4) What type of sequence is shown: 1, 2, 4, 7, 10,...

Answer:

2998 ; 17%

Step-by-step explanation:

Given the function:

t(c)=-3970.9(ln c)

c = % of carbon remaining ; t = time

1.) c = 47% = 47/100 = 0.47

t(0.47) = - 3970.9(In 0.47)

t = - 3970.9 * −0.755022

t = 2998.119

t = 2998

B.)

t = 7000

t(c)=-3970.9(ln c)

7000 = - 3970.9(In c)

7000 / - 3970.9 = In c

−1.762824 = In c

c = exp(−1.762824)

c = 0.1715596

c = 0.1715596 * 100%

c = 17.156% ; c = 17%

Answer:  For plato family

The function t relates the age of a plant fossil, in years, to the percentage, c, of carbon-14 remaining in the fossil relative to when it was alive.

Use function t to complete the statements.

A fossil with 47%    of its carbon-14 remaining is approximately

years old.

A fossil that is 7,000 years old will have approximately

       17%     of its   carbon-14 remaining.

Step-by-step explanation:

 The  first  box is  2,998

  The  second  box is 17%

Answer:

[tex] \huge\boxed{\sin(75°) = \frac{x}{12}} [/tex]

sin(¢)=perpendicular/hypotenuse

A 12 foot ladder leans against a building at a 75 degree with the ground. Therefore ladder reaches approximately 11.59 feet up the side of the building.

Trigonometry, specifically the sine function, may determine how high the ladder is up the building. A right triangle's sine is the ratio of the opposing side's length to the hypotenuse. The ladder is the hypotenuse of the right triangle, and we want to find the ladder's height up the building's side.

Let's call the height h. The given information is that the ladder (hypotenuse) is 12 feet, and the angle between the ladder and the ground is 75 degrees.

Using the sine function:

sin(75 degrees) = opposite / hypotenuse

sin(75 degrees) = h / 12

Now, we can solve for h:

h = 12 × sin(75 degrees)

Using a calculator:

h = 12 × 0.96592582628 = 11.59 feet

So, the ladder reaches approximately 11.59 feet up the side of the building.

To know more about Trigonometry

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Answer: 4pi , second part is 5pi/2 + 4npi and third part is 7pi/2 + 4npi

Step-by-step explanation: Edge 2021

Answer:

[tex] b = \sqrt{2} [/tex]

Step-by-step explanation:

[tex] \cos \: 60 \degree = \frac{b}{2 \sqrt{2} } \\ \\ \frac{1}{2} = \frac{b}{2 \sqrt{2} } \\ \\b = \frac{2 \sqrt{2} }{2} \\ \\ b = \sqrt{2} [/tex]

Answer:

sqrt(2)

Step-by-step explanation:

Answer:

8/9 in squared

Step-by-step explanation:

because one block is 1/9, and there are 8

Answer:

171200 pennies

Step-by-step explanation:

Amount after 2 years = Principal + Interest

Given

Principal = £1600

Rate = 3.5%

Time = 2years

Get the interest

Interest = PRT/100

Interest = 1600*3.5*2/100

Interest = 32 * 3.5

Interest = £112

Get the amount after 2 years;

Recall that:

Amount after 2 years = Principal + Interest

Amount after 2 years = 1600 + 112

Amount after 2 years  = £1712

Hence the amount Dan will have after 2 years is £1712

1712 pounds = (1712 * 100)penny

1712 pounds = 171200 pennies

Answer: 23.36 and 46.67

Step-by-step explanation:

Number 1:

Number 2:

Answer:

3

Step-by-step explanation:

3×3=9+1=10

10/3×3=10

Given, a=-3

a) 2a= 2 × -3 = -6

b) a^2= (-3)^2= 9

c) 3a^2= 3 × (-3)^2 = 3 × 9 = 27

Hope it helps uh.

first you do multiply both the a because a is in square then a x a so (-3 x-3) =6 answer is 6

then next is c

3a sq OK

3a sq = (3x-3) -3 x-3

answer is 81

Answer:

[tex]m\angle XYV=135^{\circ}[/tex]

Step-by-step explanation:

Notice that [tex]m\angle XYV=m\angle XYW+m\angle VYW[/tex].

The diagram already marks [tex]m\angle VYW=80^{\circ}[/tex], so we just need to find [tex]m\angle XYW[/tex].

[tex]\angle TYU[/tex] and [tex]\angle XYW[/tex] are vertical angles, which means they are equal in measure.

Therefore,

[tex]m\angle TYU=m\angle XYW=6x+7[/tex]

Since there are [tex]180^{\circ}[/tex] on each side of a line, we have the following equation:

[tex]m\angle XYW+m\angle VYW+m\angle UYV=180^{\circ},\\6x+7+13+4x+80=180,\\10x+20=100,\\10x=80,\\x=8[/tex].

Plugging in [tex]x=8[/tex], we have:

[tex]m\angle XYW=6(8)+7=55^{\circ}[/tex].

Therefore,

[tex]m\angle XYV=55^{\circ}+80^{\circ},\\m\angle XYV=\fbox{$135^{\circ}$}[/tex].

Answer:

D)  [tex]sin(\frac{4\pi }{3} ) = sin(\pi +\frac{\pi }{3} ) = -sin\frac{\pi }{3}[/tex]

Step-by-step explanation:

A)

[tex]sin(\frac{2\pi }{3} ) = sin ( \pi - \frac{\pi }{3} ) = sin\frac{\pi }{3}[/tex]

B)

[tex]cos (\frac{\pi }{6} ) = cos ( \frac{\pi }{2} - \frac{\pi }{3} ) = sin(\frac{\pi }{3})[/tex]

C)

[tex]cos (\frac{11\pi }{6} ) = cos ( \frac{3\pi }{2} + \frac{\pi }{3} ) = sin(\frac{\pi }{3})[/tex]

D)

 [tex]sin(\frac{4\pi }{3} ) = sin(\pi +\frac{\pi }{3} ) = -sin\frac{\pi }{3}[/tex]

Answer:

[tex]m\angle1=75^{\circ}[/tex]

Step-by-step explanation:

Solution 1:

[tex]m\angle1[/tex] is formed by a point that is on the circle. The angle encompasses an arc of [tex]150^{\circ}[/tex] and thus the measure of the angle formed is [tex]\frac{150}{2}=\fbox{$75^{\circ}$}[/tex].

Solution 2:

Since [tex]\angle 1[/tex] is adjacent to a line and encompasses an arc, we can set up the following proportion:

[tex]\frac{150}{360}=\frac{m\angle 1}{180}[/tex]

Solving, we get [tex]m\angle 1=\fbox{$75^{\circ}$}[/tex].

Answer:

(x, y ) = ( - 3 , 14 )

Step-by-step explanation:

I hope this helps you. Best of luck.

0.75 pizza

Step-by-step explanation: 0.75 x 12 equals 8, that's basically it.

Answer:

0.666667

Step-by-step explanation:

8 pizzas ÷ 12 people = 0.66667 pizzas for each.

Answer:

b= 90 degrees

Step-by-step explanation:

opposite sides

Answer:

-3/4

Step-by-step explanation:

-1 1/4 = -5/4

1/2 = 2/4

-5 + 2 = -3

-3/4

Answer: The answer is -3/4

Step-by-step explanation: covert the mixed numbers to improper fractions, then find the LCD and combine.

Answer:

9-12 is -3

Step-by-step explanation:

Answer:

the answer is b i hope it helps

Answer:

tangent

Step-by-step explanation:

Hope this helps

Answer:

well whats the question?

Step-by-step explanation:

Answer:

ummm  you are going to do terrible on on your test jk

Step-by-step explanation:

Answer:

what are you supposed to do here?

Step-by-step explanation:

Answer:

If d is the height of the tree: d = 1/2m

Step-by-step explanation:

9514 1404 393

Answer:

  6/(6-3) = 2

Step-by-step explanation:

The expression is written as ...

  [tex]\boxed{\dfrac{6}{6-3}}[/tex]

It evaluates as ...

  [tex]\dfrac{6}{6-3}=\dfrac{6}{3}=\boxed{2}[/tex]