Advanced conversions:
4 L=
mL
570 mL =
L
5 cm =
mm
135 mm =
cm
5 mg =
cg
1820 mg =
25 mL =
L
0.5 g =
cg
0.125 g =
mg
0.2385 mL =
L

Step-by-step explanation:

Since -5, -3 and 1 are the zeroes of f(x),

(x + 5), (x + 3) and (x - 1) are factors of f(x).

=> f(x) = a(x + 5)(x + 3)(x - 1),

where a is a real constant.

We are given that when x = 0, f(x) = -45.

=> a(0 + 5)(0 + 3)(0 - 1) = -45

=> -15a = -45, a = 3.

Hence, f(x) = 3(x + 5)(x + 3)(x - 1)

= 3x³ + 21x² + 21x - 45.

Answer:

The function f(x) is a cubic function and the zeros of f(x) are -5, -3 and 1. The y-intercept of f(x) is -45.

(x+5), (x+3) and (x-1) are the factors of f(x).

Form : f(x)=a(x+5)(x+3)(x-1)

When f(x)=-45 and x=0, we get a=3

Equation of the cubic polynomial in standard form is :---

[tex]f(x) = 3(x + 5)(x + 3)(x - 1)\\ =3 ( {x}^{2} + 8x + 15)(x - 1) \\=3({x}^{3} + 8 {x}^{2} + 15x - {x}^{2} - 8x - 15) \\ =3({x}^{3} + 7{x}^{2} + 7x - 15)\\=\boxed{3{x}^{3}+21{x}^{2}+21x-45}[/tex]

Answer: D

Step-by-step explanation:

number π is a mathematical constant, the ratio of a circle's circumference to its diameter, approximately equal to 3.14159.

Answer:

I would say answer D is the correct one.

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

Answer:

12.50/100 X 110 = 13.75

13.75-12.50 = 1.25

12.50/100 X 109 = 13.625

13.625 + 1.25 = 14.875

monetary unit round to 2dp

$14.88

The outliers of the given data seta are -

- 0.5 and 23.5

An outlier is an observation that lies an abnormal distance from other values in a random sample from a population.

Given is a dataset shown in the image.

Arrange the data in ascending order -

(6, 7, 8, 8, 9, 10, 10, 11, 12, 13, 13, 14, 15, 15, 15, 40)

(x₁, x₂, x₃, x₄, x₅, x₆, x₇, x₈, x₉, x₁₀, x₁₁, x₁₂, x₁₃, x₁₄, x₁₅, x₁₆)

First quartile -

Q{1} = (x₅ + x₄)/2 = (9 + 8)/2 = 8.5

Q{1} = 8.5

Third quartile -

Q{3} = (x₁₂ + x₁₃)/2 = (14 + 15)/2 = 14.5

Q{3} = 14.5

Interquartile range -

IQR = Q{3} - Q{1}

IQR = 14.5 - 8.5

IQR = 6

Outliers -

(numbers less than Q1 – 1.5 × IQR) = - 0.5

(numbers greater than Q3 + 1.5 × IQR) = 23.5

Therefore, the outliers of the given data seta are -

- 0.5 and 23.5

To solve more questions on outliers, visit the link below -

https://brainly.com/question/26958242

#SPJ1

Answer:

(k + 0.04)(k - 0.04)

Step-by-step explanation:

a² - b² = (a + b)(a - b)

k² - 0.0016 = k² - (0.04)²

                  = (k + 0.04)(k - 0.04)

Hint: 0.0016 = [tex]\frac{16}{1000}=\frac{4^{2}}{100^{2}}=(\frac{4}{100})^{2} = (0.04)^{2}[/tex]

Answer:

B

Step-by-step explanation:

Any rational number (that is, a fraction in lowest terms) can be written as either a terminating decimal or a repeating decimal . Just divide the numerator by the denominator

Answer:

B. Rational number

Step-by-step explanation:

Answer:

aₙ = a₁ - 6* (n-1)

Step-by-step explanation:

a₁ = 13 = 13 - 6* (1-1)

a₂ = 7 = 13 - 6 * 1 = 13- 6*(2-1)

a₃ = 1 = 7 - 1 = 13 - 6 * 2 = 13 - 6 * (3-1)

........

aₙ = a₁ - 6* (n-1)

check: a₅ = 13 - 6*4 = -11

Answer:

7

Step-by-step explanation:

7/9

Answer:

A

Step-by-step explanation:

it is A

Answer:

0,-1

Step-by-step explanation:

Answer:

50 min :)

Step-by-step explanation:

12 cookies in ten min

12*5=60

10*5=50

Answer:

0.4785

Step-by-step explanation:

Answer:

four million one hundred forty thousand

Step-by-step explanation:

just read it correctly and then write it down

Answer:

its 414 (03)

you take the first 3 numbers and put it and then you count how many zeros there are and you put 0 and how many there are withch is 4

answerrrrrrrrrrrrrrrrrrr is 5cm

Answer:

The angle  length of angle AB is 5 inches.

Step-by-step explanation:

Answer: honestly for the first one, i think the answer would be 2.

they both have 5 at the end so you know its divisible :)

Step-by-step explanation:

Answer:the awsner is 2

Step-by-step explanation:

,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

Answer:

Length = 367.5 m.

Breadth = 157.5 m.

Step-by-step explanation:

The ratio is 7:3 .

There are 7 + 3 = 10 'parts' in the ratio.

So we work out the multiplier which is 525 / 10 = 52.5

Length = 7 * multiplier

= 7 * 52.5

= 367.5

Breadth = 3 * multiplier

= 3 * 52.5

= 157.5.

Answer:

[tex] \sqrt{108} \sqrt{36 \times 3} \sqrt{36} \sqrt{3} \: \: 6 \sqrt{3} \: \: \: \sqrt{108} = 10.392304845413264[/tex]

Answer:

sec(- θ ) = secθ

Step-by-step explanation:

The relationship between sec and cos is

sec x = [tex]\frac{1}{cosx}[/tex]

Now cos(- x) = cosx

Thus

sec(- θ ) = secθ

Answer:

percent error=6%

Step-by-step explanation:

Step one:

given data

Patty counted 250

The actual amount of chocolate chips on the tray were 265

Required

The percent error

Step two:

The formula is

percent error= actual-expected/expected*100

percent error= 265-250/250*100

percent error=15/250*100

percent error=0.06*100

percent error=6%

Answer:

the smaller number is 65

the larger number is 85

Step-by-step explanation:

Hope this helps! :)

Answer: 37/40

Step-by-step explanation: 0.925 = 925/1000

= 925/1000

= 185/200

= 37/40

Hope it helped u,

pls mark as the brainliest

^_^

Jane is 19 9/20 years old. If Marian is 11/2 years bigger then Mark, you would have to add both ages up and then get the answer of 17 1/4. Then it said that Jane is 11/5 years older than Marian which means that you would have to add again to find the final answer. 11/5=2 1/5 and then add 17 1/4 which you get 19 9/20. So Jane is 19 9/20 years old.

Answer:

22/3 years old jane

Step-by-step explanation:

add 11+11 =22

2+5=7

7-3=4

so, she's 22/3 years old

Answer:

119 cm got it right on edge 2020

Step-by-step explanation:

Its right

Answer:

287.5 years

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year,

then, solving our equation

t = (1/0.04)((750/60) - 1) = 287.5

t = 287.5 years

according to the question

3x-1=0

3x=1

x=⅓

so

f(x)=18x³+x-1

f(⅓)=18.(⅓)³+⅓-1

f(⅓)=18.⅓.⅓.⅓+⅓-1

f(⅓)=6.⅑+⅓-1

f(⅓)=⅔+½-1

f(⅓)=0

Answer:

the answer for the solution set suppose to be 3/2 not 3/4

Step-by-step explanation:

the right equation is 4y=6