The graph of a rational function is shown below. Write the
equation that represents this function.

Using linear function you would need to cross the bridge 30 times for the costs of the two toll options to be the same.

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The marked price is $100 and price down is 20% each day.

The marked down is given on the price of jacket on that day. For example,

Determine the price of jacket after one day.

So on first day discount is $20.

On second day 20% price down of $80 not $100.

Determine the price of jacket on second day.

So on second day discount is only $16 not $20 as on first day.

Determine the price of jacket on third day.

The price of jacket on third day is $51.2.

Determine the price of jacket on fourth day.

The price of jacket on fourth day is $40.96.

Determine the price of jacket on fifth day.

So after 5 day price marked on the jacket is $32.768.

The Sten is wrong as he think that 20% per day marked price down means in 5 days the discount is,

and 100% discount means jacket is free.

But in actual the discount is provided on per day marked price not on $100. On first day discount is on $100 as cost of jacket is $100 but on second day cost of jacket decrease to $80. So price is down by 20% of 80 not by 20% of 100. So after 5 days cost of Jacket is $32.768 not $0.

Answer: Cost of jacket after 5 days is $32.768.

Answer:

The two multiples are 42 and 48

6 times 7 is 42

and 6 times 8 is 48

Okay, here we have this:

Considering the provided information, and the following chord length equation, we obtain the following:

Now, let's solve for r:

Finally we obtain that the radius of the circle is approximately 25.5 inches.

Answer:

11

Step-by-step explanation:

5x-10=45

+10. +10

5x= 10+45

5x= 55

x= 11

The observation of the pattern is discussed below.

When we calculate the squares of the numbers from 1 to 10 and observe the digits at the one's place of each square, we notice a pattern:

1²=1

2²=4

3²=9

4²=16

5²=25

6²=36

7²=49

8²=64

9²=81

10²=100

If we focus on the digits at the one's place, we can see that they form a repeating pattern: 1, 4, 9, 6, 5, 6, 9, 4, 1, 0. This pattern repeats itself as we calculate the squares of higher numbers.

This observation is known as the "digit at one's place pattern" or the "units digit pattern." It occurs because the square of any number depends only on the digit at the one's place of that number. Hence, when we square numbers that have the same digit at the one's place, we get the same digit at the one's place in the result.

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Answer:

252 Cheese Bugers were sold on Thursday

Step-by-step explanation:

378 divided by 3=126

126+126= number of hamburgers

126= number of chese bugers

126+126=252

\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta = \stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=5 \end{cases}\implies 5\theta =180(5-2) \\\\\\ 5\theta =180(3)\implies 5\theta =540\implies \theta =\cfrac{540}{5}\implies \theta =108\)

Answer: 0.07

Step-by-step explanation:

Use the given functions to set up and simplify 5years. 7% = 0.075 years = 0.07

Answer:

y= 18x + 15

Step-by-step explanation:

If its 9 dollars per hour than it would be 18 per hour. The independent variable is the how long itll take, and the 15 would be without starting. So it results into B) y=18x+15

Answer:

D. (Y=9x+15)

Step-by-step explanation:

This one was pretty easy to find out using common sense, it can be solved via knowing that the only variable being multiplied is 9, so find 9x+15 and there is your answer.

Answer:

1)It crosses through the middle of the isosceles triangle cutting it into two equal parts Point p on the end

Point P is also either at the top or bottom of the perpendicular bisector which cuts between L and M

Answer: 0.556

Step-by-step explanation:

Answer:

5/9 as a decimal is .5 repeating. I hope this helps.

Answer:

Step-by-step explanation:

from the figure and the measurements it is a square, the diagonals are perpendicular and form 4 angles of 90°, so 90° is your answer.

Answer:  $130 money did Brenda and Hazel have all together before buying decorations and snacks.

Here, we have,

You want to know Brenda and Hazel's combined money when the ratio of their remaining balances is 1 : 4 after Brenda spent $58 and Hazel spent $37. They had the same amount to start with.

Setup

Let x represent the total amount the two women started with. Then x/2 is the amount each began with, and their fnal balance ratio is ...

 (x/2 -58) : (x/2 -37) = 1 : 4

Solution

Cross-multiplying gives ...

 4(x/2 -58) = (x/2 -37)

 2x -232 = x/2 -37 . . . . . . eliminate parentheses

 3/2x = 195 . . . . . . . . . . . . add 232-x/2

 x = (2/3)(195) = 130 . . . . . multiply by 2/3

Brenda and Hazel had $130 altogether before their purchases.

Alternate solution

The difference in their spending is $58 -37 = $21.

This is the same as the difference in their final balances.

That difference is 4-1 = 3 "ratio units", so each of those ratio units is $21/3 = $7.

Their ending total is 1+4 = 5 ratio units, or $35.

The total they started with is $58 +37 +35 = $130.

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complete question:

Brenda and Hazel decide to throw a surprise party for their friend, Aerica. Brenda and Hazel each go to the store with the same amount of money. Brenda spends $58 on decorations, and Hazel spends $37 on snacks. When they leave the store, the ratio of Brenda’s money to Hazel’s money is 1 : 4. How much money did Brenda and Hazel have all together before buying decorations and snacks?

\(\frac{30}{75}\) divide each number by 5.

\(\frac{6}{15}\) divide each number by 3

\(\frac{2}{5}\)

Therefore, the reduced form is

\(\frac{2}{5}\)

Answer:

3.75 liters a day

Step-by-step explanation:

The area of the park is 12 square units.

To find the area of the park, we can use the Shoelace Formula (also known as Gauss's area formula). This formula allows us to calculate the area of any polygon given the coordinates of its vertices.

The Shoelace Formula states that if we have the coordinates of the vertices of a polygon in counterclockwise order (x₁, y₁), (x₂, y₂), ..., (xn, yn), then the area (A) of the polygon is given by:

A = 1/2 × |(x₁y₂ + x₂y₃ + ... + xn-1yn + xny₁) - (y₁x₂ + y₂x₃ + ... + yn-1xn + ynx₁)|

In our case, the coordinates of the park's vertices are (-9, -9), (-3, -9), and (-6, -5). Let's calculate the area using the Shoelace Formula:

A = 1/2 × |(-9 × -9 + -3 × -5 + -6 * -9) - (-9 × -3 + -9 × -6 + -5 × -9)|

Simplifying further:

A = 1/2 × |(81 + 15 + 54) - (27 + 54 + 45)|

A = 1/2 × |150 - 126|

A = 1/2 × |24|

A = 12

Therefore, the area of the park is 12 square units.

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Answer:

---------------------

Plot the given vertices and connect.

See attached.

Then add the height CD.

The base is AB, with the length:

The height is CD, with length:

Find the area using equation:

The correct answer is C) 9.9 lbs as it is above the upper boundary 6.4865, it is the outlier in this dataset.

An outlier is an observation that is much higher or lower than the other observations in a dataset.

In this case, the weights of the catfish range from 2.7 to 4.8 lbs, with one observation that is much higher at 9.9 lbs.

Therefore, 9.9 lbs is the outlier in this dataset.

To find the outlier in this dataset, we can calculate the interquartile range (IQR).

This is done by first calculating the first quartile (Q1) and third quartile (Q3).

The Q1 for this dataset =3.75

and the Q3= 4.675.

IQR= Q3 - Q1

= 0.925.

We then calculate the lower boundary as Q1 - (1.5 x IQR) = 2.3625.

The upper boundary is Q3 + (1.5 x IQR)= 6.4865.

Since 9.9 lbs is above this upper boundary, it is the outlier in this dataset.

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Answer:

:P

Step-by-step explanation:

Answer:

I don't know, because i really don't know

Answer:

The new coordinates are \(A'(x,y) = (3, 0)\), \(B'(x,y) = (6, -3)\) and \(C'(x,y) = (2, -3)\).

Step-by-step explanation:

Vectorially speaking, the translation of a point can be defined by the following expression:

\(V'(x,y) = V(x,y) + T(x,y)\) (1)

Where:

\(V(x,y)\) - Original point.

\(V'(x,y)\) - Translated point.

\(T(x,y)\) - Translation vector.

If we know that \(A(x,y) = (-3,4)\), \(B(x,y) = (0,1)\), \(C(x,y) = (-4,1)\) and \(T(x,y) = (6, -4)\), then the resulting points are:

\(A'(x,y) = (-3, 4) + (6, -4)\)

\(A'(x,y) = (3, 0)\)

\(B'(x,y) = (0,1) + (6, -4)\)

\(B'(x,y) = (6, -3)\)

\(C'(x,y) = (-4, 1) + (6, -4)\)

\(C'(x,y) = (2, -3)\)

The new coordinates are \(A'(x,y) = (3, 0)\), \(B'(x,y) = (6, -3)\) and \(C'(x,y) = (2, -3)\).

in 14 january 1976 A will be twice as old as B

If the radius of Jasmine's swimming pool is 4.2 meter, then it's circumference is 26.4 meters.

The "Circumference" of a circle is known as the distance around the boundary of a circle.

The circumference of a circle is given by the formula : 2 × π × radius,

where π (pi) is a mathematical constant approximately equal to 3.14,

We are given that Jasmine's swimming pool has a radius of 4.2 meters.
So, we can calculate the circumference of the pool as :

⇒ Circumference = 2 × 3.14 × 4.2 meters,

⇒ Circumference ≈ 26.4 meters,

Therefore, the circumference of Jasmine's swimming pool is 26.4 meters.

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Step-by-step explanation:

therefore, the correct option should be A.

Answer:

220$

Step-by-step explanation:

.10(200) + 200

or put 1.1(200)

When a distribution has three or more peaks then it is said to be a multimodal distribution .

In histograms, there are often three types of distributions which are classified according to the number of peaks that they have . A unimodal distribution would be a histogram that has a single peak in its distribution .

Then there are binomial distributions which boast of having two peaks , Then finally, there is the multimodal distribution which is for all distributions with either three peaks, or more than that .

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Answer:

35 square feet

Step-by-step explanation:

Area of the rug :