What does n equal in 6(2n – 3) – 2(6n + 1) = 10n?.

Answer:

1) c. Use only appliances to do the most important task in the house.

2) b. 112kwh

3) b. 111kwh

Step-by-step explanation:

Energy can be defined as the ability (capacity) to do work and it's measured in Joules. The various forms of energy are solar energy, chemical energy, thermal energy, wind energy, nuclear energy, electrical energy, etc.

Power can be defined as the energy required to do work per unit time.

Mathematically, it is given by the formula;

[tex] Power = \frac {Energy}{time} [/tex]

Energy consumption is the total amount of power used by an electronic device per unit time and it's measured in Watt-hour or Kilowatt-hour.

Mathematically, it is given by the formula;

[tex] Energy = power * time [/tex]

Generally, the most economic way to lessen electric consumption is by ensuring only the important electrical appliances are used at all times.

2. Given the following data;

Previous reading = 2156 KWh

Present reading = 2268 KWh

To find how many kilowatt-hour was consumed;

Energy consumption = present reading - previous reading

Energy consumption = 2268 - 2156

Energy consumption = 112 KWh

3. Given the following data;

Previous reading = 5512 KWh

Present reading = 5623 KWh

To find the electrical consumption of Falogme Family;

Electrical consumption = present reading - previous reading

Electrical consumption = 5623 - 5512

Electrical consumption = 111 KWh

Answer:

Pretty sure its coefficient

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given Equation:

x^3- 4x^2 + 2x+ 10 = x^2 - 5x-3

which simplifies to

x^3- 5x^2 + 7x+ 13 = 0

Given one of the roots is x = 3x+2i, the conjugate is therefore x = 3-2i.

The product is real, (x-3+2i)(x-3-2i) = x^2-6x+13

The other root can therefore be obtained by long division

(x^3- 5x^2 + 7x+ 13)/(x^2-6x+13) = x+1, or x=-1

Therefore the three roots are:

{x=3-2i, x=3+2i, x=-1 }

Answer:

98 cats and 19 dogs

Step-by-step explanation:

cat = c

dog = d

The animal shelter currently has a total of 117 animals

c + d = 117

c = 117 - d

the number of cats is 3 more than 5 times the number of dogs

c = 3 + 5d

subtitute c

117 - d = 3 + 5d

117 - 3 = 5d + d

114 = 6d

6d = 114

d = 114/6 = 19

so, the cat is 117-19 = 98

Given:

The system of equations is:

[tex]-4g-15h=-17[/tex]

[tex]-g+5h=13[/tex]

To find:

The correct statement that explains the solution process.

Solution:

We have,

[tex]-4g-15h=-17[/tex]

[tex]-g+5h=13[/tex]

To eliminate the variable g, we need same coefficients of g having opposite signs.

The coefficient of g in first equation is -4 and the coefficient of g in bottom equation is -1. If we multiply the bottom equation by -4, then we get 4 as a coefficient of g.

[tex]4g-20h=-52[/tex]               [(i)×(-4)]

After that we can add both equation to eliminate the variable g and then we can solve to h.

She can multiply the bottom equation by -4 and then add the equations to solve for h.

Therefore, the correct option is A.

Answer:

Its option A

Step-by-step explanation:

Answer:

2x²√13

Step-by-step explanation:

√52x⁴ = √4×13×x⁴ = 2x²√13

Answer:

Perimeter you add up all the sides.  If it is a horizontal or vertical line, you just write those values for the side lengths.  For the slanted one, I would use pythagorean theorem to solve it.

Step-by-step explanation:

If we make a right triangle using vertical and horizontal lines. We will find that a = 6, and b = 12.  Find the square root of the sum of a squared plus b squared.  That will tell you C.  Then add C to the other 3 sides and that will give you the perimeter.

Answer:

y-4=7(x-1)

Step-by-step explanation:

y-y1=m(x-x1)

y-4=7(x-1)

The equation of the line with a slope of 7, passing through the point (1,4), in point-slope form is y = 7x - 3.

To write the equation of a line in point-slope form, we use the formula:

y - y₁ = m(x - x₁)

where m represents the slope of the line and (x₁, y₁) represents the coordinates of a point on the line.

In this case, the given slope is 7 and the point (1,4) lies on the line. Plugging in the values into the formula, we have:

y - 4 = 7(x - 1)

Simplifying the equation, we can distribute the 7:

y - 4 = 7x - 7

To isolate y, we can add 4 to both sides of the equation:

y = 7x - 7 + 4

y = 7x - 3

To learn more about point slope form click on,

https://brainly.com/question/30516997

#SPJ2

Answer:

Volume of a cone= [tex]\frac{1}{3} \pi r^{2}h[/tex]

=[tex]\frac{1}{3}[/tex]×[tex]\frac{22}{7}[/tex]×144×8

=[tex]\frac{22}{21}[/tex]×144×8

=1206.86[tex]cm^{2}[/tex]

Step-by-step explanation:

Answer:

<H = 40

Step-by-step explanation:

Complementary angles add to 90 degrees

2x+10 + x+20 = 90

Combine like terms

3x+30 = 90

Subtract 30

3x+30 -30 = 90-30

3x = 60

Divide by 3

3x/3 = 60/3

x = 20

<H = x+20 = 20+20 = 40

Answer:

(-2,5)

Step-by-step explanation:

When a point is rotated  counterclockwise 90 degrees about the origin then the coordinates of the image will be (x,y) → (-y,x).

Here, (5,2)→(-2,5)

Therefore , if (5,2) is rotated counterclockwise 90 degrees about the origin its image will be point (-2,5).

Hence, if (5,2) is rotated counterclockwise 90 degrees about the origin its image will be point (-2,5).

if this helped you can you slide a Brainliest :)

Answer:

Step-by-step explanation:

360/2=180

5x+4x=180

9x=180

x=20

5×20:4×20

100:80

Answer:

15.6km

Step-by-step explanation:

Given the map scale 1:200000

1cm on the map represents 200000 cm on ground or in actual distance

Hence, if distance from Belfast to Larne is 7.8vm on map ;

Actual distance will be :

7.8 * 200000 = 1560000 cm

Converting to km :

Recall :

1000 m = 1km

100 cm = 1 m

Hence,

100000 cm = 1km

Therefore, (1560000 / 100000) km

= 15.6km

Hence, distance between Belfast and Larne is 15.6km

Answer:

D.$.137.50

Step-by-step explanation:

$137.50*2=275.00+60=335

Answer: D

Step-by-step explanation:

335-60 = 275/2 = 137.5

Answer:

1. Melissa and Corey started on different trails.

2. Melissa hiked up the trail for a longer period of time than Corey.

3. Melissa and Corey crossed paths between 60 and 90 minutes.

4. Corey began his descent before Melissa.

Step-by-step explanation:

A. Melissa and Corey started on different trails. - TRUE

Rationale: at the start, when t = 0, Melissa hiking trail elevation was 8,342 ft while that of Corey was 10,004 ft. Therefore, they started on different trails.

B. Melissa hiked up the trail for a longer period of time than Corey. - TRUE

Rationale: It took Melissa 90 mins to reach the highest elevation of 12,921 while it took just 60 mins for Corey to teach same elevation height at 60 mins

C. Melissa and Corey crossed paths between 60 and 90 minutes. - TRUE

Rationale: As Melissa was still ascending between 60 - 90 mins from 11,239 to 12,921, Corey was descending at the same time . So their path crossed.

D. Corey began his descent before Melissa. - TRUE

Rationale: Corey started descending earlier at 60 mins before Melissa

E. As Melissa’s time increased from 0 to 60 minutes, her elevation decreased. - FALSE

Rationale: as Melissa's time increased from 0 to 60 mins, her elevation increased also from 8,342 ft to 11,239 ft.

Answer:

A) Melissa and Corey started on different trails.

B) Melissa hiked up the trail for a longer period of time than Corey.

D) Corey began his descent before Melissa.

Step-by-step explanation:

I got it right on Edge :D

Answer:

a) Martín recorrió más distancia, b) A Samuel, Martín y Santiago les falta 7.05, 7.55 y 7.883 kilómetros, respectivamente, c) La distancia recorrida promedio es 21.889 kilómetros, d) Martín recorrió 0.333 kilómetros más que Santiago.

Step-by-step explanation:

a) En primer lugar, convertimos la distancia recorrida por cada persona a su forma decimal:

Samuel

[tex]\frac{178}{8}\,km = 22.25\,km[/tex]

Martin

[tex]21\,km + \frac{3}{4}\,km = 21.75\,km[/tex]

Santiago

[tex]21\,km + \frac{5}{12}\,km = 21.417\,km[/tex]

Como puede apreciarse, Martín recorrió más distancia.

b) La distancia faltante es igual a la sustracción de la distancia recorrida por la persona a la distancia total:

Samuel

[tex]x = 29.3\,km -22.25\,km[/tex]

[tex]x = 7.05\,km[/tex]

Martin

[tex]x = 29.3\,km - 21.75\,km[/tex]

[tex]x = 7.55\,cm[/tex]

Santiago

[tex]x = 29.3\,km - 21.417\,km[/tex]

[tex]x = 7.883\,km[/tex]

A Samuel, Martín y Santiago les falta 7.05, 7.55 y 7.883 kilómetros, respectivamente.

c) La distancia recorrida promedio se obtiene sumando las distancias recorridas de las tres personas y dividiendo el resultado por la cantidad de personas:

[tex]\bar{x} = \frac{22.5\,km + 21.75\,km + 21.417\,km}{3}[/tex]

[tex]\bar x = 21.889\,km[/tex]

La distancia recorrida promedio es 21.889 kilómetros.

d) Esta diferencia se encuentra a restar la distancia recorrida por Santiago a la distancia recorrida por Martín:

[tex]x = 21.75\,km - 21.417\,km[/tex]

[tex]x = 0.333\,km[/tex]

Martín recorrió 0.333 kilómetros más que Santiago.

Answer

math       way search it

Step-by-step explanation:

Answer:

the slope is 2.5

(from x=0 to x=2 it goes up by 5)

-2 is the intercept with the y-Axis

the general formula is:

y = m*x + b

where m is the slope and b the intercept

here you go:

y = 2.5x -2

pls brainliest

Answer:

16 flower pots

Step-by-step explanation:

Length of path = 12 m long

Flower pot is placed every 3/4 m along the path ;

Number of flower pots required = (length of path / length of distance placed)

Number of flower pots required = 12 ÷ 3/4

12 * 4/3 = (12 * 4) / 3 = 48 / 3 = 16 flower pots

Answer:

16 flower pots

Step-by-step explanation:

1) x= 2, -4/3

2) x= 7, -4

i hope this is what you were asking

Answer:

What's my age im 1300

Step-by-step explanation:

Answer:

The sides are of lengths 10, 18, 20

Step-by-step explanation:

Perimeter = 48

Lengths of the sides

5:9:10 * (48/(5+9+10)  = 5:9:10 * (48/24) = 10:18:20

The sides are of lengths 10, 18, 20

Answer:

c

Step-by-step explanation:

Answer:

[tex]c=13feet[/tex]

Step-by-step explanation:

[tex]c^{2} =a^{2} +b^{2}[/tex]

[tex]c^{2} =5^{2} +12^{2}[/tex]

[tex]c^{2} =25+144[/tex]

[tex]c^{2} =169[/tex]

[tex]c=\sqrt{169}[/tex]

[tex]c=13feet[/tex]

Hope this helps,

Have a great day ahead :)

Answer:

D

Hope that this helps!

Answer:

end -8 and move -3 . start at -8 and move -3

Answer:

40 months

Step-by-step explanation:

It will take Vanessa 40 months or 3 years and 4 months to repay the bank their loan amount(without interest ofc).

Answer:

Time = 42 months

Step-by-step explanation:

[tex]Monthly \ payment = [rate + \frac{rate}{(1 + rate)^{month}-1}] \times principal[/tex]

Monthly payment = 300

Principal = 12000

[tex]Rate \% = \frac{300}{12000} \times 100 = \frac{30}{12} = \frac{5}{2} = 2.5[/tex]

Substituting and solving Months = 42 months

Answer:

Please find the complete question in the attached file.

Step-by-step explanation:

For question 1:

[tex]\to 5^{-3}=\frac{1}{5^3}=\frac{1}{5\times 5 \times 5}= \frac{1}{125}\\\\[/tex]

For question 2:

[tex]\to -5^{-3}=-\frac{1}{5^3}=-\frac{1}{5\times 5 \times 5}= -\frac{1}{125}\\\\[/tex]

For question 3:

[tex]\to -(5^{-3})^{-1}=-(\frac{1}{5^3})^{-1}=-(5 \times 5 \times 5)= -125\\\\[/tex]

For question 4:

[tex]\to -(5^{-3})^{0}=-(\frac{1}{5^3})^{0}=-(\frac{1}{5 \times 5 \times 5})^0= (-\frac{1}{125})^0=1\\\\[/tex]

This is the answer

To the question

Answer:

16022 square foot

Step-by-step explanation:

The world's largest cookie was baked in North Carolina in 2003. Its diameter was 100 feet and it contained about 6,000 pounds of chocolate chips! If the cookie was a cylinder 1 foot tall, and you wanted to cover it with icing, how many square inches would you have to ice? Use 3.14 for .

We find the surface area of the cylinder

= 2πr(r + h)

r = Diameter /2 = 100 feet/2

r = 50 feet

h = 1 feet

Hence

2 × 3.14 × 50(50 + 1)

= 16022.122533 square foot

= 16022 square foot

Answer:

400

Step-by-step explanation:

(8*11*4)+(2*8*3)=400

^you find volume of each and then add together

pls mark brainliest :)

Answer:

400 cubic centimeters

Step-by-step explanation:

First box:

11(4)(8) = 352

Second box:

2(8)(3) = 48

352 + 48 = 400 cubic cm

Answer:

53/100

Step-by-step explanation:

First, we convert the fraction to a decimal number by dividing the numerator by the denominator:

8 / 15 = 0.533

There are two parts to the decimal number above:

Integer Part: 0

Fractional Part: 533

Now, we will make the Fractional Part just two digits (nearest hundredth) by using our rounding rules.*

In this case, Rule I applies, so 8/15 (or 0.533) rounded to the nearest hundredth in decimal format is:

0.53

Next, we will make 8/15 rounded to the nearest hundredth in fraction format. Since you can divide our decimal format answer above by 1 and keep the same value, you can make it like this:

0.53 = 0.53/1

Then, we multiply the numerator and denominator by 100 to get rid of the decimal point:

(0.53 x 100) / (1 x 100) = 53/100

That's it. 8/15 rounded to the nearest hundredth is displayed below (simplified if necessary):

53/100

Answer:

53.33% is the correct answer