Mathematics College

if you laid 9 bolts end-to-end that each measure seven eighths of an inch, how long would that row of bolts be?

Answers

Answer 1
That's easy, the answer is 7.875

Related Questions

Jaimie purchased a condo at naples Florida for 699000. She put 20 % down and financed the rest at 5% for 35 yrs what are Jaime total finance charges

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Asked and answered elsewhere.
https://brainly.com/question/10177253

Finance charges are about $626,128.20.

Eya is 7 less than threee times bills age.if eya is 17 how old is bill

Answers

(17+7)(3)=x (bills age)
24(3)=x
x=72
bill is 72
Hello!

We do the opposite than what is says in the problem

Eya is 7 less than three times bills age

We add 7 to Eya age

17 + 7 = 24

It says three times bills age so we divide by 3

24 / 3 = 8

Bill is 8

Hope this helps!

hello can you please help me posted picture of question

Answers

There are 4 seats in total.

There are 4 ways to fill 1st seat.
When 1st seat is filled, there will be 3 ways to fill the second seat.
Similarly there will be 2 ways to fill the third seat and 1 way to fill the last seat.

So, total number of ways the seats can be filled = 4 x 3 x 2 x 1 = 24 ways.

Therefore, the correct answer is option A

Given log4(3) =0.7925 and log4(5) =1.1610, use log properties to find log4(240).

Answers

[tex]\log_{4}(240)=\log_{4}(3 \cdot 4^{2} \cdot 5) = \log_{4}(3) +\log_{4}(4^{2}) +\log_{4}(5) = 0.7925 +2 +1.1610 = 3.9535[/tex]

[tex]\log_{4}(240) \approx 3.9535[/tex]

Simplify the expression 6sqrt2/sqrt3

Answers

The answer would be 2√​6 and in decimal form 4.898979, I hope this helps!
Hello!

First you factor the 6

[tex] \frac{2 * 3 \sqrt{2} }{ \sqrt{3} } [/tex]

Simplify

[tex]2 \sqrt{2} * \sqrt{3} [/tex]

Multiply the square roots

[tex]2 \sqrt{6} [/tex]

The answer is [tex]2 \sqrt{6} [/tex]

Hope this helps!

The product of two consecutive even integers is 120. Find the interfere

Answers

the correct question is
The product of two consecutive even integers is 120. Find the integers

let
x-----------> first even integer
x+2-------> second consecutive even integer

we know that
x*(x+2)=120-------> x²+2x-120=0

using a graph tool----> to resolve the second order equation
see the attached figure

the solution is
x=10

therefore
first even integer is 10
second consecutive even integer is (10+2)----> 12

the answer is
10 and 12

A) suppose you will receive $200 in 16 years. how much money in year 6 is equivalent to this amount?

Answers

$200=16
simplify
200/16=12.5
12.5*6=75
Answer = 75

The dot plot shows the number of goals that the Springlane High School soccer team scored per game last season. How many games did the team play?

Answers

Answer:

Step-by-step explanation:

it shows 16 dots but it keeps saying i get it wrong

Answer:

16

Step-by-step explanation:

Plato ( just put 16 nothing extra “

20 POINTS!!!

a point is translated 2 units to the right and five units down on the coordinate plane, how will this affect the x- and y- coordinates of the point?

Answers

Let x start out as x
Let y start out as y

The original point is (x , y)
Start with moving the x 2 units to the right.
To the right means going more positive.
x would become x + 2

down means the value is going in the minus y direction you are subtracting 5 from the original y
y - 5 is what you get.

The answer is
(x + 2, y - 5) <<<<<< answer

You are laying an asphalt driveway. How much area must you cover if the driveway is 21 feet long and 10.5 feet wide?

Answers

we know that

An asphalt driveway has the shape of a rectangle
so
area of rectangle=long*wide
area=21*10.5-----> 220.5 ft²

the answer is
220.5 ft²

the dump truck weighs 18 tons when filled. at the same time the dump truck is being filled, an identical truck filled to capacity is being emptied at a rate of 1/8 ton per minute. how much sad is in each dump truck when the trucks are the same weight

Answers

2.25 tons would be without sand


Answer:2 .25 Tons

Step-by-step explanation:

Weight of truck + sand when filled= 18 tons

Discharge rate per minute= 1/8 tons/ minute

Quantity of sand in the truck will be:

1/8tons per minute×18tons = 9/4 = 2.25tons

1. Ten slips of paper labeled from 1 to 10 are placed in a hat. The first slip of paper is NOT replaced before selecting the second slip of paper. What is the probability of selecting and odd number and then a number greater than 9? 1/2 1/18 6/10 3/25



2. The probability of drawing two white cards without replacement is 14/95, and the probability of drawing one white card is 2/5. What is the probability of drawing a second white card, given that the first card is white? 52/95 7/19 7/38 28/475


3. Kim rolls a 6-sided number cube. What is the probability she rolls a number greater than 3 or a 1? 2/3 1/2 1/12 1/3


Answers

1. If we get an odd number first (probability 5/10 = 1/2), then the only way to get a number greater than 9 is the 10 (probability 1/9, since only 9 papers remain). This gives 1/2 * 1/9 = 1/18.

2. We would expect that P(2 white cards) = P(1 white card)*P(2nd white card given 1 white card).This gives the equation 14/95 = 2/5 * x
Solving for x gives x = 7/19.

3. There are a total of 4 favorable results: 1, 4, 5, 6. Out of the 6 possibilities, this is a probability of 4/6 = 2/3.

Find the area of the circle in terms of Pi

Answers

Let's start with the area of a circle formula: A = pi * r^2, where r is the radius. The radius is half the diameter. Since the diameter here is 6, the radius is 3. Now we can start solving!
1) A = pi* (3^2)
2) A = 9pi
The area in terms of pi is 9pi cm^2.
I got 9pi cm^2, but it is always helpful to double check work. Hope this helps!
The area of the circle: [tex]A=\pi r^2[/tex]

r - the radius

We have the diameter of the circle: d = 6cm.
d = 2r, therefore

2r = 6cm → r = 3cm

Substitute to the formula:

[tex]A=\pi\cdot3^2=9\pi\ cm^2[/tex]

Can someone tell me if I got this answer correct? If not, what is the correct answer?

Answers

replace x with the given value and solve each:

A) 9^2 *9-2 = 81 * 7 =567

B) 2^2 * 2-2 = 4 *0 = 0

C) 4^2 * 4-2 = 16 * 2 = 32

D) 2-2 *2^2 = 0*4 = 0


 the correct answer is D

The landscaper pours 200 gallons of herbicide in a pond. The herbicide degrades 10% each week. The landscaper will put another dose in the pond when the herbicide level drops below 50 gallons. In about how many weeks will he need to add more herbicide?

Answers

The landscaper will need to add more herbicide after approximately 14 weeks, as the level of herbicide will then have degraded from 200 gallons to below the threshold of 50 gallons due to a weekly degradation rate of 10%.

The landscaper pours 200 gallons of herbicide into a pond, and this herbicide degrades at a rate of 10% each week. To find out in how many weeks the herbicide level will drop below 50 gallons, a simple mathematical model that describes exponential decay can be used.

To calculate this, we can use the formula [tex]A = P(1 - r)^n[/tex], where A is the amount of herbicide after n weeks, P is the initial amount of herbicide, and r is the percentage rate of degradation per week.

Starting with 200 gallons and wanting to find when it falls below 50 gallons, we set up the equation 50 = 200(1 - 0.10)^n. Simplifying this yields 50 = 200(0.9)^n. Dividing both sides by 200 gives us 0.25 = (0.9)^n.

To solve for n, we can take the logarithm of both sides. Using the natural logarithm, we get ln(0.25) = n ln(0.9). Then, divide by ln(0.9) to isolate n, giving us n = ln(0.25) / ln(0.9), approximately 13.51.

Since we cannot have a fraction of a week, we round up to the next whole week, thus the landscaper will need to add more herbicide after 14 weeks.

List two school activities that u do in the morning time and afternoon time.write time for these two activities

Answers

1. I complete some of my cyber: 7:00am to 10:00am

2. I spend time doing assignments in votech: 12:00pm to 2:30pm
- arrive at school at 7:00
- go to class at 7:05


-leave class at 3:15
-do homework for 45 minutes
-debate club in the afternoon at 4:00

I am needing help please help me

Answers

The diameter is 50 meters, so the radius = 25 m, and this is the amplitude (the first blank). Since the entrance is at the low point of 4 m above the ground, this is the vertical shift (the last blank). If it takes 6 mins for 3 revolutions, then the period is 6/3 = 2 mins/revolution. The function sin (bt) is calculated as b = 2pi/period = pi, so b = 1. At t = 0, the sin function should be at the minimum, which is normally at sin (3pi/2).
Therefore the complete funciton is:
h(t) = 25sin(pi*t + 3/2*pi) + 4

You roll a 6-sided die.


What is P(prime)? Simplify your answer and write it as a fraction or whole number.

P(prime) =

Answers

Its 1/2 since the prime numbers are 2,3, and 5
3/6 simplifies to 1/2.

A survey questioned 1,000 high school students. the survey revealed that 48% are honor roll students. of those who are honor roll students, 45% play sports in school and 22% of those that are not honor roll students, don't play sports. what is the probability that a high school student selected at random plays sports in school?

Answers

Of the 1000 students surveyed, 48%, or 480, are honor roll students. Of those 480, 45%, or 216, play sports.

Of the remaining 520 non-honor-roll students, 22%, or 114.4 don't play sports. That leaves 405.6 that do.

Thus, of the 1000 students surveyed, 216 +405.6 = 621.6 play sports, for a ratio of 621.6/1000 = 0.6126.

The probability that a randomly chosen student plays sports in school is about 0.6216.

On the assembly line it takes 2 ½ minutes to complete task one, 3 minutes 10 seconds to complete task two and 1 minute to complete the last task to make an item.How many items can be completed in 25 minutes?

Answers

Task 1 ----- [tex]2 \frac{1}{2} [/tex]minutes
Task 2 ----- 3 min 10 sec = 3+10/60 = [tex] 3\frac{1}{6} [/tex] minutes
Task 3 ----- 1 min
Total time to make 1 item = [tex]2 \frac{1}{2} [/tex] + [tex]3 \frac{1}{6} [/tex] +1 = [tex]6 \frac{2}{3} [/tex]minutes

In 25 minutes;

Number of items made = 25/(6 2/3) = 3.75 items = 3 items (since only a fully assembly can be regarded as an item).

In order to have 1 million dollars in 40 years with an annual interest rate of 11.6%, I will have to invest $_ (round to the nearest 1000) a 12,000 b 13,000 c 14,000 d 15,000

A.) 12,000

B.) 13,000

C.) 14,000

D.) 15,000

Answers

To solve the problem we use the compound formula given by:
A=p(1+r/100)^n
where:
A=future amount:
p=principle
r=rate
A=1000000, r=11.6%, n=40
plugging the value in the formula we get:
1000000=p(1+11.6/100)^40
solving for p we get:
1000000=80.6432p
p=12400.300
rounding to the nearest 1000 we get
p=$12000
Answer: 
A.) 12,000

Mason earns $70,000 per year and puts 7% of his earnings into a savings account. What is the total amount in Mason's account after 1 year if the interest rate is 3%?
 A. $147
B. $72,100
C. $5,047
 D. $2,100

Answers

The answer is B. $5,047.

Annual income of Mason is 70,000 dollars.

He saves 7% of his annual earnings into a saving account.

So, his savings would be 7% of 70,000 = 0.07 x 70,000 = 4,900 dollars.

The saving account gives an interest rate of 3% per annum.

So the interest accrued on 4900 dollars over the year would be 3% of 4,900 = 0.03 x 4,900 = 147 dollars.  

Total amount in the saving account would be sum of principal amount and interest accrued.

Total balance = principal amount + interest accrued.

Total balance = 4900 + 147 = 5,047 dollars.

Hence, option C is correct i.e. 5,047 dollars.

1.
Find the amount of the annuity.

Amount of Each Deposit: $6,200

Deposited: Semiannually

Rate per Year: 6%

Number of Years: 5

Type of Annuity: Ordinary


$79,408.36

$81,720.90

$71,076.06

$73,208.36

Answers

To solve this we are going to use the future value of annuity ordinary formula: [tex]FV=P[ \frac{(1+ \frac{r}{n} )^{kt} -1}{ \frac{r}{n} } ][/tex]
where
[tex]FV[/tex] is the future value
[tex]P[/tex] is the periodic payment
[tex]r[/tex] is the interest rate in decimal form
[tex]n[/tex] is the number of times the interest is compounded per year
[tex]k[/tex] is the number of payments per year
[tex]t[/tex] is the number of years

We know for our problem that [tex]P=6200[/tex] and [tex]t=5[/tex]. To convert the interest rate to decimal form, we are going to divide the rate by 100%:
[tex]r= \frac{6}{100} =0.06[/tex]
Since the deposit is made semiannually, it is made 2 times per year, so [tex]k=2[/tex].
Since the type of the annuity is ordinary, payments are made at the end of each period, and we know that we have 2 periods, so [tex]n=2[/tex].
Lets replace the values in our formula:

[tex]FV=P[ \frac{(1+ \frac{r}{n} )^{kt} -1}{ \frac{r}{n} } ][/tex]
[tex]FV=6200[ \frac{(1+ \frac{0.06}{2} )^{(2)(5)} -1}{ \frac{0.06}{2} } ][/tex]
[tex]FV=71076.06[/tex]

We can conclude that the correct answer is $71,076.06

Which graph represents the function f(x)=1/x+3-2

Answers

files are attached below

Answer:

The graph as shown below.

Step-by-step explanation:

Given : The function [tex]f(x)=\frac{1}{x-3}-2[/tex]

We have to plot the graph for the given function   [tex]f(x)=\frac{1}{x-3}-2[/tex]  

Consider the given function [tex]f(x)=\frac{1}{x-3}-2[/tex]

Domain of function [tex]f(x)=\frac{1}{x-3}-2[/tex]

DOMAIN is set of input values for which the function is real and has defined values.        

So, The given function is undefined at x = 3

So, Domain is [tex]x<3\quad \mathrm{or}\quad \:x>3[/tex]

RANGE is the set of values of dependent variable  for which the function is defined.

Inverse of given function is  [tex]y=\frac{3x+7}{x+2}[/tex]

Now, domain of inverse function is [tex]f\left(x\right)<-2\quad \mathrm{or}\quad \:f\left(x\right)>-2[/tex]

Now, x intercept and y- intercepts

x intercept where y = 0 and y- intercept where x= 0

Let f(x) = y

Then [tex]y=\frac{1}{x-3}-2[/tex]

Put x = 0

thus y- intercept is [tex]\left(0,\:-\frac{7}{3}\right)[/tex]

Now put y = 0

Then  x- intercept is [tex]\left(\frac{7}{2},\:0\right)[/tex]

Now, Calculate the vertical and horizontal asymptotes,

Vertical asymptotes,

Go over every undefined point and check if at least one of the following statements is satisfied.

[tex]\lim _{x\to a^-}f\left(x\right)=\pm \infty[/tex]

[tex]\lim _{x\to a^+}f\left(x\right)=\pm \infty[/tex]

Thus, The vertical asymptotes is x = 3

And For horizontal asymptotes,

[tex]\mathrm{Check\:if\:at\:}x\to \pm \infty \mathrm{\:the\:function\:}y=\frac{1}{x-3}-2\mathrm{\:behaves\:as\:a\:line,\:}y=mx+b[/tex]

We have y = -2 as horizontal asymptotes.

Plot we get the graph as shown below.

"suppose that it is decided to reject the null hypothesis if the sample mean time lag is less than 18.5 days. what is the probability of type i error if the population mean time lag is 20 days?"

Answers

answer : 17
.......... .

Answer:

17

Step-by-step explanation:


Q # 11 write the rule for the linear

Answers

The generic equation of the line is:
 y-yo = m (x-xo)
 Where,
 m = (y2-y1) / (x2-x1)
 m = (0-1) / (4-3)
 m = (- 1) / (1)
 m = -1
 We choose an ordered pair:
 (xo, yo) = (4, 0)
 Substituting:
 y-0 = -1 (x-4)
 y = -x + 4
 Answer:
 y = -x + 4
 option 3

Anybody know how to figure this one?

Answers

The formula for the volume of a cone is useful for this.
  V = (1/3)π × r² × h

Substituting the given information, you have
   V = (1/3)×3.14×(2 in)²×(18.3 in)
   V ≈ 76.616 in³

Your best choice is ...
   C. 76.62 cubic inches

How do I answer this dot plot?

Answers

It would seem the problem requires you compute the mean, median, and standard deviation of each of the data sets. This is nicely done using the statistics functions of your graphing calculator.

Data Set A (mean, median, standard deviation) = (29.7, 29.5, √12.71)
Data Set B (mean, median, standard deviation) = (27.95, 27, √6.1475)

1. False. Data Set B is skewed to the right.
2. TRUE. 27.95 is within 3 of 29.7.
3. False. √12.71 ≠ √6.1475
4. False. The mean of Data Set A is 29.7.
5. False. Data Set A has the higher standard deviation.
6. TRUE. 29.7 is close to 29.5.

The true statements are
• the 2nd one
• the 6th one

Solve the system of equations. -6y+11x = -36
-4y+7x=-24 ​−6y+11x=−36 −4y+7x=−24 ​ x= y=

Answers

If you divide the first equation by -6 and the second by -4, you have ...
  y -(11/6)x = 6
  y -(7/4)x = 6
Subtracting one of these from the other tells you x=0, so you know immediately that y=6.

The solution is ...
  x = 0
  y = 6

The solution to the system of equations is:

x = 0

y = 6

To solve the system of equations:

-6y + 11x = -36

-4y + 7x = -24

You can use the method of substitution or elimination. I'll use the elimination method here.

First, multiply the second equation by 3 to make the coefficients of y in both equations equal:

-6y + 11x = -36

-12y + 21x = -72

Now, you can subtract the first equation from the second equation to eliminate x:

(-12y + 21x) - (-6y + 11x) = (-72) - (-36)

Simplify:

-12y + 21x + 6y - 11x = -72 + 36

Combine like terms:

-6y + 10x = -36

Now, divide both sides by 2 to simplify:

(-6y + 10x) / 2 = (-36) / 2

-3y + 5x = -18

Now you have a simplified system of equations:

-6y + 11x = -36

-3y + 5x = -18

You can solve this system using either the substitution or elimination method. Let's use the elimination method again. Multiply the second equation by 2 to make the coefficients of x equal:

-6y + 11x = -36

-6y + 10x = -36

Now, subtract the first equation from the second equation:

(-6y + 10x) - (-6y + 11x) = (-36) - (-36)

Simplify:

-6y + 10x + 6y - 11x = -36 + 36

Combine like terms:

-1x = 0

Now, solve for x:

x = 0

Now that you know the value of x, you can substitute it into one of the original equations to find the value of y. Let's use the first equation:

-6y + 11x = -36

-6y + 11(0) = -36

Simplify:

-6y = -36

Now, solve for y:

y = (-36) / (-6)

y = 6

for such more question on system of equations

https://brainly.com/question/12526075

#SPJ2

Please help !!!!!!!!

Answers

f(x) = 1/2x +4
replace f(x) with y
y = 1/2x+4

switch x and y
x = 1/2y +4

solve for y

multiply both sides by 2
2x = y+8

subtract 8 from both sides
2x-8 = y

rewrite with y on the left side: y = 2x-8

replace y with f(x)^-1 (inverse notation)
f(x)^-1 = 2x-8

solve for f^-1(4)
 replace x with 4 in the equation and solve:
2(4) -8 = 8-8 = 0



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