An athlete runs in a straight line along a flat surface. He starts from rest and for 20 seconds accelerate at a constant
rate. In this first 20 seconds he covers a distance of 100m. For the next 10 seconds he runs at a constant speed and
then decelerates at a constant rate for 5 seconds until he stops.
a) What is the total distance that he ran?
[5]
Another athlete runs along the same track, starting from rest and she accelerates at the same rate as her friend. She
however only accelerates for 10 seconds before running at a constant speed.

Answer:

18 oz

Step-by-step explanation:

Choco Chip Cookies (15 oz): [tex]\frac{\$3.20}{15oz}=\frac{\$0.213}{oz}[/tex]

Choco Chip Cookies (18 oz): [tex]\frac{\$3.75}{18oz}=\frac{\$0.208}{oz}[/tex]

So, the 18oz package is the better buy by about [tex]\$0.005[/tex]

Let's solve this step by step:

  *the first digit cannot have '0' as its first digit since it would make the

  number one-digit

Total Choice: 9 choices * 10 choices = 90 choices

Hope that helps!

If an item usually costs d dollars a 12% discount can be represented as 0.88d.

This refers to a deduction in the regular price of a product or service that is usually represented using a percentage.

Considering 12% is being deducted from 100% (100-12 = 88). The final price can be represented as 0.88d or 0.88 multiplied by the regular price (d).

For example, if the regular price is $100, 0.88 x 100 = $88.

Learn more about discount in: https://brainly.com/question/3541148

Answer:

1- manners

2-respect

3-behaviour

4-avoid

Answer:

1- manners

2- respect

3- behavior

4- avoid

Answer:

70

Step-by-step explanation:

60/40Ⅹ50=70

I hope this helps

Answer:

3,2,1,6,5,4

Step-by-step explanation:

Hope this helps!!!

All the correct steps to find the equation of the parabola with focus (-1, -8) and directrix y = - 12 are,

1. 2p + (- 8) = - 12                       Find p

2. Since the focus is at - 1,        Find the x - coordinates for the vertex.

then, vertex is at - 1

3. y = - 8 - 2                              Find the x - coordinates for the vertex.

4. (- 1, - 10)                                Vertex coordinates

5. (x + 1)² = 4(-2) (y+10)              Write the formula for the parabola.

6. (x + 1)² = -8 (y+10)                  Simplify the formula.

Given that,

In a parabola,

Focus = (-1 , - 8)

And, Directrix =; y = - 12

The standard equation of a parabola is,

[tex]y = - p (x - h)^2 + k[/tex]

Where, (h, k) is the vertex of the parabola.

Now, the Statement with reason to find the equation of a parabola is,

 Statement                                       Reason

1. 2p + (- 8) = - 12                       Find p

p = - 2

2. Since the focus is at - 1,        Find the x - coordinates for the vertex.

then, vertex is at - 1

3. y = - 8 - 2                              Find the x - coordinates for the vertex.

y = - 10

4. (- 1, - 10)                                Vertex coordinates

5. (x + 1)² = 4(-2) (y+10)              Write the formula for the parabola.

6. (x + 1)² = -8 (y+10)                  Simplify the formula.

To learn more about parabolas visit:

https://brainly.com/question/29635857

#SPJ4

Answer:

21.98

Step-by-step explanation:

Formula for Circumference of a Circle:

C=2πr

1. We find r, which is basically the diameter divided by 2, aka half of the diameter:

d/2 = r

Fill in:

7/2 = r

r = 3.5

2. We fill in the Formula:

C = 2πr

C = 2(3.14)(3.5)

3. Multiply it all

3.14 x 3.5 = 10.99

10.99 x 2 = 21.98

Hence, the circumference of the circle is 21.98.

Step-by-step explanation:

by using formula a+b+c=180

Using proportions, it is found that the height of the pineapple is of 280 inches = 23 ft 4 in.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, considering that a feet has 12 inches, the measures in inches, and applying the similarity of triangles, the proportions are as follows:

[tex]\frac{h}{64} = \frac{105}{24}[/tex]

Applying cross multiplication:

24h = 64 x 105

h = 64 x 105/24

h = 280

The height of the pineapple is of 280 inches = 23 ft 4 in.

More can be learned about proportions at https://brainly.com/question/24372153

Answer: I think 5000

Step-by-step explanation:

I’m probably completely wrong lol sorry

Answer:

[tex]\csc(u).sec(u)[/tex]

Step-by-step explanation:

[tex] \tan(u)+ \cot(u) \\ \\ = \frac{ \sin(u)}{ \cos(u)} + \frac{ \cos(u)}{ \sin(u)} \\ \\ = \frac{ { \sin}^{2} (u) + {\cos}^{2} (u)}{ \sin(u). \cos(u)} \\ \\ = \frac{1}{ \sin(u). \cos(u)} \\ ( \because \: { \sin}^{2} ( \theta) + {\cos}^{2} ( \theta) = 1) \\ \\ = \frac{1}{\sin(u)} \times \frac{1}{\cos(u)} \\ \\ = \csc(u).sec(u) \\ \\ \implies \: \purple{ \bold{ \tan(u)+ \cot(u) = \csc(u).sec(u)}}[/tex]

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

(Sin²u + Cos²u) = 1

The final expression of the trigonometric expression tan(u) + cot(u) is

Cosec(u) x Sec(u)

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

Tan (u) + Cot (u)

We know that,

Tan x = sin x / cos x

Cot x = cos x / sin x

Now,

Tan (u) + Cot (u)

= {Sin (u) / Cos (u) + Cos (u)}/ Sin (u)

Simplify by forming into a fraction.

= (Sin²u + Cos²u) / Sin(u)Cos(u)

[ sin² + cos² = 1 ]

So,

(Sin²u + Cos²u) = 1

= 1 / Sin(u)Cos(u)

= 1/Sin(u) x 1/Cos(u)

= Cosec(u) x Sec(u)

Thus,

The final expression of the trigonometric expression tan(u) + cot(u) is

Cosec(u) x Sec(u)

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

#SPJ2

Answer:

A. 20 / 7 = 3 (or 2.85)

B. 55 / 7 = 8 (or 7.85)

Brainliest is appreciated!

_ daintysword.mp4

Answer:

A.3

B.8

Step-by-step explanation:

this is the answer

[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &2350\\ r=rate\to 35\%\to \frac{35}{100}\dotfill &0.35\\ t=years\dotfill &4\\ \end{cases} \\\\\\ A=2350(1 - 0.035)^{4}\implies A=2350(0.965)^4\implies A\approx 2037.87[/tex]

Answer:

53

Step-by-step explanation:

[tex] \frac{sin(56)}{78.6} = \frac{sin(90)}{ab} \\ \\ absin(56) = sin(90) \times 78.6 \\ \\ ab = \frac{sin(90) \times 78.6}{sin(56)} \\ ab = 94.8 \\ \\ {x}^{2} + {78.6}^{2} = {94.8}^{2} \\ {x}^{2} = {94.8}^{2} - {78.6}^{2} \\ {x}^{2} = 8987.04 - 6177.96 \\ {x}^{2} = 2809.08 \\ x = \sqrt{2809.08} \\ x = 53[/tex]

Answer:

There is 8 adults and 1 child

Step-by-step explanation:

$78 - $6 = $72

$72 divided by 9 = 8

you would add nine 8 times and add 6 to it then it would be $78
Hope this helps you! :)

Answer:

31/10

Step-by-step explanation:

The total number of ways this can be done is 144 ways

Generally, the total outcomes that are there when n objects are spinned is expressed as n!

n! = n(n-1)(n-2)!

If he spins a spinner with four equal-sized sections labeled Red, Green, Blue, Orange and three equal-sized sections labeled Walk, Run, Stop, the total outcome is expressed as:

Total outcome = 4! * 3!
Total outcome = 24*6
Total outcome = 144 ways

Hence the total number of ways this can be done is 144 ways

Learn more on combination here: https://brainly.com/question/11732255

Answer:

the answer is 900 degrees

Step-by-step explanation:

brainliest?

Answer:

900°

Step-by-step explanation:

sum of interior angles of n sides polygon=(n-2)×180

n=7

Hence sum of interior angles of 7 sided polygon=(7-2)×180

=5×180

=900°

Answer:

10138 is the answer to 12x12x77-38x 25

Step-by-step explanation:

I added these step by step 12x12 = 144 x 77 = 11088 -38x 25 10138

3 ( 3x + 6 + x ) = 1

Step 1, apply distributive method.

9x + 18 + 3x = 1

Step 2, simplify the following

12x + 18 = 1

Step 3, Change side

12x = -17

Final answer

x = -17/12

The error/mistake was in step 2 where [ 9x +3x = 12x ]

Recheck the answer

3 ( 3x + 6 + x ) = 1

3 ( 3(-17/12) + 6 + -17/12 ) = 1

1 = 1

Hence proved our solution is correct.

Answer:

Question 1

The error is in step 2.  They have subtracted [tex]3x[/tex] from the left side of the equation, yet only subtracted 3 from the right side.

Questions 2 & 3

Solve:

[tex]3(3x + 6 + x) = 1[/tex]

Apply the distributive law [tex]a(b + c) = ab + ac[/tex] :

[tex]\implies 9x + 18 + 3x = 1[/tex]

Collect and combine like terms:

[tex]\implies 9x + 3x+ 18 = 1[/tex]

[tex]\implies 12x + 18 = 1[/tex]

Subtract 18 from both sides:

[tex]\implies 12x + 18 - 18 = 1 - 18[/tex]

[tex]\implies 12x = -17[/tex]

Divide both sides by 12:

[tex]\implies \dfrac{12x}{12}=-\dfrac{17}{12}[/tex]

[tex]\implies x=-\dfrac{17}{12}[/tex]

Answer:

6/5

Step-by-step explanation:

Calculate the volume by multiplying the measured length and width of the space together, then multiply the result by the height of the room. From the example, 10 * 25 feet = 250 square feet, and 5 * 10 feet = 50 square feet.

In the first integral, substitute [tex]x \to e^{\sqrt{e^x}}[/tex]:

[tex]\displaystyle I = \int_0^1 e^{\sqrt{e^x}} \, dx = 2 \int_e^{e^{\sqrt e}} \frac{dx}{\ln(x)}[/tex]

In the second integral, integrate by parts:

[tex]\displaystyle J = \int_e^{e^{\sqrt e}} \ln(\ln(x)) \, dx = \dfrac12 e^{\sqrt e} - \int_e^{e^{\sqrt e}} \frac{dx}{\ln(x)}[/tex]

It follows that

[tex]\dfrac{10^5}{e^{\sqrt e}}(I+2J) = \dfrac{10^5}{e^{\sqrt e}} \times e^{\sqrt e} = \boxed{10^5}[/tex]

Using a discrete distribution, it is found that Darya's expectation for this listing is of $13,700.

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

In this problem, considering the situation described in the text, the distribution is given by:

Hence, her expectation is given by:

E(X) = 0.8 x 17,700 - 0.2 x 2,300 = $13,700.

More can be learned about discrete distributions at https://brainly.com/question/24855677

Answer: 8.

Step-by-step explanation: There are 4 sizes, so let's say that the sizes are small, medium, large, and extra large.  There are 2 flavors, so let's say that the flavors are chocolate and vanilla.  The possible combinations are below:

As you can see, there are 8 possible combinations that she can choose from as far as 4 sizes and 2 flavors go.

Have a great day! :)

Answer:

1. 52yard²

2. $54

3. 30.5

Step-by-step explanation:

1. area of square shape = lenght x breadth

= 4 * 4

= 16

area of rectangle shape = lenght x breadth

= 9 * 4 = 36

tatal area = 16 + 36

= 52yard²

2. let the cost = c

thus 9% * c = 4.86

c = 4.86 * 90%

c = $54

3.area of length traingle=1\2 *base * height

= 1\2 * 3 * 7

= 10.5

area of right quadrilateral= legnth*bredth

= 4 * 3

= 12

area of right traingle = 1\2 * base * height

= 1\2 * 4 * 4

= 8

total area of shape = 10.5+12+8

= 30.5

DO MARK BRAINLIEST

Answer:52 54 30.5

Step-by-step explanation:

Answer: 48x/64

Work (assuming ^ is multiplication):

12x^4/4x^16

12x ^ 4x = 48x

4 ^ 16 = 64

Hello, the answer to your question is "Sure!"

These are the expressions:

12x-6x-9y+5y

Combine Like Terms:

6x-4y

Bingo! Now, one more:

Hmmm, let me think...

-18x+24x+16y-20y

Combine Like Terms:

6x-4y

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

:-)