3x² ×2x³

help please

Answer:

\(\huge\boxed{\dfrac{6}{7}-\dfrac{3}{x}=\dfrac{6x-21}{7x}}\)

Step-by-step explanation:

\(\dfrac{6}{7}-\dfrac{3}{x}=\dfrac{(6)(x)}{(7)(x)}-\dfrac{(7)(3)}{(7)(x)}=\dfrac{6x}{7x}-\dfrac{21}{7x}=\dfrac{6x-21}{7x}\)

Answer: 28

Step-by-step explanation:

28 is thhe missing number

The probability of Dhruv selecting a compact car, P(compact car), is 4/25, or approximately 0.16 when rounded to 2 decimal places.

We want to find the probability of Dhruv selecting a compact car (P(compact car)) when there are 13 trucks, 8 vans, and 4 compact cars at the dealership.

To find P(compact car), follow these steps:

1. Calculate the total number of vehicles:

13 trucks + 8 vans + 4 compact cars = 25 vehicles.

2. Determine the number of compact cars: 4 compact cars.

3. Calculate the probability: P(compact car) = (Number of compact cars) / (Total number of vehicles) = 4 / 25.

To know more about probability refer to

https://brainly.com/question/13604758

#SPJ11

∂g/∂u is equal to 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v)).

To find the indicated derivative, we need to use the chain rule. Let's differentiate step by step:

Given:

g(u, v) = f(x(u, v), y(u, v))

f(x, y) = 7x³y³

x(u, v) = ucos(v)

y(u, v) = usin(v)

To find ∂g/∂u, we differentiate g(u, v) with respect to u while treating v as a constant:

∂g/∂u = (∂f/∂x) * (∂x/∂u) + (∂f/∂y) * (∂y/∂u)

To find ∂f/∂x, we differentiate f(x, y) with respect to x:

∂f/∂x = 21x²y³

To find ∂x/∂u, we differentiate x(u, v) with respect to u:

∂x/∂u = cos(v)

To find ∂f/∂y, we differentiate f(x, y) with respect to y:

∂f/∂y = 21x³y²

To find ∂y/∂u, we differentiate y(u, v) with respect to u:

∂y/∂u = sin(v)

Now, we can substitute these partial derivatives into the equation for ∂g/∂u:

∂g/∂u = (21x²y³) * (cos(v)) + (21x³y²) * (sin(v))

To find the simplified form, we substitute the given values of x(u, v) and y(u, v) into the equation:

x(u, v) = ucos(v) = u * cos(v)

y(u, v) = usin(v) = u * sin(v)

∂g/∂u = (21(u * cos(v))²(u * sin(v))³) * (cos(v)) + (21(u * cos(v))³(u * sin(v))²) * (sin(v))

Simplifying further, we get:

∂g/∂u = 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v))

Know more about derivative here:

https://brainly.com/question/25324584

#SPJ11

Answer:

x>3

Step-by-step explanation:

The inequality which represents A number x is greater than 3 is x > 3.

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

Given that number is x

Then,

A number x is greater than 3

⇒ x > 3

Hence "The inequality which represents A number x is greater than 3 is x > 3".

For more about inequality,

brainly.com/question/20383699

#SPJ2

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Davis wants to pour 5 gallons of punch into ½ gallon jugs How many jugs will he need?

A. 2½

B. 5½

C. 10

D. 15

Answer:

Number of jugs = 10

Davis will need 10 jugs to pour 5 gallons of punch into ½ gallon jugs.

Step-by-step explanation:

David has 5 gallons of punch that he wants to pour into jugs.

The capacity of 1 jug is ½ gallon.

The required number of jugs may be found as

Number of jugs = gallons of punch/capacity of jug

For the given case, we have

Gallons of punch = 5

capacity of jug (in gallons) = ½ = 0.5

So, the required number of jugs is,

Number of jugs = 5/½

Number of jugs = 5/0.5

Number of jugs = 10

Therefore, Davis will need 10 jugs to pour 5 gallons of punch into ½ gallon jugs.

The probability that at least one of the nine randomly selected items from the production machine is defective is 0.522.

The probability that at least one of the nine randomly selected items from the production machine is defective is the complement of the probability that none of the nine items are defective. Then we will subtract the probability that there are no defects is 1.

The probability that a single item is defective is 9%, so the probability that a single item is not defective is 1 – 0.09 = 0.91. The probability that none of the nine items is defective is:

P(no defect) = 0.91 x 0.91 x 0.91 x 0.91 x 0.91 x 0.91 x 0.91 x 0.91 x 0.91 = 0.478.

The probability that at least one of the nine selected items is defective:

P(at least one defect) = 1 – P(no defect) = 1 – 0.478 = 0.522.

The probability that at least one of the nine randomly selected items from the production machine is defective is 0.522.

See more information about probability in: https://brainly.com/question/24756209

#SPJ11

Answer:

These are the answers

Step-by-step explanation:

The orbit of a planet is an ellipse, with the Sun at one of the two foci.

A line segment joining a planet and the Sun sweeps out equal areas during equal intervals of time.

The square of the orbital period of a planet is proportional to the cube of the semi-major axis of its orbit.

Hope it helped !

Answer:

The universal law of gravitation states that every particle attracts every other particle in the universe with a force that is directly proportional to the ...

Bernoulli formula: define focal length

Si unit of thrust: newton's third law of motion examples

This is right                                                                        

The system requires me to have 20 characters in my answer so I am just gonna add this.

The argument against the conjecture The area of a rectangle with a perimeter of 40 units must be at least one square unit. A rectangle with dimensions of 19.99 units long and 0.1 units wide has a 40 unit perimeter and an area of 0.1999 square units.

acc to our question-

The goal of the inquiry is to illustrate any potential connections between a rectangle's perimeter and area.

The counterexample presented dimensions that revealed the perimeter, which is 40, but omitted to provide the area, which is 1 square unit.

learn more about counterexamples click here:

https://brainly.com/question/24881803

#SPJ13

A factor is the product of one number multiplied by another number. When you multiply two or more numbers together, the original numbers are called factors.

Consider the following example: Factor pairs are two numbers that, when multiplied together, produce a specific product. The factor pairs of 12 are:1 x 12 = 122 x 6 = 123 x 4 = 12A factor is a number that divides into another number evenly. A factor is a divisor. Every number has at least two factors: one and itself.

A factor of a number is any number that divides into it evenly, leaving no remainder. Therefore, the correct answer to the given blank is A. Factor.

Factors are numbers that are multiplied to obtain a result, and they are commonly used in mathematics. They're an important component of problem-solving. In factoring, you'll break down an equation into smaller parts to make it more manageable, and then combine those smaller parts to solve the problem.

Factorization is the process of writing a number as a product of two or more factors. For example, the factorization of 12 is 2 × 2 × 3. The prime factorization of a number is the factorization in which all factors are prime.

Learn more about factor from the given link

https://brainly.com/question/14549998

#SPJ11

Given:

Amount needed = $12,300

Time = 4 years

Interest = 6% ==> 0.06

Compounded annually.

Let's find the present value.

To find the present value, apply the compounded interest formula:

Where:

A is the amount needed = $12,300

r is the interest rate = 0.06

t is the time = 4 years

P is the principa or the present value.

Ipput values into the formula and solve for P.

We have:

Divide both sides by 1.26245:

Therefore, the present value is $9742.75

ANSWER:

$9742.75

Answer:

The triangle which is congruent to triangle QRS is YXZ

We save $0.08 per cubic inch of soap if we buy the three-pack of the same soap, using the volume.

In the question, we are informed that a bar of soap with dimensions 2 * 4 * 0.5 inches is sold for $3 individually, and a three-pack of the same soap costs $8.

We are asked how much we save per cubic inch of soap if we buy the three-pack.

The volume of one soap bar = 2 * 4 * 0.5 cubic inches = 4 cubic inches.

The cost of one soap bar = $3.

Thus, the per unit cubic inch cost of buying one soap bar = $3/4 = $0.75.

The volume of the three-pack of the same soap = 3 * the volume of one = 3*4 cubic inches = 12 cubic inches.

The cost of the three-pack of the same soap = $8.

Thus, the per unit cost of buying a three-pack of the same soap bar = $8/12 = $0.67.

Thus, the saving per cubic inch of soap if you we the three-pack = $0.75 - $0.67 = $0.08.

Thus, we save $0.08 per cubic inch of soap if we buy the three-pack of the same soap, using the volume.

Learn more about volume at

https://brainly.com/question/10149580

#SPJ4

Answer:

Step-by-step explanation:

Domain is where x direction part of the function where it exists,

The function exists from 0 to 9 including 0 and 9. Can be written 2 ways:

Interval notation

0 ≤ x ≤ 9

Set notation

[0, 9]

Therefore, the depreciation expenses for the specified years using the MACRS method are as follows:  Year 2022: $71,450 Year 2025: $62,450 Year 2026: $44,650 Year 2030: $22,300 Year 2031: $22,300 as it assigns different depreciation rates based on the asset's recovery period.

To calculate the depreciation expense for the specified years using the MACRS (Modified Accelerated Cost Recovery System) method, we need to determine the depreciation rate for each year. MACRS assigns different depreciation rates based on the asset's recovery period. For petroleum production equipment, the recovery period is 7 years. We will use the 200% declining balance method for the calculations. Here are the depreciation rates for each year:

Year 2021: Not applicable (No depreciation in the first year)

Year 2022: 14.29%

Year 2023: 24.49%

Year 2024: 17.49%

Year 2025: 12.49%

Year 2026: 8.93%

Year 2027: 8.92%

Year 2028: 8.93%

Year 2029: 8.93%

Year 2030: 4.46%

Year 2031: 4.46%

To calculate the depreciation expense for each year, we multiply the depreciation rate by the initial cost of the equipment. The calculation for each year is as follows:

Year 2022: Depreciation expense = $500,000 * 14.29% = $71,450

Year 2025: Depreciation expense = $500,000 * 12.49% = $62,450

Year 2026: Depreciation expense = $500,000 * 8.93% = $44,650

Year 2030: Depreciation expense = $500,000 * 4.46% = $22,300

Year 2031: Depreciation expense = $500,000 * 4.46% = $22,300

To know more about depreciation expenses,

https://brainly.com/question/33098751

#SPJ11

The equations equivalent to 2.3p – 10.1 = 6.5p – 4 – 0.01p are;

The correct answer is option B and C

2.3p – 10.1 = 6.5p – 4 – 0.01p

collect like terms

2.3p - 6.5p + 0.01p = -4 + 10.1

-4.19p = 6.1

p = 6.1/-4.19

p = -1.46

2.3p – 10.1 = 6.5p – 4 – 0.01p

= 2.3p – 10.1 = 6.49p – 4

Given options:

2.3p – 10.1 = 6.4p – 4

False

2.3p – 10.1 = 6.49p – 4

True

230p – 1010 = 650p – 400 – p

divide through by 100

= 2.3p – 10.1 = 6.5p – 4 – 0.01p

True

23p – 101 = 65p – 40 – p

False

2.3p – 14.1 = 6.4p – 4

False

Therefore, 2.3p – 10.1 = 6.49p – 4; 230p – 1010 = 650p – 400 – p are equivalent to 2.3p – 10.1 = 6.5p – 4 – 0.01p.

Read more on properties of equation:

https://brainly.com/question/28293087

#SPJ1

Answer: 9.3

Step-by-step explanation:

Answer:

5.3 is the correct answers there you go enjoy

Angela's score is in the 87th percentile, which means that 87% of the scores were at or below her score.

To calculate the percentage of scores above her score, we subtract 87% from 100%. Therefore, the percentage of scores above Angela's score is 13%.

In summary, Angela's score is at or below 87% of the scores, and 13% of the scores are above her score. The percentile score indicates the percentage of scores that fall below a particular score. Therefore, Angela performed better than 87% of the test takers who took the aptitude test in accounting.

For more questions like Percentile click the link below:

https://brainly.com/question/13638390

#SPJ11

The general solution of the given second-order linear ordinary differential equation is y = (c1 + c2x)e^(5x) + 22/25, where c1 and c2 are arbitrary constants.

The given differential equation is y'' - 10y' + 25y = 22. To find the general solution, we first need to find the complementary function by solving the associated homogeneous equation, which is y'' - 10y' + 25y = 0.

Assuming a solution of the form y = e^(rx), we substitute it into the homogeneous equation and obtain the characteristic equation r^2 - 10r + 25 = 0. Solving this quadratic equation, we find that r = 5 is a repeated root.

Therefore, the complementary function is of the form y_c = (c1 + c2x)e^(5x), where c1 and c2 are arbitrary constants.

Next, we find a particular solution for the non-homogeneous equation y'' - 10y' + 25y = 22. Since the right-hand side is a constant, we can assume a constant solution y_p = a.

Substituting y_p = a into the differential equation, we find that 25a = 22, which gives a = 22/25.

Learn more about differential equation here:

https://brainly.com/question/32524608

#SPJ11

Answer:

B. \( y = kx \) , where k is the constant of proportionality.

Step-by-step explanation:

Given that quantity x and y is directly proportional to each other, which means as one variable increases, the other increases as well. Thus, the constant of proportionality, which is often denotes with the alphabet k, can be represented by the following equation:

\( y = kx \) , where, k is the constant of proportionality.

Constant of proportionality, k, is gotten when you divide the value of y by the value of x.

Yes. A leg of a right triangle can indicate the distance that separates two vertical or horizontal points, and the hypotenuse can represent the distance between two non-vertical or non-horizontal points.

We can use this theorem to calculate the distances between two locations on a coordinate grid. Consider the following example using the points:

( 3, 4 ) and ( − 2, 1 )

We can see how to make a right triangle with the hypotenuse as that of the line connecting these two spots. A right angle is formed at the coordinates ( 3, 1), where the vertical line from ( 3, 4 ) and the horizontal line from ( 2, 1 ) intersect.

To learn more about the distance between any two points, use the link below.

https://brainly.com/question/20436215?referrer=searchResults

#SPJ4

Answer:

dfhfhg

Step-by-step explanation:

Answer:  D) whole numbers, integers, and rational numbers

Explanation:

The set of whole numbers is {0,1,2,3,...} which the number 37 belongs to. This set only deals with numbers that don't have any fractional or decimal part to them. The negative numbers are not in this set.

The set of integers is {..., -3, -2, -1, 0, 1, 2, 3, ...} which 37 belongs to as well. The integers is basically the whole numbers but now we're considering negative values too.

Rational numbers involves dividing any two integers, as long as the denominator is not zero. Examples include -2/3 and 5/7. The number 37 is rational because 37 = 37/1.

The number 37 is in every set mentioned.

Answer:

2

Step-by-step explanation:

The difference between the distances is 35 km.

Given, the car started at  a distance 40 km.

The car finished the ride at 5 km.

The distance formula, d = st, or distance equals speed times time, can be used to calculate distance. Speed and rate are comparable because they both denote a certain amount of travel per unit of time, such as miles per hour or kilometers per hour. If speed s is equal to rate r

The difference between the distance is:

difference is:

40-5

= 35 km

Hence the difference between the distances are 35 km.

Learn more about Distance here:

https://brainly.com/question/17146782

#SPJ1

The standard deviation is 16.54 if the population of customers ages is 45, 76, 30, 22, 51, 40, 63, 66, and 41.

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

\(\rm SD = \sqrt{\dfrac{ \sum (x_i-X)^2}{N}\)

SD is the standard deviation

xi is each value from the data set

X is the mean of the data set

N is the number of observations in the data set.

It is given that:

The data set:

45, 76, 30, 22, 51, 40, 63, 66, 41

From the formula:

∑(x(i) - X)² = 2463.55

N = 9

SD = √(2463.55/9)

SD = 16.54

Thus, the standard deviation is 16.54 if the population of customers ages is 45, 76, 30, 22, 51, 40, 63, 66, and 41.

Learn more about the standard deviation here:

brainly.com/question/12402189

#SPJ4

Answer:
3(n+7) =
(3)(n) + (3)(7) =
3n + 21

Step-by-step explanation:

I hope this helps you :D

Answer:

T = Toby

T=(23+4)/3

Step-by-step explanation:

If Jennifer’s age is 4 less than 3 times Toby’s age then Jennifer’s age by three,

T=(23+4)/3

and 3 times that, so we divide

T=(23+4)/3

Then Toby is 9 years of age, and shouldn’t be driving.