What is the missing constant term in the perfect square that starts with x^2+\dfrac{1}{2}xx

2

+

2

1



xx, squared, plus, start fraction, 1, divided by, 2, end fraction, x ?

Answers

Answer 1

Answer:

1/16

Step-by-step explanation:

Given the expression;

[tex]x^2+\dfrac{1}{2}x[/tex]

To find a constant that will make it a perfect square, we will use the square if the half of coefficient of x

Coefficient of x = 1/2

half of Coefficient of x = 1/2*(1/2)

Half of Coefficient of x = 1/4

square of the half of coefficient of x = (1/4)^2

square if the half of coefficient of x = 1/16

hence the constant that will make it a perfect square is 1/16


Related Questions

find the volume of the cylinder!



Use 3.14 for pi-

round your answer to the tenths place !!


Will mark b if correct:)

Answers

Answer: this is the answer i got before rounding it 2123.72 but your answer is 2123.7  hope it helps

Step-by-step explanation:

Aaron wants to buy sod for his backyard. What is the amount of area he will need to cover? A)14in B)16in C)45.9 in D) 29.9in

Answers

Answer:

29.9 inches squared

Step-by-step explanation:

I just took this and got the answer right!!

HELP WITH THIS PLEASEEEE

Answers

Answer:

1) G

2) B

3) I

4) H

Step-by-step explanation:

Perimeter of a triangle formula:

P = a + b + c

1)

P = x + 6 + 3x + 2 + 2x + 4

P = 6x + 12

2)

P = 6x + 4 + 7x + 1 + 5x + 7

P = 18x + 12

3)

P = 4x - 3 + 3x + 5x - 6

P = 12x - 9

4)

P = 6x - 8 + 3x + 7 + 5x - 3

P = 14x - 4

Use the following explicit function to identify f(1) & r, and list the first five terms of the sequence.
f(n) = 1000(1/4)^n-1
f(1) =?
r = ?
then the 5 terms:
___, ___, ___, ___, ___...​

Answers

Given:

The explicit function is:

[tex]f(n)=1000\left(\dfrac{1}{4}\right)^{n-1}[/tex]

To find:

[tex]f(1)=?,r=?[/tex] and first 5 terms.

Solution:

The explicit formula a geometric sequence is:

[tex]f(n)=ar^{n-1}[/tex]            ...(i)

Where, a is the first term and r is the common ratio.

We have,

[tex]f(n)=1000\left(\dfrac{1}{4}\right)^{n-1}[/tex]         ...(ii)

On comparing (i) and (ii), we get

[tex]a=1000[/tex]

[tex]f(1)=1000[/tex]

And,

[tex]r=\dfrac{1}{4}[/tex]

For [tex]n=1[/tex],

[tex]f(1)=1000\left(\dfrac{1}{4}\right)^{1-1}[/tex]

[tex]f(1)=1000\left(\dfrac{1}{4}\right)^{0}[/tex]

[tex]f(1)=1000(1)[/tex]

[tex]f(1)=1000[/tex]

For [tex]n=2[/tex],

[tex]f(2)=1000\left(\dfrac{1}{4}\right)^{2-1}[/tex]

[tex]f(2)=1000\left(\dfrac{1}{4}\right)^{1}[/tex]

[tex]f(2)=1000\times \dfrac{1}{4}[/tex]

[tex]f(2)=250[/tex]

Similarly, substituting [tex]n=3,4,5[/tex], we get

[tex]f(3)=62.5[/tex]

[tex]f(4)=15.625[/tex]

[tex]f(5)=3.90625[/tex]

Therefore, [tex]f(1)=1000,r=\dfrac{1}{4}[/tex] and the first five terms are [tex]1000,250,62.5,15.625,3.90625[/tex].

Given:

The explicit function is:

To find:

and first 5 terms.

Solution:

The explicit formula a geometric sequence is:

           ...(i)

Where, a is the first term and r is the common ratio.

We have,

        ...(ii)

On comparing (i) and (ii), we get

And,

For ,

For ,

Similarly, substituting , we get

Therefore,  and the first five terms are .

Someone help and plz make sure it’s right :)

Answers

I’m pretty sure it’s it’s obtuse good luck

Emmy baked 18 cookies with 3 scoops of flour. With 4 scoops of flour, how many cookies can Emmy bake? Assume the relationship is directly proportional.

Answers

Step-by-step explanation:

For 3 scoops = 18 cookies

Lets use the unitary method,

So for 1 scoop, how many cookies?

So, 18 /3 = 6

So, 1 scoop = 6 cookies

So for 4 scoops we will multiply by 6 (as 1 scoop = 6 cookies)

So, 4 x 6 = 24

So, 24 cookies can be made if we add 4 scoops of flour

4 scoops = 24 cookies

What is the Radius of a circle with an area of 115

Answers

6.05

Step-by-step explanation:

r=squareroot a/π= square root 115/π = 6.05

You're a quality control manager in a fruit juice company. You want to choose
a sample size for a quality check on the cans used to package the juice. From
a batch of 30,000 cans, you want a sample size that will allow you to closely
approximate the population parameters for the entire batch. Which sample
size will most likely produce the least variability among different samples?

Answers

Answer:

246.

Step-by-step explanation:

a) The 95% confidence level two-tail confidence interval for the mean value of the key index of this batch is between 98.22 and 99.78

b) The minimum sample size to achieve this is 246.

Step-by-step explanation:

We have that to find our  level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of .

So it is z with a pvalue of , so  

Now, find the margin of error M as such

In which  is the standard deviation of the population(square root of the variance) and n is the size of the sample. So in this question,  

The lower end of the interval is the sample mean subtracted by M. So it is 99 - 0.78 = 98.22

The upper end of the interval is the sample mean added to M. So it is 99 + 0.78 = 99.78.

a) The 95% confidence level two-tail confidence interval for the mean value of the key index of this batch is between 98.22 and 99.78

(b) (5 points) If we want the sampling error to be no greater than 0.5, what is the minimum sample size to achieve this based on the same confidence level with part (a)

We need a sample size of n

n is found when  

Then

Rounding up

The minimum sample size to achieve this is 246.

A circle has a radius of 8 centimeters. The measure of the arc of the
shaded region is 72º. Which is closest to the area of the shaded section
of the circle?
1. 40.2 2. 160 3. 50.3 4. 10.1 ???

Answers

Answer: 10.1

Step-by-step explanation:

After 2014 the sales of new cell phones without cameras began declining. The number of people y (in thousands) who bought a cell phone without a camera can be estimated by the equation y=-30x+240, where x is the number of years after 2014

Answers

Answer:

60,000 people

Step-by-step explanation:

Given the number of people y (in thousands) who bought a cell phone without a camera can be estimated by the equation y=-30x+240,

x is the number of years after 2014

We can find the number of people that bought the cell phone in 2020. In year 2020, that will be after 6years

Substitute x = 6 into the expression

y=-30x+240

y=-30(6)+240,=

y = -180 + 240

y = 60

Since y is in thousands, hence the the number of people that have bought the cell phone by 2020 is 60,000 people

Which of the following are not true about a square

A.it has no right angles
B.all it’s sides are of equal lengths
C.it has opposite parallel
sides
D.it can be classified as a rectangle

Answers

The answer is D.

Explanation:
Squares have only right angles.
All sides are equal in length.
It has opposite parallel sides.
Squares cannot be classified as rectangles.

Therefore, D is the right answer.

how many different burritos can be made when a customer chooses one item frm each category shown in the table

Answers

Answer:13

Step-by-step explanation:

Step-by-step explanation:

I WILL GIVE BRAINLYEST

Answers

Answer:

270 minutes in all

Step-by-step explanation:

First, if we know that Deena spent 45 min painting, and that Clara spent 30 min more, than to find how much Clara painted you do 45 + 30 which equals 75. To find Adam, you do 75 x 2 which = 150.

150 + 75 + 45 = 270

Hope this helps!

Ok so you can work your way back. It says Deena has spent 45 minutes painting and Clara has spent 30 minutes more than Deena. 45+30 is 75. Next it says Adam spent twice as many minutes as Clara and we now know Clara spent 75 minutes. 75 times 2 is 150 minutes.
45+75+150= 270 minutes
(45 for Deena, 75 for Clara, and 150 for Adam)

the surface area of the rectangular prism is given by formula S=2 (ab+bh+ah) find the value of h when a = 10, b=6 and s=440

Answers

Answer:

10

Step-by-step explanation:

440=2(60+6x+10x)

220=60+16x

160=16x

x=10

h=10

The required value of h is 10 which is determined by substituting the values of a = 10, b = 6, and s = 440 in the formula the surface area of the prism of S = 2 (ab+bh+ah).

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations.

We have been given data as:

a = 10, b = 6 and s = 440

The surface area of the rectangular prism is given by the formula

⇒ S = 2(ab + bh + ah)

Substitute the values of a = 10, b = 6 and s = 440 in the above formula

⇒ 440 = 2(60 + 6h + 10h)

⇒ 220 = 60 + 16h

⇒ 220 - 60 = 16h

⇒ 160 = 16h

⇒ 16h = 160

⇒ h = 160/16

⇒ h = 10

Therefore, the required value of h is 10.

Learn more about Arithmetic operations here:

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find the measure of the angle ​

Answers

Answer:

95

Step-by-step explanation:

Answer:

95°

Step-by-step explanation:

it is five away from  90° so 95°

Give Brainllest plz

In the triangle shown, determine Angle A to the nearest degree.
A
12 m
10 m
R
M

Answers

Answer In the diagram, a = 47 m and angle a measures. 49°. ... 71.6 m. Cos luod. Nost. I 10 hod. "tan (49) = 1/2 x=tan 249). 47 x 64.1. X A ... 2. In the triangle shown, determine LA to the nearest degree. A. 6.7 1B) 9.0 ... triangle. The slanted sides are both 12 inches long and the bottom of the pad is 8 inches long. 11. ... RM 7.2 cm.:

Step-by-step explanation:

In 2000 there were about 2172000 farms in the United States twenty four thousand of the farms were in South Carolina what percent of the farms were in South Carolina

Answers

Answer:

the percentage of the farms were in SOuth caroline is 1.10%

Step-by-step explanation:

The computation of the percentage of the farms were in SOuth caroline is shown below:

= NUmber of farms in south carolina ÷ number of farms in united states

= 24000 ÷ 2172000

= 1.10%

Hence, the percentage of the farms were in SOuth caroline is 1.10%

We simply used the above formula so that the percentage could come

Plz help me solve and show your work.

Answers

Hi there!

[tex]\large\boxed{h = \frac{15x}{y}}[/tex]

Recall the volume of a pyramid is:

V = 1/3(bh)

We are given the volume and side length of the base. Find the area of the base:

A = s²

A = (5xy²)² = 25x²y⁴

Plug in the solved for base:

125x³y³ = 1/3(25x²y⁴)h

To isolate for h, begin by multiplying both sides by 3:

375x³y³ = (25x²y⁴)h

Divide both sides by 25x²y⁴. Use the following exponent property:

xᵃ / xᵇ = xᵃ⁻ᵇ

Thus:

375x³y³ / 25x²4⁴ = 15x/y.

The height must be equal to:

[tex]h = \frac{15x}{y}[/tex]

If
4x + y = 13
- y = 2
then y =

Answers

Answer:

y = 2

Step-by-step explanation:

-y = 2, that means y = opposite of 2, which is -2

Hope that helps! :)

4x + y = 13
- y = 2

y = -2

Please help will give brainliest

Answers

Answer:

no

Step-by-step explanation:

[3(a-2) / (a+2)(a-2)] - [6a / (a+2)(a-2)] = -3/(a-2)

I need help! Extra points

Answers

Question:

What is the surface area of the triangular prism?

Answer:

B) 120 square feet

Step-by-step explanation:

8 x 6 x 2.5 is equal to the surface area

120

Solve for x.
(x - 12)
2x
51

Answers

Answer:

114

Step-by-step explanation:

144 is the answer I think

What is the area of the circle? I need help please!

Answers

Answer: 78.5

Step-by-step explanation:

Plz Help!! NO LINK or REPORTED

Answers

I don’t know for sure but please let me know :)

Can I Sign in for free I'm a student so I don't know how to log in please help me I would appreciate your service thank you!

Answers

Answer:

you have to create an account which should be pretty easy to find and just use your personal email!

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation

You are signed in right now????

3. Find the area of the trapezoid.
(1 point)
14.5 cm
1
8 cm
19.5 cm
68 cm
O 136 cm
214 cm
268 cm
4. The radius of

Answers

I think it’s the 5th one

Giving brainliest for the correct answer

Answers

Answer:

D 50 cubic feet

Step-by-step explanation:

hope this helps

Nine students took a mathematics quiz. Their scores were 85 ,68 ,54 ,69 ,70 ,64 ,89 .77 ,71

​Find the median.

Answers

Answer:

70

Step-by-step explanation:

The median is the value that is directly in the middle of the data set.

Hope this helps :)

The median of the mathematics quiz of the nine students is M = 70

What is Median?

The median is the value that's exactly in the middle of a data set when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values. The steps for finding the median differ depending on whether you have an odd or an even number of data points

Arrange the data points from smallest to largest.

If the number of data points is odd, the median is the middle data point in the list.

If the number of data points is even, the median is the average of the two middle data points in the list.

Given data ,

To find the median of the scores, we need to first arrange them in order from smallest to largest:

54, 64, 68, 69, 70, 71, 77, 85, 89

Since there are nine scores, the median is the middle score when they are arranged in order.

In this case, the fifth score (70) is the middle score, so the median score is 70.

Hence , the median score for the math quiz is 70

To learn more about median click :

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Maria adds 3 cards to her stack of 60. She says now there are only two ways to
arrange the cards into equal groups. Her reason is that 63 is an odd number. Is Maria's
reasoning correct? Explain why or why not.

Answers

Answer:

63 is an odd number because the singular number 3 is odd meaning there will be some cards left over.

Maria's reasoning is incorrect. Because, The fact that 63 is an odd number does not necessarily mean that there are only two ways to arrange the cards into equal groups.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

To determine the number of ways that the cards can be arranged into equal groups, we need to consider the factors of 63. In this case, the factors of 63 are 1, 3, 7, 9, 21, and 63. This means that there are six possible ways to arrange the cards into equal groups of any of these factors:

1 group of 63 cards

3 groups of 21 cards

7 groups of 9 cards

9 groups of 7 cards

21 groups of 3 cards

63 groups of 1 card

So, Maria's reasoning is not correct. There are actually six ways to arrange the cards into equal groups, based on the factors of 63.

Learn more about the divide visit:

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At a coffee shop, the first 100 customers' orders were as follows.
What is the probability that a customer ordered a small given that he or she ordered a cold drink?
Rounded to the nearest percent

Answers

Answer:

8%

Step-by-step explanation:

Compared to the 1st 100 customers, we know that 8 of the 100 people got small cold drinks. This means the probablility someone would order a small cold drink is 8/100 which is 8 percent.

By the way, can you follow me on Brainly?

Thanks!

Answer:

32%

Step-by-step explanation:

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