. An aquarium contains 50 gallons of water. When the plug is pulled, water drains from the aquarium at a rate of 2 gallons per minute. How many gallons of water still remain in the aquarium after 8 minutes? ​

Answer:

Step-by-step explanation:

ngu dot

Answer:

9.744180189 cm

Step-by-step explanation:

1 liter = 1 dm³ (cube with 10cm side lengths) =

= 10×10×10 cm³ = 1000 cm³

the volume of a cylinder is

base area × height

and the base area is a circle

area = pi×r²

r (radius) is half the diameter.

so, we know

volume = 150000 cm³

r = diameter/2 = 70 cm

so, we have

150000 = pi×r² × height = pi×70² × height =

= pi×4900 × height

1500 = pi×49 × height

height = 1500 / (pi×49) = 9.744180189... cm

Answer:

You will have saved $69,612 after five years.

Step-by-step explanation:

This can be calculated using the for formula for calculating the future value of a growing annuity as follows:

FV = C * (((1 + r)^n - (1 + g)^n) / (r - g)) ……………………………………… (1)

Where;

FW = future value or amount you will have saved after five years = ?

C = first deposit = $1,000

r = periodic monthly interest rate of = 0.4%, or 0.004

g = growth rate of contribution = 0.1%, or 0.001

n = number of months = 5 years * 12 = 60

Substituting all the values into equation (1), we have:

FV = $1,000 * (((1 + 0.004)^60 - (1 + 0.001)^60) / (0.004 - 0.001))

FV = $1,000 * 69.612001854052

FV = $69,612.00

Therefore, you will have saved $69,612 after five years.

Answer:

x = 7 , − 14

Step-by-step explanation:

I believe this is correct.

Answer:

The answer is 4.

Step-by-step explanation:

Multiply 250 with 1.6%. 1.6% is also written as 0.016.

So pretty much you multiply 250 with 0.016 and you get 4.

Answer:

first option

imagine the line y = x as a mirror

Answer:

The answer is A. "the function h because the graphs of ƒ and h are symmetrical about the line y = x"

Answer:

for every x in the domain of f, f -1[f(x)] = x, and

for every x in the domain of f -1, f[f -1(x)] = x

Step-by-step explanation:

f(1) and f(-2) means to replace x in the equation with the number inside the parenthesis and then solve.

f(1) = (1)^2 -3(1) -f = 1 -3 -f = -2-f

f(-2) = (-2)^2 -3(-2) -f = 4 + 6 - f = 10-f

Answer:

16 inches

Step-by-step explanation:

32 divided by 2

Answer:

11. C

12. A

Step-by-step explanation:

11. (10 + x + 1)(x + 1) = (x + 5)² (secant-tangent rule)

(11 + x)(x + 1) = (x + 5)(x + 5)

11(x + 1) +x(x + 1) = x(x + 5) +5(x + 5)

11x + 11 + x² + x = x² + 5x + 5x + 25

Add like terms

x² + 12x + 11 = x² + 10x + 25

Collect like terms

x² - x² + 12x - 10x = -11 + 25

2x = 14

2x/2 = 14/2

x = 7

12. (x + 8)(8) = (15 + 9)(9) (secant-secant theorem)

8x + 64 = 216

Subtract 64 from each side

8x = 216 - 64

8x = 152

8x/8 = 152/8

x = 19

Answer:

225[tex]\pi[/tex]

or 706.86 rounded

Step-by-step explanation:

area of a circle is  [tex]\pi r^{2}[/tex](r=radius)

[tex]\pi r^{2}[/tex]

[tex]\pi 15^{2}[/tex]

[tex]\pi 225[/tex]

=225[tex]\pi[/tex]

Answer:

1/36

Step-by-step explanation:

you multiply 1/6 × 1/6

because the only way to get the sum of 2 is 1+1 and there is a 1/6th chance on both dice

Answer:

1/36

Step-by-step explanation:

got it right

Answer:

Tn=a(-3)^(n-1)

where a is first term and n is number of terms

Step-by-step explanation:

r=-3

Answer:

6.5 hours

Step-by-step explanation:

We can write a ratio to solve

360 miles      585 miles

---------------- = ------------

4 hours         x hours

Using cross products

360 * x = 4* 585

360 x = 2340

Divide each side by 360

x = 2340/360

x =6.5

Answer:

4 times

Step-by-step explanation:

First you take the number of times and divide them by the number of times he  attempted it. (2)/(8+2) or 1/5. Then you set up an inequality which would look like this. x/20=1/5 then you will cross multiply them to get this equation 5x=20. then you solve for x and you would get x=4. So you can expect him to hit four bullseyes in the next 20 attempts.

Answer:

13/3 = 4 1/3 which when rounded is 4hrs

As 4.3/4 = 1.075 = 1 unit and not 2

Step-by-step explanation:

13/3 = 4.33333333 and rounded down = 4 hrs

Answer:

37632

Step-by-step explanation:

An=A(1+12%)²

Answer:

90

Step-by-step explanation:

Answer:

P[You select a green poker chip] = 1/7

P[You select a white poker chip] = 1/7

Step-by-step explanation:

Given:

Number of chips beg contain = 7 chips

Number of red chips = 4 chips

Number of blue chips = 1 chips

Number of green chips = 1 chips

Number of white chips = 1 chips

Find:

Event A: You select a green poker chip  

Event B: You select a white poker chip

Computation:

P[You select a green poker chip] = Number of green chips / Number of chips beg contain

P[You select a green poker chip] = 1/7

P[You select a white poker chip] = Number of white chips / Number of chips beg contain

P[You select a white poker chip] = 1/7

Answer:

=76.5 cm

Step-by-step explanation:

Add up the lengths of the outsides

P= 15.6+ 13.6+13.6+17.6+16.1

P =76.5 cm

Answer:

profit is 256 dollars

Step-by-step explanation:

20% of 1,280 is 256 dollars

[tex]\sf\purple{10}[/tex] ✅

Step-by-step explanation:

[tex]35 \times \frac{2}{7} \\ = \frac{35 \times 2}{7} \\ = \frac{70}{7} \\ = 10[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

10

Step-by-step explanation:

see the image below:)

Answer:

B C and F

Step-by-step explanation:

Polygons are closed shaped with straight lines

D and E have curves therefore they cannot be classified as polygons

A is not closed therefore it A is not a polygon

B, C and F are closed and use only straight lines therefore those 3 are polygons

Answer:

Hello! answer: 104

Step-by-step explanation:

(base × height)

13 × 8 = 104 therefore the area is 104 hope that helps!

Answer:

104

Step-by-step explanation:

8*13

Given:

The expression is:

[tex]p^3\cdot p^2\cdot p[/tex]

To find:

The value of the given expression.

Solution:

We have,

[tex]p^3\cdot p^2\cdot p[/tex]

According to the product property of exponents,

[tex]a^m\cdot a^n=a^{m+n}[/tex]

Using the product property of exponents, we get

[tex]p^3\cdot p^2\cdot p=p^{3+2+1}[/tex]

[tex]p^3\cdot p^2\cdot p=p^{6}[/tex]

Therefore, the value of given expression is [tex]p^6[/tex].

Answer:

[tex]Horizontal -distance= cos\theta\\Vertical -distance= sin\theta\\P(cos\theta, sin\theta)[/tex]

Step-by-step explanation:

[tex]Horizontal -distance= cos\theta\\Vertical -distance= sin\theta\\P(cos\theta, sin\theta)[/tex]

The x-coordinate will be cosθ and the y-coordinate will be sinθ.

Polar coordinates are a two-dimensional coordinate system in which each point on a plane is determined by a distance from a fixed point called the pole and an angle from a fixed direction called the polar axis.

The distance from the pole is called the radial coordinate or radius, denoted by "r", and the angle is called the angular coordinate or polar angle, denoted by "θ".

Polar coordinates are often used in situations where the Cartesian coordinates (x, y) are not convenient, such as in polar graphs, 3D coordinate systems, and certain physics and engineering applications.

For the point P, the coordinates will be,

x-coordinate: cosθ

y-coordinate: sinθ

To know more about polar coordinates follow

https://brainly.com/question/22810698

#SPJ2

Answer:

V=[tex]27 cm^{3} \\[/tex]

Step-by-step explanation:

[tex]Area -of-triangle=\frac{1}{2} \times base\times height=0.5\times1.5\times 3=2.25cm^{2} \\Vol=Area\times height= 2.25\times 12=27 cm^{3} \\[/tex]

Answer:

Part A: 108

Part B: 24.

Step-by-step explanation:

Explanation: The formula for volume of a prism is V=Bh. (B is base area and H is height). The information doesn't provide base area so you need to find base area. The formula for base area is 1/2 x base side x height, so 1/2 x 1.5 x 12 = 9. (This is the formula for triangular prism.)  Now do the volume formula; 9 x 12 = 108. Now for part B: Divide the volume by the base area. 108 / 4 1/2 = 24. So the answer for A is 108 and for B it's 24. Check your answer: 4 1/2 x 24 = 108.

Sorry if it's wrong. Have a good day!

Answer:

13

Step-by-step explanation:

200-187=13

Answer:

C

Step-by-step explanation:

Hi there!

We're given a rectangle with one side marked as 16 and another marked as 12

We need to find the length of the diagonal

Rectangles have a property that makes the opposite sides congruent. Therefore, the side opposite to the side marked as 16 is also 16 and the side opposite to the side marked as 12 is also 12 because of that property.

Now let's look at the shapes cut by the diagonal; they are right triangles.

We only need to look at one of the triangles for this problem

The measures of 12 and 16 in the triangle are the legs (sides that make up the right angle) and the diagonal is the hypotenuse (the side that is opposite to the right angle).

You can absolutely solve for the diagonal/hypotenuse by doing Pythagorean theorem, but there's a shortcut:

3, 4, 5 is a common Pythagorean triple

(3²+4²=5²)

(9+16=25)

(25=25)

You may notice that dividing 12 and 16 by 4 are equal to 3 and 4 respectively

that means it's a 3, 4, 5 triangle, just by multiplied 4

So that means the hypotenuse has to be 5 * 4, which is equal to 20 inches

Therefore the answer is C

Hope this helps!

Answer:

Step-by-step explanation:

take 22 degree as reference angle

using cos rule

cos 22=adjacent/hypotenuse

0.92=56/x

x=56/0.92

x=60.86

x=60.9