The factorization of
[tex] 4p {}^{2} + 49q {}^{2} + 1 - 28pq - 14q + 4p[/tex]
is​

Answer:

I'm not good at math

Step-by-step explanation:

Answer:

(a) x = [tex]128^{o}[/tex]

(b) x = [tex]74^{o}[/tex]

Step-by-step explanation:

A. sum of angles in a polygon = (n - 2) 180

The polygon given is an irregular pentagon, where n = 5

So that;

sum of angles in a pentagon = (5 - 2) 180

                        = 3 x 180

                        = [tex]540^{o}[/tex]

Thus,

x + 90 + 76 + 110 + 136 = [tex]540^{o}[/tex]

x + 412 = [tex]540^{o}[/tex]

x = [tex]540^{o}[/tex] - 412

x = [tex]128^{o}[/tex]

B. The polygon given is an irregular pentagon, where n = 5.

Let the supplementary angle with angle 38 be represented by y,

y + 38 = 180

y = 180 - 38

  = [tex]142^{o}[/tex]

y = [tex]142^{o}[/tex]

Let the supplementary angle with x be represented by z, so that;

z + 72 + 120 + 100 + 142 = [tex]540^{o}[/tex]

z + 434 = [tex]540^{o}[/tex]

z = [tex]540^{o}[/tex] - 434

  = [tex]106^{o}[/tex]

z = [tex]106^{o}[/tex]

But, x + z = [tex]180^{o}[/tex]

Then;

x + [tex]106^{o}[/tex] = [tex]180^{o}[/tex]

x = [tex]180^{o}[/tex] - [tex]106^{o}[/tex]

  = [tex]74^{o}[/tex]

x = [tex]74^{o}[/tex]

Answer:

[tex]x=\frac{3}{2}[/tex]

Step-by-step explanation:

The figure shown represents a segment of length 23 divided into five shorter segments. Of these five shorter segments, one has length 17 and four have length [tex]x[/tex]. Therefore, we have the following equation:

[tex]17+x+x+x+x=23,\\17+4x=23,\\4x=6,\\x=\boxed{\frac{3}{2}}[/tex]

we assume the height of the triangle is x,

so the base length will be x+4

the triangle area will be area = 1/2 ( base * height)

48 = 1/2 (x + 4) x

96 = x2 + 4x

96 + 4 = x2 + 4x + 4

100 = (x + 2)2

10 = x + 2 (for the square 100, we ignore the -10, minus is meaningless in length )

x = 8

x + 4 = 8 + 4 = 12

so the height for the triangle is 8 unit, base is 12 unit,

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Answer:

4/9

Step-by-step explanation:

The probability that the spinner lands on a 5 or a multiple of 3 will be 0.4444 or 44.44%.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

You spin a spinner with 9 equal spaces numbered 1 through 9.

Then the probability that the spinner lands on a 5 or a multiple of 3 will be

The total number of the event will be

Total events = 9

The favorable event will be

Favorable = 1 {5} and 3 {3, 6, 9}

Then the probability will be

P = 1/ 9 + 3/ 9

P = (1 + 3) / 9

P = 4/9

P = 0.4444

P = 44.44%

More about the probability link is given below.

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Answer:

Step-by-step explanation:

We have two sides of the triangle and the included angle and we need to find the missing side.

Use the law of cosines:

Answer:

1.1+2. =3

2.1+2+3 =6

3.1+2+3+4 =10

4.1+2+3+4+5=15

5.1+2+3+4+5+6=21

6.1+2+3+4+5+6+7=28

triangle numbers

Answer:

Step-by-step explanation:

Diagram  (n)               Number of circles  ([tex]T_n[/tex])

 1                                       3

 2                                      6

 3                                      10

 4                                       15

 5                                       21  

 6                                       28

Pattern:

      [tex]T_n = \frac{(n+1)(n+2)}{2}[/tex]          

Where n = diagram number,        

OR

Diagram                                               Number of circles

 1                                                                  1 + 2

 2                                                                 1 + 2 + 3

 3                                                                  1 + 2 + 3 + 4

 4                                                                  1 + 2 + 3 + 4 + 5

 5                                                                  1 + 2 + 3 + 4 + 5 + 6

 6                                                                  1 + 2 + 3 + 4 + 5 + 6 + 7

 n                                                                  1 + 2 + 3 + 4 + 5 + . . . + (n + 1)  

Answer:

Step-by-step explanation:

35

Answer:

Triangle 2

Step-by-step explanation:

The translation is a type of transformation, where the figure is just translated or simply moved from its original place.

The figure is not rotated or dilated but simply moved.

Here, we can see that only figure or triangle 2 is like the triangle ABC. Other triangles have undergone other transformations.

So, the correct answer is triangle 2.

~Hope this helps~

Answer:

The compound interest one is better by about 14 bucks.

Step-by-step explanation:

Simple interest:

500(1+.06*10)=800

Compound interest:

500(1+.05)¹⁰=814.45

Answer:

Not the same

Because if it derives, it will be positive and the other negative

Answer:

(-2, -1)

Step-by-step explanation:

The centre of a circle is located at the mid-point of any diameter, hence we take the average of the coordinates of the end-points.

Cx = (2-6)/2 = -2

Cy = (6-8)/2 = -1

So the centre is located at (-2, -1)

Answer:

100

Step-by-step explanation:

If there are 100 birds on a tree and you shoot 1, that bird is still on the tree. So there are 100 birds.

Answer:

it will be -3

Step-by-step explanation:

[tex]\green{hello} [/tex]

-3 is the correct option

Answer:

$138.75

Step-by-step explanation:

t = total purchase

t = 125 + 125(11%)

 = 125 + 13.75

t = 138.75

The total purchase was $138.75.

Answer:There is a button that says answer you click on answer and then give the answer and then once your finished click the green button on top that says add your answer.

Step-by-step explanation:

Answer:

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Step-by-step explanation:

Either you can click on the "answer" button on the question in main menu, or you can click on the question, and then click the "add your answer" button.

---

hope it helps

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Assuming that there are only 2 flavors of the sweet ⇻ strawberry & orange.

____________________

P (strawberry flavored sweet) = 0.8

P (orange flavored sweet) = ?

____________________

Now, we know that ➳ the value of probability ≤ 1. So, the probability of orange flavored sweets is less than 1.

____________________

So,

P (orange flavored sweet) = 1 - P (strawberry flavored sweet)

P (orange flavored sweet) = [tex]\large\bold{1.0 - 0.8}[/tex]

P (orange flavored sweet) = [tex]\large\bold{0.2}[/tex]

____________________

✐ The probability that the sweet is orange flavored is 0.2

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer: (below)

Step-by-step explanation:

The functions shown are exponential functions, which have the form f(x) = a*(b)^x. "a" represents the intial value, while "b" represents the growth factor.

To determine whether a function is growing or decaying, you look at the growth factor. If the growth factor is greater than 1, the function is growing, since each value is getting larger and larger. Meanwhile, if the growth factor is between 0 and 1, the function is decaying, since each value is getting smaller and smaller.

Now, back to this question, let's look at our functions. In the function on the left, the growth factor is 0.87, which is between 0 and 1, so this function is decaying. For the function on the right, the growth factor is 1.25, which is greater than 1, so this function is decaying. Next, let's look at our graphs. In the left graph, the function is growing, so it matches with the function on the right. Meanwhile, in the right graph, the function is decaying, so it matches with the function on the left.

Hope this helps!

Answer:

C

Step-by-step explanation:

Answer:C

Step-by-step explanation:

Answer:

I don't understand the language but I can do it

Answer:

Joe Will need to pay a commission of [$7.50]. The Total amount Charged by the broker will be [$17.50]

Step-by-step explanation:

Joe will need to pay a commission of [tex]\$7.50[/tex] and Total amount charged by broker will be [tex]\$17.50[/tex].

Commission is a form of money pay as remuneration for services rendered or products sold.

We have,

Joe's current portfolio  [tex]=\$ 50,000[/tex]

Price of one stock [tex]=\$15[/tex]

So,

As his portfolio is less than [tex]\$100,000[/tex], he have to pay [tex]15\%[/tex] and [tex]\$10[/tex] trade fee,

So,

Price of [tex]50[/tex] shares [tex]=50*15=\$750[/tex]

Commission charge [tex]=1\%\ of\ 750[/tex]

                                  [tex]=\$7.5[/tex]

So, commission of [tex]\$7.5[/tex] will be paid.

So,

Total amount charged by Broker [tex]=10+7.5=\$17.5[/tex]

Hence, we can say that Joe will need to pay a commission of [tex]\$7.50[/tex] and Total amount charged by broker will be [tex]\$17.50[/tex].  .

To know more about probability click here

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Answer:

Step-by-step explanation:

4x²+9x+2= 4x²+8x+x+2= 4x(x+2)+1(x+2)=(4x+1)(x+2)

Answer:

Step-by-step explanation:

4x^2+9x+2

4x^2+(8+1)x+2

4x^2+8x+x+2

4x(x+2)+1(x+2)

(4x+1)(x+2)

the answer is 15 ten thousand because all the other except this is equal to 15,000

Answer:

Angle #4

Step-by-step explanation:

4 & 5 are equal, and opposite.

1 & 2 are also congruent by this standard.

Answer:

C is the answer of this question

Answer:

answer:

(x+34)+(2X+2)=180

3X+36=180

X=72

Step-by-step explanation: