Given h(x)=√5-x, the range of h, in inequality notation, is

Answers

Answer 1

Answer: assuming that the 5-x is under te sqrt sign

you cannot have sqrt of a negative
find where it equals zero
5-x=0
5=x

the limit is 5=x

x has to be greater than x
to infinity
D={x|x>5}

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the function f is given by f(x) = 2x+3/x+1. Which of the following statements are true? i. the graph of f has a horizontal asymptote at y = 2 because lim x->[infinity] f(x) = 2 ii. the graph of f has a horizontal asymptote at y = 2 because lim x->[infinity] f(x) = 2 iii. the graph of f has a vertical asymptote at x = -1 because lim x->-1 f(x) = [infinity] a. I only b. Ill only c. I and Il only d. I, II, and III
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Sabella's parents are starting a college fund for her today, on her fifth birthday. Assuming they make no additional deposits or withdrawals, if they want to give her 50,000 Brazilian Real on her eighteenth birthday, how much do they need to deposit now if the bank is offering an interest rate of 5.5%, compounded monthly? a) Approximately 21,206 Brazilian Real b) Approximately 24,527 Brazilian Real c) Approximately 28,818 Brazilian Real d) Approximately 32,122 Brazilian Real

All of the following expressions are equivalent except _____.A.2 - x
B.x - 2
C.-2 + x
D.x + (-2)

Answers

A. All of the rest are x minus two, while that one is two minus x

Answer:

Step-by-step explanation:

All of the rest are x minus two, while that one is two minus x

Write as a decimal 0.068%

Answers

$0.068\% =0.00068$

Solutions in the picture

Good luck :)

Emily is three years older than twice her sister mary’s age. the sum of their ages is less than 30. let x represent mary's age. which inequality represents mary’s possible age? responses •0

Answers

x < 9

Step-by-step explanation:

Let's use the information given to create an inequality for Mary's age (represented as x):

↪ Emily is three years older than twice Mary's age, so Emily's age is 2x + 3.

↪ The sum of their ages is less than 30, so we can write an inequality:

x (Mary's age) + 2x + 3 (Emily's age) < 30

Now, We can simplify the inequality:

3x + 3 < 30

Subtract 3 from both sides of the inequality:

3x < 27

Now, divide both sides by 3 to isolate x:

x < 9

So, Mary's possible age (represented by x) is less than 9. The inequality that represents Mary's possible age is: x < 9.

Find the area of the circle. Round your answer to two decimal places, if necessary.

Answers

Final answer:

To find the area of a circle, use the formula A = πr^2. Identify the radius and substitute it into the formula to calculate the area. Round the answer to two decimal places if necessary.

Explanation:

To find the area of a circle, you can use the formula A = πr^2, where A represents the area and r represents the radius of the circle. Start by identifying the radius of the circle, which is the distance from the center to any point on the circumference. Once you have the radius, substitute its value into the formula and calculate the area. Make sure to round your answer to two decimal places if necessary. For example, if the radius of the circle is 5 units, the area would be A = 3.14 * 5^2 = 3.14 * 25 = 78.5 square units.

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Answer: 200.96 cm

Step-by-step explanation:

Area of a circle: $A=\pi r^2$

Since we don't have the radius, we have to find it.

What you gave me is the diameter which is 16 (cm) I suppose.

Radius is half the diameter. Therefore we can divide the diameter by 2 to find the radius.

16/2=8cm

This is our radius.

Plug this into the area formula.

$A=\pi r^2\nA=(3.14)(8)^2\nA=200.96cm$

How do I sort all of these into the right boxes?

Answers

Major (c): Half steps at 3-4, 7-8. Natural Minor (a): Half steps at 2-3, 5-6. Ascending Melodic Minor (b): Half steps at 2-3, 5-6, 7-8. Harmonic Minor (d): Half steps at 2-3, 7-8.

1. c. Major: The major scale features half steps between scale degrees 3 and 4, and 7 and 8. This pattern contributes to the bright and uplifting quality of the majorscale.

2. a. Natural Minor: The natural minor scale has half steps between scale degrees 2 and 3, and 5 and 6. These intervals create a unique sound associated with the natural minor, often perceived as more melancholic or introspective compared to the major scale.

3. b. Ascending Melodic Minor: Ascending melodic minor includes half steps between scale degrees 2 and 3, 5 and 6, and 7 and 8. This variation is used specifically in the ascending direction, providing a smoother transition and avoiding the augmented interval between the 6th and 7th degrees.

4. d. Harmonic Minor: The harmonic minor scale has half steps between scale degrees 2 and 3, and 7 and 8. The raised 7th degree imparts a distinct sound, often associated with a hint of tension and drama in the harmonic minor scale.

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Que. Match these scales with where their half steps fall.

1. Half steps between scale degrees 3 and 4, 7 and 8

2. Half steps between scale degrees 2 and 3, 5 and 6

3. Half steps between scale degrees 2 and 3, 5 and 6,7 and 8

4. Half steps between scale degrees 2 and 3, 7 and 8

a. Natural Minor

b. Ascending melodic minor

c. Major

d. Harmonic minor