what is the amount of pieces in each color

Answer:

SAS, because vertical angles are congruent.

Answer:

\(\pi/4\)

Step-by-step explanation:

The volume of a cone is \(\pi r^2h/3\). We have that \(r=1\) and \(h=3/4\). Therefore, the volume is \(\pi/4\).

Answer:

69 pi is your answer.

Answer:

252

Step-by-step explanation:

Step-by-step explanation:

since g(f(x)) = x g (f (x) )= x, f - 1 (x) = 5x3 + 43 f - 1 (x) = 5 x 3 + 4 3

The inverse of the given function \(f(x) = 3(x-4)^{2} +5\) is \(f^{-1} (x) = \sqrt{\frac{x-5}{3} } +4\).

An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by \(f^{-1}\) or \(F^{-1}\).

According to the given equation.

We have a function.

\(f(x) = 3(x-4)^{2} +5\)

The above function can be written as

\(y = 3(x-4)^{2} +5\)

Write the above function for x.

\(\implies y -5 = 3(x-4)^{2}\)

\(\implies \frac{y-5}{3} = (x-4)^{2}\)

\(\implies \sqrt{\frac{y-5}{3} } =x-4\)

\(\implies \sqrt{\frac{y-5}{3} } +4=x\)

\(0r\ x = \sqrt{\frac{y-5}{3}}+4\)

Replace \(x\) by \(f^{-1}(x)\) and \(y\) by \(x\).

We get

\(f^{-1} (x) = \sqrt{\frac{x-5}{3} } +4\)

Hence, the inverse of the given function \(f(x) = 3(x-4)^{2} +5\) is \(f^{-1} (x) = \sqrt{\frac{x-5}{3} } +4\).

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Answer:

426 chickens

Step-by-step explanation:

let the pigs = x

the ducks = 2×x = 2x

the chickens = 3×(2x) = 6x

x +2x +6x = 639

9x=639

x = 639/9 = 71

the chickens = 6x = 6×71 = 426

Answer:

\(426\:\mathrm{chickens}\)

Step-by-step explanation:

Since a duck has two legs, a pig has four legs, and a chicken has two legs, we can write the following system of equations:

\(\begin{cases}d+p+c=639,\\d=2p,\\c=3d\end{cases}\), where \(d\) is the number of ducks on the farm, \(c\) is the number of chickens, and \(p\) is the number of pigs.

Substituting, we get:

\(d+\frac{1}{2}d+3d=639,\\4.5d=639,\\d=\boxed{142}\)

Now substitute \(d=142\) into \(c=3d\) to get the number of chickens:

\(c=3(142)=\boxed{426\:\mathrm{chickens}}\)

It turns out we can solve this question using the law of cosine. The angle to the other two landmarks from the Empire State Building is approximately equal to 130°.

The law of cosine, or the cosine rule, can help us find the angle opposite to a side of a triangle if the side length and the other two side lengths are given. It says that \(c^2=a^2+b^2-2ab\cdot cos\gamma\) where c is a given side of a triangle opposite to angle γ, a and b are the other sides of the triangle, and γ is an angle of the triangle opposite to side c.

When trying to figure out the angle γ, we can rearrange the cosine rule a bit so that we've got \(\gamma=cos^{-1}(\frac{a^2+b^2-c^2}{2ab})\).

Let γ represent the angle to the other two landmarks, and a, b and c represent the approximate distances. Then,

\(\gamma=cos^{-1}(\frac{a^2+b^2-c^2}{2ab})=cos^{-1}(\frac{0.9^2+1.3^2-2^2}{2(1.3)})\approx130^{\circ}.\)

Hence, the approximate angle to the other two landmarks from the Empire State Building is approximately equal to 130°.

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Answer:

395.5917959

Step-by-step explanation:

parallelogram area is 15 x 12

one half circle is 9^2\(\pi\)/2

the other is 7.5^2\(\pi\)/2

add all together

The value of the triple integral z dV is 256π/35.

To evaluate the triple integral z dV, we need to set up the integral using the given bounds for E.

We can use cylindrical coordinates to represent the bounds of E. In cylindrical coordinates, the paraboloid \(z = x^2 + y^2\) is represented as \(z = r^2\), and the plane z = 4 is still z = 4. Thus, we have:

0 ≤ θ ≤ 2π (since we're integrating over the full circle)

0 ≤ r ≤ 2 (since the paraboloid intersects the plane z = 4 at z = \(2^2 = 4\))

\(r^2\) ≤ z ≤ 4 (since \(z = r^2\) for the paraboloid)

Using this, we can set up the integral:

∫∫∫ z dV = ∫\(0^2\) ∫\(0^{2\pi}\) ∫\(r^{2^{4}}\) zr dz dθ dr

Evaluating the innermost integral first, we get:

∫\(r^{2^{4}} zr dz\) = [1/2 \(z^2\)]\(r^{2^{4}}\) =\(8r^6/2 - r^4/2 = 4r^6 - r^4/2\)

Substituting this back into the integral and evaluating the next integral:

∫∫∫ z dV = ∫\(0^2 \int 0^2\pi (4r^6 - r^4/2)\)dθ dr ∫∫∫ z dV

= ∫\(0^2 (4r^6 - r^4/2)(2\pi) dr\)

\(= 2\pi [(4/7)r^7 - (1/10)r^5]\)from 0 to 2

\(= 2\pi [(4/7)(2^7) - (1/10)(2^5)] = 256\pi/35\)

Thus, the value of the triple integral z dV is 256π/35.

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Answer:

it can and cant at the same time.

The resulting DFA will have four states (A, B, C, D) and transitions defined as described above. State D will be the only final state.

To design a DFA that accepts strings where the number of 0's is a multiple of 3 and the number of 1's is odd, we can follow these steps:

1. Define the DFA states:

  - We need to keep track of two things: the count of 0's (mod 3) and whether the count of 1's is odd or even.

  - Let's define four states: A, B, C, and D.

  - State A represents the initial state with a count of 0's = 0 and an even count of 1's.

  - State B represents a count of 0's = 1 (mod 3) and an even count of 1's.

  - State C represents a count of 0's = 2 (mod 3) and an even count of 1's.

  - State D represents any count of 0's (mod 3) and an odd count of 1's.

2. Define the transitions:

  - From state A, if we read a 0, we transition to state B (count of 0's = 1 (mod 3)).

  - From state A, if we read a 1, we transition to state D (odd count of 1's).

  - From state B, if we read a 0, we transition to state C (count of 0's = 2 (mod 3)).

  - From state B, if we read a 1, we transition to state D (odd count of 1's).

  - From state C, if we read a 0, we transition to state A (count of 0's = 0 (mod 3)).

  - From state C, if we read a 1, we transition to state D (odd count of 1's).

  - From state D, if we read either a 0 or a 1, we stay in state D.

3. Define the final (accepting) state:

  - State D is the final state since it represents the condition of having a count of 0's (mod 3) and an odd count of 1's.

The resulting DFA will have four states (A, B, C, D) and transitions defined as described above. State D will be the only final state.

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Complete question is below

Design DFA {w | w ∈ Σ ∗ | number of 0’s in w is a multiple of 3 and number of 1’s in w is odd }.

The dependent variable must be continuous in order to conduct an ANOVA (Analysis of Variance) test.

Let me briefly explain the key terms and reasoning:
Dependent variable:

This is the outcome variable that you are measuring in an experiment or study.

It depends on the independent variable(s), which are the factors you manipulate or observe to determine their effect on the dependent variable.
Continuous variable:

A continuous variable is a numerical variable that can take on an infinite number of values within a given range. Examples include weight, height, and temperature.
ANOVA:

ANOVA is a statistical method used to compare the means of two or more groups to determine if there are significant differences between them.

It evaluates the effect of one or more independent variables on a continuous dependent variable.
To conduct an ANOVA, the dependent variable must be continuous because the test relies on calculating the variance within and between groups.

The variance is a measure of dispersion or spread of the continuous data.

If the dependent variable were not continuous, it would be difficult to quantify the differences between group means, making it impossible to determine if the independent variable(s) had a significant effect.
ANOVA test, the dependent variable must be continuous, allowing for the calculation of variances and comparison of group means to determine any significant differences based on the effect of the independent variable(s).

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Answer:

$127.5

Step-by-step explanation:

Gage Millar, Algebra 2 tutor

8am - 4:30pm is 8hr 30 minutes

8 1/2 (8 hour 30 minutes into hours) x 15

127.5

Answer:

Wouldn't she have had 5 cats before? Adding 2 other cats would make it 7, which fits the "more than 5 cats" requirement.

Answer:

D- Strong Negative

Step-by-step explanation:

The points have correlation because they form a line. The slope of the line is negative, so the correlation is strong negative. The points would be all over the place if the correlation was weak.

The correlation of the given data is Strong and negative.

A statistical measure known as correlation expresses how closely two variables are related linearly (meaning they change together at a constant rate). It's a typical technique for describing straightforward connections without explicitly stating cause and consequence.

Given, points in a cartesian plane Where all points are on a Straight line that indicates the correlation is strong. Since,

To evaluate the degree of relationships between data variables, correlation coefficients are utilized. The most popular gauge of the strength and direction of a linear link between two variables is known as a Pearson correlation coefficient.

And the given line is decreasing from left to right indicating the slope of the given Data is negative. Thus the correlation of the given points is negative.

Due to the fact that the points form a line, they are correlated. The correlation is strongly negative because the line's slope is negative. If the link was poor, the points would be scattered all over the place.

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Answer:

Step-by-step explanation:

2(2x-5) = 18 (FOIL)

4x-10=18

4x = 28

x= 7

Answer:

x = -2

Step-by-step explanation:

2(2x - 5) = -18

Divide both sides by 2.

2x - 5 = -9

Add 5 to both sides.

2x = -4

Divide both sides by 2.

x = -2

Step-by-step explanation:

1)

Prime factorization of 36 is: 2 x 2 x 3 x 3.

Prime factorization of 196 is: 2 x 2 x 7 x 7.

Prime factorization of 361 is: 19 x 19.

2)

Greatest Common Factor of 126 and 144 is: 18.

Least Common Multiple of 28, 42, and 63 is: 252.

3)

2/3+3/4=17/12.

2/3-3/4= -1/12.

3 2/3 x 1 3/4 = 6 5/12.

Answer

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

hope this helps

The required expression for Jose's height is 2j + 7.

Given that,

Height of Jose = j

Here we have to find the mathematical expression for the given statement.

And we know that Using operations like addition, subtraction, multiplication, and division, a mathematical expression is defined as a group of numerical variables and functions.

The proceed formation of expression,

The twice of Jose's height = 2j

Therefore,

7 more than Jose's height can be represented as

⇒ 2j + 7

Hence the expression is   2j + 7

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The angle it makes with the positive x axis in the xy plane is 61.3145 degrees.

In this question,

A normal vector to the plane is any vector that starts at a point in the plane and has a direction that is orthogonal (perpendicular) to the surface of the xy plane .

The magnitude of the xy plane, hypotenuse = 25 units

The x component of the xy plane, base = 12 units

Let θ be an angle, then the angle it makes with the positive x axis is

\(\theta = cos^{-1}(\frac{base}{hypotenuse} )\)

⇒ \(\theta = cos^{-1}(\frac{12}{25} )\)

⇒ \(\theta = cos^{-1}(0.48)\)

⇒ \(\theta = 61.3145\)

Hence we can conclude that the angle it makes with the positive x axis in the xy plane is 61.3145 degrees.

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The scale factor of the dilation of the triangles is 2

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

The similar triangles

The scale factor of the dilation is the division of the corresponding sides

So, we have

Scale factor = 6/3

When evaluated, we have

scale factor = 2

Hence the scale factor is 2

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Answer:

y = x + 2

Step-by-step explanation:

First, find the slope.

(y2 - y1 / x2 - x1)

I'm going to use (0,-2) and (2,0) as my points.

Find the slope.

(-2) - 0 / 0 - 2= -2 / -2 = 1

So the slope is 1.

Now find the y-intercept.

Y-intercept is 2.

Now substitute it into the slope-intercept form equation. (y = mx + b)

y = x + 2

Answer:

10/16

Step-by-step explanation:

Just multiply the denominator and the numerator by 2 and wha la you get 10/16 hope it helps!

Answer:

If you mean 5/8 (\(\frac{5}{8}\)), then your answer would be 5 8 or 10/16 (\(\frac{10}{16}\)).

10/16 simplified is actually 5/8!

The SSS Similarity Theorem states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are similar. This theorem is also known as the Side-Side-Side Similarity Theorem or the SSS Similarity Postulate.

What is the similarity theorem of triangles?

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. Triangle similarity is indicated here by the symbol (~).

SSS or Side-Side-Side Similarity.
If all three sides of a triangle are in proportion to the three sides of another triangle, then the two triangles are similar.
Thus, if AB/XY = BC/YZ = AC/XZ then ΔABC ~ΔXYZ.
From this result, we can conclude that-
∠A = ∠X, ∠B = ∠Y and ∠C = ∠Z
Hence, we have described the SSS similarity theorem.

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Answer:

Step-by-step explanation:

The expression 36 divided by s = 4 can be solved for s by dividing both sides of the equation by 36:

36/s = 4

Dividing both sides of the equation by 4:

s = 36/4 = 9

So, the value of s that makes the equation true is 9. This means that if you divide 36 by 9, the result will be 4.

The expression - 7 meters represents the 7 meters in the west direction.

The quantity which has magnitude, and direction, and follows the law of vector addition is called a vector.

If 20km represents 20 km due east.

We know that the opposite of the east direction will be the west direction.

Then we can conclude that if the east direction represents the positive values, then the west direction represents the negative value.

Then the expression - 7 meters represents the 7 meters in the west direction.

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Answer:

\(13 - x \\ here \: given \: that \: x = 9 \\ then \\ 13 - 9 = 4 \\ thank \: yo\)

13 6/8 or 13 3/4 they are both right answers