80% of the 65 coffee mugs at Mike's Pancake House are dirty. How many dirty coffee mugs are there at the pancake house?

Answer:

Step-by-step explanation:

2AB² + 2B - A³

The domain of f is the set of all real numbers f(x,y) as (x,y) varies throughout the domain D with three variables.

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The functions of a point (or vector) in R2 or R3 that have real values will now be looked at. These functions will typically be defined on sets of points in R2, but there will be occasions when we utilise points in R3 and when it is more convenient to think of the points as vectors (or terminal points of vectors).

Each point f(x,y) in D is given a real number f(x,y) according to a real-valued function f defined on a subset D of R2. The domain of f is the set of all real numbers f(x,y) as (x,y) varies throughout the domain D, and the range of f is the greatest set D in R2 on which f is defined.

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Answer: 7x15−4y+30

Step-by-step explanation:

30+7x15−4y  

= 30+7x15+−4y

= 7x15−4y+30

We can use a diagram to show the backyard:

The length of the diagonal can be gotten using the Pythagorean Theorem given to be:

where c is the length of the hypotenuse and a and b are the other two sides.

Therefore, we can calculate the length of the hypotenuse to be:

The length of the chicken wire fence will be 51 m.

Answer:

9.28 liters

Step-by-step explanation:

The unit rate is 1.6 liters per hour.

You multiply it by the number of hours

1.6 x 5.8 = 9.28

Answer:

9.28.

Step-by-step explanation:

We're trying to find out how much gas Luis uses in 5.8 hours. It states that Luis uses 1.6 liters of gasoline EACH HOUR. So, we just multiply 1.6 and 5.8.

Answer:

x = 35

Step-by-step explanation:

The sum of the exterior angles of a polygon = 360°

Then

1 exterior angle = 360° ÷ 8 = 45° , so

x + 10 = 45 ( subtract 10 from both sides )

x = 35

The value of x for the octagon considering the value of the exterior angle is; x = 35°

The sum of the exterior angles of a regular polygon is 360°

Now, we are told that the measure of an exterior angle of a regular polygon is (x + 10)°. Thus;

For an octagon, we have;

8(x + 10)° = 360°

8x + 80 = 360

8x = 360 - 80

8x = 280

x = 280/8

x = 35°

Thus, the value of x for the interior angle is 35°.

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Answer

Sam is 13 years old

Step-by-step explanation:

He is 13 years old.

13+7=20

13-3=10

10x2=20

Answer: 13

Step-by-step explanation:

We can represent this in an algebra equation

(x+7)=2(x-3)

(x+7)=2x-6

(x+7)=2x-6

-2x    -2x

-x+7=-6

-7       -7

-x= -13

/-1    /-1

x=13

Answer:

I'm not sure but I think it's d)8

Answer:

10

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

-45 minus 35 is -80 so that's  80 units. and including zero it's 81 units

Step 1:

The equation in the slope intercept form is

y = mx + c

Step 2

Average rate is the slope m

m = 1.5 ft

Intercept c is the initial height

c = 4 ft

y is the height and x is the time in years.

Final answer

y = 1.5x + 4

Answer :y = 1.5x + 4

Step-by-step explanation:

Answer:

81,412,650

Step-by-step explanation:

im not sure if this is what ur asking for??

Answer:

Initial value: 40. Rate of change: 10

Step-by-step explanation:

You start out with 40 (Initial value) and you'd add 10 (Rate of change) to it everyday.

Answer:

15 + 7= 22

Step-by-step explanation:

Answer: 240,000= .6x and/or 400,000

Step-by-step explanation:

If 240,000 is 60% of our answer, we can write the equation as...

240,000= .6x

In order to find the answer, (I am unsure if you need it) we would divide both sides by .6.

This would leave us with 400,000.

Answer:

4.75 liters of punch

Step-by-step explanation:

2.8 + 0.75 = 3.55

3.55 + 1.2 = 4.75 liters of punch

Answer:

5

Step-by-step explanation:

You need to have have 17 take 2 away which makes it it 15 you need to say how many times does 3 go into 15 which is 5 so x=5

The solution of the linear equation 3x + 2 = 17 will be 5.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given below.

3x + 2 = 17

Simplify the equation, then the value of the variable 'x' is calculated as,

3x + 2 = 17

3x = 17 - 2

3x = 15

x = 15 / 3

x = 5

The solution of the linear equation 3x + 2 = 17 will be 5.

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The population size of mantis shrimp will be approximately 266 individuals after 5 years.

The intrinsic rate of increase is an essential concept in population biology. It is the rate at which a population is growing at a particular moment in time. The population size after a particular period can be calculated using the intrinsic rate of increase with the help of this formula:

Nt = N0e^(rt)

where Nt is the future population size, N0 is the initial population size, r is the intrinsic rate of increase, and t is the time in years.

The population size of mantis shrimp is 475 individuals and the intrinsic rate of increase is -0.10.

We can calculate the population size after 5 years using the above formula as follows:

Nt = N0e^(rt)

Nt = 475 * e^(-0.10 * 5)

Nt = 475 * e^(-0.50)

Nt ≈ 266

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Roy's younger brother's age is 11 years.

According to the question,

We have the following information:

If Roy is 4 years older than his brother and the product of their ages is 165.

Now, let's take the age of Roy's younger brother to be x years.

Age of Roy = 4+x

So, we have the following expression:

x(4+x) = 165

\(x^{2} +4x-165=0\)

Now, we will factorize this equation by splitting the middle term:

\(x^{2}\)+15x-11x-165 = 0

Now, taking x as a common factor from the first two terms and -11 as a common factor from the last two terms:

x(x+15)-11(x+15) = 0

Taking (x+15) as a common factor:

(x+15) (x-11) = 0

x+15 = 0 and x-11 = 0

x = -15 and x = 11

Now, we know that age can not be negative.

Hence, Roy's younger brother is 11 years old.  

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Answer:

B

Step-by-step explanation:

You can see that the only difference between the two graphs is that the red one is shifted up by 4 units. To accomplish this, simply add 4 to the parent function (which in this case is x²). Thus, the answer is just x²+4

Answer:

The best estimate for her earnings is $1200

Step-by-step explanation:

Number of time spent babysitting each week = 21 hours = BBS

Number of time spent dog walking each week = 9 hours = DW

She earns $7.50 per hour for dog walking,

She earns $(7.50+1.50) = $9 for baby sitting,

There are 4 1/2 weeks = 9/2 weeks in July,

Now, for each week she earns 21(9) = $189 from baby sitting

and 9(7.5) = $67.5 from dog walking,

So, for the month of July, i.e. 9/2 weeks, she earns,

9/2(189) = $ 850.5 from baby sitting,

and (9/2)(67.5) = $303.75 from dog walking,

In total for the month, she earns,

850.5 + 303.75 = $1154.25

Hence the best estimate for her earnings is $1200

Answer:

????

Step-by-step explanation:

The difference quotient of the function f(x) = 4x² - 5x is 8x + 4h - 5.

The formula for difference quotient is expressed as:

\(\frac{f(x+h)-f(x)}{h}\)

Given the function in the question:

f(x) = 4x² - 5x

To solve for the difference quotient, we evaluate the function at x = x+h:

First;

f(x + h) = 4(x + h)² - 5(x + h)

Simplifying, we gt:

f(x + h) = 4x² + 8hx + 4h² - 5x - 5h

f(x + h) = 4h² + 8hx + 4x² - 5h - 5x

Next, plug in the components into the difference quotient formula:

\(\frac{f(x+h)-f(x)}{h}\\\\\frac{(4h^2 + 8hx + 4x^2 - 5h - 5x - (4x^2 - 5x)}{h}\\\\Simplify\\\\\frac{(4h^2 + 8hx + 4x^2 - 5h - 5x - 4x^2 + 5x)}{h}\\\\\frac{(4h^2 + 8hx - 5h)}{h}\\\\\frac{h(4h + 8x - 5)}{h}\\\\8x + 4h -5\)

Therefore, the difference quotient is 8x + 4h - 5.

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The lateral surface area of the triangular prism is 72 square cm

From the question, we have the following parameters that can be used in our computation:

The figure of a triangular prism

Where we have

a = 3

b = 4

c = 5

h = 6

All in centimeters

The lateral surface area of the triangular prism is calculated as

Lateral surface area = (a + b + c) * h

Substitute the known values in the above equation, so, we have the following representation

Lateral surface area = (3 + 4 + 5) * 6

Evaluate

Lateral surface area = 72

Hence, the lateral surface area of the triangular prism is 72 square cm

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Answer:

12.65

Step-by-step explanation:

In the case of the blue triangle, to calculate the rise, which would be the increase, therefore it would be the hypotenuse formed by the arrow.

We have to Pythagoras is:

h ^ 2 = a ^ 2 + b ^ 2

In this case:

a (x-axis) = 4

b (y-axis) = 12

replacing:

h ^ 2 = 4 ^ 2 + 12 ^ 2

h ^ 2 = 160

h = 12.65

Which means that the rise in the blue triangle is 12.65 units

The graph that represents Ramon's initial step is, On a coordinate plane, the point (0, 3) is graphed.

The ordinate and abscissa of the x coordinate, along with two values specified in parentheses in a specific order, make up an ordered pair.

Pair in Order = (x, y) where x represents the abscissa, the measure of a point's separation from the main axis, and y represents the ordinate, the measure of a point's separation from the secondary axis.

Given, Ramon is graphing the function f(x) = 3 + (4)x.

We know the initial value of a function is determined when the independent variable is set to zero.

Here the independent variable is 'x'.

Now, at x = 0,

f(0) = 3 + (4)(0).

f(0) = 3.

So, The ordered pair is (0, 3).

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Answer:

a

Step-by-step explanation:

Answer:

\(\sqrt[6]{432}\)

Step-by-step explanation:

Answer:

10 > P ≥ 5

Step-by-step explanation:

inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions

sine the price can't be greater than or equal to 10$ we set it up 10 is greater than P ( 10 > P )

sine the lowest price ever was 5$ then we know P can't be any lower than 5$ but can still be 5$ so we set up as P is greater than or equal to 5 ( P ≥ 5 )

then to get your answer you just but the two comparisons together ( 10 > P ≥ 5 )

Answer:

The correct option is;

[2.5, ∞)

Step-by-step explanation:

The given exponential equation can be expressed as follows;

10,000 × 4ˣ ≥ 320,000

Therefore we have;

4ˣ ≥ 320,000/10,000

4ˣ ≥ 32

㏒(4ˣ) ≥ ㏒(32)

x·㏒4 ≥ ㏒(32)

x ≥ ㏒(32)/㏒4

∴ x ≥ 2.5

Therefore, the interval the colony will have at least 320,000 bacteria is where x ≥ 2.5 or 2.5 ≤ x < ∞ which gives, the interval  [2.5, ∞)

Answer:

[2.5, infinity) - A

Step-by-step explanation:

EDGE2020

Answer:

Lets say you have a scale of 2 actual feet is equal to 1 graph inch. And lets say you have a perimeter of 24 inches. You know that for every inch I have graphed, it's an actual 2 feet. So if you multiply those 24 inches by 2, then you will get 48. And you need to change the units to match the description, so I will need to change inches to feet. This will get me 48 feet of perimeter in real life.