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3 years ago

What is the value of the expression (-2t^2)^3' when 't = -3'?

Mathematics

1 answer:

aleksandrvk [35]3 years ago

5 0

Answer:

I believe it is 46656

Step-by-step explanation:

(-2*-3) = 6 ^2 = 36^3 = 46656

Hope this helps you!

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The function f(x) = 1/2 x + 3/2 is used to complete this table.

Mrac [35]

Answer:

a) f(-1/2) = -2 is NOT TRUE.

b) f(0) =3/2 is TRUE.

c) f(1) = -1 is NOT TRUE.

d) f(2) = 1 is NOT TRUE.

e) f(4) = 7/2 is TRUE.

Step-by-step explanation:

Here, the given function is $f(x) = (\frac{1}{2}) x+\frac{3}{2}$

Now, checking for each values for the given function:

a) Putting x = (-1/2):

$f(\frac{-1}{2} ) = (\frac{1}{2})(\frac{-1}{2} ) +\frac{3}{2} = \frac{-1}{4} + (\frac{3}{2} )\\\implies f(x) = \frac{-1 + 6}{4} = (\frac{5}{4} )$

and (5/4) ≠ -2

Hence, f(-1/2) = -2 is NOT TRUE.

b)Putting x = 0 :

$f(0) = (\frac{1}{2})(0 ) +\frac{3}{2} = (\frac{3}{2} )$

Hence, f(0) =3/2 is TRUE.

c) Putting x = 1:

$f(1 ) = (\frac{1}{2})(1 ) +\frac{3}{2} = \frac{1}{2} + (\frac{3}{2} )\\\implies f(x) = \frac{3 + 1}{2} = (\frac{4}{2} ) = 2\implies 2 \neq -1$

Hence, f(1) = -1 is NOT TRUE.

d)Putting x = 2:

$f(2 ) = (\frac{1}{2})(2 ) +\frac{3}{2} = 1+ (\frac{3}{2} )\\\implies f(x) = \frac{2 + 3}{2} = (\frac{5}{2} )$

and (5/2) ≠ 1

Hence, f(2) = 1 is NOT TRUE.

e)Putting x = 4:

$f(4 ) = (\frac{1}{2})(4 ) +\frac{3}{2} = 2 + (\frac{3}{2} )\\\implies f(x) = \frac{4 + 3}{2} = (\frac{7}{2} )$

Hence, f(4) = 7/2 is TRUE.

4 0

3 years ago

Ten men and ten women are to be put in a row. Find the number of possible rows if Beryl, Carol, and Darryl want to stand next to

enyata [817]

Answer: 6 possibilities.

Carol, Beryl, and Darryl

Carol, Darryl, and Beryl

Darryl, Carol, and Beryl

Darryl, Beryl, and Carol

Beryl, Darryl, and Carol

Beryl, Carol, and Darryl

Hope this helps :)

5 0

3 years ago

The principal P is borrowed at a simple interest rater for a period of time t. Find the loan's future value A, or the total amou

olga55 [171]

your missing information

how often is it compounded? monthly,yearly, annually, daily?

8 0

3 years ago

Please explain your answer and show your work

MissTica

9514 1404 393

Answer:

A. 6b³

B. 6b +6

C. p = 0.0375(6b³ +b +1)

D. $115.54

Step-by-step explanation:

Given:

3 candles with dimensions b×b×b, b×b×2b, and b×b×3b

with wicks of lengths b+2, 2b+2, 3b+2

wick costs $0.005/cm; wax costs $0.03/cm³

selling price is material cost + 25%

Find:

A. an expression for total volume

B. an expression for total wick length

C. an expression for the purchase price of a set

D. purchase price for a set with base area 64 cm²

Solution:

A. The sum of the volumes of the three candles is ...

v = b³ +2b³ +3b³

v = 6b³

B. The sum of the wick lengths is ...

L = (b +2) +(2b +2) +(3b +2)

L = 6b +6

C. The selling price is 25% more than the cost of materials so is ...

p = (1.25)(0.03×6b³ +0.005×(6b +6)) = 0.225b³ +.0375b +.0375

p = 0.0375(6b³ +b +1)

D. The side of the base is the square root of the base area, so is ...

b = √(64 cm²) = 8 cm

Then the price of a set of candles is ...

p = 0.0375(6·8³ +8 +1) = 0.0375·3081 = 115.54

Purchase price for a candle set with a base area of 64 cm² is $115.54.

4 0

3 years ago

What is the sum of 667 and 23? a. 29 b. 15,341 c. 644 d. 690

gavmur [86]

D. 690

Because
667 + 23=690

6 0

3 years ago