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zavuch27 [327]
3 years ago
9

Solve: log(2)(3x + 8) = 5 Which is an equivalent equation?

Mathematics
2 answers:
Rzqust [24]3 years ago
8 0

You can just simplify to make an equivalent equation:

(2)(3x + 8) = 5 ⇒ 6x + 16 = 5


Answer:

\boxed{\bf~6x + 16 = 5}


Hope it helped,


BioTeacher101


<em>(If you have any questions feel free to ask them in the comments)</em>


Debora [2.8K]3 years ago
5 0

<u>Answer</u>

x = 8


<u>Explanation</u>

㏒₂ (3x + 8) = 5

5 =㏒₂ 2⁵.

∴ ㏒₂ (3x + 8) = ㏒₂ 2⁵

If the right side of the equation above is equal to the left side, then it is true to say that;

(3x + 8) = 2⁵

3x + 8 = 32

3x = 32 - 8

3x = 24

x = 24/3

    = 8

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Margaret [11]

Answer:

3.4

Step-by-step explanation:

just divide 8.16 by 2.4

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3 years ago
What is m Any answers?
Likurg_2 [28]

Answer:

B. 68°

Step-by-step explanation:

Since, opposite sides of the quadrilateral MNPQ are parallel.

Therefore, it is a parallelogram.

Measures of the opposite angles of a parallelogram are equal.

So,

(6x - 2)° = (4x + 36)°

6x - 2 = 4x + 36

6x - 4x = 36 + 2

2x = 38

x = 38/2

x = 19

m\angle M = (6x - 2)\degree  \\  \\ m\angle M = (6 \times 19- 2)\degree  \\  \\ m\angle M = (114- 2)\degree  \\  \\  m\angle M =112\degree  \\  \\ \because m\angle M + m\angle N = 180\degree  \\ (adjacent \: angles) \\  \\ \therefore m\angle N = 180\degree   - m\angle M \\  \\ \therefore m\angle N = 180\degree   - 112 \degree \\  \\ \therefore m \angle N = 68\degree

8 0
3 years ago
Central Park is a rectangular-shaped park in the middle of New York City. The area of the park is 3.41 square kilometers.
dmitriy555 [2]

Answer:

4,262.50 m

842 acres

Step-by-step explanation:

Given that :

Park is rectangular in shape

Width of park = 800 m

Area of park = 3.41 km²

Width of park = 800 / 1000 = 0.8 km

Area of rectangle, A

A = l * w

l = Length ; w = width

3.41 = l * 0.8

3.41 = 0.8l

l = 3.41 / 0.8

l = 4.2625 km

Hence, length in meters :

4.2625 * 1000

= 4,262.50 m

B.)

1 km² is approximately 247 acres

3.41km² = 3.41 * 247

3.41 km² = 842.27

= 842 acres

6 0
2 years ago
70 points!!!! Find the horizontal and the vertical components of f.
choli [55]

Answer:

  • F = (16.74, -2.95)

Explanation:

<u />

<u>1) Horizontal component</u>

The horizontal component is related to the magnitude of the force by the cosine ratio:

  • cos (α) = Fx / | F |

Where α in the angle (-10º), Fx is the horizontal component, and | F | is the magnitude of the force (17).

  • cos(-10º) = Fx / 17 ⇒ Fx = cos (-10º) × 17 = 16.74

<u />

<u>2) Vertical component</u>

The vertical component is related to the magnitude of the force by the sine ratio:

  • sin (α) = Fy / | F |

Where α in the angle (-10º), Fy is the vertical component, and | F | is the magnitude of the force (17).

  • sin(-10º) = Fy / 17 ⇒ Fy = sin (-10º) × 17 = -2.95

<u />

<u>3) Form (x,y)</u>

  • F = (16.74, -2.95)
6 0
3 years ago
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Vinil7 [7]

Answer:

B. 5 × 5 × 8

Step-by-step explanation:

Each of the boards have an area of 25. You have 8 of them.

4 0
3 years ago
Read 2 more answers
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