Graph y=sec(x+pi/4)

Henry has been typing a book report that contains 1250 words. So far he has been typing for 1/4 hour at a rate of 30 words per m

Rasek [7]

He must type the remainder of the report by rate 32 words per minute to finish it in 25 minutes

Step-by-step explanation:

The given is:

Henry has been typing a book report that contains 1250 words
He has been typing for 1/4 hour at a rate of 30 words per minutes
He must type the remainder of the report in 25 more minutes

We need to find his rate to finish the remaining report in 25 minutes

∵ Henry has been typing for 1/4 hour at a rate of 30 words per minute

- We must to change $\frac{1}{4}$ hour to minutes

∵ 1 hour = 60 minutes

∴ $\frac{1}{4}$ hour = $\frac{1}{4}$ hour × 60 = 15 minutes

∴ He has been typing for 15 minutes at a rate of 30 words per minute

∵ The number of words has been typed = his rate × time

∴ The number of words has been typed = 30 × 15 = 450 words

∵ The book report that contains 1250 words

- Subtract the number of words has been typed from the total

words to find the remaining word in the book

∴ The remaining words = 1250 - 450 = 800 words

∵ He plans to finish them in 25 minutes

- Substitute the number of the remaining words and the time

in the rule above to find his rate

∵ 800 = his rate × 25

- Divide both sides by 25

∴ His rate = 32 words per minute

He must type the remainder of the report by rate 32 words per minute to finish it in 25 minutes

Learn more:

You can learn more about the rate in brainly.com/question/10712420

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6 0

3 years ago

. Write the following exponential expressions as equivalent radical expressions. <br> a. 2^(1 /2)

Andrei [34K]

Answer:

So $2^{\frac{1}{2}}$ will be equivalent to $\sqrt{2}$ in radical form

Step-by-step explanation:

We have given expression $2^{\frac{1}{2}}$

We have to write this in radical form

We know that if any fraction is in exponential form then if we write this in radical form then in radical form the exponent come inverse of its number

So $2^{\frac{1}{2}}$ can be written in radical form as $\sqrt{2}$

So $2^{\frac{1}{2}}$ will be equivalent to $\sqrt{2}$ in radical form

7 0

3 years ago

For each month of a year, Selena saved

Schach [20]

Answer:

[1800-100(12)]/12 = (1800-1200)/12 = 600/12 = 50

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A car travels 1.9 miles from Point A to Point B. The car then turns at Point B and travels 1 mile to Point C, before heading bac

tamaranim1 [39]

If you represent the problem in a diagram, you will form a triangle with 3 known length of the sides. When you are given all sides, and you are asked to find an angle, you can use the cosine law.

b^2 = a^2 + c^2 - 2ac*cosB
1.4^2 = 1.9^2 + 1^2 - 2(1.9*1)(cosB)
B = 45.78°

3 0

4 years ago

Graph the line with slope 3/2 and y-intercept 3.

Tcecarenko [31]

Answer:

The steepness of any incline can be measured as the ratio of the vertical change to the horizontal change. For example, a 5 % incline can be written as 5100 , which means that for every 100 feet forward, the height increases 5 feet.Figure 4.4.1 In mathematics incline of a line the slope and use the letter m to denote it. The vertical change is called the rise and the horizontal change is called the run.Slopem=vertical changehorizontal change=riserun(4.4.1)The rise and the run can be positive or negative. A positive rise corresponds to a vertical change up and a negative rise corresponds to a vertical change down. A positive run denotes a horizontal change to the right and a negative run corresponds to a horizontal change to the left. Given the graph, we can calculate the slope by determining the vertical and horizontal changes between any two points.Example 4.4.1 Figure 4.4.2 From the given points on the graph, count 3 units down and 4 units right.m=riserun=−3units4units=−34 the Answer is.m=−34 .

Step-by-step explanation:

8 0

2 years ago