4. Nick drained 2.8 gallons of water from a fish
tank. If the amount of water in the fish tank is
now less than 24.5 gallons, how many gallons
were in the tank before he drained the
water?
Inequality
Solution
PLEASE HELP PLEASE I WILL MARK BRAINLEST TO FASTEST ANSWER

Answer:

3*∑ (1/2)^n = 6

Step-by-step explanation:

We have the summation from n = 1 to n = ∞, for:

∑ 3/(2)^(n - 1)

We know that the summation between k = 0, and k = N - 1 for:

∑ r^k = (1 - r^N)/(1 - r)

if we have the summation between k = 0 and k = ∞ - 1 = ∞

(here we used that ∞ is really big, then ∞ - 1 = ∞)

In the numerator we will have the term r^∞, if 0 < r < 1, then r^∞ = 0.

Then if we assume that 0 < r < 1 we can write:

∑ r^k =  1/(1 - r)

In our case, we can rewrite our summation as:

3*∑ (1/2)^n

for n = 0 to  n = ∞

You can see that i changed the limits for n, this does not really matter because we are summing between a number and infinity, the only thing you need to take care is that now the power is n, instead of (n - 1)

Then we have r = (1/2) which is clearly smaller than 1.

then (1/2)

Then this summation is equal to:

3*∑ (1/2)^n = 3*( 1/(1 - 1/2)) = 3*( 1/( 2/2 - 1/2)) = 3*( 1/(1/2)) = 3*2 = 6

3*∑ (1/2)^n = 6

Given:

The graph of a trend line.

To find:

The equation of the trend line.

Solution:

From the given graph it is clear that the trend line passes through the points (0,4) and (9,7). So, the equation of the trend line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-4=\dfrac{7-4}{9-0}(x-0)[/tex]

[tex]y-4=\dfrac{3}{9}(x)[/tex]

[tex]y=\dfrac{1}{3}x+4[/tex]

Therefore, the equation of the trend line is [tex]y=\dfrac{1}{3}x+4[/tex].

Answer:

One triangle

Step-by-step explanation:

That's the answer....

Answer:

a or c Im not sure

Step-by-step explanation:

I think b though

The line which represents the speed as 10 feet per second is line B thus none of the given options are correct.

A graph is a diametrical representation of any function between the dependent and independent variables.

For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.

As per the given,

Loren is running at speed of 10 feet per second.

Speed = distance covered/time taken

10 = distance covered/time taken

In line B, the ratio of distance covered/time taken is 10.

Thus, line B will be correct.

Hence "The line which represents the speed as 10 feet per second is line B thus none of the given options are correct".

To learn more about graphs,

brainly.com/question/16608196

#SPJ5

Answer:

2d or 2 dimensional is the answer i think

Step-by-step explanation:

since area is measured for 2d shapes and surface area is just finding the area of each side separately and adding it together

Answer:

B 25.2

Step-by-step explanation:

AB = AC - BC

= 51.8 - 26.6 = 25.2

Answer:

2.67 x 10^3

Step-by-step explanation

The exponent is equal to how many numbers are after the decimal point. So, since there are 3 numbers after the decimal point, the exponent would be 3. Hope this helps :)

Answer:

There are 600 gumballs

Answer:

more than two

Step-by-step explanation:

she can make one triangle and flip the angles making it more than 2. she could also make many different varieties of triangles.

Answer:

The cost of one gallon of gas in Toronto, Canada is $3.458.

Solution:

Given, One gallon of gasoline in buffalo, New York costs $2.29.  

In Toronto, Canada, one liter of gas costs $0.91.  

There are 3.8 liters in one gallon.  

We have to find how much does one gallon of gas cost in Toronto?

Now, cost of one gallon of gas in Toronto = cost of one litre of gas in Toronto x 3.8 liters for 1 gallon.

Cost of one gallon of gas = 0.91 x 3.8 = 3.458

Hence, the cost of one gallon of gas in Toronto, Canada is $3.458.

dome7w and 28 more users found this answer helpful

Step-by-step explanation:

Answer:

B) -3 < -2

Step-by-step explanation:

The smaller the negative number, the more "positive" it is. Also, -2 is more than -3 because it is closer to 0.

Answer:

V = 405.04

Step-by-step explanation:

Volume of a cone:

V = πr²(h/3)

V = 3.14(6.1²)(10.4/3)

V = 3.14(37.21)(10.4/3)

V = 405.04

Answer:

false

Step-by-step explanation:

all parallelograms are not square

their opposite sides only equal

Answer:

M=0, b= 3 csc (20)

Step-by-step explanation:

Answer:

one solution (-4, -1)

Step-by-step explanation:

I hope this helps :)

Answer:

4,000

_______

*rate this answer and say thanks please!

Answer:

y = 4/5x

Step-by-step explanation:

Points on the graph: (5, 4) and (0, 0)

Slope:

m=(y2-y1)/(x2-x1)

m=(0-4)/(0-5)

m=(-4)/(-5)

m= 4/5

Slope-intercept:

y - y1 = m(x - x1)

y - 4 = 4/5(x - 5)

y - 4 = 4/5x - 4

y = 4/5x

Answer:

2sqrt3

Step-by-step explanation:

because it's a 60 30 right triangle. and you have to leave your answer in radical form.

Answer:

I got this answer right its 56

Step-by-step explanation:

I got this question right

Interpreting the Venn diagram given, the number of males with brown eyes or brown hair can be deduced to be 74

Number with brown eyes or brown hairs :

Brown eyes + Brown hairs + Both brown hairs and brown eyes

(34 + 22 + 18) = 74

Therefore, 74 males have brown eyes or brown hairs

Learn more : https://brainly.com/question/17225268

Answer:

20, i guess. im only middle school so im guessing it

Answer:

CD= 9

Step-by-step explanation:

AD and CD are the same length. The length of AD is 9. So the length of CD will also be 9. I hope that helps.

Answer:

independent= f

dependent= g

Answer:

i don't remember sorry o know thos was no help sorry

Answer:

t = 43

Step-by-step explanation:

t - 40 = 3

t = 43

Add 40 to both sides.

Answer:

−2(2n−w+8)

Step-by-step explanation: hoped I helped

Answer:

Factor

-2 out of -4n + 2w -16. -2 (2n - w + 8)

Step-by-step explanation: