linear combination of vectors in S in more than one way:

This case contradicts the assumption that S generates V, because if there exists a vector in V that can be expressed as a linear combination of vectors in S in more than one way, then the coefficients are not unique. This implies that S does not generate V, which contradicts the premise of the question.

Therefore, if S generates the vector space V, then every vector in V can be written as a linear combination of vectors in S in only one way.

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The approximate noon Sun angle at 41°N latitude (on Long Island) on February 14th is 61°. None of the provided answer choices match the correct answer.

To calculate the approximate noon Sun angle at 41°N latitude (on Long Island) on February 14th, we can use the analemma.

The analemma is a figure-8 shaped curve that represents the position of the Sun in the sky at the same time each day over the course of a year. It accounts for the Earth's axial tilt and elliptical orbit around the Sun.

To find the approximate noon Sun angle, we need to consider the declination of the Sun on February 14th and the latitude of Long Island.

On February 14th, the Sun's declination is approximately -12°.

The Sun angle at noon can be calculated using the following formula:

Sun angle = 90° - (latitude - declination)

Substituting the values, we have:

Sun angle = 90° - (41° - (-12°))

Simplifying this equation, we get:

Sun angle = 90° - 41° + 12°

Sun angle = 61°

Therefore, the approximate noon Sun angle at 41°N latitude (on Long Island) on February 14th is 61°.

None of the provided answer choices match the correct answer.

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The value of x in the circle is 3.

We have,

In geometry, a secant is a line that intersects a circle at two distinct points.

The formula for two secant segments on a circle states that the product of the lengths of one secant segment and its external segment is equal to the product of the lengths of the other secant segment and its external segment.

We will use the formula for two secants on a circle.

So,

There are two secant segments on the circle.

This means,

5 x (5 + 3x + 1) = 6 x (6 + 2x)

Now,

Solve for x.

5 x (5 + 3x + 1) = 6 x (6 + 2x)

Distributive property.

5 x (6 + 3x) = 6 x (6 + 2x)

Adding like terms

30 + 15x = 36 + 12x

15x - 12x = 36 - 30

2x = 6

Divide 2 on both sides.

x = 3

Thus,

The value of x in the circle is 3.

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Answer:

None

Step-by-step explanation:

If 1/3 is left every hour  then it would  then after 3 hours wouldn't it be gone? Most would assume if only a third of the water is left every hour then after three hours there would be either of two answers if the question was written correctly: one third because they refilled it on the 2nd hour or none because it wouldn't even last two hours

Answer:

c=5.87g

Step-by-step explanation:

because you know c is total cost and g is grams. 5.87g would be the cost per gram multiplied by the number of grams you need.

Answer:

the price with the offer is going to be 1.59$

Step-by-step explanation:

\( \frac{x}{5.30} = \frac{70}{100} \)

\(100(x) = 70(5.30)\)

\(100(x) = 371\)

\( \frac{100(x)}{100} = \frac{371}{100} \)

\(x = 3.71\)

\(70\% \: \: \: of \: \: \: 5.30 \: \: \: is \: \: \: 3.71\)

\(5.30 - 3.71 = 1.59\)

The difference between the rings R and ℤm is that R is a ring of residue classes modulo m, while ℤm is the ring of integers modulo m.

In R, the elements are the residue classes {0, 1, 2, ..., m-1}, and the operations ⊕ and ⊙ are defined based on modular arithmetic. The addition operation ⊕ computes the sum of two elements a and b, modulo m, while the multiplication operation ⊙ computes the product of two elements a and b, modulo m.

On the other hand, ℤm consists of the residue classes {0, 1, 2, ..., m-1}, but the operations in ℤm are standard addition and multiplication modulo m, without the need for the residue class notation. The addition in ℤm is performed by adding the integers and taking the remainder modulo m, while the multiplication is performed by multiplying the integers and taking the remainder modulo m.

Both R and ℤm are similar in that they are rings, which means they satisfy the axioms of a ring: closure under addition and multiplication, associativity, commutativity of addition, existence of additive and multiplicative identities, and distributivity. The main difference lies in the notation and the specific operations used in each ring, with R emphasizing the residue class notation and the use of modular arithmetic operations, while ℤm uses standard arithmetic operations with modulo.

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Answer:

4-6= 2 and 8-12= 4

Step-by-step explanation:

hope this helps

Selecting ball number 25 has no chance of happening.

Probability is only the likelihood that something will occur. When we don't know how something will turn out, we might discuss the likelihood of various outcomes or the potential of one. Statistics is the scientific study of events that conform to a probability distribution.

It is predicated on the likelihood that something will take place. The rationale for probability serves as the theoretical probability's essential tenet. A coin has a 12% chance of landing on its head, for instance, when it is flipped.

Probability is a statistic that is used to indicate the likelihood or potential for an event to occur. Both fractions from 0 to 1 and percentages from 0% to 100% can be used to indicate probabilities.

In 25th Ball it is 0

Because there is no 25th ball

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Answer:

Full drum 80 dollars

one lid missing

earn 10 dollars less

Step-by-step explanation:

We need to find the surface area

SA = 2 pi r^2  + 2 pi rh

The diameter is 2 so the radius = 2/2 =1

SA = 2 * pi * 1^2  + 2 * pi * 1 * 3

      = 2 pi + 6pi

      = 8pi

Using pi = 3.14

SA = 8 *3.14 = 25.12 ft^2

We get 3.18 per ft^2

25.12 * 3.18 =79.88

To the nearest dollar

80 dollars

If one of the lids is missing

SA =  pi r^2  + 2 pi rh

        pi + 6pi

        7 pi

Using pi = 3.14

SA = 7 *3.14 = 21.98 ft^2

We get 3.18 per ft^2

21.98 * 3.18 =69.90

To the nearest dollar

70

The difference is 10 dollars

Answer:

\(\Huge \boxed{\mathrm{a) \ \$ \ 80}} \\\\\\\\ \Huge \boxed{\mathrm{b) \ \$ \ 10}}\)

\(\rule[225]{225}{2}\)

Step-by-step explanation:

Surface area of the cylinder :

2πr² + 2πrh

The diameter is 2 ft, so the radius is 1 ft.

⇒ 2π(1)² + 2π(1)(3)

⇒ 8π ≈ 25.13

$3.18 is getting payed per square foot.

⇒ 25.13 × 3.18

⇒ 79.9221171073 ≈ 80

If the lid was missing:

πr² + 2πrh

π(1)² + 2π(1)(3)

7π ≈ 21.99

$3.18 is getting payed per square foot.

⇒ 21.99 × 3.18

⇒ 69.9318524689 ≈ 70

The difference :

80 - 70 = 10

$10 less if the lid is missing.

\(\rule[225]{225}{2}\)

Answer:

10/6 = 10/6

 ↓

1 4/6 = 10/6

Step-by-step explanation:

5/6 + 5/6 = 10/6

                    ↓

                  1 4/6

10/6 ÷ 2 = 5/3

10/6 = 10/6

1 4/6 = 10/6

For the given scenario, the distance traveled by the first car after t seconds is 10t^2+50t meters, while the distance traveled by the second car is not provided. Therefore, the exact distance between the two cars cannot be determined without additional information.

To find the distance between the two cars, we need to know the distance traveled by the second car after t seconds. Without this information, we cannot determine the distance between the two cars at any given time. However, we can make some general observations about the situation.

If the second car travels a greater distance than the first car, the distance between the two cars would increase over time. Conversely, if the second car travels a shorter distance than the first car, the distance between them would decrease over time. Additionally, if the second car travels the same distance as the first car, the distance between the two cars would remain constant.

In conclusion, without knowing the distance traveled by the second car, we cannot determine the exact distance between the two cars at any given time. However, we can make some general observations about the situation based on the relative distances traveled by the two cars.

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Answer:

69

Step-by-step explanation:

N

i

g

g

a

Answer:

y = 7x + 36

Step-by-step explanation: Slope intercept form is y = mx + b where your slope is m, your b is the y-intercept, and x and y are your plot points. To solve this you just plug in the numbers. We already know the slope is 7 so we have our m, now we plug in the coordinate (-5, 1) with -5 as x and 1 as y. Plug them in and now you have the equation 1 = 7(-5) + b. You want to solve for b. So you end up getting b= 36. Now you have your y intercept so your final equation is y = 7x + 36. Hope this helped!!

Answer:

157.275 square mm

Step-by-step explanation:

To find the area of a right triangle, we should first visualize a rectangle. A rectangle has an area of the length times the width. Now, a right triangle is just half of a rectangle, divided across the diagonals, so our formula for the area of a triangle is Length times width / 2.

We can see here that the length is 23.3 mm, and the width is 13.5. Plugging  these into the formula:

area = 23.3 x 13.5/2

area  = 157.275

Answer:

$3,690

Explanation:

The shipping charge for all 3 TVs =$90

Cost of a TV = $1200

Therefore, the cost of 3 TVs = 3 x $1200 =$3,600

The total amount paid by Gordon will be:

=$3600+90

=$3,690

The measure of arc BC is 720 times the measure of angle BAC.

Given that AC is the diameter of the circle and AB is a chord with a length of 16 units, we need to find BC (the length of the other chord) and mBC (the measure of angle BAC).

To find BC, we can use the property of chords in a circle. If two chords intersect within a circle, the products of their segments are equal. In this case, since AB = BC = 16 units, the product of their segments will be:

AB * BC = AC * CE

16 * BC = 2 * r * CE (AC is the diameter, so its length is twice the radius)

Since the area of the circle is given as 289 square units, we can find the radius (r) using the formula for the area of a circle:

Area = π * r^2

289 = π * r^2

r^2 = 289 / π

r = √(289 / π)

Now, we can substitute the known values into the equation for the product of the segments:

16 * BC = 2 * √(289 / π) * CEBC = (√(289 / π) * CE) / 8

To find mBC, we can use the properties of angles in a circle. The angle subtended by an arc at the center of a circle is double the angle subtended by the same arc at any point on the circumference. Since AC is a diameter, angle BAC is a right angle. Therefore, mBC will be half the measure of the arc BC.

mBC = 0.5 * m(arc BC)

To find the measure of the arc BC, we need to find its length. The length of an arc is determined by the ratio of the arc angle to the total angle of the circle (360 degrees). Since mBC is half the arc angle, we can write:

arc BC = (mBC / 0.5) * 360

arc BC = 720 * mBC

Therefore, the length of the arc BC equals 720 times the length of the angle BAC.

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She'll need 4 gallons of 15% ethanol gasoline and 5 gallons of 78% ethanol gasoline.

An expression or mathematical expression is a finite collection of symbols that is well-formed according to context-dependent norms.

Here,

The number of gallons required of both kind would be as follows:

4 gallons having 15% ethanol

5 gallons having 78% ethanol

Given that,

The 2 kinds of gases are:

One with 15% ethanol

Other with 78% ethanol

Given that,

The gases(ethanol and gasoline) are diluted in a such a manner that it involves a total of only 50% ethanol.

Number of gallons she wants to use = 9

This shows that only 50% of 9 gallons i.e. 4.5 gallons of ethanol can be used.

Assuming x being the gasoline's measure that is diluted with 15% ethanol.

Now,

The gasoline's measure that is diluted with 78% ethanol would be = 9 - x gallons

Therefore,

x × 15% + (9-x) × 78% = 4.5

On solving, we get

x = 4 gallons

Thus,

The measure of gallons having 15% ethanol = 4

The measure of gallons having 78% ethanol = (9 - x)

= (9 - 4)

= 5 gallons

She will use 4 gallon of 15% ethanol gas and 5 gallon of 78% ethanol gas.

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Natalie had a total of 61 square yards of flower patch altogether.

To calculate the total flower patch, we need to add the area of the two flower patches that Natalie planted.

The first flower patch was 38 square yards and the second flower patch was 23 square yards. Adding these two numbers together, we get a total of 61 square yards of flower patch. Therefore, Natalie had 61 square yards of flower patch altogether.

To help visualize this, we can use a model. We can draw two squares to represent the two flower patches, one with an area of 38 square yards and the other with an area of 23 square yards. We can then add the areas of the two squares together to get the total area of flower patch that Natalie had. This model helps us see that the total area is simply the sum of the areas of the two individual flower patches.

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Answer: only x=3 is a solution and only x=1 is an extraneous root

For the given expression (x/x-1) - (3/x) = 1/x-1 both x=3 and x=1 are solutions. The correct option is B.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is  (x/x-1) - (3/x) = 1/x-1. Check the solution of the expression,

(x/x-1) - (3/x) = 1/x-1

( 3 / 3 - 1 ) - ( 3 / 3 ) = 1 ( 3 - 1 )

( 3 / 2 - 1 ) = 1 / 2

1 / 2 = 1/2

For x = 1 the value is the same.

Therefore, both 3 and 1 are solutions to the given formula (x/x-1) - (3/x) = 1/x-1.

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The given process is an example of a cluster system.

The clustered systems are a combination of hardware clusters and software clusters.

The hardware clusters help in sharing of high-performance disks between the systems.

The software clusters makes all the systems work together.

Each node in the clustered systems contains the cluster software.

A cluster refers to a group of inter-connected computers where it works together to support applications and middleware (e.g. databases).

In a cluster, each & every computer is known to be a “node”.

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Answer: D. cluster sampling

Step-by-step explanation:

Interval of increase: (-∞, -1) ∪ (3, +∞)

Interval of decrease: (-1, 3)

Given function is f(x) = x³ - 3x² - 9x + 4

Differentiating with respect to x,

f'(x) = 3x² - 6x - 9

f'(x) = 3 (x² - 2x - 3)

f'(x) = 3 (x² - 3x + x - 3)

f'(x) = 3 (x(x - 3) + (x - 3))

f'(x) = 3 (x - 3) (x + 1)

For increasing or decreasing,

f'(x) = 0

3 (x - 3) (x + 1) = 0

x = - 1, 3

In interval (-∞, -1 ), f'(x) = positive,

⇒ f(x) is increasing on (-∞, -1 ),

In interval (-1, 3), f'(x) = negative,

⇒ f(x) is decreasing on (-1, 3),

In interval (3, ∞), f'(x) = positive,

⇒ f(x) is increasing on (3, ∞),

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Given question is incomplete, the complete question is below

Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x³ - 3x² - 9x + 4 (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) Find the interval on which f is decreasing. (Enter your answer using interval notation.)