The Function F(x) = 1(3)x Models The Number Of Virus Cells Present In A Sample After X Minutes. About (2024)

Carmen can determine the length of time she can afford to park her car in the airport parking lot by first deducting the entrance fixed charge from her N dollars and then dividing the balance by the hourly rate.

What are the mathematical operations?

The standard mathematical operations that combine numbers, variables, and operands to arrive at a defined output value are addition, subtraction, division, and multiplication.

In this situation, we can use the mathematical operations of subtraction and division to determine the length of time Carmen can park her car.

The fixed charge for entering the airport parking lot = $2

Hourly charger after the initial entrance = $3

The total amount of dollars possessed by Carmen = N dollars.

Let the length of time she can park there = l.

The maximum number of hours she can park is given by the function, F(l) = (N - 2)/3.

Thus, the best strategy for Carmen to determine her parking time at the airport parking lot based on her N dollars, the fixed entrance fee, and the variable cost per hour, is using the mathematical operations of subtraction and division.

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Answer:

600

Step-by-step explanation:

[tex]R(1)=400 \\ \\ R(2)=1000 \\ \\ R(2)-R(1)=600[/tex]

Explanation:

In this case we must compare 2 to 4 and 11 to 11/2

1. The first ratio given is 2 to 4

[tex]r_1=\frac{2}{4}=\frac{1}{2}[/tex]

So, the first ratio is 1/2

2. The second ratio given is 11 to 11/2

[tex]\begin{gathered} r_2=\frac{11}{\frac{11}{2}}=\frac{2\cdot11}{11} \\ r_2=2 \end{gathered}[/tex]

Finally, since r1 ≠ r2 they are not proportional

ANSWER:

they are not proportional

0.5 hours

Step-by-step explanation:

60 mph for 7 hours = 60×7= 420 miles

540-420=120 miles left

60mph÷120miles= 0.5 hours

By using the equation to find the slope, we will see that the value of a is -3.

How to find the value of a?

Here we have two points that define a line.

Remember that a linear equation is of the form:

y = m*x + b

Where m is the slope.

And we know that if the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope is:

m = (y₂ - y₁)/(x₂ - x₁)

In this case, we know that the points are:

(-10, 0) and (a, -6), and the slope is m = -6/7, then we can write the equation:

-6/7 = (-6 - 0)/(a + 10) = -6/(a + 10)

The denominator should be the same in both sides, so we must have:

a + 10 = 7

a = 7 - 10 = -3

Then the two points are (-10, 0) and (-3, -6).

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AS A MATTER OF FACT FOR THE DOMAIN WE CAN SEE IN THE EQUATION THAT THERE IS NO RESTRICTION OF X THAT CAN MAKE THE WHOLE EQUATION UNDEFINED

DOMAIN X CAN BE ALL REAL NUMBERS.

NO MATTER THE VALUE OF X YOU INSERT IT WILL ALWAYS TURN POSITIVE PLUS A POSTIVE TWO. MEANING THERE IS NO WAY THAT YOUR Y CAN BE EQUAL TO 0 OR A NEGATIVE NUMBER THE FUNCTION IS ALWAYSINCREASING FOR ANY VALUE OF Y.

RANGE: Y IS ALL THE REAL NUMBERS GREATER THAN 0.

To find the volume of the prism we just multiply all the measures

[tex]\begin{gathered} V=2\cdot3\cdot4 \\ \\ V=24\text{ cm}^3 \end{gathered}[/tex]

The volume is 24 cm³

If the sugar cubes have 1 cm³ of volume, to find how much sugar cubes fit in the box we must divide the volume of the box by the volume of the sugar cubes

[tex]\frac{V}{V_S}=\frac{24\text{ cm}^3}{1\text{ cm}^3}=24[/tex]

Therefore we can fit 24 sugar cubes

Using mathematical operations we can conclude that the cost per quart of yogurt is $1.29.

What are mathematical operations?An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands. The rules that specify the order in which we should solve an expression involving multiple operations are known as the order of operations. PEMDAS stands for Parentheses, Exponents, Multiplication, Division, and Addition Subtraction (from left to right).

So, the cost per quart:

The 4-pint carton of yogurt costs $5.16.Meaning that in the carton there are 4 quarts of yogurt.

Cost per quart:

= 5.16/4= $1.29

Therefore, using mathematical operations we can conclude that the cost per quart of yogurt is $1.29.

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The two numbers are 11, and 5 if the one number is six less than a second number.

What is the number?

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

It is given that:

One number is six less than a second number.

Let the number be x and y:

x - 6 = y

Twice the first is 2 more than 4 times a second.

2x = 2 + 4y

After solving the two linear equations:

2x = 2 + 4(x - 6)

2x = 2 + 4x - 24

2x = 22

x = 11

y = 5

Thus, the two numbers are 11, and 5 if the one number is six less than a second number.

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Answer:

use keywords together. So I think all you have to do is multiply or add them both together. Try multiplying or adding but I know that those are part of the answer.

Step-by-step explanation:

First, use a calculator to create a table of values for the function:

[tex]y=\tan (x)[/tex]

A table with inputs for x starting at -6.5 reaching the value of 6.5 with steps of 0.5 would be:

Plotting all the points and joining them with a smooth line, we can see that the graph of y=tan(x) is:

As we can see from the graph, the curve has an asymptote at

[tex]\frac{(2k+1)\pi}{2}+\pi k,k\in\Z[/tex]

On the other hand, the graph reaches all the real values over the Y-axis. Then, the range of the function is the set of all real numbers.

herefore, the domain is:

[tex]x\in\R-\lbrace\frac{2k+1}{2}\pi|k\in\Z\rbrace[/tex]

he range is:

[tex]y\in\R[/tex]

nd the asymptotes are:

[tex]x=\frac{2k+1}{2}\pi,k\in\Z[/tex]

Answer: Pentagon

Step-by-step explanation:

A closed figure with 5 straight line segments is called a pentagon. See attached for a visual example.

A segment is a straight line with two distinct endpoints.

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[tex]a)40\text{ \degree}[/tex]

Explanation

hen a line instersects a pair of paralle lines diverse angles are created

If you copy A of the corresponding angles and you translate it along the transversal, it will coincide with the other corresponding angle (B)

so angles A and B are called

Corresponding angles, those angles are congruents

[tex]m\measuredangle A=m\measuredangle B[/tex]

hence, if the lines in the problem are parellel, is must fit

[tex]m\measuredangle1=40\text{ \degree}[/tex]

therefore, the answer is

[tex]a)40\text{ \degree}[/tex]

I hope this helps you

[tex]\text{Volume=}12.41n^2inches^3[/tex]

Explanation

the volume of a cone is given by:

[tex]\text{Volume}=\frac{1}{3}\pi\cdot r^2\cdot h[/tex]

Step 1

find the radius:

let

Circumference= 6n inches

radius= r

[tex]\begin{gathered} \text{Circumference = 2 }\cdot\pi\cdot radius \\ \text{replace} \\ 6n\text{ inches=2}\cdot\pi\cdot\text{ r} \\ \text{divide both sides by 2}\pi \\ \frac{6n\text{ }}{2\pi}\text{=}\frac{\text{2}\cdot\pi\cdot\text{ r}}{2\pi} \\ so \\ r=\frac{6n\text{ }}{2\pi}=\frac{3n}{\pi} \\ r=\frac{3n}{\pi} \end{gathered}[/tex]

Step 2

apply the formula for the volume of the cone:

let

h=13 inhces

[tex]\begin{gathered} r=\frac{3n}{\pi} \\ h=13\text{ inches} \end{gathered}[/tex]

replace.

[tex]\begin{gathered} \text{Volume}=\frac{1}{3}\pi\cdot r^2\cdot h \\ \text{Volume}=\frac{1}{3}\pi\cdot(\frac{3\text{ n}}{\pi})^2\cdot13 \\ \text{Volume}=\frac{1}{3}\pi\frac{(9n^2)}{\pi^2}\cdot13 \\ \text{Volume}=\frac{3n^2}{\pi}\cdot13 \\ \text{Volume}=\frac{39n^2}{\pi}in^3 \end{gathered}[/tex]

so, the answer is

[tex]\begin{gathered} \text{Volume}=\frac{39n^2}{\pi}in^3 \\ \text{Volume}\approx\frac{39n^2}{\pi}in^3 \\ \text{Volume=}12.41n^2inches^3 \end{gathered}[/tex]

I hope this helps you

Answer:

Iiiieie I just got off your phone with weee

Step-by-step explanation: why did I get a hold for him or

oh yeah that’s fine I’ll let lol I was thinking of going out to the house for the next few weeks so I’m not good enough for that lol I think it’s so so to do that all day and you can get a hold on you for sure and I can help with your stuff and help me help help you get it

243.83

Step-by-step explanation:

Multiple: 38/

3

* 77/

4

= 38 · 77/

3 · 4

= 2926/

12

= 1463 · 2/

6 · 2

= 1463/

6

Answer:

[tex]243 \frac{5}{6}[/tex]

Step-by-step explanation:

Given multiplication:

[tex]12 \frac{2}{3} \times 19 \frac{1}{4}[/tex]

Convert the mixed numbers to improper fractions:

[tex]\implies \dfrac{12 \times 3+2}{3} \times \dfrac{19 \times 4+1}{4}[/tex]

[tex]\implies \dfrac{36+2}{3} \times \dfrac{76+1}{4}[/tex]

[tex]\implies \dfrac{38}{3} \times \dfrac{77}{4}[/tex]

[tex]\textsf{Apply the fraction rule} \quad \dfrac{a}{c}\times\dfrac{b}{d}=\dfrac{ab}{cd}:[/tex]

[tex]\implies \dfrac{38\times77}{3\times4}[/tex]

[tex]\implies \dfrac{2926}{12}[/tex]

Divide the numerator and denominator by 2:

[tex]\implies \dfrac{2926 \div 2}{12 \div 2}[/tex]

[tex]\implies \dfrac{1463}{6}[/tex]

Convert to a mixed number:

[tex]\implies 243 \frac{5}{6}[/tex]

Answer:

8 < L < 30

Step-by-step explanation:

The third side (L) can't be longer than or equal to the sum of the other two.

So. L < 30.

Also, it must be greater than 24-16 ie > 8

27)

Opposite angles are equal.

x° angle is the opposite angle of the 90° angle.

Therefore, x°=90°.

28)

The 90° angle marked in the figure and the y° angles forms a linear pair.

Hence, both angles are supplementary. Supplementary angles sum upto 180°.

Therefore, we can write

[tex]\begin{gathered} y\degree+90\degree=180\degree \\ y\degree=180\degree-90\degree \\ y\degree=90\degree \end{gathered}[/tex]

Therefore, y°=90°.

29)

In the figure, let z°+46°=p°.

From figure, we can see that the p° angle is the opposite angle of y° angle.

Since opposite angles are equal, we can write

[tex]\begin{gathered} p\degree=y\degree \\ z\degree+46\degree=y\degree \end{gathered}[/tex]

Since from part 28, y°=90°, we get

[tex]\begin{gathered} z\degree+46\degree=90\degree \\ z\degree=90\degree-46\degree \\ z\degree=44\degree \end{gathered}[/tex]

Therefore, zh=44e.

30)

From figure,

[tex]\begin{gathered} w\degree=y\degree+90\degree+z\degree \\ \end{gathered}[/tex]

Substitute the known values.

[tex]\begin{gathered} w\degree=90\degree+90\degree+44\degree \\ w\degree=224\degree \end{gathered}[/tex]

Therefore, w°=224°

The amount of calories in 246.5 gm of Cereal 397.5372 calories

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example,

Ram spends 36 Rs. for a dozen (12) bananas. 12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees. As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas. This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

In 177.4 gm of cereal contain 110 calories.

So, 1 gram cereal contain

= 177.4 / 110

= 1.6127

and, 246.5 gm will contain

=246.5 x 1.6127

= 397.5372 calories.

Hence, 397.5372 calories are in 246.5 grams of this cereal.

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The inverse of the function y equals x squared - 10x (y = x² - 10x) is 5 ±√(x + 25).

What is an inverse function?

An inverse function simply refers to a type of function that is obtained by reversing the mathematical operation in a given function (f(x)).

First of all, we would translate the given word sentence into a function as follows:

y equals x squared - 10x ⇒ y = x² - 10x

In order to determine the inverse of this function f(x) = x² - 10x, we would interchange both the input value (x) and output value (y) as follows:

y = x² - 10x

x = y² - 10y

Next, we would add (half the coefficient of the y-term)² to both sides of the function as follows:

x + (-10/2)² = y² - 10y + (-10/2)²

x + 25 = y² - 10y + 25

x + 25 = (y - 5)²

±√(x + 25) = y - 5

Adding 5 to both sides of the function, we have:

5 ±√(x + 25) = y - 5 + 5

y = f⁻¹(x) = 5 ±√(x + 25)

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In order to use two unit multipliers we will convert from square inches to cm using the following unit multiplier:

[tex]\frac{6.4516}{1^{}}\frac{cm^2}{in^2}\text{.}[/tex]

and then we will convert from square cm to square feet, using the following unit multiplier:

[tex]\frac{0.00107639}{1}\frac{ft^2}{cm^2}.[/tex]

Answer:

[tex]75in^2=75in^2(\frac{6.4516}{1^{}}\frac{cm^2}{in^2})(\frac{0.00107639}{1}\frac{ft^2}{cm^2})=0.520833ft^2.[/tex]

average change in price of silver per hour is $ 4 .

WHAT IS UNITARY METHOD ?

With the unitary method, you can solve issues by first calculating the value of a single unit, then multiplying that value by the quantity of units required.

CALCUATION

$14 price dropped in 3 and half hours i.e. in 3.5hrs

so in 1 hour price dropped will be = 14 / 3.5

= $ 4 per hour

therefore average drop rate of price of silver per hour is $ 4 .

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The circumference of circle is [tex]\pi[/tex]d

What is a circle ?

A circle is a two-dimensional object made up of points that are spaced out from a given point (center) on the plane by a fixed or constant distance (radius). The fixed point is referred to as the circle's origin or center, and the fixed distance between each point and the origin is referred to as the radius.

Given that : the circle with area =[tex]\frac{1}{4}\pi d^{2} cm^{2}[/tex]

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

[tex]\pi r^{2}[/tex]=[tex]\frac{1}{4}\pi d^{2} cm^{2}[/tex]

on comparing we get

r = [tex]\frac{d}{2}[/tex]

circumference of circle is 2[tex]\pi r[/tex]

= 2×[tex]\pi[/tex]×[tex]\frac{d}{2}[/tex]

=[tex]\pi[/tex]d

The circumference of circle is [tex]\pi[/tex]d

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Total deposited = $147600

Interest earned = $1362693.29

Total no. of years for saving = 65-36-24 = 41

years saving no. of months = 41 x12

= 492 Month

deposit for 1 month = $300 deposit for 492 month = 492 x $300

= $147600

Total deposited = $147600

Total saving after retirement = $1,510,293.29 interest = total saving - total deposit

= $1,510,293.29 - $147600

= $1362693.29

What is the Interest Rate ?

Interest is a periodically paid interest amount related to the amount borrowed, deposited or borrowed (the so-called capital amount). The total interest on the amount borrowed or borrowed depends on the principal amount, the interest rate, the frequency of the interest and the time of loan, deposit or borrowing.

Annual interest is interest for one year. Other interest rates apply to different periods of time, such as a month or a day, but are usually calculated annually.

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Answer:

20.99 m

Step-by-step explanation:

Answer:

(b) x=80, y=38, z=63

Step-by-step explanation:

You want to know the values of x, y, and z, given they are angle measures in a diagram showing two triangles.

Linear pair

The angles that form a linear pair are supplementary:

x° +100° = 180°

x = 80 . . . . . . . . . divide by °, subtract 100

Angle sum theorem

The angle sum theorem tells you that the sum of angles in a triangle is 180°.

y° +62° +80° = 180°

y = 38 . . . . . . . . . . . . divide by °, subtract 142

In the other triangle, the same relation holds:

z°+100° +17° = 180°

z = 63 . . . . . . . . . . . . divide by °, subtract 117

The values of x, y, and z are ...

(x, y, z) = (80, 38, 63)

The fountain in the city cycles 46.2 gallons of water in every hour if it cycles 69.3 gallons of water every 1.5 hours according to the model equation.

Unitary Method: What is it?

The unitary technique in actuality involves first determining the actual value of a single unit, alongside followed by the value of the necessary number of units.

The unitary approach is a kind of a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

Total mass = 69.3 gallons

Time taken = 1.5 hrs

For 1 hr = 69.3/1.5

= 46.2 gallons

What is an example of a unitary method?

A single or distinct unit is referred to by the word unitary. Therefore, the goal of this strategy is to establish values in reference to a single unit.

The unitary technique, for instance, can be used to calculate how many kilometers a car will go on one liter of gas if it travels 44 km on two liters of fuel.

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