Mathematics Middle School

what term should be added to create a perfect square trinomial ??

x^2+18x
i think it’s +81 but i’m not positive.

Answers

Answer 1
Yes you are correct. You take half of the x coefficient 18 to get 9, then you square 9 to get 81

x^2+18x+81 is a perfect square trinomial which factors to (x+9)^2

Related Questions

A flagpole that is 30 feet tall casts a shadow that extends 42 feet from the base of the flagpole. What is the distance from the top of the flagpole to the end of the shadow?

Answers

it’s the hypotenuse, so you would do a^2 + b^2 = c^2, let a equal 30 feet and let b equal 42 feet. hope this helps

Identify the question that is NOT statistical.

A)What is the maximum number of swimmers allowed on a swim team?
B)What were the times of the top five swimmers in the competition?
C)How many people attended on each of a three day competition?
D)How many tickets were purchased by each school for the competition?

Answers

A)What is the maximum number of swimmers allowed on a swim team?

Answer:

A)What is the maximum number of swimmers allowed on a swim team?

Step-by-step explanation:

usatestprep

The expression 12g12g12, g gives the number of kilometers a car can travel using ggg liters of gasoline. How far can this car travel on 5 \dfrac125 2 1 ​ 5, start fraction, 1, divided by, 2, end fraction liters of gasoline?

Answers

Answer:
The car can travel 66 miles using 5.5 liters of gasoline

Explanation:
We are given that:
The expression 12*g is used to evaluate the number of miles the car can travel using g liters of gasoline.
Therefore:
miles = 12*g

Now, we are given that the liters of gasoline = 5[tex] \frac{1}{2} [/tex] = 5.5 liters.
To get the number of miles, all we have to do is substitute with the given liters in the above expression as follows:
miles = 12*g
miles = 12 * 5.5
miles = 66 miles

Hope this helps :)

HEEEEEEEEEEEEEEEEEEEEEEELP

Answers

Answer:
y = 3x - 8

Explanation:
The equation in slope-intercept form is:
y = mx + c
where:
m is the slope
c is the y-intercept

We are given that the slope = 3
Therefore, the equation becomes:
y = 3x + c

Now, we need to get the value of c. We are given that the point (6,10) belongs to the line. Therefore, we will substitute with this point in the equation of the line and solve for c as follows:
y = 3x + c
10 = 3(6) + c
10 = 18 + c
c = 10 - 18
c = -8

Based on the above, the equation of the line is:
y = 3x - 8

Hope this helps :)

You have a 64 foot of fencing. What are the dimensions of the rectangle of the greatest area you could enclose?

Answers

In a rectangle, opposite sides are congruent.
Let one side have length x.
The opposite side also has length x.
The lengths of these two sides add to 2x.
The lengths of all 4 sides add to 64, so the lengths of the other 2 sides
add up to 64 - 2x. Each side measures 32 - x.

The rectangle has sides of length x and 32 - x.

The area of the rectangle is

A = LW

A = x(32 - x)

A = 32x - x^2

y = 32x - x^2 is a parabola that opens downward.
The maximum value of the parabola is the vertex on top.

32x - x^2 = 0

(32 - x)x = 0

32 - x = 0 or x = 0

x = 32 or x = 0

Since the parabola is symmetric with respect to the vertical axis, the vertex has x-coordinate 16.

At x = 16, you get maximum area.

Two opposite sides measure 16 ft each.
32 - x = 32 - 16 = 16
The other two opposite sides also measure 16 ft.

Since all sides turned out to have length 16 ft, the rectangle is a square.

Answer: The maximum area is enclosed by a square with side 16 ft.

Find the measure of side b.

Answers

b=202.25 
cos (angle)=adjacent/hypotenuse

I need help on 4, 5 :)

Answers

what do you need help with? it helps us to know the question!

Find the distance represented by 2.6 in. if the scale 1 in. = 50 mi. is used.

Answers

Answer:

10inch

Step-by-step explanation:

The sum of two numbers is 76. The first number is 4 more than twice the other. How much is the first number?

Answers

Set up two equations, with your first number being x and your second number being y:

Since their sum is 76, then x+y=76.
Since x is 4 more than twice y, then x=4+2y.

Now, since you have a definition for x (x=4+2y), you can substitute that equation in for x in the first equation.
This gets you (4+2y)+y=76.

Now, simplifying that out, you get the solution for y: y=24. Since you know what y is, you can substitute that in for y in the first equation and find x:
x+24=76
x=76-24
x=52

0.000309 in scientific notation

Answers

Hey there :)

Writing in scientific notation means a should be
0 ≤ a < 10

Therefore, 0.000309 will be written as
3.09 x 10ⁿ

3 is the 4th decimal place value

so n = - 4

3.04 x 10⁻⁴

James surveyed people at school and asked whether they bring their lunch to school or buy their lunch at school more often. The results are shown below.
Bring lunch: 46 males, 254 females
Buy lunch: 176 males, 264 females
The events "male” and "buys lunch” are not independent because
P(buys lunch | male) = P(male) = 0.4.
P(male | buys lunch) = P(male) = 0.3.
P(buys lunch | male) = 0.3 and P(male) = 0.4.
P(male | buys lunch) = 0.4 and P(male) = 0.3.

Answers

46 + 176 = 222 males
254 + 364 = 518

Which is  total of 740 people.

The probability of being male is 0.3

46 + 254 = 300 that bring lunch
176 + 264 = 440 that buy their lunch 
P(male | buy lunch ) = 0.4

Answer D 

The events "male” and "buys lunch” are not independent because

P(buys lunch | male) = 0.3 and P(male) = 0.4.

Option C is the correct answer.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

We are given that,

P(buys lunch | male) = 0.3 (the probability that a male student buys lunch)

P(male) = 0.4 (the probability that a student is a male).

These values suggest that there is a dependence between the two events.

The probability of buying lunch at school may be different for males and females.

The conditional probability P (buys lunch | male) is not equal to the marginal probability P(buys lunch) if the events "male" and "buys lunch" are dependent.

To confirm this,

We would need to calculate the conditional probability

P(buys lunch | female) (the probability that a female student buys lunch).

If this probability is different from 0.3 (the probability for males), then the events "male" and "buys lunch" are dependent.

Therefore,

The events "male” and "buys lunch” are not independent because

P(buys lunch | male) = 0.3 and P(male) = 0.4.

Learn more about probability here:

https://brainly.com/question/14099682

#SPJ5

Each box of Fred’s Fudge is constructed from 2 triangles and 3 rectangles. What is the shape of each box?

Answers

The answer is a rectangular prism

The boxes of Fred's Fudge, made of 2 triangles and 3 rectangles, are most likely shaped as triangular prisms.

Each box of Fred's Fudge is constructed from 2 triangles and 3 rectangles. The shape of each box can be determined by visualizing how the triangles and rectangles are assembled. In most cases, packaging that includes triangles would imply the presence of triangular prism shapes, where the triangles serve as the ends and the rectangles connect the corresponding sides of the triangles. Hence, it's reasonable to conclude that the shape of each box is likely a triangular prism.

PLEASE HELP!
The manager of a sawmill wants to find out what percentage of the boards that the mill produced are defective.

Which sampling methods are likely to be biased?

Select each correct answer.


The manager selects 20 boards at random each day for 5 days and examines them.

Every 40th board produced over the course of 1 week is selected and examined.

On 1 day, an hour after the sawmill begins production, 30 boards in a row are selected and examined.

The manager sends an email to 20 customers who buy lumber from the mill, asking each how many of the boards they bought the past week were defective. Results from the first 5 customers to respond are tallied

Answers

The third and fourth methods described are more likely to yield unbiased results, whereas the first and second methods are prone to bias.

The manager of a sawmill wants to find out what percentage of the boards that the mill produced are defective. To determine this accurately, the manager must use unbiased sampling methods.

Biased Sampling Methods

On 1 day, an hour after the sawmill begins production, 30 boards in a row are selected and examined: This method is likely to be biased because it only considers boards produced during a specific timeframe, which might not represent the entire production cycle.

The manager sends an email to 20 customers who buy lumber from the mill, asking each how many of the boards they bought the past week were defective. Results from the first 5 customers to respond are tallied: This method is biased due to its reliance on customer self-reporting and the fact that only the first few respondents are considered, which might not be representative.

Possibly Unbiased Sampling Methods

The manager selects 20 boards at random each day for 5 days and examines them: This sampling method is likely to be unbiased as it involves random selection across multiple days, covering a broader production span.

Every 40th board produced over the course of 1 week is selected and examined: This method is less likely to be biased as it systematically covers the production over a week, though it might miss defects that occur in clusters shorter than 40 boards.

In summary, the third and fourth methods described are more likely to yield unbiased results, whereas the first and second methods are prone to bias.

how do you find the slope intercept form if you are given two triangles with one point over laped?

Answers

Hi there!

If one edge of both of the triangles form a straight line, you take the units of rise (y values) and divide it by the run (x values) of any one of the triangles. 

Hope this helps!

Solve for x. 6x^2−2=13

Answers


[tex]6 {x}^{2} - 2 = 13[/tex]
You add both sides by 2
[tex]6 {x}^{2} = 15[/tex]
[tex] \frac{ {6x}^{2} }{6} = \frac{15}{6} [/tex]
[tex] {x}^{2} = \frac{15}{6} [/tex]
[tex] \sqrt{ {x}^{2} } = \sqrt{ \frac{15}{6} } [/tex]
[tex]x = \sqrt{ \frac{15}{6} } [/tex]

Which of the following points is a solution of y > |x| + 5?

(0,5)

(1, 7)

(7, 1)

Answers

The answer is the second option, (1,7).
Let's put it into the inequality. 
7 > |1| + 5
The absolute value of 1 is 1 because it is 1 away from zero. So:
7 > 1 + 5 
1 + 5 is 6. 
7 > 6 

Hope this helps!

Please help for number 2!

Answers

what do you need help with? it helps us to know the question!

Letitia has 7 1/6 yards of yellow ribbon, 5 1/4 yards of orange ribbon, and 5 1/6 yards of brown ribbion. How much ribbion does she have altogether

Answers

7 1/6+ 5 1/4+ 5 1/6=17 7/12yards of ribbon
To find the total amount of ribbon she has, we need to add up all of the fractions.

First, we need to find the common denominator.

6 × 2 = 12
4 × 3 = 12

Our least common denominator is 12.

Now, we convert the fractions and add.

7 1/6 = 7 2/12
5 1/4 = 5 3/12
5 1/6 = 5 2/12

7 2/12 + 5 3/12 + 5 2/12 = 17 7/12

Hope this helps!

The weight of a person on or above the surface of the earth varies inversely as the square of the distance the person is from the center of the earth. A particular person weighs 192 pounds on the surface of the earth and the radius of the earth is 3900 miles. Determine the equation that relates weight, W, to the distance from the center of the earth, d, for this person.
Answer choices on picture.

Answers

The question tells us that the weight of a person varies with the square of their distance to the center of the Earth.

Weight = 192 pounds
Radius of the earth = 3900  miles 

Let's introduce the constant, k
192 = [tex] \frac{k}{3900 ^{2} } [/tex]
k = 192 * 3900²
k = 192 * 15,210,000
k = 2,290,320,000

Putting the constant k back into the equation, W = [tex] \frac{k}{d ^{2} } [/tex]

W = [tex] \frac{2,290,320,000}{d ^{2} } [/tex]

(OPTION D)

The weight of a person on or above the surface of the earth varies inversely as the square of the distance the person is from the center of the earth.

The distance the person is from the center of the earth: d

W=K/d^2

W=192 pounds, d=R: Radius of the earth=3900 miles
Replacing in the equation above:
192=K/3900^2

Solving for K:
192=K/15,210,000
192*15,210,000=K
2,920,320,000=K
K=2,920,320,000

Then the equation is:
W=K/d^2 and K=2,920,320,000

W=2,920,320,000/d^2

Answer: Option d. W=2,920,320,000/d^2 


Mrs. Plesich has a 16 1/2 ounce bag of chocolate chips. She will only use 1/4 of the bag for decorating a cake . How many ounces will she use for the decorating.

Answers

16 1/2= 33/2=66/4
66/4 x 1/4 is 66/16
33/8
The answer is 33/8 ounces.

help please and thank you.

Answers

a) sorting the data, you have
.. 8, 10, 14, 15, 18, 22, 22, 30, 33

b) min: 8
.. med: 18
.. max: 33
.. Q1: med of first 4: 12
.. Q3: med of last 4: 26

Carmela randomly selected 65 stamps from a stamp collection. Eleven of these were commemorative stamps. What is the interval estimate for the proportion of commemorative stamps in the entire collection if the sampling method had a margin of error of ±0.025?

Answers

Since there is no mean, we need to first get the probability:
p = 11/ 65 = 0.1692
This will make it easier to compute for the interval estimate. Interval Estimate = probability ± margin of error
upper limit = 0.1692 + 0.025 = 0.1942

lower limit = 0.1692 - 0.025 = 0.1442
So the interval estimate is 0.1442 < x < 0.1942

What is x- and y- intercept of -7x + 2y= 14

Answers

The y-intercept is (0,7) and the x-intercept is (-2,0).

Find the interest earned and the balance of the account: P=$650 R=4% T=2 Years

Answers

I have no idea.... Try to ask your teacher or your parents

Last year Anthony earned $24,000. After a brief lay-off this year, Anthony's income is $18,500.

What I am basically trying to find is the Percent Of Change and I have to state whether or not the change is an increase or a decrease.

Answers

The answer is 23% Decrease :)

Final answer:

Calculate the percentage change in income, find a decrease of 22.92% from last year to this year.

Explanation:

Given:

Original income = $24,000
Current income = $18,500

Step 1: Calculate the change in income:
Change in income = New income - Original income = $18,500 - $24,000 = -$5,500

Step 2: Calculate the percentage change in income:
Percentage change = [(Change in income) / (Original income)] x 100
= [(-$5,500) / ($24,000)] x 100
= -22.92%

Step 3: Interpretation:
The percentage change is -22.92%, indicating a decrease in income by 22.92%.

Write an algebraic expression that illustrates the multiplicative identity.

Answers

The multiplicative identity shows us that any time you multiply something by the number 1, the result would be what you started with.

Ex: 1(m) or 1 x m.

The reason for thusbis that when you are multiplying you are representing groups of something, so 1 group of anything or m, would just be that anything or m in this case!

Answer:

The multiplicative identity shows us that any time you multiply something by the number 1, the result would be what you started with.

Ex: 1(m) or 1 x m.

The reason for thusbis that when you are multiplying you are representing groups of something, so 1 group of anything or m, would just be that anything or m in this case!Step-by-step explanation:

Please need help on this any clue any one

Answers

Answer:

A

Step-by-step explanation:

it makes the most sense

A small pizza has a diameter of 10 inches and cost 7.75 how many square inches of pizza are in a small pizza? what is the cost per square inch?

Answers

The answer is 0.0987
The answer is gonna be 0.0987

An item selling for $1102 is reduced to $806. To the nearest whole, what is the percent decrease?

Answers

The answer is 296. Hope this helps:)
The 26% decrease would be $1102-$287 which equals $815 while a 27% decrease would be $1102-$298 which also doesn't equal $806. So therefore, the answer is 26.9%because that would equal $1102-$296 which equals $806.

A picture measuring 2.5" high by 6" wide is to be enlarged so that the width is now 18 inches. How tall will the picture be?

Answers

7.5
2.5 to 6 so if 6 is raised to 18 thats times 3 so just times 2.5 by 3 and you would 7.5
Let t = height of picture

2.5" long/6" wide = t/18 " wide

6t = 18*2.5

6t = 45

t = 45/6

t = 7.5 inches
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