In a scale drawing of a rectangularswimming pool, the scale is 2 inch: 4feet. Find the perimeter and area ofthe swimming pool.15 in.3.5 in.

Answer:

442

Step-by-step explanation:

you can download g a u t h m a t h for questions like this, good luck :D

Answer:

A)

\(\left \{ {{80} \atop {20}} \} * \left \{ {{60} \atop {20}} \} * \left \{ {{40} \atop {20}} \} * \left \{ {{20} \atop {20}} \}\)

B)

\(\left \{ {{20+4-1} \atop {4-1}} \} = \left \{ {{23} \atop {3}} \}\)

C)

= \(\left \{ {{17+4+1} \atop {4-1}} \} = \left \{ {{20} \atop {3}} \}\)

D)

= \(\left \{ {{20} \atop {3}} \} - \left \{ {{17} \atop {3}} \}\)

Step-by-step explanation:

A) How many ways can you put all Jellybeans in a row

Total number of Jellybeans = 80

The first jellybeans = 20 yellow , second is 20 orange jellybeans , third is 20 red jellybeans , fourth is 20 green jellybeans

Therefore the number of ways the Jellybeans can be put in a row is :

\(\left \{ {{80} \atop {20}} \} * \left \{ {{60} \atop {20}} \} * \left \{ {{40} \atop {20}} \} * \left \{ {{20} \atop {20}} \}\)

B) How many ways are there to select a handful of 20 jellybeans

lets assume:

yellow jellybeans = a , orange jellybeans = b , red jellybeans = c , green jellybeans = d

a + b + c + d = 20

This is the number Non-negative integer solutions

= \(\left \{ {{20+4-1} \atop {4-1}} \} = \left \{ {{23} \atop {3}} \}\)

C) This is also the number of Non-negative integer solutions but in this case the value of C ≥ 3

hence the number of ways to select a handful of 20 jellybeans that contains at least 3 red

= \(\left \{ {{17+4+1} \atop {4-1}} \} = \left \{ {{20} \atop {3}} \}\)

D) In this case the value of C ≥ 3 and B ≤ 2

Hence the number of ways to select a handful of 20 jellybeans that contains at least 3 red and at most 2 orange

= \(\left \{ {{20} \atop {3}} \} - \left \{ {{17} \atop {3}} \}\)

The statements which true about the race are: Stuart finishes the race 1 s after Peter finishes the race; and, Stuart is given a 40 yd head start and loses the race. The correct answers are option B and E.

Although part of your question is missing, you might be referring to this full question: The graph shows the results of a race between Peter and Stuart. Both boys begin the race at the same time. Which statements are true about the race? Select each correct answer.

A. Stuart runs a longer race than Peter.

B. Stuart finishes the race 1 s after Peter finishes the race.

C. Stuart runs the race at a faster rate than Peter.

D. Peter is given a 40 yd head start and wins the race.

E. Stuart is given a 40 yd head start and loses the race.

F. Peter runs the race at an approximate rate of 4.6 yd/s.

As can be seen on the Graph attached:

So, the justification for each statement:

A. Stuart runs a longer race than Peter.

This statement is false, because Peter runs a longer race than Stuart. Peter > Stuart = 100 > 60.

B. Stuart finishes the race 1 s after Peter finishes the race

This statement is true, because Stuart finished the race in 13 secs and Peter finished the race in 12 secs. Peter – Stuart = 13 – 12 = 1. Thus, Stuart finishes the race 1 s after Peter finishes the race.

C. Stuart runs the race at a faster rate than Peter.

This statement is false, because Stuart’s speed = 60 / 13 = 4.62 yard/sec, while Peter’s speed = 100 / 12 = 8.33 yard/sec. Thus, Peter runs the race at a faster rate than Stuart.

D. Peter is given a 40 yd head start and wins the race.

This statement is false, because Peter wins the race but Peter is not given a 40 yd head start.

E. Stuart is given a 40 yd head start and loses the race.

This statement is true, because Stuart loses the race and Stuart is given a 40 yd head start.

F. Peter runs the race at an approximate rate of 4.6 yd/s.

This statement is false, because Stuart runs the race at an approximate rate of 4.6 yd/s, while Peter runs the race at an approximate rate of 8.3 yd/s.

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The domain of the quadratic function in this problem is given as follows:

All real values.

The domain of a function is the set of all the possible input values that can be assumed by the function.

On the graph, the domain of the function is given by the values of x of the function.

A quadratic function has no restrictions on the domain, hence it is defined by all the real values.

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Answer:

See below for answers and explanations

Step-by-step explanation:

1) Substitute d=100 into the equation and solve for s:

s=sqrt(9.81d)

s=sqrt(9.81(100))

s=sqrt(981)

s≈31.32

Therefore, the speed of the wave will be about 31.3 m/s

2) Substitute d=1000 into the equation and solve for s:

s=sqrt(9.81d)

s=sqrt(9.81(1000))

s=sqrt(9810)

s≈99.05

Therefore, the speed of the wave will be about 99 m/s

Answer:

i think she would need about 78 inches of wapping paper

Step-by-step explanation:

The required sample size of the given value is 577.

What is margin of error?

The formula to calculate the sample size  :-

n = (p(1-p)((Zα/₂)/E)²

Given :  Estimated proportion  p = 0.60

Margin of error : E = 0.04

Significance level : α = 1-0.95 = 0.05

Critical value : Zα/₂ = 1.96

Now, the required sample size will be :-

n = (0.60)(0.11)(1.96/0.04)²

= 6.6 * (0.0784)²

= 0.57744

Hence, the required minimum sample size of the given is 577.

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Answer:

210 is answer when bases are same. powers should be added

Step-by-step explanation:

it's basically indicesis basically in this is so it was multiplication addition rule that you use

Answer:

\(d \approx 13.5\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra II

Step-by-step explanation:

Step 1: Define

Point E (9,0)

Point F (0, -10)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d.

Answer:

The answer is  M< A= -2.

Answer:

the answer is d or b need help

Answer:D

Step-by-step explanation:

AP3X

Answer:

Step-by-step explanation:

first: add all numbers together:

8 1/4 (25) + 10.1 + 8.5 + 9.4 + 6 1/2 (50) + 4.2

= 46.95

then divide that amount by how many numbers there were:

46.95 divided by 6 = 7.825

FINAL ANSWER = 7.825

The graph of a proportional relationship can be described as a graph that always starts at point zero and is always a straight line graph.

A straight line graph is defined as the type of graph that is also called a linear graph which shows a relationship between two or more quantities that uses a graphical form of representation.

There are some characteristics that shows that a graph is of proportional relationship which include the following:

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Answer:

Step-by-step explanation:

You want to know the monthly payment on a 30-year loan of $99,000 at 8%, and the total interest paid.

The monthly payment is given by the amortization formula ...

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

where P is the loan amount, r is the annual interest rate, and t is the loan period in years

  A = $99000(0.08/12)/(1 -(1 +0.08/12)^(-12·30)) ≈ 726.42692814058

The monthly payment is $726.43.

The total of monthly payments is about 360 times the "exact" value of the monthly payment. There is always a slight adjustment made in the last payment to account for the fact that the payment value is always rounded. We can approximate that adjustment by using the "exact" monthly payment amount: $726.42693

The interest paid is the difference between the total of payments and the original loan amount:

  I = 360×$726.42693 -99000 ≈ $162,513.69

The total interest paid is about $162,513.69.

__

Additional comment

If you use 360 times the monthly payment of $726.43, you will compute the interest paid as $162,514.80.

If you compute the future value of the loan after 360 payments of $726.43, you will find it is $4.58. This means the last payment will be $726.43 -4.58 = $721.85, and the total of payments will be $261,510.22, which includes $162,510.22 in interest.

If you make an amortization schedule, where interest is rounded every month (as in "real life"), the result will be different from any of these values. It is $162,510.63. (The last payment is $722.26.)

The upshot is that the amount you determine for total interest paid will depend on the method you use to determine it.

Answer:

1

Step-by-step explanation:

Answer:

Step-by-step explanation:

The mode is the number which occurs most frequently in the data set.

In this question, 1 appears the most frequently meaning that the correct mode is is 1.

Solution:

A point which is 8 units away from (4, -3) can be:

And,

The two coordinates that are 8 units away are (12, -3) and (4,5).

Answer:

\(\frac{19\pi }{4} ,\frac{15\pi }{4},\frac{7\pi }{4}\)

Step-by-step explanation:

The reference angle is the angle produced by the angle's terminal side and the horizontal line or the x-axis. The reference angles of the different quadrants may be calculated using the following formula:

The first step is to identify the quadrants of each angle and then use the following formula:

Robert's dimes are anywhere between 17 and 19.

Nickels

are worth 5 cents, and

dimes

are worth 10 cents. Since Robert has 10 nickels, he already has 50 cents. To reach a minimum of $2.20, or 220 cents, Robert needs at least 170 more cents. Because each dime is worth 10 cents, he needs a minimum of 17 dimes. If he has a maximum of 29 coins in total, subtracting the 10 nickels means that he can have up to 19 dimes. So, Robert could have anywhere between 17 and 19 dimes.

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The amount of flour to go into the containers would be 4.25 pounds of flour each

The amount of flour that would be put in each container would be

How to solve for the amount of flour

The weight of flour to be put in the containers is = 17 pounds

The number of containers is given as 4

The question told us already that the same  same amount of flour in each container

To get the exact same amount of flour going in to the containers we would then have to divide the flour by the containers

Hence we have 17 / 4

= 4.25

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After considering all the given data we conclude that the area of the given figure is 80, under the condition that the given figure is a rhombus.

Let us name the rhombus as ABCD, now looking at the figure we can detect that there are two diagonals crossing each other making a point  E, this allows the  two  diagonals to split in four smaller lines that are congruent in value
Then
Line AE = 5ft and Line ED = 5ft (because of congruency)
Line CE = 8ft and Line EB = 8ft(because of congruency)
Therefore,
Now we know that the diagonals
AD = 10ft
CB = 18 ft
The area of a rhombus can be evaluated applying the formula
Area = (d1 × d2) / 2,
Here,
d1 and d2 = lengths of the diagonals.
For this case, the diagonals are 10 ft and 16 ft.
Then, the area of the rhombus is
(10 × 16) / 2
= 80
Then, the area of the given figure is 80.
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Answer:

So option B is the answer.

If x + 2 is the only factor of the polynomial P(x) then we need to find the P(2) is Not Zero. Therefore, the option B is the correct answer.

Suppose the considered polynomial is of only one variable.

Then, the standard form of that polynomial is the one in which all the terms with higher exponents are written on left side to those which have lower exponents.

Given information;

If x + 2 is the only factor of the polynomial P(x) then we need to find the P(2) :

P(x) = x + 2

p(2) = 2 + 2

p(2) = 4

The P(2) is Not Zero.

Therefore, the option B is the correct answer.

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Answer: (2, -1) is where they intersect.

Answer:

Step-by-step explanation:

17. 1 foot=12 inches

So subtract 12 from 28

28-12

=16

Lena's puppy will grow 16 inches more.

18. The kittens can be

3.4, 3.3, 3.2, 3.1, 3, etc. ( units in ounces)

There are a lot of combinations so you have to find out ALL the possible combined values. ( I don't think I can fit all of them on here you will probaly have to do some work for it)

Hopefully this helps!!!

☁️ Answer ☁️

17. The puppy will grow 16 inches

One foot equals 12 inches. Lena's puppy will grow to be at most 28 inches. 28-12=16 inches.

18. 24.5

the possible values of the combined weights of the kittens is not more than 24.5 ounces. Since there are 7 kittens, the combined weight of the kittens is 7w, therefore the above expression could be read as "The combined weight of the kittens is less than 24.5 ounces

The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.

We have,

To evaluate the limit of the expression as x approaches 0, we can simplify the expression first.

The expression is given as lim(x approaches 0) (cosec(2x) - x cosec³(x)).

Using trigonometric identities, we can rewrite cosec(2x) as 1/sin(2x) and cosec³(x) as 1/(sin(x))³.

Substituting these into the expression,

We get lim(x approaches 0) (1/sin(2x) - x (1/(sin(x))³)).

Now, let's evaluate the limit term by term:

lim(x approaches 0) (1/sin(2x)) = 1/sin(0) = 1/0 (which is undefined).

lim(x approaches 0) (x (1/(sin(x))³))

= 0 (1/(sin(0))³)

= 0 x 1/0 (which is also undefined).

Since both terms of the expression are undefined as x approaches 0, we cannot determine the limit of the expression.

Therefore,

The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.

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Answer:

he spent $18.57 and he can spend $7.43 more

The solution is, he can still spend no more than $6.43.

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

given that,

Wyatt wants to spend no more than $25 at the grocery store.

He bought a pizza for $7.55 and a cake for $11.02 (including tax).

now, we have to find the inequality that he can use to find how much money he can still spend.

let, we would spend = x

now, we have,

He bought a pizza for $7.55 and a cake for $11.02

so, he had = $ x - ( 7.55 + 11.02)

we have,

x ≥ 25

so, he can still spend ≥ 25 -  ( 7.55 + 11.02)

or, he can still spend ≥ 6.43

i.e.  he can still spend no more than $6.43

Hence, The solution is, he can still spend no more than $6.43.

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Answer:

f(x) = (x+2) (x+3)

Step-by-step explanation:

We can find the equation of a quadratic by the roots

If will be in the form

f(x) = a( x-b) (x-c)  where b and c are the roots of the equation

f(x) = a( x - -2) (x - -3)

f(x) = a( x+2) (x+3) where a is a constant

Letting a = 1

f(x) = (x+2) (x+3)

Answer:

5p + 7q

Step-by-step explanation:

7p + 6q - 2p + q​

All you need to do is....

Combine Like Terms

* Put all the ones with "p"'s together, and all the ones with "q"'s together

7p with -2p and 6q with q

7p - 2p + 6q + q

5p + 7q

And you cannot simplify it anymore, because they are not like terms (dont have the same variables)

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

= 5p+7q as the answer

Step-by-step explanation:

l hope it helps