a) Find The rate of change of f.

b) Express f in the form f(x) = ax + b

Answer:66 hours of video games in three weeks!

Step-by-step explanation:First you would multiply 6 by 2 because the weekend refers to Saturday and Sunday which are two days,when you multiply 6 by 2 you get 12.Next you would multiply 2 by 5 because the problem says  2 hours each day of the week,when you multiply 2 by 5 you get 10.Then you add 10 and 12 which gets you to 22.Last but not least you multiply 22 by 3 because the question says  how many hours does mr.danie spend playing video games over 3 weeks,which bring you to 66!

I hope I helped!

Um we need a question to answer ur question

Answer:

-50 because your taking out 50 dollars

Answer:

Analysis for these data will be based on a __survey__ design.

Step-by-step explanation:

A survey design is a process through which surveys are conducted to acquire enough insight about a given situation or matter of interest.  In this case, the National Park Service's interest is finding out the amount of money that visitors in the two different national parks spend.  Visitors are sampled from each park to get the required information.  The mean spends are calculated and then compared.

Answer:

Step-by-step explanation:

Given the rate at which an eucalyptus tree will grow modelled by the equation 0.5+6/(t+4)³ feet per year, where t is the time (in years).

The amount of growth can be gotten by integrating the given rate equation as shown;

\(\int\limits {0.5 + \frac{6}{(t+4)^{3} } } \, dt \\= \int\limits {0.5} \, dt + \int\limits\frac{6}{(t+4)^{3} } } \, dx } \, \\= 0.5t +\int\limits {6u^{-3} } \, du \ where \ u = t+4 \ and\ du = dt\\= 0.5t + 6*\frac{u^{-2} }{-2} + C\\= 0.5t-3u^{-2} +C\\= 0.5t-3(t+4)^{-2} + C\)

a)  The number of feet that the tree will grow in the second year can be gotten by taking the limit of the integral from  t =1 to t = 2

\(\int\limits^2_1 {0.5 + \frac{6}{(t+4)^{3} } } \, dt = [0.5t-3(t+4)^{-2}]^2_1\\= [0.5(2)-3(2+4)^{-2}] - [0.5(1)-3(1+4)^{-2}]\\= [1-3(6)^{-2}] - [0.5-3(5)^{-2}]\\ = [1-\frac{1}{12}] - [0.5-\frac{3}{25} ]\\= \frac{11}{12}-\frac{1}{2}+\frac{3}{25}\\ = 0.9167 - 0.5 + 0.12\\= 0.5367feet\)

b)  The number of feet that the tree will grow in the third year can be gotten by taking the limit of the integral from  t =2 to t = 3

\(\int\limits^3_2 {0.5 + \frac{6}{(t+4)^{3} } } \, dt = [0.5t-3(t+4)^{-2}]^3_2\\= [0.5(3)-3(3+4)^{-2}] - [0.5(2)-3(2+4)^{-2}]\\= [1.5-3(7)^{-2}] - [1-3(6)^{-2}]\\ = [1.5-\frac{3}{49}] - [1-\frac{1}{12} ]\\ = 1.439 - 0.9167\\= 0.5223feet\)

c) The total number of feet grown during the second year can be gotten by substituting the value of limit from t = 0 to t = 2 into the equation as shown

\(\int\limits^2_0 {0.5 + \frac{6}{(t+4)^{3} } } \, dt = [0.5t-3(t+4)^{-2}]^2_0\\= [0.5(2)-3(2+4)^{-2}] - [0.5(0)-3(0+4)^{-2}]\\= [1-3(6)^{-2}] - [0-3(4)^{-2}]\\ = [1-\frac{1}{12}] - [-\frac{3}{16} ]\\= \frac{11}{12}+\frac{3}{16}\\ = 0.9167 - 0.1875\\= 0.7292feet\)

Answer:

12+1/4•12

Step-by-step explanation:

Hello friend!

The answer to your question is down below!!

1.  12+1/4•12

2. 12(1+1/4)

3.12+1/4

Answer:

y= between 9-10 patients, round down to 9

Step-by-step explanation:

y= 9/4x + 5

y = 9/4(2) + 5

y = 9.5

y= between 9-10 patients, round down to 9

Answer:

x = 18

Step-by-step explanation:

so we know that 128* and (6x+20)* have the same value so

128* = (6x+20)*

lets subtract both sides by 20

108* = 6x*

divide both sides by 6:

108/6 = 18

6x/6 = x

18 = x

Have a nice day!

and please tell me if I am wrong. :-)

9514 1404 393

Answer:

  {10, 12}

Step-by-step explanation:

The inequality can be simplified to ...

  2n -3 > 15 . . . . given

  2n > 18 . . . . . . add 3

  n > 9 . . . . . . . . divide by 2

Only two listed numbers are greater than 9:

  10, 12

The solutions to the trigonometric equation in this problem are given as follows:

Two angles are said to be complementary angles when the sum of their measures is of 90º.

For complementary angles, we have that the sine of one of the angles is the cosine of the other angle, hence in this problem we have that 2θ and θ are complementary angles.

Then the value of θ is obtained as follows:

2θ + θ = 90

3θ = 90

θ = 30º.

θ = π/6.

The equivalent angles, which are also solutions to the equation, are given as follows:

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The probability that x is between 90 and 110 as required in the task content is; 0.68.

As evident in the task content; the distribution is assumed to be a normal distribution.

Recall, In a normal distribution which is otherwise called symmetric, 68 percent of the data is said to be within 1 standard deviation of the mean.

Since mean = 100 and standard deviation = 10.

90 ≤ x ≤ 110 = 100 ± 10.

Therefore, 68% of the data is between 90 and 100 and hence, the probability that X is between 90 and 110 is; 0.68.

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The circumference and area of circle X if each unit on the graph measures 1 cm is equal to 14.1cm and 15.7cm² respectively (nearest tenth).

As given in the question,

Given coordinates:

Centre X(x₁ , y₁) = X(-3,4)

On the circle Y(x₂, y₂)= Y(-4,2)

Let r be the radius

\(r = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2} } \\\\\implies r = \sqrt{(-4-(-3))^{2} + (2-4)^{2} }\\\\\implies r = \sqrt{5}cm\)

Circumference =2πr

                         = 2×3.14×√5

                         = 14.1cm(nearest tenth)

Area = πr²

       = 3.14 ×(√5)²

       = 15.7cm²

Therefore, circumference and area of circle X if each unit on the graph measures 1 cm is equal to 14.1cm and 15.7cm²respectively (nearest tenth).

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Given:

To Determine: The height of the silo

Solution

Let us compare the ratio of Steve's height and shadow with the height and shadow of the silo

The ratio would be

Determine the height of the silo by cross-multiplying

Hence, the silo is 90ft tall

Using the function concept, it is found that the correct statement is:

A function relates each value of the input to one value of the output, hence, option b is incorrect.

In this problem:

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The value of the fifth term B is 17.

An ordered list of things is a sequence (or events). Similar to a set, it has members (also called elements, or terms). The length of the sequence is the number of ordered items (potentially infinite).

Given:

The first term of the sequence is 2.

a₁ = 2

And the explicit formula of the sequence,

aₙ = (-2)aₙ₋₁ + 3.

The value of a₂:

a₂ = (-2)a₁+ 3.

a₂ = -2(2) + 3 = -1

And a₃ = -2(-1) + 3 =5

a₄ = -2(5) + 3 = -7

Now, the value of the fifth term,

a₅ = -2(-7) + 3 = 17.

Therefore, the fifth term is 17.

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Answer:

1/4.

Step-by-step explanation:

Using implicit differentiation:

2x^2 - xy - y^2 = 15

4x - (x.dy/dx +1.y) - 2y.dy/dx = 0

4x - x.dy/dx - y - 2y.dy/dx =0

-2y.dy/dx - x. dy/dx = y - 4x

dy/dx = (y - 4x)/(-2y - x).

So at the point (2, 5):

dy/dx = (5 - 4(2)) / (-2(5) - 2)

= -3/-12

= 1/4.

Answer:

the answer is 1/4

Step-by-step explanation:

using the implicit differentiation approach

dy/dx = (-4x+y)/(-x-2y)

dy/dx at point (2,5) =¼

The two equations of a system that can be used to find the ages of both girls are y - x = 6 and 3x - y = 0.

A group of two or more equations that must be solved all at once is known as a system of equations. The objective is to determine the values of the variables that make both equations true in a system of two equations with two variables. These numbers represent the system of equations' answer. There are several ways to solve a system of equations, including substitution, elimination, and graphing. They are used to simulate and resolve issues in many branches of mathematics, science, engineering, and other disciplines.

Let us suppose the age of Celine = x.

Let us suppose the age of Cindy = y.

Given that, Celine is 6 years younger than her sister Cindy.

x = y - 6

She is also one third as old as Cindy.

x = 1/3y or y = 3x.

Substitute the value of y in equation 1:

x = 3x - 6

6 = 2x

x = 3

Substitute the value of x:

y = 3(3) = 9

Hence, the two equations that can be used to find the ages of  both girls are y - x = 6 and 3x - y = 0.

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Answer: If Im correct, Y= 14

Step-by-step explanation:

If X=2

Then 2x would be 2x2

and that equals 4

so then you have y=4+10

and 4+10=14

y=14

Answer:

y = 14

Step-by-step explanation:

y = 2x + 10 , x= 2.

y = 2(2) + 10

= 4 + 10

= 14

Answer:

False

Step-by-step explanation:

This is false although most prime numbers are not divisible two, but there is one exception to this... the number 2! The number 2 is prime and is divisible by 2. All other prime numbers cannot be divisible by 2 otherwise they would not be prime as prime numbers are only divisible by 1 and the number it self (this excludes 1).

Answer:

Step-by-step explanation:

4/mx

Answer:

winning a raffle ticket is more like to occur because there is much more chance (24tickets) to win

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

A would be 1/4 because there are 2 multiples of 4 so it would be 2/8 which would simplify to 1/4

B would be 3/5 since it’s 3/5 possibilities

C would be 12/50 because it would simplify from 24/100 to that

D would be 19/20 because there are 38 strawberry chews and + 2 cherry chews = 40 so 38/40 or 19/20

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Step-by-step explanation:

the midpoint of the line segment joining the points (-3,-1) and (-7,6) :

X = (-3-7)/2= -10/2 = -5

Y = (-1+6)/2 = 5/2 = 2.5

=> (-5, 2.5)

The y-coordinate of the point on the line when x = 8 is -1

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

The given parameters are

Slope, m = 1/2

Point, (x1, y1) = (2, -4)

The linear equation is calculated as

y = m(x - x1) + y1

So, we have

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

When x = 8, we have

y = 1/2(8 - 2) - 4

Evaluate

y = -1

Hence, the y-coordinate of the point on the line when x = 8 is -1

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Answer:

18% trust me i got you bro

Step-by-step explanation:

The graph of g(x) is on the image at the end, and the correct option for the transformation is B.

We define a horizontal dilation of scale factor k as:

g(x) = f(k*x)

if k > 1, we have a stretch.

if  0 < k < 1, we have a shink of scale factor 1/k

Here we have:

g(x) = f (5x) = 5x - 4

We can notice that k = 5, then we have a stretch, thus, the correct option is B.

The graph of function g(x) can be seen in the image at the end.,

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The null hypothesis is that there is no discernible difference among the 5 treatments. The alternative hypothesis is that there is a discernible difference among the 5 treatments

Degree of freedom between groups is nothing but the number of treatments-1 i.e. 5-1=4 and degree of freedom within groups is nothing but total number of subjects- number of treatments i.e. 5*10-5=50-5=45

Mean squares between groups is calculated as follows:

Mean squares between groups= Sum of squares between groups/degrees of freedom between groups= 232/4=58

Mean squares within groups is calculated as follows:

Mean squares within groups= Sum of squares within groups/degrees of freedom within groups= 400/45= 8.89 rounded off to two decimal places

F ratio is calculated as follows:

F= Mean squares between groups/Mean squares within groups

= 58/8.89

= 6.524184477

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Answer: Here is your answer dude