describe how to determine if a function is a linear or non-linear from a table ​

Answer:

I have answered this question before it is A on the paper

Answer:

d -2+5

Step-by-step explanation:

Answer:

I think it would be -2 +5

Step-by-step explanation:

Since one of the lines is going from 0 to -2, one number would be negative 2. Then, since the other line is going from -2 to 3 that would be a total of 5 points. I believe the answer would be -2 + 5.

Sorry if it's wrong

Have a good day

Answer:

33/16

Step-by-step explanation:

Answer:

.0000000418

Step-by-step explanation:

So you will start from the decimal and move 8 places to the left.

E-8 is the same as 10^-8 so you will move to the left

If it was E8 you would move to the right 8 places.

Applying the tangent ratio, the distance across the suspension bridge is: 499.2 ft.

Where we are given a right triangle, the tangent ratio is determined using the formula, tan ∅ = opposite side/adjacent side.

The diagram atatched beow whos the distance across the suspension bridge which consists of 6 identical right triangles.

Find the adjacent side of each right triangle using the tangent ratio:

∅ = 32

Opposite side = 52 ft

Adjacent side = x

Plug in the values into the tangent ratio:

tan 32 = 52/x

x = 52/tan 32

x = 83.2 ft.

Distance across the suspension bridge = 6(83.2) = 499.2 ft.

Therefore, applying the tangent ratio, the distance across the suspension bridge is: 499.2 ft.

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21.

The angle has an opposite side of value 11 and an adjacent side of value x

We can then apply the formula tan 38° = opposite / adjacent

this gives us tan(38) = 11 / x

11/x = tan(38)

11 = x × tan(38)

x = 11 / tan(38)

x ≈ 14.1 (rounded to the nearest tenth)

And then we need to find the length of the hypotenuse, applying the theorem of Pythagoras. Let H be the hypotenuse, then :

H² = 14,1² + 11²

H² = 198,81 + 121

H = √(319,81)

H ≈ 17,9

Finally the area of the triangle will be (17,9 + 11) / 2 = 28,9 / 2 ≈ 14,45

You apply the same thing for 22 and 23

For 22 you use tan 55 = 15 / x

For 23 you use tan 23 = 7 / x

Good Luck !

Answer:

84.5

edit:

incorrect its 43.5 sorry

Step-by-step explanation:

The work required to stretch the spring from its natural length to a distance of 9 inches beyond its natural length is 2.25 lb-ft.

The problem involves calculating the work required to stretch a spring from its natural length to a distance of 9 inches beyond its natural length, given that a force of 192 lb is required to hold the spring stretched 3 ft beyond its natural length.

To solve the problem, we use the formula for the work done by a force that varies with distance, which is given by:

W = (1/2) k (x2^2 - x1^2)

where W is the work done, k is the spring constant, x1 is the initial distance, and x2 is the final distance.

In this case, the initial distance is the natural length of the spring, which is 0 ft, and the final distance is 9/12 ft. To find the spring constant, we use the fact that a force of 192 lb is required to hold the spring stretched 3 ft beyond its natural length, which gives us:

192 = k * 3

Solving for k, we get k = 64 lb/ft.

Substituting the values into the formula, we get:

W = (1/2) * 64 * (9/12)^2

Simplifying, we get:

W = 2.25 lb-ft

This calculation shows how the work done by a force that varies with distance can be calculated using the spring constant and the distances involved.

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The required length of side BC is 28 inches

A line parallel to one side of a triangle splits the other two sides of the triangle proportionally if the line also crosses the other two sides.

Given that,

In triangle BCD, AE || BD.

And side EC = 15 inches, DE = 6 inches, and side BA = 8 inches.

By triangle proportionality theorem,

AC / AB = EC / DE

Substitute the values here,

AC / 8 = 15 / 6

AC = 20

The length of side BC = 20 + 8 = 28.

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the equation to represent the number of hours, t, the bird will take to fly d kilometers at this rate is t = 2d / 71.2

We can use the formula for distance, rate, and time:

distance = rate x time

We can rearrange this formula to solve for time:

time = distance / rate

If we substitute the given distance of 71.2 km and rate of (71.2 km / 2 hours) into this formula, we can find the time it took the bird to fly 71.2 km:

time = 71.2 km / (71.2 km / 2 hours) = 2 hours

Now, we can use the same formula to find the time it will take the bird to fly d kilometers:

time = d km / (71.2 km / 2 hours) = 2d / 71.2 hours

Therefore, the equation to represent the number of hours, t, the bird will take to fly d kilometers at this rate is t = 2d / 71.2

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Answer: B?

Step-by-step explanation:

Since it already shows it in feet, you can multiply 18 by 16.

-288

And because it is $4.50 per square root, you can multiply 4.50 by 288 and you get 1,296.

(I don't really know tho..)

The polygon will have 9 sides.

The required polygon is a nonagon.

A polygon is named on the basis of the number of sides it has, as a polygon having 5 sides is a pentagon, a polygon having 6 sides is a hexagon, a polygon having 7 sides is a heptagon, and so on., and the addition of their interior angles is (n - 2) 180°.

To identify the polygon, we need to know the number of sides of the polygon. We know that the sum of internal angles of an n - sided polygon is

(n - 2) 180°.

For the given polygon, the internal angles added up to 1260 degree. Equate  (n - 2) 180° to 1260 degree and solve the resulting equation for n.

(n - 2) 180° = 1260°

n - 2 =  1260°/ 180°

n - 2 = 7

n = 7 + 2

n = 9

The given polygon will have 9 sides.

=> The required polygon is a nonagon.

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The negative trend pattern exists in the given data.

The Given information is as follows: Month 1 2 3 4 5 6 7

Value 23 15 20 12 18 22 15

To find: What type of pattern exists in the data

The pattern that exists in the given data can be determined by creating a graph between month and value. So, the graph will be as follows: Type of pattern: From the above graph, it is evident that there is a Negative trend pattern in the data. Answer: (d) Negative trend pattern.

Conclusion: Thus, the negative trend pattern exists in the given data.

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Answer:

1n plus 2d

ayyyyyyyyyyyy

In the analysis of variance procedure (ANOVA), "factor" refers to the independent variable, which is manipulated in order to observe its effect on the dependent variable.

In the analysis of variance procedure (ANOVA), factor refers to:
b. the independent variable

In ANOVA, a factor is an independent variable that is manipulated or controlled to investigate its effect on the dependent variable. Different levels of a factor represent the variations in the independent variable being tested. The different levels of a treatment are often created by manipulating the factor.
In contrast, independent variables are not considered dependent on other variables in various experiments. [a] In this sense, some of the independent variables are time, area, density, size, flows, and some results before the affinity analysis (such as population size) to predict future outcomes (dependent variables).

In both cases it is always a variable whose variable is examined through a different input, statistically also called a regressor. Any variable in an experiment that can be assigned a value without assigning a value to another variable is called an independent variable.

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Answer:

4y+2 = 11  

Step 1: Subtract 2 from both sides.

4y+2−2=11−2

4y=9

Step 2: Divide both sides by 4.

4y / 4  =  9 /4

y=  9 /4

Answer:

55 Answer....,.............

Answer:

18.75=p

s=14.06

b=2.34

Step-by-step explanation:

37.75=b+s+p

-4

33.75=b+s+p

s=3/4p

b=1/6s

33.75=1/6(3/4p)+3/4p+p

33.75=3/20p+3/4p+p

(33.75=18/20p+p)20

675=18p+p)/18

37.50=2p)/2

18.75=p

s=3/4p

3/4(18.75)

s=14.06

b=1/6s

1/6(14.06)

b=2.34

37.75-4=18.75+14.06+2.34=35.15

im missing 50 cents somewhere its wrong but close i think sorry

The cost of a brush, a sketchbook and a paint set given the total amount with Tina is $2.25, $13.5 and $18 respectively.

Total = $37.75

Amount left = $4.00

let

37.75 = p + b + s + 4

37.75 - 4 = p + 1/6s + 3/4p

33.75 = 1/6s + 1 3/4p

33.75 = 1/6(3/4p) + 1 3/4p

33.75 = 3/24p + 7/4p

33.75 = 3+42 / 24p

33.75 = 45/24p

p = 33.75 ÷ 45/24

= 33.75 × 24/45

= 810/45

p = $18

substitute into

s = 3/4p

= 3/4 × 18

= 54/4

s = $13.5

b = 1/6s

b = 1/6 × 13.5

b = 13.5/6

b = $2.25

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Answer:

OOOPS-

Step-by-step explanation:

i feel kinda bad stealing your points l-mao

Answer:

A theorem is a statement that can be demonstrated to be true by accepted mathematical operations and arguments. In general, a theorem is an embodiment of some general principle that makes it part of a larger theory. The process of showing a theorem to be correct is called a proof.

Step-by-step explanation:

:)

Answer:

A theorem is a statement that can be demonstrated to be true by accepted mathematical operations and arguments. In general, a theorem is an embodiment of some general principle that makes it part of a larger theory. The process of showing a theorem to be correct is called a proof.

The integral solution is: ∫\((1/(7\sqrt{(16 - x^2)))} dx = (1/112) arcsin(x/4) + C.\)

To evaluate the integral ∫\((1/(7\sqrt{(16 - x^2)))} dx\) using the substitution x = 4 sin(θ), we can start by finding dx/dθ:

dx/dθ = 4 cos(θ)

∫\((1/(7\sqrt{(16 - x^2)))} dx\)= ∫\((1/(7\sqrt{(16 - 16sin^2}\)(θ)))) (\(4cos\)(θ)) dθ

Simplifying the denominator, we get:

∫\((1/(7\)\(\sqrt{(16 - 16sin^2}\)(θ)))) \((4cos\)(θ)) dθ = ∫\((1/(28cos\)(θ))) dθ

Now we can use the trigonometric identity cos^2(θ) = 1 - sin^2(θ) to rewrite the denominator:

∫\((1/(28cos\)(θ))) dθ = ∫\((1/(28\)√\((1 - sin^2\)(θ)))) dθ

dx = 4 cos(θ) dθ

∫\((1/(28√(1 - sin^2\)(θ)))) dθ = ∫\((1/(28√(1 - (x/4)^2))) (1/4) dx\)

This is the form of the integral that we can evaluate using the substitution \(u = x/4\) and the formula for the integral of \(1/\) √\((1 - u^2)\), which is arcsin(u) + C.

Substituting \(u = x/4\) and simplifying, we get:

\((1/112)∫(1/√(1 - (x/4)^2)) dx = (1/112) arcsin(x/4) + C\)

Therefore, the solution is:

\(∫(1/(7√(16 - x^2))) dx = (1/112) arcsin(x/4) + C\)

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To find the area of ΔABC, we can use the formula for the area of a triangle:

Area = (1/2) * base * height

In this case, we have the length of side a (9.71) and side c (9.33), and we know the measure of angle A (52°). To find the height, we can use the sine function.

First, find the length of side b using the Law of Cosines:
b^2 = a^2 + c^2 - 2 * a * c * cos(A)
b^2 = 9.71^2 + 9.33^2 - 2 * 9.71 * 9.33 * cos(52°)
b^2 ≈ 94.244

Now, find the height (h) using the sine function:
sin(A) = h / b
h = b * sin(A)
h ≈ 6.966

Finally, calculate the area of the triangle:
Area = (1/2) * a * h
Area = (1/2) * 9.71 * 6.966
Area ≈ 33.786

Rounding to the nearest tenth, the area of ΔABC is approximately 33.8 square units.

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Answer:

i pretty sure the missing number is 4

Step-by-step explanation:

To evaluate the line integral ∮C xy² dx + z³ dy over the given rectangle C, we need to parameterize the boundary of the rectangle and then integrate the given expression along that parameterization.

Let's start by parameterizing the rectangle C. We can divide the boundary of the rectangle into four line segments: AB, BC, CD, and DA.

Segment AB: The parameterization can be given by r(t) = (t, 0) for t ∈ [0, 2].

Segment BC: The parameterization can be given by r(t) = (2, t) for t ∈ [0, 3].

Segment CD: The parameterization can be given by r(t) = (2 - t, 3) for t ∈ [0, 2].

Segment DA: The parameterization can be given by r(t) = (0, 3 - t) for t ∈ [0, 3].

Now, we can evaluate the line integral by integrating the given expression along each segment and summing them up:

∮C xy² dx + z³ dy = ∫AB xy² dx + ∫BC xy² dx + ∫CD xy² dx + ∫DA xy² dx + ∫AB z³ dy + ∫BC z³ dy + ∫CD z³ dy + ∫DA z³ dy

Let's calculate each integral separately:

∫AB xy² dx:

∫₀² (t)(0)² dt = 0

∫BC xy² dx:

∫₀³ (2)(t)² dt = 2∫₀³ t² dt = 2[t³/3]₀³ = 2(27/3) = 18

∫CD xy² dx:

∫₀² (2 - t)(3)² dt = 9∫₀² (2 - t)² dt = 9∫₀² (4 - 4t + t²) dt = 9[4t - 2t² + (t³/3)]₀² = 9[(8 - 8 + 8/3) - (0 - 0 + 0/3)] = 72/3 = 24

∫DA xy² dx:

∫₀³ (0)(3 - t)² dt = 0

∫AB z³ dy:

∫₀² (t)(3)³ dt = 27∫₀² t dt = 27[t²/2]₀² = 27(4/2) = 54

∫BC z³ dy:

∫₀³ (2)(3 - t)³ dt = 54∫₀³ (3 - t)³ dt = 54∫₀³ (27 - 27t + 9t² - t³) dt = 54[27t - (27t²/2) + (9t³/3) - (t⁴/4)]₀³ = 54[(81 - 81/2 + 27/3 - 3⁴/4) - (0 - 0 + 0 - 0)] = 54(81/2 - 81/2 + 27/3 - 3⁴/4) = 54(0 + 9 - 81/4) = 54(-72/4) = -972

∫CD z³ dy:

∫₀² (2 - t)(3)³ dt = 27∫₀² (2 - t)(27) dt = 27[54t - (27t²/2)]₀

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The actual length of the dust termite observed under the microscope is 1.5 mm

The actual length of the termite will be :

Measured size under microscope ÷ 100

150 mm ÷ 100

1.5 mm

Therefore, the actual length of the dust termite is about 1.5 mm

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The values of x are given as follows:

3) x = 6.

4) x = 9.

Similar polygons are polygons that share these two features presented as follows:

For item 3, we have that the relationship is given as follows:

x/1.5 = 8/2

x/1.5 = 4.

x = 4(1.5)

x = 6.

For item 4, we have that the relationship is given as follows:

6/10 = x/15

0.6 = x/15

x = 15 x 0.6

x = 9.

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The relative frequency of an 8th grader that has a cell phone but no tablet is given as follows:

0.21.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is then calculated as the division of the number of desired outcomes by the number of total outcomes.

The relative frequency of an event is equals to the probability of the event.

Out of 100 8th graders, 21 have a cellphone but no tablet, hence the relative frequency is given as follows:

21/100 = 0.21.

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Answer:

3,696

Step-by-step explanation:

7x24x22 equals 3,696

24x7=168

168x22=3,696

The two-decimal-place approximation of the solution to the equation is x ≈ 3.67.

To find the solutions to the equation 3x + 3 = 25 - 3x, we can start by simplifying the equation:

3x + 3x = 25 - 3

6x = 22

x = 22/6

Using a calculator or performing the division, we can find the decimal approximation of x:

x ≈ 3.67

Therefore, the two-decimal-place approximation of the solution to the equation is x ≈ 3.67.

we want to isolate the variable x on one side of the equation. We can do this by combining like terms and performing algebraic operations to simplify the equation.

By adding 3x to both sides of the equation, we eliminate the variable on the right side, and by subtracting 3 from both sides, we isolate the variable on the left side. This leads us to the equation 6x = 22.

To find the value of x, we divide both sides of the equation by 6, which gives us x = 22/6. This is the exact solution of the equation.

However, since the question asks for two-decimal-place approximation, we can use a calculator or perform the division to find x ≈ 3.67.

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