Find the area of the shape shown below.
24
25
8
units?
HELP

Using metric system , we have cοme tο find that Bucky walked 25.908 meter.

Metric system is a prοcess οf measuring things. It is used tο measure length, vοlume , weight , capacity etc. In metric system οne unit can be cοnverted intο anοther unit.

Given that Bucky walked 85 feet. His friend in Canada wanted tο

knοw hοw many meters he walked.

Given that 1 fοοt = .3048 meter

Tο cοnvert 85 feet tο meter we are gοing tο use the metric system.

1 fοοt = 0.3048 meter

85 fοοt = 85 × 0.3048 meter [ Since in metric system , tο cοvert a unit frοm anοther unit either have tο multiply οr have tο divide the unit]

By multiplying we get 25.908 meter.

Hence, Bucky walked 25.908 meter.

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Answer:

The perimeter of the triangle is approximately equal to 18

Step-by-step explanation:

The coordinates of the vertices of the triangle are (-3, -1), (2, 3), and (5, 2)

The formula for the lengths, l, of the sides of the triangle, given their end points coordinates is presented as follows;

\(l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}\)

The lengths of the segments that make up the triangle are therefore;

Between the vertex points (-3, -1) and (2, 3), we have, √((-3 - 2)² + (-1 - 3)²) = √41

Between the vertex points (-3, -1) and (5, 2), we have, √((-3 - 5)² + (-1 - 2)²) = √73

Between the vertex points (2, 3) and (5, 2), we have, √((2 - 5)² + (3 - 2)²) = √10

Therefore;

The perimeter of the triangle = The sum of the lengths of the sides of the triangle =  √41 + √73 + √10

The perimeter of the triangle = √41 + √73 + √10 ≈ 18.1094

∴ The perimeter of the triangle ≈ 18, after rounding to the nearest whole number.

Answer:

£12,362.70

Step-by-step explanation:

I used the compound interest formula to work this out.

£12,000 (original amount) x 1.015²

1.015 = 1.5% --- squared because the investment was 2 years.

Hope this helps :D

Answer: wheres the table

Step-by-step explanation:

Answer:

3rd option: {0}

Step-by-step explanation:

Critical points of a function are where \(f'(x)=0\), therefore:

\(f(x)=\frac{x^2-1}{x^2-4}\\\\f'(x)=\frac{(x^2-4)(2x)-(x^2-1)(2x)}{(x^2-4)^2}\\ \\f'(x)=-\frac{6x}{(x^2-4)^2}\\\\0=-\frac{6x}{(x^2-4)^2}\\\\0=-6x\\\\x=0\)

This means that the set of x-values that identifies all critical points of the function is {0}.

To approximate the area under the graph of f(x) = 1/x^2 over the interval [2, 4] using four equal subintervals and the right endpoint method, we can use the following formula:

Approximate Area = Δx * [f(x1) + f(x2) + f(x3) + f(x4)]

where Δx is the width of each subinterval and xi represents the right endpoint of each subinterval.

In this case, the interval [2, 4] is divided into four equal subintervals, so Δx = (4 - 2) / 4 = 0.5.

Now, let's evaluate the function at the right endpoints of the subintervals:

f(2.5) = 1/(2.5)^2 = 0.16

f(3) = 1/(3)^2 = 0.1111

f(3.5) = 1/(3.5)^2 = 0.0816

f(4) = 1/(4)^2 = 0.0625

Substituting these values into the formula:

Approximate Area = 0.5 * [0.16 + 0.1111 + 0.0816 + 0.0625]

Approximate Area = 0.5 * 0.4152

Approximate Area = 0.2076

Therefore, the approximate area under the graph of f(x) = 1/x^2 over the interval [2, 4] using four equal subintervals and the right endpoint method is approximately 0.2076.

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Therefore, the linearization of \(y = e^{(10x)}\) ln(x) at a = 1 is given by: L(x) = \(11e^{10(x - 1)}.\)

To find the linearization of the function \(y = e^{(10x)}\) ln(x) at a = 1, we will use the formula for the linearization:

L(x) = f(a) + f'(a)(x - a)

First, let's evaluate f(a) and f'(a) at a = 1:

\(f(a) = e^{(10a)} ln(a)\)

\(f'(a) = 10e^{(10a)} ln(a) + e^{(10a)} / a\)

Now, substitute a = 1 into the above expressions to get the values at a = 1:

\(f(1) = e^{(101)} ln(1)\)

\(= e^{10} * 0\)

= 0

\(f'(1) = 10e^{(101)} ln(1) + e^{(10*1)} / 1\)

\(= 10e^{10} + e^{10}\)

\(= 11e^{10}\)

Finally, substitute these values into the linearization formula:

\(L(x) = 0 + 11e^{10(x - 1)}\\L(x) = 11e^{10(x - 1)}\)

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The amount of money we can make is $0.05.

We have,

P= $710

R= 5.1%

T= 12 year

Compounded Continuously:

A = P\(e^{rt\)

A = 710.00(2.71828\()^{(0.051)(12)\)

A = $1,309.32

Compounded Daily:

A = P(1 + r/n\()^{nt\)

A = 710.00(1 + 0.051/365\()^{(365)(12)\)

A = 710.00(1 + 0.00013972602739726\()^{(4380)\)

A = $1,309.27

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Sample size required is 333, 42, 97 and 33,285, respectively using  confidence level and different parameters of standard deviation.

To estimate a population mean to within 40 units with 99% confidence and a population standard deviation of 200, the sample size required can be calculated using the formula

n = (Zα/2)² * (σ²) / (E²)

where Zα/2 is the z-score corresponding to the desired level of confidence (99% in this case), σ is the population standard deviation, and E is the desired margin of error (40 units).

Plugging in the values, we get

n = (2.576)² * (200)²/ (40)²

n = 332.84

Therefore, a sample size of at least 333 should be used.

If the population standard deviation is changed to 50, the same formula can be used with the new value of σ:

n = (2.576)² * (50)²/ (40)²

n = 41.68

Therefore, a sample size of at least 42 should be used.

If using a 95% confidence level, the z-score changes to 1.96

n = (1.96)² * (200)²/ (40)²

n = 96.04

Therefore, a sample size of at least 97 should be used.

To estimate the population mean to within 10 units, the margin of error (E) is changed to 10 in the formula, and the sample size is recalculated

n = (2.576)² * (200)² / (10)²

n = 33,284

Therefore, a sample size of at least 33,285 should be used.

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The required sample size should be 166 to estimate the population mean within 40 units with 99% confidence, given a population standard deviation of 200.

To determine the required sample size for estimating a population mean with a given level of confidence and margin of error, we can use the formula:

n = (Z * σ / E)^2

Where:

n = Sample size

Z = Z-score corresponding to the desired confidence level (in this case, 99% confidence corresponds to a Z-score of 2.576)

σ = Population standard deviation

E = Margin of error (in this case, 40 units)

Substituting the given values into the formula, we have:

n = (2.576 * 200 / 40)^2

Simplifying further:

n = (12.88)^2

n ≈ 165.6544

Since the sample size must be a whole number, we round up the value to the nearest integer:

n = 166

Therefore, the required sample size should be 166 to estimate the population mean within 40 units with 99% confidence, given a population standard deviation of 200.

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It will take 35 years to double the population

Percentages are just fractions with a denominator of 100. To show that a number is a percentage, we place the percent sign (%) next to it. For instance, if you properly answered 68 out of 100 questions on a test, you would have received a 68% grade (68/100).

According to the given information

Let \(P(0)\) be initial population

and K be the growth rate

Then Population of the country after t years

\(P = P(0)e^{Kt}\)

Let x be the present population

2x will be the double of present population

And we know

The growth rate K = 0.02%

So

The value of t could be determined as follows

\(xe^{0.02t}=2x\)

\(e^{0.02}=2\)

\(0.02t=ln(2)\)

Multiply both sides by 1000

0.02t × 1000 = ln(2) × 1000

Refine

20t = ln(2) × 1000

Divide both sides by 20

\(\frac{20t}{20}=\frac{ln(2).1000}{20}\)

t = \(ln(2).500\)

t = 0.693×50

t = 34.65 years

t = 35 years

It will take 35 years to double the population

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Answer:

3  1/100

Step-by-step explanation:

Place the decimal number over a power of ten.

Answer:

(-2, 9)

Step-by-step explanation:

1) Multiply each term of the top equation by two.

2(x) + 2(y) = 2(7)

2x + 2y = 14

2) Use elimination to get rid of the y's

 2x + 2y = 14

-(5x + 2y = 8)

Translates to...

    2x + 2y = 14

+ (-5x - 2y = -8)

=  -3x = 6

3) Solve for x by dividing each side of the equation by -3.

\(\frac{-3x}{-3} = \frac{6}{-3}\)

x = -2

4) Plug in x to find the y-value

x + y = 7

-2 + y = 7

-2 + 2 + y = 7 + 2

y = 9

I hope this helps!

Answer:

3/5

Step-by-step explanation:

C. The assumption of abnormality of the residuals is not a requirement for regression analysis. While normality of the residuals can be helpful for certain statistical tests and inference, it is not an essential assumption for conducting regression analysis.



The assumption that is not part of the regression method is "Abnormality of the residuals".  Regression analysis assumes several key conditions for accurate results.

1. Constant variance of the residuals: This assumption, also known as homoscedasticity, means that the spread of the residuals (the differences between the actual and predicted values) remains the same across all levels of the predictor variables. In other words, the variability of the errors should be constant throughout the range of values.
2. Linearity: This assumption states that the relationship between the predictor variables and the response variable is linear. It means that the change in the response variable is proportional to the change in the predictor variables. If the relationship is nonlinear, it may affect the validity of the regression results.

3. Independence of the residuals: This assumption requires that the residuals are not correlated with each other. It means that the errors for one observation should not be influenced by the errors of another observation. If the residuals are correlated, it can lead to biased and inefficient estimates.
However, the assumption of abnormality of the residuals is not part of the regression method. While the normality assumption can be useful for certain statistical tests and inference, it is not necessary for the regression analysis itself. In fact, regression can still provide valid results even if the residuals are not normally distributed.

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Answer:

12 square units

Step-by-step explanation:

formula= a+b/2×h

a=2

b=6

h=3

the answer will be = 2+6/2×3

=8/2×3

=4×3

=12

Answer:

17 square units i think

Answer:

6

Step-by-step explanation:

volume of prism = area of cross section * height

area of cross section =162/6√3 =27/√3

since the base angles are each 60 degrees, the triangle is an equilateral triangle. for equilateral triangles, area =(√3 * side^2)/4

hence,

27/√3 = (√3 * side^2)/4

side^2 = (27/√3) / (√3/4) = 108/3 = 36

side = ±√36 = 6 or -6 (rej as side >0)

Answer:

On the sixth day (10 - 4), the worm was 2.5mm long.

Step-by-step explanation:

Giving the following information:

Future Value= 40mm

Present Value= 2.5mm

Number of periods (n)= ?

Growth rate= 100% per day

First, we need to calculate the number of days it will take to grow from 2.5mm (PV) to 40mm (FV):

n= ln(FV/PV) / ln(1+i)  

n= ln (40 / 2.5) / ln (2)

n= 4

It will take 4 days.

On the sixth day (10 - 4), the worm was 2.5mm long.

Answer: 3

10x+475≥755

Answer:

the 3rd one

Step-by-step

i think its right, i hope :)

I would implement a random sampling approach to determine the rate of smoking among teenagers.

Simple random sampling is a form of probability sampling in which a selection of participants is chosen at random from a population. Each person in the population has an equal probability of getting chosen. The data is then collected from as big a percentage of this random selection as feasible.

The Simple Random Sampling method is a dependable way of gathering information in which every member of a population is picked at random, purely by chance.

Random sampling guarantees that the findings received from your sample are close to those obtained if the full population was surveyed. The simplest random sample gives each unit in the population an equal probability of being chosen.

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the television station can show 10 45-second commercials per hour.

To convert hours into minutes, you simply multiply the number of hours by 60, since there are 60 minutes in an hour.

So, if you want to convert 3 hours into minutes, you would do:

3 hours x 60 minutes/hour = 180 minutes

Therefore, 3 hours is equivalent to 180 minutes.

There are 60 minutes in an hour, and 7 1/2 minutes is equal to 7.5 minutes.

So, the television station shows commercials for 7.5 minutes per hour.

We can convert 45 seconds to minutes by dividing it by 60:

45 seconds ÷ 60 = 0.75 minutes

To find out how many 45-second commercials the television station can show per hour, we can divide the total number of minutes of commercials by the length of each commercial:

7.5 minutes ÷ 0.75 minutes/commercial = 10 commercials

Therefore, the television station can show 10 45-second commercials per hour.

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Correct option is B, The only quadrilateral that satisfies the requirements for a kite is quadrilateral EFGH. A kite has opposed sides that are not congruent and two sets of adjacent sides that are.

One quadrilateral is a closed figure with four sides. These geometric shapes are quadrilaterals: a quadrilateral form. There is just one set of parallel sides to the shape, and there are no right angles.

Each quadrilateral has four sides, four angles, and four vertices. Its inner angles add up to 360 degrees.

4 angles

The four sides of a quadrilateral also create four angles. Here are a few quadrilateral instances. Each figure has four straight sides and four angles, as you can see. Any quadrilateral's interior angles add up to 360°.

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Complete question -

Answer:

y = \(\frac{1}{3}\) x

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here slope m = \(\frac{1}{3}\) , then

y = \(\frac{1}{3}\) x + c ← is the partial equation

to find c substitute (- 9, - 3) , that is x = - 9, y = - 3 into the partial equation

- 3 = \(\frac{1}{3}\) (- 9) + c = - 3 + c ( add 3 to both sides )

0 = c

y = \(\frac{1}{3}\) x + 0 , that is

y = \(\frac{1}{3}\) x

By the concept of obtaining HCF from prime factors, the value of a is 13.

The LCM of two or more numbers is the least common multiple of them.

The HCF of two or than two given numbers are the highest number that divides them completely.

Given, Q and R are two numbers.

Q = 2³×3×a³.

R = 2⁴×3²×a².

Also given that the highest common factor HCF of Q and R is 4056.

Therefore,

2³×3×a² = 4056.

24a² = 4056.

a² = 4056/24.

a² = 169.

a = 13.

So, The value of a is 13.

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Answer: s = 7

Step-by-step explanation:

27 is simply 9 times 3.

Thus, simply do 63/9 to get 7.

Hope it helps :)

Height = 7cm

Surface area = 462 cm2

The surface area of a cylinder is equal to the area of each circle ( pi x radius^2) plus the area of the side (2 pi x radius x height)

Surface area of a cylinder = pi r2 + pi r2 + 2pi r h

Since it is closed at one end, we only add one circle area:

S = pi r2 + 2pi r h

Replacing with the values given:

462 = pi r^2 + 2pi (r) 7

462 = pi r^2+ 43.98 r

462 -44r = pi r^2

(462-44r)/pi = r^2

147-14r = r^2

0= r^2 +14r -147

(r+21 ) (r-7)=0

r=-21 or r=7

Since it can be negative:

radius = 7

Answer:

  ₹180

Step-by-step explanation:

You want the interest to be paid at the end of 3 years if Principal = RS 600 and Rate = 10%.

The formula for the amount of interest is ...

  I = Prt

Using the given values for Principal, rate, and time, we find the interest to be ...

  I = ₹600·0.10·3 = ₹180

The interest to be paid is ₹180.

Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

y = 2x - 4 = 2(4) - 4 = 4

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).

Answer:

the mistake is the second one.

the revision is on the 4/32, try and simplify it. like 32 divided by 4= 8.

Step-by-step explanation:

well, it's in the answer.

The average of these two values is the final answer:

d = (7.5 + 3.38) / 2 = 5.44 km, rounded to the nearest kilometre, the distance is 5 km.

To determine the distance from station A to the balloon, you can use the tangent function. The formula is: d = h / tan(angle of elevation), where d is the distance, h is the height of the balloon, and angle of elevation is the angle between the line of sight from the observer to the balloon and the horizontal.

Using the first angle of elevation (57°), we can calculate the distance as:

d = h / tan(57°) = h / 1.998 = 15 / 1.998 = 7.5 km

Using the second angle of elevation (83°), we can calculate the distance as:

d = h / tan(83°) = h / 4.398 = 15 / 4.398 = 3.38 km

The average of these two values is the final answer:

d = (7.5 + 3.38) / 2 = 5.44 km, rounded to the nearest kilometre, the distance is 5 km.

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I'm sorry this isn't the answer, but I just want you to know that you are incredible and that I love you for you! You are special to everyone you meet, and should not change who you are. I know your life may be tough, but you are strong and can get through it!

Answer:

yes it is

Step-by-step explanation: