One zero of the polynomial function f(x) = x3 − x2 − 12x is x = 0. What are the zeros of the polynomial function?

Answer:

it's 4,8,8

Step-by-step explanation:

hope it helps

Using the normal distribution, it is found that 25.14% of the batteries will last more than 420 hours.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

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

In this problem, we have that the mean and the standard deviation are given, respectively, by:

[tex]\mu = 400, \sigma = 30[/tex].

The proportion of the batteries will last more than 420 hours is one subtracted by the p-value of Z when X = 420, hence:

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

[tex]Z = \frac{420 - 400}{30}[/tex]

Z = 0.67

Z = 0.67 has a p-value of 0.7486.

1 - 0.7486 = 0.2514.

0.2514 = 25.14% of the batteries will last more than 420 hours.

More can be learned about the normal distribution at https://brainly.com/question/24663213

#SPJ1

Answer:

Below in bold.

Step-by-step explanation:

m < 3 = 59 degrees (alternate angles)

m < 2 = 180 - 59 = 121 degrees  ( adjacent angles)

The area of the first, second, third, and fourth circles will be 56.72 cm², 36.3 ft², 167.33 m², and 188.6 yd² respectively.

It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.

Then the radius and diameter are given below.

[tex]\rm r_1 = 4 \dfrac{1}{4} = \dfrac{17}{4} = 4.25 \ cm\\\\\\r_2 = \dfrac{d}{2} = \dfrac{6\frac{4}{5}}{2} = \dfrac{34}{10} = 3.4 \ ft\\\\\\r_3 = \dfrac{d}{2} = \dfrac{14.6}{2} = 7.3 \ m\\\\\\r_4 = 7\dfrac{3}{4} = \dfrac{31}{4} = 7.75 \ yd[/tex]

Then the area of the circle is given as

Area = π × r²

Then the area of the first circle will be

Area = π × r₁²

Area = 3.14 × 4.25²

Area = 56.72 square cm

Then the area of the second circle will be

Area = π × r₂²

Area = 3.14 × 3.4²

Area = 36.3 square ft

Then the area of the third circle will be

Area = π × r₃²

Area = 3.14 × 7.3²

Area = 167.33 square m

Then the area of the fourth circle will be

Area = π × r₁²

Area = 3.14 × 7.75²

Area = 188.6 square yd

More about the circle link is given below.

https://brainly.com/question/11833983

#SPJ1

Answer:

1/2

Step-by-step explanation:

Answer:

A quart is a little less then a liter

Step-by-step explanation:

An easy way to figure out liters to gallons, is that a quart is a little less than a liter and 4 liters is a little more than 1 gallon. To be exact, 1 liter is 0.264 gallon (a little more than a quart), and 4 liters is 1.06 gallons.

---

Hope this helps you!

Answer:

A quart is a little less than a liter and 4 liters is more than 1 gallon. To be exact, 1 liter is 0.264 gallons (a little more than a quart), and 4 liters is 1.06 gallons.

Step-by-step explanation:

Answer:

yes

yes

no

yes

yes

no

Step-by-step explanation:

Check the picture below.

Photosynthesis is a process used by plants and other organisms to convert light energy into chemical energy that, through cellular respiration, can later be released to fuel the organism's activities

Answer:

I got -x/2+1/2. I'll get back to you in a lil bit.

Y = 1 - 2x

-1

y-1 = - 2x

÷ -2

y-1/-2 = x

f-1(x) = x - 1/-2

Let's make x = 7

7-1/-2 = - 3

Or

y = 1 - 2x

+2x

y + 2x = 1

-y

2x = 1-x

÷2

x. = 1-x/2

f-1(x) = 1 - x/2 is your answer

Let's make x=7

1-7/2 = - 3

Hope this helps!

Answer:

Part A)  Option c) 15.27 mm

Part B)   Option b) 12.05 mm

Step-by-step explanation:

The mean is also sometimes called the average

To find the mean, you add up every number in the data set, and you divide that sum by the total number of data points within the set.

A) What is the mean rainfall for the highland storms?

The sum of the data of Highlands storms

= 2*2 + 3*4 + 2*6 + 3*8 + 4*10 + 3*12 + 4*14 + 5*16 + 5*18 + 4*20 + 2*22 + 24 + 2*26 + 2*28 + 30 + 32 = 672

the total number of data = 44

Mean = 672/44 = 15.27 mm

So, the answer is option c) 15.27 mm

B) What is the mean rainfall for the lowland storms?

The sum of the data of Lowland storms

= 3*2 + 5*4 + 3*6 + 3*8 + 5*10 + 7*12 + 6*14 + 4*16 +2*18 + 20 + 2*22 + 24 + 2*28 = 530

the total number of data = 44

Mean = 530/44 = 12.05 mm

So, the answer is option b) 12.05 mm

Answer:

30 and 26

Step-by-step explanation:

Answer:

[tex]3x^3 + 2x - 1[/tex]

Step-by-step explanation:

[tex]x^3 - 2x + 3 + 2x^3 + 4x - 4[/tex]

Combine like terms:

[tex]3x^3 + 2x - 1[/tex]

Hope that helped

Answer:

6:1

Formula for this equation

Divide by 4

24 ÷ 4 = 6

4 ÷ 4 = 1

Answer:

original number:  27

reversed number:  72

Step-by-step explanation:

Let the tens place digit = a

Let the units place digit = b

⇒ Original two-digit number = 10a + b

⇒ Reversed two-digit number = 10b + a

If the reversed two-digit number is 9 less than 3 times the original number:

⇒ 10b + a = 3(10a + b) - 9

⇒ 10b + a = 30a + 3b - 9

⇒ 7b = 29a - 9

If the different of the two numbers is 45 (and the reversed number is larger than the original number):

⇒ (10b + a) - (10a + b) = 45

⇒ 10b + a - 10a - b = 45

⇒ 9b -9a= 45

⇒ 9(b - a)= 45

⇒ b - a= 5

⇒ b = 5 + a

Substitute  b = 5 + a  into  7b = 29a - 9  and solve for a:

⇒ 7(5 + a) = 29a - 9

⇒ 35 + 7a = 29a - 9

⇒ 44 = 22a

⇒ a = 2

Finally, substitute the found value of a into  b = 5 + a  and solve for b:

⇒ b = 5 + 2 = 7

Therefore,

Need mas

Find volume

Mass

As volume is same

Divide their densities to find ratio

Answer:

25%

Step-by-step explanation:

6/24 of the apples went bad

we can still simplify 6/24

1/4

1/4 is equal to 25%

hope this helps

Step-by-step explanation:

[tex] {y}^{2} + 11y - 6y + {y}^{2} [/tex]

Organize the like terms...

[tex] = {y}^{2} + {y}^{2} + 11y - 6y[/tex]

[tex] = 2 {y}^{2} + 5y[/tex]

Answer:

2y^2 + 5y

Step-by-step explanation:

y^2 + 11y - 6y + y^2=

= (y^2 + y^2) + (11y - 6y)

= 2y^2 + 5y

Answer:

26 in.

Step-by-step explanation:

» Concepts

The perimeter for a shape is the total distance around it measured in units. The formula to find the perimeter of a trapezoid is a + b + c + d, where a & b are the bases, and c & d are the lengths of the other sides.

» Solution

Adding up all the sides, we get:

26 inches

Tidal energy is powered by the moon's gravity

Answer:

Your answer is 4800

Step-by-step explanation:

I: PRT

400

  .6

____

2400

0000

_____

2400

       2

_____

4800

Have a wonderful day/night and good luck

stay safe, and stay healthy

Ty for brainliest!

Answer:

4800

Step-by-step explanation:

Answer:

[tex]d > 12[/tex]

Step-by-step explanation:

[tex]23+d > 35[/tex]
[tex]d > 12[/tex] (subtract 23 on both sides)

Answer:

41

Step-by-step explanation:

Supplementary Angles add up to 180.

180 - 139 = 41

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$16000\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semi-annually, thus twice} \end{array}\dotfill &2\\ t=years\dotfill &5 \end{cases} \\\\\\ A=16000\left(1+\frac{0.05}{2}\right)^{2\cdot 5}\implies A=16000(1.025)^{10}\implies A\approx 20481.35[/tex]

$16000 for five years at 5% APR compounded semiannually gives an interest of 4481 dollars.

Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.

We know the formula for compound interest compounded semiannually is,

A = P[1 + (r/2)/100]²ⁿ.

Where, A = amount, P = principle, r = rate and n = time in years.

Given,  $16,000 is deposited for five years at 5 % compounded semiannually.

A = 16000[1 + (5/2)/100]²ˣ⁵.

A = 16000[1 + 0.025]¹⁰.

A = 16000[1.025]¹⁰.

A = 16000×1.28.

A = 20481.

So, the interest earned is (20481 - 16000) = 4481 dollars.

learn more about compound interest here :

https://brainly.com/question/14295570

#SPJ2

The equation is a quotient statement, and the equation is 51/3 = k

The statement is given as:

51 divided by 3 is k

Represent the word "is" with "="

So, we have:

51 divided by 3 = k

Represent the word "divided" with "/"

So, we have:

51 / 3 = k

Hence, the equation is 51/3 = k

Read more about equations at:

https://brainly.com/question/2972832

#SPJ1

Answer:

3800

Step-by-step explanation:

Half way between 3700 and 3900

Answer:

3800

Step-by-step explanation:

it's plotted on the line between 3700 and 3900 and 3800 would be in the middle