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Vinvika [58]
3 years ago
8

The perimeter of any rectangle is the sum of its lengths and widths. The area of any rectangle is the length l times the width w

.
a.Write an expression for the perimeter of a rectangle.

b.Write an expression for the area of a rectangle

c.Find the perimeter of the rectangle ( length=14 width=8)

d.Find the area of the rectangle shown
Mathematics
1 answer:
kkurt [141]3 years ago
4 0
A. 2(l)+2(w)=P

B. lw=A

C. 2(14) + 2(8) = P
28 + 16 = P
44 = P

D. Im going to assume the rectangle shown is the same as C...
14 x 8 = A
112=A

Hope this helps!
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Two card decks are drawn from a standard 52-card deck, without replacement. Find the probability that they are both aces.
LenaWriter [7]
I'm sorry, when I answered this I'm pretty sure I wasn't in algebra two yet. The correct answer is 4/52 * 3/51 = 1/221
6 0
3 years ago
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Determine, using the intermediate value theorem, if the function F(x)=x^3+2x-1 has a zero on the interval [0,1]. Justify your an
SSSSS [86.1K]

Plug x = 0 into the function

f(x) = x^3 + 2x - 1

f(0) = 0^3 + 2(0) - 1

f(0) = -1

Note how the result is negative. The actual number itself doesn't matter. All we care about is the sign of the result.

Repeat for x = 1

f(x) = x^3 + 2x - 1

f(1) = 1^3 + 2(1) - 1

f(1) = 2

This result is positive.

---------------------------

We found that f(0) = -1 and f(1) = 2. The first output -1 is negative while the second output 2 is positive. Going from negative to positive means that, at some point, we will hit y = 0. We might have multiple instances of this happening, or just one. We don't know for sure. The only thing we do know is that there is at least one root in this interval.

To actually find this root, you'll need to use a graphing calculator because the root is some complicated decimal value. Using a graphing calculator, you should find the root to be approximately 0.4533976515

7 0
3 years ago
the position of a deep sea probe is -2 3/4 fathoms relative to the sea level. after finishing taking data, it moves to -2 5/8 fa
alisha [4.7K]

Answer:

  • The first mission

Step-by-step explanation:

<u>The depth readings are</u>

  • The first mission:  - 2 3/4 fathoms
  • The second mission: - 2 5/8 fathoms

<u>Comparing the readings</u>

  • - 2 3/4 = - 2 6/8  and  - 2 5/8

<u>Absolute values compared</u>

  • 2 6/8 > 2 5/8

Indicating the greater value on the first mission

As per above, the first mission was deeper

8 0
3 years ago
1
Lina20 [59]

Answer:

\textbf{The slope of the parallel line is given by $ 2 $}\\

Step-by-step explanation:

\textup{The slope of any two parallel lines are equal and they only differ in their $y- intercepts$. }\\\textup{Given $y = 2x + 4 $}\\\textup{This is  comparable to $y = mx + c$, where $m$ is the slope of that line.}\\\textup{Therefore, the slope of the given line and any line parallel to it is $ 2$.}

7 0
3 years ago
Diego was trying to write 2^3 · 2^2 with a single exponent and wrote 2^3·2^2 = 2^3*2 = 2^6 . Explain to Diego what his mistake w
cupoosta [38]

Answer:

2^3·2^2 = 2^3+2 = 2^5  

Step-by-step explanation:

Diego was trying to write 2^3 · 2^2

He wrote  2^3·2^2 = 2^3*2 = 2^6  

But this is wrong because when bases are same exponents are added.

This is the law of exponents.

The correct form would be

2^3·2^2 = 2^3+2 = 2^5  

For understanding it better we can write it like this

2^3·2^2 =

There are 3 two and 2 twos .When totaled there are 5 two not 6 twos.

5 0
3 years ago
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