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inessss [21]
3 years ago
13

Use natural logarithms to evaluate log7 2506

Mathematics
1 answer:
elixir [45]3 years ago
6 0
Using the change in base property, we have \frac{ln2506}{ln7}=4.022 approximately.
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Need help solving this problem down below.​
Veronika [31]

Answer:

1 / We have the area of a rectangle ABCD = 8 x 16 = 128 ft²

2 / Find the area of an isosceles Δ DEF:

The base of the isosceles ΔDEF => DF = DC- FC = 16 -12 = 4 ft

So the area of Δ DEF = 1/2 (DF x EH) = 1/2 (4 x 6) = 12 ft²

3 / Area of the irregular shape = area ABCB + Area DEF = 128 + 12 = 140 ft²

Step-by-step explanation:

3 0
3 years ago
I need help please !!!!!!
garri49 [273]

Answer:

And the probability that the first die shows an odd number is 1/2, as is the probability that the second does. Since the dice fall independently, P(both are odd) = P(first is odd)*P(second is odd) = (1/2)*(1/2) = 1/4. Therefore P(at least one is even) = 1 - 1/4 = 3/4.

7 0
3 years ago
Read 2 more answers
Indentify which values are solutions of 3x - 5 ≤ -2
azamat

Answer:

x ≤ 1

Step-by-step explanation:

First, add 5 to both sides (we want to isolate x).

3x ≤ 3

Now, we divide by 3.

x ≤ 1

That's the answer! All values equal to or less than 1 are solutions of 3x - 5 ≤ -2.

Hope this helps

8 0
3 years ago
What are the solutions to the following system?
bija089 [108]

The solutions are (\sqrt{2},-1) \text { and }(-\sqrt{2},-1).

Solution:

Given equation:

-2 x^{2}+y=-5

Add 2 x^{2} on both sides.

-2 x^{2}+y+2 x^{2}=-5+2 x^{2}

y=-5+2 x^{2} -------- (1)

y=-3 x^{2}+5 (given)  -------- (2)

Equate (1) and (2).

-5+2 x^{2}=-3 x^{2}+5

Add 3 x^{2} on both sides.

-5+2 x^{2}+3 x^{2}=-3 x^{2}+5 +3 x^{2}

-5+5x^{2}=5

Add 5 on both sides.

-5+5x^{2}+5=5+5

5x^{2}=10

Divide by 5 on both sides, we get

x^{2}=2

Taking square root on both sides, we get

x=\sqrt{2}, x=-\sqrt{2}

Substitute x=\sqrt{2} in (1).

y=-5+2(\sqrt{2})^2

y=-5+4

y=-1

Substitute x=-\sqrt{2} in (1).

y=-5+2(-\sqrt{2})^2

y=-5+4

y=-1

Therefore the solutions are (\sqrt{2},-1) \text { and }(-\sqrt{2},-1).

Option C is the correct answer.

6 0
3 years ago
A plane flies 100km north and then flies 400km south, what is its new position?
kumpel [21]

Answer:

300km south

Step-by-step explanation:

Go up once from original position then down four times

4 0
2 years ago
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