Without using a calculator, determine whether 1728 is a perfect square, perfect cube, or neither.

Answers

Answer 1
Answer: It's a perfect cube.

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What is the y-intercept of the line described by the equation below?

y = 7x + 4

Answers

The y-intercept is 4.

What is linear equation?

A linear equation is defined as an equation in which the highest power of the variable is always one.

GIven equation,

y = 7x+4  

Comparing to the equation of Line y=mx+b,

Whereas the y-intercept is the b.

So, 7 is the slope and 4 is the y-intercept

Hence the y-intercept is 4.

Learn more about linear equation

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The y-intercept is where the graph crosses the y-axis. In the equation y=mx+b, the y-intercept is the b. So in y=7x+4, the y-intercept would be positive 4, or the ordered pair (0,4).

How do i solve log6(25)-log6(5)

Answers

There's nothing there to solve.  But you can simplify the expression.

-- The difference of two logs is the log of the quotient.

                      log₆(25)  -  log₆(5)

                   =    log₆(25/5)  =  log₆(5) .

That may be all you can do with it.
If they want you to go ahead and actually find the value of  log₆(5) ...
I don't remember how to do that.  If it was  log₁₀(5)  or  ln(5) ,
those would be easy, because they're right on your calculator.
But the log to the base of (anything else other than 10 or 'e') takes
an additional step, which I don't remember.  

The company has a sample box that is a rectangular prism with a rectangular base with an area of 231⁄3 in2. The height of the prism is 1 1⁄4 in. Determine the volume of the sample box.

Answers

Answer:

29.17 in^3

Step-by-step explanation:

We are given that  

Base area of sample box,a=23(1)/(3) in^2=(70)/(3)in^2

Height of the sample box,h=1(1)/(4)=(5)/(4) in

We have to find the volume of the sample box.

We know that  

Volume of rectangular prism,V=ah

Where a=Area of base

Using the formula  

Volume of sample box=(70)/(3)* (5)/(4)=29.17 in^3

Hence, the volume of the sample box=29.17 in^3

Which sentence uses punctuation correctly? a. The last book in the series, borrowed from a classmate, is quite long.
b. The last book in the series borrowed from a classmate is quite long.
c. The last book in the series borrowed from a classmate, is quite long.
d. The last book in the series, borrowed from a classmate is quite long.

Answers

It would probably be A because it makes more sence

Jose wants to find the perimeter of triangle ABC. He uses the distance formula to determine the length of AC. Finish Jose’s calculations to find the length of AC.What is the perimeter of triangle ABC? Round the answer to the nearest tenth, if necessary.

12.0 units
12.4 units
15.0 units
15.4 units

Answers

AC = √ (-5)² + (4)²
AC = √ 25 + 16
AC = √41
AC = 6.40  This is the measure of the hypotenuse.

long leg = 5      distance from -2 to +3 (x - axis)
short leg = 4     distance from 2 to 6 (y - axis)

perimeter = 6.4 + 5 + 4 = 15.4 units

Need help on this pls

Answers

Alright, lets get started.

As per the scale, (1)/(4) '' = 1 '

Means 0.25 '' = 1 ' (symbol '' denotes inches and ' denotes feet)

As per the drawing, the dimention of bedroom is 3(1)/(2) '' and 5(1)/(4) ''.

Means

3(1)/(2) '' = 3 + (1)/(2)  = 3 + 0.5 = 3.5''

converting into feet, we need to divide with 0.25.

Means the first dimension would be : (3.5)/(0.25)  = 14 '

Converting 5(1)/(4) into decimal : 5 + 0.25 = 5.25

Similarly, the second dimension in feet would be : (5.25)/(0.25) = 21 '

Hence the dimension of bedroom will be 14 ft by 21 ft : Option A : Answer

Hope it will help :)