Find the number to add to x^2+14x to make it a perfect square trinomial. Write that trinomial as the square of a binomial.

Answers

Answer 1

Answer:

The number is 13

[tex] {x}^{2} + 14x + 13 \\ (x + 13)(x + 1)[/tex]

Step-by-step explanation:

I hope that is useful for you :)

Answer 2

Answer:

Step-by-step explanation:


Related Questions

Solve for a side in right triangles

Answers

You didn't put the picture

A company that manufactures electronic components wants to know the mean discharge time of one particular type of capacitor that it makes. In order to estimate this value, they randomly select 100 capacitors and measure how long they take to discharge. The mean of this sample was 7.25 seconds with a standard deviation of 0.15 seconds. Assuming that this distribution is normal, construct a 99% confidence interval to estimate the mean discharge time for all capacitors of this type. Is this question asking for a confidence interval or hypothesis test

Answers

Answer:

99% confidence interval to estimate the mean discharge time for all capacitors of this type

(7.2146, 7.2854)

Step-by-step explanation:

Step(i):-

Given that the sample size 'n' = 100

Given that the mean of sample x⁻ = 7.25 seconds

Given that the standard deviation of the sample (S)  = 0.15 seconds

Level of significance = 0.01

Degrees of freedom = n-1 =100-1 =99

t₀.₀₁ , ₉₉ = 2.3646

We have to find that the 99% of the confidence interval of the mean

Step(ii):-

99% confidence interval to estimate the mean discharge time for all capacitors

[tex](x^{-} - t_{0.01 , 99} \frac{S}{\sqrt{n} } , x^{-} + t_{0.01 , 99} \frac{S}{\sqrt{n} } )[/tex]

[tex](7.25 - 2.3646 \frac{0.15}{\sqrt{100} } , 7.25 + 2.3646 \frac{0.15}{\sqrt{100} } )[/tex]

(7.25 - 0.0354 , 7.25 + 0.0354)

(7.2146, 7.2854)  

Final answer:-

99% confidence interval to estimate the mean discharge time for all capacitors of this type

(7.2146, 7.2854)

Suppose 12% of students surveyed said they have tried riding a zip line.

a. How many would say they have tried riding a zip line if 100 students were surveyed.

Answers

Answer:

12.

12% of 100= 12.

Help! Will give Brainliest

Answers

Answer:

B

..................... ....

My cousin made 50 muffins and brought 3/5 of them to work how many did she leave at home?

Answers

Answer:

20

Step-by-step explanation:

To find how many she took to work you do (3/5) * 50 which is equal to 30

That means she took 30 to work leaving 20 muffins left at home.

Please Help! What decimal is less than 0.4?

Answers

The decimal 0.7 is less than 0.4.

We have to determine

decimal is less than 0.4

What is the decimal?

A decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point.

We know that the decimal numbers increase in size as we move to

The right on the number line

0.4 is less than 0.7.

Let us now compare 1.57 and 1.6.

Therefore, The decimal 0.7 is less than 0.4.

To learn more about the decimal visit:

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What is 2x^6 times 3 ?
I will give 20 points and brainliest

Answers

Answer:

6[tex]x^{6}[/tex]

Step-by-step explanation:

8x^ 18

you can use mathw ay.com for answers

Find the surface area of the prism.

Answers

Answer:

386

Step-by-step explanation:

5x^2y + 6x^2y^3 - 3x^3y^2=0

Answers

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:  

Kurt is running for student senate. He designed the t-shirt logo for his campaign. The logo is made up of a square with 14 cm sides and four half circles. Use 3.14 for pi to approximate the area of the logo.

Answers

Answer:

......

Step-by-step explanation:

o study student engagement, a university surveys 1,390 college freshman and determines that 470 of them participate in a recreational sport. The university would like to estimate the proportion of all college freshman that participate in a recreational sport at a 95% confidence interval. What is the upper bound of the confidence interval built by the university

Answers

Answer:

46

Step-by-step explanation:

Solve the equation 23+n=29 using the inverse operation.

Answers

Answer:

n=6

Step-by-step explanation:

i used math-way :P

The area of a square is 54 cm. What
is the length of each side of the
square?
A. between 8cm and 9cm
B. between 5cm and 6cm
C. between 6cm and 7cm
D. between 7cm and 8 cm

Answers

area is a^2 since all the sides r the same length
i’d say between 7cm and 8cm

The Red Knight can run 12 yards in 2 minutes. How many yards can he run in 55 minutes ?

Answers

Answer:

330

Step-by-step explanation:

Because he runs 6 yards in 1 minute so if we multiply 55 x 6 we get 330.

Answer:

330

Step-by-step explain

12/2=6  

55x6=330

find the volume of a rectangular prism with a base area of 13 ft.² and a height Of 7 feet

Answers

Answer: 91 ft

V = b x h

V = 13 x 7

V = 91

Given g(x) = -5x – 4, solve for x when g(x) = 1.

Answers

Answer:

g (1) = -5(1) -4

-5-4

-9............. .......

Step-by-step explanation:

-5(1)-4=-5-4=-9 Answer

hope it helps

State the Limits Rule and explain what it means

Answers

Answer:

The limit of a sum is equal to the sum of the limits.

Step-by-step explanation:

The limits of a constant times a function is equal to the constant times the limit of the function.

Find the volume of the sphere in terms if the diameter is 15

Answers

Answer:

1767.14587

Step-by-step explanation:

V≈1767.15

V=4/3 π r³

d= 2 r

V= 1/6π d³ = 1/6.π.15³≈1767.14587

Ben can use 3 cups of flour to make 2 batches of cookies. If he has 6 cups of flour, then how many batches of cookies can he make?

Answers

Answer:

4 batches of cookies

Step-by-step explanation:

Select the three equivalent expressions​

Answers

Step-by-step explanation:

4(2h + g)

4h + 4h +3g + g

2(4h + 2g)

I have ¾ of an hour to finish 6 homework assignments. How much time can I spend on each assignment?

Answers

Answer:

 7.5 min for each assignment

Step-by-step explanation:

1 hour is 60 minutes, and there are four 15 minute intervals. So, if there are four intervals of 15 minutes that add up to 60, just take three of them and put them over four:

15 ⋅ 15⋅ 15/ 15⋅ 15 ⋅ 15 ⋅ 15= 45 /60

Or we could multiply one hour, or 60 minutes, by  3 /4 .

    60 ⋅ 3/ 4 = 60 /1 ⋅ 3 /4 = 60 ⋅ 3/ 4 ⋅ 1 = 180 /4 =45

Three fourths of an hour is 45 minutes.

to find  time for each assignment =45/6

          7.5 min

Two triangles have bases with lengths 5in and 8in.
a. Find the ratio of the areas of the triangles

b. If the area of the smaller triangle is 15in², what is the area of the larger triangle?

Show work ​

Answers

Answer:

i. The ratio of the areas of the two triangles is 5:8.

ii. The area of the larger triangle is 24 in².

Step-by-step explanation:

Let the area of the smaller triangle be represented by [tex]A_{1}[/tex], and that of the larger triangle by [tex]A_{2}[/tex].

Area of a triangle = [tex]\frac{1}{2}[/tex] x b x h

Where; b is its base and h the height.

Thus,

a. The ratio of the area of the two triangles is:

[tex]\frac{area of the smaller triangle}{area of the larger triangle}[/tex]

Area of smaller triangle = [tex]\frac{1}{2}[/tex] x b x h

                                       = [tex]\frac{1}{2}[/tex] x 5 x h

                                       = [tex]\frac{5}{2}[/tex]h

Area of the lager triangle = [tex]\frac{1}{2}[/tex] x b x h

                                           = [tex]\frac{1}{2}[/tex] x 8 x h

                                           = 4h

So that;

Ratio = [tex]\frac{\frac{5}{2}h }{4h}[/tex]

         = [tex]\frac{5}{8}[/tex]

The ratio of the areas of the two triangles is 5:8.

b. If the area of the smaller triangle is 15 in², then the area of the larger triangle can be determined as;

[tex]\frac{area of the smaller triangle}{area of the larger triangle}[/tex] = [tex]\frac{5}{8}[/tex]

[tex]\frac{15}{A_{2} }[/tex] = [tex]\frac{5}{8}[/tex]

5 [tex]A_{2}[/tex] = 15 x 8

       = 120

[tex]A_{2}[/tex] = [tex]\frac{120}{5}[/tex]

    = 24

The area of the larger triangle is 24 in².

         

List the following rational numbers in order from least to greatest -1/2, 2.5, -8 1/4,
1 1/2,-1.5,3

Answers

-8 1/4, -1.5, -1/2, 1 1/2, 2.5, 3

Or -8.25, -1.5, -0.5, 1.5, 2.5, 3
-8 1/4, - 1/2, -1.5, 2.5, 1 1/2, 3

50 - (14 + 12 +2(5) + 2(2) + 3)

Answers

Answer:

50 - (14 + 12 +2(5) + 2(2) + 3)

solve the brackets first

50 - (14 + 12 + 10 + 4 + 3)

50 - (14 + 12 +2(5) + 2(2) + 3)

50- 43

7

Evaluate the expression for p = 3.

7p

Answers

7(p)

p=3

7(3)

the answer is 21.
7p
p=3
7 x 3 = 21 is the correct answer

Will give brainliest!! PLEASE HELP NEED THIS NOW DUE TODAYYY!!!
My math students challenged me, their math teacher, to play a dice game with them. They will give me 10 cents for each odd sum I roll with two dice, but I have to give them 10 cents for each even sum they roll with the two dice. I do not think this game is fair. I think I am going to get cheated! I noticed that I cannot roll one of my odd numbers: 1!

Should I play this game with the students? Use your mathematical thinking to convince me whether or not this is a fair game.

Answers

Answer:

No

Step-by-step explanation:

You can if you want, but there is a total of 6 on the dice. And there are 3 odds. Each odd you role you gain 10 cents, but each time a student roles a even they also get 10 cents. So you will get paid and in a game of chance and gambling. You won't gain anything if ALL of the students are together and going against you. Its like 1 vs 25 and you would have to pay a lot of students at one time to play this game. So logically no, because you won't gain money. But also you could if you always get odds, but again. That's a 3/6 or 1/2 each time you role to get a odd number.

Hope that helped, or even made sense xD

HELPP ME IM FAILING IN MATH

Answers

Answer:

-2, 4

Step-by-step explanation:

a parallelogram is a shape that's lines will never cross, putting the 4th plot there would make that true

Answer:

Plot (-3,5)

I hope this is right ; -;

if the area is 48 square meters what is the length of side R in meter

Answers

Answer:

12 m

Step-by-step explanation:

the area of a rectangle is length x width

we know the width, so we can proceed like this:

Lenght = A/width

Lenght = 48/4 = 12 m

The heights of the pine trees in a certain forest are normally distributed, with a mean of 86 feet and a standard deviation of 8 feet.

Approximately what percentage of the pine trees in this forest are taller than 100 feet?

Answers

Answer:

4%

Step-by-step explanation:

PLATO users

4% of the pine trees in this forest are taller than 100 feet.

The heights of the pine trees in a certain forest are normally distributed, with a mean of 86 feet and a standard deviation of 8 feet. Approximately what percentage of the pine trees in this forest are taller than 100 feet to be determined.

What is Statistic?

The statistic is the study of mathematics that deals with relations between comprehensive data.

raw score x = 100 , mean = 86 standard deviation = 8,
The probability of pine trees in the forest being taller than 100 ft is given as,


p = p( x > 100)
[tex]P =P[z = \frac{X - \mu}{\sigma}][/tex]
P = z [ (100-86)/8 ]
P = z [1.5]
P = 0.04004
P = 4.04%

Thus, 4% of the pine trees in this forest are taller than 100 feet.

Learn more about Statistics here:
https://brainly.com/question/23091366

#SPJ2

What is the sum of 52.07+8.43

Answers

Answer:

60.5

Step-by-step explanation:

Ehhh 52.07+8.43=60.5?

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