for a relation to be a function what must never happen

One strategy that may help Emilio write more fluently is practicing speed writing or shorthand techniques.

Practicing speed writing or shorthand techniques can help Emilio increase his writing speed without sacrificing legibility. Speed writing involves using abbreviations, symbols, and shortcuts to represent words or phrases, allowing for faster transcription of thoughts onto paper.

Shorthand systems, such as Gregg shorthand or Pitman shorthand, provide structured methods for condensing words and phrases into simplified symbols.

By learning and practicing speed writing or shorthand techniques, Emilio can improve his writing efficiency and reduce the time it takes to write a few sentences. This strategy allows him to maintain neatness while increasing his writing speed, enabling him to express his thoughts more fluently.

With regular practice and familiarity, Emilio will become more comfortable with the shorthand system and experience a significant improvement in his writing speed and fluency.

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Answer:

C

Step-by-step explanation:

nvm i figured it out just do 7^2 + 8^2

There are 2 possible values for N.

To find the number of possible values for N, we must first find the common fraction representing people who value both color and smell. To do this, we need to find the LCM (Least Common Multiple) of the denominators 14 and 12. The LCM of 14 and 12 is 84.

Let x be the number of people who value both color and smell. Then, (9/14)N + (7/12)N - x = 753, which simplifies to (27/84)N + (14/84)N - x = 753. Combining the fractions gives (41/84)N - x = 753.

Now, we know that x is an integer, and (41/84)N must be an integer as well. Therefore, N must be a multiple of 84. Since 41 is a prime number, the only multiples of 84 that can satisfy this condition are 84 and 168, making 2 possible values for N.

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Answer:

population of 1st city =660,000

Step-by-step explanation:

Let the population of second city be x

given that

population of the first city is equal to 32% of the population of the second city

Therefore

population of 1st city = 32% of the population of the second city

                                   32% of x = (32/100)*x

total population of two cities = x + (32/100)*x = (100x+32x)/100 = 132x/100

Also, population of two cities = 660000

thus,

132x/100 =  660000

=> 132x =  660000*100 =  66000000

=> x = 66000000/132 = 2,062,500

Thus, population of 2nd city is 2,062,500

population of 1st city = (32/100)*x = 32/100 * 2,062,500 = 660,000

Therefore , the solution of the given problem of equation comes out to be $88.

A mathematical formula between the two statements is employed to denote equality when the equivalent letter (=) is utilized. The equivalence of numerous mathematical variables is demonstrated using algebraic equations, which are statements of fact. For instance, the expression data d + 6 = 12 separates the values document d + 6 or 12 with an equal sign. One can quantify the number of syllables that each sides of each symbol corresponds to. A symbol's meaning usually runs counter to itself.

Here,

First, it takes Phil 3 hours do carve a giant boomerang after carving a little one in just 2 hours. He has 24 hours must carve as many boomerangs as possible. Cath can embellish ten boomerangs. Assume that x represents the quantity of small tomahawks and y represents the quantity of giant boomerangs. In light of the facts provided, the following expression can be created.

Here,

2x + 3y = 24 hours in equation 1.

Eq. 2: x + y = 10 

Take y = 10 - x from equation 2 as equation 3.

Step 2: We obtain by substituting equation 3 for equation 1

2x + 3y equals 2x + 3(10 - x) = 24, 2x + 30 -3x equals 24, -1x equals -6, and therefore x = 6.

In equation 2, change x to 6 to make

Since x + y = 6 + y = 10, y = 4

Therefore, they ought to produce four huge and six mini boomerangs.

Step 3: Next, we determine how much money they will earn. Each little boomerang will bring in $8, while each big one will bring in $10. So

4 x 10 for each huge boomerang and 6 x 8 for each mini boomerang

=(6 × 8)+ (4 × 10) = 48 + 40 = $88.

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The difference between the fractions 10/12 and 3/8 will be 11 / 24.

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

In this case, the difference between 10/12 and 3/8 will be:

= 10 / 12 - 3 / 8

= 20 / 24 - 9 / 24

= 11 / 24

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Answer:

Step-by-step explanation:

make both improper fractions

21/5 - 4/3

cross multiply to get the same denominator of 15

63/15 - 20/15

subtract

43/15

simplify

2 13/15

hope this helps <3

Answer:

7/5

1.4 D

1 1/5

Answer:

A = 43.01

Step-by-step explanation:

To find the area of a circle use this formula

"r" representing the radius

Plug in . .

Round

A = 43.01

Answer:

43.0 ft² (nearest tenth)

Step-by-step explanation:

\(\boxed{\begin{minipage}{3.9 cm}\underline{Area of a circle}\\\\$A=\pi r^2 $\\\\where $r$ is the radius.\\\end{minipage}}\)

Given:

Substitute the given radius into the formula for area:

\(\implies A= \pi (3.7)^2\)

\(\implies A = 13.69\pi\)

\(\implies A = 43.008403427644...\)

Therefore, the area of the circle is 43.0 ft² (nearest tenth).

Answer:

It D

Step-by-step explanation:

The maximum value of the objective function z is 19, and it occurs at the point (5, 1).Hence, the optimal solution is (5, 1), and the optimal value of the objective function is 19.

1. Graphically determine the optimal solution, if it exists, and the optimal value of the objective function of the following linear programming problems.
maximize z = x₁ + 2x₂ subject to 2x1 +4x2 ≤6, x₁ + x₂ ≤ 3, x₁20, and x2 ≥ 0.

To solve the given linear programming problem, the constraints are plotted on the graph, and the feasible region is identified as shown below:

Now, To find the optimal solution and the optimal value of the objective function, evaluate the objective function at each corner of the feasible region:(0, 3/4), (0, 0), and (3, 0).

        z = x₁ + 2x₂ = (0) + 2(3/4)

                    = 1.5z = x₁ + 2x₂ = (0) + 2(0) = 0

                        z = x₁ + 2x₂ = (3) + 2(0) = 3

The maximum value of the objective function z is 3, and it occurs at the point (3, 0).

Hence, the optimal solution is (3, 0), and the optimal value of the objective function is 3.2.

maximize subject to z= X₁ + X₂ x₁-x2 ≤ 3, 2.x₁ -2.x₂ ≥-5, x₁ ≥0, and x₂ ≥ 0.

To solve the given linear programming problem, the constraints are plotted on the graph, and the feasible region is identified as shown below:

To find the optimal solution and the optimal value of the objective function,

        evaluate the objective function at each corner of the feasible region:

                                (0, 0), (3, 0), and (2, 5).

                          z = x₁ + x₂ = (0) + 0 = 0

                          z = x₁ + x₂ = (3) + 0 = 3

                           z = x₁ + x₂ = (2) + 5 = 7

The maximum value of the objective function z is 7, and it occurs at the point (2, 5).

Hence, the optimal solution is (2, 5), and the optimal value of the objective function is 7.3.

maximize z = 3x₁ +4x₂ subject to x-2x2 ≤2, x₁20, and X2 ≥0.

To solve the given linear programming problem, the constraints are plotted on the graph, and the feasible region is identified as shown below:

To find the optimal solution and the optimal value of the objective function, evaluate the objective function at each corner of the feasible region:(0, 1), (2, 0), and (5, 1).

                         z = 3x₁ + 4x₂ = 3(0) + 4(1) = 4

                      z = 3x₁ + 4x₂ = 3(2) + 4(0) = 6

                      z = 3x₁ + 4x₂ = 3(5) + 4(1) = 19

The maximum value of the objective function z is 19, and it occurs at the point (5, 1).Hence, the optimal solution is (5, 1), and the optimal value of the objective function is 19.

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Answer:

according to me

Step-by-step explanation:

yes u r correct

;]

Answer:

3/8

Step-by-step explanation:

He purchased 3/4 yard of fabric, then used 3/8 of it. You would need to subtract the 3/8 from 3/4 because the fabric is being used up.

To solve for x, we need to combine the like terms on the left-hand side of the equation and then isolate x on one side of the equation.

4a + 4a + 5a + x = 360

Combining like terms:

13a + x = 360

To isolate x, we need to subtract 13a from both sides of the equation:

x = 360 - 13a

Therefore, x is equal to 360 minus 13 times a.

The whole race is 12 3/4 kilometers.

The correct equations that represent this question are:

(8 1/2) ÷ 2/3 = ?

2/3 × ? = 8 1/2

(8 1/2) × 3/2 = ?

In this question we have been given Diego has run 2/3 of a race""s distance. He has run 8 1/2 kilometers.

We need to find the  length of the whole race.

Let the whole race be x.

Since Diego has run 2/3 of a race's distance which is 8 1/2 kilometers. The length of the whole race will be given by an equation:

2/3 × x = 8 1/2

x = (8 1/2) ÷ 2/3

x = (8 1/2) × 3/2

x = 17/2 × 3/2

x = 51/4

x = 12 3/4 kilometers.

Therefore, the length of the whole race= 12 3/4 kilometers.

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The choices for given question are given below.

Answer:

Step-by-step explanation:

dddfykb

The new area of the parallelogram is 207 cm², the area of a parallelogram is calculated by multiplying the base by the height. In this problem, the base is 18 cm and the height is 23 cm.

So, the original area of the parallelogram is 18 * 23 = 414 cm².If the base is decreased by 50%, the new base will be 18 / 2 = 9 cm. The new area of the parallelogram is then 9 * 23 = 207 cm².

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Answer:

c. 3

Step-by-step explanation:

what i did was divide all the numbers on DEF by the answers that you have

The equation that models the height, y, x seconds after firing is: y = -10(x)(x - 5).

Let's break down the equation and explain its components:

The equation is: y = -10(x)(x - 5)

-10: The coefficient -10 represents the effect of gravity on the projectile's height. It indicates that the height decreases at a rate of 10 units per second squared.

(x): The first term (x) represents the time (in seconds) since the projectile was fired.

It is squared, indicating that the height is influenced by the square of the time.

(x - 5): The term (x - 5) represents the time difference between the current time (x) and the time at which the projectile was fired (5 seconds ago).

It determines how long the projectile has been in the air since it was launched.

By multiplying these components together, we calculate the height (y) of the projectile at a given time (x) after firing.

The equation represents a quadratic function, as indicated by the squared term (x) and the presence of a variable with a coefficient of -10.

The resulting graph of this equation would depict the parabolic trajectory of the projectile's height over time.

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Answer:

\(4y {}^{2} - 2z {}^{4} + 11\)

Step-by-step explanation:

\(1. \: (4x - 4x) + (3y {}^{2} + y {}^{2} ) + ( - 7z {}^{4} + 5z {}^{4} ) + 11 \\ 2. \: 4y {}^{2} - 2z {}^{4} + 11\)

The equation of the line that passes through the points (8,-1) and (2,-5) is 2x - 3y = 19.

The given coordinate are (8, -1) and (2, -5).

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.

The slope of the equation is \(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}\).

The standard form of an equation is Ax + By = C.

The given the point-slope form is \(y+1=\frac{2}{3} (x-8)\).

Multiply each term by 3 of the equation.

\((y+1) \times3=\frac{2}{3} (x-8) \times3\)

⇒3y + 3 = 2x - 16

Subtract 2x from both sides of a equation.

That is, -2x + 3y + 3 = - 16

Subtract 3 from both sides of a equation.

That is, -2x + 3y = - 19

Multiply each term by - 1 from both sides of an equation.

That is, 2x - 3y = 19

Therefore, the equation of the line that passes through the points (8,-1) and (2,-5) is 2x - 3y = 19.

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Answer:

See below, please!

Step-by-step explanation:

Since this triangle is a right triangle, the two acute angles are always going to be complementary (adding up to 90 degrees). So we can set up an equation: 2x+3x+5=90. Solve this and we get x=17.

Hope this helped!

Answer: HHHHHMMM DEPENDING ON MY BRAIN IT IS 6

sorry if im wrong

Step-by-step explanation:

Answer:

Explain more what you need to someone to answer :3

The ratio of a : b : c in the linear equation is 2 : -1 : -1

From the question, we have the following equation that can be used in our computation:

ax + by + c = 0

The points on the line are given as

(2 ,3) and (8 , 15)

A linear equation is represented as

y = mx + c

Where

Slope = m

y-intercept = c

This means that

3 = 2m + c

15 = 8m + c

Subtract the equations

So, we have the following representation

6m = 12

Divide by 6

m = 2

Substitute m = 2 in 3 = 2m + c

3 = 2 * 2 + c

So, we have

c = -1

Substitute m = 2 and c = -1 in y = mx + c

y = 2x - 1

So, we have

2x - y - 1 = 0

Recall that

ax + by + c = 0

This means that

a : b : c = 2 : -1 : -1

Hence, the ratio is 2 : -1 : -1

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Step-by-step explanation:

AS=∅πr²/360

where ∅=52°, R=10

AS=52°×π×(10)²/360

AS=14.4π

that is the answer

do you have another question to ask me

The percentage off of the coupon is 25%

From the question, we have the following parameters that can be used in our computation:

Normal price = $24

Amount saved = $6

The above parameters mean that

Percentage of the coupon = Amount saved/Normal price

Substitute the known values in the above equation, so, we have the following representation

Percentage of the coupon = 6/24

Evaluate

Percentage of the coupon = 25%

Hence, the percentage is 25%

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The utility function u(x) = 0.25**(x/200) is consistent with Pablo's preferences.

To determine which utility function, represented by u(x), is consistent with Pablo's preferences, we need to compare the utility values for different prospects.

Pablo's certain equivalent for a deal with a 0.8 chance at $500 and a 0.2 chance at $100 is $300. We can calculate the expected value of this prospect:

Expected value = (0.8 * $500) + (0.2 * $100) = $400 + $20 = $420

Now let's evaluate the utility values for the given utility functions and compare them to $300 and $420.

a) u(x) = 10 - 10x^4 - x/200

If we substitute x = $420 into this utility function, we get:

u($420) = 10 - 10($420)^4 - $420/200 ≈ -1.06 x 10^18

b) u(x) = 1 - 0.25 - x/200

If we substitute x = $420 into this utility function, we get:

u($420) = 1 - 0.25 - $420/200 = 1 - 0.25 - 2.1 ≈ -1.35

c) u(x) = 5 - 2x^4 + x/300

If we substitute x = $420 into this utility function, e get:

u($420) = 5 - 2($420)^4 + $420/300 ≈ -1.59 x 10^16

d) u(x) = 0.25**(x/200)

If we substitute x = $420 into this utility function, we get:

u($420) = 0.25**(420/200) ≈ 0.063

Comparing the utility values to Pablo's certain equivalent ($300) and the expected value ($420), we find that option d) u(x) = 0.25**(x/200) is consistent with Pablo's preferences, as it yields a utility value (0.063) closer to the expected value than the others.

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Answer:

Step-by-step explanation:

Positive integers are of the form 2n

The first term is 2 and the 130th term is 2(130)=260

The sum of this arithmetic sequence is the average of first and last terms times the number of terms

(2+260)(130/2)

17030