The cost of parking a motor home in a state park includes a one time fee of $180, plus a daily rate of $55 per day. Anthony prepaid for his stay and paid the state park commission a fee of $565. This paid for the one time fee as well as for a number of days. How many days of parking did Anthony pay for? Group of answer choices

Using the rate of the exponential growth to calculate the exponential function, the number of subscribers after 10 years is 3446

An exponential function is a function in which the variable appears in an exponent. It is of the form f(x) = aˣ, where a is a constant and x is the independent variable. The graph of an exponential function is a curve that increases or decreases at an increasing rate.

To solve this problem, we have to find the rate and then calculate the number subscribers after 10 years.

In a given exponential function;

A = P(1 + x)ⁿ

Since this is an exponential growth, we can calculate the rate as;

1 year = 250 subscriber

2 years = 3 * 250

rate = (250 / 750) * 100

rate = 30%

We can substitute the values into the formula and solve

A = 250(1 + 0.3)¹⁰

A = 3446.46

They are expected to have 3446 subscribers after 10 years

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Answer:

Check the attached image below

Answer:

comparing rates.. use the formula  d = r * t    where d= distance , r = rate or speed  and t = time  ofc.  :)

Step-by-step explanation:

we know the distance  and the time but not the rate.. find that  r ....

d/t = r    4/30 = r    = 0.13333333333  this is in Km per minute,   b/c the 4 is Km and the 30  is in minutes.  Units are not to important other than keeping track of what they are.  

Now we can answer the question  can Marlene run 6 Km in 45 mins. b/c we know her rate , or speed,   so at her rate of 0.133333333  Km/min  and using that d = r * t formula  what is her distance in 45 minutes..  so  multiply 45 * 0.133333= 6     so she runs exactly 6 Km in 45 minutes.. so the math answer is yes

The distance between point C and the perpendicular bisector of AB is 2√3.

Given points A(9, 2), B(5,6), and C(-3,-2).

We need to find the distance between point C and the perpendicular bisector of AB.

We first need to find the midpoint of line segment AB using the midpoint formula:

Midpoint of AB

= [(x1 + x2)/2, (y1 + y2)/2]

= [(9+5)/2, (2+6)/2]

= [(14/2), (8/2)]

= (7, 4)

Now, we need to find the slope of the line AB:

Slope of AB= (y2 - y1) / (x2 - x1)

= (6-2) / (5-9)

= 4/-4

= -1

So, the slope of the perpendicular bisector to AB is 1 (negative reciprocal of -1).

Now we need to find the equation of the perpendicular bisector of AB, which passes through (7, 4) with a slope of 1.

Using point-slope form of the line: y - y1 = m(x - x1)y - 4

= 1(x - 7)y - 4

= x - 7y

= x - 3

Now we have the equation of the perpendicular bisector of AB.

Now we can find the distance between C and the line by finding the length of the perpendicular from C to the line.

To do this, we need to find the equation of the line that is perpendicular to the line we found, which passes through point C, and then find the point where the two lines intersect.

This new line has a slope of -1, since it is perpendicular to the line with slope 1.

Using point-slope form of the line:

y - y1 = m(x - x1)y - (-2)

= -1(x - (-3))y + 2

= -x - 3y

= -x - 5

Now we have the equation of the new line.

Now we can find the point of intersection of the two lines:

y = x - 3y

= -x - 5

Adding the two equations:

2y = -8y

= -4

The point of intersection is (-4, -4).

Now we can find the distance between C and (-4, -4) using the distance formula:

Distance between C and (-4, -4) = √(x2 - x1)2 + (y2 - y1)2

= √((-3 - (-4))2 + (-2 - (-4))2)

= √(12)

= 2√3

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Answer:

c=8 to the nearest cm

Step-by-step explanation:

c²=a²+b²

where c=Hypotenuse,b=Opposite,a=Adjacent

c²=2.8²+7.7²

c²=7.84+59.29

c²=63.17

c=√63.17

c=7.9

c=8 to the nearest cm

Solution:

The equations are given below as

Step 1:

Make x the subject of the formula from equation (1)

Step 2:

Substitute equation (4) in equations (2) and (3)

Step 3:

Substract equation 5 from 6

Step 4:

Substitute the value of z=3 in equation (4)

Step 4:

Substitute y=-3, z= 3 in equation (4)

Hence,

The final answer is

ONLY THE ORDERED PAIR ( 1, -3, 3) satisfies the system of linear equations

OPTION B is the right answer

To calculate the surface area of a rectangular prism, we need to find the area of each of its six faces and then add them up. In this case, the dimensions of the shape are:

Refer to the attachment below.

There are three pairs of faces on a rectangular prism:

8 cm × 3 cm = 24 cm²

Since there are two of these faces, the total area is:

2 × 24 = 48 cm²

8 cm × 6 cm = 48 cm²

Since there are two of these faces, the total area is:

2 × 48 = 96 cm²

3 cm × 6 cm = 18 cm²

Since there are two of these faces, the total area is:

2 × 18 = 36 cm²

Now, add up the areas of all six faces:

Surface Area = 48 + 96 + 36 = 180 cm²

So, the surface area of the rectangular prism is 180 cm².

________________________________________________________

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Answer:

Step-by-step explanation:

                   y=mx+b

Answer:

(-3,-1.5)

Step-by-step explanation:

The two points are: (-2,1) & (-4,-4)

\(x = \frac{ - 2 - 4}{2} = - 3 \\ \\ y = \frac{1 - 4}{2 } = - \frac{3}{2} = - 1.5\)

The exact value of the volume of the object we obtain when rotating R about the x -axis is 128π.

In a two-dimensional region bounded by the curves of two functions y=f(x) and z=g(x), such that the limits of the x-coordinate is a≤x≤b.

If the given region is rotated around the -axis, then the solid formed by this rotation has volume that is given by the following integral formula:

\(V=\pi \int\limits^b_a {(f(x)^2-g(x)^2)} \, dx\)

Now from given information, let consider f(x)=x

g(x)=x+4

\(V=\pi \int\limits^4_0 {(x^2-(x+4)^2)} \, dx\)

\(V=\pi \int\limits^4_0 {(x^2-(x^2+16+8x))} \, dx\)

\(V=\pi\int\limits^4_0 {(x^2-x^2-16-8x))} \, dx\)

\(V=\pi \left(-16x-8x^2/2\right)^4_0\)

\(V=\pi(-16(4)-4(4)^2)\)

\(V=-128\pi\)

Hence, the exact value of the volume of the object we obtain when rotating R about the x -axis is 128π.

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Suppose that R is the finite region bounded by y = x , y = x + 4 , x = 0 , and x = 4 . Find the exact value of the volume of the object we obtain when rotating R about the x -axis.

Answer:

=50×30

= 1500m.

Step-by-step explanation:

field = length = breadth

Answer:

X > 3

EDIT*

H > 3

Apologies, I've forgotten to change the subtitude.

Step-by-step explanation:

-Solve the inequality

Hope it helps! :)

You have the following information:

- John bought 15 cookies

- John ate 3 of the 15 cookies

In order to calculate the percentage associated to the 3 cookies John ate, respect to the total cookies, you proceed as follow:

Hence, John ate 30% of the total number of cookies.

Answer:

G>48

Step-by-step explanation:

48/4=12

G/4>12

G>12x4=g>48

Answer:

True

Step-by-step explanation:

If the discriminant \(D=b^2-4ac < 0\), then there are two complex roots

If the discriminant \(D=b^2-4ac > 0\), then there are two real roots

If the discriminant \(D=b^2-4ac=0\), then there is only one real root

Answer:

Minimum=60

First Quartile(Q1)=79

Median=86

Third Quartile (Q3)=89

Interquartile range (IQR)=10

Answer:

To solve the equation:

2/3x - 1/5x = x - 1

First, we need to find a common denominator for 2/3 and 1/5, which is 15. So we can rewrite the equation as:

(10/15)x - (3/15)x = 15/15 x - 1

Simplifying the left side:

(7/15)x = 15/15 x - 1

Multiplying both sides by 15:

7x = 15x - 15

Subtracting 7x from both sides:

-8x = -15

Dividing both sides by -8:

x = 15/8 or 1.875

Therefore, the solution to the equation is x = 1.875.

Answer:

27 Nickels

Step-by-step explanation:

Divide 1.35 by 0.05

= 27

Answer:

A) 9(2+7)

B) 3(12+9

C) 8(3+7)

D)4(5+8)

Step-by-step explanation:

A)

9*(x+7) = 18+63

9*(x+7) = 81

81/9 = x+7

9 = x+7

x = 2

B)

x*(12+9) = 36+27

x*(12+9) = 63

x*21 = 63

x = 63/21

x = 3

C)

8*(x+7) = 24+56

8*(x+7) = 80

x+7 = 80/8

x+7 = 10

x = 3

D)

x*(5+8) = 20+32

x*13 = 52

x = 52/13

x = 4

If my answer is incorrect, pls correct me!

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-Chetan K

let's bear in mind that on the III Quadrant, sine and cosine are both negative, whilst on the IV Quadrant, sine is negative and cosine is positive, that said

\(\cos(\alpha )=\cfrac{\stackrel{adjacent}{3}}{\underset{hypotenuse}{5}}\hspace{5em}\textit{let's find the \underline{opposite side}} \\\\\\ \begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{5}\\ a=\stackrel{adjacent}{3}\\ o=opposite \end{cases} \\\\\\ o=\pm \sqrt{ 5^2 - 3^2} \implies o=\pm \sqrt{ 16 }\implies o=\pm 4\implies \stackrel{IV~Quadrant }{o=-4} \\\\[-0.35em] ~\dotfill\)

\(\tan(\beta )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{3}}\implies \tan(\beta )=\cfrac{\stackrel{opposite}{-4}}{\underset{adjacent}{-3}} \\\\[-0.35em] ~\dotfill\\\\ \tan(\alpha + \beta) = \cfrac{\tan(\alpha)+ \tan(\beta)}{1- \tan(\alpha)\tan(\beta)} \\\\\\ \tan(\alpha + \beta)\implies \cfrac{ ~~\frac{-4}{3}~~ + ~~\frac{-4}{-3} ~~ }{1-\left( \frac{-4}{3} \right)\left( \frac{-4}{-3} \right)}\implies \cfrac{0}{1-\left( \frac{-4}{3} \right)\left( \frac{-4}{-3} \right)}\implies \text{\LARGE 0}\)

The volume of Joe chocolate box is 48in³

1. Volume of Joe chocolate box

Given the following dimensions:

length = 6in

height = 2in

width = 4in

Recall that,

Volume = length x width x height

Volume = 6 in x 4 in x 2 in

Volume = 48in³

2. Gift paper to wrap rectangular gift box

To calculate the amount of gift paper required to wrap the rectangular box, we need to find the surface area of the box.

Recall that,

Surface Area = 2(length x width) + 2(length x height) + 2(width x height)

Surface Area = 2(15 in x 10 in) + 2(15 in x 8 in) + 2(10 in x 8 in)

Surface Area = 300 in² + 240 in² + 160 in²

Surface Area = 700in²

3. Quantity of pasta served to Olivia

To find the quantity of pasta served to Olivia, we need to calculate the volume of the rectangular prism lunch box.

The volume of a rectangular prism can be calculated by multiplying its length, width, and height.

Given the dimensions of the lunch box, we have:

Volume = Length x Width x Height

Volume = 5 in x 4 in x 3 in

Volume = 60in³

Therefore, the quantity of pasta served to Olivia is 60in³

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After driving x miles, the first plan costs

60 + 0.70x

dollars, while the second plan costs

0.80x

dollars.

The plans cost the same when these prices are equal:

60 + 0.70x = 0.80x

Solve for x :

60 = 0.80x - 0.70x

60 = 0.10x

x = 60/0.10

x = 600

Answer:

x < 3

Step-by-step explanation:

5x+7x<36

12x<36

Divide both sides by 12

x<3

Answer:

3/-2

Step-by-step explanation:

All I did was put - 3/2 into my calculator and got the answer. I than found the answer for the rest of the fractions and only the first one equals to - 3/2.

According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

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Answer:

24

Step-by-step explanation:

10^2+x^2=26^2

x^2=26^2-10^2

x^2=576

x=\(\sqrt{576}\)=24

Answer:

1:4

Step-by-step explanation:

because the ratio go first

Answer:

46

Step-by-step explanation:

convert it into an improper fraction then work it like you normally would.