Daniel is making a cube using blocks. The cube is solid and has no holes.How many cubes did Daniel use?



A.
81

B.
243

C.
486

D.
729

Answers

Answer 1
Answer: This answer uses NMF, which can be found out about in my profile:

We know that the length has to equal the width and height. This means that the amount of cubes used in total has to be the cube (power of 3) of the side length.

The answer is
floor#({3}√{x}) = {3}√{x}
where x is your possible answers and the statement is true.

If we do x = 81, then we can do
{3}√{81} ≈ 4.33
floor#(4.33) ≠ 4.33
therefore the answer is not 81

x = 243:
{3}√{243} ≈ 6.24
floor#(6.24) ≠ 6.24

x = 486:
{3}√{486} ≈7.86
floor#(7.86) ≠ 7.86

x = 729:
{3}√{729} = 9
floor#(9) = 9
Because they are equal, the number of cubes used is 729.

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Show work please I need help with both questions 3 and 5 thanks

Answers

Answer:

B) {8.71}

Step-by-step explanation:

3. l.c.m=28

28×3/7=28×b-7/4

4×3=7(b-7)

12=7b-49

12+49=7b

61=7b

61/7=7b/7

8.71=b

b=8.71.

What mathematical operation applies (addition, subtraction, multiplication or division) and write your equation in the box below.

Answers

Equation. This word may fit your definition of a set of values or numbers –intergers- coupled with basic operations. Equation is mathematical form of body where there are two adjacent corners which aims as the word says, equation. Take for instance in illustration 2x + 5x = 7x. 

The graph of y=√x is shifted 2 units up and 5 units left, Which equation represents the new graph?A. y=-√x+5) +2

B. y=-√x-2) +5

C. y=-√x+2) -5

D. y=-√x-5) +2

Answers

y = √(x + 5) + 2

Further explanation

Given:

The graph of y = √(x) is

  • shifted 2 units up, and
  • 5 units left.

Question:

Which equation represents the new graph?

The Process:

The translation is a form of transformation geometry.

Translation (or shifting): moving a graph on an analytic plane without changing its shape.

In general, given the graph of y = f(x) and v > 0, we obtain the graph of:  

  • \boxed{ \ y = f(x) + v \ } by shifting the graph of \boxed{ \ y = f(x) \ } upward v units.  
  • \boxed{ \ y = f(x) - v \ } by shifting the graph of \boxed{ \ y = f(x) \ } downward v units.  

That's the vertical shift, nowthe horizontal one. Given the graph of y = f(x) and h > 0, we obtain the graph of:  

  • \boxed{ \ y = f(x + h) \ } by shifting the graph of \boxed{ \ y = f(x) \ } to the left h units.  
  • \boxed{ \ y = f(x - h) \ } by shifting the graph of \boxed{ \ y = f(x) \ } to the right h units.

Therefore, the combination of vertical and horizontal shifts is as follows:  

\boxed{\boxed{ \ y = f(x \pm h) \pm v \ }}  

The plus or minus sign follows the direction of the shift, i.e., up-down or left-right.

- - - - - - - - - -

Let's solve the problem.

Initially, the graph of y = √(x) is shifted 2 units up.

\boxed{y = √(x) \rightarrow is \ shifted \ 2 \ units \ up \rightarrow \boxed{ \ y = √(x) + 2 \ }}

Followed by shifting 5 units left.

\boxed{y = √(x) + 2 \rightarrow is \ shifted \ 5 \ units \ left \rightarrow \boxed{ \ y = √(x + 5) + 2 \ }}

Thus, the equation that represents the new graph is\boxed{\boxed{ \ y = √(x + 5) + 2 \ }}

The answer is A.

Learn more

  1. Which phrase best describes the translation from the graph y = 2(x – 15)² + 3 to the graph of y = 2(x – 11)² + 3? brainly.com/question/1369568
  2. The similar problem of shifting brainly.com/question/2488474  
  3. What transformations change the graph of (f)x to the graph of g(x)? brainly.com/question/2415963

Keywords: the graph of, y = √x, shifted 2 units up, 5 units left, which, the equation, represents, the new graph, horizontal, vertical, transformation geometry, translation

Answer:

A. y=√(x+5)+2.

Step-by-step explanation:

We are given the function y=√(x).

Now, the function is shifted 2 units up and 5 units to the left.

That is, the function is translated 2 units up and 5 units to the left.

Since, we know,

Translation of 'k' units up changes the function f(x) to f(x)+k.

So, the function translated 2 units up is y=√(x)+2.

Translation of 'k' units to the left changes the function f(x) to f(x+k).

So, the new function translated 5 units left is y=√(x+5)+2.

Hence, the equation representing the new function is y=√(x+5)+2.

Find the slope, please and ty! (= ​

Answers