Need help!! algebra!!!

Part A: The area of a square is (4a2 − 20a + 25) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)

Part B: The area of a rectangle is (9a2 − 16b2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)

Answer:

You can select all of them is 40320 ways.

Step-by-step explanation:

Number of arrangements of n elements:

The number of arrangements of n elements, that is, the number of ways in which n elements can be chosen without replacement, is given by:

[tex]A_{n} = n![/tex]

In this question:

8 elements, so:

[tex]A_{8} = 8! = 40320[/tex]

You can select all of them is 40320 ways.

Answer:

a) 0.0879 = 8.79% probability the detector will identify a random mile of roadway as irregular.

b) 0.3379 = 33.79% probability it actually is irregular

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

a. What is the probability the detector will identify a random mile of roadway as irregular?

99% of 3%(it is irregular).

6% of 97%(false positive). So

[tex]p = 0.99*0.03 + 0.06*0.97 = 0.0879[/tex]

0.0879 = 8.79% probability the detector will identify a random mile of roadway as irregular.

b. Given a randomly selected miles has been identified as irregular by the detector, what is the probability it actually is irregular? Give your answer to four decimal places.

Conditional probability:

Event A: Identified as irregular

Event B: It is irregular.

0.0879 = 8.79% probability the detector will identify a random mile of roadway as irregular, which means that [tex]P(A) = 0.0879[/tex]

99% of 3% arre irregulars identified as, which means that [tex]P(A \cap B) = 0.03*0.99 = 0.0297[/tex]

The desired probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0297}{0.0879} = 0.3379[/tex]

0.3379 = 33.79% probability it actually is irregular

Answer:

7a + 2b

Step-by-step explanation:

Given

4a + 3b + 3a - b ← collect like terms

4a + 3a + 3b - b

= 7a + 2b

Hi there!

[tex]\large\boxed{P = 22 cm}[/tex]

To find the perimeter, we must find the length of the rectangle.

We know the area is 24, thus:

A = l × w

24 = l × 3

24/3 = l = 8 cm

Find the perimeter using the formula:

P = 2l + 2w

Plug in the solved length and width:

P = 2(8) + 2(3) = 16 + 6 = 22 cm.

Answer:

[tex]A = 2B[/tex]

[tex]A + B = 25[/tex]

Step-by-step explanation:

Given

The first statement implies that:

[tex]X = A + B[/tex] i.e the components of X

Reading further, we have:

[tex]X = 45[/tex] ---- The mass of X

[tex]A = 2B[/tex] --- The relationship between [tex]A\ and\ B[/tex]

Required

Two equations to represent the scenario

The two equations are:

[tex]A = 2B[/tex] --- The relationship between [tex]A\ and\ B[/tex]

[tex]X = A + B[/tex] i.e the components of X

Substitute 25 for X in the second equation

[tex]25 = A + B[/tex]

[tex]A + B = 25[/tex]

So, the equations are:

[tex]A = 2B[/tex]

[tex]A + B = 25[/tex]

Answer:

22+34i

Step-by-step explanation:

Brainliest?

Answer:

22+34i

Step-by-step explanation:

(12+9i)+(10+25i)

12+9i+10+25i

12+10+9i+25i

22+34i

Answer:

[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex]

by using Pythagoras law:

h²=p²+b²

10²=z²+8²

z²=100-64

z=√36=6

z=6 units.

Answer:

60

Step-by-step explanation:

Plug it into the calculator

Answer: 21000

its 21000 hope this helps have a good rest of day/night :D <3

Step-by-step explanation:

Answer:

6 millimeters

Step-by-step explanation:

All the sides on a square are equal and a square has four sides. For perimeter you add up all the sides which in this case have to add up to 24.

So, 6 + 6 + 6 + 6 = 24

Answer: 8 days

Step-by-step explanation:

K=14+8x

J=35+5x

when K=J they will have the same amount

14+8x=35+5x

8x=21+5x

3x=21

x=7 days until they have the same amount- 8 days until she has more

Answer:

J)  [tex]\frac{17}{24}[/tex]

Step-by-step explanation:

[tex]\frac{3}{8} +\frac{1}{3} \\\\\frac{9}{24} +\frac{8}{24} = \frac{17}{24}[/tex]

Find the common denominator ^^

Answer:

17/24

Step-by-step explanation:

3/8× 3/3=9/24

1/3×8/8=8/24

8/24 +9/24= 17/24

Answer:

not a prime factor

Step-by-step explanation:

Answer:

The possibility of rolling a  

3

on a fair die and getting tails on a coil is  

1

12

. Based on this probability, there are  

12

possible outcomes. As only 1 out of 12 possiblities would get this outcome, it is not a likely outcome.

Step-by-step explanation:

The probability of rolling a  

3

on a fair die is  

1

6

because there is only one  

3

out of  

6

numbers. The probability of getting tails on a coin is  

1

2

because there are  

2

possibilities and tails is one of them. To get the probability of rolling a  

3

on a fair die and getting tails on a coil, we multiply their probabilities:

1

6

⋅

1

2

=

1

12

There are  

12

possiblities because for each of the  

6

possibilites for rolling a die, there are  

2

possibilites for flipping a coin.

Answer:

answer is 90 hr for question 1

Step-by-step explanation

48 hr     8 liter

 ?           15 liter

so what ur going to do is u criss-cross when u do u multipy 48 with 15 and 8 with "?" when u multiply 48 with 15 u get 720 and when you multiply 8 with "?" u get 8?

so it will look like this

720= 8?

let make "?" an "x" for a better understanding. so the reason we are making it an "x" is because we dont know the amount of hr it takes for 15 liters of water to leak.

let go back to the calculation.

so it will look something like this

720 = 8x

exactly the same thing but we made "?" an"x"

so now we divide both sides with 8. why? because we need "x" alone and want 8 to disappear

so when u divide both sides with 8 it will look something like this

780/8 =x

so when u divide 780 with 8 u get 90. so what does that mean? it means it takes 90 hr for 15 liters of water to leak.

do you understand?

Answer:

the correct answer is 2,432

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]\triangle ABC[/tex]

[tex]\angle A = 10[/tex]

[tex]\angle B = 145[/tex]

Required

Similar [tex]\triangle[/tex] to [tex]\triangle ABC[/tex]

The question is incomplete as the other triangles to make comparison from, are not given.

However, general information that could help you are as follows.

The given parameters show that we have to consider AA criterion for selecting similar triangles.

So, you need to check the [missing] given triangles, and pick any that have 10 and 145 (in that particular order) as measures of two of its angles.

Take for instance.

[tex]\triangle DE\ F[/tex]

Where

[tex]\angle D = 10[/tex]

[tex]\angle E = 145[/tex]

See that:

[tex]\angle D = 10[/tex] is similar to [tex]\angle A = 10[/tex]

[tex]\angle E = 145[/tex] is similar to [tex]\angle B = 145[/tex]

This means that:

[tex]\triangle DE\ F[/tex] is similar to [tex]\triangle ABC[/tex] by AA

Answer:

The answer is the 10 degrees on and 25 degreees

Step-by-step explanation:

AP EX

Answer:

AB=23.40cm

Step-by-step explanation:

(AB)²=(AB)²+(BC)²

(AB)²=22×22+8×8

=484+64

(AB)²=548

AB=23.40 cm

hope it helps...

have a great day!!

Answer:

190cm squared

Step-by-step explanation:

The surface area formula and a surface area calculator both gave this answer. Hope you do good on your assignment.

Answer:

36

Step-by-step explanation:

5x4=20

4×4=16

16+20=36

Answer:

Height is 25in

Base is 18in

Step-by-step explanation:

225=[x*(x+7)]/2=[x^2+7x]/2

450=x^2+7x

x^2+7x-450=0

(x+25)(x-18)=0

Answer:

40,000

Step-by-step explanation:

Answer:

It would be 40,000

Explanation:

It is in the ten thousands digit.

Answer:

Step-by-step explanation:

18 tiles and 10 shaded in

9514 404 393

Answer:

Step-by-step explanation:

We are told that the costs add up this way:

  trip cost = bus rental + 2 × (cost of play)

Given that ...

The above equation can be rewritten as ...

  65 = 10 + 2x . . . . . . the desired equation

__

Solving for x, we have ...

  55 = 2x . . . . subtract 10

  27.50 = x . . . . divide by 2

The cost of one play is $27.50.

Answer:

6/9

Step-by-step explanation:

Answer:

6/9 I think that's the answer