Which of the following shows the graph of y= 2e*?
-5-4
?
7
4
3+
2+
1+
-11
-2
?TY
s
-
234
5 X

The correct statement is their corresponding sides have equal lengths, and the angle measures of triangle 2 are 0.25 times the corresponding angle measures of triangle 1.

What is property of similar triangle?

If the corresponding sides of two triangles have the same ratio and the corresponding angles are equal, then the triangles are similar.

They have parallel corresponding sides, and they have angles with the same measure.

hence, the correct statement is their corresponding sides have equal lengths, and the angle measures of triangle 2 are 0.25 times the corresponding angle measures of triangle 1.

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Answer:

56 chickens or 112 legs

Answer:

0.09

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

Answer:

Step-by-step explanation:

The y-intercept exists when x = 0.  So where x = 0, from the table we can see that y = 60.  The y-intercept for the table is 60.

Answer:

60

Step-by-step explanation:

Answer:

$12.80

Step-by-step explanation:

The cost to get 8 bottles of juice and 4 bags of chips will be:

= 8($.105) + 4($1.10)

= $8.40 + $4.40

= $12.80

The cost for x bottles of juice and y bags of chips will be:

= (1.05 × x) + (1.10 × y)

= 1.05x + 1.10y

The required probability that all three cards drawn are hearts is approximately 0.0129 or 1.29%.

Find the total number of possible outcomes,

When drawing 3 cards from a standard deck of 52 cards:

To find the total number of possible outcomes,

Use the formula for combinations,

⇒ \(^{n} C_{r}\) = n! / (r! x (n-r)!)

where n is the number of items to choose from,

And r is the number of items we want to choose.

In this case,

Choose 3 cards from a deck of 52 cards, so we have:

\(^{52} C_{3}\) = 52! / (3! x (52-3)!)

       = 22,100

Therefore,

There are 22,100 total possible outcomes when drawing 3 cards from a standard deck of 52 cards.

Find the number of outcomes where all three cards are hearts:

To find the number of outcomes where all three cards are hearts,

we need to recognize that there are 13 hearts in a deck of 52 cards.

So, we can choose 3 of them to form our desired outcome.

Use the combination formula again:

⇒ \(^{13} C_{3}\)  = 13! / (3! x (13-3)!)

            = 286

Therefore,

There are 286 outcomes where all three cards are hearts.

Now find the probability that all three cards are hearts:

To find the probability,

We need to take the number of desired outcomes,

P(all three cards are hearts) = 286 / 22,100  

                                              = 0.0129

Therefore, the required probability = 0.0129 or 1.29%.

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Answer:

\(\boxed{5(x+1)}\)

Step-by-step explanation:

Associative Property

\(\boxed{a+(b+c)= (a+b)+c}\)

\(\boxed{a \cdot (b\cdot c)= (a \cdot b) \cdot c}\)

Commutative Property

\(\boxed{ b \cdot a = a \cdot b}\)

\(\boxed{a+b= b+c}\)

Distributive Property

\(\boxed{ a(b+c)= ab+ac }\)

\(\boxed{ a(b-c)= ab+ac }\)

\(2x + 8 + 3x - 3 =5x+5 = \boxed{5(x+1)}\)

The expression can be simplified through division of the exponential (power).

In the given expression, if the powers have the same base, we can actually divide the power.  In order to carry out the division of the exponential (power), we can subtract their exponential.

In the general form, a-m=1/am

As there are two different base terms x and y in the numerator and denominator, we will subtract the powers of x terms and powers of y terms.

Let us simplify the x terms,

x¹/₂÷x³/₄=x(1/2)-(3/4)  

Solving the powers,(½)–(¾)=(2/4)–(¾)=(2-3)/4=-1/4

x¹/₂÷ x³/₄=x(1/2)-(3/4)= x-1/4  

Let us simplify the y terms,

y⁻¹/₃÷y¹/₂= y(⁻¹/₃)-(¹/₂)

Solving the powers, (-1/3)-(1/2)=(-2/6)-(3/6)=-5/6

y⁻¹/₃÷y¹/₂= y(⁻¹/₃)-(¹/₂)=y-5/6

Putting the terms together gives us,

x-1/4 *y-5/6

It can be expressed as a fraction as a-m=1/am

x-1/4 *y-5/6=1/x1/4y5/6

Hence, x¹/₂ y⁻¹/₃ / x³/₄ y¹/₂= x-1/4 *y-5/6=1/x1/4y5/6

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The rate of change of the probability of having an accident with respect to BAC level at b = 0.08 is approximately 9.3707% per unit.

To evaluate P(0.08), we substitute b = 0.08 in the equation P(b) = e^(21.5b):

P(0.08) = e^(21.5*0.08) ≈ 0.4405

Therefore, the probability of having an accident at a BAC level of 0.08 is approximately 44.05%.

To evaluate P'(0.08), we take the derivative of P(b) with respect to b and then substitute b = 0.08:

P'(b) = 21.5e^(21.5b)

P'(0.08) = 21.5e^(21.5*0.08) ≈ 9.3707

Therefore, the rate of change of the probability of having an accident with respect to BAC level at b = 0.08 is approximately 9.3707% per unit increase in BAC level. In other words, if a person's BAC level increases by 1%, the probability of having an accident at b = 0.08 would increase by approximately 9.3707%.

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The ordered pair that corresponds to the given pair of parametric equations and t = 2 is (13, 0).

We are given the pair of parametric equations:

x = 4t + 5

y = -2t + 4

and we need to find the ordered pair (x,y) when t = 2.

Substituting t = 2 into the equations, we get:

x = 4(2) + 5 = 13

y = -2(2) + 4 = 0

Therefore, the ordered pair that corresponds to the given pair of parametric equations and t = 2 is (13, 0).

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Answer:

(x+2)(x+3)

Step-by-step explanation:

if you want the values of x

x = -2

x = -3

The definition of the negative of a matrix is;

The matrix formed as a result of the effect of multiplying each element in a matrix by -1 which means changing the signs of each element in a matrix.

The negative of a matrix is simply defined as the effect of multiplying each element in a matrix by -1 which means changing the signs of each element in a matrix.

For example, let us consider the matrix below;

\(\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right]\)

The negative of that matrix will be gotten by multiplying each term by -1 to get;

\(\left[\begin{array}{ccc}-1&-2&-3\\-4&-5&-6\\-7&-8&-9\end{array}\right]\)

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You can weigh 4 marbles against each other first, then if none are heavier, weigh 3 of the remaining marbles against each other, and if none of those are heavier, weigh the last two marbles against each other to find the heavier one.

An object's power of attraction toward the Earth is measured by its weight. It is the result of multiplying the object's mass by the acceleration caused by gravity.

A scale or balance is a tool used to determine mass or weight. These are also referred to as weight scales, mass scales, weight balances, and mass balances.

To weigh the 12 marbles and find out the heavier one,

This solution will always work because at each step, you are halving the number of marbles you need to check, so you will always be able to find the heavier marble in 3 weighings or less.

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The probability that the number 6 will appear between 150 and 200 times inclusively is 0.926.

In the given question, one thousand independent rolls of a fair die will be made.

We have to compute an approximation to the probability that the number 6 will appear between 150 and 200 times inclusively.

Let n=1000 are independent trails.

The probability of success is constant, p=1/6

The probability of success is not constant,

q=1-1/6 = 5/6

let X be the number of times the die shows a 6.

μ = np

μ = 1000*1/6

μ = 166.7

σ=√npq

σ=√1000*1/6*5/6

σ=√5000/36

σ=11.785

Now we used the correlation continuity for finding the probability that number 6 will appear between 150 and 200 times is

P(150≤X≤200)=P(X≤200)-P(X<150)

P(150≤X≤200)=P(Z≤(200+0.5-166.7)/11.785)-P(Z≤(150-0.5-166.7)/11.785)

P(150≤X≤200)=P(Z≤2.87)-P(Z≤-1.46)

P(150≤X≤200)=0.998-0.072

P(150≤X≤200)=0.926

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Answer:

1. 185.71% 2. 30.56%

Step-by-step explanation:

(1) Initial no of books = 14

Final no of books = 40

Increase in books = 40-14 = 26

\(\%\ \text{increase in books}=\dfrac{\text{increase in books}}{\text{initial no of books}}\times 100\\\\=\dfrac{26}{14}\times 100\\\\=185.71\%\)

(2) Initial points = 72

Final points = 50

Decrease in points = 72-50= 22

\(\%\ \text{decrease in points}=\dfrac{\text{decrease in points}}{\text{initial points}}\times 100\\\\=\dfrac{22}{72}\times 100\\\\=30.56\%\)

Hence, this is the required solution.

Answer:

C ≈ 25.13 ft

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = 2πr ( r is the radius ) , then

C = 2π × 4 = 8π ≈ 25.13 ft ( to 2 decimal places )

Answer:

y = .75x + .25

Step-by-step explanation:

I graphed it and expiramrntec with different slopes

Answer:

20hours

Step-by-step explanation:

Old Job hours = 54 -34 = 20 hours

We can conclude that there are no nontrivial clean pulsations for the given left-mounted beam with a simple support on the right.

To find the equation of clean pulsations for a left-mounted beam with a simple support on the right, we can use the differential equation that describes the deflection of the beam. Assuming the beam is subject to a distributed load and has certain boundary conditions, the equation governing the deflection can be written as:

d^2y/dx^2 + (chx)^2 * y = 0

Where:

y(x) is the deflection of the beam at position x,

d^2y/dx^2 is the second derivative of y with respect to x,

ch(x) is the hyperbolic cosine function.

To solve this differential equation, we can assume a solution in the form of y(x) = A * cosh(kx) + B * sinh(kx), where A and B are constants, and k is a constant to be determined.

Substituting this assumed solution into the differential equation, we get:

k^2 * (A * cosh(kx) + B * sinh(kx)) + (chx)^2 * (A * cosh(kx) + B * sinh(kx)) = 0

Simplifying the equation and applying the given identity (chx)^2 - (shx)^2 = 1, we have:

(A + A * chx^2) * cosh(kx) + (B + B * chx^2) * sinh(kx) = 0

For this equation to hold for all values of x, the coefficients of cosh(kx) and sinh(kx) must be zero. Therefore, we get the following equations:

A + A * chx^2 = 0

B + B * chx^2 = 0

Simplifying these equations, we have:

A * (1 + chx^2) = 0

B * (1 + chx^2) = 0

Since we are looking for nontrivial solutions (A and B not equal to zero), the expressions in parentheses must be zero:

1 + chx^2 = 0

Using the identity (sinx)^2 + (cosx)^2 = 1, we can rewrite this equation as:

1 + (1 - (sinx)^2) = 0

Simplifying further, we get:

2 - (sinx)^2 = 0

Solving for (sinx)^2, we find:

(sin x)^2 = 2

Since the square of the sine function cannot be negative, there are no real solutions to this equation. Therefore, we can conclude that there are no nontrivial clean pulsations for the given left-mounted beam with a simple support on the right.

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Answer:

what a confusing question?

Step-by-step explanation:

im guessing 3 feet

Answer:

75:25:100

Step-by-step explanation:

The random variable n is defined as the smallest integer value of k for which the sum of the first k random variables in the sequence is greater than or equal to the constant c.

We have a sequence of independent uniform [0,1] random variables, denoted as x1, x2, x3, and so on. We also have a fixed constant c, which belongs to the interval [0,1].
Now, we want to define a random variable called n using these terms. The random variable n represents the smallest integer value k, such that the sum of the first k random variables in the sequence (x1 + x2 + ... + xk) is greater than or equal to the constant c.

To illustrate this, let's break down the steps involved in finding the value of n:
1. Start with k = 1.
2. Calculate the sum of the first k random variables: (x1 + x2 + ... + xk).
3. If the sum obtained in step 2 is greater than or equal to c, then stop and assign the value of n as k.
4. If the sum obtained in step 2 is less than c, increment k by 1 and repeat steps 2 and 3.
5. Continue repeating steps 2 to 4 until we find the smallest k such that the sum is greater than or equal to c. Assign this value of k as n.

So, in summary, the random variable n is defined as the smallest integer value of k for which the sum of the first k random variables in the sequence is greater than or equal to the constant c.
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The next number in the given sequence is 126. it does not follow a simple arithmetic or geometric progression.

To determine the pattern and find the missing number in the sequence, let's analyze the given numbers and identify any recurring patterns or relationships between them.

Looking at the sequence, we can observe that it does not follow a simple arithmetic or geometric progression. However, there are some patterns we can identify to find the missing number.

First, let's consider the alternate numbers: 2, 3, 5, 28, 7, 82, and so on. These numbers do not follow a clear pattern, but they seem to be increasing in a somewhat irregular manner.

Next, let's consider the numbers in between the alternate numbers: 4, 10, 5, 11, 8, 29, and so on. These numbers also do not follow a straightforward pattern, but they seem to be related to the corresponding alternate numbers.

Now, if we observe carefully, we can notice that the numbers in between the alternate numbers are the squares of the corresponding alternate numbers. For example, 4 is the square of 2, 10 is the square of 3, 5 is the square of 5, and so on.

Based on this pattern, we can deduce that the missing number in the sequence should be the square of the next alternate number, which is 11.

Therefore, the missing number in the sequence is 11^2 = 121.

To verify our pattern, let's continue the sequence:

2, 4, 3, 10, 5, 5, 28, 11, 7, 8, 82, 29, 121

Now, let's observe the next alternate number: 7. The number in between the alternates should be the square of 7, which is 49. So, the next number in the sequence would be 49.

Continuing the sequence:

2, 4, 3, 10, 5, 5, 28, 11, 7, 8, 82, 29, 121, 49

Finally, let's consider the next alternate number, which is 8. The number in between the alternates should be the square of 8, which is 64. Thus, the next number in the sequence would be 64.

In conclusion, the missing number in the given sequence 2, 4, 3, 10, 5, 5, 28, 11, 7, 8, 82, 29, _ is 121. The next numbers in the sequence are 49 and 64, respectively.

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When a postal worker counts the number of complaint letters received by the united states postal service in a given day, the type of data collected is quantitative.

Quantitative data is data that can be measured and expressed in numbers. In this case, the number of complaint letters received by the United States Postal Service in a given day can be measured and expressed as a number.

Qualitative data, on the other hand, is data that cannot be measured or expressed in numbers. For example, the contents of the complaint letters would be qualitative data.

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Thus, the first procedure has a higher probability of accepting the lot than the second procedure, with a 0.90112 probability versus 0.87909.

The first procedure has a higher probability of accepting the lot. This can be calculated using the Binomial Distribution, which states that the probability of “k successes” in “n trials”, given a probability “p” of success, is given by the equation: \(P(X=k) = (nCr) p^k (1-p)^(n-k)\), where “r” is the number of successes, “n” is the number of trials, and “p” is the probability of success.

For the first procedure, n = 5, p = 0.06, and r = 0 or 1. Plugging these values into the equation, the probability of 0 or 1 successes is 0.90112.

For the second procedure, n = 10, p = 0.06, and r = 0, 1, or 2. Plugging these values into the equation, the probability of 0, 1, or 2 successes is 0.87909.

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Answer:

no

Step-by-step explanation:

hdjdjdnbdbdjddhhdhfhr r rjfnfn

Answer:

It is a function

Step-by-step explanation:

A linear function

\(x = y - 3\)

and

\(x = y - 4\)

Answer:

65/13

650/130

Step-by-step explanation:

6.5/1.3

times 10: 65/13

times 100: 650/130

The measurements of surface area ranked in order of significant figures, from fewest to greatest, are: 4=5<3<2=6=7<1.

The magnitude and direction of the car's acceleration relative to the x-axis is 26.1 m/s^2 towards the -x axis. The speed at which the ball hits the ground is approximately 41.6 m/s.

Regarding the acceleration of the car, the magnitude and direction can be determined using the equation vf^2 = vi^2 + 2ad, where vf is the final velocity (0 m/s since the car comes to an immediate stop), vi is the initial velocity (38.4 m/s), a is the acceleration, and d is the distance (28.3 m). By rearranging the equation and solving for a, the magnitude of the acceleration is 26.1 m/s^2. The direction of the acceleration is towards the -x axis.

For the ball dropped from a tower, the speed at which it hits the ground can be calculated using the equation v = sqrt(2gh), where v is the velocity, g is significant figures the acceleration due to gravity (approximately 9.81 m/s^2), and h is the height of the tower (88.3 m). By substituting the values into the equation, the speed of the ball hitting the ground is approximately 41.6 m/s.

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Gross profit is the profit that a business makes after the manufacturing and selling costs are subtracted from the total sales.

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