If f x) = [x – 3], find f (5.6 ).

Answer:

Step-by-step explanation:

Circumference = 2pi r

440 = 2 *22\7 *r

70 = r

Area= pi r^2

Area= 22\7 *70*70

Area =15400

Answer:

five trucks per hour

Step-by-step explanation:

Answer:

Please check the explanation below.

Step-by-step explanation:

In other words, in order for relation to be a function, we must make sure there must be no repetition of 'x' coordinate values, as it would violate the fundamental definition of a function.

A) (2, 5), (5, 7), (7, 9)

Here, the x-coordinates are: 2, 5, and 7

At x = 2, y = 5

At x = 5, y = 7

At x = 7, y = 9

Thus, the coordinate pairs (2, 5), (5, 7), (7, 9) represent the function.

B) (2, 3), (1, 4), (2, 8),(0, 1)

Here, the x-coordinates are: 2, 1, 2 and 0

At x = 2, y = 3

At x = 1, y = 4

At x = 2, y = 8

At x = 0, y = 1

Please observe that the x-coordinate values i.e. x=2 are repeated.

Thus, the coordinate pairs (2, 3), (1, 4), (2, 8),(0, 1) does not represent the function.

C) (4, 8), (5, 8), (6, 8)

Here, the x-coordinates are: 4,5 and 6

At x = 4, y = 8

At x = 5, y = 8

At x = 6, y = 8

Thus, the coordinate pairs (4, 8), (5, 8), (6, 8) represent the function.

D) (-1, 4), (0, -1), (8, 3)

Here, the x-coordinates are: -1, 0, and 8

At x = -1, y = 4

At x = 0, y = -1

At x = 8, y = 3

Thus, the coordinate pairs (-1, 4), (0, -1), (8, 3) represent the function.

E) (1, 8), (8, 1), (1, 3)

Here, the x-coordinates are: 1, 8, and 1

At x = 1, y = 8

At x = 8, y = 1

At x = 1, y = 3

Please observe that the x-coordinate values i.e. x=1 are repeated.

Thus, the coordinate pairs (1, 8), (8, 1), (1, 3) does not represent the function.

F) (9, 0), (9, 1), (9, 2), (9, 3)

Here, the x-coordinates are: 9, 9,9 and 9

At x = 9, y = 0

At x = 9, y = 1

At x = 9, y = 2

At x = 9, y = 3

Please observe that the x-coordinate values i.e. x=9are repeated.

Thus, the coordinate pairs (9, 0), (9, 1), (9, 2), (9, 3) does not represent the function.

Answer:

41

Step-by-step explanation:

101+38=139

180-139 = 41

Answer:

Slope sides are;

5.07 m and 6.39 m

Step-by-step explanation:

I've attached a drawn diagram showing a triangle representing the roof slopes and I have attached it.

From the image attached, the missing angle is θ.

From sum of angles in a triangle,

θ = 180 - (44 + 34)

θ = 102°

Now, a & b represent the slopes of the roof.

Thus, using law of sines which is that;

a/sin A = b/sin B = c/sin C, we can solve as follows;

a/sin 34 = 9/sin 102

a = (9 × sin 34)/sin 102

a = (9 × 0.5512)/0.9781

a = 5.07 m

b/sin 44 = 9/sin 102

b = (9 × sin 44)/sin 102

b = (9 × 0.6947)/0.9781

b = 6.39 m

Answer:

y= 4/3x -1/3

Step-by-step explanation:

Find slope: y2-y1/x2-x1 = 5-(-3)/4-(-2) = 8/6 = 4/3

Use point slope to find the equation:

y - y1 = m ( x - x1 )

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

y = 4/3x + 8/3 + (-3)

y = 4/3x + 8/3 - 9/3

y= 4/3x -1/3

Answer:

yo are you talking about like absolute value?  then it's  | -15 | and | -25 |

Step-by-step explanation:

Answer:

[tex]18x^{3}[/tex] -  [tex]6x^{2}[/tex] - 8x

Step-by-step explanation:

-2x(10x - [tex]9x^{2}[/tex] - 7x + 4)

-2x(3x - [tex]9x^{2}[/tex] + 4) Combine liked terms

-2x(-[tex]9x^{2}[/tex] +3x +4) Rearrange terms

[tex]18x^{3}[/tex] - [tex]6x^{2}[/tex] - 8x Distribute

[tex]18x^{3}[/tex] - [tex]6x^{2}[/tex] - 8x

Answer: 5on x axis 2 on the y axis

Answer:

The answer would be (5,2)

:D Have a Great Day :D

answer is A

x^3 + 2x^2y + x^2 + y^2 + xy^2

Answer:

answer would be C.

Step-by-step explanation:

mUsing the distributive property.

Answer:

148 i thk i did 16x-12

Step-by-step explanation:

Answer:

The domain of the vector function is :  ( -6, -2) ∪ ( -2, 6)

Step-by-step explanation:

The given vector function  can be correctly expressed as:

[tex]r(t) = \dfrac{t-2}{t+2}i + sin \ tj + In(36-t^2) k[/tex]

The domain of the given function can be determined by finding the domain of each respective component.

To start with [tex]\dfrac{t-2}{t+2}[/tex]

Not defined, t = -2

Thus, the domain of the first component of the vector = [tex]( - \infty , -2) \cup ( 2, \infty )[/tex]

The 2nd component = sin t

No restriction on t

The 3rd component of the function is ㏑(36 - t²)

Let recall that natural is defined for +ve numbers,

i.e.

36 - t² > 0

(6 + t) (6 - t) > 0

Thus, it satisfies the inequality  -6 < t < 6

The third domain = (-6,6)

Overall;

The domain of the vector function is :  ( -6, -2) ∪ ( -2, 6)

Domain of a function is the set all possible inputs for that function.The domain of the given vector function is,

[tex](-6, -2) \cap (-2,6)[/tex]

Domain of a function is the set all possible inputs for that function.

Given information-

The vector function given in the problem is,

[tex]r(t)=\dfrac{t-1}{t+2} \hat i++sin(t)\hat j+ln(49-t^2)\hat k[/tex]

To find the domain of the above vector function, we need to find the domain of each function of vector quantity.

Lets find the domain of [tex]\hat i[/tex] first which is given by,

[tex]\dfrac{t-2}{t+2}[/tex]

This function is defined at all values except, t equals to -2 as the function is not defined at,

[tex]t=-2[/tex]

Hence the domain of component [tex]\hat i[/tex] is,

[tex](-\infty, -2) \cap (\infty,2)\\[/tex]

Lets find the domain of [tex]\hat j[/tex] first which is given by,

[tex]\sin(t)[/tex]

Two trigonometry function sine and cosine defined for all real number.

This function is defined at all real numbers. Hence the domain of component [tex]\hat j[/tex] is

Lets find the domain of [tex]\hat k[/tex] first which is given by,

[tex]\ln(36-t^2)[/tex]

Set the above argument greater than zero to find where the expression is defined.Thus,

[tex](36-t^2)>0\\(6+t)(6-t)>0[/tex]

Therefore,

The domain of it should be [tex](-6,6)[/tex]

Hence the domain of the given vector function is,

[tex](-6, -2) \cap (-2,6)[/tex]

Learn more about the domain here;

https://brainly.com/question/10197594

Answer:

whats the problem

Step-by-step explanation:

Answer:

yup

Step-by-step explanation:

Answer:

3/2, 0.75,-3/2, -24

Step-by-step explanation:

I think that's the answer

Answer:

Statistic

Step-by-step explanation:

We are given four options

Parameter

Statistic

Sample

Population

In the given question the total number of students represents the population i.e population and the population size would be= N= 8000

The number of students selected represent a sample  the sample size would ben= 500

A statistic is used for a given sample e.g in the given question the mean of the sample represents the statistic.

A parameter is used for a population e.g in the given question the mean of the population would be a parameter. A parameter is computed from the entire population

The correct option is statistic.

Answer:

P(-2,4)

Q(2,5)

R(-1,8)

Step-by-step explanation:

The rule for reflecting points across the x-axis is to keep the x-value the same but "negate" the y-value. So, the points above are your answers.

(A): 825

(B): 42,900

Answer: X = 57.5

Step-by-step explanation:

3x - 65 + x + 15 = 180

4x - 50 = 180

4x = 230

x = 57.5

Answer:

3x-65 degrees

Step-by-step explanation:

Since the angles are vertical angles, y should equal the same value of the corresponding angle.

Answer:

60/5=12  25/5=5   7 more miles a day

Step-by-step explanation:

plzz mark brainiest

Answer: If you were born in April you a amiable, and always ready to help others and a faithful lover.

Step-by-step explanation:

Answer:

Systematic Sampling

Step-by-step explanation:

Systematic sampling is one of the types of probability sampling method. It is an advanced form of simple random sampling. In this form, from the population of members, sample members are selected randomly. In this random selection, a starting point is fixed. The sample is created when the members are selected from the fixed intervals.  

In the given excerpt, systematic sampling method has been used. Here, the sample has been created by selecting every third listed phone member. The interval has been created between in the sample size.

Answer:

p

Step-by-step explanation:

Answer:

you will need 3 quarters and 5 nickel  

Step-by-step explanation:

3 quarters is 75     and 5 nickels is 25 =1.00

Answer:

4⋅(4d+5)

Step-by-step explanation:

Answer: A 95% confidence interval for the true proportion (p) will be (0.4762136, 0.5637864).

Step-by-step explanation:

Let p = True proportion of people rent their residence.

Given: n= 500

People rent their residence = 260

[tex]p=\dfrac{260}{500}=0.52[/tex]

z-value for 95% confidence level = 1.96

A 95% confidence interval for the true proportion will be :

[tex]p\pm z^*\sqrt{\dfrac{p(1-p)}{n}}[/tex]

[tex]0.52\pm (1.96)\sqrt{\dfrac{0.52(1-0.52)}{500}}\\\\=0.52\pm(1.96\sqrt{\dfrac{0.2496}{500}})\\\\=0.52\pm 1.96\sqrt{0.0004992}\\\\=0.52\pm (1.96)(0.02234)\\\\=0.52\pm0.0437864\\\\=(0.52-0.0437864,\ 0.52+0.0437864)\\\\=(0.4762136,\ 0.5637864)[/tex]

A 95% confidence interval for the true proportion (p) will be (0.4762136, 0.5637864).