Please help :) 20 pts

Answer:

A) -2/5 gal/min

B) 25 minutes

C) 7.5 minutes

Step-by-step explanation:

A) We are told that the tank contains 12 gallons of water when Jada first sees it.

5 minutes later, it loses two gallons to become 10 gallons.

Thus, rate at which the amount of water in the tank changing = -2/5 gal/min

B) After 5 minutes it contains 10 gallons. Since it drains at 2/5 gal/min, let us say the time to finish draining all is x, thus;

2/5 • x = 10

x = 10 × 5/2

x = 25 minutes

C) When full, it can hold up to 15 gallons. This is 3 more than the 12 she saw when she arrived.

Thus;

2/5 • y = 3

y = 5 × 3/2

y = 7.5 minutes

Answer:

1/26

Step-by-step explanation:

This is a case of joint probability.  We find the two probabilities separately and then multiply the results together:

P(odd number on cube) = 3/6 = 1/2; P(7 from a deck)) = 13/52 = 1/13

Then the desired joint probability is (1/2)(1/13) = 1/26

Note that the two events here are entirely separate and independent.

Answer:

Mid point:

[tex] = ( \frac{3 + - 5}{2} , \: \frac{1 + 8}{2} ) \\ = ( - 1, \: 4.5)[/tex]

distance:

[tex] = \sqrt{ {( - 5 - 3)}^{2} + {(1 - 8)}^{2} } \\ = \sqrt{64 + 49} \\ = \sqrt{113} \\ = 10.6 \: units[/tex]

slope:

[tex] = \frac{1 - 8}{ - 5 - 3} \\ = \frac{ - 7}{ - 8} \\ = \frac{7}{8} [/tex]

what are the statements?

Answer:

,4 feet is the height of the tree

Answer:

Step-by-step explanation:

Answer:

118.0 in^3

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

r = 6 in

Step-by-step explanation:

[tex]V = \pi r^{2} \frac{h}{3}[/tex] = [tex]216\pi[/tex]

r²h/3 = 216

r² (18/3) = 6 r² = 216

r² = 216/6 = 36

r = 6

Answer:

The answer would be the first one, combining 8 and -2

Step-by-step explanation:

This is because the 2 like terms are 8x^2 and -2x^2. You can get this by looking in the problem. There are 2 terms with x^2 which means we have to combine them. One of them is 8x^2 (the 1st one) and the other is -2x^2 (since it says 7-2x^2)

If you combine these you will get 6x^2 [8+(-2)=6]

Answer:

the answer is A on edg

Step-by-step explanation:

good luck

Answer:

[tex] \frac{10}{5} = \frac{x}{5} \\ 5x = 50 \\ x = 10[/tex]

Answer:

x=5.8m after converting into 1 decimal place

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

20 / -1 = -20

Answer:

umm where is question?

Step-by-step explanation:

MARKMEASBRAINLISTPLS

Answer:

GH 5000

Step-by-step explanation:

Given data

Cost price=  GH 2000.00

Percent profit= 60%

Sales price =???

The sale price can be found  as

% profit= sale-cost/sale*100

60= sale-2000/sale*100

60= 100*sale-200000//sale

60*sale= 100sale-200000

1000sale-60sale= 200000

40sale= 200000

sale= 200000/40

sale= 5000

Hence the sales price = GH 5000

Answer:

x=7.6

Step-by-step explanation:

(x-2)= -14x+112

x= -14x + 114

15x= 114

15 15

x=7.6

Answer:

12x + 15y

Step-by-step explanation:

3 x 4x= 12x

3 x 5y = 15y

Answer:

The hypotenuse is (root) 84.25

Step-by-step explanation:

4.5^2 + 6^2 = x^2 (hypotenuse)

20.25 + 36 = 84.25

x^2 = 84.25

x = (root) 84.25 or 9.1787...

Answer:

12.56km

Step-by-step explanation:

Circumference of circle=2pi r

Set pi=3.14

2xpix2=12.56km

Answer:

a. 12 yd

Step-by-step explanation:

[tex] \sqrt{ {15}^{2} - {9}^{2} } = 12[/tex]

Answer:

D

Step-by-step explanation:

the center is (0,8)

(to solve this just flip the signs on the constants being added to x and y (there is an invisible constant of 0 being added to the x))

the radius is 7 (or √49)

Step-by-step explanation:

-5⅔×(-2⅚)

-17/3×(-17/6)

289/18

Answer:

see explanation

Step-by-step explanation:

The nth term ( explicit formula) of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 2 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{\frac{4}{3} }{-2}[/tex] = - [tex]\frac{2}{3}[/tex] , then

[tex]a_{n}[/tex] = - 2 [tex](-\frac{2}{3}) ^{n-1}[/tex] ← explicit formula

Answer:

Step-by-step explanation:

The formula for an explicit geometric formula (as opposed to a recursive one) is

[tex]a_n=a_1(r)^{n-1}[/tex] where a(n) is representative of the position of a number in the sequence, a(1) is the first number in the sequence, and r is the common ratio. The common ratio is the same number that must be either multiplied in or divided out to get to the next number in the term. Notice that the top numbers in our sequence are doubling which implies we are multiplying the top numbers by -2, and the bottom numbers are going up by multiples of 3. So our common ratio is -2/3. Try it and see:

[tex]-2(-\frac{2}{3})=\frac{4}{3}[/tex]  and

[tex]\frac{4}{3}(-\frac{2}{3})=-\frac{8}{9}[/tex] etc.

Therefore, the explicit geometric formula for this sequence is

[tex]a_n=-2(-\frac{2}{3})^{n-1[/tex]

You can use this formula to find any number in the sequence; for example, if you wanted to know the 100th number in this sequence, simply replace n with 100 and do the math. That's what an explicit formula is used for.

Answer:

the top x = surface water

the very bottom left x = nonporous rock

the one above it= ground water

the one to the right of that is =porOUS rock

water table last one on the right above them all (bottom right)

Step-by-step explanation:

Answer:

top one is surface water, lowest arrow is water table, second lowest arrow(the dark ground) is nonporous rock, third lowest arrow is groundwater, and the last one is porous rock

Step-by-step explanation:

i may be wrong but i think thats it

Answer:

Well 40.21/12.5=3.217 so it is about $3.22 per sqr ft.

Step-by-step explanation:

Answer:i think it would be 75 cents

Step-by-step explanation:

125 divided by 5 and you get 25, then you fo 25 times 3

Answer:

75 cents

Step-by-step explanation:

x= 5 kilometers

y= 3 cents

y/x= rate of change

3/5= 0.6

125 kilometers is the x variable so y= 0.6(125)

y= 75

Answer:

Is it a right triangle?

If it is, the angle you are looking for is 44 degrees

Step-by-step explanation:

Answer:

Option C: (4.47,-0.46)

Step-by-step explanation:

To convert Cartesian coordinates [tex](x,y)[/tex] into polar coordinates [tex](r,\theta)[/tex], use the following formulas:

[tex]r=\sqrt{x^{2}+y^{2} }[/tex]

[tex]\theta=tan^{-1}(\frac{y}{x})[/tex]

Therefore:

[tex]r=\sqrt{x^{2} +y^{2}}=\sqrt{4^2+(-2)^2}=\sqrt{16+4}=\sqrt{20}=4.47[/tex]

[tex]\theta=tan^{-1}(\frac{y}{x})=tan^{-1}(\frac{-2}{4})=tan^{-1}(-\frac{1}{2})=-0.46[/tex]

Because (4,-2) is located in Quadrant II, the angle must also be located in Quadrant II. Therefore, the correct polar coordinate would be (4.47,-0.46)

The polar coordinate would be (4.47, -0.46).

Although Cartesian coordinates can be utilized in three dimensions (x, y, and z), polar coordinates only identify two dimensions (r and θ). If a third axis, z (height), exists added to polar coordinates, the coordinate system exists directed to as cylindrical coordinates (r, θ, z).

Given:

Let the point be (4,-2).

To convert, cartesian coordinates (x, y) to polar coordinates (r, [tex]$\theta[/tex]),

[tex]$r &=\sqrt{x^{2}+y^{2}} \\[/tex]

[tex]$\theta &=\tan ^{-1} \frac{y}{x} \\$[/tex]

[tex]$ r &=\sqrt{4^{2}+(-2)^{2}} \\[/tex]

[tex]$&=\sqrt{16+4} $[/tex]

[tex]$&=\sqrt{20}[/tex]

= 4.47

[tex]$\theta &=\tan ^{-1} \frac{-2}{4} \\[/tex]

[tex]$&=\tan ^{-1} \frac{-1}{2}=-0.46 \\[/tex]

The polar coordinate would be (4.47,-0.46)

Therefore, the correct answer is option c. r = 4.47, [tex]$\theta[/tex] = -0.46

To learn more about cartesian coordinates and polar coordinates

https://brainly.com/question/18042894

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