A full bathtub is emptying at a
fixed rate. Which of the following
equations may relates the amount
in water y, in gallons, with the
amount of time, x minutes. Assume
the bathtub is holding 100 liters
of water, and empties at a rate of
5.8 liters per minute.

Answer:

[tex]\int\limits^{6}_{-2} {f(x)} \, dx=6[/tex]

Step-by-step explanation:

Review the attached graph

By using geometry to evaluate the given integral, the value is equal to 6 units.

In order to use a geometry to evaluate a definite integral, you should identify the portion of a graph which corresponds to the given integral.

Also, you'll mark out the geometric shapes that are formed on the graph, so as to enable you calculate their areas. Finally, you'll add the areas together.

From the graph of the integral shown in the image attached below, the geometric shapes that are formed are rectangle and triangles.

For the area of rectangle, we have:

Area of rectangle = L × B

Area of rectangle = 2 × 2

Area of rectangle = 4 units.

For the area of triangle, we have:

Area of triangle = 1/2 × b × h

Area of triangle = 1/2 × 2 × 2

Area of triangle = 2 units.

Total area = 4 + 2

Total area = 6 units.

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D. 2 4/9

Note: the symbol on top of 4 - means that the number is recurring/repeating infinitely.

Answer:  (D) just did the unit test review on edge

Step-by-step explanation:

Answer:

(b)

Step-by-step explanation:

a=1,500,000

b=3,050,000

Receiving $50,000 initially and $100,000 per day for the next 30 days, would result in the greatest payday at the end of the first month of employment, with a total amount of $3,050,000

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

To determine which option would result in the greatest payday at the end of the first month of employment, let's calculate the total amount for each option:

a)

Lump sum of $1,500,000

The total amount is $1,500,000.

b)

$50,000 initially and $100,000 perday for the next 30 days

The total amount is $50,000 (initial) + $100,000/day * 30 days

T = $50,000 + $3,000,000

On simplifying the equation , we get

T = $3,050,000

Hence , receiving $50,000 initially and $100,000 per day for the next 30 days would result in greater payday

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Answer:

B

Step-by-step explanation:

I think its b but its 12,130 not 12,13 lol

Answer:3

Step-by-step explanation:

15 percent of 20 pounds is 17 subtract 17 from 20 equals 3

Answer:

23/24

Step-by-step explanation:

To find the total distance of Sunday and Saturday we add 5/8 + 1/3

= 5/8 + 1/3

= 5 × 3/8 × 3 + 1 × 8/3 × 8

= 15/24 + 8/24

= 15 + 8/ 24

= 23/24

Answer:

exact form: -16/3

decimal form: -5.3

mixed number form: -5 1/3

Step-by-step explanation:

solve for x by simplifying both sides of the equation, then isolating the variable.

3/4X + 2 = 3/8X

3/4X - 3/8X = - 2

(3/4 - 3/8)X = -2

((6-3)/8)X =-2

3/8X = -2

3X = (-2)(8)

3X = -16

X = -16/3

Answer:

You would use lbs.

Step-by-step explanation:

mm is a unit of distance.

Oz is too small of a unit for weight.

lbs are just right!

Answer:

The one-time security deposit is just 575, if you add it to the cost of renting the beach house, you then get y, which is the total cost of everything. haha, its logical.

so,

The one-time security deposit is just 575.

and

The cost of renting the beach house is 151x.

while

The total cost of the rental is y, i.e 151x + 575.

Answer:

Step-by-step explanation:

The answer is included in the question already

The cost of renting = security deposit + rental per day

So the answer is 575

Answer:

the fuel efficiencies of the first car was 15 while the second car was 35

Answer:

It would be neither.

Step-by-step explanation:

It definitely is not parallel since Line 1 would run into Line 2 at (4, 1). Nor could it be perpendicular because they do run into each other but do not make a 90 degree angle.

Answer:

j(x) matches #3

g(x) matches #2

f(x) matches #4

h(x) matches #1

Answer:

A

Step-by-step explanation:

Using the combinations formula, we get (6!)/(5! 1!)=6.

Solution:

the percent markdown of the iPad is 17.86%

Given:

Original Price = $700

Final price = $575

The markdown is gotten by;

[tex]Markdown=original~price-final~price[/tex]

[tex]Markdown=700-575[/tex]

Markdown = $125

Thus, the percent markdown is gotten by;

[tex]percent~markdown=\frac{markdown}{original~price}~x~ 100[/tex]

percent markdown = [tex]\frac{125}{700}[/tex] × 100%

percent markdown =[tex]\frac{12500}{700}[/tex]

percent markdown = 17.857 %

percent markdown  ≈ 17.86%

Therefore, the percent markdown of the iPad is 17.86%

Hope this helps!!

If you have any questions please ask.

Answer:

Two or more independent functions (say f(x) and g(x)) can be combined to generate a new function (say g(x)) using any of the following approach.

h(x) = f(x) + g(x)h(x)=f(x)+g(x) h(x) = f(x) - g(x)h(x)=f(x)−g(x)

h(x) = \frac{f(x)}{g(x)}h(x)=

g(x)

f(x)

h(x) = f(g(x))h(x)=f(g(x))

And many more.

The approach or formula to use depends on the question.

In this case, the combined function is:

f(x) = 75+ 10xf(x)=75+10x

The savings function is given as

s(x) = 85s(x)=85

The allowance function is given as:

a(x) = 10(x - 1)a(x)=10(x−1)

The new function that combined his savings and his allowances is calculated as:

f(x) = s(x) + a(x)f(x)=s(x)+a(x)

Substitute values for s(x) and a(x)

f(x) = 85 + 10(x - 1)f(x)=85+10(x−1)

Open bracket

f(x) = 85 + 10x - 10f(x)=85+10x−10

Collect like terms

mark as brainiest

f(x) = 85 - 10+ 10xf(x)=85−10+10x

f(x) = 75+ 10xf(x)=75+10x

Answer:

Step-by-step explanation:

The curve is maybe a bit easier to visualize if you write it as x = 4sin(y). The area is

∫[0,π/2] (4-x) dy

= ∫[0,π/2] (4-4sin(y)) dy = 2π-4

∫4-4sin(y) dy = 4y + 4cos(y)

This is a bit easier than using vertical strips, where the area is

∫[0,4] arcsin(x/4) dx

since integrating arcsin(x/4) involves integration by parts.

u = arcsin(x/4)

du = 1/√(16-x^2) dx

dv = dx

v = x

∫arcsin(x/4) dx

= x arcsin(x/4) - ∫x/√(16-x^2) dx

= x arcsin(x/4) + √(16-x^2)

Answer:

For question 13: 25%

Step-by-step explanation:

25 out of one hundred is one fourth

25 percent of 400 is one hundred

since 4 one hundreds go into 400

take one fourth and you get one hundred

500-400=100

so 25%

I dont know what the second question is asking

Answer:

b = 3

Step-by-step explanation:

(2,5) is information! x = 2 and y = 5.

Use these values in the equation:

y = x + b

5 = 2 + b

Subtract 2.

3 = b

The equation of the line is y = x + 3.

9514 1404 393

Answer:

  18050 square feet

Step-by-step explanation:

Let x represent the length of fence parallel to the creek. Then the remaining 380-x feet of fence is divided between the two ends of the pasture. The area will be the product ...

  A = (x)(1/2)(380 -x)

The graph of this is a parabola that opens downward. It has x-intercepts at x=0 and x=380. The vertex (maximum) will be on the line of symmetry, halfway between these zeros, at x = (0 +380)/2 = 190.

Then the area is ...

  A = (190 ft)(1/2)(380 -190 ft) = (190 ft²)/2 = 18,050 ft²

The maximum possible area of the pasture is 18,050 square feet.

Answer:

[tex]x \: intercept = ( \frac{5}{2} ,0) \\ y \: intercept = (0, \frac{5}{3} )[/tex]

Step-by-step explanation:

STEP 1: Define x and y intercepts

The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis.

Step 2: We plot the graph of the given function

The graph can be seen in the graph image I sent. The x and y intercepts are also identified.

Answer:

  9

Step-by-step explanation:

The product of the secant lengths BC and BD is equal to the square of the tangent length BA.

  BC×BD = BA²

  3×(3 +x) = 6²

  3 +x = 12 . . . . . divide by 3

  x = 9 . . . . . . subtract 3

_____

Additional comment

Sometimes the relationships involving secants, tangents, and chords can be difficult to remember. There is basically one rule that applies to all of these geometries:

  the product of segment lengths to the circle from the point of intersection of the secants/tangents/chords is the same

A tangent can be thought of as a secant that has a length of 0 between its end points. That is, the two lengths from the point of intersection to the circle are the same.

Here is an example of this rule applied to chords:

https://brainly.com/question/27160911

Answer:

14.28

Step-by-step explanation:

2% of 14 is .28

.28 + 14 = 14.28

Hi!

Since the price was decreased by 2%, that means that 14 is 98% (100% - 2%) of the original price. So, we just have to figure out 98% of what number is 14.

98% can be written in decimal form as 0.98.

We can set up the following equation:

14 = 0.98x

Now, divide both sides by 0.98:

14/0.98 = 14.2857143

The question says to round to the nearest penny, so your answer is

Answer:

B. (3x-12)+5/x

Step-by-step explanation:

Difference means - or minus

Three times a number x and 12= 3x-12

Increased= + or plus

quotient= / or divide

5 and the number x= 5/x

So the answer is,

(3x-12)+5/x

I hope you understand.

It will take them 20 minutes to do the job working together.

Given that Pete can do a job in 50 minutes while his brother Jim can do it in 1/2 the time, to determine how long it will take them to do the job working together, the following calculation must be performed:

Therefore, it will take them 20 minutes to do the job working together.

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Answer: 54 or 100 lol oozy

Step-by-step explanation: Nothing that's just the answer

Answer:

18% alcohol  17 ounces,      26% alcohol 17 ounces

Step-by-step explanation:

set some equation

18%x + 26%y = 34x22%

34= x + y

Answer:

If your question is set up like this [tex]\sqrt{6x^2-8}=-8x[/tex] then your answer is No solution.

If your question is set up like this[tex]\sqrt{6x^2}-8=-8x[/tex] then your answer is [tex]x=\frac{4(8-\sqrt{6}) }{29}[/tex] or x = 0.765

Hope this helps!

Answer:

D

Step-by-step explanation:

No explanation anymore I just don't want to anymore lol.