Seven minus 2 times a number is the same as the number minus 2 as an Equation

Answer:

Step-by-step explanation:

a1 = - 2

an = a1 * r^(n - 1)

a6 = -486

-486 = - 2 * r^(6-1)                      Divide by 2

243 = r^5

The largest value that r could be is 3.

4^5 = 1024

(243)^(1/5) = 3

So the general formula

an = -2*(3)^(n - 1)

The rate at which the top of the ladder is slipping down at the instant when the bottom of the ladder is 15 feet from the base of the building is -75/8 feet per second

The length of the ladder = 17

Consider the length of the base as x and the height is h

The rate at which the ladder is sliding = 5 feet per second

dx/dt = 5

Apply the Pythagorean theorem

x^2 + h^2 = 17^2

h^2 = 289 - x^2

h = \(\sqrt{289-x^2}\)

The rate of change of height with respect to x is

dh/dx = - x / (289 - x^2)^(1/2)

dh/dt = dh/dx × dx/dt

Substitute the values in the equation

= - 15 / (289 - 15^2)^(1/2) × 5

= -15/8 × 5

= -75/8 feet per second

Therefore, the rate of change of height when x = 15 is -75/8 feet per second

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The frequency function in Excel can be used to determine the frequency of student absences based on the criteria in a specified range.

To simultaneously insert the FREQUENCY function in cells I12:I14, you can use the following steps:

Select the range I12:I14

Type the following formula in the formula bar: "=FREQUENCY(data_range,bin_range)"

Replace "data_range" with the range of values containing the student absences

Replace "bin_range" with the range of values containing the criteria (H12:H14)

Press enter to insert the formula in all of the selected cells

To calculate the results as percentages, divide the function by the number of records in the data and multiply by 100. You can do this by modifying the formula as follows:

=FREQUENCY(data_range,bin_range)/COUNT(data_range)*100

Replace "data_range" and "bin_range" with the appropriate cell references.

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Use BODMAS

first solving 12×8

which is = 12×8=96

than add +5

so, 96+5= 101

Answer: 12x8=26+5= 31

Step-by-step explanation:

The minimum distance you can park from a driveway leading from a fire department can vary depending on the local laws and regulations in your area.

However, it is important to keep in mind that fire departments need clear and unobstructed access to their driveways at all times, in case of an emergency.
In many areas, the law requires a minimum distance of 20 feet from the edge of a fire department driveway to the nearest parked vehicle. This distance allows fire trucks and emergency vehicles enough space to turn, enter, and exit the driveway without any obstruction or delay.
It is also important to note that blocking a fire department driveway can result in a hefty fine or even a vehicle being towed away. This is because obstructing the entrance and exit to a fire department can cause unnecessary delay, which can be dangerous or even fatal in emergency situations.
Overall, it is important to always be aware of your surroundings and the laws in your area when parking near a fire department or any other emergency service. By doing so, you can ensure the safety and accessibility of these essential services at all times.

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we have the expression

Remember that

substitute

therefore

a=6

b=2

The answer should be A because when I put them on a graph they were in the shape of a square/rectangle

Using the formula for the area of a rectangle is, A = l×w where l represents the length of the rectangle and w represents its width, the area of a rectangle with the length of 3.5 centimeters and a width of 2.2 centimeters will be  7.7 cm^2.

The area of the rectangle can be calculated using the formula,

(A = l×w )

and the  l = the length of the rectangle

w = represents the width of the rectangle

Then to calculate the area of the rectangle, we can substitute the values that is been given as :

(A = l×w )

A = (2.2 * 3.5) = 7.7 cm^2

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Answer:

7.7

Step-by-step explanation:

The answer was already in the question... He must've edited it or somethin'

The amount between  $2 and $10 wiill be: (A) $8, (B) $10,  (C) $50 - ∞ ,  (D) Khushboo ,(E) Real fruit, (F) Chips

What I an amount between $2 and $10? (A) $8

What I an amount between $10 and $20? (B) $10

What I an amount greater than $50? (C) $50 - ∞

What I your name? (D) Khushboo

What I the name of an item that you will buy only once? (E) Real fruit

What I the name of an item that you will buy more than once? (F) Chips

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The mixture consists in using 2 / 5 of peanut costing P. 240 per kilogram and 3 / 5 of peanut costing P. 340 per kilogram to get a profit of 20 % per kilogram.

In this question we must create a mixture with two kinds of peanuts such that the vendor may obtain a 20 % profit for the sale. First, determine the cost formula of the mixture by weighted averages:

c = 240 · x + 340 · (1 - x)

c = 340 - 100 · x

Second, find the ratio of each ratio by using a profit function:

360 = 1.2 · c

360 = 1.2 · (340 - 100 · x)

360 = 408 - 120 · x

120 · x = 408 - 360

120 · x = 48

x = 2 / 5

The mixture must use 2 / 5 of peanut costing P. 240 per kilogram and 3 / 5 of peanut costing P. 340 per kilogram.

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Answer: XZ = 18

Step-by-step explanation:

An Obtuse angle is an angle whose degree measure is greater than 90 and less than ... Find the measure of the angle and give the reason for knowing it. ... 2x = 26 x = 13. 18. x = ______. Alternating Exterior Angles. 8x – 4 = 160 ... What is the smallest angle? 1. ∠Q. 2. ∠P. 3. ∠R. 2. In ΔXYZ, XY = 5, YZ = 7 and XZ = 18.

Answer:

745.44 mm² (nearest hundredth)

Step-by-step explanation:

Section the shape into a semicircle, a rectangle and a triangle by drawing a line vertically through the point, and a vertical line upwards from the corner of the 12.5 mm and 32.5 mm corner.

area of semicircle = (1/2) \(\pi\)r² = 78.125\(\pi\) mm²

area of the rectangle = 12.5 x 25 = 312.5 mm²

area of triangle = 1/2 x (55 - 25) x 12.5 = 187.5 mm²

total area = 312.5 + 78.125\(\pi\) + 187.5 = 745.44 mm² (nearest hundredth)

The daming ratio should be equal to 1 for critically damped response. The correct option is: Statement 3 is wrong and Statements 1 and 2 are correct.

What is damping ratio?

The damping ratio is a measurement of how quickly the system in a damped oscillator decreases its energy over time.

The damping ratio is represented by the symbol "ζ," and it determines how quickly the system returns to equilibrium when it is displaced and released.

What is overdamped response?

When the damping ratio is greater than one, the system is said to be overdamped. It is described as a "critically damped response" when the damping ratio is equal to one.

The system is underdamped when the damping ratio is less than one.

Both statements 1 and 2 are correct.

The daming ratio should be less than unity for overdamped response and the daming ratio should be greater than unity for underdamped response. Statement 3 is incorrect.

The daming ratio should be equal to 1 for critically damped response.

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Answer:

A. 2

Step-by-step explanation:

Well let’s first graph the following,

\(x^2 + y = 8\)

\(x=y\)

So on the graph the system of equations only have 2 real solutions which are

(-3.272, -3.272) (2.372,2.372)

Answer:

q = 35/5

Step-by-step explanation:

Let's solve your equation step-by-step

q/8 = 4/5

Step 1: Cross-multiply.

q/8 = 4/5

q*(5)=(4)*(8)

5q=32

Step 2: Divide both sides by 5.

5q/5 = 32/5

q = 35/5

Maya drove on the mountains for her trip. Due to traffic, her average rate of miles per hour was faster at the time of coming back to her home than going on her trip. Thus, The distance between where she lives and the mountains is

288 miles .

Let's consider that Maya live x miles from the mountains.

Let her rate to mountains be y miles/h.

we have given that

Driveing time taken by Maya going from home to trip location= 9 hours due to traffic

total return time taken by her = 4 hours

average rate = 40 miles/hour

Using rate formula,

Rate = distance/time

=> distance (d) = rate (r) × time (t)

so, x/y = 9

=> x=9y --(1)

Return trip 4 hours then rate = y+40

=> x/(y+40) =4 --(2)

using Substitution method, x= 3 substitute in (2)

=> 9y/(y+40)=4

=> 9y=4y+160

=> 9y-4y=160

=> 5y=160

=> y= 160/5

=> y=32

Now, x=9y

x=9×32= 288 miles

Hence, distance to the mountain is 288 miles.

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Complete question:

Maria drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 9 hours. When Maria drove home, there was no traffic and the trip only took 4 hours. If her average rate was 40 miles per hour faster on the trip home, how far away does Maria live from the mountains?

Do not do any rounding.

The correct answer is d) The dependent variable has to be qualitative dichotomous (binary), and the independent variables can be of any kind.

In logistic regression, the dependent variable is categorical with two levels (dichotomous), representing two mutually exclusive outcomes. The independent variables, on the other hand, can be either qualitative or quantitative.

There is no restriction on the type of independent variables in logistic regression. They can be dichotomous, ordinal, or continuous variables.

Logistic regression models the relationship between the independent variables and the probability of the dependent variable belonging to a specific category.

It estimates the odds or log-odds (logit) of the dependent variable given the independent variables. The model can include multiple independent variables to capture their collective influence on the dependent variable.

So, among the given options, option d) correctly describes the requirements of a logistic regression model.

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Answer:

Step-by-step explanation:

The formula:

\(mean+/-z\frac{s}{\sqrt{n} }\)

mean = 187

z = 2

s = 21

n = 123

\(187+2\frac{21}{\sqrt{123} }\) and \(187-2\frac{21}{\sqrt{123} }\)

190.79 and 183.21

Answer is between 183.21 - 190.79

Answer:

C

A parallelogram has 2 sets of parallel lines, but this has only one.

It will take 10 days for 1023 students to know the secret.

We can start by using the formula for exponential growth: n = 2^k

where n is the number of students who know the secret and k is the number of days.

On Monday, 1 student knew the secret (Jessica). On Tuesday, 2 students knew the secret. On Wednesday, 2 x 2 = 4 students knew the secret. And so on, each day the number of students who know the secret doubles.

We want to find k when n = 1023, so we can solve for k:

1023 = 2^k

log2 1023 = k

k = 10

So, it takes 10 days for 1023 students to know the secret. Since Monday was the first day, the 10th day is 10 days after Monday, which is a Thursday. Therefore, on Thursday, 1023 students will know the secret.

Therefore, It will take 10 days for 1023 students to know the secret.

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It will take 10 days for 1023 students to know the secret.

We can start by using the formula for exponential growth: n = 2^k

where n is the number of students who know the secret and k is the number of days.

On Monday, 1 student knew the secret (Jessica). On Tuesday, 2 students knew the secret. On Wednesday, 2 x 2 = 4 students knew the secret. And so on, each day the number of students who know the secret doubles.

We want to find k when n = 1023, so we can solve for k:

1023 = 2^k

log2 (1023) = k

k = 10

So, it takes 10 days for 1023 students to know the secret. Since Monday was the first day, the 10th day is 10 days after Monday, which is a Thursday. Therefore, on Thursday, 1023 students will know the secret.

Therefore, It will take 10 days for 1023 students to know the secret.

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The probability of choosing 2 red marbles is 2/11

The probability of selecting a specific color marble is given as

                                           P = \(\frac{n}{N}\)

where, \(n\) =  Number of a specific color marble

and     \(N\)  = Total number of marbles

Now, given an urn containing 6 blue and 5 red marbles

here, n = 5

and   N = 11

Hence the probability of selecting a red marble is given as

                                 P = \(\frac{5}{11}\)

Now grab another red marble without replacing the first one,

then,   n = 4

and     N = 10

Hence the probability of selecting 2nd red marble is given as

                                 P = \(\frac{4}{10}\)

Now, the probability of choosing 2 red marbles is given as

                                 P = \(\frac{5}{11}*\frac{4}{10}\)

=>                             P = \(\frac{2}{11}\)

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Answer:

49

Step-by-step explanation:

20+4=24 24+25=49

Answer:

After reflection over the x-axis, we have the coordinates as follows;

A’ (5,-2)

B’ ( 1,-2)

C’ (3,-6)

Step-by-step explanation:

Here, we want to find the coordinates A’ B’ and C’ after a reflection over the x-axis

By reflecting over the x-axis, the y-coordinate is bound to change in sign

So if we have a Point (x,y) and we reflect over the x-axis, the image of the point after reflection would turn to (x,-y)

We simply go on to negate the value of the y-coordinate

Mathematically if we apply these to the given points, what we get are the following;

A’ (5,-2)

B’ ( 1,-2)

C’ (3,-6)

On solving the provided question, we can say that Considering that the test statistic inside the lower tail the rejection zone, the null hypothesis should be rejected.

A null hypothesis is a kind of statistical hypothesis that asserts that a specific set of observations has no statistical significance. Using sample data, hypotheses are tested to determine their viability. Sometimes known as "zero" and symbolized by H0. Researchers start off with the presumption that there is a link between the variables. In contrast, the null hypothesis claims that there is no such association. Although the null hypothesis may not appear noteworthy, it is a crucial component of research.

\(H0:p=0.25\) (null hypothesis)

\(H0:p \neq 0.25\) (alternative hypothesis)

Do not reject the null because the test statistic\((-1.2) is >\) \(the critical value (-1.7531)\)

Considering that the test statistic is inside the lower tail of the rejection zone, the null hypothesis should be rejected.

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Answer:

0.25

Step-by-step explanation:

maybe this will work .

The new mean is 281.

What is mean?

In mathematics, particularly in statistics, there are many different mean types. Each mean aids in the summary of a particular set of data, frequently serving to assess the overall importance of a given data set. The three different varieties of Pythagorean means are the arithmetic mean, geometric mean, and harmonic mean.

Here, we have

Given: You are given the following set of data. Its mean is 306.

250, 295, 315, 325, 345

If 25 is subtracted from each value, then we have to find the new mean.

Here, the number of elements is 5.

If 25 is subtracted from each value, the new mean can be evaluated as below,

New mean = (Old mean × 5 - 25 × 5)/5

⇒ (306 × 5 - 25 × 5)/5

= (1530 - 125)/5

= 281

Hence, the new mean is 281.

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a)There are three possible outcomes for two tosses:HT, TH, and TT.

b)Therefore, the number of different outcomes with exactly four heads is 495.

c)Therefore, the number of outcomes that have at least two heads is equal to:2¹² – 13 = 4,083

d)The complement principle, the number of outcomes with at most eight heads is equal to 2¹² – 1 = 4,095

Let us assume that there are only two possible outcomes for each toss. In this case, we can make a simple list of all possible outcomes that are possible. One outcome, for example, would be heads or tails, which could be written as HT or TH.

There are three possible outcomes for two tosses:HT, TH, and TT.

There are four possible outcomes for three tosses:HHH, HHT, HTH, and THH.

Therefore, in the case of twelve coin tosses, there are a total of 2¹² or 4,096 possible outcomes.  

b)Four heads must occur in one of the twelve coin tosses for there to be exactly four heads.

There are 12 possible places for the four heads to occur. The other eight spots must be tails.

The total number of ways to choose four spots from twelve spots is equal to 12C4.

Therefore, the number of different outcomes with exactly four heads is 495.  

c)To determine how many different outcomes have at least two heads, we can use the complement principle.

To begin with, we must determine the number of outcomes in which zero or one heads occur.

There is only one possibility for zero heads: TTTTTTTTTTTT. There are twelve possibilities for one head.

This one head can be in one of twelve positions, and the other eleven positions must be tails.

Therefore, there are 12 + 1 or 13 possible outcomes that contain zero or one head.  

The total number of possible outcomes is 2¹², as we have previously stated.  

Therefore, the number of outcomes that have at least two heads is equal to:2¹² – 13 = 4,083  

d)There are two possible methods for counting the number of different outcomes with at most eight heads, depending on whether we are interested in finding the actual outcomes or simply the number of outcomes.

The number of different outcomes is 2¹² or 4,096, as we have previously stated.

The number of outcomes with at least nine heads is one, since there must be nine heads in one of the twelve coin tosses.

Using the complement principle, the number of outcomes with at most eight heads is equal to 2¹² – 1 = 4,095

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Answer:

Question: To map rectangle NPQR onto congruent rectangle STUV, the homeowner could reflect rectangle NPQR across the ___,and the image of point Q would be point ___.

Answer: Y-axis & (6,3) or just 6, or just 3.

Answer: First Drop down: y-axis Second drop down: Point U, because its reflecting.

Step-by-step explanation:

Using trend-adjusted exponential smoothing with alpha = 0.1 and beta = 0.2, the forecast for the architectural firm's August income is $94.92 thousand dollars. The mean squared error (MSE) for this forecast is 2.12 \((thousand dollars)^2\).

Trend-adjusted exponential smoothing combines exponential smoothing with a trend adjustment factor. The forecast for a given period is calculated based on the previous forecast and the previous trend value. In this case, the initial forecast for February is given as $85.0 thousand dollars, and the initial trend adjustment is 0.

To calculate the forecast for each month, we use the following formulas:

Level forecast = Previous level forecast + Previous trend adjustment

Trend forecast = Previous trend forecast + Beta * (Current level forecast - Previous level forecast)

Forecast for next period = Level forecast + Trend forecast

Using these formulas, we can calculate the forecasts for each month from February to July. Then, for August, we can apply the trend adjustment formula using the previous level forecast and trend forecast. The resulting forecast for August is $94.92 thousand dollars.

The mean squared error (MSE) is a measure of the accuracy of the forecast. It is calculated by taking the average of the squared differences between the actual income values and the forecasted values. In this case, the MSE for the forecast developed using trend-adjusted exponential smoothing is 2.12 \((thousand dollars)^2\). A lower MSE indicates a better fit between the forecast and the actual data.

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Magda said the typical measure of orange juice in a full family-size jug is 1 gal in value.

A finite collection of symbols that are properly created in line with context-dependent criteria is referred to as an expression, sometimes known as a mathematical expression. Operations include addition, subtraction, multiplication, and division.

The collection of mathematical symbols that emerges from the right arrangement of numbers is known as a mathematical expression and variables using operations like addition, subtraction, multiplication, division, exponentiation, and other as-yet-unlearned operations and functions.

The three different types of algebraic expressions are monomial, binomial, and polynomial.

The complete question is : In a math question, Magda correctly answered a question that asked for a typical measure of orange juice in a full family-size jug. Which was her answer?

a. 2 cups

b. 1 gal

c. 10 gal

d. 10 fl oz

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