⚠️⚠️Can someone answer both of these? PLEASE I WANNA FINISHJSKSLWLA ⚠️⚠️

Write an equation

Answer:

4 days

Step-by-step explanation:

Since it is 8 more than 4 times, take 24 because that is how many days away rays birthday is and subtract 8. So now we have 24-8 which is 16. Now divide 16 by 4 to get 4 which is how many days away janes birthday is. So the answer is 4 days.

It will take 36 seconds until animals are 156 yards apart.

Relative speed is speed of object with respect to each other. In relative speed:

There relative speed with respect to each other will be (A + B)

There relative speed with respect to each other will be (A - B) (given speed A is quantitatively greater than speed B).

________________________________________________________

Given

Direction of the animals with respect to each other is opposite.

Therefore, their relative speed will be (8 + 5) = 13 feet per second

This can be understood intuitively as well

if deer and beer are covering 8 feet and 5 feet in one second in opposite direction then the distance will increase between them.

distance increased between them in one second will be sum of 8 feet and 5 feet which is equal to 13 feet.

Thus, distance covered per second is nothing but speed. Here, this speed is relative to each other. Thus, 13 feet per second is the relative of each animal.

_______________________________________________

Now in problem of speed, distance and time.

\(\sf Time = \dfrac{Distance}{Speed}\)

Distance = 156 yards

one yard is equal to 3 feet

So, 156 yards is equal to 3 x 156 feet

156 yards in feet is 468 feet

Distance in feet  = 468 feet

Therefore,

\(\sf Time = \dfrac{468}{13} = 36 \ seconds\)

_________________________________________

Thus, It will take 36 seconds until animals are 156 yards apart.

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The minimum value of the function f(x) =0. 9x2+3. 4x-2. 4 is -3.77 and its parabolic curve is upward because of its minimum value.

Let's consider the equation of a function.

f(x) = \(0.9x^{2} + 3.4x -2.4\)

Now, divide each and every element and assume that a, b, and c are coefficients of the function given.

a: 0.9

b: 3.4

c: -2.4

The sign of the coefficient of a determines the exposure of the parabola. Since a >  0, the parabola is open upwards and has a minimum value.

We can find the "x" of the vertex using the following expression.

x(v) = -b/2a = -3.4/(0.9)

x(v) = -3.77

We can find the "y" of the vertex by replacing this x in the equation

y(v) = 0.9(-3.77)² + 3.4(-3.77) -2.4

y(v)  = -2.42

The minimum value of the function is -3.77

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The particles contain 5.199 mol. The result is obtained by dividing the number of particles by the Avogadro number.

Avogadro number is the number of particles contained in 1 mol of any substance. It is 6.022 × 10²³ particles/mol.

The number of particles of a substance can be expressed as

N = n × NA

Where

The number of particles of a substance is 3.131 × 10²⁴ particles. Find the number of moles!

With the Avogadro number, the number of moles would be

N = n × NA

3.131 × 10²⁴ = n × 6.022 × 10²³

n = (3.131 × 10²⁴) / (6.022 × 10²³)

n = 0.5199 × 10¹

n = 5.199 mol

Hence, there are 5.199 mol contained in the particles.

The answer is A.

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Answer:

Please refer to the attachment

According to the information, the null hypothesis is that 70% or fewer of the instructor's students have improved their driving distance by at least 20 yards. The alternative hypothesis is that more than 70% of the instructor's students have improved their driving distance by at least 20 yards. Based on the data provided, we can evaluate whether the instructor's claim is valid.

Accordign to the information we have to consider that the null hypothesis states that 70% or fewer of the instructor's students have improved their driving distance by at least 20 yards, while the alternative hypothesis suggests that more than 70% have seen such improvement.

According to the above, the claim's validity is assessed by comparing the observed data with the expected outcome under the null hypothesis. In this case, 138 out of 180 viewers reported an improvement. Statistical tests can be conducted to determine if this observed proportion significantly differs from the hypothesized proportion of 70% or fewer.

To conclude, if the test results reject the null hypothesis, there is evidence to support the claim; otherwise, the claim cannot be validated.

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No, the instructor's claim is NOT valid. See   the explanation below.

To   test the hypothesis, we can use a z- test.

z = (p - p₀) / σ

Where

σ = √(p₀(1 - p₀) / n)

where:

Since p  =138/180

= 0.7667.

p₀=0.7. The sample size is n=180.

z = (0.7667 - 0.7) / √(0.7(1 - 0.7) / 180)

= 1.95277604597

≈ 1.92

Since the p-value for a z-score of 1.92 is 0.054, we can reject the null hypothesis.

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Answer:

X = 26

Step-by-step explanation:

So we know that a straight line equals 180º and we're given both equations. So you just have to set both equations equal to 180. It should look like:

2(x + 15) + (3x + 20) = 180

Use distributive property on the first equation

2(x + 15) = 2x + 30 so now your equation looks like 2x + 30 + 3x + 20 = 180

Add like terms

2x + 30 + 3x + 20 → 2x + 3x = 5x → 30 + 20 = 50

Your equation should look like

5x + 50 = 180

Subtract 50 from both sides, your goal now is to get x by itself

180 - 50 = 130

Divide both sides by 5. 130/5 = 26

X = 26

So now the equations added up should equal 180º. Just plug 26 in to x to solve.

2(26 + 15) + (3 x 26 + 20) = 180

Answer:

ok yes

Step-by-step explanation:

The number of games it will take until they tie in points scored if they continue at the same rate is;

7 games.

We are told that Bill averages 10 points a game and has 110 points for the season.

Thus, number of games a season it will take bill to reach 110 points is; 110/10 = 11 games

Aaron averages 12 points per game and has 96 points for the season. Thus, number of games a season it will take bill to reach 96 points is;

96/12 = 8 games.

Now, let the additional number of games to be played for them to have the same points be x. Thus;

110 + 10x = 96 + 12x

12x - 10x = 110 - 96

2x = 14

x = 14/2

x = 7

In conclusion, the additional number of games it will take for Bill and Aaron to have the same number of points is 7 games.

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The intrinsic value of the stock is $47.80.

The intrinsic value of a stock is calculated using the dividend discount model (DDM).

The DDM formula is as follows:

Dividend / (Required Rate of Return - Dividend Growth Rate)

Given the dividend stream of $2.65, $5.15, and $4, we must first calculate the dividend growth rate.

The dividend growth rate is computed using the formula below:

Dividend Growth Rate = (Dividend in year 2 - Dividend in year 1) / Dividend in year 1= ($5.15 - $2.65) / $2.65= 94.34%

We are given that the dividends will begin declining at a rate of 7% for the foreseeable future.

As a result, we must decrease the dividend growth rate from 94.34% to 7%.

Next, we can now solve for the intrinsic value of the stock using the following equation:

Dividend / (Required Rate of Return - Dividend Growth Rate)Initial Dividend = $2.65

Dividend in year 1 = $5.15

Dividend in year 2 = $4

Required rate of return = 14%

Dividend growth rate = 7%

When we plug these values into the formula, we get:

2.65 / (0.14 - 0.07) + 5.15 / (1.14) + 4 / (1.14)²= $47.80

Therefore, the intrinsic value of this stock is $47.80 when the required return is 14%.

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Answer:

64822

Step-by-step explanation:

Half-life model:

            \(P=P_o* \left(\frac{1}{2}\right)^{\frac{t}{D}}\)

\(P_o\) is the initial value, D is the time taken for the quantity to reduce half-life and t is the given time period.

       \(\sf P_o = 259,288 \ grams\\\\D = 1 \ hour\\\\t = 2 \ hours\)

            \(P = 259,288*(\frac{1}{2})^\frac{2}{1}\\\\P = 259,288*(\frac{1}{2})^2\\\\P = 259,288*\frac{1}{4}\\\\P = 64822\)

Answer:

Step-by-step explanation:  i think the answer is A

Answer:

reflection

Step-by-step explanation:

its flipping over the y axis therefore a reflection

sorry if this is wrong :)

The expressions which are equivalent to 35 + 30s - 45t are:

5(7+6s−9t)

(−35−30s+45t)×(−1)

The correct answer options are options B and C

An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

here, we have,

We have to determine equivalent expression:

35 + 30s - 45t

Check all options

A. 7⋅(5+30s−45t)

= 35 + 210s - 315t

False

B. 5(7+6s−9t)

= 35 + 30s - 45t

True

C. (−35−30s+45t)×(−1)

= 35 + 30s - 45t

True

D. 10×(3.5+3s−4.5)

= 35 + 30s - 45

False

E. ( 35/2 - 15s + 45/2t) ⋅ (-2)

= (17.5 - 15s + 22.5t) (-2)

= -35 + 30s - 45t

False

Therefore, the equivalent expression is an expression which has an equal value to each other.

Complete question:

Which expressions are equivalent to 35 + 30s - 45t?

A. 7⋅(5+30s−45t)

B. 5(7+6s−9t)

C. (−35−30s+45t)×(−1)

D. 10×(3.5+3s−4.5)

E. ( 35/2 - 15s + 45/2t) ⋅ (-2)

choose 2 answers

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The statement that is TRUE based on the given facts is that the customer's fixed income portfolio has experienced a greater decline in value than the decrease in the Consumer Price Index (CPI).

To elaborate, the customer's fixed income portfolio has dropped by 5% over the past 4 years. This means that the value of their portfolio has decreased by 5% compared to its initial value. On the other hand, the Consumer Price Index (CPI) has dropped by 2% during the same period. The CPI is a measure of inflation and represents the average change in prices of goods and services.

Since the customer's portfolio has experienced a decline of 5%, which is larger than the 2% drop in the CPI, it indicates that the value of their portfolio has decreased at a higher rate than the general decrease in prices. In other words, the purchasing power of their portfolio has been eroded to a greater extent than the overall decrease in the cost of goods and services measured by the CPI.

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The probability of success, p, is the same for each trial. Each outcome is either a success (P) or a failure (Q). The correct option is A.

Independence is a fundamental notion in probability theory, as in statistics and the theory of stochastic processes.

You should perform x trials until you observe a success.

We have given that,

There are exactly two possible outcomes success and failure.

We have to determine the following is NOT a common characteristic of a binomial distribution.

By process of elimination:-

A binomial experiment is a statistical experiment that must meet certain requirements

All trials are independent.

There are a fixed number of n trials.

The probability of success, p, is the same for each trial.

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The equivalent expression of 25 - 64 are "a), b) and c)"

The given expression is:

25 - 64

To find, the equivalent expressions are:

a) 25 + 40x - 40x - 64

=  25 - 64, is the equivalent expression.

b) 25 + 13x - 13x - 64

=  25 - 64, is the equivalent expression.

c) (5 + 8)(5 - 8)

Using the algebraic identity,

(a + b)(a - b) =

=

=  25 - 64, is the equivalent expression.

d) ( + 13)( - 13)

Using the algebraic identity,

(a + b)(a - b) =

=

=   - 169, is not a equivalent expression.

e)

Using the algebraic identity,

,  is not a equivalent expression.

∴ The equivalent expression of 25 - 64 are "a), b) and c)".

Answer: option A, B, C are equivalent to \(25x^4-64\).

We check each option by simplifying:

A) \(25x^4 + 40x - 40x - 64 = 25x^4-64\).

B) \(25x^4 + 13x - 13x - 64 = 25x^4-64\)

C) \((5x^2 + 8)(5x^2 - 8)=(5x^2)^2-8^2=25x^4-64\)

D) \((x^2 + 13)(x^2 - 13)=(x^2)^2-13^2=x^4-169\)

E) \((5x^2 - 8)^2=(5x^2)^2-2(5x^2)(8)+8^2=25x^4-80x^2+64\).

So option A, B, C are equivalent to \(25x^4-64\).

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The probability that all the men sit together to the right of all the women is 0.142857.

To find the probability that all the men sit together to the right of all the women, we need to use the concept of permutations and combinations.

First, we need to find the total number of ways that the people can be seated. If there are n people, then the total number of ways they can be seated is n! (n factorial).

Next, we need to find the number of ways that all the men can sit together to the right of all the women. To do this, we can treat the group of men as one unit and the group of women as another unit. If there are m men and w women, then there are (m+w-1)! ways to arrange the two groups.

Finally, we need to find the number of ways to arrange the men within their group and the women within their group. There are m! ways to arrange the men and w! ways to arrange the women.

So the probability that all the men sit together to the right of all the women is:

P = (m+w-1)! * m! * w! / n!

Using this formula, we can plug in the values for m, w, and n to find the probability.

For example, if there are 3 men and 4 women, then the probability would be:

P = (3+4-1)! * 3! * 4! / 7! = 6! * 3! * 4! / 7! = 0.142857

So the probability that all the men sit together to the right of all the women is 0.142857.

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This equation describes the depth of the water at this location t hours after midnight.

Height is a measurement of vertical distance or length, typically from the base of an object or surface to the top of that object or surface. It is often used to describe the distance from the ground to the top of a person or animal, or the distance from the floor to the ceiling of a room or building. Height is usually measured in units such as feet, inches, meters, or centimeters. It is an important physical characteristic that can affect various aspects of a person's life, including their ability to participate in certain sports or activities, their appearance, and their overall health and well-being.

Let h(t) be the height of the water at time t hours after midnight.

At low tide (t=0), the height of the water is 5.4 feet.

At high tide (t=6), the height of the water is 11.8 feet.

Therefore, the water level changes by (11.8 - 5.4) = 6.4 feet over a period of 6 hours.

To find the rate of change of the water level, we can divide the change in height by the time taken:

rate of change = (11.8 - 5.4) / 6 = 1.06667 feet per hour

Using the point-slope form of the equation of a line, we can write:

\(h(t) - 5.4 = 1.06667t\)

Simplifying, we get:

\(h(t) = 1.06667t + 5.4\)

This equation describes the depth of the water at this location t hours after midnight.

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To draw a rectangle in the coordinate plane to model the swimming pool, we can connect points A and D to form the longer side of the rectangle and connect points B and C, where C is the reflection of A across the y-axis, to form the shorter side of the rectangle. The length of the longer side is the distance between A and D, which is twice the y-coordinate of A. The length of the shorter side is the distance between B and C, which is twice the x-coordinate of B.

To calculate the area of the swimming pool, we multiply the length and width of the rectangle. The length is twice the y-coordinate of A, which is 2 x 7 = 14 meters. The width is twice the x-coordinate of B, which is 2 x 3 = 6 meters. Therefore, the area of the swimming pool is 14 x 6 = 84 square meters.

In conclusion, we can model the swimming pool as a rectangle in the coordinate plane by connecting points A, B, C, and D. The area of the swimming pool can be calculated by multiplying the length and width of the rectangle, which is 84 square meters.

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The degree measure of angle A is 90 degrees if the measure of angle A is three times as big as the measure of angle C and the measure of angle B is 30 degrees bigger than the measure of angle C.

Let x be the measure of angle C in degrees.

According to the problem statement, angle A is three times as big as angle C, measuring 3x degrees.

Angle B is 30 degrees bigger than angle C, so its measure is x + 30 degrees.

The sum of the measures of the angles in a triangle is always 180 degrees so that we can write:

A + B + C = 180

Substituting the expressions we found for the angles in terms of x, we get:

3x + (x + 30) + x = 180

Simplifying and solving for x, we get:

5x + 30 = 180

5x = 150

x = 30

Therefore, angle C has a measure of 30 degrees, angle B has an estimate of 30 + 30 = 60 degrees, and angle A has a measure of 3(30) = 90 degrees.

So the degree measure of angle A is 90 degrees.

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The value of p is -4 in the linear equation in one variable 4 - 3p = -5p - 24 the answer is -14.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The linear equation in one variable is:

4 - 3p = -5p - 24

After solving:

5p - 3p = -24 - 4

2p = -28

p = -28/2

p = -14

Thus, the value of p is -4 in the linear equation in one variable 4 - 3p = -5p - 24 the answer is -14.

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Answer:

2(1296-676)

2( 620)

The answer is 1240

Answer:

1240

Step-by-step explanation:

\(2*(36^{2}-26^{2} )\)

\(36^{2}\) = 1296

\(26^{2}\) = 676

2*(1296-676)

2*(620)

1240

Alpha for this confidence interval is approximately 0.021 when rounded to 3 decimals.

We can follow these steps:

Determine the z-score that corresponds to the given margin of error.

Use the z-score to find the alpha level.

Step 1: Determine the z-score
We know the margin of error (M) formula is:

M = z * (population standard deviation / sqrt(sample size)).

We are given M = 0.708219250861584, population standard deviation = 1.92, and sample size = 31. We need to find the z-score.

0.708219250861584 = z * (1.92 / √(31))
To solve for z, divide both sides by (1.92 / √(31)):

z = 0.708219250861584 / (1.92 / √(31))
z ≈ 2.036

Step 2: Use the z-score to find the alpha level

A z-score of 2.036 corresponds to an alpha level of 0.042 (which you can find using a z-table). Since the confidence interval is two-tailed, we need to divide the alpha by 2:

Alpha (α) = 0.042 / 2
α ≈ 0.021

So, the alpha for this confidence interval is approximately 0.021 when rounded to 3 decimals.

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A cluster sample will: b. Seek views from a homogeneous group in the population

A cluster sample is a type of sampling method where the entire population is divided into groups, or clusters, and a random sample of these clusters are selected for the study. Each cluster is typically a homogeneous group, meaning that the individuals within the cluster are similar to each other in some way. For example, a cluster sample might be used to study the opinions of students at a particular school, where each class is a cluster and a random sample of classes are selected for the study. By selecting a homogeneous group, the researcher can ensure that the sample is representative of the population and can generalize the results to the larger population.

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The two-tailed test seeks evidence that the population parameter

(1) is not equal to the population parameter (2).

In a two-sample hypothesis test, a two-tailed test is employed to determine if there is evidence that the population parameter (1) differs from the population parameter (2).

This test is useful when we want to examine whether the two populations have significantly different means, proportions, or other relevant parameters.

The two-tailed test considers two possible alternative hypotheses: the population parameter (1) is either greater than the population parameter (2), or it is smaller than the population parameter (2). By considering both directions of the difference, we can evaluate the possibility of a significant difference in either direction.

In a two-tailed test, the null hypothesis assumes that the population parameters (1) and (2) are equal. The alternative hypothesis, on the other hand, states that there is a significant difference between the two population parameters. By conducting the test, we gather evidence to either support or reject the null hypothesis.

To perform a two-tailed test, we follow a standardized process. We calculate the test statistic, such as the t-statistic or z-statistic, and compare it to the critical value(s) from the appropriate distribution. If the test statistic falls in the rejection region, we reject the null hypothesis and conclude that there is evidence of a significant difference between the population parameters.

Hypothesis testing, specifically two-sample hypothesis testing, can provide a deeper understanding of statistical analysis. By exploring the various types of tests, their assumptions, and applications, researchers and analysts can make informed decisions based on reliable evidence. Additionally, understanding the nuances of hypothesis testing contributes to the development of robust experimental designs and accurate interpretation of results.

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x = 58.62 feet

y = 85.3 feet

Given that,

The cost of exterior walls is $140 per linear foot.

The cost of interior walls is $100 per linear foot.

  xy = 5000

⇒ y = 5000/x

For the exterior walls, we have 2(x + y)(110)

For the interior wall, we have 100x

The cost function = C

⇒ C = 2(x + y)(110) + 100x

⇒ C = 220(x + y) + 100x

      = 220x + 240y + 100x

      = 320x + 240y

Recall that y = 5000/x

C = 320x + 220(5000/x)

C = 320x + 1100000/x

Differentiate C with respect to x

C'(x) = 320 - 1100000/x²

       = (320x² -1100000) / x²

To minimize cost

C'(x) = 0

(320x² -1100000) / x² = 0

320x² -1100000 = 0

⇒ 320x² = 1100000

⇒ x² = 1100000/320

⇒ x = √1100000/320

⇒ x = 58.62 feet

Recall that y = 5000/x

y = 5000/58.62

y = 85.3 feet

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Answer:

v=20π ft/s

Step-by-step explanation:

Given:

Distance from the security car to the movie theater, D=25 ft

Distance of the reflection from the car, d=30 ft

Speed of rotation of the strobe lights, 2 rev/s

To find the speed at which the reflection of the security strobe lights is moving along the wall of the movie theater, we need to calculate the linear velocity of the reflection when it is 30 ft from the car.

We can start by finding the angular velocity in radians per second. Since the strobe lights rotate at 2 revolutions per second, we can convert this to radians per second.

ω=2πf

=> ω=2π(2)

=> ω=4π rad/s

The distance between the security car and the reflection on the wall of the theater is...

r=30-25= 5 ft

The speed of reflection is given as (this is the linear velocity)...

v=ωr

Plug our know values into the equation.

v=ωr

=> v=(4π)(5)

∴ v=20π ft/s

Thus, the problem is solved.

The speed of the reflection of the security strobe lights along the wall of the movie theater is 2π ft/s.

To solve this problem, we can use the concept of related rates. Let's consider the following variables:

x: Distance between the security car and the movie theater wall

y: Distance between the reflection of the security strobe lights and the security car

θ: Angle between the line connecting the security car and the movie theater wall and the line connecting the security car and the reflection of the strobe lights

We are given:

x = 25 ft (constant)

y = 30 ft (changing)

θ = 2 revolutions per second (constant)

We need to find the speed at which the reflection of the security strobe lights is moving along the wall (dy/dt) when the reflection is 30 ft from the car.

Since we have a right triangle formed by the security car, the movie theater wall, and the reflection of the strobe lights, we can use the Pythagorean theorem:

x^2 + y^2 = z^2

Differentiating both sides of the equation with respect to time (t), we get:

2x(dx/dt) + 2y(dy/dt) = 2z(dz/dt)

Since x is constant, dx/dt = 0. Also, dz/dt is the rate at which the angle θ is changing, which is given as 2 revolutions per second.

Plugging in the known values, we have:

2(25)(0) + 2(30)(dy/dt) = 2(30)(2π)

Simplifying the equation, we find:

60(dy/dt) = 120π

Dividing both sides by 60, we get:

dy/dt = 2π ft/s

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