Help me with this question please

The domain of the function is (-∝,∝) and the range is (3,∝) .

We know that the given function is of the form \(y=4^x+3\\\) .

So the possible values of x or the domain will be all real values of x.

Now we know from the properties of indices that for all and any real value of x , \(4^x > 0\) so the value of y will always be greater than 3 .

For higher values of x the value of y will be higher.

So the range of the function will include all real values greater than 3

The incoming dataset that a function will accept is its domain in mathematics. Domain(f), where f stands for the operation, is another way to express it.

The relationship between the dependent variable y and the regression coefficient x defines the function

A value is said to be in the domain of a function f if it successfully facilitates the production of a sharp number y using another value for x.

So domain : {x | x∈(-∝,∝)}

range : {y | y∈ (3,∝)}

Hence the domain of the function is  {x | x∈(-∝,∝)} and the

range is {y | y∈ (3,∝)} .

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In order to show that show ∠KMT ≅ ∠RTL, we use the Angle-Angle (AA) similarity theorem to show triangle RLT is similar to triangle MLK.

Option C is correct.

In order to show that two angles in each triangle are congruent, then we can use the Angle-Angle (AA) similarity theorem to prove that the triangles are similar.

From the diagram above, we can see that ∠KMT and ∠MLK are vertical angles and therefore congruent.

We also see that ∠KMT and ∠RTL are alternate interior angles, which are congruent because the lines KT and RL are parallel.

Therefore, we have ∠KMT = ∠MLK = ∠RTL.

We have been able to use the AA similarity theorem to show that triangle RLT is similar to triangle KLM, since the two angles in each triangle are congruent.

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Answer:

15,000

Step-by-step explanation:

Answer:

Since each side of a square is the same, it can simply be the length of one side squared. If a square has one side of 4 inches, the area would be 4 inches times 4 inches, or 16 square inches.

Step-by-step explanation:

The value of angles h= 50, g =130, m= 92, k= 88.

What is an angle?

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

angle g = 130 (vertical opposite angle)

When two lines intersect, four angles are formed. There are two pairs of nonadjacent angles. These pairs are called vertical angles.

sum of angle on linear line = 180

130 +h= 180

h =180 -130

h = 50.

Similarly k is vertical angle to 88

k = 88,

m = 180 -88

m =92.

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B

Step-by-step explanation:

it would be a if the chance was 0.000 but it's 0.001 so there is a very very small chance of it happening

Answer:

Step-by-step explanation:

0.001 means 1/1000

The answer depends on what is being described.

If you are putting money into a lottery if you got odds of 1 in a 1000, you'd jump for joy at such good odds.

If you are putting money into the stock market and the chances of getting any kind of return is 1/1000, I think you'd start looking for something else to do.

That said, I think the answer you want is B, but I'm not fond of the question.

The measure of the arc is option (c) 140°

In geometry, an arc is a curved line that is a part of a circle's circumference. The measure of an arc can be calculated using the angle of the arc, which is measured in degrees.

In the case of EBC, the measure of the arc is 140°. This is because we can use the Angle-Side-Angle (ASA) congruence theorem, which states that two triangles are congruent if and only if two angles and the included side are equal.

In the case of EBC, we know that angle A equals 40° and angle C equals 90° so the only variable left is the measure of the arc, which is equal to 140°.

Therefore, the measure of EBC is 140°. This can be verified by drawing the triangle and measuring the arc with a protractor.

Therefore, option (c) is the right one.

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Complete Question:

What is the measure of arc  EBC when the values of Angle a nd c are 90 and 40 degree respectively.

a) 40°

b) 90°

c) 140°

d) 220°

Therefore, the standard deviation for the number of people with the genetic mutation in groups of 500 is approximately 6.726.

To find the standard deviation for the number of people with the genetic mutation in groups of 500, we can use the binomial distribution formula.

Given:

Probability of having the genetic mutation (p) = 0.09

Sample size (n) = 500

The standard deviation (σ) of a binomial distribution is calculated using the formula:

σ = √(n * p * (1 - p))

Substituting the given values:

σ = √(500 * 0.09 * (1 - 0.09))

Calculating the standard deviation:

σ ≈ 6.726 (rounded to three decimal places)

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A(n) efficient frontier is a set of points defining the minimum possible risk for a set of return values.

A(n) efficient frontier is a set of points defining the minimum possible risk for a set of return values.

It is a graphical representation of the optimal portfolio of investments that offers the highest expected return for a given level of risk or the lowest risk for a given level of expected return.

The efficient frontier is a key concept in modern portfolio theory, which seeks to maximize the returns of a portfolio while minimizing its risk.

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The area of the shaded region is given by\(\( A = \frac{(-1)^n}{4} \)\), where n represents the number of intersections with the x-axis.

To solve the integral and find the area of the shaded region, we'll evaluate the definite integral of \(\( \frac{1}{2} \sin 2\theta \)\) with respect to \(\( \theta \)\) over the given limits of integration.

The integral is:

\(\[ A = \frac{1}{2} \int_{\theta_1}^{\theta_2} \sin 2\theta \, d\theta \]\)

where \(\( \theta_1 = \frac{(2n-1)\pi}{4} \) and \( \theta_2 = \frac{(2n+1)\pi}{4} \)\) for integers n.

Using the double angle identity for sine \((\( \sin 2\theta = 2\sin\theta\cos\theta \))\), we can rewrite the integral as:

\(\[ A = \frac{1}{2} \int_{\theta_1}^{\theta_2} 2\sin\theta\cos\theta \, d\theta \]\)

Now we can proceed to solve the integral:

\(\[ A = \int_{\theta_1}^{\theta_2} \sin\theta\cos\theta \, d\theta \]\)

To simplify further, we'll use the trigonometric identity for the product of sines:

\(\[ \sin\theta\cos\theta = \frac{1}{2}\sin(2\theta) \]\)

Substituting this into the integral, we get:

\(\[ A = \frac{1}{2} \int_{\theta_1}^{\theta_2} \frac{1}{2}\sin(2\theta) \, d\theta \]\)

Simplifying the integral, we have:

\(\[ A = \frac{1}{4} \int_{\theta_1}^{\theta_2} \sin(2\theta) \, d\theta \]\)

Now we can integrate:

\(\[ A = \frac{1}{4} \left[-\frac{1}{2}\cos(2\theta)\right]_{\theta_1}^{\theta_2} \]\)

Evaluating the definite integral, we have:

\(\[ A = \frac{1}{4} \left(-\frac{1}{2}\cos(2\theta_2) + \frac{1}{2}\cos(2\theta_1)\right) \]\)

Plugging in the values of \(\( \theta_1 = \frac{(2n-1)\pi}{4} \) and \( \theta_2 = \frac{(2n+1)\pi}{4} \)\), we get:

\(\[ A = \frac{1}{4} \left(-\frac{1}{2}\cos\left(\frac{(2n+1)\pi}{2}\right) + \frac{1}{2}\cos\left(\frac{(2n-1)\pi}{2}\right)\right) \]\)

Simplifying further, we have:

\(\[ A = \frac{1}{4} \left(-\frac{1}{2}(-1)^{n+1} + \frac{1}{2}(-1)^n\right) \]\)

Finally, simplifying the expression, we get the area of the shaded region as:

\(\[ A = \frac{(-1)^n}{4} \]\)

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The coordinates of the image of the triangle ABC after the dilation with center (0,0) and a scale factor of 1/2 are:

A' = (1/2 * x₁, 1/2 * y₁)

B' = (1/2 * x₂, 1/2 * y₂)

C' = (1/2 * x₃, 1/2 * y₃)

What is triangle?

A triangle is a three-sided polygon with three angles. It is a fundamental geometric shape and is often used in geometry and trigonometry.

To find the image of triangle ABC after a dilation with center (0,0) and a scale factor of 1/2, we need to multiply the coordinates of each vertex by the scale factor.

Let's suppose that the coordinates of the vertices of the original triangle ABC are:

A = (x₁, y₁)

B = (x₂, y₂)

C = (x₃, y₃)

Then, the coordinates of the image of A, B, and C after the dilation are:

A' = (1/2 * x₁, 1/2 * y₁)

B' = (1/2 * x₂, 1/2 * y₂)

C' = (1/2 * x₃, 1/2 * y₃)

Therefore, the coordinates of the image of the triangle ABC after the dilation with center (0,0) and a scale factor of 1/2 are:

A' = (1/2 * x₁, 1/2 * y₁)

B' = (1/2 * x₂, 1/2 * y₂)

C' = (1/2 * x₃, 1/2 * y₃)

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The original price of the coat is 100 dollar.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a method by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

WE are given that price of a coat was reduced by 20%. two weeks later, it was reduced again by 25%.

Then the final price after the discounts was $60.

So if it reduced by 20% first time, then reduced 25% then we add them we get 45 and them 100-45 we get 55% .

55% of original price is 60 45% left and then

60+40=100

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Answer: they would have 216.06 square meters of grassy area left in the park

Step-by-step explanation: if you start with 150.04 and add 37.51 by removing trees and shrubs you would have 187.55 and then if you added 82.70 more square feet by removing the unused Picnic pavilion you would have 270.25 square meters of grassy area. Then lastly is you update the playground by reducing 54.19 square meters ( 270.25-54.19) you would get left with 216.06 square meters of grassy area :)

Well, it’s pretty obvious as the it‘s basically 23-5

Answer:

\( \frac{ log_{2}(11) }{3} \)

Step-by-step explanation:

\(3x = log_{2}(11) \)\(

x = \frac{ log_{2}(11) }{3} \)

So, the equation we could use to find Jeremy's age, j, if he is the younger man, is: j = x + 2, where x satisfies the equation x(x + 2) = 783.

An equation is a mathematical statement that asserts the equality of two expressions. In an equation, an expression is written on the left side of an equals sign (=), and another expression is written on the right side of the equals sign. The equals sign indicates that the two expressions have the same value.

Here,

Let's use algebra to solve this problem. We can start by representing Sam's age as x and Jeremy's age as x + 2, since they are consecutive odd integers. We know that the product of their ages is 783, so we can set up the following equation:

x(x + 2) = 783

We can simplify this equation by multiplying out the left side:

x² + 2x = 783

Now we have a quadratic equation in standard form. We can solve for x by using the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

In this case, a = 1, b = 2, and c = -783, so we can substitute these values into the formula:

x = (-2 ± √(2² - 4(1)(-783))) / 2(1)

Simplifying the expression under the square root, we get:

x = (-2 ± √(3136)) / 2

x = (-2 ± 56) / 2

So, we have two possible values for x:

x = 27 or x = -29

We can reject the negative value, since it does not make sense in the context of the problem. Therefore, we have:

x = 27

Now we can use this value to find Jeremy's age, which is x + 2:

j = x + 2

= 27 + 2

= 29

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The coordinate of the reflection of (8,3) is (8,-3).

In order to find the reflection of the coordinate, one basic rule must be kept in mind that both the original and reflected points are equidistant from their axis or point of reflection.

The given point is (8, 3).

Since the reflection of a point over x-axis means that both the points are equidistant from the x-axis.

Which implies that for a point (x,y), the reflection over x-axis is (x, -y).

Thus, for the point (8, 3), the coordinate of its reflection is (8, -3).

This is shown in the graph given below,

Hence, the coordinate of the reflection of the given point over x-axis is (8 , -3) and its graph has been shown clearly.

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Answer:

The answer is 0.42

Step-by-step explanation:

First we add all the item counts

9 + 12 + 7 = 28

then we divide the number of spoons by 28

12/28 = 0.42

Hope this helps :)

The probability that the selected silverware from the drawer is a spoon is 12/28 or 0.42.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

A silverware drawer contains 9 forks, 12 spoons, and 7 knives. The total number of items present in the drawer is,

\(n=9+12+7\\n=28\)

One piece of silverware is selected at random from the drawer. The drawer contains 12 spoons.

Thus, the probability that a spoon is selected from the drawer which contains 28 silverware is,

\(P=\dfrac{12}{28}\\P=0.42\)

Hence, the probability that the selected silverware from the drawer is a spoon is 12/28 or 0.42.

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Answer:

linear

Step-by-step explanation:

the ys go up constantly(brainliest please)

Answer:

your answer would be non linear

Fair dealing is a legal concept that allows for the limited use of copyrighted materials without obtaining permission from the copyright holder. However, the extent of fair dealing varies depending on the purpose and amount of the material being used.

In the case of making photocopies of a book in the library for personal research, fair dealing may allow for the copying of a section of the book for the purposes of research or private study, but permission would need to be obtained for copying the entire book. Fair dealing also allows for the making of a copy of a video for personal use at home, but not for distribution or public performance.

It is important to note that fair dealing does not allow for the copying of software without permission, as software is typically protected by licenses rather than copyright law. Additionally, making multiple copies of a work for personal use or research may not be considered fair dealing if it infringes on the rights of the copyright holder.

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Answer:

Using distance formula :

AB² = (5+1)² + (3-6)²

AB² = 36 + 9

AB² = 45

AB = 6.71 units

The sample size is less than 30, we cannot conclude that the sampling distribution of the sample mean is exactly normally distributed for n = 42.

To determine if the sampling distribution of the sample mean with sample sizes n = 17 and n = 42 is normally distributed, we need to check if the sample sizes are large enough for the Central Limit Theorem (CLT) to apply.

The Central Limit Theorem states that for a random sample with a sufficiently large sample size (typically n ≥ 30), the sampling distribution of the sample mean will be approximately normally distributed regardless of the shape of the population distribution.

For n = 17:

The standard error of the sample mean, denoted as SE, is calculated by dividing the population standard deviation (σ) by the square root of the sample size (n):

SE = σ / √n

SE = 5.8 / √17 ≈ 1.408

Since the sample size is less than 30, we cannot conclude that the sampling distribution of the sample mean is exactly normally distributed for n = 17.

For n = 42:

SE = 5.8 / √42 ≈ 0.893

In both cases, with sample sizes n = 17 and n = 42, the sample sizes are not large enough for the Central Limit Theorem to guarantee that the sampling distribution of the sample mean will be exactly normally distributed. However, for practical purposes, the sampling distributions can still be approximately normally distributed if the sample sizes are reasonably large and the population distribution is not heavily skewed or has extreme outliers.

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a. The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b. The probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c. Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

a) The three characteristics of this scenario that indicate we are working with Bernoulli trials are:

The experiment consists of a fixed number of trials (eight shots).

Each trial (shot) has two possible outcomes: hitting the target or missing the target.

The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b) To find the probability of hitting the 6th target (considered as a single trial), we can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

where:

P(X = k) is the probability of getting exactly k successes,

C(n, k) is the binomial coefficient or number of ways to choose k successes out of n trials,

p is the probability of success in a single trial, and

n is the total number of trials.

In this case, k = 1 (hitting the target once), p = 0.88, and n = 1. Therefore, the probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c) To find the probability that the first time hitting the target is not until the 4th shot, we need to consider the complementary event. The complementary event is hitting the target before the 4th shot.

P(not hitting until the 4th shot) = P(hitting on the 4th shot or later) = 1 - P(hitting on or before the 3rd shot)

The probability of hitting on or before the 3rd shot is the sum of the probabilities of hitting on the 1st, 2nd, and 3rd shots:

P(hitting on or before the 3rd shot) = P(X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3)

Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

Calculate these probabilities and sum them up to find P(hitting on or before the 3rd shot), and then subtract from 1 to find the desired probability.

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The area of a square can be found by using the following expression:

where "A" is the area and "l" is the length of each side of the square. The square on this problem has an area of 9 cm², so we can find the sides by replacing A for 9 on the expression above.

To solve it we need to take the square root on both sides of the equation.

Each side of the square has a length of 3 cm, so the sides are 3 cm x 3 cm.

To ensure that the function f(x) is continuous at every 'x', we need to make sure it's continuous at the point x = 3. For a function to be continuous, the left-hand limit, right-hand limit, and the function value at the point should all be equal. Let's evaluate the limits:

1. Left-hand limit (x < 3): lim(x->3-) f(x) = lim(x->3-) x^2 = 3^2 = 9
2. Right-hand limit (x ≥ 3): lim(x->3+) f(x) = lim(x->3+) 2ax = 2a(3) = 6a
3. Function value at x = 3: f(3) = 2a(3) = 6a

For f(x) to be continuous, the left-hand limit, right-hand limit, and function value at x = 3 must be equal:

9 = 6a

To solve for 'a', divide both sides by 6:

a = 9/6 = 3/2

So, the value of 'a' that makes f(x) continuous at every 'x' is 3/2.

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Answer:

c -3072 as you need to double frm 3 which is the first te and as -6 -12 -24 -48 -96 -192 -384 -768 -1536 and -3072.

Answer:

I can't see!

Step-by-step explanation:

If you can earn 8 percent on your money, the prize worth to you is: $76,812.50. To calculate the present value of the prize, we need to determine the current worth of receiving $1000 per month for 9 years, given an 8 percent annual interest rate.

This situation can be evaluated using the concept of the present value of an annuity. The present value of an annuity formula is used to find the current value of a series of future cash flows. In this case, the future cash flows are the $1000 monthly payments for 9 years. By applying the formula, which involves discounting each cash flow back to its present value using the interest rate, we find that the present value of the prize is $76,812.50.

This means that if you were to receive $1000 per month for 9 years and could earn an 8 percent return on your money, the equivalent present value of that prize, received upfront, would be $76,812.50.

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