Select the correct answer.

Which expression in factored form is equivalent to this expression?

Answer:

Step-by-step explanation:

P=200000

P x .15 =x (30000)

2x=y (60000)

P + y= (200000+60000) 260000

Answer:

The equation is :

                  \(A = 200000 ( 1 + 0.15)^2\)

Step-by-step explanation:

Let population in 2 years be A

Current  population be P = 200,000

Rate of increase, r = 15% = 0.15

Time, t = 2years

Therefore,

            \(A= P(1 + r)^t\)

           \(A = 200000 ( 1 + 0.15)^2\)

              \(=264500\)

Population after 2 years will  be  264,500

Answer:

2/3 i guess

Step-by-step explanation:

Answer:

10÷3x just put that down,I hope that's what you were looking for

Answer:

10/(3n)

Step-by-step explanation:

So it would be 10 divided by 3n since the n is right next to the 3 that meanns it will be multiplied.

Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.

Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.

According to the given information, we can form two equations:

Lucy has $7 less than Kristine: L = K - 7

Lucy has $5 more than Nina: L = N + 5

We also know that the three of them have a total of $35: K + L + N = 35

We can solve this system of equations to find the values of K, L, and N.

Substituting equation 1 into equation 3, we get:

K + (K - 7) + N = 35

2K - 7 + N = 35

Substituting equation 2 into the above equation, we get:

2K - 7 + (L - 5) = 35

2K + L - 12 = 35

Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:

2K + (K - 7) - 12 = 35

3K - 19 = 35

Adding 19 to both sides:

3K = 54

Dividing both sides by 3:

K = 18

Now we can substitute the value of K into equation 1 to find L:

L = K - 7

L = 18 - 7

L = 11

Finally, we can find the value of N by substituting the values of K and L into equation 3:

K + L + N = 35

18 + 11 + N = 35

N = 35 - 18 - 11

N = 6

Therefore, Lucy has $11.

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Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

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The equations for the position of the particle are:

x(t) = (-1/8)(6/t - 3)4/3 + 5 + (1/8)(3)4/3

y(t) = -te-t + e-t + 4 + 2e-3

The position of a particle moving along a curve in the xy-plane at time t>0 is given by (x(t), y(t)), where dx/dt = (6/t - 3)1/3 and dy/dt = te-t. We are given that at time t = 3, the particle is at the point (5, 4).

To find the position of the particle at any time t, we need to integrate both dx/dt and dy/dt with respect to t. This will give us the equations for x(t) and y(t).

For x(t):
∫dx/dt dt = ∫(6/t - 3)1/3 dt

Using substitution, let u = 6/t - 3, then du = -6/t2 dt

∫(6/t - 3)1/3 dt = ∫u1/3 (-t2/6) du

= (-1/6) ∫u1/3 du

= (-1/6) (3/4)u4/3 + C

= (-1/8)(6/t - 3)4/3 + C

For y(t):
∫dy/dt dt = ∫te-t dt

Using integration by parts, let u = t, dv = e-t dt, then du = dt, v = -e-t

∫te-t dt = -te-t - ∫(-e-t) dt

= -te-t + e-t + C

Now we can use the initial conditions at t = 3 to find the constants of integration. For x(t), we have:

5 = (-1/8)(6/3 - 3)4/3 + C

C = 5 + (1/8)(3)4/3

And for y(t), we have:

4 = -3e-3 + e-3 + C

C = 4 + 2e-3

So the equations for the position of the particle are:

x(t) = (-1/8)(6/t - 3)4/3 + 5 + (1/8)(3)4/3

y(t) = -te-t + e-t + 4 + 2e-3

These equations describe the allocation of the particle along the curve at any time t.

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The concept that a message gives different meanings to different objects is called option (b) polymorphism.

Polymorphism is a fundamental concept in object-oriented programming (OOP) that allows different objects to respond to the same message or method invocation in different ways. In other words, it allows objects of different classes to be treated as if they were of the same class, as long as they implement the same method or message.

This can make code more flexible, reusable, and easier to maintain. Polymorphism is achieved through inheritance, interfaces, or overloading methods. For example, a "draw" method could be implemented differently for different shapes, such as circles, rectangles, or triangles.

Therefore, the correct option is (b) polymorphism

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Answer:

Step-by-step explanation:

28.57% profit.

You're welcome.

<3

Answer:

Step-by-step explanation:

28.57%

round off to

28.6%

The z-score corresponding to Anastasia's test score is -0.5. This indicates that her score is 0.5 standard deviations below the mean.

To calculate the z-score corresponding to Anastasia's test score of 110, we can use the formula:

z = (x - mean) / standard deviation

where x is Anastasia's score, mean is the mean of the test scores (120), and standard deviation is the standard deviation of the test scores (20).

Substituting the values into the formula, we get:

z = (110 - 120) / 20 = -0.5

Therefore, the z-score corresponding to Anastasia's test score is -0.5. This indicates that her score is 0.5 standard deviations below the mean. A negative z-score implies that her score is below the mean, while a positive z-score would indicate a score above the mean. In this case, Anastasia's z-score of -0.5 suggests that her score is below average relative to the distribution of scores on the standardized test.

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The equation of the line would be y = (-3/4)x + 5.

What is the slope-point form of the line?

For the line having slope "m" and the point (x1, y1) the equation of the line passing through the point (x1, y1) having slope 'm' would be

                      y - y1 = m(x - x1)

The given equation is \(y=-\frac{3}{4}x-17\)

The required line is parallel to the given line.

and we know that the slopes of the parallel lines are equal so the slope of the required line would be m = -3/4

And the required line passes through (8, -1)

so by using slope - point form of the line,

      y - (-1) = (-3/4)(x - 8)

      y + 1 = (-3/4)x - (-3/4)8

       y + 1 = (-3/4)x + 24/4

       y = (-3/4)x + (12/2 - 1)

       y = (-3/4)x + 5

Hence, the equation of the line would be y = (-3/4)x + 5.

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The simplified expression after making the trigonometric substitution is 25cos²(theta).

Given the expression 25 - x² and the substitution x = 5sin(theta), we can make the substitution and simplify it as follows:
1. Replace x with 5sin(theta): 25 - (5sin(theta))²
2. Square the term inside the parentheses: 25 - 25sin²(theta)
3. Use the trigonometric identity sin²(theta) + cos²(theta) = 1: 25 - 25(1 - cos²(theta))
4. Distribute the -25: 25 - 25 + 25cos²(theta)
5. Simplify: 25cos²(theta)

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Answer:

41.9 ft 3

Step-by-step explanation:

because i just know

Answer:

The inequality x + 3 < 12 can be used to determine the number of miles left to jog.

Step-by-step explanation:

It is given that:

Number of miles Beth has already jogged = 3 miles

She plans to join less than 12 miles.

Let,

x represent the number of miles left to jog.

x + 3 < 12

x + 3 - 3 < 12 - 3

x  < 9

Therefore,

The inequality x + 3 < 12 can be used to determine the number of miles left to jog.

Answer:

20) a) 6.8 b) 7

21) a) 26.2 b) 26

22) a) -7.8 b) -8

23) a) -10.2 b) -10

24) a) 2.6 b) 3

25) a) -12.9 b) -13

9) Real number

10) Real number

11) Real number

12) Real number

13) Real number

14) Real number

15) Not a real number

16) Real number

Explanation

In order to find the estimated integer of a square root, you simply find the perfect squares closest to the specified square root. For example, the closest perfect squares to \(\sqrt{46}\) are \(\sqrt{36}\) and \(\sqrt{49}\). Now, we need to find which perfect square is the closest between those two. 46 and 36 have a difference of 10, while 46 and 49 have a difference of 3. So, we know that 49 is the closest perfect square. Now, we simplify

The unknown current is 0 Amps (I = 0 A).

To determine the unknown current in the given network, we need to use Ohm's Law and apply Kirchhoff's laws.

Let's assume the unknown current as I. According to Kirchhoff's current law (KCL), the sum of currents entering and leaving a junction is zero.

At the junction between R1, R2, and R3, we have:

I - (I1 + I2) = 0

Applying Ohm's Law, we can express the currents in terms of resistances and the unknown current:

I - (V1/R1 + V2/R2) = 0

Now, we know that V1 = I * R1 and V2 = I * R2. Substituting these values:

I - (I * R1 / R1 + I * R2 / R2) = 0

Simplifying further:

I - (I + I) = 0

I - 2I = 0

-I = 0

Therefore, the unknown current is 0 Amps (I = 0 A).

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Answer:

-60

Step-by-step explanation:

residual = actual - predicted = 570 - 630 = -60

The set of all possible values of the independent variable of a function is called the domain.

The set of all possible values of the dependent variable of a function is called the Range .

Note. Two things completely determine a function: the rule and the domain.

The solution is, The population would reach 111 million in next 7 years

An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.

here, we have,

given that,

The initial population of Mexico was 100 million

The growth rate of the population is 1.53 %per year

Then the future population of Mexico is given by

P = P_0(1+r)^t

Where P = future population after t years

P_0= initial population

t = time period in years

Substituting the given vales in above equation we get

(1+ 0.0153)^t = 1.11

Taking log on both sides we get

t* log (1.0153) = log(1.11)

solving we get,

t = 6.87

≈ 7 years

The population would reach 111 million in next 7 years.

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Answer:

Year

Step-by-step explanation:

The independent variable belongs on the x-axis (horizontal line) of the graph and the dependent variable belongs on the y-axis (vertical line).

x-axis represents days/year/time (major interval set to 7); y-axis represents tasks.

For example, if you are following the number of cancer cases per year, you plot the number of cancer cases on the y-axis because that number is different for each year, and the value you plot depends on which year you choose (you are choosing the year, so year goes on the x-axis; you are reporting the number of cancer

Answer:

4

Step-by-step explanation:

this thing works (dont worry)

Answer:

48

Step-by-step explanation:

The amount of time needed and the amount of wall to paint are directly proportional. So, when we multiply the amount of wall to paint by 8/5 (going from 5000 square feet to 8000 square feet), we multiply the time needed by 8/5. Therefore, we need 30 * 8/5 = 48  minutes to paint the 8000 square foot wall.

We need 48 minutes to paint 8000 square football . The minute is a measure of time that is typically equal to 60 seconds, or 1/60 of an hour.

Given,

8 team members paint 5000square football in 30 min

So,

30*8/5

= 48 minutes

Therefore We need 48 minutes to paint 8000 square football.

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volume= 16/3, A coordinate plane is a graphing and description system for points and lines. A vertical (y) axis and a horizontal (x) axis make up the coordinate plane. There are four quadrants in the coordinate plane. The point where these lines connect is called the origin (0, 0).

limits

z= 0 to z = 4-y-2x

y= 0 to y = 4- 2x

x= 0 to x= 2

volume

v= \(\int\limits^2_0 \int\limits^4_0 \int\limits^4_0 dzdydx\)

v= \(\int\limits^2_0 \int\limits^4_0 (4-y-2x) dydx\)

v= \(\int\limits^2_0 ( 4y- y^{2} / 2 - 2xy) ^4^-^2^x _0\)

dx= \(\int\limits^2_0 [ 16-8x - 16+ 4x^2 - 16x / 2 - 8x+ 4x^2 ] dx\)

v= \(\int\limits^2_0 [ 8+ 2x^2- 8x] dx\\\)

= [ 8x + 2x^3 / 3 - 8x^2 / 2 ] ^2_0

= [16+ 16/3- 16]

v= 16/3

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Complete Question

Question: Sketch The Tetrahedron Enclosed By The Coordinate Planes And The Plane 2x+Y+Z=4. Use A Triple Integral To Find The Volume Of The tetrahedron

The estimated mean score is 19.22 (rounded to 2 decimal places).

What is the statistics?

Statistics is the branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data.

To estimate the mean, we need to find the midpoint of each interval, multiply it by the frequency, sum up the products, and divide by the total frequency:

Midpoint of 1-7 interval: (1+7)/2 = 4

Midpoint of 8-10 interval: (8+10)/2 = 9

Midpoint of 11-15 interval: (11+15)/2 = 13

Midpoint of 16-20 interval: (16+20)/2 = 18

Midpoint of 21-35 interval: (21+35)/2 = 28

Midpoint of 36-50 interval: (36+50)/2 = 43

Now, we can estimate the mean:

mean = (413 + 914 + 1318 + 186 + 2813 + 4319) / (13+14+18+6+13+19)

mean = 19.22

Hence, the estimated mean score is 19.22 (rounded to 2 decimal places).

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The horizontal asymptote of the function f(x) = 2ˣ is y = 0.

In Mathematics and Geometry, a horizontal asymptote can be defined as a horizontal line (y = b) where the graph of a function approaches the line as the input values (domain or independent value) approach negative infinity (-∞) to positive infinity (∞).

In this context, the line passing through the ordered pair (0, 1) on the graph of this exponential growth function represents a horizontal asymptote and it has an equation of y = 0, as shown in the image attached above.

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Answer:

kidding meee

Step-by-step explanation:

Doood you are kiding me

Answer:

The slope is most easily defined as rise over run.

First, find a point you like because it is directly on the line and is where for example starting from the origin which you know should be always (0, 0).

Then find another point that is on the line and is perfectly aligned where on the graph is like (1, 2).

Then, as I said earlier, rise over run. So you climb up from for example the origin which is in the graph and climb up to the (1, 2) point. It should go up two units because it is increasing in intervals of 2 but has the notches in the half mark of 1.

So the rise is 2 because it climbed from 0 to 2.

The run is running from the 0 in the origin on the x-axis and running to the 1 because it is (1, 2) where it is in the form (x,y).

Since it is rise over run, the rise is 2 and the run is 1 so 2 over 1 is 2.

Hence the slope is 2.

Step-by-step explanation:

We have to calculate the estimated standard error and means of the two samples before calculating  the test statistic for a two sample test of means with population variances equal but unknown.

In the given question, we have to explain steps that are necessary before you can calculate the test statistic for a two sample test of means with population variances equal but unknown.

The test statistic for a two-sample independent t-test is derived by dividing the difference between the means of the two samples by the estimated standard error, either pooled or unpooled. The total amount of variation in both groups is gauged by the anticipated standard error.

So we have to calculate the estimated standard error and means of the two samples before calculating  the test statistic for a two sample test of means with population variances equal but unknown.

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Answer: 1/x+1/y=1 (ii) xy + 5x = 4y + 38 x, y are natural numbers . To find : find all possible (x,y) Step-by-step explanation: 1/x+1/y=1. x = 1 then no value of y exist. x = 2 , y = 2

Step-by-step explanation: