If (-2, y) lies on the graph of y =4^x, then y =

Answers

Answer 1
Answer: Simply plug in x= -2 in to y = 4^x, and solve for y.

y=4^(-2)\n\ny = (1)/(4^2)\n\n\boxed{\bf{y=(1)/(16)}}

So, the point (-2, ¹/₁₆) lies on the graph of y = 4^x.

Your final answer is y = ¹/₁₆.

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Use the diagram to answer the question. Parallel lines a and b are crossed by transversal t to create 8 angles. Clockwise from top left, the angles are blank, blank, 2, 1; 3, 4, 6, 5. If m Angle1 = 45°, which other angles have a measure of 45°? Check all that apply.

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Answer: angle 4 and angle 5

Answer:

4

5

Step-by-step explanation:

two times antonios age plus three times sarahs age equals 34. sarahs age is also five times antonios age how old is sarah

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sarah is 10 hope this helped '
Sarah's age is 10 years and Antonio's age is 2 years. 

What’s the measure of ACD

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Answer:

option H, 130°

Step-by-step explanation:

In order to find the measure of ∠ACD, first find the measure of ∠ACB

∠ACB + ∠ABC + ∠BAC = 180° (angle sum property of a triangle)

∠ACB + 95° + 35° = 180°

∠ACB + 130° = 180°

∠ACB = 180° - 130°

∠ACB = 50°

∠ACD + ∠ACB = 180° (linear pair)

∠ACD + 50° = 180°

∠ACD = 180° - 50°

∠ACD = 130°

therefore, option H is the correct option

hope it helps you!

5x+60° what is the measurement of this angle.​

Answers

Answer:

x=6, 90 degree angle total?

Step-by-step explanation:

Hopefully this is a 90 degree angle, 90-60=30

30/5=6

x=6

ABC is a straight angle.which equation can be used to find the measure of the unknown angle?

Answers

Answer:

140 x 180

Step-by-step explanation:

Final answer:

To find the measure of the unknown angle in a straight angle ABC, you can use the equation A = A + A. This equation is derived from the Pythagorean theorem, which relates the legs of a right triangle to the length of the hypotenuse.

Explanation:

To find the measure of the unknown angle in a straight angle ABC, you can use the equation A = A + A. This equation is derived from the Pythagorean theorem, which relates the legs of a right triangle to the length of the hypotenuse. In a straight angle, the two legs are equal, so the equation simplifies to A = 2A. Therefore, the measure of the unknown angle is twice the measure of one of the legs

Is this correct? The answer I picked was the only one that had no limit. If I did it correctly the other choices limit was zero.

Answers

Step-by-step explanation:

These are all examples of p-series:

∑(1 / nᵖ), where p>0.

If p > 1, the series converges.  If 0 < p ≤ 1, the series diverges.

First option:

∑(1/n⁵)

Here, p = 5.  Since 5 > 1, the series converges.

Second option:

∑((√n+3)/n³)

∑((√n)/n³) + ∑(3/n³)

∑(1/n^2.5) + 3 ∑(1/n³)

In the first sum, p = 2.5.  In the second sum, p = 3.  Both are greater than 1, so the series converges.

Third option:

∑((n−4)/(n⁴√n))

∑(1/(n³√n)) − ∑(4/(n⁴√n))

∑(1/n^3.5) − 4 ∑(1/n^4.5)

In the first sum, p = 3.5.  In the second sum, p = 4.5.  Both are greater than 1, so the series converges.

Fourth option:

∑(1/∛n)

∑(1/n^⅓)

Here, p = ⅓.  This is less than 1, so the series diverges.

Note: if a series is converging, then the limit is 0.

However, if the limit of a series is 0, it does not necessarily mean that series is converging.

Here, the limit of all 4 options is 0.  However, the fourth option is a diverging series.