How many unit cubes need to be added to the figure so that it will have a total
volume of 12 cubic units?

Answer: The three consecutive even numbers are 22, 24, 26

22+24+26 = 72

========================================================

Explanation:

For example, if x = 12, then we'd have x+2 = 12+2 = 14 and x+4 = 14+4 = 18.

However 12+14+18 = 44 is not 72 like we want.

You can guess-and-check your way to the answer, but a faster efficient route is to use algebra. Add up those x expressions and set the sum equal to 72 and solve.

(first) + (second) + (third) = 72

(x) + (x+2) + (x+4) = 72

3x+6 = 72

3x = 72-6

3x = 66

x = 66/3

x = 22

So we have,

As a check: 22+24+26 = 72 which verifies the answers.

Answer:

[tex]\frac{3}{13}[/tex]

Step-by-step explanation:

First you need to find how many marbles there are in total, so 3+8+2= 13

The probability of the marble being red is [tex]\frac{3}{13}[/tex] then

Hope this helps! :)

Answer:

x=3/2

Decimal Form:

x=1.5

Mixed Number Form:

x=1-1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

1.  total volume of box=2.5(V)D

2. 7 Drawers

Step-by-step explanation:

2.5 = V

so 1 draw = 2.5 cubic inches of volume

so V(2.5) × D(number of drawers) = total volume of drawers in the box

Answer:

Area = x4 + 4x3 + 3x2 - 4x - 4

Length = x3 +5x2 + 8x + 4

Width = Area / Length.

Performing long division with polynomial.

x4 + 4x3 + 3x2 - 4x - 4 / x3 + 5x2 + 8x + 4 = x-1

Width = x-1

Step-by-step explanation:

The value of the width of the rectangle is,

⇒ (x - 1)

We have to given that;

In a rectangle;

Area = x⁴ + 4x³ + 3x² - 4x - 4

Length = x³ +5x² + 8x + 4

We know that;

Width = Area / Length.

Hence, Performing long division with polynomial.

Width = x⁴ + 4x³ + 3x² - 4x - 4 / x³ +5x² + 8x + 4

         = x - 1

Thus, The value of the width of the rectangle is,

⇒ (x - 1)

Learn more about the rectangle visit:

https://brainly.com/question/2607596

#SPJ7

Answer:

Step-by-step explanation:

the answer should be 15t times 2.

Answer:

anser is 60$

Step-by-step explanation:

15*2 = 30 (total without donor)

donor is multiplying what the earned my 2 so 30*2+60

Answer:

Step-by-step explanation:

Solving

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textbf{GUIDE to remember: }[/tex]

[tex]\bullet\large\textsf{\ 2 negatives = \bf positive}\\\bullet\large\textsf{2 positives = \bf positive}\\\bullet\large\textsf{1 negative \& 1 positive = \bf negative}\\\bullet\large\textsf{1 positive \& 1 negative = \bf negative}\\\\\large\boxed{Since, your\ equation\ contains\ 1 \ negative\ \& \ 1\ positive, your \ result}\\\large\boxed{will \ most \ likely \ be \ a \ \huge\boxed{{negative}}}\large\checkmark[/tex]

[tex]\large\boxed{\rm{EQUATION: -0.056 + 0.27}}[/tex]
[tex]\large\text{SOLVING FOR THE EQUATION PROVIDED ABOVE}\uparrow \\\\\large\text{Start at \boxed{\rm{-0.056}} and \underline{go \bold{up}} \boxed{\rm{0.27}} \underline{\underline{spaces to the right}} side of}\\\large\text{the number line.}[/tex]

[tex]\large\text{You should have landed/stopped on \boxed{\rm{0.214}}}[/tex]

[tex]\huge\textbf{Therefore, your answer should be \boxed{\mathsf{0.214}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

78 960 miles

Step-by-step explanation:

136640 m / 17.08 hr = 8000 m/hr

8000 m/hr  * 9.87 hr  = 78 960 miles

Answer:

-372

Step-by-step explanation:

-305 -7 + (-42) -18

-312 + (-42) -18

-312 - 42 - 18

-354 - 18

-372

The functions f(x) = log(x) and f(x) = log(x - h) + k are logarithmic functions

The functions are given as:

f(x) = log(x)

f(x) = log(x - h) + k

From the graph of both functions, we have the following highlights:

Read more about logarithmic functions at:

https://brainly.com/question/1695836

Answer:

horizontal shift to the right,

horizontal shift to the left,

vertical shift up,

vertical shift down.

Step-by-step explanation:

Answer:

40 ounces.

Step-by-step explanation:

Simply multiple 2 1/2 pounds with 16 in order to find how many ounces the lion cub weighs.

2.5 * 16 = 40

Therefor, the lion cub weighs 40 ounces.

Answer:

22.95 in  =   ~~ 23 inches

Step-by-step explanation:

16 + 9 = 25

9/16 =  x/20      shows x = 11.25   in      is height

diagonal  ( via pyhtag theorem)

=   sqrt ( 20^2 + 11.25^2 ) = 22.95 inches  

Answer:

158962.5

Step-by-step explanation:

it is already round to the tenth ,but if you are talking about rounding to the neartest whole number is it 158963

sorry if i am wrong :) have a nice day

As with simple linear regression, we desire the residuals to:

It should be noted that a simple linear regression simply means a model that describes the relationship between a dependent variable and an independent variable.

In this case, as with simple linear regression, we desire the residuals to have constant variance and have a mean close to 0.

Learn more about regression on:

https://brainly.com/question/25987747

Answer:

1. [tex]y = 4 * 2^x^+^1[/tex]

4. [tex]y = 2^x^+^3[/tex]

Step-by-step explanation:

First one:

[tex]y = 4 * 2^x^+^1\\y = 4 * 2^x * 2^1\\y = 8 * 2^x[/tex]

Fourth one:

[tex]y = 2^x^+^3\\y = 2^x + 2^3\\y = 8 * 2^x[/tex]

Answer:

Step-by-step explanation:

going by the assumption tha the radius is 10inches.

area would be pi r^2

which would be pi(10)^2 = 100pi =314.16 (rounded)

Answer:

2s + 30 = 2s

Step-by-step explanation:

Time up hill + time down hill = total time

:

Multiply equation by 30s; results

2s + 30 = 2s

:

Answer:

Step-by-step explanation:

x²-2x-48 = (x²-2x +1) - 1 - 48

              = (x - 1)² - 49

Then

The vertex is (1 , - 49)

==================

x²-2x-48 = 0

⇔ (x - 1)² - 49 = 0

⇔ (x - 1)² = 49

⇔ x - 1 = 7 or x - 1 = -7

⇔ x = 8 or x = -6

Then

intercepts: x = 8,-6

Answer:

17hrs (a little more)

Step-by-step explanation:

The tank is 1500 gallon capacity, it already contains 200 gallons.

1500-200=1300

Now, you have to figure how many hrs it will take at 75 gallons / hr to reach the additional 1300 gallons.

1300÷75= 17.33

It says full, but not overflowing. So I would say around 17hrs

Answer:

k = -3

Step-by-step explanation:

Given

Solving

[tex]\\ \rm\Rrightarrow \sum^{15}_{n=1}2n-1[/tex]

[tex]\\ \rm\Rrightarrow 2(1)-1+2(2)-1\dots+2(15)-1[/tex]

[tex]\\ \rm\Rrightarrow 1,3,5\dots 29[/tex]

Sum of first 15 odd nos

Answer:

So what? Please tell the full question

Answer:

19). V = 381.51 cubic inches

20) The cylindrical box has a greater volume so Lin would prefer getting it.

Step-by-step explanation:

Assuming that the plastic bag filled with water was shaped like a sphere (bc there's not enough context to make it anything other than a sphere), the solution lies within an equation:

V = 4/3πr^3

This is the equation for finding the volume of sphere.

Hint: diameter = radius/2

V = 4/3π(4.5)^3

V = 4/3π(91.125)

V = 4.19(91.125)

V = 381.51 cubic inches

______________________________________________________

Equation of a rectangular prism: V = L * W * H

Equation of cylinder: V = πr^2h

Rectangle box:

V = 12 * 9 * 10

V = 120 * 9

V = 1080

Cylinder box:

V = π5^2(14)

V = π(25)(14)

V = 350 * 3.14

V = 1099

1080 < 1099