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PolarNik [594]
3 years ago
10

PLEASE HELP ASAP!! TYSM!! BRAINLIEST!! :)

Mathematics
1 answer:
Feliz [49]3 years ago
6 0

Answer:

1A) Degree: 3

1B)  4 terms

1C) 7x^3-5x^2-4x+10

2A) 3m-5n+1

2B) -2b^3-3b+3

Step-by-step explanation:

The given polynomial is -4x+7x^3-5x^2+10

Let us rewrite the polynomial in decreasing powers of x.

This gives us the expression;

7x^3-5x^2-4x+10-----> This is called the standard form.

So let us answer the question:

A) The degree is the exponent of the first term when the polynomial is written in standard form.

Degree: 3

B) The terms are separated by + or - signs.

Number of terms: 4

C) Standard form: 7x^3-5x^2-4x+10

2A) The given expression is (7m-2n)+(-3n-4m+1)

We expand using the distributive property to get:

7m-2n-3n-4m+1

We regroup the terms to get:

7m-4m-2n-3n+1

We simplify to obtain:

3m-5n+1

2B) The given expression is  (b^3-2b+4)-(3b^3+b-1)

b^3-2b+4-3b^3-b+1

Regroup the terms to get:

b^3-3b^3-2b-b+4-1

We simplify to get:

-2b^3-3b+3

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F(x) = 3x² + 9x – 16<br> Find f(-8)
Nezavi [6.7K]

Answer: 104

Step-by-step explanation:

f(-8) represents f(x) evaluated at x=-8.

f(-8)=3(-8)^2 +9(-8)-16\\\\=192-72-16\\\\=120-16\\\\=104

7 0
1 year ago
HELP NEEDED ASAP
nikdorinn [45]

surface area of cylinder = 2 π r h + 2π r²

plug in values of pi, radius and area

2,461.76 = 2× 3.14 × 14 × h + 2× 3.14 × 14 × 14

2,461.76 = 87.92 h + 1,230.88

2,461.76 – 1,230.88 = 87.92h

1,230.88 = 87.92h

1,230.88 ÷ 87.92 = h

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3 years ago
In a hypothesis test, standard error measures ____.
Lina20 [59]

Answer:

The correct answer is:

the amount of difference expected just by chance (b)

Step-by-step explanation:

Standard error in hypothesis testing is a measure of how accurately a sample distribution represents a distribution by using standard deviation. For example in a population, the sample mean deviates from the actual mean, the mean deviation is the standard error of the mean, showing the amount of difference between the sample mean and the actual mean, occurring just by chance. Mathematically standard error is represented as:

standard error = (mean deviation) ÷ √(sample size).

standard error is inversely proportional to sample size. The larger the sample size, the smaller the standard error, and vice versa.

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A student uses a solution that contains 16 grams of water to conduct an evaporation experiment. ​​At the end of one hour, the am
yanalaym [24]

Answer:

3.5% decrease means 96.5% remaining

0.965(16)

4.25% decrease means 95.75% remaining

0.9575(0.965(16))

= 14.7838 grams

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Suppose that x and y are both differentiable functions of t and are related by the given equation. Use implicit differentiation
stepan [7]

Answer:

Let z = f(x, y) where f(x, y) =0 then the implicit function is

\frac{dy}{dx} =\frac{-δ f/ δ x }{δ f/δ y }

Example:- \frac{dy}{dx}  = \frac{-(y+2x)}{(x+2y)}

Step-by-step explanation:

<u>Partial differentiation</u>:-

  • Let Z = f(x ,y) be a function of two variables x and y. Then

\lim_{x \to 0} \frac{f(x+dx,y)-f(x,y)}{dx}    Exists , is said to be partial derivative or Partial differentiational co-efficient of Z or f(x, y)with respective to x.

It is denoted by δ z / δ x or δ f / δ x

  • Let Z = f(x ,y) be a function of two variables x and y. Then

\lim_{x \to 0} \frac{f(x,y+dy)-f(x,y)}{dy}    Exists , is said to be partial derivative or Partial differentiational co-efficient of Z or f(x, y)with respective to y

It is denoted by δ z / δ y or δ f / δ y

<u>Implicit function</u>:-

Let z = f(x, y) where f(x, y) =0 then the implicit function is

\frac{dy}{dx} =\frac{-δ f/ δ x }{δ f/δ y }

The total differential co-efficient

d z = δ z/δ x +  \frac{dy}{dx} δ z/δ y

<u>Implicit differentiation process</u>

  • differentiate both sides of the equation with respective to 'x'
  • move all d y/dx terms to the left side, and all other terms to the right side
  • factor out d y / dx from the left side
  • Solve for d y/dx , by dividing

Example :  x^2 + x y +y^2 =1

solution:-

differentiate both sides of the equation with respective to 'x'

2x + x \frac{dy}{dx} + y (1) + 2y\frac{dy}{dx} = 0

move all d y/dx terms to the left side, and all other terms to the right side

x \frac{dy}{dx}  + 2y\frac{dy}{dx} =  - (y+2x)

Taking common d y/dx

\frac{dy}{dx} (x+2y) = -(y+2x)

\frac{dy}{dx}  = \frac{-(y+2x)}{(x+2y)}

7 0
3 years ago
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