Factor the following quadratic expression.

2p2−19p+35


I don't get this

Answer:

2520°

Step-by-step explanation:

Formula : (n - 2) 180, n = sides

(16-2) 180 --> (14) 180 --> 2520

Answer:

that is funny. That is where my dad was born and now he has horrible breathing issues

Step-by-step explanation:

Answer:

, Im in Arizona. Also what's this question about, that you disagree or agree?

Answer:

It's linear

Step-by-step explanation:

Answer:

Step-by-step explanation:

a function representing a st. line is linear.

Answer:

9e^5f^6

Step-by-step explanation:

Answer:

$96

Step-by-step explanation:

$36/3= $12 per hour

$12 * 8 = $96

Answer:

[tex] \frac{4}{10} [/tex]

Step-by-step explanation:

Add all the bows together to get your total amount of bows, 5+1+4=10

this will be your demoninator.

there is 4 purple bows so that will be your numerator.

[tex] \frac{purple \: bows}{total \: number \: of \: bows} [/tex]

Probability can be answered as fraction, decimal and percentage..

Answer:

Step-by-step explanation:

Probability = favorable outcomes / total outcomes

Total number of bows:

Number of purple bows:

Probability of choosing a purple bow:

Answer:

288xy

Step-by-step explanation:

First, you multiply 12 by 24 and you get 288. Next, you can't forget the variables, so you add those to the end and get, 288xy.

Answer:

So the sum of a triangle is 180° so 45°+27°= 72°

180° - 72°= 108°

X = 108°

Given:

The combination C(14,10).

To find:

The value of the given combination.

Solution:

We know that,

[tex]C(n,r)=\dfrac{n!}{r!(n-r)!}[/tex]

Using this formula, we get

[tex]C(14,10)=\dfrac{14!}{10!(14-10)!}[/tex]

[tex]C(14,10)=\dfrac{14\times 13\times 12\times 11\times 10!}{10!(4)!}[/tex]

[tex]C(14,10)=\dfrac{14\times 13\times 12\times 11}{4\times 3\times 2\times 1}[/tex]

[tex]C(14,10)=7\times 13\times 11[/tex]

[tex]C(14,10)=1001[/tex]

Therefore, the value of C(14,10) is 1001 and the correct option is B.

The equivalent expression of "[tex]C(14,10)[/tex]" is "1001".

using formula:

[tex]\to ^n C_r=\frac{n!}{r!(n-r)!}[/tex]

putting the given value into the above formula:

[tex]\to ^{14} C_{10}=\frac{14!}{10!(14-10)!}[/tex]

              [tex]=\frac{14 \times 13 \times 12 \times 11 \times 10! }{10! \times 4 \times 3 \times 2 \times 1}\\\\=\frac{14 \times 13 \times 12 \times 11 }{ 4 \times 3 \times 2 \times 1}\\\\={7 \times 13 \times 11 }{}\\\\=1001[/tex]

Therefore, the final answer is "1001".

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Answer:

The area of the shaded region is about 38.1 square centimeters.

Step-by-step explanation:

We want to find the area of the shaded region.

To do so, we can first find the area of the sector and then subtract the area of the triangle from the sector.

The given circle has a radius of 6 cm.

And the given sector has a central angle of 150°.

The area for a sector is given by the formula:

[tex]\displaystyle A=\pi r^2\cdot \frac{\theta}{360^\circ}[/tex]

In this case, r = 6 and θ = 150°. Hence, the area of the sector is:

[tex]\displaystyle \begin{aligned}A&=\pi(6)^2\cdot \frac{150}{360}\\ &=36\pi\cdot \frac{5}{12}\\&=3\pi \cdot 5\\&=15\pi \text{ cm}^2\end{aligned}[/tex]

Now, we can find the area of the triangle. We can use an alternative formula:

[tex]\displaystyle A=\frac{1}{2}ab\sin(C)[/tex]

Where a and b are the side lengths, and C is the angle between them.

Both side lengths of the triangle are the radii of the circle. So, both side lengths are 6.

And the angle C is 150°. Hence, the area of the triangle is:

[tex]\displaystyle A=\frac{1}{2}(6)(6)\sin(150)=18\sin(150)[/tex]

The area of the shaded region is equivalent to the sector minus the triangle:

[tex]A_{\text{shaded}}=A_{\text{sector}}-A_{\text{triangle}}[/tex]

Therefore:

[tex]A_{\text{shaded}}=15\pi -18\sin(150)[/tex]

Use a calculator:

[tex]A_{\text{shaded}}=38.1238...\approx 38.1\text{ cm}^2[/tex]

The area of the shaded region is about 38.1 square centimeters.

Answer:

y = 35x + 200

Step-by-step explanation:

It's 35 per month (x) and you add the start no matter what so that's the 200.

Answer:

31.25 miles

Step-by-step explanation:

Answer:

12.

Step-by-step explanation:

That would be sum of wieghts/average weight

= 540 / 45

= 12.

The number of students having an average of 45 kg will be 12.

Average is defined as the ratio of the sum of the number of the data sets to the total number of the data. The average actually determines the middle value of the data.

Given that in a continuous series the average weight of some students Is 45 kg and the sum of their weight is 540 kg.

The average is calculated by the formula below,

Average = (Sum of the data) / Number

Number = ( Sum of the data) / Average

Number = 540 / 45

Number = 12

The total number of students is 12 in number.

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answer

a is 39750000

b is 99375

Step-by-step explanation:

big numbers

Answer:

Step-by-step explanation:

The number is between

and

and

Possible numbers are:

Only one of the numbers, 56 is divisible by 4

Answer:

The possible number of question are

232,228,224, and 220.

Step-by-step explanation:

Given that Alice correctly solves 35 problems

From the statement, 35 represents between 60 and 65 percent of the whole problem.

Let x be the total number of questions and choose 61% as the percentage Alice solved then,

61% of x = 35

0.61x = 35

x = 35/0.61

= 57.37

Aproximately 57

The possible answer are 58, 57, 56, 55

Since this represent 1 part, the question on test are:

54 * 4 = 232

or

57 * 4 = 228

or

56 * 4 = 224

or

55 * 4 = 220

Answer:

243.5 in²

Step-by-step explanation:

Given :

Dimension of rectangule 1 :

10 inches * 13 1/2 inches

Area = (10 * 27/2) inch² = 135 in²

Dimension of rectangle 2 :

10 1/3 inch * 10 1/2 inch

Area = (31/3 * 21/2) in² = 108.5 in²

Tot square inch of construction paper needed /

(135 in² + 108.5 in²) = 243.5 in²

Answer:

82.35%

Step-by-step explanation:

60 divided by 340=0.17647058823

Multiply that by 100 and you get 17.647058823

Next, round and you get 17.65

100-17.65=82.35

Answer:

576

Step-by-step explanation:

U have to multiple 9 4 and 16 and get 576 and it’s base times Height

Answer:

Step-by-step explanation:

Number of laps run by Runner A = x

Number of laps run by Runner B = y

Runner B ran 6 more than twice as many laps as Runner A.

b = 6 + 2a

Together they ran a total of 30 laps.

a + b = 30

Part A: Write an equation for this situation. Use a variable to represent the number of laps for Runner A.

Part B: How many laps did Runner A run?

a + b = 30

b = 6 + 2a

Hence:

a + 6 + 2a = 30

3a = 30 - 6

3a = 27

a = 27/3

a = 9 laps

Part C: How many laps did Runner B run?

a + b = 30

b = 30 -9

b = 21 laps

Answer: 76

Step-by-step explanation:

Answer:

3x^{2}+11-14 hi

Step-by-step explanation:

Answer:

3(x²-1)

Step-by-step explanation:

=3x²-3

=3(x²-1)

9514 1404 393

Answer:

  138°

Step-by-step explanation:

The measure of arc ABC is the measure of the corresponding central angle, ∠ANC. That angle is shown as 138°, so the measure of arc ABC is 138°.

Measure of an angle  ABC is 111 degrees i.e. [tex]m[/tex]∠ABC = 111 degrees.

The angle subtended by an arc at the center of the circle is double the angle subtended by the same arc at the circumference of the circle.

According to the given question

The angle subtended at the center of circle, i.e. ∠ANC = 138 degrees.

The exterior angle at the center is (360 - 138)degrees = 222 degrees

by angle subtended by an Arc of a circle theorem

[tex]m[/tex]∠ABC = [tex]\frac{222}{2}[/tex] [tex]= 111 degrees[/tex]

Hence, [tex]m[/tex]∠ABC = 111 degrees.

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Answer:

31.4 ft³

Step-by-step explanation:

Using the relation :

Volume, V = πr²h

Height = 10 feets ; diameter = 2 feets, radius, r = 2 /2 = 1 feet

Volume , V = π * 1^2 * 10

V = 1 * 10 * 3.14

V =31.4 feet³

Hence, the volume of material needed to produce 1 metal rod is 31.4 ft³