The function[tex]f(x)=-11sin (\frac{7}{3}x+\frac{1}{6}) - 2[/tex] models the average rate of change in temperature of a substance monitored in an experiment. In the function, x represents the number of minutes since the commencement of the experiment and the temperature of the substance is measured in degrees Fahrenheit.

Over what range of temperatures does the average rate of change in temperature fall?

Answer:

[tex]let\ x\ be\ the\ unknown\ number[/tex]

[tex]8x+7=2x-3[/tex]

first choose a variable to represent the number.

when something is "..." times a number, we are multiplying that number by that value.

"seven added to eight times a number" means that we are multiplying the number by eight (8x) and then adding seven to it (+7).

"is" usually means 'equals to' so we put an equal sign there.

"three less than twice the number" means that we are multiplying the number by two (2x) and then subtracting three from it (-3).

An equation form of given statement is,  7 + 8m = 3 - 2m where m is any real valued number.

"It is a mathematical statement which consists of equal symbol between two mathematical expressions."

For given question,

We have been given a statement.

We need to translate given statement into a equation.

Seven added to eight times a number is three less than twice the number.

Let 'm' be any real number.

We can rewrite above statement as,

     Seven plus to eight times 'm' is three minus twice 'm'.

⇒       7        +             8 × m           =        3      -         2 × m

So, we get an equation,

⇒ 7 + 8m = 3 - 2m

Therefore, an equation form of given statement is,  7 + 8m = 3 - 2m where m is any real valued number.

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Answer:

The survey represents quantitative data and there is greater percentage of LA residents who own cars than NYC residents who do.

Answer:

[tex]2x = x + 15[/tex]

Step-by-step explanation:

Angle AGH and GHD are corresponding angles, meaning they are equal. So in order to find the equation that can be used to solve for x we need to equate both angles AGH and GHD to each other.

[tex]m < AGH\: \: \: = \: \: \: m < GHD \\ (x + 15) = (2x) \\ 15 = 2x - x \\ 15 = 1x \\ 15 = x[/tex]

They did not ask us to solve for x but I did it in case, however we can see that the answer we got corresponds with

[tex] (1) \:2x = x + 15[/tex]

Corresponding angles are equal

Option A

Answer:

1/2, 3/8, 1/8

Step-by-step explanation:

the radio of giving blue marbles is 4/8=1/2

the radio of giving green marbles is 3/8

the radio of giving red marbles is 1/8

Answer:

the probability of you getting a B marble is 1/2 for a R marble its 1/8 and for a G marble its 3/8.

Step-by-step explanation:

Answer:

B, C, and E

Step-by-step explanation:

In order for a function to be a function, an ordered pair cannot be on the same x coordinate

Answer:

  1206.4 ft³

Step-by-step explanation:

The volume of the composite figure is the sum of the volumes of its parts. Each part has its own volume formula.

__

The formula for the volume of a cone is ...

  V = 1/3Bh . . . . where B is the area of the base, and h is the height

The formula for the volume of a cylinder is ...

  V = Bh . . . . where B is the area of the base, and h is the height

The formula for the area of a circle is ...

  A = πr² = π(d/2)² = (π/4)d²

Combining the volume formulas for a figure with the same base area, we have ...

  V = B(cylinder height) + 1/3B(cone height)

  V = B(cylinder height + 1/3×cone height) . . . . where B is the base area

Using 16 ft for the diameter, and 4 ft and 6 ft for the heights of the cylinder and cone, respectively, we have ...

  V = (π/4)(16 ft)²(4 ft + 1/3×6 ft) = 64π(4 +2) ft³ = 384π ft³

The volume is about ...

  384π ft³ ≈ 1206.4 ft³

Answer:

x  = 6.2

Step-by-step explanation:

let ‘x’ denotes the weight of a smaller dog.

“1.2″ + x” be the weight of the larger dog

combined weight = 13.6

smaller dog weight =

x+x+1.2 = 13.6

2x + 1.2 = 13.6

2x = 13.6–1.2

2x = 12.4

x = 12.4/2

x = 6.2 pounds.

Hope you understood it, Happy Learning.

Answer:

24

Step-by-step explanation:

12*2=24

7*3=24

3*7=24

4*6=24

Hope this helps!

The conversion rate will affect her budget as C. Kari has almost exactly enough left in her budget to see Genoa.

From the information given, it should be noted that a trip to Genoa will cost her €60.85.

This will be converted to dollars which will be:

= 60.85/0.6859

= 88.72

Therefore, out of the $585 budget, only $88.72 is used.

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Answer:

4h - 29

Step-by-step explanation:

[tex](1-25+4h)-5\\=(-24+4h)-5\\=(4h-24)-5\\=4h-24-5\\=4h-29[/tex]

You could also write this solution as [tex]-29+4h[/tex], but I just think [tex]4h-29[/tex] looks nicer :)

Answer:

The answer to this question should be 28.3

Step-by-step explanation:

X+7x=9-19

8x=-10

X=-10÷8

X=1.25

Answer:

Step-by-step explanation:

45000 x %22 = 9900 per year

9900/12=825 per month

Answer:

1536

Step-by-step explanation:

Based on the numbers that Malik can pick and the condition of the sum being less than 5, the probability of this happening is 2/9.

The first number that Malik picked is an odd number less than 5 which makes it with 1 or 3.

In order for the two number to be less than 5 when added, the numbers to be picked have to be:

These are 4 possibilities out of a total of 18 possibilities so the probability is:

= 4 / 18

= 2 / 9

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Answer:

See image

Step-by-step explanation:

Plato

The Coordinate of A is (0, 1) and the equation of the graph with B coordinate is ¹/₂^(ˣ) - (¹/₂)x

The equation of the accompanying graph is;

f(x) = aˣ

1) We want to write the coordinate of A. Thus;

f(0) = a⁰ = 1

Thus;

Coordinate of A = (0, 1)

2) The way we can tell that: 0 < a < 1 is; From figure number and inverse functions.

3) If B is the point (4, ¹/₁₆), then;

f(4) = a⁴ = ¹/₁₆

a = ⁴√(¹/₁₆)

a = ¹/₂

4) The equation of the graph with B coordinate is;

y - ax

⇒ ¹/₂^(ˣ) - (¹/₂)x

5) To get the coordinates of the point of intersection of the two graphs is;

¹/₂^(ˣ) - (¹/₂)x = ¹/₂^(ˣ)

⇒ (¹/₂)x = 0

x = 0

Thus, the coordinate of the intersection is; (0, 0)

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Answer:

Here is the ans ...hope it helps

Answer:

A

Step-by-step explanation:

You wont find vegatarians at a hamburger restaurant but you wilk find non vegetarians at a icecream parlor

Answer:

x>21

Step-by-step explanation:

-2x + 7 < -41  Subtract 7 from both sides

-2x<-48 Divide by negative 2

x>21   When you divide by a negative you have to flip the sign

Answer:

x<28

Step-by-step explanation:

-2x+7<-41

-2x<-48      subtract 7 from both sides

x>24         divide by -2 to both sides

Answer:

A.

Step-by-step explanation:

bc, it's high preasured. meaning its going 2b snowy.

Answer:

B. f(x) is shifted left by 6 units

Step-by-step explanation:

when we talk about translations, we know they happen along the X axis, y axis or sometimes both, in this case we see that were subtracting x by six units, so we are moving left along the x axis

ways to remember this is:

 -you count up x the RIGHT way going right

 -you count UP y

and of cource by process of ellimination we know that decreasing X goes left and decreasing y goes down

ALSO NOTE: x always goes horizontally and y always goes vertically

The constant of proportionality shown in the table that shows the cost and the number of books is 3.

When there is a direct proportional relationship, it means that as the value of one variable increases, the value of the other variable also increases. As the number of books increases, the cost increases.

Direct proportion: y = kx

Where:

k = y/x

6/2 = 3

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Answer:3

Step-by-step explanation:

Answer:

Area of the triangle is 36√3

Step-by-step explanation:    Hope this will help

The hypotenuse of each 30 - 60 - 90 triangle is 12

The base length is  6 + 6 =  12 because the triangle is equilateral and the

altitude of the triangle divides the base into two equal parts and the altitude (DC) is the height of the triangle.    

Now you have two 30 - 60 - 90 triangles with the hypotenuse of 12, the short leg = 6 and you need to find the length of DC.

Finding DC .

a² + b² = c²

6² + b² = 12²       0r  the long leg = short leg times √3

36 + b² = 144                                       6√3

   b² = 108

    b = 6√3

Area of a triangle = 1/2bh

                             = 1/2(12)(6√3)

                             = 6(6√3) = 36√3  

Answer:

= 18 [tex]cm^{2}[/tex]

Step-by-step explanation:

As the triangle is right angled:

formula  

       = [tex]\frac{1}{2}[/tex] base x height

         = [tex]\frac{1}{2}[/tex] 6 x 6

         =[tex]\frac{1}{2}[/tex] x 36

         =[tex]\frac{36}{2}[/tex]

           = 18 [tex]cm^{2}[/tex]

x + yi = (1 + i)⁴

then -4 + 4 = x

Answer:

14

Step-by-step explanation:

7/8 = 14/16