what is the formula for figuring out the area of a circle? ​

Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a diagram:

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A - observer (1.5 m above ground)

B - base of the clock tower

C - top of the clock tower

D - intersection of AB and the horizontal ground

E - point on the ground directly below C

C

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B

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A

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We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:

tan(ACD) = CE / AB

tan(19) = CE / 100

CE = 100 * tan(19)

CE ≈ 34.5 m (rounded to 1 decimal place)

Therefore, the height of the clock tower is approximately 34.5 m.

The probability that at least one of the pets selected is a puppy is approximately 0.7887 or 78.87%.

To calculate the probability that at least one of the pets is a puppy, we can find the probability of the complement event (none of the pets being a puppy) and subtract it from 1.

The total number of pets in the store is 6 puppies + 9 kittens + 4 lizards + 5 snakes = 24.

The probability of selecting a pet that is not a puppy on the first selection is (24 - 6) / 24 = 18 / 24 = 3 / 4.

Similarly, on the second selection, the probability of selecting a pet that is not a puppy is (24 - 6 - 1) / (24 - 1) = 17 / 23.

For the third selection, it is (24 - 6 - 1 - 1) / (24 - 1 - 1) = 16 / 22.

For the fourth selection, it is (24 - 6 - 1 - 1 - 1) / (24 - 1 - 1 - 1) = 15 / 21.

For the fifth selection, it is (24 - 6 - 1 - 1 - 1 - 1) / (24 - 1 - 1 - 1 - 1) = 14 / 20 = 7 / 10.

To find the probability that none of the pets is a puppy, we multiply the probabilities of not selecting a puppy on each selection:

(3/4) * (17/23) * (16/22) * (15/21) * (7/10) = 20460 / 96840 = 0.2113 (approximately).

Finally, to find the probability that at least one of the pets is a puppy, we subtract the probability of the complement event from 1:

1 - 0.2113 = 0.7887 (approximately).

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To get the unit price, divide the price for 50.5 ounces of lemonade by those 50.5 ounces, as following:

This way, we can conclude that each ounce costs $0.40

Answer: x=14⋅ 5 cm.

Step-by-step explanation:

Answer:

14.5Cm

Step-by-step explanation:

There are:

f((-1,1)) = [0,1)

f(0,1)) = (0,1)

f-'([0,1)) = (-1,1)

f-'((0,1)) = (-1,0) U (0,1)

To evaluate the sets f((-1,1)) and f(0,1)), we first need to apply the function f(x) = x^2 to the given intervals:

f((-1,1)): This set includes all the values of x^2 for x in the interval (-1,1). Since the function is non-negative for all values of x, we can write f((-1,1)) = [0,1).

f(0,1)): This set includes all the values of x^2 for x in the interval (0,1). Since the function is strictly increasing for x > 0, we can write f(0,1)) = (0,1).

Next, we need to evaluate the inverse images of these sets under the function f(x) = x^2:

f-'([0,1)): This set includes all the values of x in the domain of f(x) such that f(x) is in the interval [0,1). Since the function is non-negative for all values of x, we can write f-'([0,1)) = (-1,1).

f-'((0,1)): This set includes all the values of x in the domain of f(x) such that f(x) is in the interval (0,1). Since the function is strictly increasing for x > 0, we can write f-'((0,1)) = (-1,0) U (0,1).

Therefore, we have:

f((-1,1)) = [0,1)

f(0,1)) = (0,1)

f-'([0,1)) = (-1,1)

f-'((0,1)) = (-1,0) U (0,1)

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The procedure the researcher will use is called stratification sampling.

A stratified sample is created by separating a population into similar subpopulations (strata) and taking a representative sample from each. Stratified sampling is used by researchers to ensure that specific subgroups are represented in their samples. Additionally, it helps them estimate the characteristics of each group precisely. This method is used in many surveys in order to better understand the differences between subpopulations. The term stratified sampling is also used to refer to stratified random sampling.

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The 38th term of the sequence, rounded to the nearest thousandth, is 325.

To find the 38th term of the sequence , we observe that each term is obtained by adding 6 to the previous term. The sequence starts with 9, so we can find the 38th term by repeatedly adding 6.
Starting with 9, we add 6 to get 15 (the second term). Then, we add 6 to 15 to get 21 (the third term). We continue this pattern, adding 6 to each previous term. By repeating this process 37 times, we can find the 38th term.
Adding 6 to 21 gives us 27, then 33, 39, and so on. After performing the addition 37 times, we reach the 38th term, which is 6 times 37 plus 9 (the first term). Simplifying, we get 222 plus 9, which equals 231. Therefore, the 38th term of the sequence is 231. Rounded to the nearest thousandth, the answer is 325.

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Answer:

6.25

Step-by-step explanation:

5 is 20%

so to get 100% , multiply by 5  (20% x 5 = 100%)

5 x 5 = 25

The number is 25

To find a quarter , divide by 4 .

25 / 4 = 6.25

Answer:

To find a quarter of the number, we can use the following steps:

1. Write the given information as a fraction: 20% of a number is 5 means 20/100 * x = 5, where x is the number we want to find.

2. Solve for x by multiplying both sides by 100/20: x = 5 * 100/20 = 25. This means the number is 25.

3. Find a quarter of the number by dividing it by 4: 25 / 4 = 6.25. This means a quarter of the number is 6.25.

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Answer:

1/12

Step-by-step explanation:

See attached worksheet.

The greatest number of baskets that can be made with 24 movies, 48 packages of popcorn, and 18 boxes of candy is 6.

This is determined by finding the greatest common factor (GCF) of each item. The GCF of 24, 48, and 18 is 6. This means that 6 is the greatest number of baskets that can be made if each basket has an equal number of each of the three items.

To calculate the GCF, the prime factors of each number must be determined. The prime factors of 24 are 2 and 3 (2 x 2 x 2 x 3). The prime factors of 48 are 2 and 3 (2 x 2 x 2 x 2 x 3). The prime factors of 18 are 2 and 3 (2 x 3 x 3).

To determine the GCF, the highest power of each prime factor must be determined. In this case, the highest power of each prime factor is 3 (2 x 2 x 2 x 3). Therefore, the GCF of 24, 48, and 18 is 6. This means that the greatest number of baskets that can be made with the given items is 6.

In conclusion, the greatest number of baskets that can be made with 24 movies, 48 packages of popcorn, and 18 boxes of candy is 6. This is determined by finding the greatest common factor (GCF) of each item. The GCF of 24, 48, and 18 is 6, which means that 6 is the greatest number of baskets that can be made if each basket has an equal number of each of the three items.

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Answer:

Step-by-step explanation:

First you take width and multiply that by 2 so you can find half of the perimeter

2(4x-1.5)=8x-3

Than multiply the length by 2 to find the other half

2(1.5X+3)= 3x+6

Than add the 2 halves together

3x+6+8x-3=11x+3

The perimeter is 11x+3

The sample is the randomly selected customers.

Sampling:  

Suppose I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So i ask, lets say, 1000 randomly selected New York state residents whether they are Buffalo Bills fans, and expand this to the entire population of New York State residents.

Sampling is a process used in statistical analysis in which a predetermined number of observations are taken from a larger population. The methodology used to sample from a larger population depends on the type of analysis being performed, but it may include simple random sampling or systematic sampling.

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Answer:

b = -18

Step-by-step explanation:

to find be you need to isolate the variable. First, you have to multiply both sides by 13 to cancel the denominator. Then, add 8 to both sides to cancel the negative 8 on the left. You should be left with what x equals.

-8+b/13(13) = -2(13)

-8+b = -26

+8       +8

b = -18

Answer:

b = -18

Step-by-step explanation:

First multiply 13 on both sides which will give you

-8 + b = -26

Then add 8 to both sides and will give the answer

b = -18

The function best represent the value of hybrid car that is worth 40000 and it declines by 3% every year is  \(40,000(0.97)^{t}\)

The value of the car = 40,000

The value of car declines at the rate of 3% every year

function is represented as F(t)

F(t) = \(P( 1 - \frac{R}{100} )^{t}\)

P is principal amount value of the car which is 40,000

R is rate at which it declines every year which is 3%

t is no. of year

Putting all the values in the equation we get

F(t) = \(40000(1-\frac{3}{100} )^{t}\)

F(t) = \(40000(\frac{97}{100}) ^{t}\)

F(t) = \(40000(0.97)^{t}\)

The function represent the value of the hybrid car is \(40000(0.97)^{t}\) .

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We can interpret from the results that the distribution of data might be negatively skewed.

In the given question it is mentioned that while Morgan was analyzing her data, she notices that the value of her mean is quite a bit smaller than the value of her median.

As we know that, in statistics, when the mean is smaller than the median and mode, it indicates a negatively skewed distribution.

A negatively skewed distribution or left skewed distribution is a type of distribution in which more values are concentrated on the right side of the distribution graph while the left side of the graph is longer.

Hence, we can interpret from these information that the distribution of data of Morgan are negatively skewed.

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If they are offering a sale for 20% of, this will  definitely affect the mean, median, and mode cost

If they are offering a sale for 20% of, this will  definitely affect the mean, median, and mode cost c in the ways listed below.

Mean: The mean refer to the  average cost of a type of candle, thgis can be calculated by adding  the costs and also  dividing by the number of types of candles. Therefore, the candle will decrease by 20%.

Median: The median is refers to the  middle number of a cost type of the candle.. The median is not affected because the 20% discount does not affect its position.

Mode: The mode is  mostly occurred or  common cost of a type of candle.  which may not be affected by the discount.t may or may not be affected by the discount. If the discount lead  to a little  shift in the distribution of costs, it may not affect the  mode .

Therefore, the discount will make  the mean cost to reduce, but  the median and mode costs may not change..

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Step-by-step explanation:

\(\text{The total amount in the bags is }(54\text{ bags})(1080\text{ g})=58320\text{ g}\)

\(\text{The collective amount of rice is thus }(58320+704)\text{ g}\cdot\frac{1\text{ kg}}{1000\text{ g}}=59.024\text{ kg}\)

The derivative of y=tan(e*+/x+1), we used the chain rule of differentiation and simplified the expression to get y' = -e*sec^2(e*+/x+1)/(x+1)^2.

To find y' for y=tan(e*+/x+1), we need to use the chain rule of differentiation. First, let's rewrite the function as y=tan(u), where u=e*+/x+1. The chain rule states that if y=f(u) and u=g(x), then y' = f'(u)*g'(x).

In this case, f(u) = tan(u), so f'(u) = sec^2(u). And g(x) = e*+/x+1, so g'(x) = -e*+/x+1^2.

Therefore, y' = sec^2(e*+/x+1)*(-e*+/x+1^2).

Simplifying this expression, we get y' = -e*sec^2(e*+/x+1)/(x+1)^2.

This means that the derivative of y with respect to x is equal to -e* times the secant squared of e*+/x+1, divided by the square of x+1.

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Answer:

x = 35

Step-by-step explanation:

1. Add all angles

\(115+(x+36)+24+(2x+10)+2x\)

= \(5x+185\)

2. Match 360 and fix

\(5x+185=360\)

\(5x=360-185\)

\(5x=175\)

\(x=175/5\)

\(x=35\)

Hope this helps

Answer:

\(\boxed{\sf x = 35^o}\)

Step-by-step explanation:

Let's find the value of x :-

\(\sf 115 + x + 36 + 24 + 2x + 10 + 2x = 360^o\)

Add the numbers.

Combine like terms.

Subtract 185 from both sides.

Divide both sides by 5.

--------------------------------------

Answer:

y = 9.

Step-by-step explanation:

y = kx where k is a constant.

Substituting the given values:

15 = k*10

k = 15/10 = 1.5 so

y = 1.5x is the relation.

When x = 6

y = 1.5 * 6

= 9..

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

y = kx

k = 1.5 and x = 6

The value of y when x = 6 is 9.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 9 is an equation.

3x = 5 is an equation.

We have,

If y varies directly as x.

This means,

y ∝ x

y = kx

where k is the constant of proportionality.

Now,

y = 15 when x = 10

This means,

15 = 10k

k = 15/10

k = 1.5

Now,

y = kx

k = 1.5

x = 6

y = 1.5 x 6

y = 9

Thus,

y = kx

k = 1.5 and x = 6

The value of y when x = 6 is 9.

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Answer:

x^2 +2xy +3y^2

Step-by-step explanation:

(x + 3y)(x - y)

Foil

first x*x = x^2

outer x*-y = -xy

inner 3y^x = 3xy

last 3y*y = 3y^2

Add them together

x^2 -xy +3xy +3y^2

Combine like terms

x^2 +2xy +3y^2

The equation of the line passing through the given coordinate with the given slope is; y = 2x + 11

The formula for equation of line in point slope form is;

(y - y1) = m(x - x1)

We are given the slope is 2

Now, if the line passes through the coordinate (-4, 3), then the equation of the line is;

(y - 3) = 2(x - (-4))

y - 3 = 2x + 8

y = 2x + 11

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Answer:

48

Step-by-step explanation:

Answer: moderate, C, B

Step-by-step explanation:

A)  A shows a moderate negative correlation.  It is moderate because the scattered points are sort of close to the line so it has moderate/medium correlation.  It is also negative because it has a negative slope

B) C shows the strongest correlation because the points around the line are tight and close.

C)  B should not have been drawn.  The  correlation is very weak.  You do know where the line should be because the points are all over the place.

Answer:

-7

Step-by-step explanation:

-5 + (-2) is the same thing as

-5 - 2.

To find an equation of a plane through a given point and perpendicular to a given line, you can follow these steps:

1. Find the direction vector of the given line. This can be done by subtracting the coordinates of any two points on the line. Let's denote this vector as "d".

2. Find the normal vector of the plane. Since the plane is perpendicular to the line, its normal vector will be the same as the direction vector of the line. So, the normal vector of the plane is "d".

3. Use the coordinates of the given point on the plane to find the equation of the plane. Let's denote the coordinates of the point as (x₀, y₀, z₀).

The equation of the plane can be written as:

Ax + By + Cz = D,

where A, B, C are the components of the normal vector "d", and x, y, z are the variables representing any point on the plane.

To find the values of A, B, C, and D, substitute the coordinates of the given point into the equation:

A(x₀) + B(y₀) + C(z₀) = D.

Therefore, the equation of the plane through the given point and perpendicular to the line is:

d₁(x - x₀) + d₂(y - y₀) + d₃(z - z₀) = 0,

where (d₁, d₂, d₃) are the components of the direction vector "d" of the line, and (x₀, y₀, z₀) are the coordinates of the given point.

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Find the equation of the plane passing through the point (−1,3,2) and perpendicular to each of the planes x+2y+3z=5 and 3x+3y+z=0.

The missing entries for f(x) are 20, 30, and 40, and the missing entries for g(x) are 40, 80, and 160.

The missing entries for f(x) can be found by knowing that f is a linear function and using the values given. A linear function has the form f(x) = ax + b, where a is the slope and b is the y-intercept. Since f(0) = 10 and f(1) = 20, we can use these two points to find a and b.

Putting x = 0 in the equation, we get:

f(0) = 10 = a(0) + b

Putting x = 1 in the equation, we get:

f(1) = 20 = a(1) + b

Solving these two equations simultaneously, we find:

a = 10

b = 0

So, the equation for f is:

f(x) = 10x + 0 = 10x

Using this equation, we can find the missing entries for f(x) in the table:

f(2) = 10x = 10(2) = 20

f(3) = 10x = 10(3) = 30

f(4) = 10x = 10(4) = 40

So the missing entries for f(x) are 20, 30, and 40.

To find the missing entries for g(x), we need to know the form of the exponential function g. A common form for exponential functions is g(x) = ab^x, where a is the y-intercept and b is the growth factor. Since g(0) = 10 and g(1) = 20, we can use these two points to find a and b.

Putting x = 0 in the equation, we get:

g(0) = 10 = a(1)^0 = a

So, a = 10.

Putting x = 1 in the equation, we get:

g(1) = 20 = 10b

Solving for b, we find:

b = 2

So, the equation for g is:

g(x) = 10(2^x)

Using this equation, we can find the missing entries for g(x) in the table:

g(2) = 10(2^2) = 10(4) = 40

g(3) = 10(2^3) = 10(8) = 80

g(4) = 10(2^4) = 10(16) = 160

So the missing entries for g(x) are 40, 80, and 160.

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--The given question is incomplete; the complete question is

"The table below shows some values of a linear function f and an exponential function g. find exact values (not decimal approximations) for each of the missing entries.                                                                                    x      0  1  2  3 4                                                                                                                                             f(x)  10 _ 20 _ _                                                                                                                                 g(x) 10 _ 20 _ _"--

Answer:

Y axis is dependent

Step-by-step explanation:

and x axis is independent, so if its on the x axis, its alwasy a independent variable, hope it helped Lol

Answer:

Step-by-step explanation:

1). \(\frac{1}{2}g-4=2g-\frac{1}{2}g+4\)

  \(\frac{1}{2}g-4=\frac{3}{2}g+4\)

 Since left side of the given equation is not equal to the right side, there will be one solution to the given equation.

2). -2.1b + 5.3 = b - 3.1b + 5.3

   -2.1b + 5.3 = -2.1b + 5.3

Since left side of the equation is exactly same as right side of the equation.

Equation will have infinitely many solutions.

3). \(\frac{3}{4}w+\frac{5}{4}=\frac{10}{4}-\frac{3}{4}w\)

  \(\frac{3}{4}w+\frac{5}{4}=\frac{5}{2}-\frac{3}{4}w\)

Since left side of the given equation is not equal to the right side, there will be one solution to the given equation.

4). 5.7c - 1.5 + 3.2c = 7.8c - 1.5 + 1.1c

   8.9c - 1.5 = 8.9c - 1.5

 Left side of the equation is same as right side of the equation.

Therefore, there will be infinitely many solutions of the equation.

Answer:

C and f

Step-by-step explanation:

Hope this helps