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Serggg [28]
3 years ago
13

Which number is irrational? 1) -4 2) 2/9 3)

e="\sqrt{11}" alt="\sqrt{11}" align="absmiddle" class="latex-formula">
4) 8.25
Mathematics
1 answer:
Semmy [17]3 years ago
6 0
It’s number 3 hope this helps
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A school library has 200 DVDs in its collection. Given that 40% of the DVDs are about science and 45% are about history, how man
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Answer:

The last 15 percent of that would be 39

Step-by-step explanation:

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3 years ago
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Why is -a² is always negative (a ≠ 0) and why is (-a)² is always positive?
hjlf
-a^2=(-1)\cdot a\cdot a

Regardless of the sign of a, we have a\cdot a=a^2\ge0 (never negative). But multiplying by -1 makes it negative.

On the other hand,

(-a)^2=((-1)\cdot a)^2=(-1)^2\cdot a^2=1\cdot a^2=a^2

which can never be negative for real a.
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3 years ago
What is the area of the largest rectangle with lower base on the x-axis and upper vertices on the curve y = 12 - x2? (4 points)
wolverine [178]

Answer: 16 square units

Step-by-step explanation:

let the vertex in quadrant I be (x,y)  

then the vertex in quadratnt II is (-x,y)  

base of the rectangle = 2x  

height of the rectangle = y  

Area = xy  

= x(12 - x²)  

= -x³ + 12x  

d(area)/dx = 3x² - 12 = 0 for a maximum of area  

3x² = 12  

x² = 4  

x = ±2  

y = 12-4 = 8

So, the largest area = 2 x 8 = 16 square units

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3 years ago
What is three over two x plus three equal to zero
nataly862011 [7]

QUESTION → \frac{3}{2}x + 3 = 0

Start by subtracting 3 from both sides to get \frac{3}{2}x = -3.

Now multiply both sides by the reciprocal of 3/2, which is 2/3.

On the left, we have x, and on the right, -3(2/3) is -2.

So we have x = -2.

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3 years ago
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A flock of birds was flying around a tree. When they landed, three birds to a branch, no branches were left and one bird had to
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Answer: 5 branches and 16 birds.

Step-by-step explanation:

If the number of birds is B, and the number of branches is N.

First we have the equation:

B = 3*N + 1

(3 birds per branch + 1 that was flying around)

for the second equation we have:

B = 4*(N - 1)

(4 birds per branch, but one branch had no birds on it, so there are N -1 branches used)

now we can write:

3*N + 1 = 4*(N - 1)

3*N + 1 = 4*N - 4

4 + 1 = 4*N - 3*N

5 = N

So we had 5 branches, now we can replace it in one of the equations and find the number of birds.

B = 3*N + 1 = 3*5 + 1 = 16

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3 years ago
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