Find the difference in area between the circle and the triangle. possible answers are
- A=27pi
- A=4pi-8
- A=9pi-9/2radical 3
- A=16/3pi
- A=16​

Answer:

the attractive force of magnetism

The function f(x) will be : f(x) = 4x and f(2) = 8.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine the order of operations and other aspects of logical syntax.

Given that f(x) is a direct variation function.

Direct variation of {y} with {x} means that as {x} increases, {y} increases uniformly with it. Mathematically -

{K} = y/x = constant

Scale factor {K} is a dimensionless value that indicates the constant ratio value indicating direct variation.

It is given that -

f(3) = 12

We can write the slope of f(x) as -

m = (12 - 0)/(3 - 0)

m = 12/3

m = 4

So, f(x) will be -

f(x) = 4x

f(2) will be -

f(2) = 8

Therefore, the function f(x) will be : f(x) = 4x and f(2) = 8.

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Answer:

y=-1.5x-4

Step-by-step explanation:

Slope intercept form is y=mx+b

Bring x over to the other side

2y=-8-3x

divide by 2

y=-4-1.5x

y=-1.5x-4 should be your equation in slope-intercept form

Answer:

Step-by-step explanation:

Slope intercept form : y = mx+ b

2y + 3x  = -8

      2y = -3x  - 8

Divide the entire equation by 2

\(\dfrac{2y}{2}= \dfrac{-3}{2}x- \dfrac{8}{2}\\\\y= \dfrac{-3}{2}x - 4\)

False, If A is row equivalent to the identity matrix, then A is invertible.

Given :

if a is a square matrix that is row equivalent to the identity matrix then a is diago - nalizable.

Identity matrix :

An identity matrix is a square matrix having 1s on the main diagonal, and 0s everywhere else .

Invertible matrix :

An invertible matrix is a matrix for which matrix inversion operation exists, given that it satisfies the requisite conditions.

so given statement is false if A is row equivalent to the identity matrix, then A is invertible.

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Answer:

------------------------

Find the slope of AB:

Use point-slope form and point A(2, 4) to determine the line:

Multiply both sides by 9 to clear fraction:

Open parenthesis and convert the equation into ax + by + c = 0:

The requried only prime polynomial among the given options are 2x²+ 7x + 1, 3x² + 8, and  x²+36.

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the monomial, binomial, and trinomial, etc. ax+b is a polynomial.

Here,
The first polynomial 2x²+ 7x + 1 cannot be factored therefore it is a prime polynomial.

The second polynomial 5x²-10x + 5 can be factored as 5(x-1)² and is therefore not a prime polynomial.

The third polynomial 3x² + 8 cannot be factored over the integers and is therefore a prime polynomial.

The fourth polynomial 4x²-25 can be factored as (2x-5)(2x+5) and is therefore not a prime polynomial.

The fifth polynomial x²+36 cannot be factored therefore it is a prime polynomial.

Therefore, the only prime polynomial among the given options is 3x² + 8.

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Answer:

2 people watch tv 3 hours a day, 3 people watch tv 0 hours a day, 2 people watch tv 1 hour a day, 2 people watch tv 2 hours a day, and 1 person watches tv 4 hours a day

Step-by-step explanation:

hope it helped :)

By adding the weight of the triangle, the weight of the circle heavier than that of the square.

The linear equation that results from examining the weights will contain the following parameters.

Let t stand for the triangle.

Let c stand for the circle.

Let's use the shape square.

left side of the equation = 6s + 3t

right side of the equation = 3s + 3c

equating both sides

6s + 3t = 3s + 3c

6s - 3s + 3t = 3s + 3c

3s + 3t = 3c

3(s + t) = 3c

dividing all through by 3

s + t = c

10 + t = c

Because of the resulting equation, we can conclude that the the circle is weightier than the square by the weight of the triangle

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The simplified expression involving complex numbers is given as follows:

5 + 5i.

Complex numbers are number that have a real and an imaginary part, and are defined as follows:

z = a + bi.

In which:

The basic relation of complex numbers is given as follows:

i² = -1.

The fraction for this problem is given as follows:

(2 + i)(4 - 2i)/(1 + i).

The numerator is simplified as follows:

(2 + i)(4 - 2i) = 8 - 4i + 4i - 2i² = 8 + 2 = 10.

Hence the fraction is of:

10/(1 + i).

To remove the complex number from the denominator, the entire fraction is multiplied by the conjugate of the denominator, hence:

10/(1 + i) x (1 - i)/(1 - i) = 10(1 + i)/(1 - i²) = 10(i + 1)/2 = 5 + 5i.

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Answer:

Ok I'm assuming that know what??

Step-by-step explanation:

Answer:

5+n(-4)

Step-by-step explanation:

this is the equation if that helps??

Answer:

5*N-4 five times a number n minus four

The value of cos ø, for the given coordinates (8, 6), is 4/5 in the lowest terms.

To find the value of cosine (cos) ø, we need the coordinates (8, 6) of a point on the unit circle.

The unit circle is a circle with a radius of 1, and the coordinates (8, 6) do not lie on the unit circle. However, we can use these coordinates to calculate the cosine value indirectly.

First, we need to find the hypotenuse (r) of the right triangle formed by the coordinates (8, 6). We can use the Pythagorean theorem:

r = √(8² + 6²) = √(64 + 36) = √100 = 10

Now, we can find the cosine value by dividing the adjacent side length (x-coordinate) by the hypotenuse:

cos ø = 8 / 10 = 4/5.

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Step-by-step explanation:

Option c shows line segment because it has no arrow marks

The solution of x in the inequality is x > -1

The inequality is given as:

−2x + 5 < 7

Subtract 5 from both sides of the inequality

−2x + 5 - 5< 7 - 5

Evaluate the difference

−2x < 2

Divide both sides of the inequality by -2

x > -1

Hence, the solution of x in the inequality is x > -1

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Answer: Your answer is A

Step-by-step explanation:

Hey there!

\(\huge\boxed{\rm{3\%\ of \ 100}}\)

\(\huge\boxed{\rm{= 3\% \times100}}\)

\(\huge\boxed{\rm{= \dfrac{3}{100} \times 100}}\)

\(\huge\boxed{\rm{= 0.03 \times 100}}\)

\(\huge\boxed{\rm{= \dfrac{3\times100}{100\times1}}}}\)

\(\huge\boxed{\rm= \dfrac{300}{100}}}\)

\(\huge\boxed{\rm{\rightarrow\dfrac{300\div100}{100\div100}}}\)

\(\huge\boxed{\rightarrow{\rm{\dfrac{3}{1}}}}\\\\\\\huge\boxed{\rightarrow{3\div1}}\)

\(\huge\boxed{\rm{= 3}}\)

\(\huge\boxed{\mathsf{Answer: 3 }}\huge\checkmark\)

\(\huge\textsf{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

\(\huge\text{Guide: The word \underline{of} means multiply in math}\)

Answer:

These tables represent a quadratic function with a vertex at (0,3). What is the

average rate of change for the interval from x = 8 to x = 9?

Interval

х

0

1

2

3

4

5

ilm

у

3

2

-1

-6

-13

-22

--33

0 to 1

1 to 2

2 to 3

3 to 4

4 to 5

5 to 6

Average rate

of change

-1

3-2

-3

1-2

-5

1-2

-7

1-2

-9

1-2

-11

6

O A. -78

O B. -61

C.-2

O D. -17

The average rate of change on the given interval is -17, so the correct option is D.

For a function f(x), the average rate of change on an interval (a, b) is given by:

\(r = \frac{f(b) - f(a)}{b - a}\)

Here we have the table:

x      y

0     3

1      2

2     -1

3     -6

4     -13

5     -22

Using that data we can find the equation of the parabola.

Because of the first point, we know that:

y = a*x^2 + b*x + 3

Using the second and third pairs, we can write:

2 = a + b + 3

-1 = a*2^2 + b*2 + 3

Then we can solve this sytem of equations, if we simplify the equations we get:

a + b = -1

4a + 2b = -4

To solve this, we need to isolate one of the variables, I will isolate a on the first equation:

a = -1 - b

Then we can replace this with the other equation:

4*(-1 - b) + 2b = -4

Now we can solve this for b.

-4 - 4b + 2b = -4

-2b = 0

b = 0

Then:

a = -1 - b = -1 - 0 = -1

Then the quadratic equation is:

y = f(x) = -x^2 + 3

Now, we need to get:

f(8) = -(8)^2 + 3 = -61

f(9) = -(9)^2 + 3 = -78

Then the average rate of change is:

\(r = \frac{-78 - (-61)}{9 - 8} = -17\)

So the correct option is D.

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The initial temperature of the soda is 22 degrees Celsius, and its temperature after 20 minutes is approximately 10 degrees Celsius.

To find the initial temperature of the soda, we need to evaluate the temperature function T(x) at x = 0.

T(x) = -5 + 27e^(-0.03x)

T(0) = -5 + 27e^(-0.03(0))

T(0) = -5 + 27e^0

Since any number raised to the power of 0 is 1, we have:

T(0) = -5 + 27(1)

T(0) = -5 + 27

T(0) = 22

Therefore, the initial temperature of the soda is 22 degrees Celsius.

To find the temperature of the soda after 20 minutes, we evaluate the temperature function at x = 20.

T(x) = -5 + 27e^(-0.03x)

T(20) = -5 + 27e^(-0.03(20))

T(20) = -5 + 27e^(-0.6)

Using a calculator, we can compute e^(-0.6) ≈ 0.5488.

T(20) = -5 + 27(0.5488)

T(20) = -5 + 14.8152

T(20) ≈ 9.8152

Therefore, the temperature of the soda after 20 minutes is approximately 10 degrees Celsius (rounded to the nearest degree).

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EXPLANATION:

We are given the following;

Sima needs to cook a 7kg turkey.

The instruction says to cook the turkey for 20 minutes for each kg. This means for a 7kg turkey, she should cook for;

The cooking instruction further says to add an extra 125 minutes.

This means the turkey would cook for a total of;

We can convert this to hours as follows;

Therefore, if the turkey starts to cook by 7:00 AM, then 4 hours and 25 minutes later would be;

ANSWER:

If the turkey needs to finish cooking at 11:30 am, then Sima is right by starting at 7:00 am.

The turkey would be ready by 11:25 am which is right on time.

The ordered pair that represents the point plotted and labeled A include the following: (−1, 2).

In Mathematics and Geometry, the translation of a graph to the left simply means a digit would be subtracted from the numerical value on the x-coordinate of the pre-image:

g(x) = f(x - N)

Conversely, the translation of a graph upward means a digit would be added to the numerical value on the y-coordinate (y-axis) of the pre-image.

g(x) = f(x) + N

Note: "Point A is one unit left and two units up from the origin. "

Since point A is one unit left and two units up from the origin (0, 0), we can logically deduce the following:

(x, y)                   →           (x - 1, y + 2)

Origin (0, 0)        →           (0 - 1, 0 + 2) = point A (-1, 2).

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Answer:

A: -2 + 3i

B: -1 + -1i

C: 3 + -4i

D: 4 + 1i

Step-by-step explanation:

These are the answers, Basically just normal graphing. run/rise.

I hope this helps! :)))))

Answer:

5.5 pints

Step-by-step explanation:

This answer is determined very easily. Basically, since we already know that we need 11 cups and that 1 cup is 0.5 pints, all that must be done is that the 11 cups must be multiplied by the 0.5 pints. This allows us to get the number of pints 11 cups is equal to, 5.5 pints.

The situation that is defined by the linear equation P = 40 + 22t is "The initial amount is 40 and the rate of change is 22".

Given:

P = 40 + 22t

where,

So,

if t = 3

P = 40 + 22t

= 40 + 22(3)

= 40 + 66

P = 106

Therefore, the initial amount is 40 and the rate of change is 22 describes the linear equation P = 40 + 22t

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Step-by-step explanation:

Correct, the dilation is an enlargement .

the base '4'  becomes  '6'     a factor of 1.5       ( because 1.5 * 4 = 6)

The equation of the linear relationship in slope-intercept form is y = 2x - 8. Option A is the correct answer.

To determine the equation of the linear relationship in slope-intercept form based on the table, we need to find the slope and y-intercept.

By observing the table, we can calculate the slope by selecting any two points. Let's choose the points (0, -8) and (4, 0).

Slope (m) = (change in y) / (change in x)

= (0 - (-8)) / (4 - 0)

= 8 / 4

= 2

Now that we have the slope, we can find the y-intercept by substituting the values of one point and the slope into the equation y = mx + b and solving for b.

Using the point (0, -8):

-8 = 2(0) + b

b = -8

Therefore, the equation of the linear relationship in slope-intercept form is: y = 2x - 8. Option A is the correct answer.

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Answer:

\(y=-\frac{4}{5}x-\frac{21}{5}\)

Step-by-step explanation:

The fastest way is to use point-slope form with \(m=-\frac{4}{5}\) and \((x_1,y_1)=(-4,-1)\):

\(y-y_1=m(x-x_1)\\y-(-1)=-\frac{4}{5}(x-(-4))\\y+1=-\frac{4}{5}(x+4)\\y+1=-\frac{4}{5}x-\frac{16}{5}\\y=-\frac{4}{5}x-\frac{21}{5}\)

To graph the line passing through (-4,-1) with slope m = -4/5, we can use the slope-intercept form of the equation of a line, which is:

y = mx + b

where m is the slope and b is the y-intercept.

Substituting m = -4/5, x = -4, and y = -1, we can solve for b:

-1 = (-4/5)(-4) + b

-1 = 3.2 + b

b = -4.2

Therefore, the equation of the line is:

y = (-4/5)x - 4.2

To graph the line, we can plot the given point (-4,-1) and then use the slope to find additional points. Since the slope is negative, the line will slope downwards from left to right. We can find the y-intercept by setting x = 0 in the equation:

y = (-4/5)x - 4.2

y = (-4/5)(0) - 4.2

y = -4.2

So the y-intercept is (0,-4.2).

Using this point and the given point (-4,-1), we can draw a straight line passing through both points.

Here is a rough sketch of the graph:

     |

     |

     |     *

     |    /

     |   /

     |  /

-----*--------

     |

     |

     |

     |

     |

The point (-4,-1) is marked with an asterisk (*), and the y-intercept (0,-4.2) is marked with a dash. The line passing through these two points is the graph of the equation y = (-4/5)x - 4.2.

The solution to the given algebraic expression 3(2-4x) = 5-8x is x = 1/4

3(2-4x) = 5-8x

open parenthesis

6 - 12x = 5 - 8x

combine like terms

6 - 5 = -8x + 12x

1 = 4x

divide both sides by 4

x = 1/4

Ultimately, x = 1/4 is the answer to the algebraic expression.

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