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iren2701 [21]
3 years ago
6

Which expression is equivalent to 2m^2-m^2(7-m)+6m^2

Mathematics
2 answers:
shepuryov [24]3 years ago
7 0
Hope this helps you!

Ratling [72]3 years ago
6 0

Answer: D. m^3+m^2 on edge :)

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There are 12 grams of sugar in 1⁄3 of a piece of candy. How much sugar is in 3⁄4 of a piece of candy?
lisov135 [29]

Answer:

27 grams of sugar

Step-by-step explanation:

If 1/3 candy contains 12 grams of sugar

Then 3/4 candy contains C grams of sugar

C= 3/4 * 12grams➗1/3=3*12*3grams➗4=108grams➗4=27 grams of sugar

4 0
2 years ago
Rafael writes an expression to represent “a number, n, decreased by thirty-one.” Then he evaluates that expression if n=29. Whic
yulyashka [42]
This is a subtraction expression.o evaluate, substitute 29 for the variable in the expression.to<span>evaluate the expression, subtract 31 from 29.</span>
3 0
3 years ago
Read 2 more answers
The volume of a tetrahedron is 1 6 of the volume of a parallelepiped whose sides are formed using the vectors coming out of one
Irina18 [472]

Answer: The volume of the tetrahedron is 2 units.

Step-by-step explanation:

Let A = (1, 1, 1)

B = (1, 5, 5)

C = (2, 2, 1)

The volume of a tetrahedron is given as

V = (1/6)|AB, AC, AD|

Where |AB, AC, AD| is the determinant of the matrix of AB, AC, AD.

We need to determine AB, AC, and AD

Suppose A = (a1, a2, a3)

B = (b1, b2, b3)

C = ( c1, c2, c3)

AB = ( b1 - a1, b2 - a2, b3 - a3)

Similarly for AB, AC, BC, etc.

AB = (1 - 1, 5 - 1, 5 - 1)

= (0, 4, 4)

AC = (1, 0, 2)

AD = (1, 1, 0)

Volume =

(1/6) |0 4 4|

|1 0 2|

|1 1 0|

= (1/6)[0(0 - 2) - 4(0 - 2) + 4(1 - 0)

= (1/6)(0 + 8 - 4)

= (1/6)(12)

V = 12/6 = 2 units

5 0
3 years ago
A principal of 2000 is invested at 3.25% interest, compounded annually. How much will the investment be worth after 10 years?
zepelin [54]

Answer:

$2,753.79

Step-by-step explanation:

Compound Interest Formula

\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}

where:

  • A = final amount
  • P = principal amount
  • r = interest rate (in decimal form)
  • n = number of times interest applied per time period
  • t = number of time periods elapsed

Given:

  • P = $2,000
  • r = 3.25% = 0.0325
  • n = 1
  • t = 10

Substitute the given values into the formula and solve for A:

\implies \sf A=2000\left(1+\frac{0.0325}{1}\right)^{(1 \times 10)}

\implies \sf A=2000(1.0325)^{10}

\implies \sf A=2753.788608...

Therefore, the value of the investment after 10 years will be $2,753.79 to the nearest cent.

8 0
2 years ago
A yoga studio charges a $120 yearly fee for membership plus $16 for each class.
Stolb23 [73]

Answer:

$17.2

Step-by-step explanation:

120 + 16*100 = 120 + 1600 = 1720

The member pays $1720 annually for 100 classes and membership fee combined.

1720/100 = 17.2

The student pays $17.2 per class on average.

6 0
2 years ago
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