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2 years ago

If 8^{y}=18^{y+2} what is the value of y?

Mathematics

2 answers:

Nina [5.8K]2 years ago

8 0

Answer:

-8

Step-by-step explanation:

both 8^-8 and 16^-8+2 equal 5.9605

algol132 years ago

8 0

$[Hello,BrainlyUser]$

Answer:

y = -8

Step-by-step explanation:

Create equivalent expressions in the equation that all have equal bases.

$2^3^y=2^4^(^y^+^2^)$

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

$3y=4(y+2)$

Simplify

$4(y+2).$

Apply the distributive property.

$3y=4y+4*2$

Multiply 4 by 2

$3y=4y+8$

Subtract 4y from both sides of the equation.

$3y-4y=8$

Subtract 4y from 3y.

$-y=8$

Multiply each term in −y=8 by −1

$y=-8$

Hence, Answer is y = -8

[CloudBreeze]

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I NEED HELP!! THIS MY FINAL!

barxatty [35]

Answer:

13.5

18.1

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12.8

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49.1

31.8

Step-by-step explanation:

In solving this question, remember the annotation SOHCAHTOA

1. We are given the value of the hypotenuse and we are to determine the value of the adjacent side. COS would be used to determine this value

Cos 26 = Adjacent / hypotenuse

cos 26 = x / 15

x / 15 =0.8988

x = 15 x 0.8988 = 13.5

2. We are given the value of the hypotenuse and we are to determine the value of the opposite side. SIN would be used to determine this value

Sin = opposite / hypotenuse

sin 49 = x / 24

0.7547 = x / 24

x = 0.7547 x 24

x = 18.1

3. We are given the value of the opposite side and we are to determine the value of the adjacent side. TAN would be used to determine this value

Tan = opposite / adjacent

tan 14 = 18 /x

18 / 0.2493 = 72.2

4. We are given the value of the adjacent and we are to determine the value of the hypotenuse side. COS would be used to determine this value

cos 67 = opposite / hypotenuse

0.3907 = 5/x

x =5/ 0.3907 = 12.8

to determine the missing angle

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4 0

3 years ago

Two of the most popular options on a certain type of new car are automatic transmission and built-in GPS. Suppose that 90% of al

padilas [110]

Answer:

0.95 = 95% probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

Step-by-step explanation:

We solve this question treating these probabilities as Venn sets.

I am going to say that:

Event A: Requesting automatic transmission

Event B: Requesting built-in GPS

90% of all buyers request automatic transmission

This means that $P(A) = 0.9$

82% of all buyers request built-in GPS

This means that $P(B) = 0.82$

77% of all buyers request both automatic transmission and built-in GPS.

This means that $P(A \cap B) = 0.77$

What is the probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

This is $P(A \cup B)$ , which is given by:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

$P(A \cup B) = 0.9 + 0.82 - 0.77 = 0.95$

0.95 = 95% probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

3 0

3 years ago

Please help asap, will mark Brainliest xoxo

IgorC [24]

Answer/Step-by-step explanation:

Given, $b(x) = (\frac{6}{7})^{x}$

The table for the function are:

When x = -2

$b(-2) = (\frac{6}{7})^{-2}$

$b(-2) = \frac{1}{(\frac{6}{7})^{2}}$

$b(-2) = \frac{1}{(\frac{36}{49})}$

$b(-2) = 1*\frac{49}{36}$

$b(-2) = \frac{49}{36}$

When x = -1

$b(-1) = (\frac{6}{7})^{-1}$

$b(-1) = \frac{1}{(\frac{6}{7})}$

$b(-1) = 1*\frac{7}{6}$

$b(-2) = \frac{7}{6}$

When x = 0

$b(0) = (\frac{6}{7})^{0}$

$b(0) = \frac{6^0}{7^0}$

$b(0) = \frac{1}{1}$

$b(0) = 1$

When x = 1

$b(1) = (\frac{6}{7})^{1}$

$b(1) = \frac{6}{7}$

When x = 2

$b(2) = (\frac{6}{7})^{2}$

$b(2) = \frac{6^2}{7^2}$

$b(2) = \frac{36}{49}$

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3 years ago

Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).

Anna [14]

The shaded areas add to 2/5 of the area of the circle, which is given by
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Then the shaded area is ...
(2/5)A = (2/5)π(10 in)²
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3 years ago

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Westkost [7]

Answer:

I do not understand the question

Step-by-step explanation:

I do not understand the question. Perhaps you can add a picture to clearify?

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3 years ago

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