The net of a cube is shown below. If the surface area of the net is 294 in^2 , then what is the length of each side of the cube?

Answer:

17

Step-by-step explanation:

We have the following equation for compounding annual interest

AV=PV(1+i)ⁿ

We have

19200=7400(1+.06)ⁿ

Solve for n

divide both sides by 7400

2.594=(1.06)ⁿ

then use the following rule for exponents

[tex]x^y=z\\log_xz=y[/tex]

which means that

[tex]log_{1.06}2.594=n[/tex]

Solve and get

16.362

which rounds to 17

Answer:

26

Step-by-step explanation:

Each term is the previous with 4 added to it.

a1 = 10, a2 = 14, a3 = 18, a4 = 22, a5 = 26

The value of [tex]a_{5}[/tex] will be equal to 26 .

It is given that [tex]a_{1}[/tex]= 10 and [tex]a_{n} = a_{n-1} + 4[/tex].

We have to find the value of [tex]a_{5}[/tex].

What do you mean by sequences ?

Sequences are a list of numbers which are arranged in a special manner i.e., 2 , 4 , 6 , 8 numbers of this sequence gets increased by 2 every time.

As per the question ;

The first term ;  [tex]a_{1}[/tex]= 10

and given ;

[tex]a_{n} = a_{n-1} + 4[/tex]

So ;

2nd term will be ;

[tex]a_{2} = a_{1} + 4[/tex]

[tex]a_{2}[/tex] = 10 + 4

or

[tex]a_{2}[/tex] = 14

Now ;

3rd term will be ;

[tex]a_{3} = a_{2} + 4[/tex]

[tex]a_{3} = 14 + 4[/tex]

[tex]a_{3}[/tex] = 18  

Hence , the common difference is d = 4.

So ;

4th term will be ;

[tex]a_{4}[/tex] = 18 + 4

[tex]a_{4}[/tex] = 22

and

5th term will be ;

[tex]a_{5}[/tex] = 22 + 4

[tex]a_{5}[/tex] = 26

Thus , the value of [tex]a_{5}[/tex] will be equal to 26 .

To learn more about sequences click here ;

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[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the integers.

===> -4-7

===> -(4+7)

===> -(11)

====> -11

====> -11 is the answer

Answer:

-11

Step-by-step explanation:

-4 - 7 = -11

  subtracting from negatives is like adding

 4 + 7 = 11    you just add the negative sign at in front of your answer

             -11

Answer:

it is a linear graph ‍♂u think that at what distans he do read page in a hour

Answer:

10/10 = 1

x2/x2 = 1

x3/x3 = 1

10 raise to power 4/ 10 raise to power 2 = 10 raise to power 2

5  raise to power 5/ 5 raise to power4 = 5

x  raise to power 7/ x raise to power 5 = x  raise to power2

Step-by-step explanation:

I hope this helps a little bit.

Answer:

this is pythagorus theorem

the height is 7,2

the distance is d

d^2 = 5^2 + 4^2

hope this helps

Answer:6x - (6xa)/(7)

Step-by-step explanation:

Answer:452

Step-by-step explanation:

V = π r^2 h

= 3.14 * 3^2 * 16

= 3.14 * 9 * 16

= 452.16

Answer:

-5x^5 + 2x^3 - 6x should be your answer

Answer:

p= 8250

r=7.25

t= 3 years

p×r×t

figure out the rest

Answer:

Step-by-step explanation:

Formula for volume of a circle: V=πr²

If you multiply the circle by height, it becomes a cylinder.

Formula for volume of a cylinder: V=πr²h

Plug in the numbers and get r by itself:

471 = πr²(6)

Divide both sides by 6:

78.5 = πr²

Divide both sides by π:

25 = r²

Square root both sides:

[tex]\sqrt{25}[/tex] = [tex]\sqrt{r} \\[/tex]²

5 = r

Radius is 5 cm

Answer:

16. x = 16

17. x = 11

Step-by-step explanation

15.

a. 58* Angle 2 = Angle 4 Angle 1 + Angle 2 = 180*

b. 58* Angle 3 + Angle 4 = 180*

c. 58* Angle 1 = Angle 6

d. 58* Angle 6 = Angle 8

e. 122* Angle 4 = Angle 2

f. 122* Angle 4 = Angle 5

g. 122* Angle 5 = Angle 7

16. Alternate Interior angles. They're equal.

10x - 29 = 8x + 3

2x = 32

Divide by 2 to isolate x

x = 16

double check by putting 16 in for x to see if original statement is true

10 (16) - 29 = 8 (16) + 3

160 - 29 = 128 +3

131 = 131

17. Consecutive interior angles. They equal 180*

13x - 26 + 5x + 8 = 180

18x - 18 = 180

18x = 198

Divide by 18 to isolate x

x = 11

Double check

13 (11) - 26 + 5 (11) + 8 = 180

143 - 26 + 55 + 8 = 180

180 = 180

Answer:

238.40

Step-by-step explanation:

you need to use "PRT"( Principal× Rate×time) but since it doesn't give us the time, we'll be only doing principal×rate. just multiply 596 and 40% And don't forget to put the percent sign bc it would change the price!! and I hope that helps u

Answer:

x=-2

Step-by-step explanation:

add 18 to both sides, simplify, add 6x to both sides, simplify, divide both sides by -12.then simplify again... I hope that helps...

Answer: 11.78

Step-by-step explanation: You have to minus 36 by the cost of the hat and sunglasses.

Answer:

11.78

Step-by-step explanation:

Lacery has 36 dollars so she only has 36

she buy a pair of sunglasses for 14.89    14.89

ans buys a hat for 9.33                  

add 9.33 and 14.89 which u get 24.22

36.00

 minus

24.22 equals 11.78

Answer:

x=8 and y=53

Step-by-step explanation:

Given function:

Find x:

y is:

Therefore, x=8 and y=53..

Answer:

x+90

90/6=15

15=15

Step-by-step explanation:

Answer:

The slope is 2/1 or 2, my amigo

Answer:

-14.1

Step-by-step explanation:

well I dont feel like explaining just go there

Answer:

Follow the lines

Step-by-step explanation:

Follow what the lines go with what the table has.

To make this really easy, find the slope of the line

To do this you find an easy point.

Ex. x=3 and y= 150

then take it into a slope y-intersept formula

y= mx

150= 3x

50 = x

so for every time x goes up one interval, y increases at a rate of 50.

And for y, do the opposite, for every 50 y, x goes up 1.

By following this linear path, you should really beable to solve the graph on the right. (If you need to, use a calculator for dividing the y numbers by 50 to get x)

y= 50x is ur slope/formula

(Ill leave the rest for you to answer with this data above ;) )

Hope This Helps :)

Answer:

Look at the names of the prisms above. Each type of prism is named after its base. In the figure on the left, the base is a rectangle, so it is called a rectangular prism. In the middle, the base is a triangle, so the shape is a triangular prism.

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

1/6 + 4/6 + 8/6 = 13/6 = 2 1/6

Answer:MARK ME AS BRAINLIEST

MEGA Drink = $10+2x

LARGE Drink = 2x

MEDIUM Drink = x

hence, we conclude that

($10+2x) + 2x + x = $45

$10+2x + 2x + x =$ 45

5x + $10 = $45

5x = $45-$10

5x = $35

x = 35÷5

x = 7

MEGA DRINK = (10+2X)

10+2×7

10+14

24

LARGE DRINK = 2X

2×7 = 14

MEDIUM DRINK = X

7

Answer:

Step-by-step explanation:

Domain: all real numbers

Range: y<0

i think this is right, sorry if it is wrong

Answer:

Step-by-step explanation:

Two similar triangles.

10/26 = y/13

y = 5

x² = 13² - y² = 144

x = 12

Answer:

Step-by-step explanation:

2y - 6 + y = 180   {Co-interior angles}

3y - 6   = 180

      3y = 180 + 6

     3y = 186

       y = 186/3

       y = 62

y + w = 180     {Linear pair}

62 +w = 180

       w = 180 - 62

        w = 118

ΔILK ,

∠L +  ∠ I + ∠K = 180  {Angle sum property of triangle}

w + z + 30 = 180

118 + z + 30 = 180

     z +  148  = 180

               z =180-  148

                z = 32

x = z    {Alternate interior angles}

x = 32

Answer:

y = -5x - 5

Step-by-step explanation:

Given the standard form of an equation as y=mx+c

m is the slope

c is the intercept

Using the coordinate points

(1, 0) and (0,-5)

m = -5-0/0+1

m = -5/1

m = -5

Get the intercept

Intercept is the point where thee line cuts the y axis. intercept is -5

Get the equation:

Recall that y = mx+c

y = -5x + -5

y = -5x - 5

This gives the required equation

Answer:

HERE

Step-by-step explanation: