In a high school stadium there are 1575 seats. There are two and a half times as many seats in the home section as there are in the visitor section. Which system of equations could be used to determine the number of seats in the home section, h, and the number of seats in the visitor section, v, in the stadium?

Answer:

1 solution

605 + 50 - 973 - 373 + 49 = -642

The annual rate of change for crime events measured is 1440 crimes.

A time derivative is a function's derivative with regard to time, which is often thought to indicate the pace at which the function's value changes. Time is often represented by the variable t.

Given that,

C (P) = 0.04P²

One city has 1,500,000 residents, and the population is growing by 12,000 people per year.

C (P) = 0.04P²

Differentiating with respect to t

\(\frac{d}{dt}\) (C(P)) = \(\frac{d}{dt}\) (0.04P²)

\(\frac{d}{dt}\) (C(P)) = 0.04 \(\frac{d}{dt}\) (P²)

\(\frac{dC (P)}{dt}\) = 0.04 (2P) \(\frac{dP}{dt}\)

\(\frac{dC(P)}{dt}\) = 0.08 \(\frac{dP}{dt}\)

Here, P = 1,500,000/1000 thousands of people

P = 1500 thousands of people

\(\frac{dP}{dt}\) = \(\frac{12000}{1000}\) thousands of people

\(\frac{dP}{dt}\) = 12 thousands people per year

Therefore, \(\frac{dC(P)}{dt}\) = 0.08P\(\frac{dP}{dt}\)

\(\frac{d}{dt}(C(1500)) = 0.08 (1500)(12)\)

\(\frac{d}{dt}(C(1500)) = 1440\)

Therefore, the rate of change of the incidents of crime measured per year is 1440 crimes per year.

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Answer:

Increase by 3.

Step-by-step explanation:

4 x 21 = 84

84 x 2 = 168

Begin to try numbers.

5 x 22 = 110

6 x 23 = 138

7 x 24 = 168

7 - 4 = 3

24 - 21 = 3

Increase each side by 3 ft. for a total dimension of 7 ft. x 24 ft.

Vertices of triangle dilated about the origin by a scale factor of 1/3, and then translated 2 units left and 3 units down

coordinates of A'B'C' are

A' (-1,-1)

B'(0,0)

C' (1,-2)

Given :

The vertices of a triangle are A(3,6), B(6,9), and C(9.3).

When the vertices by dilated by origin by scale factor 'k', then we multiply 'k' with each vertices

It is dilated about the origin by a scale factor of 1/3

So we multiply (x,y) by scale factor

\((x,y) - (\frac{1}{3}x,\frac{1}{3}y)\\A(3,6) - (\frac{1}{3}(3),\frac{1}{3}(6))->(1,2)\\\\B(6,9) - (\frac{1}{3}(6),\frac{1}{3}(9))->(2,3)\\\\C(9,3) - (\frac{1}{3}(9),\frac{1}{3}(3))->(3,1)\\\\\)

Now we translate 2 units left and 3 units down

For 2 units left , we subtract 2 from x

For 3 units down , we subtract 3 from y

So (x,y) becomes (x-2, y-3)

Lets apply this rule to our new vertices

\((1,2) \; becomes \; (-1,-1)\\(2,3) \; becomes \; (0,0)\\(3,1) \; becomes \; (1,-2)\\\)

coordinates are

A' (-1,-1)

B'(0,0)

C' (1,-2)

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Answer:

$1,281.00

Step-by-step explanation:

We start by calculating the value $50 added each month after the first month

= $50 × 11

= $550

Calculation:

First, converting R percent to r a decimal

r = R/100 = 5.5%/100 = 0.055 per year.

P = Principal = 500 + 550

= $1050

Calculation:

First, converting R percent to r a decimal

r = R/100 = 5.5%/100 = 0.055 per year.

Solving our equation:

A = 1050(1 + (0.055 × 4)) = 1281

A = $1,281.00

Therefore, there would be $1,281.00 after 4 years.

Answer:

This question is asking you to write the algebraic expression for "five times the sum of a number and 8).  Basically it is saying take a number (x) and add 8 to it. When we add, the answer is the sum.  

So the first part of the expression is (x + 8)

Then multiply that sum by 5

So our answer is 5(x+8)

Answer:

11

Step-by-step explanation:

If he scored 7 goals with each goal being worth 2 stars, that's 14 stars. If he missed 6 times, then he lost 3 stars. So the answer is 11.

By permutation, in 95040  ways we can choose a starting lineup consisting of a center, a power forward, a shooting forward, a point guard, and a shooting guard

A permutation is a set up of things in a certain sequence. Here, the members of sets or their constituent parts are sorted in a linear or sequential manner.

Take the number of possibilities for each event and multiply it by itself X times, where X is the total number of events in the sequence, to find the number of permutations. For instance, four-character PINs have a total of 10 possible combinations because each digit can vary from 0 to 9.

\(12^P_{5} = \frac{12!}{(12-5)!} =\frac{12!}{5!} = 12 X 11 X 10 X 9 X 8 = 95040\)

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Answer: The answer is 226.2 feet.

Step-by-step explanation: The formula to find the total surface area of a cylinder is 2\(\pi\) x radius squared x height. If you use the formula you will get 226.19 feet as your answer and I rounded that to 226.2 feet.

UR MOM

Answer:

Susan has 15 different combinations of fruit she can choose from.

Step-by-step explanation:

To display formulas, one way is to press the key combination [Ctrl]+[] (grave accent).

The key combination [Ctrl]+[] is used to display formulas.

This is a useful feature for checking and editing formulas without altering the calculated values.

By pressing [Ctrl]+[], users can easily view the underlying formulas and ensure their accuracy.

This key combination provides a convenient way to switch between the formula view and the results view, enabling efficient editing and troubleshooting of complex calculations.

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From the given information provided, option C is not a way to get from ADEF to AD'E'F' as it will result in a triangle.

To get from ADEF to AD'E'F', we need to perform a series of transformations (translations, rotations, reflections, or combinations of these). The options that are possible ways to get from ADEF to AD'E'F' are:

A. Reflect DEF across the y-axis, then translate 12 units to the right and 1 unit down.

B. Reflect DEF across the x-axis, then translate 12 units to the right and 1 unit up.

C. Rotate DEF 180 degrees counterclockwise about the point (−3, 2), then translate 11 units to the right and 1 unit up.

D. Translate DEF 12 units to the right and 1 unit up.

Option C is NOT a way to get from ADEF to AD'E'F' because rotating DEF 180 degrees counterclockwise about the point (−3, 2) would result in a triangle with vertices D (-5, 1), E (-2, 0), and F (-6, -1). This triangle is not the same as AD'E'F' which has vertices D' (8, 3), E' (11, 2), and F (7, 1).

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Answer:

3,864 Km

Step-by-step explanation:

920/60=15.333333

15.33333*252=3,864

The radius of the cone is 783.84/√h

A cone is the surface traced by a moving straight line (the generatrix) that always passes through a fixed point (the vertex).

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

The volume of a cone is expressed as;

V = 1/3πr²h

643072 × 3 = 3.14 × r²h

r²h = 614400

r² = 614400/h

r = 783.84/√h

therefore the radius of the cone is 783.84/√h

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If the results are the same, then the numbers are associative under addition.
Venn diagram: integer: -2
rational number: 3/4

Diagrams are visual representations of concepts, ideas, or processes, using lines, shapes, and other visual elements. They are used to communicate information quickly and clearly, and can be used to explore complex topics. Diagrams can be used to show the relationships between different components of a system, to explain how a process works, or to illustrate the structure of an organization. Diagrams can also be used to show the flow of information, or to illustrate the stages of a project.

A1. The associative property of addition states that when three or more numbers are added together, the order in which they are added does not affect the result. To check whether the numbers (a, b, and c) are associative under addition, we can calculate (a + b) + c and a + (b + c) and compare the results. If the results are the same, then the numbers are associative under addition.

Venn diagram:

integer: -2
rational number: 3/4

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Therefore, segment BD is congruent to segment CA, as required.

A trapezoid is a quadrilateral with at least one pair of parallel sides. In this case, we are given that AB is parallel to CD. The base angles theorem states that the base angles of an isosceles trapezoid are congruent. Since AB and CD are congruent (as given by the reflective property of congruence), the opposite angles formed by the intersecting lines BA and CD (i.e., ∠BAD and ∠CDA) are congruent as well. This establishes that ABCD is an isosceles trapezoid. An isosceles trapezoid has two pairs of congruent sides: AB = CD and AC = BD. Since BA and CO are congruent (as given), we can conclude that AC and BD are congruent as well (by the isosceles trapezoid definition). Finally, the symmetric property of congruence allows us to state that BD is congruent to CA.

Here,

given that ABCD is a trapezoid and segments BA and CO are congruent:

Statements | Reasons

ABCD is a trapezoid | Given

AB || CD | Definition of a trapezoid

∠BAD ≅ ∠CDA | Base angles theorem

AB ≅ CD | Reflective property of congruence

BA ≅ CO | Given

AC ≅ BD | Isosceles trapezoid definition

BD ≅ CA | Symmetric property of congruence

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To use an RNG (Random Number Generator) to choose an SRS (Simple Random Sample) of 141 plots, you can follow these steps:

1. First, determine the total number of plots in the population. Let's say there are 1000 plots in total.

2. Assign a unique number to each plot in the population. For example, you can label them as Plot 1, Plot 2, Plot 3, and so on up to Plot 1000.

3. Now, generate random numbers using the RNG. The range of random numbers should be between 1 and the total number of plots in the population (in this case, 1000). The RNG will ensure that the numbers are generated in a random and unbiased manner.

4. Repeat the random number generation process until you have 141 unique random numbers. This will ensure that you select a sample of 141 plots without any duplicates.

5. Once you have the 141 random numbers, identify the corresponding plots in the population using the assigned labels. These plots will constitute your simple random sample.

By following these steps, a computer can effectively carry out the plan of using an RNG to choose an SRS of 141 plots. Remember, using an RNG ensures that the selection process is random and unbiased, which is essential for obtaining a representative sample.

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(a) It is False a delta modulator does not have a fixed number of quantization levels. It uses a 1-bit quantizer, resulting in a binary decision for each sample.

(b) It is False the bandwidth of a VSB (Vestigial Sideband) signal is greater than that of the corresponding SSB (Single Sideband) signal, but it is also greater than the bandwidth of the corresponding DSBSC (Double Sideband Suppressed Carrier) signal.

(c) It is False a zero-ISI pulse satisfies p(t) = 1 when t = 0, and p(t) = 0 for all other values of t. This ensures that there is no interference between adjacent symbols at the receiver.

(d) It is False wideband FM has a wider bandwidth than AM for the same message signal. The bandwidth of FM depends on the modulation index and the frequency deviation.

(e) It is False Line coding is necessary for DSBSC demodulation to recover the original message signal. It ensures proper synchronization and provides a method to represent binary data.

(f) It is true FM is more resistant to non-linearity distortion than AM. FM modulation spreads the signal energy across a wider frequency range, reducing the impact of non-linearities.

(g) It is False in a Quadrature Amplitude Modulator (QAM), two signals are transmitted at different frequencies but at the same time, allowing them to coexist without interference.

(h) It is true DSBSC demodulators can be used for demodulating AM signals because DSBSC is a special case of AM where the carrier is suppressed.

(i)It is False the minimum bandwidth required for transmitting 10 PCM (Pulse Code Modulation) bits/second depends on the sampling rate and the specific encoding scheme used.

(j)It is False the bandwidth of an anti-aliasing filter is determined by the Nyquist-Shannon sampling theorem and is typically set to half the sampling frequency to prevent aliasing. It is not equal to the sampling frequency.

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COMPLETE QUESTION - Put (T)rue or (F)alse in the brackets in front of each of the following statements (Correct =+2 points, Wrong =−1 points, Unanswered =0 points) ] (a) A delta modulator has a quantizer with 256 quantization levels ] (b) The bandwidth of a VSB signal is greater than the BW of the corresponding SSB and less than the BW of the corresponding DSBSC signal. ] (c) When transmitting bits at a rate of 1/T b , a zero-ISI pulse p(t) must satisfy p(t)={ 0, 1,t=±T b ,±2T b ,±3T b ,…t=0] (d) Wideband FM has the same bandwidth as AM for the same message signal. 1 (e) Line coding is not required for DSBSC demodulation. ] (f) FM is more resistant to non-linearity distortion than AM. ] (g) In a Quadrature Amplitude Modulator (QAM), two signals are transmitted at the same frequency without interfering with each other. ] (h) DSBSC demodulators can be used for demodulating AM signals (DSB with carrier) ] (i) The minimum bandwidth required for transmitting 10PCM bits/second is 20 Hz. ] (j) The bandwidth of an anti-aliasing filter is equal to the sampling frequency.

a) It would take Anya approximately 4 years to accumulate $40,000 with an annual interest rate of 12%. b) Anya must earn an annual rate of return of approximately 12.6% to save $40,000 in 3 years.

a) To calculate the number of years it would take Anya to accumulate $40,000, we can use the future value formula for compound interest:

Future Value = Present Value * (1 + interest rate)ⁿ

Where:

Future Value = $40,000

Present Value = $25,000

Interest rate = 12% = 0.12

n = number of years

Substituting the given values into the formula, we have:

$40,000 = $25,000 * (1 + 0.12)ⁿ

Dividing both sides of the equation by $25,000, we get:

(1 + 0.12)ⁿ = 40,000 / 25,000

(1.12)ⁿ = 1.6

To solve for n, we can take the logarithm of both sides of the equation:

n * log(1.12) = log(1.6)

Using a calculator, we find that log(1.12) ≈ 0.0492 and log(1.6) ≈ 0.2041. Therefore:

n * 0.0492 = 0.2041

n = 0.2041 / 0.0492 ≈ 4.15

b) To calculate the required rate of return for Anya to save $40,000 in just 3 years, we can rearrange the future value formula:

Future Value = Present Value * (1 + interest rate)ⁿ

$40,000 = $25,000 * (1 + interest rate)³

Dividing both sides of the equation by $25,000, we have:

(1 + interest rate)³ = 40,000 / 25,000

(1 + interest rate)³ = 1.6

Taking the cube root of both sides of the equation:

1 + interest rate = ∛1.6

Subtracting 1 from both sides, we get:

interest rate = ∛1.6 - 1

Using a calculator, we find that ∛1.6 ≈ 1.126. Therefore:

interest rate = 1.126 - 1 ≈ 0.126

To express the interest rate as a percentage, we multiply by 100:

interest rate = 0.126 * 100 = 12.6%

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Answer:

That's must be really cold!

Answer:

dang where do you live. its like 60 here

Step-by-step explanation:

a. The probability that the time to arrive is more than 22 minutes is 0.0918.

b. The probability that the time to arrive is between 13 and 21 minutes is 0.8164.

Given that, µ = 17 minutes and σ = 3 minutes.

Arrival time is a normal random variable and hence it follows normal distribution.

P(X) ~ N(17, 3)

a. To find the probability that the time to arrive is more than 22 minutes:

z = (X - µ) / σ

z = (22 - 17) / 3

z = 5 / 3

P(Z > 5/3) = 1 - P(Z < 5/3) = 1 - 0.9082 = 0.0918

b. To find the probability that the time to arrive is between 13 and 21 minutes:

z1 = (X1 - µ) / σ

z1 = (13 - 17) / 3

z1 = -4 / 3

z2 = (X2 - µ) / σ

z2 = (21 - 17) / 3

z2 = 4 / 3

P(13 < X < 21) = P(-4/3 < Z < 4/3)

P(-4/3 < Z < 4/3) = P(Z < 4/3) - P(Z < -4/3)

P(Z < 4/3) = 0.9082

P(Z < -4/3) = 1 - P(Z < 4/3) = 1 - 0.9082 = 0.0918

P(-4/3 < Z < 4/3) = P(Z < 4/3) - P(Z < -4/3)

P(-4/3 < Z < 4/3) = 0.9082 - 0.0918 = 0.8164

Note: The question is incomplete. The complete question probably is: The time for an emergency medical squad to arrive at the sports center at the edge of town is distributed as a normal variable with µ = 17 minutes and σ = 3 minutes. Determine the probability that the time to arrive is (a) more than 22 minutes and (b) between 13 and 21 minutes.

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Answer: radius is 2.5 and volume of ice cream is 58.9 cm cubed

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/5 a-5=20   addition properties

1/5 a -5+5=20+5

1/5=25     multiply both sides by 5

5/5 a=25*5

a=125

check the answer:

125/5 -5=20

25-5=20

20=20 correct

likely conclude that there is a statistically significant difference between the conditions being compared. This suggests that the observed difference is unlikely to have occurred by chance alone and is more likely due to the effect of the independent variable being studied.

When statistical analyses show that the difference between condition means is larger than would be expected on the basis of error variance alone, it indicates that there is a significant difference between the conditions being compared. In statistical terms, this means that the observed difference is statistically significant.

Statistical significance is a measure of the likelihood that an observed difference or effect is not due to random chance but rather reflects a real effect in the population. In hypothesis testing, researchers set up a null hypothesis, which assumes that there is no difference or relationship between the variables being studied. The alternative hypothesis, on the other hand, suggests that there is a difference or relationship.

By calculating statistical tests, such as t-tests or analysis of variance (ANOVA), researchers can determine the probability of obtaining the observed difference or effect under the null hypothesis. If this probability, often denoted as the p-value, is below a predetermined significance level (commonly set at 0.05), it is considered statistically significant.

When the observed difference is found to be statistically significant, the researcher can reject the null hypothesis and conclude that there is evidence to support their research hypothesis. This suggests that the independent variable being studied has a meaningful effect on the dependent variable.

It is important to note that statistical significance does not imply practical or substantive significance. While a result may be statistically significant, it is still necessary to consider the magnitude and practical implications of the observed difference or effect. Nonetheless, statistical significance is an important criterion for drawing conclusions about the relationships and effects being studied in research.

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We are given v = ds/dt, v = 9.8t + 9, s(0) = 17. We need to find the position of a body moving along a coordinate line at time t.

Using the formula of velocity, we can integrate it with respect to t to find the position of the body at any time t. The formula for velocity is:v = ds/dt... (1) Integrating equation (1) with respect to t, we get's = ∫vdt + C ...(2)

Here, C is the constant of integration, and it is found using the given initial position. Given, s(0) = 17Substitute s = 17 and t = 0 in equation (2).17 = ∫(9.8t + 9)dt + C [∵ s(0) = 17]17 = 4.9t² + 9t + C

Therefore, C = 17 - 4.9t² - 9tOn substituting the value of C in equation (2), we get:s = ∫vdt + 17 - 4.9t² - 9t ...(3)Now, we can substitute the given velocity, v = 9.8t + 9, in equation (3).s = ∫(9.8t + 9)dt + 17 - 4.9t² - 9ts = 4.9t² + 9t + 17 - 4.9t² - 9ts = 9t + 17

Hence, the position of the body at time t is 9t + 17 units.

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Answer:

16.

Step-by-step explanation:

7×4= 28

since this is a ratio you so the same to the other side

4×4=16

The line passing through the points (1,5) and (9,5) can be represented by the equation: y = 5. Since both points have the same y-coordinate (5), the line is a horizontal line parallel to the x-axis. The

To find the equation of a line passing through two points, we can use the slope-intercept form of a linear equation, which is given by:

y = mx + b

where "m" is the slope of the line, and "b" is the y-intercept.

Let's find the slope (m) first using the two points (1,5) and (9,5). The slope (m) is calculated as the change in y divided by the change in x:

m = (y2 - y1) / (x2 - x1)

Substituting the values of the points:

m = (5 - 5) / (9 - 1)

m = 0 / 8

m = 0

The slope (m) is 0. Since the line is horizontal, it means that the line is parallel to the x-axis, and its y-coordinate remains constant.

Now, let's find the y-intercept (b). We can substitute the coordinates of one of the points into the slope-intercept form and solve for b.

Using the point (1,5):

5 = 0 * 1 + b

5 = b

Therefore, the y-intercept (b) is 5.

Now we can write the equation of the line passing through the points (1,5) and (9,5):

y = 0x + 5

y = 5

The equation of the line is y = 5, which means that the line is a horizontal line passing through the y-coordinate 5.

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a. The women's height that corresponds to a z-score of -1.10 is 64.35 inches. c. z-score = 3.33. Evelyn Akhator is taller compared to her peers (women) than Draymond Green is compared to his peers (men).

a. To find the women's height corresponding to a z-score of -1.10, we can use the formula:

X = μ + (z × σ)

where X is the height, μ is the mean, z is the z-score, and σ is the standard deviation.

For women's heights:

μ = 66 inches

σ = 1.5 inches

z = -1.10

X = 66 + (-1.10 × 1.5)

X = 66 - 1.65

X = 64.35 inches

Therefore, the women's height that corresponds to a z-score of -1.10 is 64.35 inches.

b. To compare the heights of Evelyn Akhator and Draymond Green to their respective peers, we need to calculate the number of standard deviations each player's height is from their gender's mean.

For Evelyn Akhator:

Height = 75 inches

μ (mean for women) = 66 inches

σ (standard deviation for women) = 1.5 inches

z-score for Evelyn Akhator = (Height - μ) / σ

z-score = (75 - 66) / 1.5

z-score = 6

For Draymond Green:

Height = 79 inches

μ (mean for men) = 69 inches

σ (standard deviation for men) = 3 inches

z-score for Draymond Green = (Height - μ) / σ

z-score = (79 - 69) / 3

z-score = 3.33

Comparing the z-scores, we can see that Evelyn Akhator has a z-score of 6, which is significantly higher than Draymond Green's z-score of 3.33. This means that Evelyn Akhator is taller compared to her peers (women) than Draymond Green is compared to his peers (men).

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