Heating and cooling bills will be about ​% less than in a similar​ wood-framed building in upstate New York. An ICF home will be approximately ​% more expensive to construct than a​ wood-framed home. For a typical ft home costing ​$ ft to construct in upstate New York and costing ​$ per month to heat and​ cool, how many months does it take for a ft ICF home to pay back its extra construction​ cost?

Hi!

So, to "half" a number, you multiply it by 1/2 or 0.5

"A number" is a number which we don't know the value of, so we could use a variable. Any letter you want is fine, but let's use x

"Decrease by 12" This simply means to subtract 12, so - 12

So, now we have:

1/2x - 12

Answer:

3/8

Step-by-step explanation:

Your need to change the 1/4 to eighths

so multiply it by 2

1/4 x 2/2

which equals 2/8

then you need to subtract it from the 5/8

5/8 - 2/8 = 3/8

Answer:

11 1/4

Step-by-step explanation:

ANSWER= 11 1/4 is your answer

Step-by-step explanation:

Answer:

2n + 18.....

Step-by-step explanation:

yea

Answer:

1. The mistake was the sign that was put negative instead of positive.

2. y = 4

Step-by-step explanation:

​In the first response box, enter the number of the step where the mistake is made.

​Step:

The mistake is on step 1: This is the distributive property, however it was distrubuted wrong since the signs were used wrong.

-4(6-y)+4=-4 does not equal  -24-4y+4=-4

The reason is because -4 x -y is not equal to -4y because negative x negative = positive. So, it's equal to +4y.

In the second response box, enter the correct solution to the problem.​

Problem: -4(6-y)+4=-4

Step 1: -24 + 4y + 4 = -4 (Distributive Property Of Equality)

Step 2: -20 + 4y = -4 (Combine Like Terms)

Step 3: 4y = 16 (Addition Property Of Equality)

Step 4: y = 4 (Division Property Of Equality)

Answer:

13 will the answer of this qn

Answer:

7.5

Step-by-step explanation:

[tex]\frac{6}{8} =\frac{x}{10}\\crossmultiply\\60=8x\\solvefor x\\ x=7.5[/tex]

Similar triangles are those triangles whose corresponding sides are in the same ratio. In the two similar triangles, the value of x is 7.5 units.

Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same. It is denoted by the ‘~’ symbol.

Given that the two of the given triangles are similar triangles. Therefore, the ratio of the sides of the triangle can be written as,

6/x = 8/10

Solving the ratio for x,

x = (6×10)/8

x = 60/8

x = 7.5 units

Hence, in the two similar triangles, the value of x is 7.5 units.

Learn more about Similar Triangles here:

https://brainly.com/question/25882965

#SPJ2

Answer:

∠J=85°

Step-by-step explanation:

Theory to know when answering this question:

1. The sum of the angles in a quadrilateral (shape with four sides) is 360°

2. Similar shapes have the same angles

Point 1 tells us that ∠P+∠Q+∠S+∠R=360

Point 2 tells us that ∠F=∠P, ∠G=∠Q, ∠J=∠S, and ∠H=∠R.

∴∠F+∠Q+∠J+∠R=360

109+122+∠J+44=360

∠J=360-275=85°

Answer:

−t+24

Step-by-step explanation:

b=48

c=137

enjoy :) ....

Answer:

pretty sure it's 9.

Step-by-step explanation:

square root of 81 is 9. 3 is its radius.

Answer:

the slope or gradient of a line is a number that describes both the direction and the steepness of the line. ... Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.

Step-by-step explanation:

You didn't put a picture, so I didn't know if you meant what it means, or from a line?

Answer:

4,000

Step-by-step explanation:

Answer:

I'm currently having the same lesson.

Exponential form:

5⁶ = 15,625

The number next to the "log" symbol is the base, which is positioned down. Next to the base of the exponent is the result of the exponent.

The number after the equal sign is the exponent.

Check the image for better clarification.

Step-by-step explanation:

Answer: [tex]5^{6} =15625[/tex]

Step-by-step explanation:  

Answer:

Nut

Step-by-step explanation:

Answer:

A because there isnt a mode, hope this helps\

Step-by-step explanation:

a) If the given set of vectors does not span [tex]\mathbb{R}^{3}[/tex] , it means the number of linearly independent vectors are less than 3. So by adding one or more linearly independent vectors with respect to existing vectors, we can convert the set to basis and basis always spans vector space.

eg. [tex]S= \left \{ (1,0,0)^{T},(1,2,0)^{T} \right \}[/tex] this set does not span [tex]\mathbb{R}^{3}[/tex] . Since it has only two vectors and both vectors are linearly independent, so adding one linearly independent vector with respect to the vectors of S viz. (0,0,1)^{T} can span whole [tex]\mathbb{R}^{3} [/tex].

b) It is not possible. Since if a set of vectors is linearly dependent then after adding linearly independent vectors it will also linearly dependent i.e. addition of a linearly independent vector does not effect on the set.

Answer:

B

Step-by-step explanation:

Answer:

0.000174

3.5841 x 10^7

4.67  x 10^6

Step-by-step explanation:

1.74 x 10^-4 as an ordinary number

As an ordinary number, the decimal point will be moved 4 times to the left due to the negative power

Hence 1.74 x 10^-4 as an ordinary number

= 0.000174

358.41 x 10^5 in a standard form

In standard form, only one number will be before the decimal point, the number of times the decimal point is moved (to ensure that only the first digit is before the point) is added to the power of ten. Hence

358.41 x 10^5 in a standard form

= 3.5841 x 10^5+2

= 3.5841 x 10^7

4 670 000 in a standard form

As done above, only one digit will be before the decimal

4 670 000 in a standard form

= 4.67  x 10^6

Explanation:

Time progresses without any control over it, so it's something that does not depend on any other factor such as distance. On the other hand, as the time value changes, the distance changes. So the distance is dependent on the time.

The horizontal axis is the x axis, and the x value is always the independent variable. The vertical y axis is the distance. The y value is always the dependent variable.

If Y = 5 and the X is = 1 then Y = 125 is X = 25

Answer:

66.4°

Step-by-step explanation:

From the question given above, the following data were obtained:

Adjacent = 6 cm

Hypothenus = 15 cm

Angle Y =?

Angle Y can be obtained by using the cosine ratio as illustrated below:

Cos Y = Adjacent / Hypothenus

Cos Y = 6/15

Cos Y = 0.4

Take the inverse of Cos

Y = Cos¯¹ 0.4

Y = 66.4°

Therefore, angle XYZ is 66.4°

Answer:

it's b

Step-by-step explanation:

literally twelve minus m

Answer:

B

Step-by-step explanation:

12 minus m is, 12 - m

Answer:

The time required to get  a total amount of $ 640.00  from compound interest on a principal of $ 440.00  at an interest rate of 5.6% per year  and compounded 365 times per year  is approximately 7 years.

Step-by-step explanation:

Given

To determine:

Time period t = ?

Using the formula

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]

solving for t

t = ln(A/P) / n[ln(1 + r/n)]

substituting the values A = 640, P = 440, n = 365 and r = 0.056

t = ln(640/440) / ( 365 × [ln(1 + 0.00015342465753425/365)] )

t = 6.691

t ≈ 7  (nearest year)

Therefore, the time required to get  a total amount of $ 640.00  from compound interest on a principal of $ 440.00  at an interest rate of 5.6% per year  and compounded 365 times per year  is approximately 7 years.

Answer:

67 gallons.

Step-by-step explanation:

To determine how many gallons of a 70% antifreeze solution must be mixed with 90 gallons of 15% antifreeze to get a mixture that is 60% antifreeze, the following calculation must be performed:

0.15 x 90 + 0.70 x 10 = 20.5 / 100 = 0.20

0.15 x 90 + 0.70 x 30 = 34.5 / 100 = 0.34

0.15 x 90 + 0.70 x 60 = 55.5 / 100 = 0.55

0.15 x 90 + 0.70 x 67 = 60.4 / 100 = 0.60

Thus, 67 gallons of 70% antifreeze solution will be needed to achieve a 60% mix of that solution.

Answer: the bridge is 11.025 m high

Step-by-step explanation:

Given that;

Time taken to hit the water t = 1.5 sec

height of bridge = ?

lets take a look at the equation of motion;

y(t) = y₀ + (1/2)at²

with initial velocity zero and we know that acceleration due to gravidity is 9.8m/s

we substitute

y(t) = (1/2)gt² = (1/2) × 9.8 × (1.5)²

y(t) = (1/2)gt² = (1/2) × 9.8 × (1.5)²

y(1.5) = 11.025 m

Therefore, the bridge is 11.025 m high