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Your parents decide to build a rectangular pool in your backyard. They determine that the length of the pool should be 15 feet longer than the width.
Your parents put in fencing around the walkway for safety. If 110 feet of fencing is used, what are the dimensions of the pool? Show your work.

Answer:

f(x)=1/4(5-x)²

Step-by-step explanation:

f(11)=1/4(5-11)²

1/4(-6)²

1/4(36)

=9

Answer:

=9

Step-by-step explanation:

;0

Answer:the area is = the length*the width

2x^2-11x+15= (2x-5)* the width

you have to divide 2x^2 - 11 x + 15 at 2x-5

2x^2-11x+15   |  2x-5

-2x*2+5x                 x-3

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

/       -6x+15

       +6x-15

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

         /   /

the answer is X-3

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

D would be the answer:) hope this helps

The best account if one plans to make frequent withdrawals via check or debit card is A. Checking account

Checking accounts:

Checking accounts are best when a person wants easy access to their money because they can get to it via checks or debit cards. The drawback however, is that interest on these accounts are low.

In conclusion, option A is correct.

Find out more about checking accounts at https://brainly.com/question/21714367.

Answer:

x^2 + 10x - 24 = 0

Step-by-step explanation:

Two zeros are 2 and -12:

So the function is (x-2)(x+12) = 0

<=> x^2 + 12x - 2x - 24 = 0

<=> x^2 + 10x - 24 = 0

Answer:

its option B

Step-by-step explanation:

Answer:

the answer is d

Step-by-step explanation:

Answer:

$3671.58

Step-by-step explanation:

Take the annual salary and divide it by the number of months

Answer:

13.84

Step-by-step explanation:

Answer:

13.84

Step-by-step explanation:

 im always here to help...

Using the hypergeometric distribution, it is found that there is a 0.0002 = 0.02% probability that 4 of those containers are the same flavor.

The flavors are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability of choosing all containers of one flavors is P(X = 4).

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 4) = h(4,52,5,4) = \frac{C_{4,4}C_{48,1}}{C_{52,5}} = 0.000018469[/tex]

13 x 0.000018469 = 0.0002

0.0002 = 0.02% probability that 4 of those containers are the same flavor.

A similar problem is given at https://brainly.com/question/25743676

The probability that 4 of those containers are the same flavor is 0.02% and this can be determined by using the Hypergeometric distribution.

Given :

The probability according to the Hypergeometric distribution is given by:

[tex]\rm P(X=x) = h(x,N,n,k)=\dfrac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]     --- (1)

where the total number of successes is 'x', population size is 'N', the sample size is 'n', and the total number of desired outcomes is 'k'.

Now, substitute the values of known terms in the expression (1).

[tex]\rm P(X=4) = h(4,52,5,4)=\dfrac{C_{4,4}C_{48,1}}{C_{52,5}}[/tex]

[tex]\rm P(X=4) =0.000018469[/tex]

Now, multiply the above result by 13.

[tex]13\times 0.000018469=0.0002[/tex]

So, the probability that 4 of those containers are the same flavor is 0.02%.

For more information, refer to the link given below:

https://brainly.com/question/23017717

Step-by-step explanation:

I've been a substitute for a few day for College students so the answer is y equal s x2-5x+2

Answer:

All of them are equal to 2.427

Step-by-step explanation:

A = 2.427

B = 2.427

C = 2.427

D = 2.427

Answer:

65 hot dogs, 96 sodas

Step-by-step explanation:

x + (x + 31) = 161

2x + 31 = 161

2x = 130

x = 65

65 hotdogs

65 + 31 = 96

96 sodas

From the information given, it can be deduced that the actual distance from Terre Haute to Indianapolis to Bloomington is 150km.

From the complete information, we are told that on the map of Indiana, 1cm = 50km.

Therefore, since Terre Haute to Indianapolis to Bloomington measures 3 cm on the map, the actual distance will be:

= 3 × 50 = 150km

Learn more about distance on:

https://brainly.com/question/2166162

Answer:

if you are from connexus 8th grd 02051 pre-algebra A unit 5 lesson 6

then here are the correct answers

Step-by-step explanation:

1. B. 150 km

2. A. 300 km

3. D. 7.5 cm

4. B. 30 yd ^ 2

5. A. 90 x 45

i hope this helps please coment if you can! = ) <3

Explanation:

The f(x) function is piecewise, and it has a double identity depending on what x is.

If x is between -6 and 1, excluding -6 but including 1, then f(x) = -6. This is the same as saying y = -6. This produces a horizontal flat line from x = -6 to x = 1. Note the open hole at x = -6 to indicate it's not part of the graph. In contrast, the closed hole at x = 1 is included.

The second piece says that y = -2x+5 when x is between 1 and 6, excluding both endpoints. We have open holes at each endpoint.

So to summarize, the f(x) function is a collection of two different functions depending on what the x input is. We only draw a small piece of each function based on the intervals provided by x.

Answer:

on the way there she was going at 25 km/hr

Step-by-step explanation:

Answer:

A: 150+(45•p)

B: 125+(50•p)

Step-by-step explanation:

You multiply the monthly fee by a letter representing an unknown number because we dont know how many months you are staying with each company and we add the one time fee because you are only paying once, so in conclusion you add the one time fee to the result of  the monthly fee by how many months.

[tex](1)\\\\|2x-4| =10\\\\\implies 2x-4 = 10~~ \text{or}~~ 2x -4 = -10\\\\\implies x = \dfrac{14}2 = 7 ~~\text{or}~~ x = -\dfrac{6}2=-3\\\\\\(2)\\\\-5|-4x+4|-7 = -67\\\\\implies -5|-4x+4| = -67 +7 = -60\\\\\implies |-4(x-1)| = \dfrac{-60}{-5}=12\\\\\implies 4|x-1| = 12\\\\\implies |x-1| =\dfrac{12}4 = 3\\\\\implies x-1 = -3~~\text{or}~~ x-1=3\\\\\implies x = -2~~ \text{or}~~ x = 4[/tex]

Answer:

the answer is C

Step-by-step explanation:

40,000/.80 = 50,000

50,000 x .10 = 5,000

50,000 - 5,000 = 45,000

45,000 x .06 =2700

45,000 + 2,700 = 47,700

Answer:

7

Step-by-step explanation:

the square root of 49 is 7 since 7 x 7 = 49

Step-by-step explanation:

Equation of a straight line

y = mx + c, m is the slope, and c the intercept

points (3,7) x = 3, y = 7, c = 1

7 = m × 3 + 1

7 = 3m + 1

3m = 7 - 1

3m = 6

m = 6/3

m = 2

Answer:

A good way to know how to solve a problem like this is to look at the units. Here we have miles per hour (65 miles/hour) and hours (5 hours) and we want to find X miles. So take a look at the units:

(Miles/hour) * (hours) = miles

So we can just plug in the values…

65 * 5 = 325

Whenever I get confused by a question like this I always try to remember that the word "per" just means divided by. So mph = miles/hour. And from there the algebra is pretty simple.

Another tip, your physics professor will always be tickled if at the end of your answer you list some of the assumptions you made like this: "assuming the car is traveling at a perfectly constant rate without stopping."

Answer:

65

Step-by-step explanation:

If a car drives 65 miles in an hour, they would travel 65 miles in one hour. The equation for this would be 65x, with x representing the number of hours driven.

Step-by-step explanation:

-3x + 3y = 27

-x + y = 9

y = x + 9

so the y-intercept is 9 (y value when x =0).

and as point (0, 9)

the x-intercept is the x value when y = 0 :

0 = x + 9

x = -9

and as point (-9, 0)

Answer:

There all 67 degrees

Step-by-step explanation:

Answer:

y= 119

Step-by-step explanation:

From the diagram we know that opposite angles are the same so we can assume that y and its opposite angle will be the same too

All inner angles of a parallelogram add up to 360

61+61=122

360-122=238

238/2=119

Answer:

10,597.50 cubic mm

Step-by-step explanation:

V(cone) = [3.14(h)(r²)] ÷ 3

= 3.14(15)(15²) ÷ 3

= 10,597.5

Answer:

C

Step-by-step explanation:

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