No, that does not make sense. When you subtract, you add the opposite. That means you’re adding two positive numbers. When you add two positive numbers, the result is positive.

Answer:

When rotating any polygon 90 degrees, each vertice/point of the polygon should be changed from (x, y) to (y, -x). Because of this, E(-7, -4) should be E'(-4, 7), F(-2, -1) should be F'(-1, 2), and G(-5, -8) should be G'(-8, 5) after the rotation.

Step-by-step explanation:

Like I explained above, when rotating a shape 90 degrees clockwise on a plane, the points change from (x, y) to (y, -x). The student changed each point from (x, y) to (-y, x), which is a 90 degree counterclockwise rotation. That is why the student is incorrect.

I hoped this helped! Sorry, I am terrible at explaining things. :)

The correct statement is the first one. g(x) exceeds f(x) by 72.

By looking at the table, we can see that f(x) is a linear function and g(x) is an exponential function, such that:

f(x) = 10 + 3x

g(x) = (1/2)^x

By evaluating these functions in x = -6 we get:

\(f(-6) = 10 - 3*6 = -8\)

\(g(-6) = (1/2)^{-6} = 64\)

The difference is:

g(-6) - f(-6) = 64 + 8 = 72

Then the correct option is the first one, g(x) exceeds f(x) by 72.

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a. The probability that the system will operate as shown is approximately 0.6141.

b. Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

a. To find the probability that the system will operate as shown, we multiply the probabilities of each component. Since the system is shown to have three components with a probability of 0.85 each, we can calculate:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141

The probability that the system will operate as shown is approximately 0.6141.

b. In this case, each system component has a backup with a probability of 0.85 and a switch that is 100% reliable. Since the backup has a probability of 0.85, and the switch is 100% reliable (probability = 1), we can calculate the probability as:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. In this scenario, each system component has a backup with a probability of 0.85, but the switch is 90% reliable (probability = 0.90). We can calculate the probability as:

Probability = 0.85 × 0.90 × 0.85

Probability ≈ 0.6485

The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

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Answer:

52.2%

Step-by-step explanation:

To find a percentage of something you divide the amount by the maximum number:

11 + 12 = 23

12 ÷ 23 = 0.5217 = 1%

Then times 0.5217 by 100 to get the percentage of male employees

Hope that helped!

Answer:

It's C :D

Step-by-step explanation:

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\(y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{2}}x-6\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

so for a perpendicular line to that one then

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{1}{2}} ~\hfill \stackrel{reciprocal}{\cfrac{2}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{2}{1}\implies -2}}\)

so we're really looking for the equation of a line whose slope is -2 and that it passes through (2 , -1)

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-1})\hspace{10em} \stackrel{slope}{m} ~=~ - 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{- 2}(x-\stackrel{x_1}{2}) \implies y +1= -2 (x -2) \\\\\\ y+1=-2x+4\implies {\LARGE \begin{array}{llll} y=-2x+3 \end{array}}\)

The rate at which the volume of the box of height 10 inches is changing when the width is 8 inches and the length is 6 inches is 440 cubic inches per second

The volume of a rectangular box is the product of the length, the width and the height of the box.

The height of the rectangular box, h = 10 inches

The rate of change of the length of the box is; \(\frac{dl}{dt}\) = 2 in/sec

The rate at which the width is decreasing is; \(\frac{dw}{dt}\) = 4 in/sec

When the length is 8 inches and the width is 6 inches, we get;

\(\dfrac{dV}{dt} = \dfrac{d}{dt} \left(l\cdot w \cdot h\right)\)

\(\dfrac{dV}{dt} =h\times \left(l\cdot \dfrac{dw}{dt} + w \cdot \dfrac{dl}{dt} \right)\)

When l = 8, and w = 6, we get;

\(\dfrac{dV}{dt} =10\times \left(8\times 4 + 6 \times 2 \right)=440\)

The rate at which the volume of the rectangular box is changing in cubic inches per second is therefore;

\(\dfrac{dV}{dt} =440 \ in^3/sec\)

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Answer:

b

Step-by-step explanation:

Answer:

In the centre of a triangle

Step-by-step explanation:

Based on the information, we can determine convergence or divergence of series.The given options do not provide a clear representation of potential outcomes.It is not possible to select correct option.

The given series is "nvž enn |||-) En=12 100 1-) Σπίο 3* 2"-1 ||-) En=2 n". In the series, we have the characters "nvž enn |||-)" which indicate the series notation. The characters "En=12 100 1-" suggest that there is a summation of terms starting from n = 12, with 100 as the first term and a common difference of 1. The characters "Σπίο 3* 2"-1 ||-) En=2 n" indicate another summation, starting from n = 2, with a pattern involving the operation of multiplying the previous term by 3 and subtracting 1.

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The mean of this binomial distribution and the mean of the Poisson distribution used to approximate it are both 7.

The mean of a binomial distribution is calculated using the formula: mean = n × p, where n is the number of trials and p is the probability of success in each trial.

In this case, n=500 and p=1.4% or 0.014.

So, the mean of this binomial distribution would be: mean = 500 × 0.014 = 7

The mean of the Poisson distribution used to approximate it would also be 7, as the Poisson distribution is used to approximate the binomial distribution when n is large and p is small, and the mean of the Poisson distribution is equal to the mean of the binomial distribution.

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Answer: B=1

Step-by-step explanation:

\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

\( \sf \: 12.95p = 44\)

Divide both sides by 12.95.

\( \sf \: p=\frac{44}{12.95} \\ \)

Expand 44/12.95 by multiplying both the numerator and denominator by 100.

\( \sf \: p=\frac{4400}{1295} \\ \)

Reduce the fraction 4400/1295 to its lowest terms by extracting and cancelling out 5.

\( \boxed{ \boxed{ \bf p = \frac{880}{259} = 3\frac{103}{259} \approx 3.39}}\)

Answer:

(–2.1)(3) + (–2.1)(0.4)

Step-by-step explanation:

It's D

Answer:

D

Step-by-step explanation:

Took the test ;)

Answer:

B) Sample. There are too many to count.

Step-by-step explanation:

You can only check a portion of all the fish. It would take too much work and manpower to check every single fish.

Answer:

14:20

or 14.13333

Step-by-step explanation:

212hours x 60seconds= 12720seconds

12720seconds/15miles= 848 seconds per mile

848seconds/60seconds=14.13

14 minutes

.13x60=19.98

20 seconds

14mins+20secs=14:20

on average, it takes Katerina approximately 848 minutes to run 1 mile.

To find the average number of minutes it takes Katerina to run 1 mile, we need to convert the given time from hours to minutes and then divide it by the distance.

Given:

Distance = 15 miles

Time = 212 hours

To convert 212 hours to minutes, we multiply it by 60 since there are 60 minutes in an hour:

212 hours * 60 minutes/hour = 12,720 minutes

Now, we can calculate the average time it takes Katerina to run 1 mile:

Average time = Total time / Distance

Average time = 12,720 minutes / 15 miles

Average time to run 1 mile = 848 minutes/mile

Therefore, on average, it takes Katerina approximately 848 minutes to run 1 mile.

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The Hermite curve with four control points P0(0,0), P1(1,1), P2(2,-1), and P3(3,0) has tangent vectors P0'(1,1) and P3'(1,1) at the endpoints. To determine the intermediate points on the curve at t = 1/3 and t = 2/3, we can use the Hermite interpolation formula.

The Hermite interpolation formula allows us to construct a curve based on given control points and tangent vectors. In this case, we have four control points P0, P1, P2, and P3, and tangent vectors P0' and P3'.

To find the intermediate point at t = 1/3, we use the Hermite interpolation formula:

P(t) = \((2t^3 - 3t^2 + 1)P0 + (-2t^3 + 3t^2)P3 + (t^3 - 2t^2 + t)P0' + (t^3 - t^2)P3'\)

Substituting the given values:

\(P(1/3) = (2(1/3)^3 - 3(1/3)^2 + 1)(0,0) + (-2(1/3)^3 + 3(1/3)^2)(3,0) + ((1/3)^3 - 2(1/3)^2 + (1/3))(1,1) + ((1/3)^3 - (1/3)^2)(1,1)\)

Simplifying the equation, we can find the coordinates of the intermediate point at t = 1/3.

Similarly, for t = 2/3, we use the same formula:

\(P(2/3) = (2(2/3)^3 - 3(2/3)^2 + 1)(0,0) + (-2(2/3)^3 + 3(2/3)^2)(3,0) + ((2/3)^3 - 2(2/3)^2 + (2/3))(1,1) + ((2/3)^3 - (2/3)^2)(1,1)\)

Calculating the equation yields the coordinates of the intermediate point at t = 2/3.

In this way, we can use the Hermite interpolation formula to determine the intermediate points on the Hermite curve at t = 1/3 and t = 2/3 based on the given control points and tangent vectors.

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The restaurant salesman will pay a commission of $1,052

Commission is the amount of money that is paid to a worker when a work is completed.

The commission rate of the total sales is 4%

= 4/100

= 0.04

The total sales for the week is $26,300

The commission that will be paid can be calculated as follows

= 26,300 × 0.04

= 1.052

Hence the amount of commission that will be paid is $1,052

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Answer:

It would either be A or B. But I would go with A

Step-by-step explanation:

It cant be C because the angles are not equivalent and it cannot be D because C is not right either. I hope this helps.

An initial amount of $725,000, an APR of 6.25%, and a desired time frame of 22 years, the monthly withdrawal amount would be approximately $4,491.95.

To calculate the monthly withdrawal amount that would completely exhaust your savings in 22 years, we can use the present value of an ordinary annuity formula. The present value (PV) represents the initial amount you have, the interest rate per period (i) is the monthly interest rate, and the number of periods (n) is the total number of months.

Here's the step-by-step calculation:

Convert the APR to a monthly interest rate:

Monthly interest rate (i) = Annual interest rate / Number of compounding periods per year

i = 6.25% / 12 = 0.0625 / 12 = 0.00521 (rounded to 5 decimal places)

Determine the total number of periods:

Total number of periods (n) = Number of years * Number of compounding periods per year

n = 22 * 12 = 264

Use the present value of an ordinary annuity formula to calculate the monthly withdrawal amount (PMT):

PMT = PV / [(1 - (1 + i)^(-n)) / i]

In this case, PV = $725,000

PMT = $725,000 / [(1 - (1 + 0.00521)^(-264)) / 0.00521]

Calculate the monthly withdrawal amount using a financial calculator or spreadsheet software:

PMT ≈ $4,491.95 (rounded to the nearest cent)

Therefore, you can withdraw approximately $4,491.95 per month to completely exhaust your savings in 22 years assuming monthly compounding.

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down. as you see it says -5m/s so its down hope thats help full

Backwards

Step-by-step explanation:

The sample proportion would be 0.5.we can calculate the proportion by plugging in n = 90, which yields a proportion of 0.5.

To determine what sample proportion would yield a p-value of 0.05, we must first understand the formula for calculating a p-value. The formula for a p-value is p-value = 1 - \((1 - proportion)^n\), where n is the sample size. By manipulating this equation, we can solve for the proportion when the p-value is equal to 0.05. We can isolate the proportion by taking the inverse of both sides of the equation, which yields: proportion = 1 - \((1 - 0.05)^(1/n)\). Since the sample size is 90, we can calculate the proportion by plugging in n = 90, which yields a proportion of 0.5.

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The proportion of American households who expect to buy a new car next year is[0.3191, 0.3609].

The Four answer choices:

[0.3152, 0.3648]

[0.3191, 0.3609]

[0.3394, 0.3406]

[0.3354, 0.3446]

According to the survey, 1,400 American households are expected to buy a new car next year. According to respondents, 34% plan on buying a new car next year.

The confidence interval for a population proportion is given by the following equation for large random samples

Sample proportion ± z × \(\frac{\sqrt{(sample proportion(1-sample proportion)}}{n}\)

whereas z is a multiplier number that comes from the normal curve and determines the level of confidence.

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sas its sas oof hope this helps

Answer:

72⁰

Step-by-step explanation:

180-36= 144 (angles in a triangle=180)

144/2=72 (parallel lines are equal)

The real area of the terrace is 300 square meters. If the scale of the drawing is 1:200, it means that 1 cm on the drawing represents 200 cm in real life. Therefore, to find the real dimensions of the terrace.

We need to multiply the dimensions on the drawing by 200.

The length of the terrace in real life is:

7.5 cm x 200 = 1500 cm

The width of the terrace in real life is:

10 cm x 200 = 2000 cm

The area of the terrace in real life is:

1500 cm x 2000 cm = 3,000,000 cm²

To convert the area to square meters, we need to divide by 10,000 (since 1 m² = 10,000 cm²):

3,000,000 cm² ÷ 10,000 = 300 m²

Therefore, the real area of the terrace is 300 square meters.

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Answer:

D

Step-by-step explanation: