Solve the equation using Inverse operatlons.
2 + x^3=18

When two tables have a one-to-many relationship, you typically need to add a foreign key to the table on the "many" side to link the records to the corresponding record in the "one" table.

In a one-to-many relationship, the table on the "one" side is usually the primary key table, and the table on the "many" side is usually the foreign key table. The foreign key is used to link the records in the "many" table to the corresponding record in the "one" table. This is done by adding a column to the "many" table that contains the primary key value from the "one" table.

When designing a database, it is important to establish relationships between tables to ensure data integrity and avoid redundant data. In a one-to-many relationship, one record in the primary key table can be associated with many records in the foreign key table. To establish a one-to-many relationship, you need to create a primary key in the "one" table and a foreign key in the "many" table. The foreign key is a column that contains the primary key value from the "one" table. For example, if you have a "customers" table and an "orders" table, the "customers" table would be the primary key table and the "orders" table would be the foreign key table. Each record in the "orders" table would have a foreign key column that contains the customer ID from the "customers" table.

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Work Shown:

x = number of light bulbs

3.40x = total cost to buy x light bulbs, cost is in pounds

3.40x = 30

x = 30/(3.40)

x = 8.823529 approximately

Rounding down, we get 8

Note that,

Therefore, the highest number of bulbs that can be bought is 8.

The change given will be 30-27.20 = 2.80 pounds

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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The y-intercept is 3.

The rate of change is 2 and the initial value 5.

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Given:

A zoo charges a rental fee plus $2 per hour for strollers.

The total cost of 5 is $13.

Assume the relationship is linear.

Let x be the number of hours.

And y be the total cost.

So,

y = 2x + m, where m is the rental fee.

Here, x = 5 and y = 13

So,

13 = 10 + m, where m is the rental fee.

m = 3

So, the equation is y = 2x + 3.

When x = 1,

y = 5.

Here, 3 is the y-intercept and 2 is the rate of change.

Hence, 3 is the y-intercept and 2 is the rate of change.

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Answer:

3.5 pounds

Step-by-step explanation:

7/8 / 1/4 =7/8*4=7/2=3.5

Answer:

\(\boxed{(f~.~g)(x) = 2n^4 + 2n^3 - 4n^2 -4n}\)

.

Step-by-step explanation:

We know that

\(f(n) = n^3 - 2n\)

\(g(n) = 2n + 2\)

.

So

\((f~.~g)(x) = f(n)~.~g(n)\)

\((f~.~g)(x) = (n^3-2n)(2n + 2)\)

\((f~.~g)(x) = n^3(2n + 2) - 2n(2n + 2)\)

\((f~.~g)(x) = 2n^4 + 2n^3 - 4n^2 -4n\)

Answer:

2jj2j wnqj qkwk abaia aow w wka a9w wjw a8uaaia sks sis s8siwobsisi shkahza a

Step-by-step explanation:

bs ak la ya s dyua youa au ab fusn aigska

Answer:

-69. Nice!

Step-by-step explanation:

The slope of a line between two points is defined as the ration between the vertical distance and the horizontal distance - note that it doesn't matter if you go from the first to the second point, or the opposite, signs will end up fixed anyways. Let's get calculating!

\(\Delta y = -12 -57 = -69 \\ \Delta x = 99 - 98 = 1\)

Your slope is \(m = {\Delta y \over \Delta x}={-69 \over 1 } = -69\)

(21)(x^6)(y^5) / (14)(x^2)(y^9)

Step 1: Coefficients

---This is just like simplifying fractions!

21 / 14 = 3 / 2

Step 2: Variables with exponents

---Remember to subtract exponents because this is division!

x^6 / x^2 = x^4 / 1

y^5 / y^9 = 1 / y^4

Answer: (3)(x^4) / (2)(y^4)

Hope this helps!! :)

Answer:

Is 11

Step-by-step explanation:

x+(-y)+z —> -5 +(+7)+9 = -5+7+9 = 11

Answer:

(-2,6) 〆(・∀・＠)

Step-by-step explanation:

The Two Lines intercept.

The appropriate domain for the number of miles travelled by the taxi is found as: [0, 25]

In a two-variable linear equation, x and y have a linear connection, meaning that the value of any one of the variables, y, relies upon that value of the other, x.

Cost for first mile of  taxi service  = $2.00

Additional cost = $1.20 per mile.

Peak distance = 25 miles.

a = number of miles traveled by taxi.

y = total cost of the taxi ride

The linear equation forms:

y = $1.20a + $2.00

When a = 0; y = $2.00

a = 25 ; y = $1.20*25 + $2.00 = 32

Thus, the appropriate domain for the number of miles travelled by the taxi is found as: [0, 25]

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What is the question for this so I can answer it?

Answer: x = 45

Step-by-step explanation:

Given information

Tina's age (now) = 15 years old

Carl's age (now) = x years old

Ratio of age (3 years ago) = Tina : Carl = 2 : 7

Set equation according to the given information

(15 - 3) / (x - 3) = 2 / 7

Cross multiply

7 (15 - 3) = 2 (x - 3)

Simplify by subtraction in the parentheses

7 (12) = 2 (x - 3)

Simplify by multiplication

84 = 2 (x - 3)

Divide 2 on both sides

84 / 2 = 2 (x - 3) / 2

42 = x - 3

Add 3 on both sides

42 + 3 = x - 3 + 3

\(\boxed{x=45}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

x = 45

Step-by-step explanation:

Let the present age of Carl be x.

Given Tina's present age is 15 and 3 years ago, the ratio of Tina's and Carl's ages was 2:7

Then 3 years ago, Tina's age will be

\( \\ 15 - 3 = 12 \: years\)

and, Carl's age will be x - 3

and they are in the ratio 2:7.

therefore,

\( \\ \: \: \: \: \: \: \: \: 12 \ratio(x - 3) = 2 \ratio7\)

\( \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{12}{x - 3} = \frac{2}{7} \)

\( \\ \sf \: by \: cross \: multiplication\)

\( \\ \: \: \: \: \: \: 12 \times 7 = 2(x - 3) \)

\( \\ \: \: \: \: \: \: x - 3 = \frac{84}{2} = 42\)

\( \\ \: \: \: \: \: \: \: \: \: \: \: \: x = 42 + 3\)

\( \\ \: \: \: \: \: \: \: \: \: \: \: \: \therefore \: \: x = 45\)

The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.

The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.

Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.

Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.

To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.

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−3x+5(x+3)=23

−3x+5(x+3)=23

−3x+(5)(x)+(5)(3)=23

−3x+5x+15=23

(−3x+5x)+(15)=23

2x+15=23

2x+15−15=23−15

2x=8

2     2

x=4

Answer:

x=4

Step-by-step explanation:

Answer:

8x^2 + 8y^2 - y^3

Step-by-step explanation:

3x + 3y + 5x + 5y - y^3- (combine like terms)

8x^2 + 8y^2 - y^3

The distance Martin climbs in 60 minutes is 18 meters

From the question, we are to determine how many meters Martin can climb in 60 minutes

Let the distance he climbs in 60 minutes be x

From the given information,

Martin climbs 3 meters in the first 10 minutes

If Martin climbs 3 meters in 10 minutes

Then,

Martin will climb x meters in 60 minutes

Thus,

x × 10 = 3 × 60

Solve for x

10x = 180

x = 180/10

x = 18

Hence, the distance is 18 meters

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Answer:

Step-by-step explanation:

True. But there is a very high chance of not happening

Answer:

V=whl=3.25·2.5·4.5=36.5625 cm

Step-by-step explanation:

Formula: V=whl

Width and base are interchangeable words so all you do is plug the base into (w).

Turn the fractions into decimals and multiply.

3 1/4 = 3.25

2 1/2 = 2.5

4 1/2 = 4.5

3.25*2.5*4.5 = V

V = 36.5625 cm

Answer: 1870.2

Step-by-step explanation:

Hope this helps!

Answer:

22442 ÷ 12 = 1870.16666.....

The average velocity of the object after during the first three seconds is: 48m/s

The time at which the instantaneous velocity equals the average velocity within the first three seconds is 1.5 seconds.

Instantaneous velocity  is the speed of an object at a particular point in time.

Average velocity is the velocity of an object after covering a certain distance for a period of time

Analysis:

Given

initial height = 600 feet

Height with respect to time = f(t) = -16\(t^{2}\) + 600

a) Height at t = 0 = 600 feet

    Height at t = 3 seconds = f(3) = -16\((3)^{2}\) + 600 = 456 feet

Distance travelled  = 600 - 456 = 144 feet

Average velocity = distance travelled/time taken  = 144/3 = 48 feet/seconds

b) instantaneous velocity at time t = \(\frac{df(t)}{dt}\) = \(\frac{d(-16t^{2} + 600) }{dt}\) = -32t

  when instantaneous velocity equal average velocity

     -32t = -48

      t = 1.5 seconds

In conclusion, the Average velocity after 3 seconds is 48 feet per seconds and the time taken for the average velocity to equal the instantaneous velocity is 1.5 seconds.

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Yes, the vector v is necessarily orthogonal to w if v is in the image of the symmetric matrix A and w is in the kernel of A.

Yes, the vector v is necessarily orthogonal to w if v is in the image of the symmetric matrix A and w is in the kernel of A. This is due to the fact that for any symmetric matrix A, the image (column space) and kernel (null space) are orthogonal subspaces. Since v is in the image of A and w is in the kernel of A, their dot product must be zero, indicating orthogonality.

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Answer:thanks :)

Step-by-step explanation:

Answer:

Thx or the notice and free points

THIS IS TRUE NOT FAKE

WARNING!!!

Step-by-step explanation:

Answer:

12 and 8

Step-by-step explanation:

basic knowledge of math i guess

hope that helps love

Step-by-step explanation:

5(1+x)

= 5 + 5x

= 5x + 5

.......

Answer:

(−∞,∞)

Step-by-step explanation:

5(1+x)=5x+5

5*1=5

(5+x)=5x+5

5*x=5x

5+5x=5x+5

5-5=0

5x-5x=0

The true statements for the given function f(x) are:

The value of g(1) is 3 and the y- intercept of g(x) is at the point (0, 1) .

The function g(x) = f( x - 3 )

g (1) = f (1 -3 )

       = f (-2 )

       = 3

g (-1) = f (-1 -3)

       = f (-4)

       = - 1

Substituting , x = 0 to find the y intercept of g(x)

g ( 0 ) = f ( 0 - 3)

          =f (-3)

          =1

The y intercept of g(x) is at the point (0, 1)

Thus, options 1 and 4 are the true statements for the given function.

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The magnetic field generated by the wires at the point (x=4m, y=4m) carrying identical currents of 90A out of the page is 2.50 x \(10^{-6\) T or 2.50 μT.

Hence option b is correct.

According to the given information,

We can use the Biot-Savart Law to calculate the magnetic field generated by these wires at the given point.

Using the formula, we get:

B = (μ0/4π) I [(sinθ1 + sinθ2) / 2] / d,

Where,

μ0 is the permeability of free space (4π x \(10^{-7}\) T m/A),

I is the current (90 A),

θ1 and θ2 are the angles between the wire and the vector pointing from the wire to the given point,

And d is the distance between the wires (8 m).

To find θ1 and θ2, we can use Trigonometry:

θ1 = sin inverse (y/d)

   = sin inverse (4/8) = 30°

θ2 =  sin inverse [(y-d)/d]

     =  sin inverse [(4-8)/8]

     = -30°

Substituting these values into the formula, we get:

B = (4π x \(10^{-7}\) T m/A) 90 A [(sin30° + sin(-30°)) / 2] / 8 m

B = 2.50 x \(10^{-6\)  T

   = 2.50 μT

Therefore, the correct option is (b) 2.50 x  \(10^{-6\)  T (or 2.50 μT).

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The complete question is attached below:

Answer: option c