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Find the volume

Given:

The given quadratic polynomial is :

[tex]x^2-x-12[/tex]

To find:

The quadratic polynomial whose zeroes are negatives of the zeroes of the given polynomial.

Solution:

We have,

[tex]x^2-x-12[/tex]

Equate the polynomial with 0 to find the zeroes.

[tex]x^2-x-12=0[/tex]

Splitting the middle term, we get

[tex]x^2-4x+3x-12=0[/tex]

[tex]x(x-4)+3(x-4)=0[/tex]

[tex](x+3)(x-4)=0[/tex]

[tex]x=-3,4[/tex]

The zeroes of the given polynomial are -3 and 4.

The zeroes of a quadratic polynomial are negatives of the zeroes of the given polynomial. So, the zeroes of the required polynomial are 3 and -4.

A quadratic polynomial is defined as:

[tex]x^2-(\text{Sum of zeroes})x+\text{Product of zeroes}[/tex]

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

[tex]x^2-(-1)x+(-12)[/tex]

[tex]x^2+x-12[/tex]

Therefore, the required polynomial is [tex]x^2+x-12[/tex].

We need to assume the sample was randomly selected because we are making inferences about means. Means refers to the average of a sample of data points, which can be used to estimate the value of an unknown population parameter.

If the sample was not randomly selected, then our estimates of the population parameter could be biased or inaccurate. This is because the sample may not be representative of the population as a whole, which could lead to incorrect estimates of the population parameter.

In order to make valid inferences about a population, it is essential to use random sampling. This is because random sampling ensures that the sample is representative of the population as a whole, meaning that the estimates of the population parameter that you obtain from the sample will be unbiased and accurate. If the sample is not randomly selected, then there is a risk that the sample is not representative of the population, which could lead to incorrect estimates of the population parameter.

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Answer:

Step-by-step explanation:

7+5+2=14

Answer:

The most likely suspect for the hard drive being very active even though the computer is not being used and is not connected to the Internet is malware. Malware is a type of software that is designed to cause harm to a computer system, and it can often run in the background without the user's knowledge.

A coordinate plane is a two-dimensional surface formed by two number lines

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The simplified value of x is 44 / 15 or 7 / 5 and value of y is -2

Simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

Given that, simply the following

a) 2(y-1)/3-3(y-2)/4=1

b) 3x=44/5=2x+6

1) 2(y-1) / 3 - 3(y-2) / 4 = 1

Multiplying by 12 to both sides,

8(y-1) - 9(y-2) = 12

8y-8 - 9y+18 = 12

-y + 10 = 12

y = -2

2) 3x = 44 / 5 = 2x+6

3x = 44 / 5

Multiplying by 5 to both sides,

15x = 44

x = 44 / 15

or,

44 / 5 = 2x + 6

Multiplying by 5 to both sides,

44 = 10x + 30

14 = 10x

x = 7 / 5

Hence, the simplified value of x is 44 / 15 or 7 / 5 and value of y is -2

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Answer:

[tex]r=\sqrt{\frac{3V}{\pi h} }[/tex]

Step-by-step explanation:

[tex]V=\frac{1}{3} \pi r^2h[/tex]

Lets solve for [tex]r[/tex].

Multiply both sides of the equation by 3.

[tex]3V=\pi r^2h[/tex]

Divide both sides of the equation by [tex]\pi h[/tex].

[tex]\frac{3V}{\pi h} =r^2[/tex]

Take the square root of both sides.

[tex]\sqrt{\frac{3V}{\pi h} } =r[/tex]

Answer:

d.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the value function v(t) = 20000·0.86^t, you want the value after 4 years and 10 years.

Put the value of t in the formula where t is, and do the arithmetic.

The attached calculator output tells us ...

  value after 4 years: $10,940

  value after 10 years: $4,426

__

Additional comment

When you are asked to do the same evaluation with different numbers, it is convenient to process them as a list, or using a spreadsheet.

Answer:

$2,373.84

Step-by-step explanation:

The formula for circumference is C = (pi)(diameter)

C = (3.14)(63)

C = 197.82 m

then multiply that by the cost of fence/m

197.82 x 12 = $2,373.84

Answer:

35/4=8.75

Step-by-step explanation:

You and your 3 friends add up to 4 people so you do 35 divided by 4 and get 8.75

Answer:

Step-by-step explanation:

35/3 = p

p = 11.67 per person

Answer: I think it’s A

Step-by-step explanation:

But go for it

The volume of the cone is (2/3)π cubic feet. And the radius of the spherical barrier would be 0.8 ft. and the height would be 2r = 2(0.8) = 1.6 ft. The correct option is A.

Space occupied by an object in three-dimensional space is called as volume of an object. In simple words, space is taken by object.

Given:

Tobias is constructing barriers to prevent cars from driving on a bike path. He can make conical pylons using the dimensions shown.

He used the same amount of concrete to construct a spherical barrier.

According to the information  given in the exercise, the height and the radius of the pylons are the following:

Height h = 2 ft

Radius r = 1 ft

So, the volume of the cone,

= (1/3)πr²h

= (1/3)π(1)²(2)

= (2/3)π cubic feet.

And the volume of the sphere is twice the volume of the cone.

So, the volume of the sphere,

4πr³/3 = 2π/3

2r³ = 1

r³ = 1/2 = 0.5

r = ∛0.5 = 0.8 ft.

Therefore, the radius of the spherical barrier would be 0.8 ft. and the height would be 2r = 2(0.8) = 1.6 ft.

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Answer:

B

Step-by-step explanation:

If x equals 1/4 then it must be B because:

All the sections are divided into fourths so 1/4 plus 3/4 is 1.

On solving the provided question, we can say that by having the equation 15 attendees were at the party

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

let x = number of attendees

[tex]2x[/tex] + 20 = number of slices 5(x-5) = [tex]2x[/tex] - 20

[tex]5x[/tex] - 25 = [tex]2x[/tex] + 20

[tex]3x[/tex] = 45

[tex]x[/tex] = 15

[tex]2x[/tex] + 20 = 50 slices

15 attendees

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The percentage of ounce Dariu has left of his port drink is 55%.

What is percentage?

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.

It is given that Dariu ha a 40-ounce port drink.

He drank 18-ounce port drink.

First calculate what percentage of port drink Dariu drank.

The equation is -

= (18/40) × 100

= 45%

So, Dariu drank 45% of the port Drink.

Now, subtract the percentage Dariu drank from the 100% (40 Ounce) drink Dariu had -

100 - 45 = 55

Therefore, Dariu has 55% drink left.

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Answer:

PT is approximately 28.2 m

The height of the flagpole is approximately 25.56 m

QT is approximately 13.15 m

Step-by-step explanation:

Part A

From the attached drawing of the building and the flagpole, we have;

∠TQP = 25° + 90° = 115°

∠TPQ = 90° - 65° = 25°

∴ ∠QTP = 180° - (115° + 25°) = 40°

By sine rule, we have;

[tex]\dfrac{\overline {QT}}{sin(\angle TPQ)} = \dfrac{\overline {PT}}{sin(\angle TQP)} = \dfrac{\overline {QP}}{sin(\angle QTP)}[/tex]

[tex]\therefore \overline {PT} = sin(\angle TQP) \times \dfrac{\overline {QP}}{sin(\angle QTP)}[/tex]

∴ PT = sin(115°) × 20 m/(sin(40°)) = 28.1992924 ≈ 28.2

PT ≈ 28.2 m

Part B

The height of the flagpole, Ta = PT × sin(∠TPa)

∴ Ta ≈ 28.2 × sin(65°) ≈ 25.56

The height of the flagpole, Ta ≈ 25.56 m

Part C

[tex]\overline {QT} = sin(\angle TPQ) \times \dfrac{\overline {QP}}{sin(\angle QTP)}[/tex]

The distance QT= sin(25°) × 20 m/(sin(40°)) ≈ 13.15

QT ≈ 13.15 m

A slope field for the given differential equation dy/dx = xy/2 at the 9 points indicated is shown below.

We know that a slope field represents the slope of a differential equation at certain vertical and horizontal intervals on the coordinate plane.

First we construct a table which contains the values of slope.

Consider given differential equation dy/dx = xy/2

where -1 ≤ x ≤ 1,

1 ≤ y ≤ 3

Let the slope be m

so, dy/dx = m

For x = -1, y = 1

m = (-1 × 1)/2

   = -1/2

For x = -1, y = 2

m = (-1 × 2)/2

   = -1

For x = -1, y = 3

m = (-1 × 3)/2

   = -3/2

For x = 0, y = 1

m = (0 × 1)/2

   = 0

For x = 0, y =2

m = (0 × 2)/2

   = 0

For x = 0, y = 3

m = (0 × 1)/2

   = 0

For x = 1, y = 1

m = (1 × 1)/2

   = 1/2

For x = 1, y = 2

m = (1 × 2)/2

   = 1

For x = 1, y = 3

m = (1 × 3)/2

   = 3/2

So, the table is:

x/y     1  2    3

-1     -1/2   -1      -3/2

0     0   0   0

1       1/2     1      3/2

Therefore, the slope field is as shown below.

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Answer:

5,10,25,30,35,30,35,40...

Step-by-step explanation:

Multiples of 5

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

5,10,15,20,25,30,35,40,45.....

Step-by-step explanation:

just multiply 5 by consecutive natural numbers

plz mark as brainliest

Answer:

x = 3/2 π    (270°)

Step-by-step explanation

2sin²x =sin x+3

2sin²x - sin x - 3 = 0

(sin x + 1) (2sin x - 3) = 0

-1 ≤ sin x ≤ 1

sin x = -1

x = 3/2 π    (270°)   or -π/2 + 2kπ (k = ..., -1, 0 , 1, ...)

The function domain is X≥5  Or in interval notation [5, ∞)

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Answer:

The angle measure of angle y is 36°. [ Because vertically opposite angles are equal]

Answer:

26x+32

Step-by-step explanation:

9514 1404 393

Answer:

  51.63 m²

Step-by-step explanation:

The relevant area formulas are ...

  A = πr² . . . . . area of a full circle of radius r

  A = LW . . . .  area of a rectangle of length L and width W

  A = 1/2bh . . . area of a triangle with base b and height h

__

The figure area is the sum of the areas of 1/2 a circle of radius 3 m, a rectangle with base 6 m and height 5 m, and a triangle with base 3 m and height 5 m. Using the above formulas, we find the area to be ...

  A = (1/2)(3.14)(3 m)² +(6 m)(5 m) + 1/2(3 m)(5 m)

  A = (14.13 +30 +7.5) m² = 51.63 m²

The area of the figure is about 51.63 m².

Answer: [tex]12.39\ kg[/tex]

Step-by-step explanation:

Given

Luis used 590 gm of flour each day

If he continues to use it for 3 weeks

A week has 7 days; so 3 weeks have 21 days

The flour used in 21 days

[tex]\Rightarrow 21\times 590\\\Rightarrow 12,390\ g\ \text{or}\ 12.39\ kg[/tex]

Thus, [tex]12.39\ kg[/tex] of flour is used in 3 weeks

The domain of the function y = 3[x] is (-∞, ∞), which means that the function is defined for all values of x.

A relation is a function if it has only One y-value for each x-value.

The function y = 3[x] is a piecewise function where [x] denotes the greatest integer function or the floor function, which returns the largest integer less than or equal to x.

The domain of the function is the set of all real numbers for which the function is defined.

As the greatest integer function is defined for all real numbers, the domain of the function y = 3[x] is also all real numbers.

Therefore, the domain of the function y = 3[x] is (-∞, ∞), which means that the function is defined for all values of x.

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