You recently saw a news article that included this graph and had the title “A Nation of Procrastinators”. What evidence from the graph supports this title?

Answer:

Its either 55 or 56

Step-by-step explanation:

If rounded its 56 if it doesnt ask you to round its 55

The mean and median of the given data set are 5.55 and 4.

So, the data is:

(A) Mean of data:

(B) Median of data:

Therefore, the mean and median of the given data set are 5.55 and 4.

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Answer:

The writing is blurry. Please snap again in closer range

Answer:

8

Step-by-step explanation:

300-175=125

125/15=8

8

Step-by-step explanation:

first do 300- 175

then 15c

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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The equation of a circle that is congruent to circle C and is centered at point P is (x - 5)² + (y - 1)² = 5².

In Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;

(x - h)² + (y - k)² = r²

Where:

Based on the information provided, we have the following parameters for the equation of this circle:

By substituting the given parameters, we have:

(x - h)² + (y - k)² = r²

(x - 5)² + (y - 1)² = 5²

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Answer:

3/4  x  5  =  15/20

3/5  x  4  =  12/20

15/20 + 12/20 = 27/20

Hope this helps!

The sentence which show correct verb tense usage is The overall outlook is favorable.

Verbs are a necessary component of communication in every language, including English, without which it would be difficult to convey what the subject is doing. All acts, including those motivated by sentiments and emotions, are included.

Verbs exist in a variety of forms and kinds so they can function in many ways to convey the whole meaning. Let's have a look at how different dictionaries define the word "verb" before we examine the many kinds of verbs and their forms.

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The area of the sector in terms of π is 35.6π inches squared.

The area of the sector is approximately  111.6 inches square

The area of sector of a circle is the amount of space enclosed within the boundary of the sector.

Therefore,

area of a sector = ∅ / 360 × πr²

where

Therefore,

∅ = 200 degrees

r = 8 inches

area of the sector = 200 / 360 × 8²π

area of the sector = 200 / 360 × 64π

area of the sector =12800π/  360

area of a sector = 35.6π inches squared

Let's find the area of the sector with π = 3.14

area of a sector = 35.6 × 3.14 = 111.6 inches square

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\( \sqrt{x} = 7\)

\(x = {7}^{2} \)

\(x = 49\)

Root.

Let \(f(x) = x^3 - 2x - 2\). Then differentiating, we get

\(f'(x) = 3x^2 - 2\)

We approximate \(f(x)\) at \(x_1=2\) with the tangent line,

\(f(x) \approx f(x_1) + f'(x_1) (x - x_1) = 10x - 18\)

The \(x\)-intercept for this approximation will be our next approximation for the root,

\(10x - 18 = 0 \implies x_2 = \dfrac95\)

Repeat this process. Approximate \(f(x)\) at \(x_2 = \frac95\).

\(f(x) \approx f(x_2) + f'(x_2) (x-x_2) = \dfrac{193}{25}x - \dfrac{1708}{125}\)

Then

\(\dfrac{193}{25}x - \dfrac{1708}{125} = 0 \implies x_3 = \dfrac{1708}{965}\)

Once more. Approximate \(f(x)\) at \(x_3\).

\(f(x) \approx f(x_3) + f'(x_3) (x - x_3) = \dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125}\)

Then

\(\dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125} = 0 \\\\ \implies x_4 = \dfrac{5,881,319,037}{3,324,107,515} \approx 1.769292663 \approx \boxed{1.769293}\)

Compare this to the actual root of \(f(x)\), which is approximately 1.769292354, matching up to the first 5 digits after the decimal place.

Answer:

645

Step-by-step explanation:

Answer:

645

Step-by-step explanation:

6.45 divided by 0.01

Answer:

18 = 3 × 6

Step-by-step explanation:

Answer:

1748

Step-by-step explanation:

Tuesday + Wednesday - Monday

Hi there!

\(\large\boxed{x \approx 19.6}\)

We can use right triangle trigonometry to solve.

We are given the angle's adjacent side and are trying to solve for the hypotenuse, so:

Use cosine: cos Ф = A / H

Thus:

cos 30° = 17 / H

Simplify:

0.866 = 17 / H

Isolate for H:

H · 0.866 = 17

H = 17 / 0.866

H = 19.63 ≈ 19.6

Answer:

x = 19.6

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj / hyp

cos 30 = 17/x

x cos 30 = 17

x = 17/cos 30

x=19.62990

To the nearest tenth

x = 19.6

the left side of this equation equal the right side through the process of completing the square that establishes the equality between the left side and the right side of the Gaussian integral equation.

using  completing the square method:

Starting with the left side of the equation:

∫\(e^(^-^x^2)\) dx

\(e^(^-^x^2) = (e^(^-x^2/2))^2\)

∫\((e^(^-^x^2/2))^2 dx\)

let  u = √(x²/2) =  x = √(2u²).

dx = √2u du.

∫ \((e^(^x^2/2))^2 dx\)

= ∫ \((e^(^-2u^2)\)) (√2u du)

The integral of \(e^(-2u^2)\)= √(π/2).

∫ \((e^(-x^2/2))^2\) dx

= ∫  (√2u du) \((e^(-2u^2))\\\)

= √(π/2) ∫ (√2u du)

We substitute back  u = √(x²/2), we obtain:

∫ \((e^(-x^2/2))^2\)dx

= √(π/2) (√(x²/2))²

= √(π/2) (x²/2)

= (√π/2) x²

A comparison  with the right side of the equation  shows that they are are equal.

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Natalie will pay her parents $9 each week, and the initial amount she still owed was $180.

We can see that Natalie is reducing the amount she owes by $18 every two weeks.

Therefore, the amount she owes after 2 weeks is $180 - $18 = $162, after 4 weeks is $144, after 6 weeks is $126, and after 8 weeks is $108.

This means that after n weeks, the amount she still owes is:

$180 - $18n

Since she will pay the same amount each week, let's call the weekly payment P. After one week, she will owe:

$180 - P

After two weeks, she will owe:

($180 - P) - P = $180 - 2P

After four weeks, she will owe:

($180 - 2P) - P - P = $180 - 4P

After six weeks, she will owe:

($180 - 4P) - P - P = $180 - 6P

And after eight weeks, she will owe:

($180 - 6P) - P - P = $180 - 8P

We can set up an equation using the information we have:

$180 - 8P = $108

Solving for P, we get:

P = $9

Therefore, Natalie will pay her parents $9 each week, and the initial amount she still owed was $180.

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The complete question:

Natalie borrowed money from her parents to pay for a trip. ​Natalie will ​pay her parents in equal amounts every week until she pays back the ​entire amount she borrowed. ​ ​The table below shows the amount of ​money Natalie still owes her parents at the end of every two weeks for ​the first eight weeks. How much does Natalie pay her parents each week? What is the initial amount Natalie still owes?

Week 0 = $180

Week 2 = $162

Weeks 4 = $144

Week 6 = $126

Week 8 = $108

The value of x and y for the given simultaneous equation using graph is obtained as: x = -2 and y = 4.

Solution of equation:

As the lines of both equation meets at (-2, 4), the are the solution for the equation which  gives the values of x and y.

Thus, the value of x and y for the given simultaneous equation using graph is obtained as: x = -2 and y = 4.

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Answer:

is it twelve ?

Step-by-step explanation:

:-|

Answer:

Assuming "she" in the question is a typo and it should be "if", here's the solution:

If the population of a small town is 567, and it decreases at a rate of 1.5% per year, we can find the population after 20 years using the formula:

P = 567 * (1 - 0.015)^20

where P is the population after 20 years.

Simplifying this expression, we get:

P = 567 * 0.742 = 420.414

Rounding this to the nearest whole number, we get:

P ≈ 420

Therefore, after 20 years, the population of the small town would be approximately 420.

James earned a $13 per hour rate and Alex earned a $12 per hour rate thus option (A) is correct.

The rate of change is the change of a quantity over 1 unit of another quantity.

Most of the time the rate of change is the change concerning time.

For example the speed 3meter/second.

As per the given number of hours and money earned table.

For James,

Rate of change or earned per hour = 26/2 = $13

For Alex,

Rate of change or earned per hour = 36/3 = $12

Hence "James earned a $13 per hour rate and Alex earned a $12 per hour rate".

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The function in the required form is  f(x) = 48*e^(0.0198*x)

From the question, we have the following parameters that can be used in our computation:

f(x) = 48(1.02)^x

The second form is given as

f(x) = a*[e^k]^x

This implies that (when compared)

e^k = 1.02

Take the natural logarithm in both sides:

ln(e^k) = ln(1.02)

So, we have

k*ln(e) = ln(1.02)

This gives

k = ln(1.02) = 0.0198

Hence, the exponential function is: f(x) = 48*e^(0.0198*x)

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Answer:

(9, 4).

Step-by-step explanation:

To find the corresponding point of the function f(x)+5 when (9,-1) is on the graph of f(x), we simply add 5 to the y-coordinate of the point.

If (9,-1) is on the graph of f(x), then the corresponding point on the graph of f(x)+5 would be (9, -1+5), which simplifies to (9, 4).

Therefore, the corresponding point of the function f(x)+5 is (9, 4).

Answer:

What is the question?

Step-by-step explanation:

g + 200 - (2 * 500) = 1200

g + 200 - 1000 = 1200

g = 1200 + 1000 - 200

g = 2200 - 200

g = 2000

Answer:

Like terms, functions may be combined by addition, subtraction, multiplication or division.

Example 1. Given f ( x ) = 2x + 1 and g ( x ) = x2

+ 2x – 1 find ( f + g ) ( x ) and

( f + g ) ( 2 )

Solution

Step 1. Find ( f + g ) ( x )

Since ( f + g ) ( x ) = f ( x ) + g ( x ) then;

( f + g ) ( x ) = ( 2x + 1 ) + (x2

+ 2x – 1 )

= 2x + 1 + x2

+ 2x – 1

= x

2

+ 4x

Step 2. Find ( f + g ) ( 2 )

To find the solution for ( f + g ) ( 2 ), evaluate the solution above for 2.

Since ( f + g ) ( x ) = x2

+ 4x then;

( f + g ) ( 2 ) = 22

+ 4(2)

= 4 + 8

= 12

Example 2. Given f ( x ) = 2x – 5 and g ( x ) = 1 – x find ( f – g ) ( x ) and ( f – g ) ( 2 ).

Solution

Step 1. Find ( f – g ) ( x ).

( f – g ) ( x ) = f ( x ) – g ( x )

= ( 2x – 5 ) – ( 1 – x )

= 2x – 5 – 1 + x

= 3x – 6

Step 2. Find ( f – g ) ( 2 ).

( f – g ) ( x ) = 3x – 6

( f – g ) ( 2 ) = 3 (2) – 6

= 6 – 6

= 0

Example 3. Given f ( x ) = x2

+ 1 and g ( x ) = x – 4 , find ( f g ) ( x ) and ( f g ) ( 3 ).

Solution

Step 1. Solve for ( f g ) ( x ).

Since ( f g ) ( x ) = f ( x ) * g ( x ) , then

= (x2

+ 1 ) ( x – 4 )

= x

3

– 4 x2

+ x – 4 .

Step 2. Find ( f g ) ( 3 ).

Since ( f g ) ( x ) = x3

– 4 x2

+ x – 4, then

( f g ) ( 3 ) = (3)3

– 4 (3)2

+ (3) – 4

= 27 – 36 + 3 – 4

= -10

Example 4. Given f ( x ) = x + 1 and g ( x ) = x – 1 , find ( x ) and ( 3 ). f

g

⎛ ⎞ ⎜

⎝ ⎠

f

g

⎛ ⎞ ⎜

⎝ ⎠ ⎟ ⎟

Solution

Step 1. Solve for ( x ). f

g

⎛

⎜

⎝ ⎠

⎞

⎟

Since ( x ) = , then ( )

( )

f x

g x

f

g

⎛

⎜

⎝ ⎠

⎞

⎟

= ; x ≠ 1 1

1

x

x

+

−

Step 2 Find . ( ) 3 f

g

⎛ ⎞ ⎜ ⎟ ⎝ ⎠

Since = , then 1

1

x

x

+

− ( ) f x

g

⎛ ⎞ ⎜ ⎟ ⎝ ⎠

=

3 1

3 1

+

− ( ) 3 f

g

⎛ ⎞ ⎜ ⎟ ⎝ ⎠

=

4

2

= 2

Step-by-step explanation:

did this Help?

Let's assume that Terrell attends x number of classes in a month. Then, the total cost of the first membership plan would be:

Cost of the first membership plan = $30 + $1 * x

Similarly, the total cost of the second membership plan would be:

Cost of the second membership plan = $15 + $4 * x

As per the problem statement, both membership plans cost the same when Terrell attends a certain number of classes in a month. So, we can equate the above two expressions and solve for x:

$30 + $1 * x = $15 + $4 * x

$2 * x = $15

x = 7.5

Since the number of classes cannot be a fraction, we can round up to the nearest integer, which is 8. Therefore, Terrell needs to attend 8 classes per month to make both membership plans cost the same.

To find the total amount, we can substitute x = 8 in either of the above expressions:

Total amount = $30 + $1 * 8 = $38

Therefore, Terrell needs to attend 8 classes per month, and the total amount would be $38.

Answer:

40 degrees.

Step-by-step explanation:

< 4 = < 1 = 40 degrees

( as they are vertical  ( opposite) angles)

( US = vertical, UK = opposite)

Answer:

m∠4 = 40°

Step-by-step explanation:

we notice that ∠1 and ∠4 are two Vertically opposite angles which means they are equal to each other then m∠4 = m∠1 = 40°

Answer:

30 ways

Step-by-step explanation:

Given the following :

Number of boys in school (n1) = 5

Number of girls in school (n2) = 3

Total number of team members to be selected = 4

Number of boys required in team(r1) = 2

Number of girls required in team(r2) = 2

How many different teams made up of two girls and two boys could be chosen?

= (2 boys from 5) * (2 girls from 3)

Using combination :

5C2 * 3C2

Recall :

nCr = n! ÷ (n-r)! r!

5C2 = 5! ÷ (5-2)! 2!

5C2 = 5! ÷ 3!2!

5C2 = (5*4) / 2 * 1 = 10ways

3C2 = 3! ÷ (3-2)! 2!

3C2 = 3! ÷ 1!2!

3C2 = (3) /  1 = 3ways

3C2 = 3/1 = 3ways

10 * 3 = 30 ways