Mathematics Middle School

Choose the constant term that completes the perfect square trinomial.
X^2 + 1/3x

Answers

Answer 1
To complete the perfect square trinomial, you have to do (b/2)^2, which in this case is ((1/3)/2)^2. 1/3 divided by 2 gives you 1/6 and then (1/6)^2 is 1/36. So 1/36 is the constant term. This, the complete trinomial is now x^2 + 1/3x + 1/36

Just remember that anytime you need to complete a perfect square trinomial, use the expression (b/2)^2
Answer 2

1/36 is the answer

to ur problem

(^_>*)

Related Questions

Please help me D: I just took 20 points away from me

Answers

For number one please do the following....
you will cut the figure into six shapes. You will have two (4 by 3) squares and four (4 by 1 divided by 2) triangles.
Next, you multiply 4 by 3 and get 12 then multiply again and add both of the area of the two squares. the area for the squares is 24 in total.
finally, you will see that the four half figures left make two full figures. then you can multiply 4 times 1 and get 4 . add 4 plus 4 and get 8. 
the area of the figure as a whole is 24 plus 8 which is 36.

For number two please do the following...
you will multiply the length times the width which in this case is 14 times 32
the area for the parallelogram is 448.

For number three please do the following...
you will do something similar to number one
you can try this by yourself. :)

For number four please do the following....
you will multiply 11 times 20
the area of the big triangle is 220
then all you need to do is find the area of the smaller triangle and add both triangles together. 

Density is equal to mass divided by volume. The mass of a metal is 10.34 g. Its volume is 1.83 ml. Calculate its density. Use the proper number of significant figures.

Answers

Density = 10.34/1.83

Density = 5.65027

Significant figures is based on the lowest digit that was divided, which is to the hundredth unit.

In conclusion, the density is 5.65 g/ml^3

Answer: 5.65 g/ml

Step-by-step explanation:

The density of a substance is given by :-

[tex]\text{Density}=\dfrac{\text{Mass}}{\text{Volume}}[/tex]

Given : The mass of a metal is 10.34 g. Its volume is 1.83 ml.

Then, the density of substance will be :-

[tex]\text{Density}=\dfrac{10.34\ g}{1.83\ ml}\\\\\Rightarrow\ \text{Density}= 5.65027322404\ g/ml[/tex]

Since , the significant figures depend on the dividend .

Here the dividend (10.34) is hundredth unit.

Then, the [tex]\text{Density}== 5.65027322404\approx5.65\ g/ml[/tex]

if you forget to bring the book back to the library, you will pay a fine. is this a negation, conjunction, disjuntion, conditional or biconditional?

Answers

I believe it is a conjunction

The sentence is a conditional statement where the payment of a fine depends on forgetting to return the book. Hence the correct option is Option 4 , conditional

The sentence 'if you forget to bring the book back to the library, you will pay a fine' is a conditional statement. In logic and English grammar, a conditional statement is one where the outcome (the consequent) depends on a certain condition (the antecedent). Here, the antecedent is 'if you forget to bring the book back to the library', and the consequent is 'you will pay a fine'. The structure of this sentence follows the 'if (condition), then (result)' pattern typical of standard conditionals.

For example:

If it rains, the picnic will be canceled.If you study hard, you will pass the exam.

In both examples and the original sentence, the outcome is contingent on the condition being met, which is the hallmark of a conditional statement.

A machine factory produces 2 parts per second. One shift is 10 hours long. What is the production rate in parts per shift? Enter your answer in the box. parts per shift

Answers

2 parts per second so 2 x 60 = 120 parts per minute

120*60 = 7200 parts per hour

7200 x 10 = 72,000 parts per 10 hour shift


72,000 is the answer to your question. Good luck!

I really don't understand this absolute value. please help

Answers

Dang what kinda math they teaching you! that makes no sense! ill try and help though
Let the number = x
then (10-x) = 2(x-1)
10-x=2x-2
3x=12
x = 4

Is 13/16 rational or irrational

Answers

This is rational because 13/16 can be expressed as a fraction, in fact, it is a fraction, so it;s rational
Final answer:

The number 13/16 is a rational number because it can be expressed as a ratio of two integers.

Explanation:

The number 13/16 is a rational number. A rational number is any number that can be expressed as a ratio of two integers, where the denominator (the number below the division line) is not zero. In this case, the number 13/16 can be expressed as a ratio of two integers: 13 and 16. Therefore, 13/16 is considered to be a rational number, not an irrational number. In contrast, an irrational number cannot be stated as a ratio of two integers. Examples of irrational numbers include the square root of two and pi.

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1.3 puzzle time what happens when a frog double- parks on a lily pad

Answers

The answer is it‘s toad away.

The following are the values of each number:

5 – Infinitely many solutions


7 – 30


3 – 54


11 – 42


2 – no solution


10 – 35


4 - -0.64


8 - -18.4


9 – 3


1 – 12


7 – 72

see attached file for the chart of the values.

A pizza bot travels at an average rate of 4 mph it is sent on a delivery toy house 1.5 miles away how long will it take the bot to make the delivery every time back to the restaurant

Answers

In this case, the pizza bot is doing delivery which means it will go to the destination and going back. So, the total distance traveled should be 2x of distance to the delivery target. Then the time needed for the bot to back to the restaurant would be:

Time needed= distance traveled / average velocity= 2*1.5mi / 4mph= 0.75 hour= 45 minutes
Final answer:

The pizza bot will take approximately 22.5 minutes to make the delivery and return to the restaurant.

Explanation:

To calculate the time it will take the pizza bot to make the delivery and return to the restaurant, we can use the formula:

Time = Distance / Speed

In this case, the distance is 1.5 miles (one way), and the speed is 4 mph. So, the time it will take for the pizza bot to make the delivery and return to the restaurant is:


 Time = 1.5 miles / 4 mph
 Time = 0.375 hours

Therefore, it will take the pizza bot approximately 0.375 hours, or 22.5 minutes, to make the delivery and return to the restaurant each time.

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what is 6 and 2/3 - 4 and 1/2

Answers

2/3 x 2 = 4/6
1/2 x 3 = 3/6
4/6 - 3/6 = 1/6
6-4 = 2
2 and 1/6
Work: 6 2/3 - 4 1/2
Mix # to improper #
20/3-9/2
Find common denominator
20/3×2/2= 40/6
9/2×3/3=27/6
40/6-26/6= 13/6
Simplify
Answer: 2 1/6
hope that helps :)

Tom drove 130 Miles at the speed of 65 mph, and then 200 more miles at the speed of 30 mph. What was his average speed for the entire trip?

Answers

47.5 mph- because 30+65 equals 95 and 95 divided by 2 is 47.5

The average speed for the entire trip is 38.06 mph

What is Average Speed?

The total distance traveled divided by the total time spent traveling. This will give you your average speed.

                                            S = d₁ + d₂ ... + dₙ / t₁ + t₂... + tₙ

Given data ,

d₁ = 130 miles

d₂ = 200 miles

S₁ = 65 mph

S₂ = 30 mph

t₁ = d₁ / S₁

t₂ = d₂ / S₂

And , t₁ = 130 / 65 = 2 hours

t₂ = 200 / 30 = 6.67 hours

Therefore , Average Speed = Total distance travelled / Total time taken

                                              =d₁ + d₂ / t₁ + t₂

                                              = 330 / 8.67  mph

                                              = 38.06 mph

                   

Hence , the average speed for the entire trip is 38.06 mph

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ricardo lost 6 balls while playing golf.he bought 12 golf balls,then he lost 4 on the course to day.now he has 18 balls.how many golf balls did he have to the begingin

Answers

16 golf balls. Hope this helps
16 balls in the beginning

I need help with #12

Answers

The answer is:  " 1320 ft. " .
______________________________________________
Explanation:
______________________________________________
(1/4) mi =  _?_  ft.

Note:  1 mi. = 5280 ft.  (exact conversion).

(1/4) mi = (1/4)*(5280 ft) = (5280 ft.) ÷ 4 = 1320 ft.
___________________________________________
The answer is:  1320 ft.
___________________________________________
Let's get this straight. mi=Mile in math term

Formula of Mile to Foot: 1mi= 5280 ft

1/4 of a mile (1/4mi) is basically dividing 4 so that you get (1/4mi)=(5280/4ft)

Use a calculator or do it mentally but your end result will be...
1320ft

how is 2.25 written as a fraction

Answers

2.25 as a fraction is 2 1/4
'There is not much that can be done to figure out how to write 2.25 as a fraction, except to literally use what the decimal portion of your number, the .25, means. Since there are 2 digits in 25, the very last digit is the "100th" decimal place. So we can just say that .25 is the same as 25/100.' -Google

So 25/100 is your answer.

Find the values of x and y.

a) x = 20, y = 7
b) x = 10, y = 8
c) x = 50, y = 40
d) x = 10, y = 12

Answers

4x+5x = 90
9x = 90
x = 10

10y + 10 + 5x = 180
10y + 10 +5(10) = 180
10y + 60 = 180
10y = 120
    y = 12

answer
d) x = 10, y = 12
the answer is the letter D, everytime that you see a square between 2 or more angles means that the adition of all the angles is 90

James thinks they could have paddled down the river in 5 days. If they had pushed their limits. How many miles per day would they have had to paddle to finish the trip in 5 days.

Answers

If x=the length of the river in miles and y is how many miles they have already traveled
then they would need to paddle  (x-y)/5

Please help ASAP 15 pts
Write the ratio $12 dollars for 3 tickets as a unit rate.

Answers

$12 dollars / 3 tickets = 4 dollars/ticket

or 4 dollars per ticket.
You would divide 3 from $12 leaving 4 so the answer would be 4:1

what is the slope of the line whose equation is 4y-6x+16=0

Answers

the slope of the line is 3/2

Order the following numbers from least to greatest: 10 to the 5 power, 10 to the -9 power, 10 to the -17 power, 10 to the 14 power, 10 to the -5 power and 10 to the 30 power

Answers

10 to the -9 power = 0.000000001
10 to the -17 power = 0.0000000000000001
10 to the 5th power =1000000
10 to the -14 power = 100000000000000
10 to the 30 power= 1000000000000000000000000000000
Final answer:

To order the numbers, compare the exponents of 10. The higher the exponent, the greater the number.

Explanation:

To order the numbers from least to greatest, we need to understand the concept of integer powers. In this case, the numbers are in the form of 10 raised to a certain power. We can compare the numbers by looking at the exponent of 10. The higher the exponent, the greater the number.

Here is the ordering from least to greatest:

10 to the -17 power10 to the -9 power10 to the -5 power10 to the 5 power10 to the 14 power10 to the 30 power

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What's 7712 divided by 32

Answers

7712 divided by 32 
= 7712/32= 241
First divide by 2 to give
3856/16
Divide again by 2 =
1928/8 and again by 2
964/4 and again by 2 to give 
482/2 and divide by 2 again to give 241

rule and missing number what would it be

Answers

the rule is 72 and the missing number is 280
The rule is: MULTIPLY BY 8 because it is true for every term 

13 × 8 =104
22 × 8 = 176
44 × 8 = 352

So, 36 × 8 = 288

Please help with this question! xx

Answers

Step 1 is to find the cost function for any length of wire in inches. Refer to the table and you can see that...
110 inches cost $6.60 so the point (x,y) = (110, 6.60) is on the line
125 inches cost $7.50 so the point (x,y) = (125, 7.50) is on the line

We only need two points form this line. Let's find the slope
m = (y2-y1)/(x2-x1)
m = (7.50-6.60)/(125-110)
m = 0.90/15
m = 0.06

The slope is 0.06 meaning that each additional inch costs $0.06 (6 cents) extra. 
In other words, the cost is 6 cents per inch.

Plug (x,y) = (110, 6.60) and m = 0.06 into the equation below to solve for b. This will get us the fixed cost
y = mx+b
6.60 = 0.06*110+b
6.60 = 6.60+b
6.60-6.60 = 6.60+b-6.60
0 = b
b = 0

So the fixed cost is 0 which makes sense. If you buy 0 inches of wire (i.e. you don't buy anything) then you don't pay anything.

Therefore the cost function is f(x) = 0.06*x which can be written as y = 0.06*x

------------------------------------------------------------------------

We're told that "Emily needs 23 feet of wire" so we need to convert that feet measurement into inches before we can use the function. The reason why is because x is length in inches (not feet).

23 feet = 23 feet * (12 inches/1 foot) = 23*12 = 276 inches
so in short, 23 feet is equivalent to 276 inches

This means x = 276 and y is...
y = 0.06*x
y = 0.06*276
y = 16.56

Emily will spend 16.56 dollars for her wire.

------------------------------------------------------------------------

Andy needs 14 yards. We'll have to convert from yards to feet
14 yards = 14 yards * (3 feet/1 yard) = 14*3 = 42 feet
14 yards = 42 feet

Then convert that feet measurement to inches
42 feet = 42 feet * (12 inches/1 foot) = 42*12 = 504 inches

So overall,
14 yards = 504 inches

Now we can use the function
y = 0.06*x
y = 0.06*504
y = 30.24

Andy will spend 30.24 dollars for his wire.

Side Note: Andy will spend 13.68 dollars extra compared to Emily (since 30.24-16.56 = 13.68). So Andy spends more. Which makes sense given how Andy needs 504 inches of wire compared to Emily's needs of 276 iches of wire. 


How can I graph and make a table with Y=3 ?

Answers

Use the slope-intercept form to find the slope and y-intercept.

Slope:0
Y-intercept:3

A drilling machine can drill 12 holes in 6 minutes. If the machine drills holes at a constant speed, it can drill ______ holes in 25 minutes. Numerical Answers Expected!

Answers

12 holes in 6 minutes.....12/6 = 2 holes per minute

in 25 minutes...
25 * 2 = 50 holes in 25 minutes <==
So it drills 2 holes per minute. 6x4=24. 12x4=48+2=50 

50 holes is your answer.

Sam's credit card balance is less than -$36 does Sam owe more or less than $36?

Answers

He owes more than $36 because -$36 is the same thing as owing $36 but without the - so if his balance is less than $-36 then he owes more than $36
He owes more than $36 dollars because it says that he owes less than -36 and 36 is already 72 dollars more

The table shows the earnings and the number of hours worked if three employees . Complete the table by finding the missing values . Which employee earned the least per hour ? EXPLAIN.

Answers

1. 3.5 hours
2. $9.50/hr
3. 5.4 hours

Find the value of y if B is between A and C, AB is 2y, BC is 6y, and AC is 48.

a) 6
b) 4
c) 24
d) 8

Answers

AB + BC = AC
2y + 6y = 48
8y = 48
  y = 6

answer
a) 6

The value of y is 6 and this can be determined by using the arithmetic operations and the given data.

Given :

B is between A and CAB is 2y, BC is 6yAC is 48

The following steps can be used in order to determine the value of y:

Step 1 - The arithmetic operations can be used in order to determine the value of y.

Step 2 - According to the given data, B is between A and C.

Step 3 - The mathematical expression of the above expression is:

AC = BC + AB

Step 4 - Now, substitute the value of the known terms in the above expression.

48 = 6y + 2y

Step 5 - Simplify the above expression.

48 = 8y

y = 6

Therefore, the correct option is a).

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Please help me with my math homework! 20 points!

A culture of 1.08×10^15 bacteria is in petri dish A. A culture of 2.7×10^11 bacteria is in petri dish B.

How many times greater is the number of bacteria in petri dish A than petri dish B?

Enter your answer, in standard notation, in the box.

Answers

To find the number of times the bacteria in petri dish A than petri dish B, let us divide.

So, number of times = [tex]\frac{Number of times bacteria in petri dish A}{Number of times bacteria in petri dish B}[/tex]

[tex]= \frac{1.08(10^{15} )}{2.7(10^{11} )}[/tex]

= 0.4 × [tex]10^{4}[/tex]

= 4000

Hence, the number of bacteria in petri dish A is 4000 times the number of bacteria in petri dish B.

If 15.9 out of every 100 pregnant women in Georgia deliver their babies by C-section, how many pregnant women out of 25,250 would be expected to deliver by C-section?

Answers

15.9/100 pregnant women = x/25,250 pregnant women. 
15.9 times 25,250 = 401475 divided by 100 = 4014.75 
Answer = 4015 would be expected to deliver by C-section.
P(C-section) = 15.9% or 0.159

Expected number of C-Section out of 25,250:

0.159 x 25,250 = 4,015 Women

Cole said that 555 rounded to the nearest ten is 600. What is Cole's error? explain.

Answers

He rounded it to the nearest hundred, not ten. Ten would be 560.

Hope this helps!

14+3n=8n-3(n-4) foes this have an answer, no, or infinite solution

Answers

One solution. One. Ask me if you have any questions
14 + 3n = 8n - 3(n - 4)

I feel like the easiest way to find out how many solutions it has is to simply solve the equation.

So, simplify the equation.

14 + 3n = 8n - 3n + 12

Combine like terms.

14 + 3n = 5n + 12

Subtract 14 from both sides.

3n = 5n + 12 - 14

Subtract 5n from both sides.

3n - 5n = 12 - 14

Simplify.

-2n = -2

Divide both sides by -2.

n = 1

Therefore there is only one solution to this problem.

~Hope I helped!~
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