Write the perfect square trinomial that factors as (p + 7q)²

Answer:

67, 600

Step-by-step explanation:

There are 26 alphabet and 10 digits then the number of the possible ID codes will be 67600.

A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.

A company is making aid badges with personal ID codes on them for each employee.

The ID code will consist of two letters followed by 2 digits.

Then the number of ways ID codes are there will be

[tex]\rightarrow 26 \times 26\times 10\times 10\\\\\rightarrow 67600[/tex]

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255

9514 1404 393

Answer:

  9 weeks

Step-by-step explanation:

In problems of this nature, the usual assumption is that the time required is proportional to the work product and inversely proportional to the number of people doing the job. Here, there is no change in the amount of work, but the number of people is reduced by a factor of 12/18 = 2/3.

So, the amount of time required is expected to increase by a factor of 1/(2/3) = 3/2.

  (6 weeks)×(3/2) = 9 weeks

It would have taken 9 weeks to sew the 540 dresses.

Answer: 54.4

Step-by-step explanation:

Answer:

(155.301 ; 159.299)

Step-by-step explanation:

Xbar = 157.3

Sample size, n = 234

Population standard deviation, σ = 15.6

The confidence interval :

Xbar ± standard Error

Standard Error = Zcritical * σ/√n

Zcritical at 95% = 1.96

Standard Error = 1.96 * (15.6/√234) = 1.999

Lower boundary : 157.3 - 1.999 = 155.301

Upper boundary : 157.3 + 1.999 = 159.299

(155.301 ; 159.299)

Step-by-step explanation:

.....

Answer:

The answer is 4.

Step-by-step explanation:

All you have to do is count the dots between the library and Gabes house.

Answer:

VEFG4KLKB

Step-by-step explanation:

BLB

The length of the guy wire is approximately 74.7 feet, and the height of the antenna is approximately 72.2 feet.

Here, we have,

To find the length of the guy wire and the height of the antenna, we can use trigonometry and the concept of right triangles.

In this scenario, the guy wire represents the hypotenuse of a right triangle, and the height of the antenna represents one of the legs of the triangle.

The angle of elevation formed by the guy wire is given as 79 degrees.

Let's denote the length of the guy wire as h and the height of the antenna as a.

Using the trigonometric function sine (sin), we can relate the angle of elevation and the sides of the triangle:

sin(angle) = opposite/hypotenuse.

In this case, the opposite side is the height of the antenna (a), and the hypotenuse is the length of the guy wire (h).

sin(79°) = a/h.

To solve for h, we can rearrange the equation as:

h = a / sin(79°).

We also have another relationship between the sides of the triangle.

The base of the right triangle is given as 15 feet, and the height of the antenna is a.

Therefore, using the Pythagorean theorem, we have:

h² = a² + 15².

Now we can substitute the expression for h from the first equation into the second equation:

(a / sin(79°))² = a² + 15².

Expanding and simplifying, we get:

a² / sin²(79°) = a² + 225.

Multiplying both sides of the equation by sin²(79°), we have:

a² = sin²(79°) * (a² + 225).

Expanding again, we get:

a² = sin²(79°) * a² + 225 * sin²(79°).

Rearranging the equation, we have:

a² - sin²(79°) * a² = 225 * sin²(79°).

Factoring out a², we get:

(1 - sin²(79°)) * a² = 225 * sin²(79°).

Using the trigonometric identity sin²(θ) + cos²(θ) = 1,

we know that cos²(θ) = 1 - sin²(θ).

Therefore:

cos²(79°) * a² = 225 * sin²(79°).

Taking the square root of both sides, we have:

cos(79°) * a = 15 * sin(79°).

Simplifying, we get:

a = (15 * sin(79°)) / cos(79°).

Using a calculator or software, we find:

a ≈ 72.2 feet (rounded to one decimal place).

Now, to find the length of the guy wire (h), we can substitute the value of a into the first equation:

h = a / sin(79°).

Using a calculator or software, we find:

h ≈ 74.7 feet (rounded to one decimal place).

Therefore, the length of the guy wire is approximately 74.7 feet, and the height of the antenna is approximately 72.2 feet.

To learn more trigonometry click:

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#SPJ4

Answer:

NYS Math Module 3 Grade 4 Lesson 32 Concept Development

Problem 1

We all know there are 7 days in a week. How many weeks are in 259 days?

Problem 2

Everyone is given the same number of colored pencils in art class. If there are 249 colored pencils and 8 students, how many pencils does each student receive?

Problem 3

Mr. Hughes has 155 meters of volleyball netting. How many nets can he make if each court requires 9 meters of netting?

Step-by-step explanation:

Answer:

6 bags

Step-by-step explanation:

228 ounces = 18 pounds

18 pounds ÷ 3 pounds

6 bags

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

We all know there are 7 days in a week. How many weeks are in 259 days?

37 weeks

[tex]\frac{1}{7} :\frac{y}{259}[/tex]

y · 7 = 1 · 259

7y = 259

7y ÷ 7 = 259 ÷ 7

y = 37

Everyone is given the same number of colored pencils in art class. If there are 249 colored pencils and 8 students, how many pencils does each student receive?

31 color pencils each and 1 extra pencil

249 ÷ 8 =

31.125 colored pencils each

This rounds to 31 color pencils and 1 extra pencil.

Mr. Hughes has 155 meters of volleyball netting. How many nets can he make if each court requires 9 meters of netting?

7 courts and he will be left with 2 meters of netting

155 ÷ 9

17 and 2/9 volleyball courts

17 courts and he is left with 2 meters of netting.

Answer:

= -4.41666666667

Step-by-step explanation:

Answer:

    [tex]-7\frac{2}{3} + -5\frac{1}{2} +8\frac{3}{4}\\\\\frac{-23}{3} -\frac{11}{2} + \frac{35}{4}\\\\[/tex]

LCM (3, 2 ,4) = 12

   [tex]\frac{(-23*4) -(11*6)+(35*3)}{12} = \frac{-92-66+105}{12} =\frac{-53}{12} = -4\frac{5}{12}[/tex]

Answer:

please send the picture of the question plz!

Step-by-step explanation:

Answer: 1 graph A

2 graph B

3 graph C

4 the number of sales a month

Step-by-step explanation:

Answer:

14 Feet

Step-by-step explanation:

Answer:

14 is the answer

140/10=14

hope this helps

have a good day  :)

Step-by-step explanation:

Answer

13 1/2 pounds

Step-by-step explanation:

welcome ;)

Answer:

the cat now weighs 13 3/8 LBS

Step-by-step explanation:

convert the fractions so you can add them together,  

mult 3/4 by two to get common denominators

6/8 + 5/8

the cat gained 11/8 pounds. (1 3/8)

since the numerator is larger we add the mixed number to the 12 pounds.

13 3/8 pounds.

Answer:

Step-by-step explanation:

we have several angles that have the same vertex and so they are congruent

1) e = 35 degrees because the opp angle has this measure

2) d = 109 degrees for the reason above

3) for find f we have to notice that the sum of the three angles (if you look at the vertical line you can notice that it is a straight line, so describes two angles whose measures are 180 degrees)

f = 180 - (35 + 109)

f = 180 - 144 = 36 degrees

Answer:

2 radical 5

Step-by-step explanation:

i am smart

Answer:

[tex]\sqrt{20} =2\sqrt{5}[/tex]

Step-by-step explanation:

Given:

[tex]\sqrt{20}[/tex]

Step 1: Factor out the biggest square number:

[tex]\sqrt{4}\sqrt{5}[/tex]

Step 2: Simplify:

[tex]2\sqrt{5}[/tex]

Therefore, [tex]\sqrt{20} =2\sqrt{5}[/tex]

Answer:

The one on the bottom left corner. I'm not sure what letter that is!  

Hope this helped :)

Step-by-step explanation:

Answer:

16.5 cups of milk are needed.

Step-by-step explanation:

i hate you for reporting my answer.

Answer:1689

Step-by-step explanation:

Delta Math

Answer:

6⅓ ft²

Step-by-step explanation:

Area of the figure = area of a trapezoid

= ½(a + b)h

Where,

a = 11⅓ft = 34/3 ft

b = 34/3 + 15/2 = (68 + 45)/6 = 113/6 ft

h = 6 ft

Plug in the values

Area = ½(34/3 + 113/6)*6

= (34/3 + 113/6)*3

= (68 + 113)/3

= 181/3

= 6⅓ ft²

Answer:

50 feet

Step-by-step explanation:

Set up a 3-dimensional coordinate system (see the attached image).

This setup shows an axis that runs North-South (South is negative, North is positive), an axis that runs East-West (East is positive, West is negative), and an axis that runs Up-Down (Up is positive, Down is negative).

The two points in question are then:

First person's location (12, -20, -12), and the second person's location is (-20, 10, 12).

The distance between two points  [tex]\left( x_1,\,y_1,\,z_1\right)[/tex]  and  [tex]\left( x_2,\,y_2,\,z_2\right)[/tex] is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2[/tex]

[tex]d=\sqrt{(-20-12)^2+(10-(-20))^2+(12-(-12))^2}\\\\d=\sqrt{(-32)^2+30^2+24^2}\\\\d=\sqrt{2500}\\\\d=50[/tex]

Answer:

Eliminating

Step-by-step explanation:

The given equations are ,

Here I would prefer to use Elimination Method. Since there is negative y and positive y in the equations . So we can eliminate y easily and then we can find x. Also , let's solve ,

On addition :-

→ 2x = -16

→ x = -16/2

→ x = -8

Answer:

64

Step-by-step explanation:

A P E X

Answer:

V=51, U=90 W= 39

Step-by-step explanation:

V= 51 Degrees (has told in the question)

U= 90 Degrees (Its A Right Angel Triangle, And Right Angle Is Always 90 Degrees)

W= 39 Degrees (Sum Of All Sides Of A Triangle = 180 Degrees

                           51 + 90 + W = 180

                           141 + W = 180

                           W = 180 - 141

                           W = 39 )

Hope It Helps,

Thanks

Answer:

f = 19.0

Step-by-step explanation:

By applying sine rule in the triangle given in the figure,

By applying triangle sum theorem,

m∠F + m∠G + m∠H = 180°

110° + m∠G + 40° = 180°

m∠G + 150° = 180°

m∠G = 30°

[tex]\frac{sin(\angle F)}{GH}= \frac{sin(\angle G)}{HF}=\frac{sin(\angle H)}{FG}[/tex]

[tex]\frac{sin(\angle 110^0)}{f}= \frac{sin(\angle 30^0)}{g}=\frac{sin(\angle 40^0)}{13}[/tex]

[tex]\frac{sin(\angle 110^0)}{f}= \frac{sin(\angle 40^0)}{13}[/tex]

[tex]\frac{0.9397}{f}= \frac{0.6428}{13}[/tex]

f = [tex]\frac{13\times 0.9397}{0.6428}[/tex]

f = 19.0

Answer:

ths is the real answer 您同性恋您同性恋您同性恋您同性恋您同性恋

您同性恋您同性恋

Step-by-step explanation:

Answer:

B, C, F

Step-by-step explanation:

It's asking 5 x (what?) is less than 5.

It has to be less than one to be a correct answer then.

Answer:

[tex] \huge\mathcal\colorbox{red}{\color{pink}{ᶛɲƧཡэʀ}}[/tex]

Value of x & y when

equations are

is

x = 1.5

y = 8