True or false: the following graph demonstrates a proportional relationship between y and x. Explain.

Answer:

4

Step-by-step explanation:

The scale factor during a dilation is proportion from one of the image's defining lengths (such as its radius) to the preimage's corresponding length.

In this problem, we can find the proportion between the spheres' radii:

(radius of image) / (radius of preimage)

4 / 1 = 4

Answer:

3x² + 2x

Step-by-step explanation:

x(3x + 2) ← multiply each term in the parenthesis by x

= 3x² + 2x

Answer: 3x^3 + 2x

Step-by-step explanation:

when multiplying 3x and another x, it combines and adds up to making 3x^2. You add coefficients. Thus 2 being the coefficient. And same matter for x times 2, they go together as 2x.

3x + x = 3x^2

x + 2 = 2x

We have shown that f(x) = sin x is (a) strictly increasing in (0, 2π ​) (b) strictly decreasing in (2π, π) (c) neither increasing nor decreasing in (0,π).

The function f(x) = sin x is given, and we need to show that it is (a) strictly increasing in (0, 2 π ​) (b) strictly decreasing in ( 2 π ​ ,π) (c) neither increasing nor decreasing in (0,π).

Now let's find the derivative of f(x) = sin x, which is: f′(x) = cos x

Now, we know that f(x) = sin x is increasing if its derivative is positive.

Similarly, f(x) = sin x is decreasing if its derivative is negative and constant if its derivative is zero.

Let's use this to solve the given problem.

(a) To show that f(x) = sin x is strictly increasing in (0, 2π ​ ), we need to show that f′(x) > 0 for x ∈ (0, 2π ​ ).

We know that the cosine function is positive in (0, π/2) and negative in (π/2, π) and so on.

Therefore, cos x > 0 in (0, π/2) and (3π/2, 2π)

Hence, f′(x) > 0 in (0, π/2) and (3π/2, 2π).

(b) To show that f(x) = sin x is strictly decreasing in (2π, π), we need to show that f′(x) < 0 for x ∈ (π, 2π).

We know that the cosine function is negative in (π, 3π/2) and positive in (3π/2, 2π).

Therefore, cos x < 0 in (π, 3π/2) and (2π, 5π/2).

Hence, f′(x) < 0 in (π, 3π/2) and (2π, 5π/2).

(c) Finally, we need to show that f(x) = sin x is neither increasing nor decreasing in (0,π).

This is because f′(x) = cos x changes sign at x = π/2.

Hence, f(x) = sin x is neither increasing nor decreasing in (0,π).

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By algebra properties, the value of variable c for linear equation 3 · (x - 1) = 2 · x + c such that x = 3 is equal to 0.

In this problem we need to find the value of a variable c such that the following system of linear equations exists:

3 · (x - 1) = 2 · x + c

x = 3

First, substitute x in the first equation:

3 · (3 - 1) = 2 · 3 + c

Second, simplify and clear the resulting expression:

3 · 2 = 6 + c

6 = 6 + c

c + 6 = 6

c = 0

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Answer:

$22

Step-by-step explanation:

Answer:

C-$5.00 per ticket

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

$75.00 / 15 = $5

Each ticket costs $5

Answer:

i have the same question brainly peeps help out

Step-by-step explanation:

Answer:

For the first one, Noah's actions were accecptable. For the second one, Noah made a mistake.

Step-by-step explanation:

In the second equation, Noah failed to get x on one side of the equal sign. In his third step, he should have subtracted  2x from both sides instead of 10. Correct answer below:

2(5 + x ) - 1 = 3x + 9            original equation

10 + 2x -1 = 3x + 9               apply the distributive property

10 - 1 = x + 9                        subtract 2x from both sides

9 = x + 9                              subtract 1 from 10

0 = x                                   subtract 9 from both sides

As similarity theorem, the value of x that will make the triangles similar by SSS similarity theorem is 77.

Similarity theorem:

In math, similarity theorem refers the line segment splits two sides of a triangle into proportional segments if and only if the segment is parallel to the triangle's third side.

Given,

Here we need to find the t value of will make the triangles similar by the similarity theorem.

For example, we are told that the 2 triangles are similar by SSS theorem.

Here we know that, SSS means Side - Side -Side and it is a congruence theorem which states that the 3 corresponding sides of two triangles have same ratio, then we can say that the two triangles are congruent by SSS theorem

Therefore, in the triangles ,applying the SSS postulate gives;

=> x/35 = 44/20

Then by applying the multiplication property of equality, let us multiply both sides by 35 to get;

=> x = (44 * 35)/20

When we simplify this one then we get,

=> x = 77

Therefore, the value of x is 77.

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Answer:

\(a_n=4n-11\)

Step-by-step explanation:

The common difference is \(d=4\) with the first term being \(a_1=-7\), so we can generate an explicit formula for this arithmetic sequence:

\(a_n=a_1+(n-1)d\\a_n=-7+(n-1)(4)\\a_n=-7+4n-4\\a_n=4n-11\)

Answer:

The average monthly payment would be most affected by Mark's observation of one significantly lower payment. The reason is that the average is calculated by summing all the payments and dividing by the total number of payments, so any extreme values (such as the significantly lower payment) can have a substantial impact on the average value.

Step-by-step explanation:

Answer:

200000

Step-by-step explanation:

I believe that 200000x7000 = 1400000000 (The answer to the China population equation), therefore should be correct. Hope this helped.

Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)

Answer: Im pretty sure its B

Step-by-step explanation:

Answer:

in 220 miles both plans will cost the same

Step-by-step explanation:

38 + .12m = 49 + .07m

38 + .05m = 49

.05m = 11

m = 11/.05

Answer:

65⁰

Step-by-step explanation:

Take a look for the pict

Or

x+50⁰=115⁰

x= 115⁰-50⁰

x=65⁰

Answer:

90 cubic feet

Step-by-step explanation:

A rectangle prism formula is V = Base x Height.

V = 18 square ft. x 5 ft.

V = 90 cubic feet

The volume of the rectangular prism is 90 feet³.

Volume is a three-dimensional quantity used to calculate a solid shape's capacity. That means that the volume of a closed form determines how much three-dimensional space it can fill.

As, the Volume of Rectangular Prism is

= Base Area x Height

We have the rectangular prism whose Height is 5 feet tall

and, Base Area = 18 square

Now, the Area of Rectangular Prism is

= Base Area x Height

= 18 x 5

= 90 feet³

Thus, the Required Volume is 90 feet³.

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Answer:

Nope.

Step-by-step explanation:

The per cent excess air used in the flare can be determined based on the composition of the flue gas.

To calculate the per cent excess air used, we need to compare the actual amount of air used with the theoretical amount required for complete combustion. In this case, we can analyze the composition of the flue gas to determine the amount of CO₂ and H₂O present.

From the given composition, we can see that 70% of the gas is CH (methane), which is the main component being burned. The flue gas contains 7.73% CO₂ and 12.35% H₂O. Assuming complete combustion, the carbon in CH will be converted to CO₂, and the hydrogen will be converted to H₂O.

To calculate the theoretical amount of CO₂ produced, we can convert the CH to carbon and multiply it by the ratio of CO₂ to carbon. Similarly, we can calculate the theoretical amount of H₂O produced by converting the hydrogen to water.

By comparing the actual amount of CO₂ and H₂O in the flue gas with the theoretical values, we can determine the excess air used. The excess air is the additional amount of air supplied above the stoichiometric requirement. It is usually expressed as a percentage of the theoretical air requirement.

In conclusion, by analyzing the composition of the flue gas and comparing it with the theoretical values, we can determine the per cent excess air used in the flare.

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Answer:

A lumber yard is the answer to that riddle.

Step-by-step explanation:

Answer:

10 (p + m) or 10 p + 10 m

Step-by-step explanation:

Answer:

Prisms

Step-by-step explanation:

The only two associated are rectangles and prisms

Answer:

Solution in picture.

Step-by-step explanation:

A triangle has three angles which adds up to 180°.

First do the easy ones such as 90°. Then the Triangle. Then the vertical angles. Then the two angles of supplementary angles which adds up to 180°. Etc.

Answer:

1.77245385091

Step-by-step explanation:

Note that the function takes the trapezoid's area as input and returns as output the length of the other base is A(x)/7-5=x.

Recall that the function for the trapezoid area is:

A(x)=(B+b)*h/2

where

B and b are the bases and

h is the height.

Thus, given a height of 14 and one base length of 5 with the length of its other base

With the given data: h=14 B and b =5 and x (it may vary which one is bigger)

So that function becomes:

A(x)=(5+x) * 14/2

A(x)=(5+x)*7

So if you want the inverse function, you have to operate to find x:

A(x)/7=5+x

A(x)/7-5=x

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The critical points of the function are (0, 0) and (3/4, -9/4), To classify the critical points, we need to examine the second partial derivatives of f(x, y) at each point

To find the critical points of the function f(x, y) = 8x^3 + y^2 + 6xy, we need to find the values of (x, y) where the partial derivatives with respect to x and y are equal to zero.

Taking the partial derivative with respect to x, we have:

∂f/∂x = 24x^2 + 6y = 0.

Taking the partial derivative with respect to y, we have:

∂f/∂y = 2y + 6x = 0.

Solving these two equations simultaneously, we get:

24x^2 + 6y = 0,

2y + 6x = 0.

From the second equation, we can solve for y in terms of x:

Y = -3x.

Substituting this into the first equation:

24x^2 + 6(-3x) = 0,

24x^2 – 18x = 0,

6x(4x – 3) = 0.

Therefore, we have two possibilities for x:

1. x = 0,

2. 4x – 3 = 0, which gives x = ¾.

Substituting these values back into y = -3x, we get the corresponding y-values:

1. x = 0 ⇒ y = 0,

2. x = ¾ ⇒ y = -9/4.

Hence, the critical points of the function are (0, 0) and (3/4, -9/4).

To classify the critical points, we need to examine the second partial derivatives of f(x, y) at each point. However, since the original function does not provide any information about the second partial derivatives, further analysis is required to classify the critical points.

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The  percent of students who chose each website is as follows:

Website A: 29.17%

Website B: 10.83%

Website C: 18.33%

Website D: 8.33%

To find the percent of students who chose each website, you can calculate the percentage for each website by dividing the number of students who chose that website by the total number of students and then multiplying by 100.

Let's calculate the percentages:

For Website A: (35/120) x 100 = 29.17%

For Website B: (13/120) x 100 = 10.83%

For Website C: (22/120) x 100 = 18.33%

For Website D: (10/120) x 100 = 8.33%

So, the percent of students who chose each website is as follows:

Website A: 29.17%

Website B: 10.83%

Website C: 18.33%

Website D: 8.33%

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To sketch the direction field for the given ODEs in MATLAB, we can use the `quiver` function. Here's the MATLAB code for each ODE:

(b) u'(t) = (u^2)(t) + t + 1:

```matlab

% Define the range

t = linspace(-2, 2, 20);

u = linspace(-2, 2, 20);

% Create a meshgrid for t and u

[T, U] = meshgrid(t, u);

% Calculate the derivatives

dudt = U.^2 + T + 1;

dvdt = ones(size(dudt));

% Normalize the derivatives

norm = sqrt(dudt.^2 + dvdt.^2);

dudt = dudt./norm;

dvdt = dvdt./norm;

% Plot the direction field

quiver(T, U, dudt, dvdt);

axis tight;

xlabel('t');

ylabel('u');

```

(e) u'(t) = u(t)(u(t) - 3):

```matlab

% Define the range

t = linspace(-2, 5, 20);

u = linspace(-2, 5, 20);

% Create a meshgrid for t and u

[T, U] = meshgrid(t, u);

% Calculate the derivatives

dudt = U.*(U - 3);

dvdt = ones(size(dudt));

% Normalize the derivatives

norm = sqrt(dudt.^2 + dvdt.^2);

dudt = dudt./norm;

dvdt = dvdt./norm;

% Plot the direction field

quiver(T, U, dudt, dvdt);

axis tight;

xlabel('t');

ylabel('u');

```

(g) u'(t) = tsin(u) - (t^2)/4:

```matlab

% Define the range

t = linspace(-2, 5, 20);

u = linspace(-2, 5, 20);

% Create a meshgrid for t and u

[T, U] = meshgrid(t, u);

% Calculate the derivatives

dudt = T.*sin(U) - T.^2/4;

dvdt = ones(size(dudt));

% Normalize the derivatives

norm = sqrt(dudt.^2 + dvdt.^2);

dudt = dudt./norm;

dvdt = dvdt./norm;

% Plot the direction field

quiver(T, U, dudt, dvdt);

axis tight;

xlabel('t');

ylabel('u');

```

After running each code snippet in MATLAB, you should see a plot with arrows representing the direction field for the given ODE on the specified range. The equilibrium solutions, if any, can be visually identified as points where the arrows converge or where the direction field becomes horizontal.

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Add dress and shoes together:

30 + 25 = 55

1/5 off means the total after discount would be 4/5 ( 1 - 1/5 = 4/5)

Multiply total price by 4/5:

55 x 4/5 = (55 x4)/5 = 220/5 = 44

Total after discount is 44

Now add shipping:

44 + 8 = 52

Total paid = £52

Answer:

She will pay $52

Step-by-step explanation:

So she buys them both, which equals 55 dollars. But the website has a deal that is if you buy both of them it's 1/5 of the price off. And 1/5 of 55 is $11, so 55-11=44. You might think you're done but your not. At the end it says they add $8 for the shipping/handling, which is 44+8. This equals 52 dollars.  By the way substitute this money sign $ for the one on your page