a) write 63 as the product of prime numbers.
write the prime numbers is ascending order.

b) work out the highest common factor of 63 and 105.

Answer:

1: Size

2: Congruent

3: Proportional

Step-by-step explanation:

Hope that helped

Answer:

poopoopeepee

Step-by-step explanation:

Answer:

AB=15  BD=18

Step-by-step explanation:

AB is 15 because AB=AC and AC is 15

BD:

Using the Pythagorean Theorem

10²+15²=√325

√325=18

10 is from AB-CD

15 is the height which is AC

Answer:

BD = 5, and AB = 15 :)

1. Set up: To set up a void function, define it with the keyword "void" in the function signature, such as void functionName(). For a value-returning function, specify the return type in the function signature, such as dataType functionName().

2. Implementation and Documentation: In the implementation of the void function, write the necessary code to perform the desired actions. For a value-returning function, include a return statement to return the desired value. Properly document the function by providing a meaningful function name, describing the purpose of the function, and specifying any input parameters and the return value (if applicable).

1. Set up: To set up a void function, use the keyword "void" in the function signature. For example:

c++

void functionName()

This indicates that the function does not return a value. For a value-returning function, specify the return type in the function signature. For example:

c++

dataType functionName()

Replace dataType with the desired data type to be returned by the function.

2. Implementation and Documentation: In the implementation of a void function, write the necessary code to perform the desired actions. This can include any sequence of statements or function calls.

For a value-returning function, include a return statement to specify the value to be returned. For example:

c++

dataType functionName()

{

   // Code to perform calculations or operations

   return result; // Replace "result" with the actual value to be returned}

In both cases, it is crucial to provide proper documentation for the function. This includes choosing a meaningful name for the function, describing the purpose or functionality of the function, specifying any input parameters and their types, and indicating the return value (if applicable). This documentation helps other developers understand and use the function correctly.

By following these steps, you can effectively set up, implement, and document void and value-returning functions in your code.

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Answer:

2. 8³ - 14 × 6² - 2

4. |-6|

5. 7² - 3.1 - 19 × 2.1

Step-by-step explanation:

To find the expressions, find the solution of the given equation, then solve for each answer choice to see if the soultions match. If they do, then the expressions are equivalent.

2² - 3³ + 29

4 - 27 + 29 = 6

6 is the value were looking for.

1. (78 ÷ 3) - \(2^{4}\)

(78 ÷ 3) - 16

26 - 16

= 10

not equal

2. 8³ - 14 × 6² - 2

512 - 14 × 36 - 2

512 - 504 - 2

= 6

equal

3. -|-6|

= -6

not equal

4. |-6|

= 6

equal

5. 7² - 3.1 - 19 · 2.1

49 - 3.1 - 19 · 2.1

49 - 3.1 - 39.9

45.9 - 39.9

= 6

equal

Hence, choices 2, 4, and 5 have a value of 2² - 3³ + 29.

hope this helps!

Answer:

215=x

Step-by-step explanation:

Answer

x=215

Step-by-step explanation:

Answer:

Its letter B! y=2x+8

Step-by-step explanation:

a) To obtain the potential pressure drop in the wellbore, we can use the hydrostatic pressure equation.

The potential pressure drop is equal to the pressure gradient multiplied by the length of the wellbore. The pressure gradient can be calculated using the equation: Pressure gradient = (density of oil × acceleration due to gravity) × sin(θ), where θ is the deviation angle of the wellbore from horizontal flow. In this case, the pressure gradient would be (48 lbm/ft^3 × 32.2 ft/s^2) × sin(15°). Multiplying the pressure gradient by the wellbore length of 6,000 ft gives the potential pressure drop.

b) To determine the frictional pressure drop in the wellbore, we can use the Darcy-Weisbach equation. The Darcy-Weisbach equation states that the pressure drop is equal to the friction factor multiplied by the pipe length, density, squared velocity, and divided by the pipe diameter. However, to calculate the friction factor, we need the Reynolds number. The Reynolds number can be calculated as (density × velocity × diameter) divided by the oil viscosity. Once the Reynolds number is known, the friction factor can be determined. Finally, using the friction factor, we can calculate the frictional pressure drop.

c) To calculate the in-situ oil velocity, we need to consider the total volume of the pipe, including both oil and gas. The total pipe volume is calculated as the pipe cross-sectional area multiplied by the wellbore length. Subtracting the gas volume from the total volume gives the oil volume. Dividing the oil volume by the total time taken by the oil to flow through the pipe (converted to seconds) gives the average oil velocity.

d) The flow regime of the two-phase flow can be determined based on the oil and gas mixture properties and flow conditions. Common flow regimes include bubble flow, slug flow, annular flow, and mist flow. These regimes are characterized by different distribution and interaction of the oil and gas phases. To determine the specific flow regime, various parameters such as gas and liquid velocities, mixture density, viscosity, and surface tension need to be considered. Additional information would be required to accurately determine the flow regime in this scenario.

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Lakeside Olds should expect to have approximately 3 automobiles lined up at opening time on a typical day based on the probability distribution provided.

To find the expected number of automobiles lined up at the Lakeside Olds dealer at opening time, we use the concept of expected value. The expected value is the average value we would expect to see if we repeated the experiment many times. In this case, the experiment is the number of automobiles lined up at the dealer at opening time.

We are given the probability distribution for the number of automobiles, which tells us the probability of each possible outcome. We use these probabilities to calculate the expected value as the weighted average of all possible outcomes.

Expected number of automobiles = (1 x 0.05) + (2 x 0.30) + (3 x 0.40) + (4 x 0.25)

= 0.05 + 0.60 + 1.20 + 1.00

= 2.8

≈ 3

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The given question is incomplete, the complete question is:

The probability distribution for the number of automobiles lined up at a Lakeside Olds dealer at opening time (7:30 a.m.) for service is:

how many automobiles should Lakeside Olds expect to be lined up at opening time?

The total number of roots for the given polynomial is for f(x) = 3x⁶ + 2x⁵ + x⁴ - 2x³ is 6.

What is the polynomial function?

A polynomial function is a function that may be written as a polynomial. A polynomial equation definition can be used to obtain the definition. P(x) is the general notation for a polynomial. The degree of a variable of P(x) is its maximum power. The degree of a polynomial function is particularly important because it tells us how the function P(x) behaves as x becomes very large. A polynomial function's domain is full real numbers (R).

Here, we have

Given:  polynomial function: f (x) = 3x⁶ + 2x⁵ + x⁴ - 2x³

We have to find the number of roots of a polynomial function.

For finding the number of roots, we just need to see what is the degree fro the given polynomial, where the degree of the polynomial is nothing but the highest exponent.

For the function f (x) = 3x⁶ + 2x⁵ + x⁴ - 2x³, here the degree is 6, and the respective function is having 6 numbers of roots, which be real roots and complex roots too.

Hence, the total number of roots for the given polynomial is for f(x) = 3x⁶ + 2x⁵ + x⁴ - 2x³ is 6.

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Answer:

Step-by-step explanation:

Dont do it. Just take the detention

Answer:

zxc

Step-by-step explanation:

xzcsdcasc

Answer:

x=3

Step-by-step explanation:

−4x+1+9x=−9x+16+9x

5x+1=16

Step 2: Subtract 1 from both sides.

5x+1−1=16−1

5x=15

Step 3: Divide both sides by 5.

5x/5 =15/5

x=3

Answer:

Step-by-step explanation:

Given:

As we see two of the slopes are same, indicating a pair of parallel sides.

The other two slopes are different, so there is only one pair of parallel sides.

This is a definition of a trapezoid.

Correct choice is B

Answer: 11,444,091,796,874

Step-by-step explanation: 10 x 2 = 20 + 5 = 25 to the power of nine = 3,814,697,265,625 divided by 2 = 1,907,348,632,812 - 953,674,316,406 = 476,837,158,203 x 3 = 1,430,511,474,609 x 4 = 5,722,045,898,437 so 3 x 2 = 6 - 1 = 5 x 5,722,045,898,437 = 11,444,091,796,874 I hope this helps

The numbers are:

1. 5

2. 10

3. -2

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

1. Ten times a number added to five is nine times the number.

let the number be x

Then, 10x + 5 = 9x

10x -9 x= 5

x= 5

2. Twice the difference of a number and three is the sum of that number and four.

let the number be w

Then, 2(w- 3) = w+ 4

2w - 6= w+ 4

w= 10

3. Three times a number is two times the difference of that number and one

let the number be y

Then, 3y = 2( y - 1)

3y= 2y- 2

y= -2

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Answer:

  h(x) = (x -1)(x -(3 +√2))(x -(3 -√2))

Step-by-step explanation:

The given cubic is said to have 1 as a zero. That means (x -1) is a linear factor of the equation. Dividing the cubic by that using your favorite method gives a quotient that is the quadratic ...

  x^2 -6x +7

We can write this in vertex form by "completing the square":

  (x^2 -6x) +7

  = (x^2 -6x +9) +7 -9 . . . . . add and subtract (-6/2)^2 = 9

  = (x -3)^2 -2

This can be factored as the difference of two squares:

  a² -b² = (a -b)(a +b)

Here we have ...

  a² = (x-3)²   ⇒   a = (x -3)

  b² = 2   ⇒   b = √2

Then the linear factors of the quadratic are ...

  x^2 -6x +7 = ((x -3) -√)((x -3) +√2)

  = (x -(3 +√2))(x -(3 -√2)) . . . . . using the associative property of addition

And the cubic can be factored to linear factors as ...

  h(x) = x^3 -7x^2 +13x -7

  h(x) = (x -1)(x^2 -6x +7)

  h(x) = (x -1)(x -(3 +√2))(x -(3 -√2))

The angle of the elevation comes to be 41.94 degrees.

The angle of elevation is the angle that is to be formed between the horizontal line and the given line of sight. If the line of sight is upward from the given horizontal line, then the angle formed is an angle of the elevation.

The most crucial area of mathematics is trigonometry. Combining the Greek "Trigonon" and "Metron," which respectively mean "triangle" and "measure," creates the word "trigonometry." It is the examination of the relationship between a right-angled triangle's sides and angles. By employing formulas and identities based on this relationship, it is thus possible to determine the measure of a right-angled triangle's unknown dimensions.

As in the case of right angled Triangle

From Trigonometry,

tan (α) =  \(\frac{124}{138}\)

α = arctan(  \(\frac{124}{138}\) )

α = 41.94 degrees

and in radians = 0.732

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Answer:

130

Step-by-step explanation:

an triangle= 180 degrees so 180-35-90=50 so p is 50 then 180 -50=130

Answer:

Its 130 mate i did this question before at my old school

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Answer:

Infinitely Many Solutions

Step-by-step explanation:

We can start by simplifying both sides of the equation:

2(12-w) = -2(w-17)-10

Expanding the brackets:

24 - 2w = -2w + 34 - 10

Simplifying:

24 - 2w = -2w + 24

At this point, we can see that both sides of the equation are equivalent, so we can conclude that the equation is an identity and has infinitely many solutions. Any value of w will satisfy the equation.

Answer:

95999.99924

Step-by-step explanation:

9.6 × 10^4 = 9.6 × 10,000 = 96000

7.6 × 10^-4 = 7.6 × 0.0001 = 0.00076

96000 - 0.00076 = 95999.99924

Answer:

the answer is to this question is f(x)=46

There were 8-1 = 7 more students who slept for 4-7 hours than for 12-15 hours.

In a survey conducted by Mr. Hamilton, he asked his class about the total number of hours they slept the previous night. The histogram provided in the question shows the distribution of their responses. To find out how many more students slept for 4-7 hours than 12-15 hours, we need to count the number of bars in the 4-7 hours range and subtract it from the number of bars in the 12-15 hours range. By counting the bars in the histogram, we can see that there are 9 bars in the 4-7 hours range and 4 bars in the 12-15 hours range. Therefore, there were 5 more students who slept for 4-7 hours than 12-15 hours.

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Complete question:

Mr. Hamilton surveyed his class to find the total number of hours each of his students slept the previous night. The histogram shows the results of the survey. How many more students slept 4 – 7 hours than 12 – 15 hours? Amount of Sleep Mr: Hamilton surveyed his class to find the total number of hours each of his students slept the previous night The histogram shows the results of the survey: How many more students slept 4 ~ 7 hours than 12 15 hours? L 0 -3 8 _ [1 12 - 15 submit Time (hours)'

Answer:

32.

Step-by-step explanation:

This is an arithmetic sequence with first term a1 = -6 and common difference 2.

an = a1 + d(n - 1)

a20 = -6 + 2(20-1) = 32

The ordered pair of C'' after the sequence of transformation is (-14, -5)

Here we have know that  ABC can be plotted at A (-14, 14), B (-8, 11) & C (-14, 5).

Here we all know that the y-axis reflection rule is written as,

=> (x, y) → (-x, y)

And the value of x coordinate flips in sign from positive to negative, or vice versa. Then the value of y coordinate stays the same.

Then the point is look like C(-14,5) will then reflect based on the following rule,

=> (x, y) → (x, y)

The transformed coordinates are look like,

=> (-14,5) ((-14),5)

=> (-14,5)→ (14,5)

Therefore, here we have point C' located at (14,5) after applying the y-axis reflection rule on point C.

Now, the next operation to do is is the 180 degree rotation.

And this can be clockwise or counterclockwise.

Then the rotation rule is written as

=> (x, y) → (-x,y)

Now, for this time both coordinates flip in sign.

Here we have know that this rule only works if the center of rotation is the origin.

Now, let us apply that rotation rule to C' to find where C" is located.

Then the rule can be written as,  (x, y) → (-x,y)

=> (14,5)→ (-14, -5)

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The limit of the given function is  π/2.

What is a limit?

A limit in mathematics is the value that a function gets closer to when the input gets closer to a certain value. Calculus and mathematical analysis are not possible without limits, which are also required to determine continuity, derivatives, and integrals.

Here, we have

Given: \(\lim_{(x,y) \to \pi, \pi /2} y sin(x-y)\)

We have to find the limit of the given function.

=  \(\lim_{(x,y) \to \pi, \pi /2} y sin(x-y)\)

Now, we substitute the value of each variable.

x = π and y = π/2

= y sin(x-y)

= π/2sin(π-π/2)

= π/2sinπ/2

= π/2sin(90°)   (∴sin90° = 1)

= π/2×1

= π/2

Hence, the limit of the given function is  π/2.

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An increase in the exchange rate of the U.S. dollar relative to a trading partner can result from higher interest rates and higher inflation in the U.S. The correct answer is option (e).

This is because higher interest rates attract foreign investors to the U.S., increasing demand for the U.S. dollar and causing its value to rise relative to other currencies.

Higher inflation in the U.S. also makes the dollar less attractive to foreign investors, causing its value to decline.

The other options listed may affect trade and economic activity, but do not directly impact the exchange rate.

Therefore, the correct option is (e) higher interest rates and higher inflation in the U.S.

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Answer:

Step-by-step explanation:

The distance formula for a number line is very simple:

\(l=|b-a|\)  The absolute value signs make unimportant which value you choose for a and which one you choose for b. Let's let A = -8 and B = 8 as posted on the number line. The distance between them, using the formula, is

\(l=|8-(-8)|\\l=|16|\\l=16\)

To find the number of triangles with vertices of three different colors, we need to consider the combinations of colors we can choose from the given set of points.

We have 8 red points, 4 green points, and 6 blue points. To form a triangle with vertices of three different colors, we need to choose one point from each color group.

First, let's choose one red point. We have 8 options for this.

Next, let's choose one green point. We have 4 options for this.

Finally, let's choose one blue point. We have 6 options for this.

To determine the total number of triangles, we need to multiply the number of options for each color:

Total number of triangles = Number of options for red points × Number of options for green points × Number of options for blue points

                      = 8 × 4 × 6

                      = 192

Therefore, there are 192 triangles with vertices of three different colors.

It's worth noting that the order in which we choose the points does not matter because we are counting the number of distinct triangles. So, we are not considering permutations but rather combinations of colors.

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