If 0.25 cm represents 5 feet on a blueprint, what is the actual length of a room that is 8.5 inches long?

Answer:

half eaten pizza has greater circumference

Step-by-step explanation:

full eaten pizza's circumference = 2πr

= 2 * 3.14 * 7 = 43.96 inches

half eaten pizza's circumference = πd

= 3.14 * 20

=62.8 inches

(a) product A is increasing.

(b) The highest percentage change in 4th year.

Function is a combination of different types of variable and constants.

A function is denoted by f(x).

The given function is,

f(x) = 72(1.25)ˣ

(a)

At starting when x=0,

f(0)= 72×1 = 72

After 1 year, the price is  

f(1) = 72 × 1.25 = 90

After 2 year, the price is  

f(2) = 72 × (1.25)² = 112.5

After 3 year, the price is  

f(3) = 72 × (1.25)³ = 140.625

After 4 year, the price is  

f(3) = 72 × (1.25)⁴ = 175.78

The function f(x) is in increasing order, implies that product A is increasing.

(b)

The percentage change for 2nd year = 30%

The percentage change for 3rd year = 30 %

The percentage change for 4th year = 30.004

The highest percentage is  4th year.

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The phone's usage patterns, network coverage, and background apps can also affect its battery life, so it is important to keep these in mind as well.

Based on the information provided in part (d), we can see that the iPhone 12 Pro Max has a larger battery capacity than the iPhone SE (2020), which should theoretically give it a longer battery life. However, the battery life of a phone also depends on other factors such as the screen size, processor efficiency, and overall power consumption of the device.

Unfortunately, we do not have specific information about the battery life of these phones, so we cannot definitively say which one is better for someone looking for a phone with a battery life between 18 and 22 hours. It is possible that both phones could meet this requirement, but it ultimately depends on how the user utilizes their phone.

In general, it is recommended to check the battery life specifications and reviews of a phone before making a purchase decision, as this can help provide a better understanding of its battery performance. Additionally, factors such as the phone's usage patterns, network coverage, and background apps can also affect its battery life, so it is important to keep these in mind as well.

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Answer:  the equation of function g(x) is y=0.7 x+ 1.5

Step-by-step explanation: The value of the function g(x) is −2 when x=−5. It means the graph of function passes through (-5,-2).

The value of the function g(x) is 5.7 when x=6. It means the graph of function passes through (6,5.7).

The equation of function g(x) that passes through (-5,-2) and (6,5.7) is

Angle ABC is greater than angle C, as required. Given triangle ABC with AC greater than AB, and BD drawn such that AD is congruent to AB, we need to prove that angle ABC is greater than angle C.

To begin with, we can draw a diagram to visualize the situation. In the diagram, we see that BD is an altitude of triangle ABC, as well as a median since it divides the base AC into two equal parts. We also see that triangles ABD and ABC are congruent by the side-side-side (SSS) criterion, which means that angle ABD is equal to angle ABC.

Now, we can use this information to prove our statement. Since triangle ABD and triangle ABC are congruent, their corresponding angles are also equal. Therefore, we know that angle ABD is equal to angle ABC.

Next, we observe that angle ABD is a right angle, since BD is an altitude of triangle ABC. This means that angle ABC is the sum of angles ABD and CBD.

Since AD is congruent to AB, we also know that angles ABD and ADB are congruent. Therefore, angle CBD is greater than angle ADB.

Putting all of this together, we can conclude that angle ABC is greater than angle C, as required.

In summary, we have shown that given triangle ABC with AC greater than AB and BD drawn such that AD is congruent to AB, angle ABC is greater than angle C. This is because angles ABD and CBD add up to angle ABC, and angle CBD is greater than angle ADB.

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Answer:

1/6

Step-by-step explanation:

Answer: 1/6

Step-by-step explanation: 60 minutes in a hour and one sixth of it is 10 minutes

The value of the F ratio for testing the significance of this model is not 15.56.

For question 10, in a simple linear regression analysis, SST represents the total sum of squares, which measures the total variation in the dependent variable. SSE represents the sum of squared errors, which measures the variation that is not explained by the regression model.

To determine which statement is true, we need to compare the values of SST and SSE.


Now let's move on to question 14. The standard error of estimate is a measure of the variability of the observed values around the regression line. It is not directly related to the sum of the residual squared.

Therefore, the statement that the sum of the residual squared must be 120 is not necessarily true.

Lastly, for question 15, the F ratio is used to test the overall significance of a multiple regression model. It compares the explained variation (SST - SSE) with the unexplained variation (SSE) and takes into account the number of observations and number of explanatory variables.

Given that SST is 900 and SSE is 460, we can calculate the F ratio as follows:

F = ((SST - SSE) / number of explanatory variables) / (SSE / (number of observations - number of explanatory variables))

F = ((900 - 460) / 5) / (460 / (35 - 5))

F = 440 / 460

F ≈ 0.9565

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Answer:

-1

Step-by-step explanation:

To figure this answer out, you add 9 to -10, which is -1

Hope this helps

Answer:

the value of x in this problem is 9

Using the balance sheet figures at the beginning of the year and the income statement figures at the end of the year.

Hence,  Using the balance sheet figures at the beginning of the year and the income statement figures at the end of the year.

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(4.1) The sets in σ(X), the sigma-algebra generated by random variable X, can be determined by considering the pre-images of X. Since X can take two possible values, 1 and -1/2, the sets in σ(X) will be all possible combinations of these values. Therefore, the sets in σ(X) are:

{∅, Ω, {ω1, ω2, ω3}, {ω4, ω5, ω6}, {ω1, ω2, ω3, ω4, ω5, ω6}}.

(4.2) To determine E[Y|X] and E[Z|X], we need to find the conditional expectations of Y and Z given X for each ωi.

For Y:

E[Y|X=1] = Σ P(ωi|X=1)Y(ωi) = P(ω1|X=1)Y(ω1) + P(ω2|X=1)Y(ω2) + P(ω3|X=1)Y(ω3) + P(ω4|X=1)Y(ω4) + P(ω5|X=1)Y(ω5) + P(ω6|X=1)Y(ω6)

= 0*(-1) + 0*(-1) + 1*(-1) + 0*(-1) + 0*(-1) + 0*(-1) = -1.

E[Y|X=-1/2] = Σ P(ωi|X=-1/2)Y(ωi) = P(ω1|X=-1/2)Y(ω1) + P(ω2|X=-1/2)Y(ω2) + P(ω3|X=-1/2)Y(ω3) + P(ω4|X=-1/2)Y(ω4) + P(ω5|X=-1/2)Y(ω5) + P(ω6|X=-1/2)Y(ω6)

= 1*(-1) + 1*(-1) + 0*(-1) + 1*(-1) + 1*(-1) + 1*(-1) = -6.

For Z:

E[Z|X=1] = Σ P(ωi|X=1)Z(ωi) = P(ω1|X=1)Z(ω1) + P(ω2|X=1)Z(ω2) + P(ω3|X=1)Z(ω3) + P(ω4|X=1)Z(ω4) + P(ω5|X=1)Z(ω5) + P(ω6|X=1)Z(ω6)

= 0*(1-1) + 0*(1-1) + 1*(1-1) + 0*(1+1) + 0*(1+1) + 0*(1+1) = 0.

E[Z|X=-1/2] = Σ P(ωi|X=-1/2)Z(ωi) = P(ω1|X=-1/2)Z(ω1) + P(ω2|X=-1/2)Z(ω2) + P(ω3|X=-1/2)Z(ω3) + P(ω4|X=-1/2)Z(ω4) + P(ω5|X=-1

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Answer:

he invented the point

he was a German mathematician

he  Hilbert's improvements to geometry are still used in textbooks today

he developed Hilbert's axioms

Step-by-step explanation:

Answer:

He was a German mathematician.

If only one is true then you're good to go.

Whoops never mind.. :/

Answer:

x = 55 + 60

= 115

.....................................

Answer:

\(area = \pi {r}^{2} \)

675= 3.14× r²

r²= 675/ 3.14

r²=214.968

\(r = \sqrt{214.968} \)

radius=14.66 meters

diameter= 2× radius

diameter= 2× 14.66

diameter = 29.32 meters

Answer:

Step-by-step explanation:

There are 12 possible cards you can choose.

There are 3 possible results for the spinner.

There are 2 possible results for the coin toss.

When doing all 3 events:

      Total possibilities \(=12\times 3 \times 2=72.\)

SOLUTION:   72

-14 is the value of the expression b - 3a at a =6 and b = 4.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression b - 3a

For this expression given,

a = 6 and b = 4

Thus the value of expression at given values

=> b - 3a

=> 4 - 3 * 6

=>4 - 18

=> -14

Therefore, the value of the expression b - 3a at a =6 and b = 4 is -14.

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Answer:

k = 2 √ 19 , − 2 √ 19

Step-by-step explanation:

Take the root of both sides and solve.

Answer:

± 8.7178 or ± the square root of 19

Step-by-step explanation:

Solve  :    k2-76 = 0

Add  76  to both sides of the equation :

                     k2 = 76

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:  

                     k  =  ± √ 76  

Can  √ 76 be simplified ?

Yes!   The prime factorization of  76   is

  2•2•19

To be able to remove something from under the radical, there have to be  2  instances of it (because we are taking a square i.e. second root).

√ 76   =  √ 2•2•19   =

               ±  2 • √ 19

The equation has two real solutions  

These solutions are  k = 2 • ± √19 = ± 8.7178  

The average slope of the function ƒ(x) = 2x³ – 6x² + 90x + 6 on the interval [6, 10] is 198. Two values of c that satisfy the Mean Value Theorem are -2 and 6.

To find the average or mean slope of the function ƒ(x) = 2x³ – 6x² + 90x + 6 on the interval [6, 10], we calculate the difference in the function values at the endpoints and divide it by the difference in the x-values. The average slope is given by (ƒ(10) - ƒ(6)) / (10 - 6).

After evaluating the expression, we find that the average slope is equal to 198.

By the Mean Value Theorem, we know that there exists at least one value c in the open interval (-6, 10) such that ƒ'(c) is equal to the mean slope. To determine these values of c, we need to find the critical points or zeros of the derivative of the function ƒ'(x).

After finding the derivative, which is ƒ'(x) = 6x² - 12x + 90, we solve it for 0 and find two solutions: c = 2 ± √16.

Therefore, the smaller value of c is 2 - √16 and the larger value is 2 + √16, which simplifies to -2 and 6, respectively. These are the values of c that satisfy the Mean Value Theorem.




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Answer:

C

Step-by-step explanation:

You can use process of elimination. In D and A all the y numbers are staying the same. In B, the numbers are decreasing. So the only possible answer is C.

Hope this helped!! :D

To reduce the third-order ordinary differential equation y - y" - 4y + 4y = 0 into a companion system of linear equations, we introduce new variables u and v:

Let u = y,

v = y',

w = y".

Taking the derivatives of u, v, and w with respect to the independent variable (let's denote it as x), we have:

du/dx = y' = v,

dv/dx = y" = w,

dw/dx = y"'.

Now we can rewrite the given differential equation in terms of u, v, and w:

u - w - 4u + 4u = 0.

Simplifying the equation, we get:

-3u - w = 0.

This equation can be expressed as a system of first-order linear differential equations as follows:

du/dx = v,

dv/dx = w,

dw/dx = -3u - w.

Now we have a companion system of linear equations:

du/dx = v,

dv/dx = w,

dw/dx = -3u - w.

To solve this system completely, we need to find the solutions for u, v, and w. By solving the system of differential equations, we can obtain the solutions for u(x), v(x), and w(x), which will correspond to the solutions for y(x), y'(x), and y"(x), respectively.

The exact solutions for this system of differential equations depend on the initial conditions or boundary conditions that are given. By applying appropriate initial conditions, we can determine the specific solution to the system.

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Answer:

last option:  y = 1/6x+3; y = 1/2x+3

Step-by-step explanation:

6y = x + 18

Solve the above for 'y' to get:

y = 1/6x + 3

2y - x = 6

Solve the above for 'y' to get:

2y = x + 6

y = 1/2x + 3

The most specific name for the figure is an isosceles trapezoid

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

The figure

The properties of the given figure are

Using the above as a guide, we have the following:

The figure is a trapezoid

Because the nonparallel sides are congruent, then the most specific name for the figure is an isosceles trapezoid

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The final image of the given points after the given translation and dilation of D4,  T3,5 is  (27, -23).

For the given image point of (6, -7) .

First there is a dilation of 4.

Thus,

Image = (6×4 , -7×4)

Image = (24, -28)

Now, there is translation of 3 units right on x axis and 5 unit upward on y axis; T3,5.

Image = (24 + 3, -28 + 5)

Image = (27, -23)

Thus, the final image of the given points after the given translation and dilation is  (27, -23).

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Answer:

If you still need the answer it’s c

Step-by-step explanation: The zeros of the graph are 2 and 3 , which is where the graph crosses the x axis,

The factorization is the form

(x-a) (x-b) where a and b are the zeros

(x-3) (x-2)

Answer:

Option a.

Step-by-step explanation:

Two figures are similar if they have the same shape, but maybe different sizes, so if we have a triangle, and we dilate/contract it with a scale factor K, the original triangle and the dilated/contracted one will be similar.

Two figures are congruent if they have the same shape and size. For example, transformations that do not change the size will make congruent figures, those transformations are reflections, rotations and translations.

Now we need to find a sequence of transformations that would result in the two triangles being similar but no congruent, then we need to find the sequence of transformations that has a dilation/contraction in it.

The only sequence that has a dilation is the first one:

a) Rotation 90° centered about the origin, followed by a dilation of scale factor 3 centered about the origin.

Then option a is the correct one.