The percent of 12th graders in a certain state who have ever used cigarettes for each of the years 2000 through 2014 can be modeled by p= -1.773t+60.442, where p is equal to the percent
and t is equal to number of years after 2000. When will the percent be less than 30 %?
The percent will be less than 30% after the year
(Round to the nearest year as needed.)
example Get more help -

Answer:

y = 3x - 7

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3, 2) and (x₂, y₂ ) = (1, - 4) ← 2 points on the line

m = [tex]\frac{-4-2}{1-3}[/tex] = [tex]\frac{-6}{-2}[/tex] = 3

the line crosses the y- axis at (0, - 7 ) ⇒ c = - 7

y = 3x - 7 ← equation of line

Answer:

  7 mph

Step-by-step explanation:

A boat whose speed in still water is 26 mph makes a trip upstream in 33 minutes and returns in 19 minutes. You want to know the speed of the current.

The travel time is inversely proportional to the speed, so we can write the proportion (using c for the current speed in mph) ...

  time upstream / time downstream = speed downstream / speed upstream

  33/19 = (26 +c)/(26 -c)

Multiplying by 19(26 -c) gives ...

  33(26 -c) = 19(26 +c)

  (33 -19)(26) = (33 +19)c . . . . add 33c -19(26)

  14(26)/(52) = c = 7

The speed of the current is 7 miles per hour.

The image of image of the point [tex](-7,-3)[/tex] after a rotation of [tex]180[/tex] degrees counterclockwise is [tex](7,3)[/tex]

According to the question statement, point [tex](-7,-3)[/tex] is rotated by [tex]180[/tex]  degrees counterclockwise, we are supposed to find out the image of the point after the rotation.

Point [tex](-7,-3)[/tex] lies in the Third quadrant of the Cartesian Plane.

When it will be rotated by [tex]180[/tex] degrees counterclockwise, it will shift to the first quadrant of the Cartesian Plane.

Therefore the coordinates will become as [tex](7,3)[/tex].

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Answer:2/3

Step-by-step explanation:

If a bedroom (14 ft by 12ft) and hallway (8ft by 3ft) are getting new wood flooring. Wood flooring is priced at $6.20 per square foot. The amount it will cost to add the wood flooring is: $1,190.40.

First step is to calculate the bedroom square feet

Bedroom square feet=14ft ×12ft

Bedroom square feet= 168 sq feet

Second step is to calculate hallway square feet

Hallway square feet=8ft × 3ft

Hallway square feet=24 sq feet

Third step is to calculate the total square feet

Total square feet=168+24

Total square feet=192

Fourth step is to calculate the cost

Cost=$6.20× 192

Cost= $1,190.40

Therefore the amount it will cost to add the wood flooring is: $1,190.40.

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The volume of the sphere when it is completely closed is 4508.58 cubic inches

The formula for calculating the volume of a sphere is expressed as:

V = 4/3πr³

where

r is the radius = 20.5/2

radius = 10.25 in

Substitute

V = 4/3 (3.14)*10.25³

V = 4/3(3.14)
V =4508.58 cubic inches

Hence the volume of the sphere when it is completely closed is 4508.58 cubic inches

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Answer:

The value of x = 2/5

Step-by-step explanation:

=>(5x - 2)²

=> (5x)² + 2² - 2(5x)(2)

=> 25x² -20x +4

=> 25x² -10x -10x +4

=> (5x-2) (5x-2)

=> x = 2/5 or 2/5

Rewriting (10 + 6) + 5+ 3 using the Associative Law of Addition will be 3+5+ (10+6).

It should be noted that the Associative Law of Addition explains that a + (b + c) is the same as (a + b) + c.

Therefore, Rewriting (10 + 6) + 5+ 3 using the Associative Law of Addition will be 3+5+ (10+6).

It should be noted that this will still give same value.

Therefore, the correct option is B.

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Answer:

1.002, -0.02

Step-by-step explanation:

Probabilities range between 0 and 1.

Answer:

If he needs 5 1/4 cups for 3 1/2 batches then he needs 1 1/2 cups for a single batch.

Answer:

27 minutes

Step-by-step explanation:

Hello!

500 and 900 are both multiples of 100, so let's first find the rate at which it takes Kofi to type 100 pages.

It takes 3 minutes to type 100 papers.

Since 900 is 9 times 100, we can also multiply the time by 9.

It takes 27 minutes to type 900 papers.

10.19 feet is the radius of a circle with a circumference of 64 feet.

A line that is bent such that its ends meet and all of its points are equally spaced from the middle. We gathered in a circle around the hearth. Something shaped like or like a circle.

Dimensional terms include circumference, diameter, radius, chord, segment, tangent, point of contact, arc, angles on major and minor arcs, angle of center, and sectors. A circle's circumference is the distance that surrounds it.

A curving line makes up the shape of a circle. It is spherical, and every point along the curved line is equally spaced from the center. Due to its two-dimensional nature, this shape is flat.

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Answer:

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

P = 2(l + w), where

Find the value of l:

Answer:

L = 89 cm

Step-by-step explanation:

Formula we use,

→ P = 2(L + W)

Then the value of its length is,

→ P = 2(L + W)

→ 324 = 2(L + 73)

→ 324 = 2L + 146

→ 2L = 324 - 146

→ L = 178/2

→ [ L = 89 cm ]

Hence, the length is 89 cm.

The 16th pentagonal number is 376

A function can be defined as an expression that explains the relationship between a dependent and an independent variable.

Given the function for the nth pentagonal number as;

Pn = n( 3n -1 )/ 2

To determine the 16th pentagonal number, we need to substitute the value of n as 16

We have;

P16 = 16(3(16) - 1)/ 2

P16 = 16( 48 - 1)/ 2

P16 = 16(47)/ 2

expand the bracket

P16 = 376

Thus, the 16th pentagonal number is 376

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1. 15/4 written as a decimal is 3.75

2. 5/6 written as a decimal is 0.83(repeating 3)

3. 11/3 written as a decimal is 3.6(repeating 6)

From the question, we are to write each fraction as a decimal

1. 15/4

  3.75

4)15.00

 -12  

    3.0

   -28  

       20

      -20  

          0

15/4 written as a decimal is 3.75

2. 5/6

  0.833

6)5.00

 -48  

    20

   -18  

       20

      -18  

          2

5/6 written as a decimal is 0.83(repeating 3)

3. 11/3

  3.66

3)11.00

 - 9  

    20

   -18  

      20

      -18  

         2

11/3 written as a decimal is 3.6(repeating 6)

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Answer:

17.75

Step-by-step explanation:

253.63 ×0.07=17.7541

Answer:

5

Step-by-step explanation:

f(2) = (2)^2 +2(2) - 3

f(2) = 4 + 4 - 3

f(2) = 8 - 3

f(2) = 5

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Answer:

2/15

Step-by-step explanation:

A percent is a number given out of 100

13 1/3% basically is 13 1/3 | 100

You divide and you get 40/3 x 1/100

Simplify by 20 = 40/300 simplify again and you get 2/15.

In linear equation , 8.65%  is the YTM .

What is a formula for linear equations?

Assuming face value to be $1000

Coupon = (0.09 * 1000) / 2 = 45

Number of periods = 8 * 2 = 16

Price = 102% of 1000 = 1020

YTM = 8.65%

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The sequence is an AP with a = 11 and d = - 4 , 6th term is - 9 and formula is a + ( n - 1 ) d .

First Term = 11

Second Term = 7

Third Te3rm = 3

Fourth Term = - 1

Fifth Term = - 5

a ) Sequence is 11 , 7 , 3 , - 1 , - 5

b ) a + ( n - 1 ) d

    11 + ( 6 - 1 ) ( - 4 )

     11 + 5 ( - 4 )

 11 - 20 = - 9

c )    a + ( n - 1 ) d

where a is the first term , n is the tem no . and d is the common difference of an AP .

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The value of R in the line segment is R = 1

The given parameters on the line segment are:

Because the point G is on the perpendicular bisector of DM, then it means that

DM = DG + GM

This means that

26 = R + 3 + 4R - 28

Collect the like terms

So, we have

4R + R = 3 + 28 - 26

Evaluate the like terms

So, we have

5R = 5

Divide both sides by 5

So, we have

R = 1

Hence, the value of R in the line segment is R = 1

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It seems to be reasonable so because survey data is unbiased.

An unbiased sample is one in which every individual or element in the population does have an equal chance of being chosen.

As, for the given question, the 720 human resource​ professionals survey is done considering each individual equal weight age for all.

A population proportion is also a unbiased estimate of a sample proportion.

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Answer:

See the picture below.

Step-by-step explanation:

Answer:

Step-by-step explanation:

-4p+-2= -6p
-6p+2= -4p
-4p+3= -1p

= -1p

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

Explanation:

Point B is at the location (x, y)

The x coordinates of A and B are 3 and x respectively. Add them up, divide in half, and set the result equal to the x coordinate of M which is 5

(3+x)/2 = 5

3+x = 2*5

3+x = 10

x = 10-3

x = 7 which is the x coordinate of point B

Repeat this same idea for the y coordinates.

(8+y)/2 = 6

8+y = 2*6

8+y = 12

y = 12-8

y = 4

Therefore, point B is located at (x,y) = (7, 4)

Visual verification is shown below. You could also use the midpoint formula on segment AB to find that M = (5,6) is the midpoint.

Based on the monthly installments and the amount that Belinda traded in the television for, the total simple interest paid was $6,600 and the rate of simple interest was 22%.

The balance after the trading in and deposit was:

= 20,000 - 3,000 - 2,000

= R15,000

The total simple interest paid was:

= (900 x 2 x 12months) - 15,000

= $6,600

The rate of simple interest was:

= (6,600 / 2 years) / 15,000

= 22%

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Answer:

0

Step-by-step explanation:

since a function maps only one member in the co-domain

The value of the expression is 0 without calculation.

We have to find the exact value of

sin 26° - cos 26°

From the trigonometric function we know that:

cos (90°-Ф) = sinФ and,

sin(90° -Ф) = cosФ

By this, we have an expression that,

=sin 26° - cos 64°

=sin 26° - cos (90° - 26)

=sin 26° - sin 26°

=0

Therefore the value of sin 26° - cos 64° =0.

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