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Butoxors [25]
2 years ago
9

If 8^y=16^y+2, what is the value of y? A) -8 B) -4 C) -2 D) -1

Mathematics
1 answer:
Pie2 years ago
6 0
8=2^3;\ 16=2^4

Use:\ (a^n)^m=a^{nm}

8^y=16^{y+2}\\\\(2^3)^y=(2^4)^{y+2}\\\\2^{3y}=2^{4(y+2)}\iff3y=4(y+2)\\\\3y=4y+8\ \ \ |-4y\\\\-y=8\to y=-8

Answer: A) -8.

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Korolek [52]

Answer:

30

Step-by-step explanation:

Add all of them

5 0
3 years ago
Anyone Help me please!! I’m completely lost
pav-90 [236]

Answer:

Parallelogram Height = 6 cm * sine (60)

Height = 6 * 0.86603

Height = 5.19618

Parallelogram Area = Height * Side TH

Parallelogram Area = 5.19618 * 8

Parallelogram Area = 41.56944 square cm

You might find this page helpful: https://www.1728.org/quadpar.htm


Step-by-step explanation:


5 0
3 years ago
Which choices are equivalent to the exponential expression below? check all that apply. (2/3)^3
rosijanka [135]

Answer:

B. (2/3) x (2/3) x (2/3)

C. 8/27

D. 2^3 /3^3

Step-by-step explanation:

You need to know the following property

\LARGE \left(\frac{a}{b} \right)^c = \frac{a^c}{b^c}

Exponent also means you're multiplying the same number for an 'n' number of times.

For example, 2^3 = 2 * 2 * 2

we multiply it by itself 3 times since 3 is the exponent.

x^y

x is the base, y is the exponent

we read it as x to the power of y

If the exponent is 2, we say it as x squared

If the exponent is 3, we say it as x cubed

4 0
3 years ago
Two runners start the race at the same time. The first runner's speed is
ki77a [65]

The speed of the first runner is 1.78 mph while for the second runner is 2.22 mph

<h3>Speed</h3>

Speed is the ratio of total distance to total time taken. It is given by:

Speed = distance / time

Let a represent the speed of the first runner and b for the second runner. Hence:

a = (4/5)b

After 30 minutes (0.5 hour), the runners are 2 miles apart, hence:

a = d₁ / 0.5

d₁ = 0.5a

Also:

b = d₂/0.5

d₂ = 0.5b

d₁ + d₂ = 2, hence:

0.5a + 0.5b = 2

0.5(4/5)b + 0.5b = 2

b = 2.22 mph

a = (4/5) * 2.22 = 1.78 mph

The speed of the first runner is 1.78 mph while for the second runner is 2.22 mph

Find  out more on Speed at: brainly.com/question/13943409

8 0
2 years ago
Read 2 more answers
Which system of equations has no solution? A. 3y = 1 + x y = –2x + 5 B. 4x – 5y = 3 –3 = 4x – 5y C. 5x + 4y = 1 4x – 2y = 4 D. y
lina2011 [118]

Answer:

Equation B has no solution

Step-by-step explanation:

The reason it has no solution is because we are getting 2 answers for the same sum

We already have 4x -5y = 3

And also we are still having the same sum as equal to -3

This shows that we can not have a solution to the system

4 0
3 years ago
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