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s2008m [1.1K]
3 years ago
14

Use a graphing calculator to solve (1/4) ^ x+2 = 6:

Mathematics
1 answer:
ANTONII [103]3 years ago
3 0

Answer:

Take the logarithm of both sides of the equation to remove the variable from the exponent.

Exact Form:

x =  − 2  −  ln ( 6 )/ ln ( 4 )

Decimal Form:

x = −3.29248125 …

Hope this helps!

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What is the percent increase in the surface area of the AAA battery to the AA battery? Round your answer to the nearest tenth of
Bogdan [553]

Answer:

101.1%

Step-by-step explanation:

The two batteries are in the shape of cylinder.

The total surface area of a cylinder

SA = (2πr^2 + 2πrh ) =

For AAA battery

h = 0.8mm

r = 1.9 mm

SA = (2π(1.9)^2 + 2π × 1.9 × 0.8 )

SA = 22.68 + 9.55

SA = 32.23 mm^2

For AA battery

h = 1 mm

r = 2.75 mm

SA = (2π(2.75)^2 + 2π×2.75× 1 )

SA = 47.52 + 17.28

SA = 64.80 mm^2

Increase in SA = 64.80 - 32.23

Increase in SA = 32.57

% increase = increase in SA/AAA × 100

% increase in SA = 32.57/32.23 × 100

% increase in SA = 101.1%

4 0
3 years ago
Write an equation for when k= 1/6
Elden [556K]

Answer:

2/6 - 1/6 = k

Step-by-step explanation:

3 0
3 years ago
Consider the transformation: (x, y) =(x + 2 y + 5). Find the
masha68 [24]

Answer:

B' (- 7, 6 )

Step-by-step explanation:

Given the translation rule

(x, y ) → (x + 2, y + 5 )

This means add 2 to the original x- coordinate and add 5 to the original y- coordinate, then

B (- 9, 1 ) → B' (- 9 + 2, 1 + 5 ) → B' (- 7, 6 )

7 0
3 years ago
The lengths of three line segments are 4 cm, 5 cm, and 9 cm. Using the information how many triangles can be constructed
anyanavicka [17]

No triangles can be constructed because

a+b>c

4+5 is not greater than 9

7 0
3 years ago
US<br> Evaluate the following<br> expression using x = 10:<br> 5x + 31
svetoff [14.1K]

Answer:

The value is 81

Step-by-step explanation:

We need to find value of 5x+31 when x=10

We have

5\times10+31=50+31\\\\=81

4 0
3 years ago
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