3) An air conditioner has a marked price of $350. It is placed on sale at 12% off. What are the
discount and the sale price?
Show work please !

Answer:

a = 10

T8 = 1280

Step-by-step explanation:

The nth term of a GP is expressed as;

Tn = ar^n-1

Forth term T4 = ar^3

first term = a

If the ratio of the fourth to the first term of a geometric sequence is ⅛ then;

ar^3/a = 1/8

r^3 = 1/8

r = ∛1/8

r = 1/2

If the first term exceed the second by 5, then;

a = 5 + T2

a = 5 + ar

a = 5 + a(1/2)

a-1/2a = 5

1/2 a  5

a = 10

Hence the first term is 10

T8 = ar^7

T10 = 10(1/2)^7

T10 = 10(128)

T10 = 1280

Hence the 8th term is 1280

Answer:

2(5) + 3 = 13

Step-by-step explanation:

x=5

y=3

2x+y=13

2(5)+3=13

10 +3 =13

Answer:

Step 1

2x+y+-y = 13 +-y

2x=-y+13

Answer:

D. 4 centimeters, 6 centimeters, 9 centimeters

Step-by-step explanation:

Considering side length for forming a triangle, most of the time it is about Triangle Inequality Theorem, which for 3 sides length a,b,c, it must satisfy the following set of inequalities:  

[tex]a+b>c\\a+c>b\\b+c>a[/tex]

By checking each of them only D satisfy:

[tex]4+6=10>9\\6+9=15>4\\9+4=13>6[/tex]

For simplicity you only have to check if the two shortest sides add up to be larger than the longest side:

[tex]4+6>9[/tex]

Answer:

2A + 2b

Step-by-step explanation:

Distributive property

Answer:

ummmmmmm okkkkkkkkkkk

Step-by-step explanation:

dddddddddddddddddddddddddddddd

Answer:

z = 5

Step-by-step explanation:

Answer:

the question is incorrectly written. please rewrite the question.

Answer:

6^5 or 7776

Step-by-step explanation:

When you divide exponentials you minus the exponents. 15-10=5

6^5 = 7776

Answer:

6^5 = 7776

Step-by-step explanation:

6^15 /6^10 = 6^(15-10) = 6^5 = 7776

Answer:

[tex]Area = x^2- 25[/tex]

[tex]Area =9x^2 +24x + 16[/tex]

[tex]Length = (3x -2)[/tex]

[tex]Speed = \left(y^2-3y+1\right)[/tex]

[tex]Product = 3m^3 + 6m^2 - 6m[/tex]

Step-by-step explanation:

Solving (1):

[tex]Length = (x + 5)[/tex]

[tex]Width = (x - 5)[/tex]

Required

Calculate Area

[tex]Area = Length * Width[/tex]

[tex]Area = (x + 5) * (x - 5)[/tex]

[tex]Area = x^2 + 5x - 5x - 25[/tex]

[tex]Area = x^2- 25[/tex]

Solving (2):

Given

[tex]Length = (3x + 4)[/tex]

Required: Calculate Area

[tex]Area =Length * Length[/tex]

[tex]Area =(3x + 4) * (3x + 4)[/tex]

[tex]Area =9x^2 + 12x + 12x + 16[/tex]

[tex]Area =9x^2 +24x + 16[/tex]

Solving (3):

[tex]Area = 3x^2 + 7x - 6[/tex]

[tex]Width = x + 3[/tex]

Required: Calculate Length

[tex]Area = Length * Width[/tex]

[tex]Length = \frac{Area}{Width}[/tex]

[tex]Length = \frac{3x^2 + 7x - 6}{x + 3}[/tex]

Factorize the numerator

[tex]Length = \frac{3x^2 + 9x -2x - 6}{x + 3}[/tex]

[tex]Length = \frac{3x(x + 3) -2(x + 3)}{x + 3}[/tex]

[tex]Length = \frac{(3x -2) (x + 3)}{x + 3}[/tex]

Divide by x + 3

[tex]Length = (3x -2)[/tex]

Solving (4):

[tex]Distance = (2y^3 - 7y^2 + 5y -1)[/tex]

[tex]Time = 2y - 1[/tex]

Required: Determine the average speed

This is calculated as:

[tex]Speed = \frac{Distance}{Time}[/tex]

[tex]Speed = \frac{2y^3 - 7y^2 + 5y -1}{2y - 1}[/tex]

Factorize the numerator

[tex]Speed = \frac{\left(2y-1\right)\left(y^2-3y+1\right)}{2y - 1}[/tex]

[tex]Speed = \left(y^2-3y+1\right)[/tex]

Solving (5):

Multiply [tex](m^2 + 2m - 2)[/tex] by sum of [tex](m + 3)[/tex] and [tex](2m - 3)[/tex]

First, calculate the sum:

[tex]Sum = m + 3 + 2m - 3[/tex]

[tex]Sum = m + 2m+3 - 3[/tex]

[tex]Sum = 3m[/tex]

Then, the product

[tex]Product = (m^2 + 2m - 2)(3m)[/tex]

[tex]Product = 3m^3 + 6m^2 - 6m[/tex]

Answer:

Step-by-step explanation:

Solving (1):

Required

Calculate Area

Solving (2):

Given

Required: Calculate Area

Solving (3):

Required: Calculate Length

Factorize the numerator

Divide by x + 3

Solving (4):

Required: Determine the average speed

This is calculated as:

Factorize the numerator

Solving (5):

Multiply  by sum of  and  

First, calculate the sum:

Then, the product

Answer:

either she's nervous and doesn't know how to talk or she's mad at you. i would say she doesn't like u but she started the convo

Answer:

37

Step-by-step explanation:

3 + 7 = 10

73 - 37 = 36

Answer:

2.9 as a fraction, and percent.

Step-by-step explanation:

divide it 35÷12=2.9

Answer:

Ik this is late but the answer is 4(4x + 7)

Step-by-step explanation:

The expression by using the greatest common factor is 4(4x + 7).

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 16x + 28. The expression by using the greatest common factor is calculated as,

E = 16x + 28

E = 4(4x + 7)

Therefore, the expression using the greatest common factor is 4(4x + 7).

To know more about an expression follow

https://brainly.com/question/27526746

#SPJ5

Answer:

99% confidence interval is 0.07 < σ < 0.32

Step-by-step explanation:

Given that;

standard deviation s = 0.12 sec

s² = 0.12² = 0.0144

degree of freedom DF = n - 1 = 8 - 1 = 7

99% confidence interval

∝ = 1 - 99% = 1 - 0.99 = 0.01

now, we find x² critical values for ∝/2 = 0.005 and 1 - ∝/2 = ( 1 - 0.005) = 0.995, df = 7

The Lower critical value [tex]X^{2}_{\frac{\alpha }{2}},7[/tex] = 20.2777

The Upper critical value [tex]X^{2}_{1-{\frac{\alpha }{2}},7[/tex] = 0.9893

Now, confidence interval is given by

√[ ( (n-1)×s² ) / ( [tex]X^{2}_{\frac{\alpha }{2}},7[/tex] ) ] < σ < √[ ( (n-1)×s² ) / (  [tex]X^{2}_{1-{\frac{\alpha }{2}},7[/tex]  ) ]

so we substitute

√[ ( 7×0.0144 ) / ( 20.2777 ) ] < σ < √[ ( 7×0.0144 ) / ( 0.9893 ) ]

√[ ( 7×0.0144 ) / ( 20.2777 ) ] < σ < √[ ( 7×0.0144 ) / ( 0.9893 ) ]

√0.0049711 < σ < √0.10189

0.0705 < σ < 0.3192

Rounding to the nearest 2 decimal places

0.07 < σ < 0.32

Therefore; 99% confidence interval is 0.07 < σ < 0.32

Answer:

The single decimal multiplier is 1.0296.

Step-by-step explanation:

Multipliers:

For a decrease of a%, we multiply by: [tex]\frac{100-a}{100}[/tex]

For a increase of a%, we multiply by: [tex]\frac{100+a}{100}[/tex]

For consecutive changes, we multiply the multipliers.

Decrease of 1%

Multiplication by [tex]\frac{100-1}{100} = \frac{99}{100} = 0.99[/tex]

Increase of 4%

Multiplication by [tex]\frac{100+4}{100} = \frac{104}{100} = 1.04[/tex]

Consecutive:

0.99*1.04 = 1.0296

The single decimal multiplier is 1.0296.

13.3 is the rate boom

Answer:

No

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Identify Variables

Leg a = 7

Leg b = 16

Hypotenuse c = 18

Step 2: Check

Since we know that 305 does not equal 324, that means the side lengths do not form a Pythagorean triple.

Answer:

12 minutes

4*3

That's the answer

Answer: the slope is 0 if you are talking about what is the slope of 2,-3 and -2,-3 because that’s what is in the picture

Step-by-step explanation: slope is the y values over the x values

Answer:

What are some awnsers :^

[tex]2688[/tex]

1) Simplify 2 × 8 to 16.

[tex]16 \times 12 \times 14[/tex]

2) Simplify 12 × 16 to 192.

[tex]192 \times 14[/tex]

3) Simplify.

[tex]2688[/tex]

So, therefor, the answer is, 2688.

Answer:

(2, -8)

Step-by-step explanation:

y=6x-20

y=-4x

since the bottom equation shows us that y=-4x, we can substitute 4x in place of y in the first equation and solve:

-4x=6x-20

-10x=-20

x=2

since the bottom equation shows y=-4x, and we already know that x=2:

y=-4(2)

y=-8

(2, -8)

Answer:

144

Step-by-step explanation

8x6=48

48 divided by 2=24

24x2=48

4x10=40

8x4=32

4x6=24

add them all together so 48+40+32+24=144

Answer:

Step-by-step explanation:

3 219494

Answer:

d

Step-by-step explanation:

Answer:

323.5 square inches

Step-by-step explanation:

The cereal box is not shown. However, the given details are enough to arrive at a solution

[tex]Length = 13.5in[/tex]

[tex]Width = 2.5in[/tex]

[tex]Height = 8in[/tex]

Required

The total surface area (TSA)

This is calculated as:

[tex]TSA = 2 * (Length * Width + Length * Height + Width * Height)[/tex]

[tex]TSA = 2 * (13.5 * 2.5 + 13.5 * 8 + 2.5 * 8)[/tex]

[tex]TSA = 2 * (161.75)[/tex]

[tex]TSA = 323.5[/tex]

Hence, the total surface area is 323.5 square inches