Which point represents the x-intercept of this exponential function?

The equation that best represents the set-up is (d) 9^2 + x^2 = 16^2

The complete question is in the image

The value of x is calculated using the following Pythagoras theorem

16^2 = x^2 + 9^2

Rewrite as:

9^2 + x^2 = 16^2

Hence, the equation that best represents the set-up is (d) 9^2 + x^2 = 16^2

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Answer: 68

Step-by-step explanation:

100-32 = 68

Answer:

\(\boxed{225}\)

.

Step-by-step explanation:

Arithmetic sequence

\(Un = a + (n - 1)b\)

.

First step, find its difference

\(b = U_2 - U_1\)

\(b = 6 - 3\)

\(b = 3\)

.

So, we get

\(a = 3\)

\(b = 3\)

.

Finally, Let's find the 75th term

\(U_{75} = 3 + (75 - 1)3\)

\(U_{75} = 3 + (74)3\)

\(U_{75} = 3 + 222\)

\(U_{75} = 225\)

Answer:

225 is the answer

Step-by-step explanation:

hope this help

Answer:

\(3.844 * 10 ^ 5\)

Step-by-step explanation:

Scientific notation is of the form \(N * 10^a\). Where N is a number \(1 \leq N < 10\).

So in this case we need to move the decimal place to the left, in order to create such a number.

By moving the decimal place to the left we get: 3.84400

We moved the decimal to the left 5 times, so our value of \(a = 5\) and \(N = 3.84400\)

Therefore scientific notation is: \(3.844 * 10 ^ 5\)

Answer:

A. F has a greater y-intercept than G.

Step-by-step explanation:

Khan Academy said that was the correct answer choice.

Answer:

Step-by-step explanation:

Answer: 79%

Step-by-step explanation:

min —> 30 mins because half an hour is 30 mins.

(1 - 0.5)^30 = .214638..

1 - .214638 = .78536

round that to the closest percent equals 79%

Answer:

believe in yourself and then you can do it!

Step-by-step explanation:

Answer:

The slope is: 3.0 or just 3 and the y-intercept is 2

Step-by-step explanation:

Answer:

it is 45 bc i think it is bc howugontellme

Answer: It is m<BAE or measure of angle BAE

Step-by-step explanation:

1. Based by the m<CAE, 135 - 45 equals to 90, so that is not an obtuse angle, m<BAD is the same thing, so those 2 aren't it

2. m<CAD is 65, which is way too low for an obtuse angle, and m<DAE is way too small as well since it's angle is 25, making m<BAE a correct answer

Women are paid approximately 80 percent of what men are paid.

Multiple studies have been carried out to discuss the income inequality prevailing in United States. Pay inequity has been found as a corollary of the income inequality.

The women and men has different pay levels for the same work at certain work places. Income inequality is considered as an injustice and to put forward this issue may organizations are trying.

Hence according to multiple studies, including those by the American association of university women and the pew research center, on average, women are paid approximately 80 percent of what men are paid.

We can see the appreciable difference in the pay levels of women and men prevailing.

As a result several laws has been passed recently to have a solution for this injustice.

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a)

This is a geometric sequence, this means that each value of the sequence is multiplied by the common ratio to determine the next number.

For the sequence {3,-15,75}

Divide one of the given numbers by the number before it on the sequence to determine the common ratio

The common ratio for this sequence is r=-5

b)

a is the first value of the sequence

r is the common ratio

k is the place on the sequence of the required value

You can calculate said value using

c)

For

a=3

r=-5

k=5

The value fo the sequence is

A) The probability is approximately 0.257. B) The expected number of customers is 5, and the standard deviation is approximately 1.71.

A) The number of customers who qualify for the membership follows a binomial distribution with parameters n = 20 and p = 0.1. The probability of having between 2 and 5 (inclusive) customers who qualify for the membership can be calculated by summing the probabilities of having exactly 2, 3, 4, or 5 customers who qualify for the membership.

Using the binomial probability formula or a binomial probability table, we find that this probability is approximately 0.257.

B) The expected number of customers who qualify for the membership in a randomly selected sample of 50 customers can be calculated using the formula E(X) = np, where X is the number of customers who qualify for the membership.

Thus, E(X) = 50 × 0.1 = 5. The variance of X is given by Var(X) = np(1-p), so the standard deviation is given by the square root of the variance, which is approximately 1.71.

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A solution to the given system of linear equations is (2, 6).

In order to to graph the solution to the given system of equations on a coordinate plane, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;

y = 4x - 2      ......equation 1.

y = 1/2(x) + 5  ......equation 2.

Next, we would use an online graphing calculator to plot the given system of equations as shown in the graph attached below.

Based on the graph (see attachment), we can logically deduce that the solution to the given system of equations is the point of intersection of the lines on the graph representing each of them, which lies in Quadrant I and it is given by the ordered pair (2, 6).

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Δy=v-0.32 and dy = -0.32 .Δy and dy are both used to represent changes in the dependent variable y based on changes in the independent variable x.

Δy represents the change in y (the dependent variable) resulting from a specific change in x (the independent variable). In this case, y = x^4 + 7, x = -2, and Δx = dx = 0.01. Therefore, we need to calculate Δy and dy based on these values.

To calculate Δy, we substitute the given values into the derivative of the function and multiply it by Δx. The derivative of y = x^4 + 7 is dy/dx = 4x^3. Plugging in x = -2, we have dy/dx = 4(-2)^3 = -32. Now, we can calculate Δy by multiplying dy/dx with Δx: Δy = dy/dx * Δx = -32 * 0.01 = -0.32.

On the other hand, dy represents an infinitesimally small change in y due to an infinitesimally small change in x. It is calculated using the derivative of the function with respect to x. In this case, dy = dy/dx * dx = 4x^3 * dx = 4(-2)^3 * 0.01 = -0.32.

Therefore, both Δy and dy in this context have the same value of -0.32. They represent the change in y corresponding to the change in x, but Δy considers a specific change (Δx), while dy represents an infinitesimally small change (dx) based on the derivative of the function.

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Assuming the same percentage rate of population growth from 2018 to 2024 as from 2000 to 2018, the world's population in 2024 would be approximately 9.23 billion.

To calculate this, we first need to find the annual percentage rate of growth from 2000 to 2018. We can do this using the formula:

\(Annual growth rate = (final population / initial population)^{1 / number of years} - 1\)

Plugging in the values, we get:

\(Annual growth rate = (7.504 billion / 6.081 billion)^{1 / 18} - 1\)

Annual growth rate = 1.20%

Now we can use this growth rate to estimate the population in 2024. To do this, we can use the formula:

Population in 2024 = 7.504 billion * (1 + annual growth rate)^(number of years from 2018 to 2024)

Plugging in the values, we get:

Population in 2024 = 7.504 billion * (1 + 0.0120)^(6)

Population in 2024 ≈ 9.23 billion

Therefore, if the world's population continues to increase at the same percentage rate from 2018 to 2024 as it did from 2000 to 2018, the world's population would have been approximately 9.23 billion in 2024.

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The probability of having a z-score greater than 0.19 is calculated to be 0.4214.

The probability of having a z-score less than 0.51 is calculated to be 0.6950.

The probability of having a z-score between -2.36 and 1.84 is calculated to be 0.9857.

The probability values can be calculated using the standard normal distribution table, which provides the cumulative probabilities for a standard normal random variable, also known as z-score. In the first problem, we need to find the probability that z is greater than 0.19. Looking up the value in the table, we find that P(z>0.19) = 0.4214.

For the second problem, we need to determine the probability that z is less than 0.51. By referencing the table, we find P(z<0.51) = 0.6950.

In the third problem, we are asked to calculate the probability that z lies between -2.36 and 1.84. To find this, we subtract the cumulative probability of z being less than -2.36 from the cumulative probability of z being less than 1.84. From the table, we get P(-2.36<z<1.84) = 0.9857.

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Answer:

Complementary angles add up to 90 degrees and Supplementary angles add up to 180 degrees.

Hope this helps!

Answer:

y= -9+√122, or -9 - √122

Step-by-step explanation:

You have to solve the equation for y to find each variable of the quadratic and applying the quadratic formula.

after solved, I got the answer as decimal,

y = 2.0453610.....

i simpler form : y = 2.05

Also, an answer can be y= -9+√122, or -9 - √122

Using the inscribed angle theorems, the measure of the indicated angles are:

1. m∠BOA = 26°

2. m∠BDA = 13°

3. m∠BCA = 13°

Based on the inscribed angle theorem, the following relationships are established:

Given:

Intercepted arc BA = 26°

1. ∠BOA is central angle

Thus:

m∠BOA = 26° (inscribed angle theorems)

2. ∠BDA is inscribed angle.

m∠BDA = 1/2(30) = 13° (inscribed angle theorems)

3. m∠BCA = m∠BDA = 13° (inscribed angle theorems)

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The triangles ABC and XYZ are congruence by the AAS congruence rule.

Given, two triangles ABC and XYZ

now, ∠A = ∠X

∠B = ∠Y

BC = YZ

so, on using the AAS Congruence rule

ΔABC ≅ ΔXYZ

therefore, the triangles ABC and XYZ are congruence by the AAS congruence rule.

Hence, the triangles ABC and XYZ are congruence by the AAS congruence rule.

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Answer: 1/2 is closer to zero

Step-by-step explanation: 7/8 is greater than 1/2 and 1 is greater than 7/8

Option (c) 26.7% of the global oceans are Marine Protected Areas (MPAs). Marine Protected Areas (MPAs) are designated areas in the oceans that are set aside for conservation and management purposes.

They are intended to protect and preserve marine ecosystems, biodiversity, and various species. MPAs can have different levels of restrictions and regulations, depending on their specific objectives and conservation goals.

As of the current knowledge cutoff in September 2021, approximately 26.7% of the global oceans are designated as Marine Protected Areas. This means that a significant portion of the world's oceans has some form of protection and management in place to safeguard marine life and habitats. The establishment and expansion of MPAs have been driven by international agreements and initiatives, as well as national efforts by individual countries to conserve marine resources and promote sustainable practices.

It is worth noting that the percentage of MPAs in the global oceans may change over time as new areas are designated or existing MPAs are expanded. Therefore, it is important to refer to the most up-to-date data and reports from reputable sources to get the most accurate and current information on the extent of Marine Protected Areas worldwide.

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Answer:

Step-by-step explanation:

2.      4            

       --

   3) 14

     - 12

        2

3.  

          3

         --

   8)  29

     -  24

          5

The occurrence of event B (the first roll coming up as 3) affects the probability of event A (the sum of the two rolls being 8), indicating that the events are dependent.

To determine whether events A and B are independent, we need to analyze their relationship based on the given information.

Event A: The sum of the two rolls is 8.

Event B: The first roll comes up 3.

To assess independence, we need to consider whether the outcome of one event affects the probability of the other event occurring. In this case, we can break down the probabilities for each event individually and then compare them to the joint probability.

Let's calculate the probabilities for each event:

Event A:

To get a sum of 8 on two rolls of a balanced die, we can have the following combinations: (2, 6), (3, 5), (4, 4), (5, 3), (6, 2). There are a total of 36 possible outcomes when rolling a die twice (6 possibilities for the first roll and 6 possibilities for the second roll).

Therefore, the probability of event A is P(A) = 5/36.

Event B:

To get a first roll of 3, there is only one possible outcome: (3, x), where x can be any number from 1 to 6.

Therefore, the probability of event B is P(B) = 1/6.

To determine whether the events are independent, we need to compare the joint probability (the probability of both events occurring simultaneously) with the product of their individual probabilities.

Let's calculate the joint probability:

The possible outcome for both events is (3, 5), where the first roll is 3 and the sum is 8. Therefore, the joint probability is P(A and B) = 1/36.

If events A and B are independent, the joint probability should be equal to the product of their individual probabilities:

P(A) * P(B) = (5/36) * (1/6) = 5/216.

Comparing the joint probability (1/36) with the product of individual probabilities (5/216), we can see that they are not equal. Therefore, events A and B are not independent.

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Question

Determine whether the events A and B are independent A balanced die is rolled twice. Event A: The sum of the two rolls is 8 Event B: The first roll comes up 2 A. False B. True