Determined an equation for the pictured graph​

Answer: 6 × 4^x

Step-by-step explanation:

From the question, we are told that scientists released 6 rabbits into a new habitat in year 0 and that each year, there were four times as many rabbits as the year before.

The number of rabbits there after x years will be:

= 6 × 4^x

For example, let us say we want to calculate the number of rabbits after 2 years.

= 6 × 4^x

= 6 × 4²

= 6 × 16

= 96 rabbits

Answer:

I looked it up and it said 0.5

Understanding:

This can be easily solved by using the distance formula which is

[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }\\[/tex]

[tex]d:[/tex] distance

[tex](x_{1},y_{1}):[/tex] coordinates of the first point, in our case it is [tex](1,-5)[/tex]

[tex](x_{2},y_{2}):[/tex] coordinates of the second point, [tex](4,-1)[/tex]

Solution:

[tex]d=\sqrt{[(4)-(1)]^{2}+[(-1)-(-5)]^2}\\=\sqrt{(3)^2+(4)^2}\\= \sqrt{9+16} \\=\sqrt{25}\\= 5[/tex]

The distance between the two points is 5.

Answer:

12 hat/scarf outfits

Step-by-step explanation:

If a snowman has 3 old felt hats and 4 scarves from which to choose, how many different hat/scarf outfits can he wear?

We solve this question using the fundamental counting principle.

This states that:

When we have two events, a and bthe number of ways both events can happen is a × b

From the above question, our two events is

a = 3 old felt hats

b = 4 scarves

Hence, the different hat/scarf outfits can he wear is given as

3 × 4 = 12 hat/scarf outfits

Answer:

Step-by-step explanation:

Answer:

Where's the graph kid sir?

Step-by-step explanation:

Answer:

The y-intercept on a sloped line is where the line crosses the y-axis. Taking a look at your graph, Find a point where the line crosses the y-axis.

Answer:

Step-by-step explanation:

Part A.

Expression [tex](100)^{\frac{1}{2}}[/tex] = 10

Because 100 = [tex](10)^{2}[/tex] and [tex][(10)^2]^{\frac{1}{2}}=10^1=10[/tex]

[Since, [tex](a^{2})^{\frac{1}{2}}=a^{2\times \frac{1}{2}}=a^1[/tex]]

Part B.

When simplified, the answer is RATIONAL.

[Since, 10 can be written as [tex]\frac{10}{1}[/tex]]

Step-by-step explanation:

d=(3/4)-(1/4)=(5/4)-(3/4)=(7/4)-(5/4)=1/2

then it is an arithmetic sequence

by using this equation :

a(n) = a1 +(n-1)d

and we have : a1=(1/4),  d=(1/2)

So:

Explicit formula: a(n) = (1/4) +(n-1)*(1/2)

hope this helps

Answer:

Step-by-step explanation:

d=(3/4)-(1/4)=(5/4)-(3/4)=(7/4)-(5/4)=1/2

then it is an arithmetic sequence

by using this equation :

a(n) = a1 +(n-1)d

and we have: a1=(1/4),  d=(1/2)

So:

Explicit formula: a(n) = (1/4) +(n-1)*(1/2)

Answer: Rhombus

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

Explanation:

The tickmarks show that all four sides are the same length. Therefore, this figure is a rhombus. It is not a square because the angle would need to be 90 degrees. We can say it is a non-square rhombus, or a rhombus that isn't a square. It is also not a rectangle either because all rectangles have each angle at 90 degrees.

Answer:

C. 8

Step-by-step explanation:

f(5) =1/4(2)^5

because x=5

f(5)=1/4(32)

because 2^5 is 2*2*2*2*2=32

f(5)=8

because 1/4*32 or 32/4 is 8

Hope this helped :) I haven't even learned f(x) in school yet haha. I'm in 8th grade, but I took extracurriculars for math and I'm on the math team. Ergo, I know it's right!

Step-by-step explanation:

Dilation changes the size of the shape and is not a rigid motion.

Answer:

Dilation changes the size of the shape and is not a rigid motion.

explanation:

Hope it's answer you plz mark as Brainlist

Treat

The question confuses me but treat starts with t, is an adjective, and rhymes with sweet

Answer:

$75

Step-by-step explanation:

$15 divided by 0.2 = $75

0.2 = 20%

Answer:

both the second and third one

Answer: $68.80

Step-by-step explanation: the discount is 14% because it is subtracted from 20% and 0.14 x 80 is 68.80 hope this helps

When you catch up, the distance traveled is the same

Distance = rate x time

r = uncle's rate

30 min = 30/60 hr = uncle's time

25 min = 25/60 hr =  your time

Uncle's distance = Your distance

(r)(30/60) = (r + 10)(25/60)

(r)(1/2) = (r + 10)(5/12)

r/2 = 5r/12 + 50/12  

6r = 5r + 50

r = 50  

Uncle's rate = 50 mph

Your rate = 50 + 10 = 60 mph

Answer:

The answer is A. 48.7

Step-by-step explanation:

The approximate circumference of the circle is,

⇒ C = 48.7 cm

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

We have to given that;

A circle is shown in image.

And, Diameter of circle = 15.5 cm

Since, WE know that;

Circumference of circle is,

C = πd

Where, d is diameter of circle

Hence, The approximate circumference of the circle is,

⇒ C = 3.14 × 15.5

⇒ C = 48.7 cm

Thus, the circumference of the circle is,

⇒ C = 48.7 cm

Learn more about the circle visit:

https://brainly.com/question/24810873

#SPJ7

Answer: The answer is 1 and 2/3

Hope this helps you bye

Solution :

Given :

n = 200, p = 80% = 0.8, q = 1 - p = 0.2

[tex]$\mu = np$[/tex]

  [tex]$= 200 \times 0.8 = 160$[/tex]

[tex]$\sigma= \sqrt{npq}$[/tex]

[tex]$\sigma= \sqrt{200 \times 0.8 \times 0.2}$[/tex]

   = 5.6569

a). x = 169.5

∴ [tex]$z = \frac{x- \mu}{\sigma}$[/tex]

  [tex]$z = \frac{169.5- 160}{5.6569}$[/tex]

     = 1.6794

[tex]$P(x \geq 170) = P(z>1.6794) = 0.0465$[/tex]

Therefore, probability that the stolen goods were not recovered in 170 robberies or more is = 0.0465

b). x= 149.5

   [tex]$z = \frac{x- \mu}{\sigma}$[/tex]

   [tex]$z = \frac{149.5- 160}{5.6569} = -1.8561$[/tex]

[tex]$P(x \geq 150) = P(z>-1.8561) = 0.9683$[/tex]

Therefore the probability that the stolen goods were not recovered in the 150 or in more robberies is = 0.9683

Answer:

no solution

Step-by-step explanation:

x cancel out each other

Answer:

no solution

Step-by-step explanation:

9514 1404 393

Answer:

  x = -6 or 6

Step-by-step explanation:

The square root is always positive, so the equation simplifies to ...

  [tex]\sqrt{4x^2}-\sqrt{x^2}=6\\\\2|x|-|x|=6\\\\|x|=6\\\\x=\{-6,\ 6\}[/tex]

_____

The graph shows the solutions to f(x) = 0, where f(x) = √(4x²) -√(x²) -6.

Answer:

- 2 feets

Step-by-step explanation:

Given that sea star can be found at an ocean depth of 2 feets ;

An ocean depth of 2 feets can be represented as :

Sea level - depth = 0 - 2 = - 2 feets

Hence, it can be concluded that sea star lives in the ocean

Answer:

A. 136 stars

B. 340 stars

Answer:

At 10 pm he counted 136 stars and at 12 pm he counted 340

Step-by-step explanation:

for 10 pm:

68 x 2

for 12 pm:

68 x 5

Answer:

try -14!

Step-by-step explanation:

4x+188=6x+216

x=-14

Answer:

x = -14

Step-by-step explanation:

To start since the angles are congruent then they must be equal to each other, so we start by setting them equal to each other. The equation will be 4x + 188 = 6x + 216

Next we solve for x, subtracting 188 and 6x from each side. The new equation will be

-2x = 28

Then divide both sides by negative 2 to get x = -14.

Answer:

-2 + 6!

Step-by-step explanation:

Since the last two are negatives back to back, you change them to positive to make the problem easier! Anytime the last two signs are back to back negatives, you can do that, but never change the first sign!

I hope this helps!!

Answer: THE PINK ONE (-2+6)

Step-by-step explanation:  WE DID THIS IN MATH SO I KNOW. IT'S THE PINK ONE! (-2+6)

Answer:

8x^2  +  2x

Step-by-step explanation: