the roots of a polynomial equation are 0, 5, and -2. what is the equation written in a factored form and in standard form?
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Answer:

(5,1)

Step-by-step explanation:

Using the normal distribution and the central limit theorem, it is found that the power of the test is of 0.9992 = 99.92%.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The power of the test is given by the probability of a sample mean above 8, which is 1 subtracted by the p-value of Z when X = 8, so:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{8 - 8.5}{0.1588}[/tex]

[tex]Z = -3.15[/tex]

[tex]Z = -3.15[/tex] has a p-value of 0.0008.

1 - 0.0008 = 0.9992.

The power of the test is of 0.9992 = 99.92%.

To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213

Answer:

51

Step-by-step explanation:

6 dogs: 11 cats

12 dogs: 22 cats

18 dogs : 33 cats

18 + 33 = 51

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Step-by-step explanation:

mx + b = y

2x + 96 = y

-3x + 80 = z

What we want is y to be twice z, or y = 2z

If we're going to make 2z, then that means its equation needs to be doubled as well:

2x + 96 = 2(-3x + 80)

2x + 96 = -6x + 160

8x = 64

x = 8

Now to check our answer:

2 * 8 + 96

16 + 96 = 112

-3 * 8 + 80

-24 + 80 = 56

56 * 2 = 112

hope it helps :)

Answer:

C.-336

Step-by-step explanation:

g(25)=24(25‒39)

=24(‒14)

=‒336

i hope it helps you

Step-by-step explanation:

g(x) =24(x-39)

g(25)=24(25-39)

=24(-14)

=-336

=c

The school is about 14.95 meters tall, and the mirror is 8.25 meters from the school.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let Ф represent the angle Elijah makes with the ground, hence:

tanФ = 1.45/0.8

Ф = 61.11°

The angle of elevation to the building is 61.11°. Let h represent the height of the building.

tan(61.11°) = h/8.25

h = 14.95

The school is about 14.95 meters tall, and the mirror is 8.25 meters from the school.

Find out more on trigonometric ratio at: https://brainly.com/question/24349828

Answer:

it's 4

Step-by-step explanation:

you just divide 8 and 4

8÷4= 4

Answer:

Step-by-step explanation:

Answer:

by the way u typed in your answer I got -15n-12

Step-by-step explanation:

let me know If it is written another way

Answer:

its b

Step-by-step explanation:

Answer:

250

Step-by-step explanation:

gsv

Answer:

Tom paints the fence in 24 hours and Bill paints the fence in 12

Step-by-step explanation:

T = 1 fence / x hours

B = 1 fence / x - 12 hours

B + T = 1 fence / 8 hours

( 1 fence / x - 12 hours ) + ( 1 fence / x hours ) = 1 fence / 8 hours

( 1 / x - 12 ) + ( 1 / x ) = 1 / 8

multiply through all the denominators to get:

8x + 8 (x - 12 ) = x( x - 12 )

8x + 8x - 96 = x^2 - 12x

combine like terms to get:

x^2 - 28x + 96 = 0

factor to get:

( x - 4 ) ( x - 24 ) = 0

x = 4, 24

4 won't work, because that would mean Bill would take a negative amount of time to paint the fence by himself, so that means

Tom paints the fence in 24 hours and Bill paints the fence in 12

Answer:22.25 oz

Step-by-step explanation:

1 batch of cookies = 8.9 oz

2.5 batches of cookies = x oz

cross multiply

1x=8.9(2.5)

x=22.25 oz

Answer:

√2 + √6 / 4

Step-by-step explanation:

We know cos(-θ) = cosθ.

Therefore, cos(-15°) = cos15°.

cos15° = cos(45 - 30)

Answer:

x = 64

Step-by-step explanation:

2/x = 1/32

cross multiply

2 × 32 = x × 1

64 = 1x

64 = x

Answer:

a -(-6x)

b variay term

c-(-6)

d no answer

Answer:

Pentahedron

Step-by-step explanation:

A triangular prism with 5 faces is called Pentahedron.

It has 5 faces,  6 vertices and 9 edges.

5 faces -  Two are triangular faces and three are rectangular faces.

Answer:

its has 5 faces

Step-by-step explanation:

Hi! I hope you're enjoying your day!

Please remember that the coefficient is the number before a variable.

Also, if we have no coefficient, then we have a coefficient of 1.

Here we have

x^3 (no coefficient)

the power is after the ^ symbol or written above a number (like [tex]\bold{t^h}[/tex]) where h is the power of t

Hence, the answer is

[tex]\boxed{\boxed{\bold{3}}}[/tex]

Hope everything is clear.

Let me know if you have any other questions; if so, feel free to use the comment section.

#LearningDoesn'tEnd

#LearningIsFun

Answer:

570.87

Step-by-step explanation:

Answer:

The general term of the sequence is given by

T

n

=

a

n

2

+

b

n

+

c

The general term of the sequence is given by

T

n

=

a

n

2

+

b

n

+

c

Calculate a,b and c

Determine the 12th term of the sequence.

grade12 general-term sequence series

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answer comment

1 Answer

0

0

T3 - 6=6

T3=12

then T2-T1=4

6-T1=4

T1=2

T4-T3=8

T4-12=8

T4=20

Therefore terms= 2,6,12,20

1st difference= 4,6,8

2nd difference= 2,2,....

2a=2

a=1

3a+b=4

3(1) + b=4

b= 1

a+b+c= 2

c= 2-1- 1= 0

giving Tn= n^2 + n

T12 = 12^2 + 12 = 156

Answer:

5,90

Step-by-step explanation:

got it correct :)

The second solution for the system of equations is (5, 90).

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Linear equations may include one or more variables.

Given the system of equations,

y - 10 = 11x + x² and

y - 12x = 30

Consider second equation.

y - 12x = 30

⇒ y = 30 + 12x

Substitute y = 30 + 12x in the equation y - 10 = 11x + x², we get,

(30 + 12x) - 10 = 11x + x²

12x + 20 = 11x + x²

12x - 11x - x² + 20 = 0

-x² + x + 20 = 0

x² - x - 20 = 0

Discriminant = [tex]\sqrt{(-1)^{2} -(4*1*-20)}[/tex] = √(1 + 80) = √81 = ±9

x = (1 + 9)/2 and x = (1 - 9) / 2

x = 5 and x = -4

The solution x = -4 and y = -18 is given.

Other solution is,

x = 5

y = 30 + 12x = 30 + 60 = 90

Hence the second solution is (5, 90).

Learn more about Linear Equations here :

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Given:

The difference between 7 and the sum of 1.0006 and 4.06.

To find:

The mathematical expression for given statement and it value.

Solution:

Sum of 1.0006 and 4.06 = [tex](1.0006+4.06)[/tex]

The expression for the difference between 7 and the sum of 1.0006 and 4.06 is

[tex]7-(1.0006+4.06)[/tex]

On simplification, we get

[tex]7-(1.0006+4.06)=7-5.0606[/tex]

[tex]7-(1.0006+4.06)=1.9394[/tex]

Therefore, the difference between 7 and the sum of 1.0006 and 4.06 is 1.9394.

Answer:

  20 inches

Step-by-step explanation:

The base, height, and area of a triangle are related by the formula ...

  A = 1/2bh

If you know two of these, you can use this formula to find the third.

  440 in² = 1/2b(44 in)

  (440 in²)/(22 in) = b = 20 in . . . . . . divide by the coefficient of b

The length of the base is 20 inches.

Answer:

[6

-1.5]

the six and 1.5 are in the same bracket the 6 in ontop

In this question, to find the total height first, we must also take into consideration the acceleration due to gravity as well. To find the distance by which acceleration due to gravity pulls the ball down must know the Initial velocity.

In the answer key, it says that gravity changes the ball's height by a distance of -5t^2

Is initial velocity in this question 0 or 14m/s? Because if it is 14, then gravity should change the balls position by -(14+5t^2), not -5t^2, because if I remember correctly, the formula for finding distance is vt(initial velocity)+(1/2)at^2 ,and not just (1/2)at^2

Answer:

$975

Step-by-step explanation:

The car is rented for 3 weeks

the rent is for a week is $280 so for three weeks it would be

3*28 = $840

now we need to add the per mile price to this

1 mile = $0.15 for 900 miles it would be

900*(0.15) = 135

So the total rental cost is

$840 + $135 = $975

Answer:

Step-by-step explanation:

Opposite angles of a parallelogram are congruent, so:

[tex]112=y-9 \longrightarrow y=121[/tex]

and adjacent angles are supplementary, so:

[tex]112+x+1=112+z+3=180 \longrightarrow x=67, z=65[/tex]

Answer:

The length scale factor = \(\frac{24}{6} = 4\)

The area scale factor = \(4^2 = 16\)

\[\text{Larger area} = 16 \times \text{smaller area}\]

\[50.3 \times 16 = 804.8\]

The area of the large clock face is approximately 804.8 cm2.

Step-by-step explanation:

The length scale factor = \(\frac{24}{6} = 4\)

The area scale factor = \(4^2 = 16\)

\[\text{Larger area} = 16 \times \text{smaller area}\]

\[50.3 \times 16 = 804.8\]

The area of the large clock face is approximately 804.8 cm2.

Answer:

a) the linear scale factor = 5/3

b) the volume scale factor = 125/27

c) 70.2 cm³

Step-by-step explanation:

r₁ = 15 cm, r₂ = 25 cm

r₂/r₁ = 25/15 = 5/3

They are similar, so h₂/h₁ = 5/3

a) the linear scale factor = 5/3

b) the volume scale factor = (5/3)³ = 125/27

c) V₂/V₁ = 125/27

Given V₂ = 325 cm³, V₁ = 325*27/125 = 70.2 cm³

Answer:6 degrees

Step-by-step explanation: