need help with trig homework!

Answer:

Approximately 3 grams left.

Step-by-step explanation:

We will utilize the standard form of an exponential function, given by:

[tex]f(t)=a(r)^t[/tex]

In the case of half-life, our rate r will be 1/2. This is because 1/2 or 50% will be left after t half-lives.

Our initial amount a is 185 grams.

So, by substitution, we have:

[tex]\displaystyle f(t)=185\big(\frac{1}{2}\big)^t[/tex]

Where f(t) denotes the amount of grams left after t half-lives.

We want to find the amount left after 6 half-lives. Therefore, t = 6. Then using our function, we acquire:

[tex]\displaystyle f(6)=185\big(\frac{1}{2}\big)^6[/tex]

Evaluate:

[tex]\displaystyle f(6)=185\big(\frac{1}{64}\big)\approx2.89\approx 3[/tex]

So, after six half-lives, there will be approximately 3 grams left.

Answer:

Inflation is caused by the increase in prices of goods, and as prices of goods rise, the value of money itself would decrease. By saving money in a savings account with interest that might be equal or more than the level of inflation, your money would increase, which protects you from the devaluation of the savings you hold and the rising prices of goods.

Answer:

(5-2a+6b)/2

Step-by-step explanation:

According to PEMDAS, we would multiply 2 by (a+3b) first. This would equal 2a+6b. Since this is being subtracted from 5, the numerator would equal 5-2a+6b. This would bring the simplified answer to (5-2a+6b)/2

Answer:

decimal: 0.32 percent: 32%

Step-by-step explanation:

Answer:

6√2

Step-by-step explanation:

According to the question

The equation is

Sin(45°)=6/x

√2/2=6/x

√2x=12

x=12/√2

x=12×√2/√2²

x=12×√2/2

x=6√2

Answer:

322.2069

Step-by-step explanation:

s0 pretty much 322

Answer:

mmmm.

Step-by-step explanation:

well it's been 6 minutes so I dont know how to help you here man. thank you for the points tho!!!

Answer:

It Is A.y-8=-5(x+2)

Step-by-step explanation:

Answer:

top left: 1/3

top right: 16

bottom left: 1/3

bottom right: 15

Step-by-step explanation:

Answer:

4 dozen is equal to 48

divide that by 4 which would equal 12 or one dozen

Answer:

12

Step-by-step explanation:

1 dozen is equal to 12, so 4 dozen is (12×4) is 48. 48 x 1/4 =12.

Simply: 1/4 of 4 dozen is 1 dozen

Answer:

i need a picture of the graphs

Step-by-step explanation:

Answer:

In triangle ABC and triangle CDA

AB=CD(given)

BC=DA(given)

AC=AC(common)

Thus triangle ABC and triangle CDA are congruent by SSS rule

Answer:

Step-by-step explanation:

Given:

Three congruent sides, two given and one shared

Side-side-side postulate SSS

Answer:

see explanation

Step-by-step explanation:

Given

f(x) = - [tex]\sqrt{x+11}[/tex] - 3 ← substitute x = - 7

f(- 7) = - [tex]\sqrt{-7+11}[/tex] - 3

       = - [tex]\sqrt{4}[/tex] - 3

       = - 2 - 3

       = - 5 ← output is real

Answer:

361/1000

Hope I helped

Answer:

179/495

Step-by-step explanation:

x = 0.3616161..........  ---------------(I)

Multiply by 1000

1000x = 361.616161......

Multiply (I) by 10

10x = 3.616161........

1000x = 361.6161......

   10x =      3.6161........   {Now subtract}

 990x=  358

        x = 358/990

x = 179/495

Answer:

1271.7in

Step-by-step explanation:

A complete rotation is = circumference of the wheel.

So calculate the circumference which is pi times diameter.

27 times pi (which is 3.14) = 84.78in   one rotation

so if you make 15 rotations, you are multiplying it by 15

15 x 84.78 = 1271.7in

[tex] - 6 \frac{1}{4} - ( - 2 \frac{1}{8} )[/tex]

[tex] = - 6 \frac{1}{4} + 2 \frac{1}{8} [/tex]

[tex] = \frac{ - 25}{4} + \frac{17}{8} [/tex]

[tex] = \frac{ - 50}{8} + \frac{17}{8} [/tex]

[tex] = \frac{ - 50 + 17}{8} [/tex]

[tex] = \frac{ - 33}{8} [/tex]

[tex] = - 4 \frac{1}{8} [/tex]

Answer:

I THINK Vertical ( I'm not positive) Goodluck

Answer:

B) Decreasing

It getting smaller every time

Answer:

[tex]=\frac{2x^3+x^2-11x+14}{\left(x+4\right)\left(x+2\right)\left(x-2\right)}[/tex]

Step-by-step explanation:

Step 1: Factor [tex]x² + 2x - 8: (x - 2) (x + 4)[/tex]

[tex]=\frac{x}{x+4}+\frac{x-1}{x+2}+\frac{3}{\left(x-2\right)\left(x+4\right)}[/tex]

Step 2: Find the Least Common Multiplier of  [tex]x + 4, x - 2, (x + 4), (x - 2)[/tex]

= [tex](x + 4) (x + 2) (x - 2)[/tex]

Step 3a: Conform the fractions based on the LCM (Least Common Multiplier)

= [tex]\frac{x\left(x+2\right)\left(x-2\right)}{\left(x+4\right)\left(x+2\right)\left(x-2\right)}+\frac{\left(x-1\right)\left(x+4\right)\left(x-2\right)}{\left(x+2\right)\left(x+4\right)\left(x-2\right)}+\frac{3\left(x+2\right)}{\left(x-2\right)\left(x+4\right)\left(x+2\right)}[/tex]

Step 3b: The denominators are equal, so combine the fractions.

[tex]=\frac{x\left(x+2\right)\left(x-2\right)+\left(x-1\right)\left(x+4\right)\left(x-2\right)+3\left(x+2\right)}{\left(x+4\right)\left(x+2\right)\left(x-2\right)}[/tex]

Step 4: Expand [tex]x(x + 2)(x - 2) +(x-1)(x+4)(x-2) + 3(x-2)[/tex]

[tex]=\frac{2x^3+x^2-11x+14}{\left(x+4\right)\left(x+2\right)\left(x-2\right)}[/tex]

Have a great day!

Answer:ok

Step-by-step explanation:

n   jjbjnujg6t6ugyg  ffvjnjg

Step-by-step explanation

knjjbvfghjk,mn cxsertyuj

Answer:

-x^2+9x-3

Step-by-step explanation:

The probability of grabbing a ball that is either a softball or not a basketball is 9/10, or 0.9 when expressed as a decimal.

The likelihood or chance of an event occurring is measured by probability. Usually, it is stated as a number between 0 and 1, where 0 denotes an event's impossibility and 1 denotes its certainty.

There are 10 balls in total, and 2 of them are basketballs. So the number of balls that are not basketballs is 10 - 2 = 8.

Of these 8 balls, we know that 1 is a softball. So the number of balls that are either a softball or not a basketball is 1 + 8 = 9.

Therefore, the probability of grabbing a ball that is either a softball or not a basketball is:

P(softball or not a basketball) = 9/10

So the probability of grabbing a ball that is either a softball or not a basketball is 9/10, or 0.9 when expressed as a decimal.

To know more about probability visit:

https://brainly.com/question/29221515

#SPJ1

Answer:

The foci of the given ellipse  = (0 ,-√5 ) and ( 0, √5 )

Step-by-step explanation:

Step(i):-

Given Ellipse   9 x² + 4 y² = 36

                     [tex]\frac{9x^{2} }{36} + \frac{4y^{2} }{36} =1[/tex]

               ⇒     [tex]\frac{x^{2} }{4} + \frac{y^{2} }{9} = 1[/tex]

Step(ii):-

  The Major axis lies on y-axis

   Foci of the Formula C² = a² -b² = 9-4 =5

                                 C = √5

The Foci is always lie on the major axis(longest) axis, spaced equally each side of the centre

Given ellipse of the foci is lie on Y- axis

Final answer:-

The foci of the given ellipse  = (0 ,-√5 ) and ( 0, √5 )

Answer:

it is a simultaneous equation.

the -9d can be cancelled to find the answer

The requried solution of the given system of equations is c = 8 and d = -7.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

here,
Given a system of equations,
6c-9d=111  - - - - - (1)
5c-9d=103 - - - - -(2)

Solving the above two equations,
by subtracting 2 from 1|
c = 111 - 103
c = 8

Now,
6(8) - 9d = 111
d = - [111 - 48] / 9
d = -63 / 9
d = -7

Thus, the requried solution of the given system of equations is c = 8 and d = -7.

Learn more about simultaneous equations here:

https://brainly.com/question/16763389

#SPJ2

Answer:

he equation of the line is parallel to the given line and passing through the point C( 1,4) is        x - 8 y + 31=0

slope intercept form

                     [tex]y = \frac{x}{8} + \frac{31}{8}[/tex]

Step-by-step explanation:

Explanation:-

Given equation of the line  

                                y = 1/8x-4

                               8 y = x - 32

                         x - 8 y -32=0

The equation of the line is parallel to the given line a x + b y + k=0

                                                                                   x - 8 y + k=0

This line is passing through the point ( 1,4)

             x - 8 y + k=0

             1 - 32 + k =0

                  k = 31

The equation of the line is parallel to the given line and passing through the point C( 1,4) is        x - 8 y + 31=0

slope intercept form

                         8 y = x + 31

                          [tex]y = \frac{x}{8} + \frac{31}{8}[/tex]

Answer:

Answer is C

Step-by-step explanation:

A scenario describing the inequality {d ≤ 16} is given below.

An inequality compares two or more numbers or expressions with one another. For example -

2x + 4y > 7

2x + 5y < 6

Given is that Ann writes the inequality d ≤ 16, where { d } equals the number of days.

A scenerio to represent this inequality is -

" Mike was not able pay the rent for the past 2 months. His landlord had asked him to pay the total rent within the 16 days."

Therefore, we can represent the given inequality as a scenario mentioned above.

To solve more questions on inequality, visit the link below

https://brainly.com/question/29194803

#SPJ2

Answer:

22

Step-by-step explanation:

12+(8/(2/3)-2

22

Answer:

22

Step-by-step explanation:

First divide 8 by 2/3 ( since it’s in parentheses) and that gives you 12. Then add 12 + the 12 that was in parentheses. That leaves you with 24-2 which equals 22.

Answer:

(40+ 19) – 38

Step-by-step explanation:

We need to find the expression for "thirty-eight less than the sum of forty and nineteen".

Sum of forty and nineteen = 40 + 19

38 less than the above is 40 + 19 - 38

Overall expression is :

(40 + 19) - 38

Hence, the correct option is (d) "(40+ 19) – 38".

Answer:

n = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

186 = 6(3n + 7)

Step 2: Solve for n

Step 3: Check

Plug in n into the original equation to verify it's a solution.

Here we see that 186 does indeed equal 186.

∴ n = 8 is the solution to the equation.

Answer:

144

Step-by-step explanation:

The sequence is:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946

so you can see the first term larger than 120 is the 144.

The first term in the sequence to exceed 120 will be 144.

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

The sequence is given below.

1, 1, 2, 3, 5, 8.

The sequence is given as,

aₙ = aₙ₋₁ + aₙ₋₂

The first and second terms are given as,

a₁ = 1 and a₂ = 1

Then the 7th term is given as,

a₇ = a₆ + a₅

a₇ = 5 + 8

a₇ = 13

Then the 8th term is given as,

a₈ = a₇ + a₆

a₈ = 13 + 8

a₈ = 21

Then the 12th term is given as,

a₁₂ = a₁₁ + a₁₀

a₁₂ = 89  + 55

a₁₂ = 144

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, and 144.

The first term in the sequence to exceed 120 will be 144.

More about the sequence link is given below.

https://brainly.com/question/21961097

#SPJ2