A design engineer is mapping out a new neighborhood with parallel streets. If one street passes through (4, 7) and (3, 3), what is the equation for a parallel street that passes through (−2, 4)?

y = 4x + 12
y = 4x − 14
y equals negative one-fourth times x minus 1
y equals negative one-fourth times x plus 7 halves

Answer:

172.5

Step-by-step explanation:

I multiplied the 150 by 1.15 and got the answer 172.5.

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Answer:

prove 2x=o that type you should do prove that your answer all you should prove

The time that it would take for you heart to beat 700,000 times is

8days 2hours 26 mints 40second.

To calculate at this rate of heart to beat 700,000 times we take :

It should be noted that the heart beats in a day = 86400 times

(24 hours = 86400 times)

Takes about 1 hour for a heart to beat  = 3600times

Takes about 15 mints for a heart to beat  = 900times

Takes about 60 sec for a heart to beat  = 60times

Therefore,

the number of days will be given as

= 700000 / 86400

= 8.10 days

=  8days 2hours 26 mints 40second.

The time that it would take for you heart to beat 700,000 times is

8days 2hours 26 mints 40second.

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Answer:

The zero value of the function occurs at s = 4

Step-by-step explanation:

The given function for the amount of money, m, Jason has left after buying s number of sno-cones for his friend is m = 5 - 1.25·s

Therefore, we have generated from Microsoft Excel the following data table used to plot the points on the graph

Number of Sno-cones          \({}\)        Amount of money left

0                                    \({}\)                        5

1                                    \({}\)                         3.75

2                                    \({}\)                        2.5

3                                    \({}\)                        1.25

4                                    \({}\)                        0

Therefore, as seen from the above table, and from the attached graph, the zero value of the function occurs at the value where the amount of money left (y-coordinate value) is 0 which is at the value of s = 4.

The amount of each quarterly payment is approximately $146.73.

To calculate the amount of each quarterly payment, we can use the formula for the quarterly payment of an annuity

P = \(A * (1 - (1 + r)^(-n)) / r,\)

where P is the quarterly payment, A is the loan amount, r is the quarterly interest rate, and n is the number of quarters.

First, we need to convert the semiannual interest rate of 8% to a quarterly interest rate. Since there are two quarters in each semiannual period, the quarterly interest rate would be 8% divided by 2, which is 4%.

Next, we substitute the values into the formula

P = \(1400 * (1 - (1 + 0.04)^(-12)) / 0.04\),

 = \(1400 * (1 - (1.04)^(-12)) / 0.04,\)

 ≈\(146.73.\)

Therefore, the amount of each quarterly payment is approximately $146.73.

An annuity is a series of regular payments made over a specific period of time. In this case, the loan of $1400 is to be repaid with quarterly payments. The interest on the loan is charged at a rate of 8% convertible semiannually, which means the interest is compounded twice a year. To determine the amount of each quarterly payment, we use the annuity formula and the quarterly interest rate, which is obtained by dividing the semiannual interest rate by 2. By substituting the values into the formula, we find that each quarterly payment amounts to approximately $146.73.

An annuity payment consists of both principal and interest components. In the beginning, a larger portion of each payment goes towards paying off the interest, while the remaining portion is applied towards the principal. As the loan is gradually repaid, the interest portion decreases, and the principal portion increases. The formula allows us to determine the fixed amount required for each payment, ensuring that the loan is fully repaid within the specified period.

It's important to note that the calculated amount of $146.73 is an approximation, and the actual payment may differ slightly due to rounding or any additional fees associated with the loan.

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Answer:

Perimeter of original triangle: 6+8+10=24 cm

Perimeter of new triangle: 3+4+5=12 cm (You get 3, 4, and 5 from dividing 6, 8. and 10 by 2.)

Ratio of original to new is 24 to 12, simplified to 2 to 1.  

The ratio of the perimeter is the ratio of the corresponding sides, as the original measurements are two times the length of the new measurements.

Area of original triangle: (6x8)/2=24 cm^2

Area of new triangle: (3x4)/2=6 cm^2

Ratio of original to new is 24 to 6, simplified to 4 to 1.

Answer:

50.24

Step-by-step explanation:

radius R = 2

SA = 4πR^2 = 4π*2^2 = 16π = 16*3.14 = 50.24

Answer: False.

Step-by-step explanation:

Initially, the ratio is 2:7

This means that if we have 2 red marbles, we must have 7 yellow ones.

The quotient here is 7/2 = 3.5

Now, if you add 3 marbles of each colour, then we have:

2 + 3 = 5 red marbles

7 + 3 = 10 yellow marbles.

Now the ratio is 5:10

This means that for every 5 red marbles, we have 10 yellow ones.

But now we can divide both numbers by the same positive integer, because they have a common factor equal to 5.

5/5 = 1

10/5 = 2

Then we have:

5:10 = 1:2

So the new ratio is 1:2

Then the ratio changed when we added the new marbles, which means that Maria was wrong.

To find the largest four-digit value of t such that the expression is an integer, we need to set up an equation and solve for t.

Let's denote the given expression as x:

x = √(t - √(t - √(t - √(t - ...)))

To simplify the expression, we notice that the inner square root can be represented by x itself. So we can rewrite the equation as:

x = √(t - x)

Squaring both sides to eliminate the square root:

x^2 = t - x

Rearranging the equation:

x^2 + x - t = 0

To find the largest four-digit value of t, we can iterate through the values of t starting from 9999 and solve the quadratic equation for x. We are looking for a positive integer solution for x. Once we find the largest value of t that satisfies this condition, we have our answer.

By solving the quadratic equation for different values of t, the largest four-digit value of t that satisfies the condition is 9985.

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Answer:

1. Mean, because there are no outliers that affect the center

Step-by-step explanation:

Second period: 3,2,3,1,3, 4, 2, 4, 3, 1, 0, 2, 3, 1, 2

Sorted values : 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4

The mean = ΣX / n

n = sample size, n = 15

Mean = 34 / 15 = 2.666

The median = 1/2(n+1)th term.

1/2(16)th term = 8th term.

The 8th term = 2

The best measure of centre is the mean because the values for the second period has no outliers that might have affected the centre of the distribution.

Both interquartile range and standard deviation are measures of spread and not measures of centre.

Answer:

I'm not sure what X or Y equals, But I'm pretty sure this could help!!

1. 4x + 16

2. 8x + 32

3. 2x + 8

The loads carried by an elevator are found to follow a normal distribution with a mean weight of 1812 lbs, and a standard deviation of 105.3 lbs. The answer is c) [1606, 2018].

To answer this question, we need to use the concept of confidence intervals. A 95% confidence interval means that in 95% of all cases, the true population parameter (in this case, the weight of the elevator load) will fall within the interval.

To find the interval centered about the mean, we need to calculate the margin of error first. The formula for margin of error is:

Margin of Error = z*(standard deviation/square root of sample size)

Since we do not have a sample size here, we will use the population standard deviation instead.

For a 95% confidence level, the z-value is 1.96. So, plugging in the values we have:

Margin of Error = 1.96*(105.3/square root of 1)

Margin of Error = 205.97

Now, we can find the interval by adding and subtracting the margin of error from the mean:

Interval = [1812 - 205.97, 1812 + 205.97]

Interval = [1606.03, 2017.97]

Therefore, the answer is c) [1606, 2018].

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Answer:

90 meters

Step-by-step explanation:

10*9=90

Answer:

Step-by-step explanation:

2 and 7 are AEA

5 and 4 are SSI

8 and 3 are CA

6 and 4 are AIA

2 and 4 are VA

1 and 5 are CA

The exponential model that calculates the concentration of bacteria after x weeks can be represented by the equation B(x) = 2.1 million * (3^x), the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

This equation assumes that the concentration triples each week, starting from the initial concentration of 2.1 million bacteria per milliliter.

To estimate the concentration after 1.6 weeks, we can substitute x = 1.6 into the exponential model. B(1.6) = 2.1 million * (3^1.6) ≈ 14.87 million bacteria per milliliter. Therefore, after 1.6 weeks, the estimated concentration of bacteria in the river would be approximately 14.87 million bacteria per milliliter.

The exponential model B(x) = 2.1 million * (3^x) represents the concentration of bacteria after x weeks, where the concentration triples each week. By substituting x = 1.6 into the equation, we estimate that the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

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Answer:

Step-by-step explanation:

\(\frac{-12}{3} (-8+(-4)^{2} -6)+2\)

-4(-8+16-6)+2

-4(2)+2

-8+2

-6

The proportion of scores below 12.5 in a normally distributed population with a mean of 10 and a standard deviation of 2 can be calculated using the Z-score and the standard normal distribution table. In this case, we need to find the area under the curve to the left of the value 12.5.

The Z-score is calculated as (X - μ) / σ, where X is the value we want to find the proportion for, μ is the mean, and σ is the standard deviation. Substituting the given values, we have (12.5 - 10) / 2 = 1.25.

Using the standard normal distribution table or a statistical calculator, we can find that the area to the left of a Z-score of 1.25 is approximately 0.8944. Therefore, the proportion of scores below 12.5 is approximately 89.44%.

In a normal distribution, the Z-score measures the number of standard deviations a value is from the mean. By calculating the Z-score for the value 12.5, we can use the standard normal distribution table to find the proportion of scores below that value.

The table provides the cumulative probability up to a certain Z-score. In this case, the Z-score of 1.25 corresponds to a cumulative probability of approximately 0.8944.

Since the normal distribution is symmetric, the proportion of scores above 12.5 is equal to the proportion below the mean minus the proportion below 12.5.

Hence, subtracting 0.8944 from 1 (or 100%) gives us approximately 0.1056 or 10.56%. Therefore, the proportion of scores below 12.5 is approximately 89.44%.

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Answer:

\((-2,0)\) and \((1,0)\)

Step-by-step explanation:

\(y=2x^2+2x-4\\0=2x^2+2x-4\\0=2(x^2+x-2)\\0=2(x+2)(x-1)\\x=-2,x=1\)

Therefore, your ordered pairs would be \((-2,0)\) and \((1,0)\)

Based on the given information about the acf for the gap sales. The statement "there is clear evidence in the acf that there is a strong trend in the data" is correct. so, the correct option is A).

The given statement is correct as the autocorrelation function (ACF) measures the correlation between a time series and its lagged values. If there is a strong trend in the data, it will be reflected in the ACF as a significant correlation at lag 1 and beyond. Therefore, a clear evidence of a strong trend in the data can be observed in the ACF.

However, the other answer choices cannot be determined from the information provided. There is no information provided regarding seasonality or the stationarity of the data, and the information provided is not sufficient to determine whether the data has fallen in the last 12 periods. so, the correct answer is A).

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Answer:

Step-by-step explanation:

1. (3/4)^2 = 3/4 * 3/4

2. numerator * numerator so 3 * 3 = 9

3. denominator * denominator so 4 * 4 = 16

Hence, the answer is 9/16

Step-by-step explanation:

(3/4)² = 3²/4² = 9/16

(a×b×c×d×...×z)² = a²×b²×c²×d²×...×z²

The probability or chance of Tara being selected is 1/29.

Probability is the chance of happening something or the occurrence of something . We can also define the probability as the chance of occurring or the chance of selecting something from the total set of value. It is always ranges from 0 to 1 where 0 is minimum value and 1 is maximum value of probability.

Formula for probability is :

\(P(Event) =\frac{ Chance \ of \ occurring \ that \ event}{total \ occurance}\)

where, the total occurrence is the sample space of our given data or we can say the total number of values in the sample space.

In the given question,

Chance of selecting Kenny = 1 / 29

=> P(Kenny is selected) = 1/29

That means sample space consist of 29 values.

Now, P(Tara is selected) = 1 / sample space

=> P(Tara is selected) = 1/29.

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The complete question is :

Kenny and Tara are both members of a population, and a simple random sample is being conducted. If the chance of Kenny being selected is 1/29, what is the chance of Tara being selected?

Answer:

\(x + 2 = - 3x\)

\( - 4x = 2\)

\(x = - \frac{1}{2} \)

\( - 3( - \frac{1}{2} ) = \frac{3}{2} = 1 \frac{1}{2} \)

So the lines intersect at (-1/2, 1 1/2), or

(-.5, 1.5).

Hi there!

\(\large\boxed{\text{Average rate = 1}}\)

We can calculate the average rate of change using the following:

\(ARC = \frac{f(b)-f(a)}{b-a}\)

Thus, we can plug in the endpoints of -4 and -2. Find the corresponding y-values for these x-values:

f(-2) = -(-2)² - 5(-2) + 8  = -4 + 10 + 8 = 14

f(-4) = -(-4)² - 5(-4) + 8 = -16 + 20 + 8 = 12

Plug in the solved for values into the ARC equation:

\(ARC(slope) = \frac{14-12}{-2(-4)} = \frac{2}{2} = 1\)

Answer:

where is the question?

Step-by-step explanation:

the picture is all black.

Answer:

4840 yards squared!

The correct answer is d  is used to test the effect of the IV on the variability of the DV.

The correct answer is d. The "stand alone F test" is used to test the effect of the independent variable (IV) on the variability of the dependent variable (DV). It is an inferential test commonly used in analysis of variance (ANOVA) to determine if there is a significant difference among the means of three or more groups.

Option a is incorrect because the "stand alone F test" is an inferential test that involves making a conclusion about a population based on sample data.

Option b is incorrect because the "stand alone F test" is used to test the assumption of equal variances, not homogeneity of variance.

Option c is incorrect because the "stand alone F test" can be directional or non-directional, depending on the research question and hypothesis being tested.

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\(\qquad\qquad\huge\underline{\boxed{\sf Answer}}\)

Let's evaluate ~

\(\qquad \tt \dashrightarrow \:6 \frac{5}{8} + 4 \frac{3}{4} \)

\(\qquad \tt \dashrightarrow \: \frac{53}{8} + \frac{19}{4} \)

\(\qquad \tt \dashrightarrow \: \frac{53 + 38}{8} \)

\(\qquad \tt \dashrightarrow \: \frac{91}{8} \)

\(\qquad \tt \dashrightarrow \: 11\frac{3}{8} \)

\(6 \frac{5}{8} + 4 \frac{3}{4} \)

the simplest form.

\( \frac{53}{8} + \frac{19}{4} \)

\( = \frac{(53 \times 4) + (19 \times 8)}{8 \times 4} \)

\( = \frac{212 + 152}{32} \)

\( = \frac{364}{32} \)

\( = 11 \frac{3}{8} \)

Answer:

470 is your awnser

Step-by-step explanation:

Answer:

50 + 30 * 14 = 470

Step-by-step explanation:

  50 + 30 * 14

= 50 + 420

= 470

Answer:

x=-1

Step-by-step explanation:

f (x)= -x + 8

Let f(x) = 9

9 = -x+8

Subtract 8 from each side

9-8 = -x+8-8

1 = -x

Multiply each side by -1

-1 = x