"Scenario: You have to pay your share of the rent today. The total rent for your apartment is $1762.50. You have two roommates that you share the costs. You owe 1/3 of the rent. You checked your account balance online and your current balance is $668.72"

Answer:

I got (G^B) +F-K+L= (G^B)

Step-by-step explanation:

Answer:

-8/4-21x

Step-by-step explanation:

Distribute inside the parantheses

Divide -8 and 4

Add the two terms

Simplify

Answer:

first answer

Step-by-step explanation:

Hello, you know that

[tex]\dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\cdot \dfrac{d}{c}[/tex]

So, the quotient we need to estimate is

[tex]\begin{aligned}\dfrac{x^2-36}{x+8}\cdot\dfrac{4x+32}{x^2+12x+36}&=\dfrac{x^2-6^2}{x+8}\cdot \dfrac{4(x+8)}{(x+6)^2}\\\\&=\dfrac{4(x-6)(x+6)}{(x+6)^2}\\\\&=\dfrac{4(x-6)}{x+6}\end{aligned}[/tex]

Thank you

Answer: false

Additive identity - the number 0; when added to any number, the value of the number does not change

( one is multiplicative identity )

Answer:

x² - 2

Step-by-step explanation:

To obtain (g ￮ f)(x), substitute x = f(x) into g(x), that is

g(x² - 3)

= x² - 3 + 1

= x² - 2

Answer:

✔ x² - 2

Step-by-step explanation:

EDG 2020

Answer:

Negative of 5 exists

It continues in the left part of a number line...

Hence the answer is false it does exist

Answer:

v=0.104167m/s

Step-by-step explanation:

Given:

s=43.75

t=7min

Required:

v=?

Formula:

v=s/t

t in second

Solution:

1min=60s

7min=7*60s=420s

v=s/t

v=43.75m/420s

v=0.104167m/s

Hope this helps ;) ❤❤❤

Answer:

the answers are

13) -6

14) 6

15) -5

16) 3

17) 14

18) -4

19) -15

20) 4

21) 5

22) -12

Answer:

z^4-z²-20

Step-by-step explanation:

( z^2 + 4 ) ( z^2 – 5)

z^4+4z²-5z²-20

z^4-z²-20

Answer:

1079

Step-by-step explanation:

Hello,

18-5 = 13

31-18=13

44-31=13

161=5+13*12

So we need to compute

[tex]\displaystyle \sum_{k=0}^{k=12} \ {(5+13k)}\\\\=\sum_{k=0}^{k=12} \ {(5)} + 13\sum_{k=1}^{k=12} \ {(k)}\\\\=13*5+13*\dfrac{12*13}{2}\\\\=65+13*13*6\\\\=65+1014\\\\=1079[/tex]

Thanks

The required sum of the arithmetic series 5+18 +31 +44 + ... 161 is 1079.

Given that,
Arithmetic series: 5+18 +31 +44 + ... 161.

The Sum of the series is to be determined.

Arithmetic progression is the series of numbers that have common differences between adjacent values

Here,
From the given series
First term A = 5, Common difference D = 13 and last term L = 161
Last term = An + (n -1)
161 = 5 + (n - 1)13
n - 1 = (161 - 5) / 13
n = 12 + 1
n = 13

Now the sum of an arithmetic series,
S = n /2 (A + L)
S = 13 / 2 (5 + 161)
S = 13 / 2 * 166
S = 13 * 83
S = 1079

Thus, the required sum of the arithmetic series 5+18 +31 +44 + ... 161 is 1079.

Learn more about arithmetic progression here: https://brainly.com/question/20334860
#SPJ2

25.36+5.09+11.45= 41.9$ intotal

Answer:

41,9

Step-by-step explanation:

25.36+5.09+11.45

Answer: About 88 inches

=============================================

Explanation:

Find the circumference

C = pi*diameter

C = (22/7)*28

C = 88

The tire's circumference is approximately 88 inches. This is the perimeter or distance around the circle. As the bike moves forward one full rotation of the wheel, all of the wheel will touch the ground at some point. The bike will move about 88 inches forward when the wheel does one full rotation.

A good way to visualize this is to imagine cutting the tire so that you can unroll it to lay it out completely flat forming a straight line. This line will be roughly 88 inches long.

Answer:

5

Step-by-step explanation:

Answer:

4×(x+8)=25.

use the 4 to multiply the numbers in the bracket.

which is 4x+32=25.

then collect like terms which is...

4x=25-32...

4x=-7.

x=-7/4= -1.75 or -1 whole number 3/4.

*see the given given in the attachment below

Answer:

x = 109°

Step-by-step Explanation:

Since AB is parallel to CF, m<BAE = m<AED = 38° (alternate interior angles are congruent)

Since AE = DE, ∆AED is an isosceles ∆.

The two base angles of any given isosceles ∆ are said to be congruent.

This means, m<EAD = m<EDA = ½(180 - m<AED)

m<EDA = [tex] \frac{1}{2}*(180 - 38) [/tex]

m<EDA = [tex] \frac{1}{2}*(142) = 71 [/tex]

x + m<EDA = 180° (angle on a straight line)

[tex] x + 71 = 180 [/tex]

[tex] x + 71 - 71 = 180 - 71 [/tex]

[tex] x = 109 [/tex]

Value of x = 109°

Answer:

14.48 ft

Step-by-step explanation:

The relation between the location of the focus (c), the vertex on the major axis (a) and the vertex on the minor axis (b) with respect the center is:

b² = a² - c²

From the question:

c = 4 ft

a= 30/2 = 15 ft

Replacing into the equation:

b² = 15² - 4²

b = √209

b = 14.48 ft

So, he should build the whisper chamber at 14.48 ft out from the center along the minor axis

Answer: The answer to this questiojn is 14.48 feet, but if rounded to the nearest tenth, then it should be 14.5 (As it was on my question)

Answer:

(11-1-1)(1+1)

Step-by-step explanation:

revised

9/7 (a)

(b) 1 whole 2/7 is the answer of ur question

Answer:

Fraction of work shift represented by 6 hours = 0.6

Step-by-step explanation:

Total work shift of employee = 10 hours

Time considered  to find fraction = 6 hours

Fraction of work shift represented by 6 hours  6/10=3/5=0.6=60%

Fraction of work shift represented by 6 hours = 0.6

Answer:

0.75

Step-by-step explanation:

Total work shift of an employee is 8 hours

Time consist to find fraction is 6 hours

The fraction of work shift by 6 hours :

[tex]\frac{6}{8}[/tex]  =  [tex]\frac{3}{4}[/tex] = 0.75 = 75%

Ans

8 option b.

Step-by-step explanation:

3+4/2+3

=3+2+3

=5+3

=8

1. Potential Energy = mgh

h = U_g / (mg) = 14 / (17 * 9.81) = 0.084 m above the ground.

2. Kinetic Energy = 1/2 mv^2

m = 2K_e / (v^2) = 2.45 kg

3. U_g = mgh = (1200)(9.81)(24) = 282528 J

4. U_g = mgh = (478)(9.81)(150) = 703377 J

5. U_g = mgh = (100)(9.81)(12.5) = 12262.5 J

6. h = U_g / (mg) = 14 / (17 * 9.81) = 0.084 m above the ground.

7. m = U_g / (gh) = 1500 /  (9.81 * 35) = 4.37 kg

Answer:

The confidence interval is  [tex]13.4< \mu < 13.8[/tex]

Step-by-step explanation:

From the question we are told that

   The sample  mean is [tex]\= x = 13.6[/tex]

     The standard deviation is [tex]\sigma = 1.9[/tex]

     The sample  size is  [tex]n = 189[/tex]

given that the confidence level is  85% then the level of significance is mathematically represented as

            [tex]\alpha = (100 - 85 )\%[/tex]

            [tex]\alpha = 0.15[/tex]

Next we obtain the critical value  of [tex]\frac{\alpha }{2}[/tex] from the normal distribution table  the value  is  

      [tex]Z_{\frac{\alpha }{2} } = 1.44[/tex]

Generally the margin of error is mathematically represented as

        [tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }[/tex]

=>     [tex]E = 1.44* \frac{1.9}{\sqrt{189} }[/tex]

=>     [tex]E = 0.1990[/tex]

The  85%  confidence interval is mathematically represented as  

        [tex]\= x - E < \mu <\= x + E[/tex]

=>      [tex]13.6- 0.1990 < \mu < 13.6+ 0.1990[/tex]

=>      [tex]13.4< \mu < 13.8[/tex]

This question is incomplete, the complete question is;

A rocket is launched straight into the air with initial velocity 200 ft/s. Assume the launch is instantaneous. How high will it go, and how long will that take (use time increments of 0.01 seconds)? G= - 32.2 ft/s² , H₀=0 (the ground)

V(t)=V₀ + g t

H(t)= H₀ + V₀ t + ½ g t²

The rocket deploys a parachute after 9 seconds and descends at a constant rate of 20 ft/sec. How long does it take to reach the ground

Answer:

a) maximum height S is 621.12 ft and time taken to reach it is 6.21 sec.

b) The rocket deploys a parachute after 9 seconds and descends at a constant rate of 20 ft/sec,

Time taken to travel t = 24.79 sec

NOW total time taken = 27.55 sec

Step-by-step explanation:

Given that,

initial velocity u = 200 ft/s

acceleration a = 32.2 ft/s²

vertical displacement ( maximum height) S = ?

final velocity at highest point Ц = 0

NOW from the equation of motion

v² - u² = 2as

we substitute

0² - (200)² = 2 (-32.2) × s

s = 621.12 ft

time taken t = (v -u)/a = (0-200)/-32.2

t = (-200) / (-32.2)

t = 6.21 sec

distance traveled by rocket from t=6.21sec to t=9sec

Δt = (9-6.21) = 2.79sec

s = ut + 1/2at²

s = 0 + 1/2(32.2)(2.79)² = 125.32 ft

Remaining distance = 621.12 ft - 125.32 ft = 495.8 ft

Time taken to travel = t = s/v = (495.5ft) / (20 ft/sec)

t = 24.79 sec

NOW total time taken = 2.79sec + 24.79sec = 27.55 sec

Answer:

[tex]\Large \boxed{\frac{5}{4} }[/tex]

Step-by-step explanation:

The slope - intercept form of a line is written in the form :

[tex]\sf y = mx+b \\ \\ \\ m=slope \\ \\ b=y-intercept[/tex]

The slope of the line is 5/4.

Answer:

it's rational ..........

Do parentheses first:

6 +4-2 = 8

Now do brackets:

128/8 = 16

Now multiply:

16 x 8 = 128

The answer is 128

Answer:

I am not totally sure but the answer might be 0.0655.

Answer:

natural numbers - positive integers (whole numbers)

• 1

• 2

• 3

• 4

• 5

whole numbers - a number without fractions

• 10

• 11

• 12

• 13

• 14

rational numbers - a number that can be expressed as the ratio of two integers

• 1/3 or 0.3333...

• 17

• -34

• 25

• -10

integers - a whole number; a value that is not a fraction

• -5

• 49

• 68

• 439

• 35