1. What is the 15th partial sum of the geometric sequence (262,144; 32,768; 4,096; 512; ...)? Round to the nearest whole number, if needed.

Complete question :

Insulated concrete forms​ (ICF) can be used as a substitute for conventional wood framing in building construction. Heating and cooling bills will be about 60​% less than in a similar​ wood-framed building in upstate New York. An ICF home will be approximately 10​% more expensive to construct than a​ wood-framed home. For a typical 1,800 ftsquared2 home costing ​$130 ftsquared2 to construct in upstate New York and costing ​$260 per month to heat and​ cool, how many months does it take for a 1,800 ftsquared2 ICF home to pay back its extra construction​ cost?

Answer:

150 months

Step-by-step explanation:

Wood framing Construction cost :

Cost per ft² = $130

Total cost for 1800 ft² :

1800 * $130 = $234,000

Heating and cooling cost = $260

An ICF home:

Construction cost will be approximately 10% more expensive :

Hence, total cost of ICF = (1.1) * 234000 = $257,400

Extra cost on construction :

$257,400 - $234000 = $23,400

Heating and cooling cost ; 60% less expensive = (1 - 0.6) * $260 = $104

Saving in heating and cooling = $260 - $104 = $156 monthly

Number of months it takes to pay extra cost on construction :

Extra cost on construction / saving in heating & cooling

= $23,400 / $156

= 150 months

9514 1404 393

Answer:

  x^3 -14x^2 -6

Step-by-step explanation:

Your expression is the difference of two polynomials. The parentheses can be removed by using the distributive property. The minus sign outside the second set of parentheses applies to each term inside parentheses.

  -5x^2 +3 +x^3 -9x^2 -9

Now, you can group like terms. In "standard form", the degrees of the terms decrease from left to right.

  x^3 +(-5x^2 -9x^2) +(3 -9)

And combine like terms.

  x^3 -14x^2 -6 . . . . . simplified form of the given expression

Answer:

yes

Step-by-step explanation:

Answer:

sometimes

Step-by-step explanation:

Answer: The cost per pound for bananas is $1.5 per pound.

Step-by-step explanation:

To get this answer you will divide the cost by the amount of bananas you have.

Answer:

x = 4

Step-by-step explanation:

When something is perpendicular, it must form a 90° or right angle [it will make a square]. Also keep in mind that perpendicular lines have reciprocal [numerator and denominator switch] slopes [steepness]

If you are given a line with a slope of zero like y = 3, any given line of x will be perpendicular. This is because when y = n; x is undefined. When x = n ; y is undefined. Since you want a line that will go through point (4, -2) and will be perpendicular to y = 3, just set x to the value of x in the coordinate. And in this case x is 4 so x = 4 will be the equation.

Answer:

D. (2, -3) and E. (4,-1)

Step-by-step explanation:

In quadrant IV, the possible x-coordinate that can be gotten can only be positive, while the possible y-coordinate can only be a negative value. Thus, the coordinate pair we can get is a positive x-coory and a negative y-coordinate (x, -y).

Therefore, from the list of options given, the two ordered pairs that belong in Quadrant IV are D. (2, -3) and E. (4,-1)

Answer:

Jacob has more. $8,500,000 more.

Step-by-step explanation:

4.5 x 10^6 can be expressed as 4500000. and 1.3 x 10^7 can be expressed as 13000000. subtract, and you get %8,500,000

Answer:

the Inverse of the matrix is; A⁻¹

[tex]= \left[\begin{array}{ccc}\frac{-3}{(2k)} &\frac{1}{k}&\frac{15}{(2k)}\\\frac{-3k+15}{(10k)}&\frac{-1}{k}&\frac{-75+13k}{(10k)}\\\frac{1}{2}&0&\frac{-5}{2}\end{array}\right][/tex]

Step-by-step explanation:

Given the data in the question;

Matrix A = [tex]\left[\begin{array}{ccc}-25&-25&-13\\k&0&3\\-5&-5&-3\end{array}\right][/tex]

To find the Inverse of matrix A

A⁻¹ = Adj.A / det.A

so

Determinant of the matrix A will be

|A| = -25( 0 + 15) + 25( -3K + 15 ) - 13( -15K + 0 )

= -375 - 75K + 375 + 65K

= -10K

Now, the adjoin of matrix A will be

Adj.A = [tex]\left[\begin{array}{ccc}15&-10&-75\\3k-15&10&75-13k\\-5k&0&25k\end{array}\right][/tex]

The Inverse of the matrix is;

A⁻¹ = Adj.A / det.A

[tex]= \frac{1}{-10k} \left[\begin{array}{ccc}15&-10&-75\\3k-15&10&75-13k\\-5k&0&25k\end{array}\right][/tex]

[tex]= \left[\begin{array}{ccc}\frac{15}{-10k} &\frac{-10}{-10k}&\frac{-75}{-10k}\\\frac{3k-15}{-10k}&\frac{10}{-10k}&\frac{75-13k}{-10k}\\\frac{-5k}{-10k}&\frac{0}{-10k}&\frac{25k}{-10k}\end{array}\right][/tex]

[tex]= \left[\begin{array}{ccc}\frac{-3}{2k} &\frac{1}{k}&\frac{15}{2k}\\\frac{-3k+15}{10k}&\frac{-1}{k}&\frac{-75+13k}{10k}\\\frac{1}{2}&0&\frac{-5}{2}\end{array}\right][/tex]

[tex]= \left[\begin{array}{ccc}\frac{-3}{(2k)} &\frac{1}{k}&\frac{15}{(2k)}\\\frac{-3k+15}{(10k)}&\frac{-1}{k}&\frac{-75+13k}{(10k)}\\\frac{1}{2}&0&\frac{-5}{2}\end{array}\right][/tex]

Therefore the Inverse of the matrix is; A⁻¹

[tex]= \left[\begin{array}{ccc}\frac{-3}{(2k)} &\frac{1}{k}&\frac{15}{(2k)}\\\frac{-3k+15}{(10k)}&\frac{-1}{k}&\frac{-75+13k}{(10k)}\\\frac{1}{2}&0&\frac{-5}{2}\end{array}\right][/tex]

Answer:

a) 1  ( 100% )

b)   Co + 46/3 C1

Step-by-step explanation:

Delivery time = Y

Interval = 2 to 6 days

cost incurred ( C ) = Co + C1 Y^2

a) determine the probability that the delivery time exceeds two days

since the delivery time is uniformly distributed on the interval 2 to 6 days the probability of having a delivery time > 2 days will be = 1

b) Determine the expected cost associated with a single failed circuit board

E ( Y^2 ) = 46/3

hence the cost associated with a single failed circuit board =

E ( C ) = Co + 46/3 C1

attached below is a detailed solution

Answer:

c

Step-by-step explanation:

Answer:I say 8 for $12.40

Step-by-step explanation:

Answer:

8 for 12.50

Step-by-step explanation:

12.50/8 = 1.55

3.00/2= 1.50

youre getting 6 more pens for only 5 cents more

9514 1404 393

Answer:

  12√2

  24√2

Step-by-step explanation:

The Pythagorean theorem tells you the square of the slant length is the sum of the squares of x and the height:

  (6√11)^2 = x^2 + (6√3)^2

  x^2 = 36·11 -36·3 = 36·8 = 144·2

  x = 12√2 . . . . length of 1/2 the house

The full length of the house is double this value:

  2x = 24√2 . . . . full length of the house

Answer:

5v+4

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

Given that :

Number of balls = 8

Red (R) = 6 ; 1 green(G) ; 1 BLUE (B)

Possibilities unt a blue ball is picked :

B, RB, GB, RRB, RGB, GRB, G

Draw 1 = B = 1

Draw 2 = B = 2C1 = 2

Draw 3 = B = 3C2 = 3

Draw 4 = B = 3C3 + 3C1 = 1 + 3 = 4

Draw 5 = B = 4C4 + 4C1 = 1 + 4 = 5

Draw 6 = B = 5C5 + 5C1 = 1 + 5 = 6

Draw 7 = B = 6C6 + 6C1 = 1 + 6 = 7

Draw 8 = B = 6C6 + 6C1 = 1 + 6 = 7

Taking the sum:

(1 + 2 + 3 + 4 + 5 + 6 + 7 + 7) = 35

There are 35 elements in the sample space

Answer:

X is greater than 4.6

Step-by-step explanation:

Answer:

1 year= 12 months

Total amount= $1089

Hence the amount he need to save each month is given by

Saving=1089/12

Saving=$90.75

Step-by-step explanation:

Answer:

C x=55

Step-by-step explanation:

the angles of a trianlge add up to 180

the unmarked angle is also 35 because of the same side length

35+35=70

180-70=110

BUT 2x=110 so x=55

P.S Can I get brainlist?

Answer:

2 miles

Step-by-step explanation:

The total length of the trip is 464 miles

An equation is used to show the relationship between two or more numbers and variables.

Let x represent the total length of the journey.

Kylie fell asleep after they had travelled 306 miles and she fell asleep 34% of the way. Therefore:

(100% - 34%) of x = 306

66% of x = 306

0.66x = 306

x = 464 miles

The total length of the trip is 464 miles

Find out more on equation at:https://brainly.com/question/24868934

Answer:

4.24

Step-by-step explanation:

the calculator says otherwise (but yea its 4.24

Answer:

x < 8

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

5.) f(1) = 7, f(n) = -4※f(n-1) + 15

[tex]f(2) = - 4 \times 7 + 15 = - 13 \\ f(3) = - 4 \times ( - 13) + 15 = 67 \\ f(4) = - 4 \times 67 + 15 = - 253[/tex]

The first four terms are 7, -13, 67, -253.

7.) f(1) = 3, f(n) = [f(n-1)]²

[tex]f(2) = (3)^{2} = 9 \\ f(3) = ( {9)}^{2} = 81 \\ f(4) = ( {81)}^{2} = 6561[/tex]

The first four terms are 3, 9, 81, 6561.

Answer: I believe it's b

Step-by-step explanation:

\pi = 3.14159265...

It is most likely b

Answer:

Step-by-step explanation:

is pretty simple

292,000/100=2,920

BONJOUR asker

Answer:

2920

Step-by-step explanation:

292000 divided by 100 is 2920

#CarryOnLearning

heyoitzmeh from Philippines

you can foIlow me in my brainly in Philippines

answer:

the one described is the radius, so the diameter is 6 meters

3 X 2 = 6

-- please mark the brainliest and click the thanks button if correct :)

Answer:

6 meters

Step-by-step explanation:

The equation to find the diameter of a circle is,

radius * 2.

The radius of the swimming pool is 3, so 3 * 2 is 6.

Answer:

x = 60°

y = 60°

Step-by-step explanation:

It's an equilateral triangle, all angles are congruent.