Victor has already taken 4 pages of notes on his own, and he will take 2 pages during each hour of class. Write an equation that shows the relationship between the time in class h and the number of pages p.

Write your answer as an equation with p first, followed by an equals sign

At the age of 53.5136 years, an average man expects to have half his hair left.

Given information:

Starting at the age of 40, an average man loses 5% of his hair every year.

So, at the age of 40 years, an average man will have 95% of total hairs left.

Let t be the number of years after the age of 40 years.

So, the value of t so that the man will have 50% of hairs left can be calculated as,

[tex]50\%=(1-5\%)^t\\0.5=(1-0.05)^t\\0.5=0.95^t\\log0.5=t\rm \;log0.95\\\it t=\rm 13.5136[/tex]

So, the age of the man with 50% hairs left will be 40+13.5136=53.5136 years.

Therefore, at the age of 53.5136 years, an average man expects to have half his hair left.

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Answer:

84,500

Step-by-step explanation:

8.45*10^4

8.45 * (10*10*10*10)

8.45 * 10000

84500

the decimal place moves to the right for however many zeros you have :)

i hope this helps :)

The painter would take 25 days to paint 50 pairs of windows, given that he can paint 20 windows in 5 days.

To solve this problem, we first need to find out how many windows are in 50 pairs of windows.

Since each pair consists of 2 windows, 50 pairs would mean 50 x 2 = 100 windows.

Now, if the painter can paint 20 windows in 5 days, we can find out how many days it would take him to paint 100 windows using a proportion:

20 windows ------- 5 days

100 windows ------ x days

We can set up the proportion:

20/5 = 100/x

Now, cross multiply:

20x = 5 x 100

20x = 500

Now, divide both sides by 20 to solve for x:

x = 500 / 20

x = 25

So, it would take the painter 25 days to paint 50 pairs of windows.

Complete Question:

A painter can paint 20 windows in 5 days.If he has to paint 50 pair of windows,how many much time will he take to paint them?​

Answer:

Step-by-step explanation:

The first function is

[tex]f(x)=2x^{2} -8x+1[/tex]

The second function is

x   g(x)

-2    2

-1    -3

0     2

1     17

The vertex has coordinates of [tex]V(h,k)[/tex], where [tex]h=-\frac{b}{2a}[/tex] and [tex]k=f(h)[/tex].

Let's find the vertex for the first function where [tex]a=2[/tex] and [tex]b=-8[/tex].

[tex]h=-\frac{-8}{2(2)}=2[/tex]

[tex]k=f(2)=2(2)^{2} -8(2)+1=8-16+1=-8+1=-7[/tex]

Therefore, the vertex of the first function is at [tex](2,-7)[/tex].

Now, the minimum value of the second function can be deducted from its table, which is [tex](-1,-3)[/tex].

Therefore, [tex]f(x)[/tex] has -7 as minimum value and [tex]g(x)[/tex] has -3 as minimum vale.

So, the right answer is B, because -7 is less than -3.

It takes 10.5 minutes for both the computers to do the work by working together

What is a Fraction?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator.

Given data ,

The time for which the slower computer can send all the mails = 35 minutes

The time for which the faster computer can send all the mails = 15 minutes

So ,

The slower computer can complete the work in = 1 / 35 min

The faster computer can complete the work in = 1 / 15 min

Let the total work done by both computers together be = W

The total work completed when both the computers work together is 1 / W =
The work completed by slower computer + The work completed by slower computer

The total work completed when both the computers work together 1 / W =
1 / 35 +  1 / 15

And ,

1 / W = 1 / 35 +  1 / 15

1 / W = 10 / 105

Taking reciprocals , we get

W = 105 / 10

W = 10.5 minutes

Hence , The time taken by both the computers to do the work together is 10.5 minutes

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Final answer:

To find the combined time for two computers to complete a job, calculate their work rates individually and add them up.

Explanation:

To solve this problem, we can use the concept of work rates.

Calculate the work rate of each computer:

Slower computer's work rate = 1 job / 35 minutes = 1/35 job per minute

Faster computer's work rate = 1 job / 15 minutes = 1/15 job per minute

When both computers work together:

Total work rate = 1/35 + 1/15 = 5/105 + 7/105 = 12/105 jobs per minute

Calculating the time taken:

Time taken = 1 job / Total work rate = 105 / 12 = 8.75 minutes

Therefore, both computers working together will complete the job in 8.75 minutes.

Answer:

Step 1: −8x2−15x+2

Step 2: (−8x+1)(x+2)

Step 3: Say thank you

The factors of quadratic equation are : (8x -1) and (x + 2)

Given ,

-8x² -15x + 2 =​ 0

Now,

Firstly multiply the equation with -1 to make the coefficient of x² positive .

8x² + 15x -2 = 0

Now taking the factors,

8x² + 16x - 1x -2 = 0

8x(x + 2) -1 (x + 2) = 0

(8x -1) (x + 2) = 0

Thus,

The factors are (8x -1) and (x + 2).

The values of x are 1/8 and -2 .

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Answer: he should have 348 cars and 173 trucks.

Step-by-step explanation:

Let x represent the number of cars that he should have.

Let y represent the number of trucks that he should have.

He has room on his lot for 521 vehicles. It means that

x + y = 521- - - - -- - - - -1

Ramon has 175 more more cars than trucks. It means that

x = y + 175

Substituting x = y + 175 into equation 1, it becomes

y + 175 + y = 521

2y = 521 - 175 = 346

y = 346/2

y = 173

x = y + 175 = 173 + 175

x = 348

To determine the number of cars and trucks on Ramon's lot, two equations were formed: T + C = 521 and C = T + 175. Solving these equations simultaneously, it was found that Ramon should have 173 trucks and 348 cars.

Ramon's Car and Truck Problem

Let us define the number of trucks Ramon has as T and the number of cars as C. According to the problem, Ramon has room for 521 vehicles on his lot. The problem states that Ramon has 175 more cars than trucks, so we can express this as C = T + 175.

We know the total number of vehicles Ramon can have is 521, which leads us to the following equation: T + C = 521. Substituting the first equation into the second, we get T + (T + 175) = 521. Simplifying, 2T + 175 = 521. Subtracting 175 from both sides, 2T = 346. Dividing by 2, we find that T = 173. This means Ramon has 173 trucks on his lot.

Now, we substitute the value of T back into the equation for C: C = 173 + 175, which equals 348. So, Ramon should have 348 cars and 173 trucks on his lot.

Answer:

Its A.

Step-by-step explanation:

Answer:

[tex]P= 26\text{ inches}[/tex]

Step-by-step explanation:

We are given the following in the question:

Dimensions of rectangle:

Length of rectangle,l = 9 inches

Width of rectangle, w = 4 inches

Perimeter of rectangle =

[tex]P= 2l + 2w[/tex]

Putting values, we get,

[tex]P= 2(9) + 2(4)\\P= (18) + (8)\\P= 26\text{ inches}[/tex]

Thus, the perimeter of rectangle is 26 inches.

Answer:

middle square top row =9 middle row left square= 7   middle row right square=3 bottom row left square =6 bottom row middle square 1

Step-by-step explanation:

every row = 15 so just start with the rows and columns that only need one square until you've filled it in enough that every row needs one and the solve from there

A magic square consists of a grid of numbers where each row, column, and diagonal add up to the same total. For a 3x3 magic square using numbers 1 through 9, this total is 15. Possible solutions include the rotations of the groupings 9, 5, 1 and 6, 2, 7.

A magic square is a grid of numbers where the values in each row, column, and diagonal add up to the same total. The key to solving such a puzzle is understanding that total. Since we are using the numbers 1 through 9, the total sum of these numbers is 45; because there are 3 rows (or columns or diagonals) in a 3x3 grid, each must add up to 15.

The only way to get 15 with three numbers in the 1-9 range is to either group 9, 5, and 1 or their rotations (such as 5, 1, 9 or 1, 9, 5) or use 6, 2, and 7 or their rotations. This leads to the following magic square:

8 1 6

3 5 7

4 9 2

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Answer:

1300π

Step-by-step explanation:

The volume of a cylinder is

V = Area of base * height

The base is a circle, so its area is

A = πr^2

The radius is half the diameter: 20/2 = 10 ft.

A = π10^2 = 100π

Plug this back into the volume formula:

V = 100π * height

   = 100π * 13

   = 1300π ft

Answer:

18 s

Step-by-step explanation:

We are given that

Distance between Bob and John=450 feet

Speed of Bob=11ft/s

Speed of John=14 ft/s

We have to find the time after they will meet when they are travel towards to each other.

Total distance traveled by Bob and John in 1 s=11+14=25 ft

25ft covered by Bob and John in 1 s

1 ft covered by Bob and John in [tex]\frac{1}{25}s[/tex]

450 ft covered by Bob and John  in [tex]\frac{1}{25}\times 450=18 s[/tex]

Hence, they will meet after 18 s.

Answer:

18 seconds

Step-by-step explanation:

450 divided by 11+14=18

Answer:3747

Step-by-step explanation:

The slope of the linear function y=0.08x+8.95 is 0.08, indicating the cost increases by $0.08 per minute. The y-intercept is 8.95, representing the monthly flat fee of $8.95 when no calls are made.

The linear function given is y=0.08x+8.95, where y represents the monthly cost in dollars and x represents the number of minutes called in a month. In this equation, the slope is 0.08 and it represents the rate at which the cost increases per minute of call time. The y-intercept is 8.95, which is the base cost of the service when no minutes have been used.

The interpretation of the slope is as follows: for each additional minute of call time, the cost increases by $0.08. The interpretation of the y-intercept is that even if no calls are made in a month, the service will still cost $8.95, reflecting a flat monthly fee.

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Answer:

397

Explanation: 9+7 =16 and 3 is odd

Answer:

397

Step-by-step explanation:

379 or 397 with fit the criteria

Answer:

The cost for this appliance is $0.02604

Step-by-step explanation:

In order to solve this problem we need to apply the appliance's values to the provided formula as shown bellow:

cost = {[w*(m/60)]/1000}*c

cost = {[500*(25/60)]/1000}*0.125

cost = {[12500/60]/1000}*0.125

cost = {208.4/1000}*0.125

cost = 0.2084*0.125 = 0.02604

The cost for this appliance is $0.02604

Answer:

$1.68

Step-by-step explanation:

If the function modelled for finding the cost of running the appliance for m minutes is given by the formula (w(m/60))/1000 c, and the following datas are given:

W = 500watts

m = 25minutes

c = cost per kWhr = $0.125

Cost of running an appliance that requires 500 watts for 25 minutes at a cost of $0.125 per kWh will be gotten by substituting the given data in the modelled function.

C= {500(25/60)}/1000 (0.125)

C =(500×0.42)/125

C = 210/125

C = $1.68

The cost of running the appliance will be $1.68

Answer:

Hanna donated b/50 books

Step-by-step explanation:

In this problem, we have:

n = 150 number of students at Hanna's school

b = ? number of total books donated by the students

Also, Hannah has donated 3 times as many as the average number of books each student donated.

The average number of books each student donated can be written as:

[tex]\frac{b}{150}[/tex]

And calling

h = number of books donated by Hannah

This means that

[tex]h=3(\frac{b}{150})[/tex]

Simplifying, this can be rewritten as

[tex]h=\frac{b}{50}[/tex]

Answer:

b/50

Step-by-step explanation:

Answer:

p=0.1971

Step-by-step explanation:

-Let X be the normally distributed random variable with mean=1050kWh and standard deviation=218kWh.

-We use the z-test to test for the probability of mean consumption being between 1100kWh and 1225kWh as:

[tex]P(1100<X<1225)=P(\frac{1100-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{1225-\mu}{\sigma})\\\\=P(\frac{1100-1050}{218}<Z<\frac{1225-1050}{218})\\\\=P(0.2294<Z<0.8028)\\\\=P(Z<0.8028)-P(Z<0.2994)\\\\=0.7881-0.5910\\\\=0.1971[/tex]

Hence, the probability of mean consumption being between 1100 and 1225kWh is 0.1971

Answer:

See below where I explain line by line.

Step-by-step explanation:

If two lines are parallel, their slopes are equal.

Look at line 1: Both lines have slope 1/2. Since both slopes are 1/2, the slopes are equal, and the lines are parallel.

Look at line 7: slope 4/8, slope 1/2. Reduce 4/8. It reduces to 1/2. Both lines have slope 1/2. The lines have equal slopes, so they are parallel.

If two lines are perpendicular, then their slopes are opposite reciprocals. Reciprocals are two numbers that when when written as a fraction, when you flip one, you get the other. For example, 4/5 and 5/4. They are reciprocals because is you flip 4/5, you get 5/4. For two lines to be perpendicular, their slopes need to be reciprocals and opposites. That means their signs must be different (one positive and one negative) in addition to being reciprocals. For example, two lines with slope 5/8 and -8/5 are perpendicular since the slopes are both reciprocals and opposites.

Look at line 2: -2/3 and 3/2. If you flip -2/3, you get -3/2. The opposite of -3/2 is 3/2. That means each slope is the opposite reciprocal of the other, so they are perpendicular.

Line 5: slope 4, slope -1/4. Write 4 as a fraction. Now you have 4/1. Flip 4/1 to get 1/4. Then make it the opposite, -1/4. The second line does have slope -1/4, so they are perpendicular.

Line 6: slope -1/6, slope 6. Flip -1/6. You get -6/1. Find its opposite: 6/1. 6/1 is the same as 6. That means that -1/6 and 6 are opposite reciprocals and the lines are perpendicular.

Lines that are neither parallel nor perpendicular.

Look at line 3: 5/2 and 2/5. If you flip 5/2, you get 2/5. The slopes are reciprocals, but they are not opposites since they are both positive. The lines are not perpendicular. Also 5/2 is not equal to 2/5, so the lines are not parallel either.

Look at line 4: slope -3; slope -1/3. Start with -3. Write it as a fraction: -3/1. Now flip it: -1/3. Now find its opposite: 1/3. If the slopes were -3 and 1/3, the lines would be perpendicular because they'd be reciprocal and opposite. The second slope is -1/3, not 1/3, so they are not opposite, and the lines are not perpendicular. Also, -3 and -1/3 are not equal, so the lines are also not parallel.

Answer:

B. 106.2

Step-by-step explanation:

We have been given that at 7 am you drink a 12-ounce cup of coffee which has 140 mg of caffeine. The liver metabolizes caffeine at a rate of 12.9% per hour. We are asked to find the milligrams of caffeine left in your body after 2 hours.

We will use exponential decay formula to solve our given problem.

[tex]y=a\cdot (1-r)^x[/tex], where,

y = Final value,

a = Initial value,

r = Decay rate in decimal form,

x = Time.

Let us convert 12.9% in decimal form.

[tex]12.9\%=\frac{12.9}{100}=0.129[/tex]

Initial value is 140 mg.

[tex]y=140\cdot (1-0.129)^x[/tex]

[tex]y=140\cdot (0.871)^x[/tex]

Now we will substitute [tex]x=2[/tex] in our equation as:

[tex]y=140\cdot (0.871)^2[/tex]

[tex]y=140\cdot (0.758641)[/tex]

[tex]y=106.20974\approx 106.2[/tex]

Therefore, approximately 106.2 milligrams of caffeine will be in your body after 2 hours.

Assume number =x,

x(2x+5) = 75

=> 2x^2 + 5x -75 = 0

=> 2x^2+ 15x -10x -75 =0

=> x(2x+15)-5(2x+15)=0

=>(x-5)(2x+15)=0

x = 5, or x = -15/2

Answer:

The circumference of a circle is the length of its side, the area is the amount of space within it.

Step-by-step explanation:

Answer:

The circumference of a circle is the length of its side, the area is the amount of space within it.

Have a good day! (:

Answer: 331.5 inches²

Step-by-step explanation:

To solve for the area of a regular octagon, we can use the formula that is shown below:

Area = 1/2 × apothem × perimeter

In this problem, we have been given the following values:

Apothem = 10 inches

Perimeter = 66.3 inches

To solve for the area,

Area = 1/2 × apothem × perimeter

Area = 1/2 × 10 × 66.3

Area = 331.5 inches²

The probability that a randomly selected student drives to school is [tex]\( \frac{2}{45} \)[/tex].

The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. In this case, the number of sophomores who drive to school is 2, and the total number of sophomores is the sum of those who drive, take the bus, and walk: 2 + 25 + 3 = 30. Therefore, the probability for sophomores is [tex]\( \frac{2}{30} \)[/tex]. Similarly, for juniors, it is [tex]\( \frac{13}{35} \)[/tex], and for seniors, it is [tex]\( \frac{25}{35} \)[/tex]. To find the overall probability, we take the weighted average:

P(driver to school) = [tex]\frac{\text{(Number of sophomores)} \times P(\text{sophomores}) + \text{(Number of juniors)} \times P(\text{juniors}) + \text{(Number of seniors)} \times P(\text{seniors})}{\text{Total number of students}}[/tex]

[tex]\[ P(\text{driver to school}) = \frac{2 \times \frac{2}{30} + 13 \times \frac{13}{35} + 25 \times \frac{25}{35}}{30 + 35 + 35} \][/tex]

After calculating, the final answer is [tex]\( \frac{2}{45} \)[/tex], representing the probability that a randomly selected student drives to school. This approach considers the distribution of students across different grades, giving a more accurate representation of the overall likelihood.

Answer:

1.3 x 3.14 x 3 x 3 x 3 = 27 x 1.3 x 3.14 = 113.04

formula is 4/3 x pi x radius to the power of three

Step-by-step explanation:

I may have used google...

Answer:

It's 113.04 in. 3

Step-by-step explanation:

I used the formula from the person on top, credits to them ^^

Answer:

470(32 - n)

Step-by-step explanation:

Here are the given:

> 32 volunteers

> n volunteers who didn't donate

> 470 mL each

So your expression is: 470(32 - n).

Why?

Subtract the 32 volunteers who want to donate blood from the volunteers who were not able to donate then multiply it by 470.

Hope this helps!

Answer:

add 1/2x to both sides

multiply both sides by 6/7

Answer: Add 1/2x to both sides.

Multiply both sides by 6/7.

Step-by-step explanation: credit to the person above or below me

Answer:

2% or less likely

Step-by-step explanation:

Answer: 83 inches

Step-by-step explanation:

1 foot = 12 inches

In the mane, she used 6 feet of ribbon. 6×12 = 72 inches

 She used an additional 11 inches of ribbon around her front right leg

Altogether she use 72 + 11 = 83 inches

Answer:

6  = white marbles

4  = black marbles

10 =  total marbles

6/10 - Pulling white marbles

4/10 - Pulling black marbles

10 - 4 = 6

2/6 - Pulling two white marbles

I hope this helped!

The probability of drawing a white marble on the first draw after following the second draw of white marble should be 0.33.

Given that

Now based on the above information

Put white marbles be [tex]\frac{6}{10}[/tex]

And, black marbles be [tex]\frac{4}{10}[/tex]

So,

= 10 - 4

= 6

Now pull two white marbles i.e.

[tex]= \frac{2}{6} \\\\= \frac{1}{3}\\\\= 33\%\ or\ 0.33[/tex]

Therefore we can conclude that The probability of drawing a white marble on the first draw after following the second draw of white marble should be 0.33.

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