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timama [110]
3 years ago
15

Which equation is a linear function?hurry plz

Mathematics
1 answer:
boyakko [2]3 years ago
7 0

y=x is a linear function.  This is the only function not to a power

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small cubes with edge lengths of 1/4 inch will be packed into the right rectangular prism shown.( the base is 4 1/2, the width i
ss7ja [257]

General Idea:

We need to find the volume of the small cube given the side length of the small cube as 1/4 inch.

Also we need to find the volume of the right rectangular prism with the given dimension (the height is 4 1/2, the width is 5, and the length is 3 3/4).

To find the number of small cubes that are needed to completely fill the right rectangular prism, we need to divide volume of right rectangular prism by volume of each small cube.

Formula Used:

Volume \; of \; Cube = a^3 \; \\\{where \; a \; is \; side \; length \; of \; cube\}\\\\Volume \; of  \; Right \; Rectangular  \; Prism=L \times W \times H\\\{Where  \; L \; is \; Length, \; W \; is \; Width, \;and  \; H \; is \; Height\}

Applying the concept:

Volume of Small Cube:

V_{cube}= (\frac{1}{4}  )^3= \frac{1}{64} \; in^3\\\\V_{Prism}=  3 \frac{3}{4}  \times 5 \times  4 \frac{1}{2}  = \frac{15}{4}  \times \frac{5}{1}  \times \frac{9}{2}  = \frac{675}{8}  \\\\Number \; of \; small \; cubes= \frac{V_{Prism}}{V_{Cube}}   = \frac{675}{8}  \div \frac{1}{64}  \\\\Flip \; the \; second \; fraction\; and \; multiply \; with \; the \; first \; fraction\\\\Number \; of \; small \; cubes \;= \frac{675}{8} \times \frac{64}{1}   = 5400

Conclusion:

The number of small cubes with side length as 1/4 inches that are needed to completely fill the right rectangular prism whose height is 4 1/2 inches, width is 5 inches, and length is 3 3/4 inches is <em><u>5400 </u></em>

4 0
3 years ago
Read 2 more answers
Solve by using proper methods. Show your work.
NeX [460]

Answer:

$70,201.38

Step-by-step explanation:

To determine the principal amount, we can use the formula:

P=\dfrac{A}{(1+\frac{r}{n})^{nt}}

A = $200,000

r = 7% or 0.07

t = 15 years

n = 12

Now let's substitute our values.

P=\dfrac{200,000}{(1+\frac{0.07}{12})^{12(15)}}

P=\dfrac{200,000}{(1.00583333333)^{12(15)}}

P=70,201.38

So the principal needed to get 200,000 in 15 years is $70,201.38.

7 0
2 years ago
What is 17/21 - 2/10 = ___ - ___ = ____
umka2103 [35]

Step-by-step explanation:

step 1. 17/21 - 2/10 = x (in order to subtract you need a common denominator)

step 2. (17/21)(10/10) - (2/10)(21/21) = x

step 3. 170/210 - 42/210 = x

step 4. 128/210 = 64/105 = x

step 5. x = 64/105.

5 0
2 years ago
Write an expression that has four terms. your expression should have three different variables and a constant
Katyanochek1 [597]
A term is a number or variable in a math sentence (such as an expression or equation). 

Example:

a + 2b + c + 5

5 is a constant; a,b, c are all variables.
4 0
2 years ago
Easy Area problem <br><br> Need it fast
Gekata [30.6K]

Answer:

just subtract the area of the rectangle from the area of the carpet

fine I'll do it

Area of a rectangle= lb

Area of a square= a^2

Area of the remaining area= lb - a^2

= (12*4) - (2*2)

= 48-4

= 44 ft^2

5 0
3 years ago
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