Prediction of the value of the dependent variable outside the experimental region is called _____. a. extrapolation b. averaging c. interpolation d. forecasting

Step-by-step explanation:

4) lower, greater

5) The precision of the instrument would be 0.1 cm

Answer:

g(x)=6x^(3)-5x^(2)-17x+6

Step-by-step explanation:

Answer:

Solution given:

(x1,y1)=(-2,3)

(x2,y2)=(1,9)

we have

equation of line

(y-y1)=\( \frac{y2-y1}{x2-x1} \)(x-x1)

(y-3)=\( \frac{9-3}{1+2} \)(x+2)

y-3=2x+4

2x-y+4+3=0

2x-y+7=0;is a required equation.

The area of the expression  2 1/2 x 1/3 Using an area model is 5/6.

The area model is a method of calculating area by parts.

Given that, we are asked to find the area of the expression 2 1/2 x 1/3 Using an area model,

Area =

\(= (2\frac{1}{2}) . (\frac{1}{3}) \\\\= 2.\frac{1}{3}+\frac{1}{2}.\frac{1}{3}\\\\= \frac{2}{3}+\frac{1}{6}\\\\= \frac{15}{18}\\\\= \frac{5}{6}\)

Hence, the area of the expression  2 1/2 x 1/3 Using an area model is 5/6.

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y = x/6 + 3 and y = x/2 + 3 are the equations that represents the situation.

Given,

Smaller number = x

Larger number = y

It is implied that six times a larger number is equal to the product of a smaller number and 18;

6y = x + 18

Divide both sides by 6

y = x/6 + 3

The fact that the greater number is twice as little as the smaller number, which equals 6;

2y = x + 6

Divide both sides by 2

y = x/2 + 3

Solve both equations;

2y = x + 6

x = 2y - 6

Apply the value of x in 6y = x + 18

6y = x + 18

6y = 2y - 6 + 18

6y - 2y = 12

4y = 12

y = 12/4

y = 3

Now,

x = 2y - 6

x = 2 × 3 - 6

x = 6 - 6

x = 0

Therefore,

The equations that represents the situation are;

y = x/6 + 3

y = x/2 + 3

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Answer:

(-8,0)

Explanation:

If we have an equation with the form:

y = ax² + bx + c

The x-coordinate of the vertex will be: -b/2a

So, in this case, for the equation:

y = x² + 16x + 64

Where a = 1, b = 16, and c = 64

We get that the x-coordinate of the vertex is:

Then, the y-coordinate can be calculated replacing x by -8 on the initial equation, so:

y = (-8)² + 16(-8) + 64

y = 64 - 128 +64

y = 0

Therefore, the vertex of the parabola is the point (-8, 0)

True: The graph of the function is a straight line.

The equation should be written in the form y = mx + b as y = -2x + 5.

A graph of the ordered pair is shown in the image attached below.

A function in which the graph of the solutions forms a straight line.

In Mathematics, a linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

Next, we would determine the value of y (y-value) based on the given x-values as follows. When x = 0, the y-value is given by:

y = -2(0) + 5

y = 5

When x = 1, the y-value is given by:

y = -2(1) + 5

y = 3

When x = 2, the y-value is given by:

y = -2(2) + 5

y = 1  

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To calculate the energy of the resulting explosion when a 10,000 kg UFO made of antimatter crashes with a 40,000 kg plane made of matter, we can use Einstein's famous equation, E=mc², which relates energy (E) to mass (m) and the speed of light (c).

In this case, we'll need to calculate the total mass of matter and antimatter involved in the collision and then use the equation to find the energy released. The equation E=mc² states that energy is equal to the mass multiplied by the square of the speed of light (c). In this scenario, we have a collision between a UFO made of antimatter and a plane made of matter. Antimatter and matter annihilate each other when they come into contact, resulting in a release of energy.

To calculate the energy of the resulting explosion, we need to determine the total mass involved in the collision. The total mass can be calculated by adding the masses of the UFO and the plane together. In this case, the UFO has a mass of 10,000 kg and the plane has a mass of 40,000 kg, so the total mass is 50,000 kg.

Next, we can use the equation E=mc² to calculate the energy. The speed of light (c) is a constant value, approximately 3 x 10^8 meters per second. Plugging in the values, we have E = (50,000 kg) x (3 x 10^8 m/s)². Simplifying the equation, we have E = 50,000 kg x 9 x 10^16 m²/s².Multiplying the numbers, we get E = 4.5 x 10^21 joules. Therefore, the energy of the resulting explosion when the UFO and plane collide is approximately 4.5 x 10^21 joules.

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Solution :

Given :

\($f(x)=x^3-x^2-18x+19$\)

By using the remainder theorem, if f(x) is divided by (x-k) and the remainder is 'r', then

\($f(x)=(x-k)q(x)+r$\)

Here, k = 4

Therefore, divide the f(x) with (x - 4) to find the q(x) and r.

           __________________

\($x-4$\)    |    \($x^3-x^2-18x+19$\)         |      \($x^2+3x-6$\)

            \($x^3-4x^2$\)

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

                    \($3x^2-18x$\)

                    \($3x^2-12x$\)

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

                          \($-6x+19$\)

                          \($-6x+24$\)

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

                                  \($-5$\)

Therefore,

q(x) =  \($x^2+3x-6$\)

  r = -5

\($f(x)=(x-4)(x^2+3x-6)-5$\)

\($f(4)=(4-4)(4^2+3 \times 4-6)-5$\)

       \($=-5$\)

Answer:

whfjajfigiiwitohoeirtiririri neji

Answer:

0.875

Step-by-step explanation:

Answer:

c=2πr=2·π·3=24

Step-by-step explanation:

Answer:

5/53

Step-by-step explanation:

Answer:

a 2/5

Step-by-step explanation:

have a good day /night may i please have a branlliest

Answer:

2/5

Step-by-step explanation:

-5y = -2z +9

5y = 2z -9

y = 2/5z -9/5

Answer:

Step-by-step explanation:

for 5 feet is $60

2 feet is $150.

sorry if this doesn't help!

The number of tree shades and evergreens will be 42 and 36, respectively.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

An engineer purchased 78 trees at an all-out cost of $4050. The overhanging trees cost $45 each and the evergreens cost $60 each.

Let 'x' be the number of tree shades and 'y' be the number of evergreens. Then the equations are given as,

x + y = 78                               ...1

45x + 60y = 4050                ...2

From equations 1 and 2, then we have

45(78 - y) + 60y = 4050

15y = 540

y = 36

Then the number of tree shades will be given as,

x + 36 = 78

x = 78 - 36

x = 42

The number of tree shades and evergreens will be 42 and 36, respectively.

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The probability of household views between 5 and 11 hours will be 0.7653. Number of hours needed in order to be in top 3% will be 13.03 hours. Probability of views more than 3 hours will be 0.9838.

a) The probability of television views between than 5 and 11 hours.

 P( 5≤X≤11) = P[ (5-μ)/σ ≤ (X-μ)/σ ≤ (11-μ)/σ]

                   = P [ (5-8.35)/2.5 ≤ z ≤ (11-8.35)/2.5)

                    = P ( -1.34 ≤ z ≤ 1.06)

                    = P ( z≤ 1.06) - P(z ≤ -1.34)

Substituting values from the z-table

   P ( 5≤X≤11) = 0.85543 - 0.09012 = 0.76531

Probability that household views between 5 and 11 hours is  0.7653.

b) Hours needed to be in top 3% of all households.

 P( X> h) = 0.03

 P[ (X-μ)/σ > (h-μ)/σ] = 0.03

P ( z >h-8.35/2.5) = 0.03

P ( z ≤ h-8.35/2.5) = 0.97

From the table

  (h - 8.35)/ 2.5 = 1.87

   h = (1.87× 2.5) + 8.35

      = 13.025 = 13.03 hours

So if the viewing time is more than 13.03, the household will be in the top 3%.

c) Probability of viewing more than 3 hours

 P(X> 3) = P[ (X-μ)/σ > (3-μ)/σ]

               = P( z < -2.14) = 0.9838

So probability the household will have views more than 3 hours will be 0.9838.

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Answer:

Step-by-step explanation:

we can replace 5 with \(\sqrt{5}^{2}\)

then.

\(\sqrt{5}^{n-1+2}=\sqrt{5}^{n+1}\)

Answer:

x=11

Step-by-step explanation:

51-x-5*19= -5x

51-5*19= -4x

4x=5*19-51

4x=95-51

4x=44

x=11

Step-by-step explanation:

let x year ago son age was 5 time his father age.

age of son before x year = 19-x

age of father before x year = 51-x

NOW

according to the question

5(19-x) =51-x

95-5x =51-x

95-51 = -X-5x

44 = 4x

x=11

so your ans is 11years ago

Would produce market a quantity of 2 and make a profit of $1.

The graph shows the market supply and demand curves for a perfectly competitive firm. If the market price is $3, the firm would be operating at the intersection of the demand curve (D) and the marginal cost curve (MC). At that price, the firm would produce a quantity of 2 and incur a total cost of $2 (the area of the rectangle formed by the marginal cost and quantity). Since the market price is higher than the marginal cost, the firm would make a profit of $1 (the area of the triangle formed by the market price and quantity).

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Answer:

15 - 3x

Step-by-step explanation:

3 X 5 = 15

3 X -x = -3x

answer is 15-3x

Answer:

3x - 15

Step-by-step explanation:

3(5 + -x) is equivalent to 3(5 - x)

3(5 + -x)

3(5) + 3(-x)

15 + -3x

15 - 3x

3x - 15

Hope this helps!

Answer:

Step-by-step explanation:

The slope is calculated using rise over run, or y2-x2/y1-x1

The clear coordinates are (-3, 2) and (1,4).

Let 4 be y2, 1 be x2, 2 be y1 and -3 be x1.

4-1/2--3 (2+3)

the slope is 3/5

y < -2x - 1

Or it could be some variation of this, like 2x + y < -1

Answer

\(168in^{2}\)

Step-by-step explanation:

SA=2(wl+hl+hw)

2·(6·2+9·2+9·6)

=168

Answer:

B. x−3y=6 5x−y=10

Step-by-step explanation:

I just took a test with the same problem on it.. I got it wrong but this is what the test said was right.

The system of equations is represented by lines m and n are x - 3y = 6 and 5x − y = 10 option (B) is correct.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

These tables of ordered pairs represent some points on the graphs of lines m and n.

Line m

x y

−3 −3

0 −2

6 0

The equation of the line:

y + 2 = (-2+3)/3[x]

y + 2 = x/3

3y + 6 = x

x - 3y = 6

Line n

x y

−3 −25

1 −5

6 20

The equation of the line n:

5x − y = 10

Thus, the system of equations is represented by lines m and n are x - 3y = 6 and 5x − y = 10 option (B) is correct.

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Answer:

14<14*1.5

Step-by-step explanation:

This is because 14*1.5 is 21. 21 is greater than 14. I hope this helped you out!!

Answer:

\(72\)

Step-by-step explanation:

\(f(x)=2x^2\)

replace x with -6

\(f(-6)=2(-6)^2\)

exponent

\(f(-6)=2(36)\)

multiply

\(f(-6)=72\)