Based on the position vs. time graph, which velocity vs. time graph would correspond to the data? A graph with horizontal axis time (seconds) and vertical axis position (meters). A line runs straight upward from 0 seconds 0 minutes.

Answer:

[tex]T_{10} = 0.05078125[/tex]

[tex]S_{18} = 51.9998016358[/tex]

Step-by-step explanation:

Given:

Sequence = 26, 13, 6.5 ....

Solving (a): The 10th term

The sequence is a geometric progression and the nth term will be solved using:

[tex]T_n = ar^{n-1}[/tex]

In this case:

[tex]n = 10[/tex]

[tex]r = \frac{T_2}{T_1}[/tex] --- Common Ratio

[tex]r = \frac{13}{26}[/tex]

[tex]r = 0.5[/tex]

[tex]a = 26[/tex] --- First term

So, [tex]T_n = ar^{n-1}[/tex] becomes

[tex]T_{10} = 26 * 0.5^{10-1}[/tex]

[tex]T_{10} = 26 * 0.5^{9}[/tex]

[tex]T_{10} = 26 * 0.001953125[/tex]

[tex]T_{10} = 0.05078125[/tex]

Solving (b): The sum of first 18 terms

This will be calculated using:

[tex]S_n = \frac{a(1 - r^n)}{1 - r}[/tex]

Substitute values for n, a and r

[tex]S_{18} = \frac{26 * (1 - 0.5^{18})}{1 - 0.5}[/tex]

[tex]S_{18} = \frac{25.9999008179}{0.5}[/tex]

[tex]S_{18} = 51.9998016358[/tex]

Hence, the sum of first 18 terms is 51.9998016358

Answer:

b on edg

Step-by-step explanation:

second part

a=4

b=5

Answer:

the aswer is A

Step-by-step explanation:

Answer:

D. -4,1,7,15

Step-by-step explanation:

Range is the y axis

Answer:

y = x + 3

Step-by-step explanation:

1 + 3 = 4

2 + 3 = 5

3 + 3 = 6

And so on

Answer:

{2.3, 5.0, 7.5, 10.0, 12.5} Option b

Step-by-step explanation:

Domain is the input values and the range is the output values. The y values.

Answer:

b

Step-by-step explanation:

Answer:

contrapositive

Step-by-step explanation:

Answer:

Step-by-step explanation:

O=0O

KO[K]

Answer:

Expanded Notation Form:

 421.53 =

 400  

+ 20  

+ 1  

+   0.5

+   0.03

Expanded Factors Form:

   421.53 =

 4 × 100  

+ 2 × 10  

+ 1 × 1  

+ 5 ×   0.1

+ 3 ×   0.01

Expanded Exponential Form:

 421.53 =

4 × 102

+ 2 × 101

+ 1 × 100

+ 5 × 10-1

+ 3 × 10-2

Word Form:

421.53 =

four hundred twenty-one and fifty-three hundredths

Step-by-step explanation:

Answer:

Step-by-step explanation:

400  

+ 20  

+ 1  

+   0.5

+   0.03

Answer:

260?

Step-by-step explanation:

I used the equation (4)13+(16)13 and plugged it into my calculator and got 260.

The sum of 4 thirteens and 16 thirteens is 260.

What is the meaning of sum?

You add up all the numbers to arrive at the sum. When you summarise something, you pay attention to all of its crucial components. A specific sum of money can also be referred to using the word sum. You might have to spend a sizable sum of money on a new car. However, you might be able to justify spending so much if you add up or total all of its advantages. When you add up the costs of everything you ordered, the total on a restaurant bill is determined. Sum need not be restricted to numbers. When you summarise something, you're providing a summary or overarching statement about it.

Here, 4 thirteens = 4 × 13 = 52

16 thirteens = 16 × 13 = 208

Sum of 4 thirteens and 16 thirteens = 52 + 208 = 260

Hence, 260 is the correct answer.

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Answer:

91%

Step-by-step explanation:

we can use combinations:

Total probabilities = 12! / (4!8!) = 479,001,600 / 967,680 = 495

Probability of no defective unit = ₁₀C₄ = 10!/4!6! = 3,628,800 / 17,280 = 210

Probability of one defective unit = ₁₀C₃ · ₂C₁ = 10!/3!7! · 2!/1! = 120 · 2 = 240

Probability of no more than one defective unit = (210 + 240) / 495 = 450 / 495 = 91%

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

slope formula: [tex]\frac{y{2}-y{1} }{x{2}-x{1}}[/tex]

x1 and y1 are (-2, -1)

x2 and y2 are (4, 3)

[tex]\frac{3-(-1)}{4-(-2)}[/tex]

[tex]\frac{3+1}{4+2}[/tex]

[tex]\frac{4}{6}[/tex]

[tex]\frac{2}{3}[/tex]

Answer:

One is greater than zero, one is less than zero because one is on the right of the decimal and the other one is on the left of the decimal/

Step-by-step explanation:

Answer: because 4 tenths, is another way of saying 4/10 and in decimal form it's 0.4 and 4 tens is 10 10 10 10 which will = 40 a whole number

Step-by-step explanation:

Answer:

(-5,5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

b) x^2 - 8x + 20 is always positive because in part a, you figured out that it could also be written as (x-4)^2 + 4.

You know that (x-4)^2 is greater than or equal to 0 so by adding 4, the result will always be positive

Answer:

-log_4

Step-by-step explanation:

The value of log1/4 rounded to the nearest hundredth is -0.60

Given the parameter which is needed for our Calculation:

Using a calculator, the value of log1/4 is -0.602059

Rounding to the nearest hundredth, is two digits after the decimal point.

Hence, we have ;

Therefore, log1/4 is -0.60

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Answer:

2

Step-by-step explanation:

108*2

=216

216

=6^3

PLS GIVE BRAINLIEST

Answer:

The correct answer is B

Answer:

♡ hi there, madi here! ♡

hope your having a great day.

I did the math so here's your answer.

2x−3)(x−3)=0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

2x-3=0.   x-3=0

Set the first factor equal to 0 and solve.

x=3/2

Set the next factor equal to 0 and solve.

x=3

Therefore, the final solution is all the values that make (2x-3) (x-3)=0 true. x=3/2,3♡

✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧

Answer:

< EAC = 31 (small angle of blue triangle)

< BCA = 31 (small angle of green triangle)

< ABC = 104 (big angle of green triangle)

< BDC = 45 (yellow triangle)

< BDF = 135 (outside yellow triangle)

< AEG = 76 (outside blue triangle)

Answer:

9

Step-by-step explanation:

12 / 4 = 3

3 x 3 = 9

Answer:

10^4 or 3.5

Step-by-step explanation:

Note: As you missed to add the graph of mentioning the complete question.

So, I am solving your concept based on an assumed graph which I have attached. It would anyways clear your concept.

Answer:

Please check the explanation!

Step-by-step explanation:

Given the attached graph below, it is clear that the right angle triangle ABC is shown.

Here are some of the information we can get from the right angle triangle ABC such as:

We have to determine the unknown side 'x' using the trigonometric ratios

As

tan Ф = opp/adjacent

From the diagram it is clear that

Ф = 30°

opp=8

adjacent = BC = x

so

tan Ф = opp/adjacent

tan 30 = 8/x

1/√3 = 8/x

x = 8×√3

x = 13.9

Therefore, the missing length will be: x = 13.9

Answer:

The average speed on level road is 65 mph

Step-by-step explanation:

Let the speed on the winding road be x mph

So the speed on the straight road will be x +20 mph

Mathematically, distance = speed * time

Distance on level road will be;

(x + 20)2

Distance on winding road will be;

x* 4 = 4x

Thus, we have;

2(x + 20) + 4x = 310

2x + 40 + 4x = 310

6x + 40 = 310

6x = 310 - 40

6x = 270

x = 270/6

x = 45 mph

The average speed on the level road is x + 20

That will be 45 + 20 = 65 mph

Answer:

C |p| = 4

Step-by-step explanation:

If a player wins 4points during each turn, then, the total points will be +4points

If the player looses 4points, total points lost will be -4points

The total number of point p the player can have will be represented as;

|p| = 4 (since is both positive and negative 4 )

Note that the nodulus of a variable will return both positive and negative value of that variable

Answer:

- 4/15

Step-by-step explanation:

The  - and - make a + so -2/3 + 2/5

HOPE THIS HELPS

PLZ MARK BRAINLIEST

Answer:

The quotient of forty-two and six is seven.