Find the lateral surface area of the following cylinder:r = 3 cmh = 3 cmLSA = [?]π cm?Leave your answer in terms of pi

The probability P of an event e can be found using the formula:

Required: The probability that the next respondent will be between 18 and 25

Number of respondents between the ages of 18 and 25 = 25

Total number of respondents :

Hence, the probability of a selecting a respondents in the age range 18 to 25 is:

Answer: 0.1256

Part (A):

The value of 3/5 in the decimal form is 0.6 which is less than 1.

Thus, one of the factors of the should be less than 3/5 and other greater than 3/5.

Part (B):

For example take,

2 and 3/10.

The product of 2 and 3/10 is 3/5.

2 is greater than 3/5 and 3/10 is smaller than 3/5.

The base equation of a parabola is F(X) = X^2 + C

if we make F(X+2) it means the chart will move 2 units to the left

on the other hand, if the make F(X) + 5, it means the chart will displace 5 units upwards

As a result, from the given chart, our equation would be: y = 3(x+2)^2 + 5

On the graph, the x axis represents rainfall while the y axis represents number of umbrella sold. We can see that as the amount of rainfall is increasing, the number of umbrellas sold is increasing. This is shown by the line moving upwards in the positive direction. the relationship between the amount of rainfall and the number of a umbrellas sold is a positive association.

A biologist studying the growth of a particular species of algae and later designed a model equation for the growth

F(d) = 11(1.01)d

Where, f(d) is in mm and d is days

QUESTION A

F(d) = 11(1.01)d

f(d) = 11.79 mm

Substitute f(d) = 11.79 mm into the model equation

11.79 = 11(1.01)d

11.79 = 11 * 1.01 * d

11 .79 = 11.11 x d

11.79 = 11.11d

Divide both sides by 11.11

11.79/11.11 = 11.11d/11.11

d = 11.79/11.11

d = 1.061

Thde reasonable domain to plot the growth function is 1.061 < d > 1.061

Remember that the average or mean is the ratio between the sum of all numbers involve and the total number of items there.

In this case, the total is 28 degrees, and the total number of days is 7, we just have to divide.

Given

Distance = 30 km

Time = 1 1/2 hours = 3/2 hours

Find

rate in km per hour

Explanation

we need to find the rate in km per hour.

as we now the rate is also called a speed

so , speed = distance/time

Final Answer

Therefore, the rate of ship is 20km/hr

so , the correct option is 1.

Given the equation of the line :

To find the slope, solve the equation for y:

Divide both sides by -3 :

So, the slope of the given line = 4/3

And the slope of the line parallel to the given line = 4/3

Because the parallel line have the same slopes

So, the answer is : slope = 4/3

Apr = 2.5% every 6 months

Use formula

N = N1 ( 1+ 2.5/100)^ 2

APY= (1 + r/2) ^2 - 1

. = ( 1 + 2.5/2) ^2 - 1

. = (2.25)^2 - 1

. = 4.0625

Then answer is

Annual percentage yield

APY = 4.06 %

Let's complete the transformation from ABCD to EHGF.

Let's first determine the coordinates of the two figures.

Figure ABCD:

A : -5, 2

B : -3, 4

C : -2, 4

D : -1, 2

Figure EHGF:

E : 4, 1

H : 2, 3

G : 1, 3

F : 0, 1

Reflecting ABCD over the y - axis, we get:

P (x, y) = P' (-x, y)

For ABCD:

A : -5, 2 = A' : 5, 2

B : -3, 4 = B' : 3, 4

C: -2, 4 = C' : 2, 4

D: -1, 2 = D' : 1, 2

Let's now complete the translation,

(x + S), (y + T)

Where,

S = translation at x-axis

T = translation at y-axis

We get,

A' : 5, 2 = E : 4, 1 → S, T = 4 - 5, 1 - 2 = -1, -1

B' : 3, 4 = H : 2, 3 → S, T = 3 - 4, 3 - 4 = -1, -1

C' : 2, 4 = G : 1, 3 → S, T = 1 - 2, 3 - 4 = -1, -1

D' : 1, 2 = F: 0, 1 → S, T = 0 - 1, 1 - 2 = -1, -1

Therefore, we can say that the translation is (x + _, y + _) = (x + (-1), y + (-1)) = x - 1, y - 1

6 square box, each of length 3.5 inches:

Area of the original box = 6 x area of the smaller box = 6 x L x L

Area of the original box = 6 (3.5 x 3.5) = 6 (12.25) = 73.5 square inches

Problem

The function y =30+5x represents the cost y (in dollars) of having your dog groomed and buying x for extra services . can u please just do C (graph the function using six values of it's domain​

Solution

Part a

For this case a linear function is given by: y = mx+b

If we compare the function y =30 +5x we can see that we have the sam efunctional form and we can conclude that yes is a linear function with m = 5 and b =30

Part b

For this part since we have a linear function the domain is given by:

D= [0,1,2,3,4,5}

Then the domain is discrete

Part c

For this case we have the following solution:

We are given the expression

and are asked to evaluate it when x=5 and z=7. For this, we simply replace the given values on the original expression, like this:

And now we simplify it as much as possible:

We and a problem with a constant of variation of 4.

We can think as following:

Kate wants to make a party and make candies for her guests. She intent to make at least 15 candies and an additional of 4 candies for each guest. Thetermine the total number of candies, c, that Kate must make according to the total numer of guests, g.

Answer: c = 4g + 15

Clare is going to need 50 minutes to label 750 books

1) Gathering the data

750 books

15 books per minute

2) Let's set a proportion for that, considering the fact that her speed is constant

15 books ----------------------1 minute

750 -------------------------------x

15x = 750

x= 50 books

3) Clare is going to need 50 minutes to label 750 books.

Answer

C. The shape of both data distributions are non-symmetric

Step-by-step explanation

Ordering both data sets from least to greatest, we get:

R's sleep log:7.5 8 8.58.5 99.5

B's sleep log: 6.5 6.577.57.512

We can see that B's data is concentrated at the lower values (12, the maximum, is an outlier). Then, the shape of B's data distribution is non-symmetric. But, in R's data every value is equidistant from the other ones, in consequence, the shape of R's data distribution is symmetric.

We are required to find both the recursive rule and the Explicit rule for the values given in the table.

Recursive rule:

To get the recursive rule, we need to find the common ratio.

The common ratio (r) is found by dividing the 2nd term by the 1st term, or the 3rd term by the 2nd term, or the 4th term by the 3rd term, and so on.

We can generalize and say the common ratio is also the division of the nth term by the (n-1)th term.

Let us put these facts into mathematical expressions:

Thus, we can now write the recursive formula as:

Explicit rule:

To get the rule, we need to recognize the pattern:

We can see a pattern developing and from that, we can generalize:

Thus, the explicit rule is:

The first option:

A)

x² + y² = x² + 2xy + y²

is not a polynomial identity because the right side of the equation corresponds to a binomial squared, which is given by:

(x + y)² = x² + 2xy + y²

and what you have left side of the given expression is x² + y² and not (x + y)² which is totally different.

Hence, x² + y² = x² + 2xy + y² is not a polynomial identity

Given data:

Amount of money invested, P = $1000

Interest rate, r = 0.0625

Total money in the account, A = 5500

Now, to find the years use simple interest rate formula that is

Therefore, t will become

Putting the values we get,

Thus, it will take 72 years for the account to reach 5500.

from Least likely to Most likely

Event 3,

Event 1,

Event 4,

Event 2

STEP-BY-STEP EXPLANATION

BAG A contains:

no of white marbles = 11

no of blue marbles = 9

Total marbles in Bag A

= 11 + 9 = 20

Prob. of choosing a white marble in Bag A

= 11 / 20

Prob. of choosing a blue marble in Bag A

= 9 / 20

BAG B contains:

no of white marbles = 6

no of blue marbles = 2

Total marbles in Bag B

= 6 + 2 = 8

Prob. of choosing a white marble in Bag B

= 6 / 8

Prob. of choosing a blue marble in Bag B

= 2 / 8.

Event 1: Choosing blue marble from Bag B

= 2 / 8 = 0.25

Event 2: Choosing white marble from Bag B

= 6 / 8 = 0.75

Event 3: Choosing purple marble from Bag A

= 0 / 20 = 0

Event 4: Choosing white marble from Bag A

= 11 / 20 = 0.55.

Hence, from Least likely to Most likely we have Event 3, Event 1, Event 4, Event 2.

Coupon A gives the lower price,is $3.75 less than the price with coupon b

Explanation

Step 1

get the final price

a) Coupon A

$ 18 rebate on a $95 bycicle

so, the final price is

b) 15% off of a $95 bucycle

fint, the value for 15% of $95

so, to know the value for 15% of $95,do:

the discount for coupon b is $14.25,

hence the final price is

Hence,

Step 2

compare the prices(difference)

I hope this helps you

The given number is two hundred million thirty five.

As you can observe, this number has hundred millions, tens, and units. Specifically, it has 2 hundred million, 3 tens and 5 units. We write each part as a sum, as follows

Then we add, so the number is

Answer:

Febuary -2.25

Explanation:

We are told that the negative values indicate the amount of data that was under the plan. Therefore, the more negative the value, the less of the data Emmanuel used.

With this in mind, looking at the table we note that in the month of febuary Emmnuel used -2..25 of data (2.25 untis less than his plan ) which is the least amount of data used in any month.

notice that we have one factor of the complete expression, then, we can make the following division:

therefore, the missing factor is 7y+4

Solution

- We are told that dog treats, Barker and DogYum cost $1.95 for 3 oz and $2.10 for 3.25 oz respectively and we are required to find out which is more expensive per ounce.

- In order to find the more expensive dog treat, we need to find the cost per ounce for each item. The cost per ounce is given by the formula below:

- The dog treat with the larger cost per oz is the more expensive item.

- Thus, let us calculate the cost per oz for both items.

DogYum:

Barker:

- We can observe that Barker is marginally more expensive than DogYum. We can confirm this by simply subtracting the cost per oz for both treats.

Final Answer

The answer is:

DogYum is less expensive, per ounce

We have the next polynomial function

In order to find the zero we punt the function equal to zero

We have a given zero that is 1-i

x=1-i

than means that we need the conjugate of the zero given is also a zero

x=1+i

and then we need a third zero because the polynomial has third-degree it can be calculated if we factorize the polynomial given

Therefore the zeros are

x=-1

x=1-i

x=1+i

Stefan picks up 40 bushels of apples in 12 hours.

With the helo of gabriela they do so th 6.67 hours. We can represent this in the following table:

Bulshels of apples Hours

40 6.67

We need to multiply these number by 2, so that we can know how much time it would take for Gabriella to pick 40 alone.

Bulshels of apples Hours

40 6.67

80 13.34

Now, since picking 80 together takes 13.34 hours, and we know that tefan picks up 40 in 12 hours, the other 40 where picked up by Gabriella in:

Answer: 1.34 Hours

We will solve as follows:

From the information given we can deduce that the triangle is Isosceles. We also have from theorem that angles that are opposite to congruent sides are also congruent, therefore angle

Using this, and the fact that the sum o all internal angles of a triangle add to 180°, the following is true:

Now, we replace the values we know:

So, the value of angle

Combinatorics

If Connie had only 7 pairs of shoes and she has room for 7 pairs of shoes, then she has only one way to take her shoes.

If she had 8 pairs of shoes, then she can select any group of shoes that leaves one pair out. This makes 8 possible ways to choose.

When the number of pairs of shoes goes up, then the counting gets more complex. That is when combinatorics is a useful tool.

If we have a total of n elements to select m, where the order of selection is not important, then the total number of selections is given by:

Where the sign (!) is the factorial of a number.

Connie has n=16 pairs of shoes and she will take m=7 from them, thus the number of possible ways or combinations is:

Expanding the factorial down to match the greatest factorial in the denominator:

Simplifying and calculating:

Connie can choose in 11,440 ways the shoes to choose