there are ten names in a hat. how many ways are there to draw three names for first, second and third prizes from the hat, assuming each person can win only one prize

The correct choice of this question with the given polynomial is "The zeros are -2 and 8, because the factors of g are (x + 2) and (x - 8)". (Correct choice: H)

In this case we have a second order polynomial of the form x² - (r₁ + r₂) · x + r₁ · r₂, whose solution is (x - r₁) · (x - r₂) and where r₁ and r₂ are the roots of the polynomial, which can be real or complex numbers but never both according the fundamental theorem of algebra.

If we know that g(x) = x² - 6 · x - 16, then the factored form of the expression is g(x) = (x - 8) · (x + 2). Hence, the correct choice of this question with the given polynomial is "The zeros are -2 and 8, because the factors of g are (x + 2) and (x - 8)". [tex]\blacksquare[/tex]

To learn more on polynomials, we kindly invite to check this verified question: https://brainly.com/question/11536910

Answer:

Step-by-step explanation:

Answer:

Los ángulos coterminales son ángulos que tienen como lado inicial el eje x y tienen el lado terminal común.

Por ejemplo un ángulo de 20º tendría un ángulo cotermiunal en 360º+20º=380º ó en 360º×2+20º= 720º+20º=740º.

a)2560º÷360º =7 ⇒  7×360º+40º, luego 40º será su ángulo coterminal entre 0º y 360º

b) 3.600º÷360º= 10 ⇒ 10×360º+0, luego 0º será su ángulo coterminal entre 0º y 360º

c) 1.090º÷360º= 3 ⇒ 3×360º+10º, luego 10º será su ángulo coterminal entre 0º y 360º

Step-by-step explanation:

Primero lo que necesitas saber es que los ángulos coterminales son ángulos que tienen como lado inicial el eje x y tienen el lado terminal común.

Por ejemplo: un ángulo de 20º tendría un ángulo coterminal en 360º+20º=380º ó en 360º×2+20º= 720º+20º=740º.

Apartir de lo anterior, aplicamos lo siguiente:

2560º÷360º =7 ⇒  7×360º+ 40º,

Respuesta: 40º será su ángulo coterminal entre 0º y 360º.

Answer:

A slope triangle is an imaginary triangle that helps you find the slope of a line or a line segment

Step-by-step explanation:

hope this helps

pls mark brainliest

Answer:

39.76

Step-by-step explanation:

8 x 8.3 = 66.4

2640/66.4 = ( when rounded to the nearest tenth) 39.76

Answer:

500^1/3

Step-by-step explanation:

Since it is a cube root, the exponent is 1/3.

Answer:

Step-by-step explanation:

Remark

You have to convert one of the numbers. It doesn't matter which one, but you can't simply divide one into the other the way the numbers stand.

Conversion

20 kilograms = 20 * 1000 grams / kg

20 kilograms = 20000 grams

Formula

Number of books = mass of bookcase / mass of 1 book

Givens

number of books = ??

mass of bookcase = 20000 grams

mass of one book = 500 grams

Solution

number of books = 20000 / 500

number of books = 40

Answer: 40 books =  mass of bookcase

Answer:

[tex]8\frac{2}{6}\\\\2\frac{1}{5}[/tex]

Fractions are sometimes the same as dividing, for this case, that rule applies.

[tex]\frac{50}{6}\\\\\frac{11}{5}[/tex]

↑ These improper fractions translate to...

[tex]\frac{50}{6} = 8\frac{1}{3} -- > 8\frac{2}{6} \\\\ \frac{11}{5} = 2\frac{1}{5}[/tex]

Answer:

1)  D. 8 2/6 hotdogs

2)  B. 2 1/5 cakes

Step-by-step explanation:

1) If she's dividing 50 hotdogs equally among 6 people, then you would divide 50 by 6 to find how many each person gets.
note: 50 ÷ 6 is the same as [tex]\frac{50}{6}[/tex].

[tex]\frac{50}{6}[/tex] =  [tex]8\frac{2}{6}[/tex]

6 can go into fifty 8 times, so there is a whole number of 8. There is 2/6 left over, so the final result is [tex]8\frac{2}{6}[/tex].

2) If Sako makes 11 cakes and wants to share it equally among 5 people, we can divide 11 by 5 to find how many each person gets.

[tex]\frac{11}{5} =2\frac{1}{5}[/tex]

5 can go into eleven 2 times, so there is a whole number of 2. There is 1/5 leftover, so the final result is [tex]2\frac{1}{5}[/tex].

Hence, the answers are D, and B.

hope this helps!

Answer:

Step-by-step explanation:

This is a horrible credit union  they charged $3, just for her to have access to her own money, then they overdraft fee charged  her for $20  :/   she spent 62 dollars , that she had, but b/c they charged her 3 dollars to access her money,  it made her also get the overdraft fees.  This seems like usery to me and this bank should be closed.  Fined ,  and barred from doing business.  >:/  

so on the 11th she was -23  dollars,  she was in debt to her bank 23 dollars,  

88-23=65

on the 16th she was 65-43 = 22    postive :)

Answer:

[tex]A = 43.1\ cm^2[/tex]

Step-by-step explanation:

Step 1:  Determine the area

[tex]A=\frac{1}{4}\sqrt{5(5+2\sqrt{5})}*a^2[/tex]

[tex]A=\frac{1}{4}\sqrt{5(5+2\sqrt{5})}*(5\ cm)^2[/tex]

[tex]A = \frac{1}{4}*6.8819*25\ cm^2[/tex]

[tex]A = 43.1\ cm^2[/tex]

Answer:  [tex]A = 43.1\ cm^2[/tex]

Answer:

c. 8

Step-by-step explanation:

Length of an arc

Given

Solving

Answer:

10

Step-by-step explanation:

Lower quartile (Q₁) = 25

Upper quartile (Q₃) = 35

Interquartile range (IQR) = Q₃ - Q₁ = 35 - 25 = 10

(see attachment)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

x=3i, -3i

Answer:

Top-

11.5 or the square root of 133

Bottom-

15.3 or the square root of 235

Answer:

c) [tex]x=\sqrt{133}[/tex]

d)[tex]x=\sqrt{235}[/tex]

Step-by-step explanation:

Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex]

c) Solve for that side length and then solve for x

[tex]4^2+y^2=10^2\\y=\sqrt{133} \\(\sqrt{84} )^2+7^2=x^2\\x=\sqrt{133}[/tex]

d) Solve for that side length and then solve for x

[tex]5^2+y^2=10^2\\y=\sqrt{(16^2-5^2)} \\(\sqrt{231} )^2+7^2=x^2\\x=\sqrt{235}[/tex]

Hey there!

4 + 5x + 66 = x + 10

70 + 5x = x + 10

5x + 70 = x + 10

SUBTRACT x to BOTH SIDES

5x + 70 - x = x + 10 - x

5x + 70 - 1x = 1x + 10 - 1x

SIMPLIFY IT!
4x + 70 = 10

SUBTRACT 70 to BOTH SIDES

4x + 70 - 70 = 10 - 70

SIMPLIFY IT!
4x = -60

DIVIDE 4 to BOTH SIDES

4x/4 = -60/4

SIMPLIFY IT!
x = -60/4

x = -15

Therefore, your answer is: x = -15

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

Given :

#1 : Combine like terms on each side.

#2 : Subtract x from each side.

#3) Subtract 70 from each side.

#4) Divide 4 from each side.

Solution : x = -15

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Since there are a total of 4 colors, and there are 5 of each colors, the total marbles in the bad would be;

5 x 4 = 20

If a color is selected at random the probability would be

[tex]\frac{part}{whole}[/tex]

our part is 5

our whole is 20

so the probability would be;

[tex]\frac{5}{20}[/tex] or [tex]\frac{1}{4}[/tex] when reduced

Hope this helps!

Answer  

1/4

Step-by-step explanation:

I dont know im just guessing sorry

I might not be correct.

Answer:

$28

Step-by-step explanation:

Given:

data = [22,30,35,25,25,20,27]

For eight night, the new list is:

new_data = [22,30,35,25,25,20,27,x]

Mean = 26.50

Mean Formula:

[tex]\displaystyle \large{m=\dfrac{x_1+x_2+x_3+...+x_n}{n} }[/tex]

Therefore:

[tex]\displaystyle \large{26.50=\dfrac{22+30+35+25+25+20+27+x}{8}}[/tex]

Multiply both sides by 8:

[tex]\displaystyle \large{26.50\cdot 8=\dfrac{22+30+35+25+25+20+27+x}{8} \cdot 8}\\\displaystyle \large{212=22+30+35+25+25+20+27+x}[/tex]

Solve for x:

[tex]\displaystyle \large{212=22+30+35+25+25+20+27+x}\\\displaystyle \large{212=184+x}[/tex]

Subtract 184 both sides:

[tex]\displaystyle \large{212-184=184+x-184}\\\displaystyle \large{28=x}[/tex]

Therefore, she will earn $28 in eighth night

The attachment below is the result of combining all eighth data as we get 26.5 through python language with numpy package.

Answer: $28.

Step-by-step explanation: To solve this problem, we should first find the mean of the data with the seven payments that are given already:

22 + 30 + 35 + 25 + 25 + 20 + 27 = 184.

184 / 7 = 26.2857142857.

In order to figure out how much she made the eighth night with the mean of the data being $26.50, we can pick a number and add it to 184 (the total of the seven payments), and divide the total by 8.  The number we can try is 28. The work is done below:

184 + 28 = 212.

212 / 8 = $26.50.

Therefore, Laura's payment on the eighth night was $28.

Hope this helps! :)

Answer:

n=7

[tex]3 {n}^{2} = 147 \\ {n}^{2} = \frac{147}{3} \\ \sqrt{ {n}^{2} } = \sqrt{49} \\ n = 7[/tex]

Answer:

56 questions.

Step-by-step explanation:

percent got wrong = 100% - percent got correct.

percent got correct = 72%

percent got wrong = 100%-72% = 28% or 0.28

questions got wrong = total questions * percent got wrong.

total questions = 200

questions got wrong = 200*0.28 = 56 questions

Therefore, Sophie got 56 questions wrong.

Hope this helps!

Please mark as brainliest!

Step-by-step explanation:

table for y = 3x - 2 and graph

the resulting line.

*

for y = 2x + 2 and

graph the resulting

line.

.

2

- 1

0

1

2

1

-8

--5

-2.

1

Answer: A

Step-by-step explanation:

Answer:

2147483648

Step-by-step explanation:

The pattern being used is x4.

8 x 4 = 32

32 x 4 = 128

128 x 4 = 512

512 x 4 = 2048

2048 x 4 = 8192

8192 x 4 = 32768

32768 x 4 = 131072

131072 x 4 = 524288

524288 x 4 = 2097152

2097152 x 4 = 8388608

8388608 x 4 = 33554432

33554432 x 4 = 134217728

134217728 x 4 = 536870912

536870912 x 4 = 2147483648

Answer:

measurement precision

Step-by-step explanation:

The consistency of repeated measurement, often expressed by the number of decimal places, is called a measurement's precision.

Answer:

Step-by-step explanation:

Area of composite shapes:

13) Figure 1:

         Figure1 is a rectangle.

         l = 4 cm & w = 2 cm

Area of figure1 = l * w

                         = 4 * 2

                         = 8 cm²

 Figure2:

              Figure2 is a parallelogram

               base = b = 4 cm

                  h = 4 cm

   Area of figure2 = b * h

                             = 4 * 4

                            = 16 cm²

Area of composite shape = 8 + 16

                                          = 24 cm²

14) Figure1:

       Figure 1 is a trapezium. a & b are parallel sides and h is the height

       a = 4 cm ; b = 6 cm; h = 4 -2 = 2 cm

[tex]\sf Area \ of \ figure1 =\dfrac{(a+b)*h}{2}[/tex]

                        [tex]= \dfrac{(4 +6)*2}{2}\\\\= 10 \ cm^{2}[/tex]

Figure2:

   Figure2 is rectangle. l = 6 cm ; w = 2 cm

  Area of figure2 = 6*2

                             = 12 cm²

Area of composite shape = 10 + 12

                                          = 22 cm²

15) Figure 1 & figure 2:

           Figure 1 and  figure 2 are congruent triangles

             base = b = 3 cm & h= 4 cm

[tex]\sf area \ of \ figure1 \ and \ figure 2 = 2*\dfrac{1}{2}b*h[/tex]

                                        = b *h

                                         = 3 * 4

                                        = 12 cm²

Figure3:

    Figure 3 is a square.

      side =  3 cm

  Area of figure3 = side *side

                             = 3 * 3

                            = 9 cm²

Area of composite shape = 12 + 9

                                          = 21 cm²                      

Answer:

He had 31 points in the first round.

Step-by-step explanation:

Answer:

39-8= 31

Step-by-step explanation:

let the first round be x

second round =8

first round + the second round = 39

therefore, x+8=39

collect like terms

x= 39-8= 31.

so the answer is 31