Find the average rate of change of the function f(x)=√x from x₁ = 16 to x₂ = 81.

Ira took hours to reach the same distance as Ravi at the rate of 64miles per hour.

The ratio of two related quantities expressed in several units is known as a rate.

Speed is a rate defined as the amount of distance covered in a given amount of time.

The rate or speed is calculated by the formula:

Distance travelled = speed × time

Lets us solve the following question using the above formula.

The rate of Ravi is 73 mph.

In 15 hours Ravi travels= 15×73=1095 miles.

Now Ira also travels the same distance as Ravi.

So Ira Travels 1095 miles.

Given the rate of Ira=64 mph

Time taken by Ira to cover the distance= Distance ÷ speed(rate)

Hence time taken=1095÷64=17.109375 hours

Therefore the time taken by Ira to cover the same distance as Ravi is approximately 17.11 hours.

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Answer:

a+(-c); b; c-(-b)

Step-by-step explanation:

a = -1

b = 2

c = 3

Now we'll solve for each equation

b = 2

a + (-c) = -1 + (-3) = -4

c - (-b) = 3 - (-2) = 5

Answer:

18

Step-by-step explanation:

252/14=18

Answer:

They washed 18 cars

Step-by-step explanation:

252 ÷ 14 = 18

18 x 14 = 252

( ´ ∀ `)ノ～ ♡

The value of a and b are a = 3 and b = 4√3 which are real numbers.

According to the question the solution that we have been given is:

                            z = 3 + √-48

the general form of the solution given in the question is

                             x = a + bi        (1)

 where , i is known as the iota whose value is equal to √-1

Now to find the value of a and b we will expand the equation given above

                             z = 3 + √-48

                             z = 3 + √(-1)(48)

                             z = 3 + (√-1)(√48)

                             z = 3 + √48 i

                             z = 3 + 4√3 i       (2)

Which is equal to the general equation. Now comparing equation (1) and (2) we get

            a = 3 and b = 4√3

Hence the value are :  a = 3 and b = 4√3.

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Answer:

p = 6x

Step-by-step explanation:

Perimeter is the distance around a figure.

p = 2x + 1/2x +1/2x + 2x + x  if we combine all of the x's we get

p = 6x

Answer:

length= 10 width=5

Step-by-step explanation:

Answer:

It think it is 35

Step-by-step explanation:

A die was rolled 60 times, then the empirical probability of rolled a five = 1/5.

An experiment is repeated a fixed number of times and each repetition is known as a trial. Mathematically, the formula for the experimental probability is defined by; Probability of an Event P(E) = Number of times an event occurs / Total number of trials.

Empirical probability  = [tex]\frac{Number of favorable outcomes in experiment}{Total outcomes}[/tex]

Based on the given conditions,

Die was rolled 60 times.

That is,

Total outcomes = 60

She rolled One—11 times,

Two—9 times,

Four—12 times,

Five—12 times, and

Six—8 times.

But we can use rolling five,

That means, Five—12 times

And Total outcomes = 60

So,

We can write,

Number of favorable outcomes of getting 5 = 12

Then, the experimental probability rolled a five is given by,

= 12/60

= 1/5

Therefore, The empirical of probability of a rolled a five = 1/5.

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Part (a)

[tex]\overline{x}=\frac{\sum x}{n} \\ \\ \boxed{\sum x=n\overline{x}}[/tex]

Part (b)

[tex]\sum x^2-2\overline{x}(n\overline{x})+n\overline{x}^2 \\ \\ =\sum x^2 -2n\overline{x}^2+n\overline{x}^2 \\ \\ =\boxed{\sum x^2-n\overline{x}^2}[/tex]

Answer:

8/30 hr=16 minutes

Step-by-step explanation:

x/5+x/6=1

6x+5x=30

11x=30

x=30/11

x=2 8/30 =2 8/30 hours

Answer: Part A = y=−7.5x+15

Part B = 5 mi/hr

Step-by-step explanation:

Answer:2M+1

Step-by-step explanation: The 2 would be used to double Mark's age since the question says Joey is twice Marks age. The +1 is used to add one more year after multiplying Mark's age by 2 since the question says Joey is one year older. For example if Mark's age is 2 then plug it into the equation 2(2)+1 which would make Joey's age 5. Because the 2 would double the M in this case 2 and then add a 1 to his age after because of order of operations.

Answer: 4366

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

We have y ∝ x which is another way of saying y varies directly with x

We can rewrite the direct proportion relation y ∝ x as y = k.x where k is a constant - the constant of proportionality

So y = kx or x = y/k

using y and x values know, we can solve for k and then solve for any x given y

We have

y = 37.4 =  k (17)

Therefore k = (37.4/17) = 2.2

To find x given y = 13.2, use the second equation
x = y/k = 13.2 / 2.2 =  6

The moment of inertia (I) solved for, from the angular kinetic energy formula is I = 2E/w².

Angular kinetic which is also referred to as  rotational energy is simply the kinetic energy due to the rotation of an object.

It is expressed mathematically as;

E = (1/2)Iw²

To solve for I, we first reorder the equation to bring the term containing I to the left side.

E = (1/2)Iw²

(1/2)Iw² = E

Multiply both sides by 2

2 × (1/2)Iw² = 2 × E

Iw² = 2 × E

Iw² = 2E

Now, divide both sides by the question of I.

Iw²/w² = 2E/w²

I = 2E/w²

Therefore, the moment of inertia (I) solved for, from the angular kinetic energy formula is I = 2E/w².

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The next when Randy and Sue will both have music lessons on Monday May 23rd.

First we will list the multiple of 4 and 5 to solve this question and then we will find the common multiple of them because the two activities will happen again in a number divisible by both 4 and 5.

The multiples of 4 are : 4, 8, 12, 16, 20, ...

The multiples of 5 are : 5, 10, 15, 20, ...

Now we got the common multiple which is 20,

So, The common multiple of 4 and 5 is 20.

That means Randy and Sue will both have music lessons on after 20 days from Tuesday May 3rd.

Hence, Randy and Sue will both have music lessons on Monday May 23rd.

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Answer:

Step-by-step explanation:

it is a

Finding the number of problems per week,

So, she solves 25 problems per week.

If we let the number of weeks be x,

[tex]25x \geq 827 \\ \\ x \geq 827/25 \\ \\ \therefore \lceil x \rceil=\boxed{34}[/tex]

Step-by-step explanation:

Moço, vc tá na gringa, não na BR

Answer:

.

Step-by-step explanation:

The following equation represents the elevation change c after s seconds:

                      c = -2.5s

Given,

A mountain climber is moving 2.5 feet per second down a cliff.

Writing an equation to represent the change in elevation after s seconds is necessary.

How do we symbolize ascent and descent?

Elevation denotes upward movement, thus we interpret it as a positive distance

Descent implies a downward motion, thus we interpret it as a negative distance.

Find the rate at which the climber descents.

2.5 ft = 1 second

Find the equation that, in seconds, reflects the descents c.

We have got

2.5 ft = 1 second

So,

s x 2.5 ft = s x 1 seconds

2.5 s ft = s seconds

That means,

We will have a 2.5s distance descending in s seconds.

This can be expressed as an equation:

c = change in elevation

c = - 2.5s

Thus the equation modeling the change in elevation c after s seconds is,

                      c = -2.5s.

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95% is the percentage error in estimating the main height.

So, let the percentage error be x.

Then,

Therefore, the percentage error is 95%.

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Answer:

2 batches:1/4 which is 25 min. so 1 batch would be half of that. So just divide 25 by 2, which would get you 12.5 12 minutes, and 30 seconds. Hope this helped~ is 1/2 because for 2 is 1/4 and for the half of 1/4 is 1/2 and if u add 1/2 and 1/2 it equals 1/4 so the answer is 1/2 Incorrect.

Step-by-step explanation:

you couldn't do this on ur own?

Given the total amount paid off and the interest, the original amount borrowed within the given period of time is $565.00

Simple interest is simply a method to determine the amount of interest charged on a sum at a given rate and for a given period of time.

It can be expressed as;

A = P( 1 + rt )

Given the data in the question;

To determine the initial amount borrowed, plug the given values into the equation and solve for P.

A = P( 1 + rt )

615.85  = P( 1 + ( 0.09 × 1 ) )

615.85  = P( 1 + 0.09 )

615.85  = P( 1.09 )

P = 615.85 / 1.09

P = $565.00

Given the total amount paid off and the interest, the original amount borrowed within the given period of time is $565.00

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Answer: x(-3x+2)

Step-by-step explanation: (f+g)(x) is basically adding the two functions together.

[tex]-3x^{2} + x - 3 + x + 3\\-3x^{2} +2x\\x(-3x+2)[/tex]

Frist step:

Add both functions

Second step:
Combine like terms

Third step:

factor out the x to completely simplify

Answer:

$ 1665 for 53 people to attend

Step-by-step explanation:

75 + 30(53) = 1665  for 53 people in attendance

Answer:

$1,665

Step-by-step explanation:

Side note: The question is quite unclear. In my opinion, the correct question should be - The cost of a school banquet is $75 + 30n, where n is the number of people attending. What is the cost for 53 people?

We know that the value of "n" is the number of people attending at the school banquet. Therefore, if we want to determine the cost of 53 people, we must substitute n = 53.

⇒ $75 + $30n

⇒ $75 + $30(53)                                                     [Substituting n = 53]

⇒ $75 + $1590                                                                [Simplifying]

⇒ $1665                                                                         [Simplifying]

Therefore, the total cost of 53 people attending the school banquet is $1665.

Answer:

y=5

Brainliest, please :)

The pizza heats up an average of 7.50 degrees per minute.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.

The table shown

Time (minutes)        Temperature (degrees Celsius)

4                                          25

6                                          40

8                                          55

Since the pizza was heated at a constant rate, we can model the experiment as a line, where the slope represents how fast the pizza was heated

Slope

m   =  (y2 - y1)/(x2 - x1)

Let

(x1,y1) = (6, 40)

(x2,y2) = (8, 55)

m = (55 - 40) / ( 8 - 6 )

m = 7.5 degrees per minute.

The pizza heats up an average of 7.50 degrees per minute

Therefore, pizza heats up an average of 7.50 degrees per minute.

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