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.)
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Formula of area of triangle by coordinates is:

area is:

Area of triangle is 12 sq. unit

Answer:

6.47

1.618 x 4 = 6.47

Step-by-step explanation:

Answer:

The length of golden rectangle is 6.5 cm.

Step-by-step explanation:

Definition of golden rectangle

The Golden Rectangle, also known as the perfect rectangle by some, is a rectangle with the Golden Ratio as its length to width ratio. Many people consider this to be one of the most visually appealing geometric shapes. Many works of art and architecture contain it.

Given the width of golden rectangle= 4 cm

and the golden ratio= 1.618

The golden ratio is the ratio of length and width \(l/b=1.618\)

\(l=1.618*b\\=1.618*4\\=6.472 cm\)

Now length of the rectangle is up to nearest tenth point=6.5 cm

Hence the length= 6.5 cm

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The solution of the expression, \(x^{\frac{9}{7} }\) is \(\sqrt[7]{x^{9} }\).

An expression is a combination of numbers, variables, functions such as addition, subtraction, multiplication or division etc.

Therefore, let's rewrite the expression to it's equivalent expression.

An equivalent expression is an expression that has the same value or worth as another expression, but does not look the same.

Therefore, using indices rule

\(x^{\frac{9}{7} }\) = \(\sqrt[7]{x^{9} }\)

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Answer:

wait who you again have we met before wait what

Step-by-step explanation:

I dont know you I dont help strangers oh yea can i get the 4 for 4 from wendys

Solution:

Rational numbers are numbers that can be represented as a ratio of two integers.

He would have saved $87,221.02  after 1 year

He would have saved $268,335.90   after 3  years

What is an ordinary annuity?

An ordinary annuity means a fixed amount invested at specific intervals, in this case, $7,185.51 is invested monthly, which means that its future value can be computed using the future value formula of an ordinary annuity as shown below:

FV=PMT*(1+r)^N-1/r

FV=future value of an ordinary annuity

PMT=monthly payment invested every month

r=monthly interest rate=annual interest/12

N=number of months that monthly payments were

FV after 1 year:

PMT=$7,185.51

r=monthly interest rate=2.5%/12=0.00208333333333333

N=number of months in 1 year=12

FV=$7,185.51*(1+0.00208333333333333)^12-1/0.00208333333333333

FV=$7,185.51*(1.00208333333333333)^12-1/0.00208333333333333

FV=$7,185.51*0.02528845698324970/0.00208333333333333

FV=$87,221.02

FV after 3  years:

PMT=$7,185.51

r=monthly interest rate=2.5%/12=0.00208333333333333

N=number of months in  3 years=36

FV=$7,185.51*(1+0.00208333333333333)^36-1/0.00208333333333333

FV=$268,335.90

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Answer:

3sqrt2

Step-by-step explanation:

b jhf vj fjvfd vmnd fmv ndkfv mndfvdf nkvvdf lkv nf khlfd hjvdf

Answer:

0 liters

Step-by-step explanation:

The first step in solving this problem is to find the volume of water that was originally in the tank when it was filled up to of its height. Since the tank is rectangular, we can use the formula for the volume of a rectangular prism:

Volume of tank = length x width x height = 100 cm x 80 cm x 30 cm = 240,000 cm³

Since the tank was filled up to of its height, the volume of water in the tank at this point is:

Volume of water in tank = 100 cm x 80 cm x 30 cm x 0.5 = 1,200,000 cm³

To find the amount of water that was poured into the tank to fill it up to 3 of its height, we need to subtract the volume of water that was originally in the tank from the total volume of water when it is 3 filled, which is 384 liters or 384,000 cm³ (since 1 liter = 1000 cm³):

Volume of water poured into tank = Volume of water when 3 filled - Volume of water in tank at of its height

= 384,000 cm³ - 1,200,000 cm³

= -816,000 cm³

Wait a minute, this result is negative, which means there was no water poured into the tank to reach the 3 filled level. In fact, it suggests that there was an excess of water that had to be removed from the tank to reach the desired level. This could be because the dimensions of the tank were not exact or because the tank was not level when filled to the first level.

Therefore, the answer to the problem is 0 liters or 0 cm³.

Note: It is important to always check the result of a calculation to ensure it makes sense in the context of the problem. In this case, the negative volume of water poured into the tank indicates that there may be an error in the problem statement or in the measurements provided.

1) the initial expression is:

So we have to find two numbers that added is equal to -11 and multiply equal to 30 so the expression can be writen as:

because

2) the initial expression is:

so we need two numbers that added are equal to 10 and multiply equal to 9 so:

because:

Answer:

8/12 and 10/12

Step-by-step explanation:

If the bottom changes the top changes also know as the numerator and denominator

Answer:

3/12=1/4

Step-by-step explanation:

2/3=8/12

5/12=5/12

8/12-5/12=3/12

Answer: h=14

Step-by-step explanation:

If x=-18, then

h=17+(-18)/6

h=17+(-3)

h=17-3

h=14

Answer:

Step-by-step explanation:

so, the calculation was :  h = 17 + \(\frac{-18}{6\\}\)

To subtract "\(\frac{-18}{6}\) " we need to make it the same denominator  as "17"

(it's not written but technically 17 = \(\frac{17}{1}\) )

Yet, we see that \(\frac{-18}{6} =\frac{-3* 6}{1*6}\)

We just need to remove both the 6 that are not useful here and :

\(\frac{-3*6}{1*6} =\frac{-3}{1}= -3\)

We obtain h = 17 - 3 = 14

hope it helped :)

The experimental probability that the next spin falls in a black region is given as follows:

0.205 = 20.5%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

205 out of the previous 1000 trials fell in the black region, hence the experimental probability is given as follows:

p = 205/1000

p = 0.205.

p = 20.5%.

The problem asks for the experimental probability that the next spin falls in a black region.

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Answer:

5 is the answer

Step-by-step explanation:

hope this helps

Answer:

Welcome to Gboard clipboard, any text that you copy will be saved here.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Tap on a clip to paste it in the text box.

the company will need 148121.4 cubic centimeters of steel to make 131 rods with a radius of 3 centimeters and a height of 40 centimeters.

How to find?

To calculate the amount of steel needed to make 131 rods, we need to first calculate the volume of one rod and then multiply it by 131.

The volume of one rod can be calculated using the formula for the volume of a cylinder:

V = πr²2h

where V is the volume, π is the value of pi (3.14), r is the radius, and h is the height.

Substituting the values given in the problem, we get:

V = 3.14 x (3cm)²2 x 40cm

V = 3.14 x 9cm²2 x 40cm

V = 1130.4 cm²3

So the volume of one rod is 1130.4 cubic centimeters.

To calculate the total amount of steel needed to make 131 rods, we can simply multiply the volume of one rod by 131:

Total volume = 1130.4 cm²3/rod x 131 rods

Total volume = 148121.4 cm²3

Therefore, the company will need 148121.4 cubic centimeters of steel to make 131 rods with a radius of 3 centimeters and a height of 40 centimeters.

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Answer:

x    y

0    -2

4    -1

graph: should look like the picture attached

explanation:

Answer:

K= 4

Step-by-step explanation:

Cross multiply

Answer:

k = 4

Step-by-step explanation:

To solve ANY proportion, you can cross multiply. For example, in this case, you can multiply 7 x 32 and k x 56. Remember, a proportion is always equal, so 7 x 32 = k x 56. That means 224 = 56k. Which means k = 4. Hope that helped!

Expressing the binomial coefficients in terms of factorials and simplifying algebraically. we have proved that  

\($\left(\begin{array}{l}n \\ r\end{array}\right) = \dfrac{n-r+1}{r} \cdot \left(\begin{array}{c}n \\ r-1\end{array}\right)\)

The binomial coefficient \(\left(\begin{array}{l}n \\ k\end{array}\right)\) is the number of ways of picking k unordered outcomes from n possibilities, also known as a combination or combinatorial number. The symbols \(_nC_k\) and \(\left(\begin{array}{l}n \\ k\end{array}\right)\) are used to denote a binomial coefficient, and are sometimes read as "n choose k."

\($$In general, $\left(\begin{array}{l}n \\ r\end{array}\right) \neq\left(\begin{array}{c}n \\ r-1\end{array}\right)$To solve (a), simply expand LHS.$$\left(\begin{array}{l}n \\r\end{array}\right)=\frac{n !}{r ! \cdot(n-r) !}=\frac{n !}{r \cdot(r-1) ! \cdot(n-r) !}$$Multiply numerator and denominator by $(n-r+1)$, then,$$\left(\begin{array}{l}n \\r\end{array}\right)=\frac{n-r+1}{r} \cdot \frac{n !}{(r-1) ! \cdot(n-r+1) !}=\frac{n-r+1}{r} \cdot\left(\begin{array}{c}n \\r-1\end{array}\right)$$\)

Thus, Expressing the binomial coefficients in terms of factorials and simplifying algebraically. we have proved that  

\($\left(\begin{array}{l}n \\ r\end{array}\right) = \dfrac{n-r+1}{r} \cdot \left(\begin{array}{c}n \\ r-1\end{array}\right)\)

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Full question:

Expressing the binomial coefficients in terms of factorials and simplifying algebraically, show that:

(a) \($\left(\begin{array}{l}n \\ r\end{array}\right) = \dfrac{n-r+1}{r} \cdot \left(\begin{array}{c}n \\ r-1\end{array}\right)\)

Using the cross product for the proff of Pythagoras theorem, the correct step is

By the cross product property, AB² =  BC multiplied by BD

The cross product property is typically used to solve equations with two values, where the product of the extremes (the outer terms) is equal to the product of the means (the inner terms).

For the similar triangles, the ratio is as follows

BD / BA = BA / BC

BA² = BD * BC

and AB = BA, hence

BA² = BD * BC

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Answer:

three

Step-by-step explanation:

stem. is the tens place and the leaf is the. ones place

so you want to find 68 so you look in the stem column and look for six

in the row there are 6 numbers which mean:

60, 61, 67, 68, 68, 68

as you can see there is three 68 there for the answer ths 3

Answer:

Step-by-step explanation:

Answer:

y = 15 , x = 6

Step-by-step explanation:

you can easily find y from first equation

Move y to the other side of the equation and reverse its sign

so (-11) changes to (+11) and now we have this equation

y = 15

now you must replace 15 instead of y in second equation ,then we have this equation

15 = 2x + 3

now we have to find x

move (+3) to other side of equation and reverse its sign

(+3) changes to (-3)

we have this equation now

15 - 3 = 2x

12 = 2x

x = 12 ÷ 2 = 6

a = 11.6

b = 21.6

c =

A=

B=

C= 90 ( right triangle )

For the missing side apply the Pythagorean theorem:

c^2 = a^2 + b^2

Where:

c = hypotenuse

a & b = the other 2 legs of the triangle:

c^2 = (11.6)^2 + (21.6)^2

c ^2 = 134.56 + 466.56

c^2 = 601.12

c =√601.12

c= 24.52

For the missing angles apply trigonometric functions:

Sin a = opposite side / hypotenuse

Sin A = 11.6 / 24.52

A = Arcsin (11.6/24.52)

A = 28.23 °

Sum of all interior angles of a triangle = 180°

A + B + C = 180

28.23 + B + 90 = 180

B = 180 - 90 -28.23

B= 61.77

Anwers

a = 11.6

b = 21.6

c = 24.52

A= 28.23

B= 61.77

C= 90

Answer:

2i

Step-by-step explanation:

the square root of -1 is \(i\) and since the square root of that is just two times that, the answer is \(2i\)

f(x) = x²

f(x - 3) translates f(x) 3 units to the right

f(x) - 5 translates f(x) 5 units down

Then, g(x) is:

g(x) = (x - 3)² - 5

g(x) = x² - 2*x*3 + 3² - 5

g(x) = x² - 6x + 9 - 5

g(x) = x² - 6x + 4