Two pools are leaking After 15 minutes pool A has leaked 2/3 gallon After 20 minutes pool B has 3/4 gallon Which pool is leaking faster

Pls fast

Answer:

[tex]g^{-1}(x)=\sqrt[3]{\frac{x-a}{41}}[/tex]

Step-by-step explanation:

The inverse of a function has [tex]x[/tex] and [tex]y[/tex] values switched from the original function. Therefore, simply switch [tex]x[/tex] and [tex]y[/tex] and isolate [tex]y[/tex] to get your inverse function:

Original function: [tex]g(x)=41x^3+a[/tex]

Switching [tex]x[/tex] and [tex]y[/tex], then isolating [tex]y[/tex]:

[tex]x=41y^3+a,\\x-a=41y^3,\\\frac{x-a}{41}=y^3,\\y=\sqrt[3]{\frac{x-a}{41}}[/tex].

Therefore, the inverse of the [tex]g(x)=41x^3+a[/tex] is:

[tex]\fbox{$g^{-1}(x)=\sqrt[3]{\frac{x-a}{41}}$}[/tex].

Answer:

3 1/3 FT 3

Step-by-step explanation:

im not sure if this right but i tried lol

Answer:

There is not enough info you need to add a picture of the box to measure it.

Answer:348

Step-by-step explanation:

For composite prisms, where the bases are a composite shape, the area of the bases is the sum of the areas of the parts it is made of. The volume of the composite prism is then given by multiplying the whole base area by the height of the prism.In math, volume is the amount of space in a certain 3D object. For instance, a fish tank has 3 feet in length, 1 foot in width and two feet in height. To find the volume, you multiply length times width times height, which is 3x1x2, which equals six. So the volume of the fish tank is 6 cubic feet.

Answer:

[tex] 1,205.8\: {ft}^{3} [/tex]

Step-by-step explanation:

Given object is made up of cylindrical and conical parts.

Fir cylindrical part:

r = 16/2 = 8 ft

h = 4 ft

For conical part:

r = 16/2 = 8 ft

h = 6 ft

Volume of the object = Volume of cylinderical part + Volume of the conical part

[tex] = \pi {r}^{2} h + \frac{1}{3} \pi {r}^{2} h \\ \\ =\pi \times {8}^{2} \times 4 + \frac{1}{3} \times \pi \times {8}^{2} \times 6 \\ \\ = 64\pi \times 4 + \frac{1}{ \cancel3} \times 64\pi \times \cancel6 \\ \\ = 64\pi(4 + 2) \\ \\ = 64\pi \times 6 \\ \\ = 384\pi \\ \\ = 384 \times 3.14 \\ \\ = 1,205.8 \: {ft}^{3} [/tex]

Answer:

Step-by-step explanation:

Glacier National park has the area in year 2007 = 142 acres

It's shrinking at a rate = 4.4% per year

a). Since, shrink in the size of the glacier is an exponential process,  

    Therefore, formula for the size of the glacier in 'n' years,

    A = 142(1 - 0.044)ⁿ

    A = 142(0.956)ⁿ

b). Difference between year 2007 and 2020 = 13 years

    By substituting n = 13 years in the formula,

    A = 142(0.956)¹³

        = 79.11 acres

    Therefore, size of the glacier in year 2020 = 79.11 acres

c). Difference between year 2007 and 2010 = 3 years

    By substituting n = 3 years in the formula,

    A = 142(0.956)³

    A = 124.07 acres

    Loss of the ice from the glacier = 142 - 124.07

                                                         = 17.93 acres

    Therefore, loss of the ice from the glacier in 3 years = 17.93 acres

Answer: I'm just answering so if only one person answers then u can give the other person brainliest.

Step-by-step explanation:    Also if nobody is answering u might want to repost this question

Answer:

153.86 yds. sq.

Hope this helps you!

Step-by-step explanation:

Answer:46

Step-by-step explanation:

Answer:step 3 Step-by-step explanation: because it is right and i took the test edge 2021

https://brainly.com/question/11874728 here is the answer! pls give brainliest

Answer:

Slope intercept form: The straight line equation is given by:

, .....[1] where m is the slope of the line.

(A)

Let x represents the number of hours and y represents the velocity of the runner.

As per the statement: After one hour, the velocity of the runner is 5 km/h. After three hours, the velocity of the runner is 3 km/h.

we have two points as (1, 5) and (3, 3)

Calculate first slope.

Formula for slope(m) is given by;

Then substitute the given values we get;

Now, substitute the value of m = -1 and (1, 5) in equation [1] we have;

Using distributive property:

Add both sides by 5 we get;

or

Therefore, an equation in two variables in the standard form that can be used to describe the velocity of the cyclist at different times is,

(B)

x            y = 6 -x

1             5

2            4

3            3

4            2

5            1

Now, plot these points on the graph for the first 5 hours  as shown below in the attachment.

Slope intercept form: The straight line equation is given by:

, .....[1] where m is the slope of the line.

(A)

Let x represents the number of hours and y represents the velocity of the runner.

As per the statement: After one hour, the velocity of the runner is 5 km/h. After three hours, the velocity of the runner is 3 km/h.

we have two points as (1, 5) and (3, 3)

Calculate first slope.

Formula for slope(m) is given by;

Then substitute the given values we get;

Now, substitute the value of m = -1 and (1, 5) in equation [1] we have;

Using distributive property:

Add both sides by 5 we get;

or

Therefore, an equation in two variables in the standard form that can be used to describe the velocity of the cyclist at different times is,

(B)

x            y = 6 -x

1             5

2            4

3            3

4            2

5            1

Now, plot these points on the graph for the first 5 hours  as shown below in the attachment.

Step-by-step explanation:

Answer:

0.1, 4/25, 35%, 36/100, 0.85, 2.6

Step-by-step explanation:

Hello!

[tex]\large\boxed{9 \%}[/tex]

To find the percent tax, use the equation:

[tex]\text{ \% tax} = \frac{\text{ price after - initial price}}{\text{initial price}}[/tex]

Substitute in the given values:

[tex]\text{ \% tax} = \frac{\text{ 21.80 - 20}}{\text{20}} \\\\\text{ \% tax} = \frac{1.80}{20} = 0.09[/tex]

Multiply by 100 to find the percent tax:

[tex]0.09 * 100 = 9\%[/tex]

Answer: Its 9%

Step-by-step explanation:

Answer:

7y-7x-2

Step-by-step explanation:

9y+3-4x-2y-3x-5

7y-7x-2

that a lot of points thx :)

you just add the numbers of the like terms togehter

Answer:

7y-2-7x

Step-by-step explanation:

Answer:

x  ≥  20

Step-by-step explanation:

hope this helps!

Answer:

x>= 20 or 20≤x

Step-by-step explanation:

Isolate x

Subtract 6 from both sides:

x/-5<=-4

Multiply both sides by -5, and switch the inequality sign bc u multiplied by a negative number:

x>= 20

Answer:

The last one: 5,300

Step-by-step explanation:

200/4=50

100/2=50

300/5=60 when it supposed to be 50 since the graphing is 50mph

Hope this helps

Answer:

the material when you get a chance can you send me the material

Answer:

x = 12

Step-by-step explanation:

[tex]90 + 3x + 16 + 2x + 14 = 180 [/tex]

[tex]5x + 120 = 180[/tex]

[tex]5x = 180 - 120[/tex]

[tex]5x = 60[/tex]

[tex]x = \frac{60}{5} = 12[/tex]

Answer:

x = 12°

Step-by-step explanation:

[tex](3x + 16) + 90 + (2x + 14) = 180 \\ 3x + 2x = 180 - 16 - 90 - 14 \\ 5x = 60 \\ x = \frac{60}{5} \\ x = 12[/tex]

Answer:

Its A

Step-by-step explanation:

y intercept equal 2 so it must intersect at 2 on the y axis and it must go down because its a negative function

Answer:

Step-by-step explanation:

In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 km/hour

Answer:

[tex]\large \boxed{\sf{4.83 \ dollars/battery}}[/tex]

Step-by-step explanation:

Unit rate is a ratio that compares two measurements.

Denominator is 1

[tex]\displaystyle \sf \frac{29\ dollars}{6\ batteries}=4.83\ dollars/battery[/tex]

The ordered pair is in the solution set of the system of inequalities shown in the graph will be (-2, -1)

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

The shaded portion will be conider as the dashed line joining points (-2, -2) and (3, 3).

Anf for the equation x - 1 > 0, x > 1

The shaded portion to the right of the dashed line joining points (1, 5) and (1, -3).

The portion affected by the two shadings would be the portion common to the right of the dashed line joining points (1, 5) and (1, -3) and under the dashed line joining points (-2, -2) and (3, 3).

The ordered pair is in the solution set of the system of inequalities shown in the graph will be (-2, -1)

Learn more about inequalities here:

https://brainly.com/question/27425770

#SPJ5

Answer:

(3,2)

Step-by-step explanation:

Right now point A is at the coordinates (3,2)

When you reflect the shape at line x = 3, point A is at the same x-axis, in which your supposed to reflect it on.

So when you reflect the shape, point A wont move, it will stay in the same colinear and coplanar plane which is (3,2)  

Hey there!

• A.

–5 + 7 – 2 = ?

–5 + 7 = 2

2 – 2 = 0

Answer: 0 ☑️

• B.

–4 * 3 = ?

“Guide”

• Negative & Negative = Positive

• Positive & Positive = Positive

• Negative & Positive = Negative

• Positive & Negative = Negative

• So, in this particular equation your answer will most likely have a NEGATIVE result because you have a NEGATIVE number & a POSITIVE number!

–4 * 3 = –12

Answer: –12 ☑️

• C.

3.5 + 4.5 = ?

5 + 5 = 10

• CARRY your 1

3 + 4 + 1 = ?

3 + 4 = 7

7 + 1 = ?

Answer: 8 ☑️

You basically had to do ORDER OF OPERATIONS / PEMDAS

(Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction)

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

43/13  or  1.0769 = 1

Step-by-step explanation:

Answer:

sdfshefvhwedsbdhcfbHISE

Step-by-step explanation:

FSDSd

Answer:

[tex]\mathbf{4 \lim \limits _{n \to \infty} \sum \limits ^n_{i=1} \Big ( \dfrac{n(n+4i)}{2n^3 +(n+4i)^3} \Big )}[/tex]

Step-by-step explanation:

Given integral:

[tex]\int ^5_1 \dfrac{x}{2+x^3} \ dx[/tex]

[tex]\mathbf{Using \ Riemann \ sums; \ we \ have: }[/tex]

[tex]\int ^b_a \ f(x) \ dx = \lim_{n \to \infty} \sum \limits ^n_{i =1} \ f( a + i \Delta x) \Delta x[/tex]

[tex]here; \ \Delta x = \dfrac{b-a}{n}[/tex]

∴

[tex]\int ^5_1 \dfrac{x}{2+x^3} \ dx = f(x) = \dfrac{x}{2+x^3}[/tex]

[tex]\implies \Delta x = \dfrac{5-1}{n} =\dfrac{4}{n}[/tex]

[tex]f(a + i \Delta x ) = f ( 1 + \dfrac{4i}{n})[/tex]

[tex]f( 1 + \dfrac{4i}{n}) = \dfrac{n^2 ( n+4i)}{2n^3 + (n + 4i)^3}[/tex]

[tex]\lim_{n \to \infty} \sum \limits ^n_{i=1} \ f(a + i \Delta x) \Delta x = \lim_{n \to \infty} \sum \limits ^n_{i=1} \Big ( \dfrac{n^2(n+4i)}{2n^3 +(n+4i)^3} \Big )\dfrac{4}{n}[/tex]

[tex]\mathbf{= 4 \lim \limits _{n \to \infty} \sum \limits ^n_{i=1} \Big ( \dfrac{n(n+4i)}{2n^3 +(n+4i)^3} \Big )}[/tex]

Answer:

Step-by-step explanation:

A. $154.20 * 0.65   = $100.23

B. $91.96 * 0.70 = $64.37

C. $47.60 * 0.75 = $35.70

D. $84.60 * 0.80 = $67.68

Answer:

use the app called msthway