The number of carbon atoms in a fossil is given by the function [tex]y = 5100(0.95)^{x}[/tex], where x represents the number of years since being discovered. What is the percent of change per year? Explain how you arrived at your answer.

Answer: 1/2

Step-by-step explanation: There is only heads and tails on a coin so if you flip it you have a 50 50 chance of it landing on tails because there are only two outcomes.

Answer:

lines tx and vs are perpendicular

Answer:

I think it is the 2 one don't blame me if I am wrong

Answer:

261.8 cm^3

Step-by-step explanation:

1) find the base area

base area = radius^2 x pi = 5^2 x pi = 25 x pi = 78,539816 cm^2

2) find the volume

V = (base area x height)/3 = (78.539816 x 10)/3 = 785.3/3 = 261.8 cm^3

Answer:

So the next time they will leave together is 4:24 pm

Step-by-step explanation:

Since both the buses left at 4 pm and red line bus leaves every 6minutes and blue line bus leaves every 8 minutes they next time they leave together can be found by taking the L.C. M of 6 and 8.

The L.C. M is found by multiplying all the factors and chosing one which common in both numbers.

Factors of 6 = 2*3

Factors of 8= 2*2*2

In these numbers 2 is common in both.The rest of the numbers( 2*2*3 )are multiplied with the the common 2 to get the L.C.M

L.C.M= 2*2*2*3= 24 minutes

So the next time they will leave together is 4:24 pm

Answer:

d) [tex](9*3/4)+y[/tex]

Step-by-step explanation:

b) [tex]9+y*(3/4)[/tex]

This expression is not equivalent, as the original expression, [tex]y+9*\frac{3}{4}[/tex] , has 9 multiplied to [tex]\frac{3}{4}[/tex] instead of y. You can interchange values like this when it comes to addition, but not multiplication.

c) [tex](y+9)(3/4)[/tex]

This expression is also not equivalent. After opening up the parentheses, it would again result in y being multiplied to [tex]\frac{3}{4}[/tex].

[tex](y+9)(3/4)\\= y(3/4)+9(3/4)[/tex]

d) [tex](9*3/4)+y[/tex]

This expression is equivalent, as 9 and [tex]\frac{3}{4}[/tex] are still being multiplied together and y is added to the product. We can actually rearrange this to look like the original expression:

[tex](9*3/4)+y\\=y+(9*3/4)\\=y+(9*\frac{3}{4} )\\=y+9*\frac{3}{4}[/tex]

I hope this helps!

Answer:

d, the number of degrees that the temperature was lowered by

Step-by-step explanation:

The dependent variable in this scenario would be d, the number of degrees that the temperature was lowered by. This is because the value of this variable depends on the actual amount of hours that have passed by. Therefore, depending on the number of hours, the value of d could be completely different. The variable h for the number of hours does not depend on any other variable in the equation and has its own value, but since d depends on h then it would be the dependent variable in this scenario.

Answer:

a) Opposite sides are congruent and all interior angles are right angles, hence the quadrilateral is a rectangle

b) Opposite sides are parallel and all sides are congruent, hence the quadrilateral is a rhombus

c) All sides are congruent and all interior angles are right angles, hence the quadrilateral is a square

d) m∠AEB = 90° as the diagonals are perpendicular to each other

e) m∠EAD = 90°/2 = 45° as the diagonals of a square are bisectors of the angles at the vertices

Answer:

3x + 1

Step-by-step explanation:

5x + 2 × 2 = 10x + 4

do this take 16x - 6

you get 6x + 2

then divide by 2 to get the answer 3x+1

Answer:

w = 3x - 5

Step-by-step explanation:

Perimeter of a rectangle formula:

P = 2(l + w)

16x - 6 = 2(5x + 2 + w)

16x - 6 = 10x + 4 + 2w

2w = 16x - 6 - 10x - 4

2w = 6x - 10

w = 3x - 5

Answer:

100

Step-by-step explanation:

Answer:

100 plz thank me later have a grate day love you all

Answer:

B

Step-by-step explanation:

The format for quadrant 2 would be (-,+) and answer choice be fits that because it is(-3,2)

Answer:

210

Step-by-step explanation:

whl

Answer:

y=(-7/2)x+3

Step-by-step explanation:

7x+2y-3=0

7x+2y=3

2y=-7x+3

y=(-7/2)x+3

Answer:

y = - [tex]\frac{7}{2}[/tex] x + [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

7x + 2y - 3 = 0 ( subtract 7x - 3 from both sides )

2y = - 7x + 3 ( divide each term by 2 )

y = - [tex]\frac{7}{2}[/tex] x + [tex]\frac{3}{2}[/tex] ← in slope- intercept form

Answer:

12-9 i think

Step-by-step explanation:

Because it says the difference if a number y and 9. If y equals 12 then shouldn't it be 12-9?

Answer:

No

Step-by-step explanation:

Only people in the lunch line got surveyed, that on it's own is biased.

Only 15 people out of the entire school.

Only the first people got surveyed.

Answer:

l x w x h

Step-by-step explanation:

volume is usually length x width x height

Answer:

Negative

Step-by-step explanation:

On the line, we see that a = 0.5 and b is after -1. a + b will be negative because anything after -1 added to .5 will be negative.

Example:

-1 + .5 = -.5

-2 + .5 = -1.5

-3 + .5 = -2.5

Answer: Negative

Step-by-step explanation: the b we can see is far away from  -1 that means its around - 2 and if we were to add 0.5 and - 2 we would get -1.5

Answer:

6 cm

Step-by-step explanation:

the cube has six faces, so each is 216/6 = 36 cm^2

so the side is [tex]\sqrt{36}[/tex]

Answer:

0.7

Step-by-step explanation:

Answer:

Step-by-step explanation:

1)

First we add what we know for y into the second equation.

5x - 4(x +2)= -3

From there, we simplify it

5x-4x-8= -3

x-8=-3

Now we get the x on its own

x=5

and now we add x=5 into the first equation that we had and simplify to find y

y=5+2

y=7

So the answer is x=5, y=7 or (5,7)

2)

For this one we do the same thing as with 1.

Add what we know for y (bottom equation) to the top equation

3x-8(x-8)=24

Now we simplify

3x-8x+64=24

-5x+64=24

And now solve for X

-5x=-40

x=8

And then substitute x=8 to find y

y=8=8

y=0

So the answer is x=8, y=0 or (8,0)

Answer: x=6

Step-by-step explanation:

Answer:

x = -6

Step-by-step explanation:

Subtract 3x from both sides to get -7=5x+23.

Subtract 23 from both sides to get -30=5x.

Divide 5 from both sides.

x = -6.

Answer:

Step-by-step explanation:

The nth term of arithmetic sequence is   [tex]a_n=a_1+d(n-1)[/tex]

So:

    [tex]a_{15}=a_1+d(15-1)\\\\53=-3+14d\\\\56=14d\\\\d=\dfrac{56}{14}=4[/tex]

The answer is: 15m + 20n

Hope this helped

Answer: 35

Step-by-step explanation:

Answer:

Add al of the numbers

Step-by-step explanation:

all you have to do is add all the numbers

Answer:

Step-by-step explanation:

16.76FT^3

Answer:

The y coordinates of B' is: 8

Step-by-step explanation:

Given

[tex]A = (-5,2)[/tex]

[tex]B =(1,2)[/tex]

[tex]C = (-4,1)[/tex]

[tex]D = (-5,-4)[/tex]

Translation of (x, y) → (x + 6, y – 10)  ---Missing from the question

Required

Determine the y coordinates of B'

We have:

(x, y) → (x + 6, y – 10)  

And

[tex]B =(1,2)[/tex]

So the translation from B to B' is:

[tex]B (1,2) \to B'(1+6,2-10)[/tex]

[tex]B (1,2) \to B'(7,-8)[/tex]

So, we have:

[tex]B' = (7,-8)[/tex]

The y coordinates of B' is: 8

Answer:

-2

Step-by-step explanation:

Answer:

The sample space is 29........

Answer:

12m + 24

Step-by-step explanation:

Using the distributive property, distribute 6 to the terms in the parentheses

6(2m + 4)

12m + 24

So, the equivalent expression is 12m + 24