A student in a foreign language program learns 15 new words each week. Which graph best represents the relationship between x, the number of weeks the student has been in the program and y, the total number of new words the student has learned

vâng vì phụ nữ là những người tán gẫu

The movement of the ping pong ball follows a exponential progression.

1. Ping pong ball

The given parameters are:

[tex]\mathbf{a = 235}[/tex] --- the initial height

[tex]\mathbf{r = 75\%}[/tex] --- the common ratio

(a) The expression after bouncing k times

To do this, we make use of

[tex]\mathbf{T_n = a \times r^n}[/tex]

So, we have:

[tex]\mathbf{T_n = 235 \times (0.75)^n}[/tex]

In this case; k = n.

So, the equation becomes

[tex]\mathbf{T_k = 235 \times (0.75)^k}[/tex]

Hence, the expression for the k-th bounce is: [tex]\mathbf{T_k = 235 \times (0.75)^k}[/tex]

(b) The height after bouncing 6 times

This means that k = 6.

So, we have:

[tex]\mathbf{T_k = 235 \times (0.75)^k}[/tex]

[tex]\mathbf{T_6 = 235 \times (0.75)^6}[/tex]

[tex]\mathbf{T_6 = 41.82}[/tex]

Hence, the height after the 6th bounce is 41.82 ft

(c) The total distance after the 12th bounce

First, we calculate the total height after the 12th bounce using:

[tex]\mathbf{S_k = \frac{a(1 - r^k)}{1 - r}}[/tex]

So, we have:

[tex]\mathbf{S_k = \frac{235 \times (1 - 0.75^{12})}{1 - 0.75}}[/tex]

[tex]\mathbf{S_k = \frac{235 \times (0.968)}{0.25}}[/tex]

[tex]\mathbf{S_k = 909.92}[/tex]

So, the total distance is:

[tex]\mathbf{Distance = 2 \times S_k - a}[/tex]

[tex]\mathbf{Distance = 2 \times 909.92 - 235}[/tex]

[tex]\mathbf{Distance = 1584.84}[/tex]

Hence, the total distance after the 12th bounce is 1584.84ft.

(2) Cell division

The given parameters are:

[tex]\mathbf{r = 2/2hr}[/tex] --- rate

[tex]\mathbf{a = 120}[/tex] --- initial number of cells

[tex]\mathbf{t = 18}[/tex] --- number of 2 hours is a day and a half

So, the number of bacteria is:

[tex]\mathbf{T_t = ar^t}[/tex]

This gives

[tex]\mathbf{T_t = 120 \times 2^{18}}[/tex]

[tex]\mathbf{T_t = 31457280}[/tex]

Hence, there will be 31457280 bacteria after a day and a half.

Read more about exponential functions at:

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Answer:

d+13=4 is wrong it would be divede because it says put one in each napkin so it is being divided

Step-by-step explanation: 13/d

Answer:

12/13

Step-by-step explanation:

P(card is not an Ace) =

(# of ways to not pick an ace) / (# of ways to pick a card from the deck) =

(52 - 4)/(52) =

48/52 =

12/13

Due to the fact that no one can consume .04 of a tablet, we can round down this answer to 1. Even if we were told to round to the tens place, we would still be unable. Remember, 5 or above, give it a shove, 4 or below, let it go. This means that Mr. Jones should take C- 1 tablet per day.

I hope I've helped! :)

Answer:

I think it's x=5

Step-by-step explanation:

3x+15=2x+20

-2x. -2x

x+15=20

-15. -15

x=5

sorry if is not the answer

i had to do the answer as a pic cuz my iPad is gonna die.

sorry <:)

Answer:

Step-by-step explanation:

x = - 23

y = - 5

z = - 10

(x - 12)/(y+z)=

(-23 - 12)/(-5-10)=

45/15=

7/3

Answer:

0.333 < 1.03

Step-by-step explanation:

1.03 is greater than 0.333.

In fraction form, 1.03 is [tex]1\frac{3}{100}[/tex].

While 0.333 is [tex]\frac{33}{100}[/tex], which is a third of 1.

Therefore, 0.333 <  1.03.

Answer:

this can't be solved

Step-by-step explanation:

11=4x 11/4=2 .75????

before you enter the data into the regression calculator, decide which variable should be on x and y axis. then enter the data pairs. press the linear regression button to create the regression line

Answer:

Step-by-step explanation:

Factorize the numbers:

LCM of the numbers is:

This is a maximum number of front liners.

Each will receive:

Answer:

38.3 miles per gallon

Step-by-step explanation:

if you divide the miles driven by the gallons used you get 38.3

689.4 / 18 = 38.3

1263.9 / 33 = 38.3

1570.3 / 41 = 38.3

Answer:

5/3

Step-by-step explanation:

We need to rewrite the equation in slope intercept form

y =mx +b where m is the slope

-3x-5y = 7

Add 3x to each side

-5y = 3x+7

Divide by -5

y = -3/5 x -7/5

The slope of this line is -3/5

Perpendicular lines  have slopes that are negative reciprocals

-1 / (-3/5)

5/3

The slope of the perpendicular line is 5/3

Answer:

Relfection over the x axis

Step-by-step explanation:

It is the name shape but flipped onto the other side, therefore it is a reflection

Answer:

[tex]7x + 2 = 8x + 5 \\ collecting \: like \: terms \: \\ 7x - 8x = 5 - 2 \\ - 1x = 3[/tex]

(ecuacion primer grado para hoy. ). what does this mean..

Answer:

Recopilar términos semejantes

Answer:

side HG would be proud of the side EF and parallelogram EFGH

Answer:

y-2 = -2(x+4)

or

y = -2x-6

Step-by-step explanation:

We can use the point slope form of a line

y-y1 = m(x-x1)  where m is the slope and (x1,y1) is a point on the line

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

y-2 = -2(x+4)

If we want the equation in slope intercept form

Distribute

y-2 = -2x-8

Add 2 to each side

y-2+2 = -2x-8+2

y = -2x-6

Answer:

5:2

or

5 to 2

or

5/2

Step-by-step explanation:

This shows that it will take the particle 23 secs to meet.

The distance travelled by each particle is 50cm

If two particles are projected simultaneously towards each other from opposite ends of a straight horizontal tube,

The first particle distances are 97cm, 93cm, 89cm... every 2secs

This form an arithmetic sequence and the nth term is expressed as:

Tn = a  + (n - 1)d

a is the first term = 97

d is the common difference = 4

Substitute

Tn = 97+(n - 1)(4)

Tn = 97 + 4n -4

Tn  = 4n  + 93

Similarly for the distances 49 cm, 47 cm, 45cm .....

This also forms an arithmetic sequence and the nth term is expressed as:

Tn = a  + (n - 1)d

a is the first term = 49

d is the common difference = 2

Substitute

Tn = 49+(n - 1)(2)

Tn = 49 + 2n -2

Tn  = 2n  + 47

For the particles to meet, this means that 4n  + 93 = 2n + 47

4n - 2n = 47 - 93

2n = -46

n = -23

This shows that it will take the particle 23 secs to meet.

To get the distance travelled by each particle

Tn  = 4n  + 93

T2 = 4(2) + 93

T2 = 101

For the other sequence;

Tn  = 2n  + 47

T2  = 2(2)  + 47

T2 = 51

Taking the difference;

D = 101 - 51 = 50cm

Hence the distance travelled by each particle is 50cm

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Answer:

40%

Step-by-step explanation:

2/5 = 40/100 or 40%

Answer:

The missing value is 56.

Step-by-step explanation:

All side angles must add up to 180. So given the 2 angle measures 30+94 = 124.

Then subtract 180 from 124 to get your answer of 56.

When you add up all the angles, it gets you 180 evenly.

Answer:

Ture I tink

Step-by-step explanation:

Answer:

6x+2/3-2=4x-4/6

6x-4x = 2-⅔-4/6

2x = 2-(4+4)/6

2x = (12-8)/6

2x = 4/6

12x = 4

x = 4/12

x =⅓

Step-by-step explanation:

brainliest plz

Answer:

210

Step-by-step explanation:

210 students attend the school. if 60 students are taking art, and there are 2 art students in every 7 students, that means there are 30 groups of 7 because 30×2=60 so since the other 5 do not take art, you would multiply 30×5 and get 150. Then you would add 60 and you would get 210

Answer:

[tex] {280m}^{3} [/tex]

Answer:

D. 280 m³

Step-by-step explanation:

The formula for the volume of a cuboid is length × width × height

v = 20 m × 7 m × 2 m = 280 m³

Answer:

American Crows can be considered partially migratory. That is, some populations migrate, others are resident, and in others only some of the crows migrate. Crows in the southern parts of their range appear to be resident and not migrate. They may make some changes in their use of space at this time, spending more time off the territory to forage and roost. Crows migrate out of the northern most parts of their range. It has been stated that crows migrate out of those areas where the minimum January temperature averages 0 ° F. Certainly crows leave the northern Great Plains in the fall, leaving Saskatchewan and Alberta to winter in the lower Plains states of Nebraska, Kansas, and Oklahoma (Kalmbach, E. R., and S. E. Aldous. 1940. Winter banding of Oklahoma crows. Wilson Bull. 52: 198-206). Crows can be seen crossing the Great Lakes in spring and fall, and these birds undoubtedly are migrating to and from parts of Canada.

Step-by-step explanation:

because  They may make some changes in their use of space at this time, spending more time off the territory to forage and roost. Crows migrate out of the northern most parts of their range. It has been stated that crows migrate out of those areas where the minimum January temperature averages 0 ° F.

Answer:

62.24

Step-by-step explanation:

The predicted temperature after 3 minutes will be 62.24 °C. Then the correct option is B.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

A cup of coffee's temperature was measured over a 30-minute period in degrees Celsius.

Let T be the temperature and t be the time. Then the regression equation is given as,

ln T = 4.20 - 0.023 t

Then predicted temperature after 3 minutes is given as,

ln T = 4.20 - 0.023 x 3

ln T = 4.20 - 0.069

ln T = 4.131

T = 62.24 °C

The predicted temperature after 3 minutes will be 62.24 °C. Then the correct option is B.

More about the function link is given below.

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#SPJ5

9514 1404 393

Answer:

Step-by-step explanation:

Let w represent the length of the wire. Then the height of attachment is (w-1). The Pythagorean theorem tells us a relevant relation is ...

  5² +(w -1)² = w²

  w² -2w +26 = w² . . . . . . . eliminate parentheses, collect terms

  26 = 2w . . . . . . . . . . . . add 2w

  13 = w . . . . . . . . . . . . divide by 2

The length of the wire is 13 feet.

__

(a) When h = 0, the equation is ...

  0 = -16t^2 +8t +8

Dividing by -8 puts this into standard form:

  2t^2 -t -1 = 0

Factoring, we get ...

  (2t +1)(t -1) = 0

The positive value of t that makes a factor zero is t = 1.

It will take 1 second for the gymnast to reach the ground.

__

(b) When h = 8, the equation is ...

  8 = -16t^2 +8t +8

Subtract 8 and divide by 8 to get ...

  0 = -2t^2 +t

  0 = t(1 -2t) . . . . factor out t

Values of t that make the factors zero are ...

  t = 0

  t = 1/2

The gymnast will be 8 feet above the ground at the start of the dismount, and 1/2 second later.

Answer:

point-slope form: y - 0 = ½(x - 3)    

Step-by-step explanation:

Given the slope, m = ½, and the x-intercept, (3, 0):

We can substitute these values into the point-slope form:

y - y1 = m(x - x1)

y - 0 = ½(x - 3) ←  This is the point-slope form.

If ever you need to transform the point-slope form into its slope-intercept form, y = mx + b:

Distribute ½ into the parenthesis:

y - 0 = ½(x - 3)

y = ½x - 3/2  (this is the slope-intercept form).