What is limit as x approaches zero of f(f(x)) closest to?
a. DNE
b. 1
c. 3
d. 5

note: I thought the answer was does not exist, but it ended up being wrong, please help and explain the answer!

The sample is 200 randomly selected students.

The following things should be considered:

So, here the sample should be 200 randomly selected students.

Therefore the other options should be incorrect.

Thus we can conclude that the sample is 200 randomly selected students.

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Answer: x= -3

Step-by-step explanation:

1) Set up the equation with triangle sum

35 + x + 58 + 90 = 180

2) Solve

183 + x = 180

x = -3

Alice spend a total of $10.50, and the 30% of total was spent on snacks.

So, if we call x the money spent on snacks we have that the ratio between x and total spent money is 30%:

Answer:

\(\left(\dfrac{5^{-2}}{2^3}\right)^4\)

\(\dfrac{\left(5^{-2}\right)^4}{\left(2^3\right)^4}\)

\(\dfrac{\left(5^{-8}\right)}{\left(2^{12}\right)^}\)

\(\dfrac{\dfrac{1}{390625}}{4096}\)

\(\dfrac{1}{390625} *\dfrac{1}{4096}\)

\(\dfrac{1}{1600000000}\)

\(\left\mathrm{In \ decimal \ or \ standard \ form :\quad }\:6.25E-10\right\)

\(\large\tex\text{Given expression:} \huge\tex\text{[}\dfrac{5^{-2} }{2^{3} } \huge\tex\text{]}^{4}\)

Since the exponents inside the brackets do not have any relation (Not through bases, nor through exponents), we will need to simplify the exponents.

1. Simplifying the exponents inside the bracket:

\(\bullet \ \rightarrow \huge\tex\text{[}\dfrac{5^{-2} }{2^{3} } \huge\tex\text{]}^{4}\)

\(\bullet \ \rightarrow \huge\tex\text{[}\dfrac{\frac{1}{5^{2} } }{2 \times 2 \times 2} \huge\tex\text{]}^{4}\)

\(\bullet \ \rightarrow \huge\tex\text{[}\dfrac{\frac{1}{25 } }{8} \huge\tex\text{]}^{4}\)

2. Opening the brackets:

\(\bullet \ \rightarrow \huge\tex\text{[}\dfrac{\frac{1}{25 } }{8} \huge\tex\text{]}^{4}\)

\(\bullet \ \rightarrow \huge\tex\text{[}\dfrac{\frac{1^{4} }{25^{4} } }{8^{4} } \huge\tex\text{]}\)

\(\bullet \ \rightarrow \dfrac{\frac{1^{4} }{25^{4} } }{8^{4} }\)

3. Simplifying the exponents:

\(\bullet \ \rightarrow \dfrac{\frac{1^{4} }{25^{4} } }{8^{4} }\)

\(\bullet \ \rightarrow \dfrac{\dfrac{1}{390625 } }{4096}\)

\(\bullet \ \rightarrow {\dfrac{1}{390625 } \times \dfrac{1}{4096}\)

\(\bullet \ \rightarrow \boxed{\bold{\dfrac{1}{1600000000} }}\)

Yes, these polynomials span P2. To determine whether the given polynomials span P2, let's begin by defining what P2 is. P2 is a vector space of all polynomials of degree 2 or less. Therefore, for a set of polynomials to span P2, any polynomial of degree 2 or less in P2 should be possible to write as a linear combination of these polynomials.

Now, let's see if the given set of polynomials p1, p2, p3, and p4 span P2. We need to check if any polynomial of degree 2 or less can be expressed as a linear combination of these polynomials. That is, suppose we have a polynomial p(x) of degree 2 or less in P2, and we want to express it as a linear combination of p1, p2, p3, and p4.

Then, we need to find scalars a, b, c, and d such that:p(x) = a*p1(x) + b*p2(x) + c*p3(x) + d*p4(x)If we can find such scalars for any polynomial of degree 2 or less, then p1, p2, p3, and p4 span P2. Otherwise, they do not.

Let's start by substituting each of the given polynomials into the above equation:p(x) = a*(1-x^2-2x^2) + b*(3x) + c*(5-x-4x^2) + d*(-2-2x^2)Simplifying this expression gives p(x) = (a-2d)*x^2 + (-c+b)*x + (a+5c-2d). We now have a polynomial of degree 2 or less that can be expressed as a linear combination of p1, p2, p3, and p4.

Therefore, these polynomials span P2.

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The expected value of the sample mean of mpg derived from a random sample of four passengers is 30.5 mpg.

The expected value of the sample mean can be calculated using the formula

E(x) = μ

where x is the sample mean, and μ is the population mean.

In this case, the population mean is given as 30.5 mpg. The standard deviation of the population is also given as 4.1 mpg.

The standard deviation of the sample mean can be calculated using the formula

σx = σ/√n

where σ is the population standard deviation and n is the sample size.

Substituting the given values, we get:

σx = 4.1/√4 = 2.05

So the expected value of the sample mean is

E(x) = μ = 30.5 mpg.

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Step-by-step explanation:

10+X = 5+14

So,

10+X=19

X=19-10

X= 9

Answer:

-19Step-by-step explanation:

If the constant 5 is added to each value in a data set, the mean of the data set increases by 5, and the standard deviation remains the same. This is because adding a constant to each value in the data set shifts the distribution of the data to the right, but it does not change the spread of the data.

(a) The number of people who consumed between 24 and 40 ounces of chowder can be found by finding the area under the standard normal curve that corresponds to these values and multiplying it by the number of people. To find this area, we need to find the standard scores (z-scores) corresponding to 24 and 40 ounces and then use a table of the standard normal distribution to find the area.

The mean and standard deviation of the distribution are 32 ounces and 8 ounces, respectively. The standard score corresponding to 24 ounces is (24-32)/8 = -1, and the standard score corresponding to 40 ounces is (40-32)/8 = 1. The area under the standard normal curve between -1 and 1 is approximately 0.6826. So, approximately 68.26% of the people consumed between 24 and 40 ounces of chowder.

So, the number of people who consumed between 24 and 40 ounces of chowder is 200 * 0.6826 = 136.52, or approximately 136 people.

(b) To find the number of people who consumed between 16 and 40 ounces of chowder, we can repeat the same process. The standard score corresponding to 16 ounces is (16-32)/8 = -2, and the standard score corresponding to 40 ounces is (40-32)/8 = 1. The area under the standard normal curve between -2 and 1 is approximately 0.8365. So, approximately 83.65% of the people consumed between 16 and 40 ounces of chowder.

So, the number of people who consumed between 16 and 40 ounces of chowder is 200 * 0.8365 = 167.3, or approximately 167 people.

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Answer: A   4

step by step explmationn

Answer:

C. 4.25

Step-by-step explanation:

You would want to subtract the one so you could subtract it to 18 then divide 4 by 17 to get 4.25

Answer:

the required ratio is :

24 : 34 = 2 : 3

Answer:

2 : 3

Step-by-step explanation:

The ratio

red roses : white roses

= 24 : 36 ← divide both parts of the ratio by 12

= 2 : 3 ← in simplest form

Based on the use of substitution, The answer will be: (x, y) = (1, -2)

3x - 4y = 11

y + 3x = 1

Step 1: Solve one of the equations for one of the variables.

Let's solve the second equation for y:

y = -3x + 1

Step 2: Substitute this expression for y into the first equation:

3x - 4(-3x + 1) = 11

3x - (-12x + 4) = 11

3x + 12x = 15

15x = 15

x = 1

Step 3: Substitute this value of x back into one of the original equations to find the value of y:

y = -3(1) + 1 = -2

The solution is (x, y) = (1, -2)

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See transcribed text below

Solve the system using substitution.

3x-4y = 11 y + 3x = 1

([?], [_])

Enter

Not letting me add the answer pls refer to the attachment

Answer:

lol

Step-by-step explanation:

Answer: 3078.8

Step-by-step explanation:

if a cylinder has a base radius of 7 in and a height of 20 in then the volume is 3077.2 cubic inches.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that cylinder has a base radius of 7 in and a height of 20 in

We have to find the volume of the cylinder

V=πr²h

Radius = 7

Height =20

Volume =3.14×7²×20

=3.14×49×20

=3077.2 cubic inches.

Hence, if a  cylinder has a base radius of 7 in and a height of 20 in then the volume is 3077.2 cubic inches.

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Answer:

-4

any more help just ask :)

Answer:

Summer school (or summer university) is a school, or a program generally sponsored by a school or a school district, or provided by a private company, that provides lessons and activities during the summer vacation.

Step-by-step explanation:

Answer:

Step-by-step explanation:

No, Euclidean coordinates and homogeneous coordinates are not the same thing for the same point in space. Let's see how are they different in this brief discussion below. What are homogeneous coordinates? Homogeneous coordinates are utilized to explain geometry in projective space. Homogeneous coordinates are often used since they can express points at infinity. Homogeneous coordinates are three-dimensional coordinates used to extend projective space to include points at infinity. How are homogeneous coordinates and Euclidean coordinates different?Homogeneous coordinates utilize four variables to define a point in space while Euclidean coordinates use three variables. Points in Euclidean geometry have no "weights" or "scales," while points in projective geometry can be "scaled" to make them homogeneous. Hence, Euclidean coordinates and homogeneous coordinates are not the same thing for the same point in space.

Homogeneous coordinates and Cartesian coordinates are not the same point.

The following are the reasons behind it:

Homogeneous coordinates :Homogeneous coordinates are a set of coordinates in which the value of any point in space is represented by three coordinates in a ratio, which means that the first two coordinates can be increased or decreased in size, but the third coordinate should also be changed proportionally.

So, in short, these are different representations of the same point. Homogeneous coordinates are used in 3D modeling, computer vision, and other applications.

Cartesian coordinates: Cartesian coordinates, also known as rectangular coordinates, are the usual (x, y) coordinates.

These coordinates are widely used in mathematics to explain the relationship between geometric shapes and points. These are the coordinate points that we use in our daily lives, such as identifying the location of a particular spot on a map or finding the shortest path between two points on a coordinate plane.

The two-dimensional (2D) or three-dimensional (3D) points are represented by Cartesian coordinates.

Hence, it can be concluded that Homogeneous coordinates and Cartesian coordinates are not the same point, and these are different representations of the same point.

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Step-by-step explanation:

You can make a ratio. Put the first part of the question together and put the second part together.

\( \frac{75}{90} = \frac{x}{30} \)

Next we cross multiply

\((75)(30) = 90x\)

\(2250 = 90x\)

Lastly we divide by 90

\(x = 25\)

Answer:

72 minutes

Step-by-step explanation:

Given that:

Advert runs on :

Station 1 : every 24 minutes

Station 2 : every 18 minutes

Both have the advert running presently ; How many minutes until both stations will have the advertisement on again at the same time?

To obtain the time the advert will run again at the same time on both stations, we find the Lowest common factor of 24 and 18

_2__24 ____18

_2__12_____9

_2__6_____ 9

_3__3 _____9

_3__1_____ 3

____1_____1

2 * 2 * 2 * 3 * 3 = 72

After 72 minutes

Greek number prefixes are employed in the naming of molecular (covalent) substances.

Greek number prefixes are employed in the naming of molecular (covalent) substances. Prefixes are always combined in order of size (left-to-right in the table below). For instance, "heptadecatetracta" (7 + 10 + 400) would be the prefix for the number 417.

We utilise prefixes (mono-, di-, tri-, etc.) at the beginning of each element in molecular compounds to denote the element's subscript, but we only use the prefix mono- for the compound's second element.

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Answer:

Step-by-step explanation:

Im not sure dowload the app caculator online its free and it does ur homework

Answer:

19

Step-by-step explanation:

The estimate of the mean length of the insects Ciara found is 17 millimeters (mm).

To calculate an estimate of the mean length of the insects Ciara found, we need to find the weighted average of the lengths using the given frequencies.

Let's denote the lower limits of the length intervals as L1 = 0, L2 = 10, and L3 = 20.

Similarly, denote the upper limits as U1 = 10, U2 = 20, and U3 = 30.

Next, we calculate the midpoints of each interval by taking the average of the lower and upper limits.

The midpoints are M1 = (L1 + U1) / 2 = 5, M2 = (L2 + U2) / 2 = 15, and M3 = (L3 + U3) / 2 = 25.

Now, we can calculate the sum of the products of the frequencies and the corresponding midpoints.

This gives us (5 \(\times\) 5) + (6 \(\times\) 15) + (9 \(\times\) 25) = 25 + 90 + 225 = 340.

Next, we calculate the sum of the frequencies, which is 5 + 6 + 9 = 20.

Finally, we divide the sum of the products by the sum of the frequencies to find the weighted average, which is 340 / 20 = 17.

Therefore, the estimate of the mean length of the insects Ciara found is 17 millimeters (mm).

Thus, the mean length of the insects Ciara found is approximately 17 millimeters (mm).

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Answer:

70 degrees

Opposite angles are equal to each other

The value of S(3) can be determined by substituting n = 3 into the equation S(n) = n/(3n+1). By doing so, we obtain S(3) = 3/(3*3+1) = 3/10.

To verify the equation S(n) = n/(3n+1), we need to evaluate S(3).

In the given equation, S(n) represents the sum of a series of fractions. The general term of the series is 1/[(3n-2)(3n+1)].

To find S(3), we substitute n = 3 into the equation:

S(3) = 1/[(33-2)(33+1)] + 1/[(34-2)(34+1)] + 1/[(35-2)(35+1)]

Simplifying the denominators:

S(3) = 1/(710) + 1/(1013) + 1/(13*16)

Finding the common denominator:

S(3) = [(1013)(1316) + (710)(1316) + (710)(1013)] / [(710)(1013)(13*16)]

Calculating the numerator:

S(3) = (130208) + (70208) + (70130) / (71010131316)

Simplifying the numerator:

S(3) = 27040 + 14560 + 9100 / (710101313*16)

Adding the numerator:

S(3) = 50600 / (710101313*16)

Calculating the denominator:

S(3) = 50600 / 2872800

Reducing the fraction:

S(3) = 3/10

Therefore, S(3) = 3/10, confirming the equation S(n) = n/(3n+1) for n = 3.

the process of verifying the equation by substituting the given value into the series and simplifying the expression.

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Shania bought a $1,972 drum set on the installment plan. The installment agreement included a 20% down payment and 36 monthly payments of $52.04 each. So the finance charge is $295.84.

In the given question, Shania bought a $1,972 drum set on the installment plan.

The installment agreement included a 20% down payment and 36 monthly payments of $52.04 each.

We have to find the finance charge.

Down payment = 20% of drum value

Down payment = $1972 * 20%

Down payment = $394.4

Total amount of monthly payments = one month payment * Number of months

Total amount of monthly payments = $52.04 * 36

Total amount of monthly payments = $1873.44

Amount Shania will pay for drum set = down payment + total monthly payments

Amount Shania will pay for drum set = $394.4 + $1873.44

Amount Shania will pay for drum set = $2267.84

Finance charge = Total payment under installment plan - cost of drum set Finance charge = $2267.84 - $1972

Finance charge = $295.84

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Answer:

1. use the formula

\((n-2)180\)

\((20 - 2)180\\18 * 180 = 3240\)

2. use the formula

\(360/n\\360/12\\n = 30\)

3. There is only one at 360 degrees

4. there are 6 rotational symmetries and the number of reflectional symmetries would be 6 as you can see:

Answer

Check Explanation

Explanation

The volume of cone is given as

Volume of a cone = ⅓ (πr²h)

where

r = radius of the cone

h = height of the cone

also note that radius of a cone = ½ (Diameter of the cone)

1) Dylan's cone

Radius = 4.5 inches

Height = 6 inches

Volume = ⅓ (πr²h)

= ⅓ (π × 4.5² × 6)

= ⅓ (381.7035)

= 127.23 in³

2) Shane's cone

Radius = ½ (Diameter of the cone)

Diameter of the cone = 4.5 inches

Radius = ½ (4.5) = 2.25 inches

Height = 6 inches

Volume = ⅓ (πr²h)

= ⅓ (π × 2.25² × 6)

= ⅓ (95.426)

= 31.81 in³

3) Jake's cone

Radius = ½ (Diameter of the cone)

Diameter of the cone = 6 inches

Radius = ½ (6) = 3 inches

Height = 4.5 inches

Volume = ⅓ (πr²h)

= ⅓ (π × 3² × 4.5)

= ⅓ (127.2345)

= 42.41 in³

4) Grace's cone

Radius = 6 inches

Height = 4.5 inches

Volume = ⅓ (πr²h)

= ⅓ (π × 6² × 4.5)

= ⅓ (508.938)

= 169.65 in³

Hope this Helps!!!