The shelter found homes for
10% of the cats they had. What is
10% of 40 cats?

Given the lengths of the two sides and the angle between them, only one triangle can be created under the given circumstances.

1. Given that angle B is 32.5°, side AB is 37 cm, side AC is 26 cm, etc.

2. Calculate side BC using the Law of Cosines:

BC = (2(AB)(AC)cosB) + (AB)(AC)2

3. Input the values that are known: BC = (37 2 + 26 2 - 2(37)(26)cos32.5°)

4. Condense: BC = (1369 plus 676 minus 1848 cos 32.5 °)

5. Determine BC =. (2095 - 1539.07)

6. Condense: BC = 556.93

7. Determine BC as 23.701 cm.

8. Since the lengths of the two sides and the angle between them are specified, only one triangle can be formed under the current circumstances.

By applying the Law of Cosines, we can determine the length of the third side, BC, given that side AB is 37 cm, side AC is 26 cm, and angle B is 32.5°. In order to perform this, we must first determine the cosine of angle B, which comes out to be 32.5°. Then, we enter this value, together with the lengths of AB and AC, into the Law of Cosines equation to obtain BC.BC = (AB2 + AC2 - 2(AB)(AC)cosB) is the equation. BC is then calculated by plugging in the known variables to obtain (37 + 26 - 2(37)(26)cos32.5°). By condensing this formula, we arrive at BC = (1369 + 676 - 1848cos32.5°). Then, we calculate BC as BC = (2095 - 1539.07), and finally, we simplify to obtain BC = 556.93. Finally, we determine that BC is 23.701 cm. Given the lengths of the two sides and the angle between them.

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Therefore, the expected value of X is 395 pastries, and the variance of X is 38805.

The probability distribution for X, the number of pastries sold on a Monday is given as below;

x = 150,

p(x) = 0.15x

= 250,

p(x) = 0.20x

= 350,

p(x) = 0.05x

= 450,

p(x) = 0.20x

= 550, p(x) = ?

We can find the value of p(x) for x = 550 by using the fact that the total probability of all possible outcomes is always equal to 1.

Therefore, we can set up the equation as follows:

0.15 + 0.20 + 0.05 + 0.20 + p(x) = 1

Simplifying this equation, we get:

p(x) = 0.40

So, the probability distribution for X is:

x = 150,

p(x) = 0.15x

= 250,

p(x) = 0.20x

= 350,

p(x) = 0.05x

= 450,

p(x) = 0.20x

= 550,

p(x) = 0.40

The probability distribution can be used to find the expected value and variance of X. The expected value of X is given by:E(X) = Σ[x * p(x)]

where Σ denotes the sum over all possible values of X.

The expected value of X is:

E(X) = 150(0.15) + 250(0.20) + 350(0.05) + 450(0.20) + 550(0.40)

= 395

The variance of X is given by:

Var(X) = Σ[(x - E(X))^2 * p(x)]

where Σ denotes the sum over all possible values of X.

The variance of X is:

Var(X) = (150 - 395)^2(0.15) + (250 - 395)^2(0.20) + (350 - 395)^2(0.05) + (450 - 395)^2(0.20) + (550 - 395)^2(0.40)

= 33025 - 156025 + 30360 + 110250 - 156025 + 87120

= 38805

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Answer:

3 roots

Step-by-step explanation:

The roots are the values of x on the x- axis where the graph crosses x- axis

The graph crosses the x- axis at 3 points, thus has 3 roots

a) For labeled objects and boxes, there are 5⁶ = 15,625 possible distributions. b) For labeled objects and unlabeled boxes, there are 792 possible distributions. c) For unlabeled objects and labeled boxes, there are 5C6 = 5 possible distributions.d) There is only 1 possible distribution.

a) When both the objects and boxes are labeled, each object can be placed in any of the five labeled boxes, giving us 5 choices for each object. Since there are six objects in total, the total number of distributions is 5⁶ = 15,625.

b) When the objects are labeled but the boxes are unlabeled, we can use a technique called stars and bars. We have 6 objects (stars) and 5 boxes (bars). The objects can be distributed by placing the bars between the objects, so there are (6 + 5 - 1) choose (5 - 1) = 792 possible distributions.

c) When the objects are unlabeled but the boxes are labeled, we have 5 boxes, and we need to choose 6 objects to fill them. This can be thought of as choosing a subset of 6 objects out of 5, which can be done in 5C6 = 5 ways.

d) When both the objects and the boxes are unlabeled, there is only one possible distribution. Since the objects and boxes are indistinguishable, it does not matter which object goes into which box, resulting in a single distribution.

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Answer:

16°

Step-by-step explanation:

so 10 degrees warmer from 8 to noon

so

-14°+10°= -4°

so at noon, it was -4°

but then from noon to 4 pm, the temp change was twice that

so

10° x 2= 20°

so

-4° + 20° = 16°

temp at 4 pm was 16°

1) The height of every other person must be less than 107 inches. 2)9 feet is not a solution to inequality.

Question 1: The tallest person who ever lived was approximately 8 feet 11 inches tall. To represent the heights h (in inches) of every other person who has ever lived, we can write the inequality:

h < 107

This inequality states that the height of every other person must be less than 107 inches.

Question 2: Is 9 feet a solution to inequality?

No, 9 feet is equal to 108 inches, which is not less than 107 inches. Therefore, 9 feet is not a solution to the inequality.

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The inequality that represents the heights of every other person is h < 107 inches. 9 feet is not a solution to this inequality.

To represent the heights of every other person who has ever lived compared to the tallest person's height of 8 feet 11 inches, we can use the inequality h < 107 inches. This inequality means that the height of every other person is less than 107 inches.

For the second question, 9 feet is equal to 108 inches, which is not less than 107 inches. Therefore, 9 feet is not a solution to the inequality h < 107 inches.

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The amount of tip Mr Charles left given the total amount paid for dinner is $7

Amount of tip Mr Charles left = Percentage of tip × Total cost of dinner

= 15% × 46.95

= 15/100 × 46.95

= 0.15 × 46.95

= $7.0425

Approximately,

$7

Therefore, the amount of tip Mr Charles left is about $7

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Answer:

One ticket is $153

Step-by-step explanation:

x = The price of a ticket

855=5x+18(5)

855=5x+90

765=5x

153=x

Answer:

x = $159

Step-by-step explanation:

5 tickets are bought, the price of them is unknown?

1 ticket per $18 travel insurance

5 tickets = 18 × 5

insurance per 5 tickets = $90

the equation:

let X represent the number of tickets.

5x + 90 = 885. the total cost of insurance and tickets = 885

we solve the equation.

5x=885 - 90

5x= 795. divide by 5 into both sides.

x= $159. which is the price of one ticket.

Answer:

Slope: 3/2

Y-intercept: 3

Step-by-step explanation:

Because the equation is set up as mx+b, the slope is actually just the number in front of x, and the y-intercept is 3

Answer:

Classifying information helps to protect our national security

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The importance of derivative classification lies in its role in safeguarding sensitive information and ensuring national security. Derivative classification involves the process of determining the level of classification of information that is derived from a primary source.

Derivative classification is an essential aspect of information security and classification systems. It involves assigning the appropriate level of classification to information that is derived from a primary classified source. This process ensures that the derived information is protected and handled with the same level of care as its source material.

The importance of derivative classification lies in several key factors. Firstly, it helps prevent unauthorized disclosure of sensitive information. By classifying derived information, access to it can be controlled, limiting its availability to individuals with appropriate security clearances. This restriction ensures that only authorized personnel can access and handle the information, reducing the risk of it falling into the wrong hands.

Derivative classification promotes information sharing within authorized channels. When information is properly classified, it can be shared securely among individuals or organizations that have the necessary clearances. This controlled sharing allows for effective collaboration and coordination among different entities while maintaining the confidentiality of the information.

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Answer:

There was more precipitation in the year 2010.

Step-by-step explanation:

Here in this question, we have the data for the amount of precipitation received in two different years in a city called Sacramento.

Now, we are tasked with finding in which of the two years was there more precipitation.

From the question, we can identify the following;

in 2010, precipitation was 23 inches

in 2011, precipitation was 17 inches

We can see that 23 inches is greater than 17 inches. So what this mean is that the precipitation in 2010 was more than the precipitation received in 2011.

The equilibrium constant can be determined using the concentrations of reactants and products at equilibrium. In this case, the initial concentrations of substances A, B, and C are given as [A] = 0.50 M, [B] = 0.75 M, and [C] = 1.2 M, while the equilibrium concentration of C is [C] = 1.0 M.

The equilibrium constant, denoted as K, is defined as the ratio of the product of the concentrations of the products to the product of the concentrations of the reactants, each raised to the power of their stoichiometric coefficients. In this case, the balanced chemical equation is not provided, so we cannot directly calculate the equilibrium constant.

To determine the equilibrium constant, we need the balanced chemical equation representing the reaction. Once the balanced equation is available, we can determine the stoichiometric coefficients and calculate the equilibrium constant using the concentrations at equilibrium. Without the specific reaction, we cannot provide a numerical value for the equilibrium constant.

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Based on the distance that the yellow jacket flies in 9 seconds, the unit rate in meter per second is 0.5 m/s

The unit rate of the yellow jacket can be found by the formula:

= Distance travelled / Number of seconds

Solving gives:

= 4.5 / 9

= 0.5 meter per second

= 0.5 m/s

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Answer:

w=54

Step-by-step explanation:

Answer:

W = 54

Step-by-step explanation:

Angles on a straight line add up to 180

180 - 126 = 54

Answer:

the board is 2.4 ft

Step-by-step explanation:

because 24/10 is 2.4

Answer:

3 meters per second.

Step-by-step explanation:

Change in elevation = distance / time

= 18/6

= 3 meters / second.

.

Answer:

4?

lol

Step-by-step explanation:

The Radical Form (√x)  ,the solutions to the equation √x - 2 + 4 = x are x = 1 and x = 4.

The equation √x - 2 + 4 = x for x, we can follow these steps:

1. Begin by isolating the radical term (√x) on one side of the equation. Move the constant term (-2) and the linear term (+4) to the other side of the equation:

  √x = x - 4 + 2

2. Simplify the expression on the right side of the equation:

  √x = x - 2

3. Square both sides of the equation to eliminate the square root:

  (√x)^2 = (x - 2)^2

4. Simplify the equation further:

  x = (x - 2)^2

5. Expand the right side of the equation using the square of a binomial:

  x = (x - 2)(x - 2)

  x = x^2 - 2x - 2x + 4

  x = x^2 - 4x + 4

6. Move all terms to one side of the equation to set it equal to zero:

  x^2 - 4x + 4 - x = 0

  x^2 - 5x + 4 = 0

7. Factor the quadratic equation:

  (x - 1)(x - 4) = 0

8. Apply the zero product property and set each factor equal to zero:

  x - 1 = 0   or   x - 4 = 0

9. Solve for x in each equation:

  x = 1   or   x = 4

Therefore, the solutions to the equation √x - 2 + 4 = x are x = 1 and x = 4.

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To simplify the fraction, we can factor out the common term of xy from both the numerator and denominator, resulting in \((x^2 - 2xy) / [(2y - x) y]\).

To simplify the given algebraic fraction, we can use the factorization method by factoring out the common term of "xy" from both the numerator and denominator. This leaves us with the fraction:

\((x^3y - 2x^2y^2) / (2xy^3 - x^2y^2)\)

= \((xy) (x^2 - 2y) / (xy^2) (2y - x)\)

We can simplify the above expression by canceling out the common factor of "xy" in the numerator and denominator. This gives us:

\((x^2 - 2xy) / [(2y - x) y]\)

Thus, the simplified algebraic fraction is \((x^2 - 2xy) / [(2y - x) y]\).

It's important to note that when simplifying algebraic fractions, we can only cancel out common factors if they are present in both the numerator and denominator. In this case, the common factor was "xy". We factored it out from both the numerator and denominator, then cancelled out the factor to simplify the expression.

Furthermore, we can also see that the denominator of the simplified expression (2y - x) y has two factors. One of them is (2y - x), which is the difference between two terms, and the other one is y. We cannot simplify this any further since neither of these factors can be factored any further. Therefore, this is the final form of the algebraic fraction.

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Answer:

hope it helps...

Step-by-step explanation:

please comment me if it is really helpful ..

Answer:

100,000=10^5,  and 1/100,000= 1/10^5=10^-5

so this is your answer

10^5 x 10^-5

Step-by-step explanation:

Sample answer from Edmentum.

The exponential value of  1,00,000 and 1/1,00,000 is 10⁵ and 10⁻⁵.

The formula for an exponential function is f (x) = axe, where x is a variable and an is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.

Given numbers 1,00,000 and 1/1,00,000

factors of 1,00,000 = 10 x 10 x 10 x 10 x 10

1,00,000 in exponential form is 10⁵ because 10 is multiplying continuously 5 times.

and 1/1,00,000 = 1/(10⁵)

using formula 1/aⁿ = a⁻ⁿ

so  1/(10⁵) = 10⁻⁵

Hence exponential for numbers is  10⁵ and  10⁻⁵.

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Answer:

I'm notsure what you mean

The sequence of transformations of rectangle A onto rectangle B is

B)  A dilation with a center of dilation at the origin, followed by a translation down and a translation to the left.

The graph's curve "moves to the left/right/up/down," "it expands or compresses," or "it reflects" when a function is transformed. For instance, simply advancing the graph of the function g(x) = x2 by 3 units will yield the graph of f(x) = x2 + 3. Function transformations are very useful for graphing the functions by simply moving, expanding, compressing, or reflecting the curve, as opposed to having to start from scratch with the graphing.

A function transformation "moves," "resizes," or "reflects" the parent function's graph, depending on the case. Function transformations can be broadly divided into three categories:

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Based on the equation in the question , the R2 would be 0.934.

To compute R2, we need to use the formula:

R2 = SSR / SST

Given that SSR = 14,141.7 and

SST = 15,128.4,

We can substitute these values into the formula:

R2 = 14,141.7 / 15,128.4

R2 ≈ 0.934

b. To compute Ra2, we need to subtract R2 from 1:

Ra2 = 1 - R2

Substituting the value of R2 we calculated in part a:

Ra2 ≈ 1 - 0.934

Ra2 ≈ 0.066

c. A large R2 value indicates that the estimated regression equation explains a large amount of the variability in the data.

In this case, R2 is approximately 0.934, which means that the estimated regression equation explains about 93.4% of the variability in the data.

So, the answer is "Yes".

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The standard form of the equation is (x' - 8x) + (y - 3)^2 = 48

To write the equation in standard form and identify the related conic, let's rearrange the given equation:

x' + y^2 - 8x - 6y - 39 = 0

Rearranging the terms, we have:

x' - 8x + y^2 - 6y - 39 = 0

Now, let's complete the square for both the x and y terms:

(x' - 8x) + (y^2 - 6y) = 39

To complete the square for the x terms, we need to add half the coefficient of x (-8) squared, which is (-8/2)^2 = 16, inside the parentheses. Similarly, for the y terms, we need to add half the coefficient of y (-6) squared, which is (-6/2)^2 = 9, inside the parentheses:

(x' - 8x + 16) + (y^2 - 6y + 9) = 39 + 16 + 9

(x' - 8x + 16) + (y^2 - 6y + 9) = 64

Now, let's simplify further:

(x' - 8x + 16) + (y^2 - 6y + 9) = 8^2

(x' - 8x + 16) + (y - 3)^2 = 8^2

(x' - 8x + 16) + (y - 3)^2 = 64

Now, we can rewrite this equation in standard form by rearranging the terms:

(x' - 8x) + (y - 3)^2 = 64 - 16

(x' - 8x) + (y - 3)^2 = 48

The equation is now in standard form. From this form, we can identify the related conic. Since we have a squared term for y and a constant term for x (x' is just another variable name for x), this equation represents a parabola opening horizontally.

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The conditional PDF of X given Y = y is a geometric distribution with parameter 1-p.

Let X be a geometric random variable with parameter p, and let Y be a uniform random variable on the interval [0,1], which means the PDF of Y is fY(y) = 1 for 0 ≤ y ≤ 1 and 0 otherwise. We want to find the conditional PDF of X given Y = y.

By Bayes' theorem, the conditional PDF of X given Y = y is given by:

fX|Y(x|y) = fY|X(y|x) fX(x) / fY(y)

where fX(x) is the PDF of X, which is given by fX(x) = (1-p)^(x-1) p for x = 1, 2, 3, ..., and fY|X(y|x) is the PDF of Y given X = x, which is given by fY|X(y|x) = 1 for 0 ≤ y ≤ p and 0 otherwise.

To find fY(y), we use the law of total probability:

fY(y) = ∑ fX(x) fY|X(y|x) for all x

Plugging in the values of fX(x) and fY|X(y|x), we get:

fY(y) = ∑ (1-p)^(x-1) p for 0 ≤ y ≤ p and 0 otherwise.

Since Y is uniform on [0,1], we have fY(y) = 1 for 0 ≤ y ≤ 1 and 0 otherwise. Therefore, the above sum simplifies to:

∑ (1-p)^(x-1) p = p / (1 - (1-p)) = 1

Now we can plug in the values of fY(y) and fX(x|y) into the formula for the conditional PDF of X given Y = y:

fX|Y(x|y) = fY|X(y|x) fX(x) / fY(y)

fX|Y(x|y) = (1/p) (1-p)^(x-1) p / 1 = (1-p)^(x-1)

Thus, the conditional PDF of X given Y = y is a geometric distribution with parameter 1-p.

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Answer:

Step-by-step explanation:

dddfykb