What is the average rate of change in f(x) over the interval [4,13]? on a coordinate plane, a function has four points that are connected by lines. the points are (0, 0), (4, 8), (10, 5), and (13, 12). one-third four-thirteenths eleven-thirteenths eleven-eighths

Answer:

Step-by-step explanation:

sum of first six  terms of given G.P.=1+2+4+8+16+32=63

let d be c.d. of A.P.

first six terms are 1,1+d,1+2d,1+3d,1+4d,1+5d

1+1+d+1+2d+1+3d+1+4d+1+5d=63

6+15d=63

15d=63-6=57

divide by 3

5d=19

d=19/5=3.8

fifth term=1+4d=1+3.8*4=1+15.2=16.2

Answer:

15.9

Step-by-step explanation:

x^2 + 6^2 = 17^2

x squared + 36 = 289

                  -36     -36

x squared = 253

[tex]\sqrt{x}[/tex] = [tex]\sqrt{x}[/tex]253

x = 15.9

Answer:

18.0

Step-by-step explanation:

17^2+6^2= 289 + 36=325

The square root of 325 is 18.02 and when you round 18.02 to the nearest tenth it would give you an answer of 18.0.

Answer: B

Step-by-step explanation: hope this helps

Answer:

He was enlightened

Step-by-step explanation:

There was a list of things he did to become Buddha

Lives like a prince
Is depressed by the suffering he sees outside the palace
Is impressed by how contented a holy man is
Decides to give up a life of pleasures and comforts
Wanders across India looking for the end of suffering
Sits down under a tree and meditates for several weeks
Gains enlightenment

Answer:

6

Step-by-step explanation:

[tex]\text{From the question...}\\9x^2 + 4y \div z\\x = \frac{2}{3}\\y = 3\\z = 6\\\\\text{Substitute in values}\\9(\frac{2}{3})^2 + 4(3) \div (6)\\\\\text{Following the rules of BODMAS or PEMDAS}\\9(\frac{4}{9}) + 12 \div 6\\4 + 2\\6[/tex]

Answer:

the andswer there is D

Step-by-step explanation:

just think of it as a cylinder and a square

put both circular parts together and you have a cylinder with the diameter of 12 and a height of 7 and find the volume of that which is πr²h so π 6² 7

then the volume of your rectangular prism is the length times width times height so 12 by 12 by 7

Answer:

68

Step-by-step explanation:

the interior angles of a triangle always adds up to 180. So if you add 59 and  

53 together you would get 112. Then subtract that from 180 and you would get 68.

Answer:

28cm

Step-by-step explanation:

Given that;

14cm = 5m

x = 10m

cross multiply

5x = 140

divide both side by (5)

[tex] \frac{5x}{5} = \frac{140}{5} [/tex]

:- x = 28cm

So, 3.55 g of copper could be made from 4 g of copper oxide.

The formula for copper oxide to convert to copper is a chemical equation Cupric oxide, or copper (II) oxide, is an inorganic compound with the chemical formula CuO.

The recursive function is h(n) = -1/3h(n - 1) where h(0) = 63

The function is given as:

[tex]h(n) = 63* (-\frac{1}{3})^n[/tex]

Set n to 0

[tex]h(0) = 63* (-\frac{1}{3})^0[/tex]

Evaluate

h(0) = 63

This means that the function h(n) has the following parameters:

First term = 63

Rate = -1/3

Hence, the recursive function is h(n) = -1/3h(n - 1) where h(0) = 63

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A percentage is a way to describe a part of a whole. The regular selling price of the computer notebook will be $937.5.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Let the selling price of the computer notebook be represented by x.

Now, if Sara buys the computer this week, the selling price of the computer will be (100%-16%)x = 0.84x.

Also, the saving she made by buying this week will be $150, therefore, we can write,

x-0.84x = $150

0.16x = $150

x = 937.5

Hence, the regular selling price of the computer notebook will be $937.5.

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Answer:

15 u³

Step-by-step explanation:

Volume = width × length × height

Given:

⇒ Volume = 2u × 2 ¹/₂ u × 3u

                 = 15 u³

[tex]\underline{\tt{❖ \: Given \: \: ❖}}[/tex]

given figure

[tex] \green{\rule{15pt}{ 15pt}} \: \: \: \green{\rule{15pt}{15pt}} \: \: \: \green{\rule{7.5pt}{15pt}} \\ \: \: \: \: \: \: \green{\rule{15pt}{ 15pt}} \: \: \: \green{\rule{15pt}{15pt}} \: \: \: \green{\rule{7.5pt}{15pt}} \sf \: 2u \\ \green{\rule{15pt}{ 15pt}} \: \: \: \green{\rule{15pt}{15pt}} \: \: \: \green{\rule{7.5pt}{15pt}} \\ \sf \: 2 \dfrac{1}{2}u[/tex]

[tex]\underline{\tt{❖ \: To \: find \: ❖}} [/tex]

[tex]\underline{\tt{❖ \: Using \: formula \: ❖}} [/tex]

[tex]\underline{\tt{❖ \: Solution \: ❖}} [/tex]

we have,

[tex]\sf \: volume = width \times length \times height[/tex]

[tex]\sf \: volume = 2u \times 2 \dfrac{1}{2}u \times 3u[/tex]

[tex]\sf \: volume = 2u \times \dfrac{5}{2}u \times 3u[/tex]

[tex]\sf \: volume = \cancel2u \times \dfrac{5}{ \cancel2}u \times 3u[/tex]

[tex]\sf \: volume = u \times 5u \times 3u[/tex]

[tex]\sf \: volume = 15u {}^{3} [/tex]

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Answer:The distance is 10.8

Step-by-step explanation:

Answer:

[tex]\sf \boxed{\sf D) \ \sf -\frac{5}{3} }[/tex]

Explanation:

[tex]\rightarrow \sf 3x - 5y = -10[/tex]

[tex]\rightarrow \sf - 5y = -10-3x[/tex]

[tex]\rightarrow \sf y = \dfrac{-10-3x}{-5}[/tex]

[tex]\rightarrow \sf y= \dfrac{3}{5} x+2[/tex]

Comparing it with slope intercept formula: y = mx + b

Identify the slope for this function:

[tex]\cdot \ \sf slope \ (m) : \dfrac{3}{5}[/tex]

Then perpendicular slope shall be negatively inverse:

[tex]\sf perpendicular \ slope = -(m)^{-1} \quad = \quad -(\dfrac{3}{5} ) ^{-1} \quad = \quad -\dfrac{5}{3}[/tex]

Answer:

D

Step-by-step explanation: i got it right

Answer: 54 degrees

Step-by-step explanation:

Since AZ is tangent to circle V, it forms a 90 degree angle with the circle. If you compare XW with AZ, you can see they are perpendicular to each other. Angle W has already been found, and it's 36 degrees.

So if you subtract 90 by 36, it gives you YWZ, 54 degrees.

Answer:

y = 7.5[tex]\sqrt{x}[/tex]

Step-by-step explanation:

given y is directly proportional to [tex]\sqrt{x}[/tex] then the equation relating them is

y = k[tex]\sqrt{x}[/tex] ← k is the constant of proportion

to find k use the condition y = 75 , x = 100 , then

75 = k[tex]\sqrt{100}[/tex] = 10k ( divide both sides by 10 )

7.5 = k

y = 7.5[tex]\sqrt{x}[/tex] ← equation of proportion

#10

Option A and B

#11

Option C

Answer:

   10. (2) x - 3

    11. (3) 5a

Step-by-step explanation:

Question 10

Question 11

Simplifying

Answer:

10 meters.

Step-by-step explanation:

We know the ball travelled a distance of at least 6 meters as that is how far it was dropped.

It rebounded 2/3 of 6 meters, which is 4 meters.

6 meters add 4 meters is 10 meters.

Answer:

  B = 43°

  a = 11.0

  b = 10.2

Step-by-step explanation:

The relationship between side lengths and trig functions in a right triangle is summarized in the mnemonic SOH CAH TOA. It tells you, for example, ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

__

Applied to this triangle, the unknown sides can be found from ...

  sin(47°) = a/15

  a = 15·sin(47°) ≈ 11.0

and

  cos(47°) = b/15

  b = 15·cos(47°) ≈ 10.2

__

The second acute angle in a right triangle is the complement of the first:

  B = 90° -47° = 43°

Answer:

The Surface area will double and the volume will triple.

Step-by-step explanation:

This is because the dimensions will cause the shape to double in surface area and triple in volume as surface area is in a two-dimensional space while volume is in a 3-dimensional plane.

Answer:

See below ~

Step-by-step explanation:

Subpart (h) :

⇒ By doubling the dimensions of a rectangular prism, the surface area becomes 2 times the original value

===========================================================

Subpart (i) :

⇒ By doubling the dimensions of a rectangular prism, the volume becomes 8 times the original value

Answer:

[tex]\{ x: x < 0 \} \cup \{ x: x > 1 \}[/tex]

Step-by-step explanation:

A function is increasing when its gradient is positive (so y-coordinates are increasing).

We have a graph, rather than a function given to us, so we don't need to use any calculus.

Looking at the graph, we can see that before x=0, the graph is going up (gradient is increasing).

Between x=0 and x=1, the function is decreasing.

After x=1, the function is increasing again.

We can use mathematical notation to express this.

[tex]\{ x: x < 0 \} \cup \{ x: x > 1 \}[/tex]

Or

[tex]x < 0\ \text{and}\ x > 1[/tex]

A function assigns the values. The interval on which the given function is increasing is (-∞,0)∩(1,∞).

A function assigns the value of each element of one set to the other specific element of another set.

For the given functions graph, the interval on which the given function is increasing is the interval of the function where the slope of the function is positive. Therefore, the interval of the function on which the given function is increasing is (-∞,0) and (1,∞). The interval for the given function can also be written as (-∞,0)∩(1,∞).

Hence, the interval on which the given function is increasing is (-∞,0)∩(1,∞).

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Answer:

-2x < 23-7

-2x < 16

-2x÷-2 < 16 ÷ -2

x > -8

The equation that has only one real number solution is

4a²x²+4abx+ b² = 0 and the solution is x = -b/2a where a, b, and c are real values.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

If the quadratic equation has only one solution, then

[tex]\rm b^2 - 4ac = 0[/tex]   or

[tex]\rm b^2 = 4ac[/tex]

[tex]\rm x = \dfrac{-b}{2a}[/tex]

2ax = - b

(2ax+b) = 0

(2ax+b)² = 0  (square on both sides)

[tex]\rm 4a^2x^2 + 4abx+ b^2 = 0[/tex]

Thus, the equation that has only one real number solution is

4a²x²+4abx+ b² = 0 and the solution is x = -b/2a where a, b, and c are real values.

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Answer:

40

Step-by-step explanation:

24 divided by 3 is 8. 8 multiplied by 5 is 40.

Answer:

Where is the picture of the surface area?

Step-by-step explanation:

I need the picture in order for me to help your question.

Answer:

10, 20, 15

Step-by-step explanation:

10 is the lowest so that leaves the mean and range well the range is the highest value minus the lowest and the range is 10 so 20-10=10

so we now have 10 and 20 so then what number divided by three as in three darts equals 15 I go down the list and I get 45/3 and it equals 15

Answer:

yes

Step-by-step explanation:

Answer:

  17.3 cm³

Step-by-step explanation:

The volume of a pyramid is given by the formula ...

  V = 1/3Bh

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

__

The volume of a square pyramid with base area 5.5 cm² and height 6.4 cm is ...

  V = 1/3(5.5 cm²)(6.4 cm) ≈ 17.333... cm³

The volume of the pyramid is about 17.3 cm³.

Answer: Let's put the chart into ordered pairs:

(x, y)

(2,1)

(3,4)

(3,3)

(4,2)

(5,5)

In bold, we see that there are two y-values at x=3. This means that this relation fails the vertical line test (two points on the same verticle line). This is not a function.

The answer options may be mis-written.

The answer is no, because one x value corresponds to more than one y-value.

Have a great day!

and night..

;).

Step-by-step explanation: