5. The table below represents fees for a parkirls lot. Graph the
function. What are the domain and range of the function?
What are the maximum and minimum values?
Time
3 6 9 Kts 12h
0 $10
Cost
$15
$20
$25

Given :

1.) Mr. Castro had 7/8 gallons of paint. He used 2/5 of it to paint his bicycle.

2.) Mother bought 14/15 kilograms of pepper. She 1/3 used of it in cooking adobo for the visitors.

To Find :

1.) What part of the paint he had used?

2.) What part of the pepper did she use?

Solution :

Part of paint used by Mr. Castro, p = 7/8 × 2/5 = 7/20 .

Part of pepper used by mother = 14/15 × 1/3 = 14/45 .

Hence, this is the required solution.

Answer:

y=2x+3

Step-by-step explanation:

y=mx+b

b=y-intercept (where line goes through y-axis)

m=slope (rise/run)

In Costello et al. (2003), the independent variable that was not manipulated by the research team was the gender of the participants.

The study examined the effects of different levels of alcohol consumption on cognitive performance and mood states in young adults. Participants were assigned to different alcohol consumption groups based on their self-reported drinking habits. However, the gender of the participants was not manipulated, and the study included both male and female participants. This means that any differences in the results based on gender cannot be attributed to the research team's manipulation of the independent variable, but rather to other factors that may have affected the results.

To know more about Variable  visit :

https://brainly.com/question/29583350

#SPJ11

On comparing with the equation, the value of B is 3.

The correct option is B.

Given

Tyrone factored the polynomial completely.

\(\rm 12x^4+30x^3+4x^2+10x\)

Factorization is nothing but writing a number as the product of smaller numbers.

The factors of the polynomial are;

\(\rm 12x^4+30x^3+4x^2+10x\\\\2x(6x^3+15x^2+2x+5)\\\\2x(3x^2(2x+5)+1(2x+5))\\\\2x(3x^2+1)(2x+5)\)

On comparing with the equation;

\(\rm 2x(3x^2+1)(2x+5)=Ax(Bx^2+1)(2x+5)\\\\B=3\)

Hence, the value of B is 3.

To know more about factorization click the link given below.

brainly.com/question/17595467

Answer:

3

Step-by-step explanation:

2022

The area of the shape which is made up of the semicircle and the rectangle  is 44.13

The area of the semicircle = area of circle  / 2

= πr²/2

= 9 x 3.14 / 2

= 14.13

The area of a reactangle can be defined as length x width

This will give us the area as

6 x 5

Area = 30 cm for the rectangle

The exact area of the shape will be Total Area = (Area of Semicircle) + (Area of Rectangle)

= 30 cm + 14.13

= 44.13 cm

Read more on semicircle here:https://brainly.com/question/8959752

#SPJ1

4567olur

give up I'm a special station

Check the picture below, so the perimeter of the trapezoid is really 13 + 15 + 13 + x + 15 + x, or just 56 + 2x.

\(\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=\stackrel{hypotenuse}{13}\\ a=\stackrel{adjacent}{12}\\ b=\stackrel{opposite}{x}\\ \end{cases}\)

\(\sqrt{13^2 - 12^2}=b\implies \sqrt{169 - 144}=b\implies \sqrt{25}=b\implies 5=b \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{perimeter}{56+2(5)\implies 66}~\hfill ~ \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ cos(\theta)=\cfrac{\stackrel{adjacent}{12}}{\underset{hypotenuse}{13}}\implies \theta =cos^{-1}\left( \cfrac{12}{13} \right)\implies \theta \approx 22.62^o \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\measuredangle BCD}{\theta +90^o~~\approx 112.62^o}~\hfill\)

Answer:

ad =4

Step-by-step explanation:

The sum is a binomial with a degree of 6 after adding like terms, and the sum is -2xy⁵ + 3x⁴y option fourth is correct.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

\(\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n\)

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have two polynomials:

3x²y² - 2xy⁵ and -3x²y² + 3x⁴y

Adding two polynomials:

= (3x²y² -2xy⁵) + (-3x²y² + 3x⁴y)

= -2xy⁵ + 3x⁴y

The expression represents a binomial with degree 6(1+5) because it has two terms.

Thus, the sum is a binomial with a degree of 6 after adding like terms and the sum is -2xy⁵ + 3x⁴y option fourth is correct.

Learn more about Polynomial here:

brainly.com/question/17822016

#SPJ1

a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

Learn more about holding period

brainly.com/question/32568151

#SPJ11

Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)

1. Provincial Sales Tax is charged on most goods and some services

2. Goods and Services Tax is charged on most goods and services.

3. In Ontario, the total combined tax on most items is 13%.

4. This combined tax is called Harmonized Sales Tax.

Read more about Sales Tax

brainly.com/question/30109497

#SPJ1

Answer:

150 stayed alive

Step-by-step explanation:

25% = 0.25

200 * 0.25 = 50 (50 died)

200 - 50 = 150

150 chickens remained alive.

The number of books taken by each student is 6.

Average is defined as the ratio of the sum of the number of the data sets to the total number of the data. The average actually determines the middle value of the data.

Given that the total number of books checked out of the library at your high school is 14,400 and the student population is about 2400.

The average is calculated by dividing the sum of the total number of items by the total counts of the items.

Average = 14400 / 2400

Average = 6

Therefore, the number of books taken by each student is 6.

To know more about an average follow

https://brainly.com/question/20118982

#SPJ4

In 2013, approximately 16% of goods and services sold in the United States were imported.

In 2013, the United States imported goods and services from various countries around the world. These imports comprised about 16% of the total goods and services sold within the country during that year. This percentage indicates that a significant portion of the products consumed by Americans were produced outside of the United States and then brought into the country for sale.

Imported goods and services play a crucial role in the U.S. economy, providing consumers with a wide range of products and contributing to domestic industries through global trade. The 16% figure indicates the extent to which the United States relies on international markets to meet its demand for goods and services.

This percentage reflects the interdependence and interconnectedness of the global economy. It highlights the importance of trade agreements, import policies, and international relations in shaping the U.S. economy. Factors such as cost competitiveness, availability of resources, and consumer preferences influence the volume and composition of imported goods and services.

It's worth noting that the percentage of imports can vary over time due to changing economic conditions, trade policies, and geopolitical factors. Therefore, it is essential to consider the specific year and context when discussing the percentage of imported goods and services in the United States.

To learn more about percentage of imports click here: brainly.com/question/9037100

#SPJ11

The quadrant in which the terminal point determined by lies on the origin.

In the first scenario, sin(t) is negative, which means that the angle t is in the third or fourth quadrant. However, cos(t) is positive, which eliminates the third quadrant, leaving us with the fourth quadrant as the only possibility.

In the second scenario, sin(t) is negative again, which means that t is in the third or fourth quadrant. This time, cos(t) is zero, which means that t lies on the y-axis. Since the y-axis separates the second and third quadrants, we can conclude that the terminal point is in the third quadrant.

In the third scenario, sin(t) is zero, which means that t lies on the x-axis. Additionally, cos(t) is negative, which eliminates the first quadrant and leaves us with the second quadrant.

Finally, in the fourth scenario, sin(t) is zero again, which means that t is on the x-axis. This time, cos(t) is also zero, which means that t lies on the origin, which is not in any quadrant.

To know more about quadrant here

https://brainly.com/question/7196312

#SPJ4

The exact value of c is √5

The given parameters are:

The length of AB is given as c

i.e. AB = c

The length of AB is calculated using

AB = √Vertical distance^2 + Horizontal distance^2

Substitute the known values in the above equation

AB = √2^2 + 1^2

Evaluate

AB = √5

Recall that

AB = c

So, we have

c= √5

Hence, the exact value of c is √5

Read more about distance at:

https://brainly.com/question/7243416

#SPJ1

The quotient of the given problem using laws of exponents is; 6 * 10⁰

We want to express the quotient of the quantity 30 times ten raised to the negative twenty fourth power end quantity divided by the quantity 5 times ten raised to the negative twenty fourth power end quantity.

This is;

(30 * 10⁻²⁴)/(5 * 10⁻²⁴)

Now, we can break this down into like terms to get;

(30/5) * (10⁻²⁴/10⁻²⁴)

= 6 * 1

Now, 1 can also be written as;

10⁰ = 1

Thus, the solution of the given problem is; 6 * 10⁰

Read more about Law of Exponents at; https://brainly.com/question/11761858

#SPJ1

Answer:

Hi i'm wondering how to find the answer the answer is 3 over 2 (2k-8) > 1 over 3(k-9)

Answer:

Answer will be 1/53 as a fraction, and 0.02 as a decimal.

Step-by-step explanation:

In order to solve this equation, we will first plug in -8 into every x term.

So now we will have:

\(f( - 8) = \frac{1}{ - 8 {}^{2} - 11 } \)

{Don't mind the f (-8), just think of it as a sort of place holder.}

Anyways, now we will do -8 × -8, since that's what -8^2 implies:

-8 × -8 = 64

Next do 64 - 11, to get 53.

Now we have 1/53

(You can also divide the numerator by the denominator, to get the answer in decimal form.)

Hope this helps you :)

Sorry if it doesn't.

The vectors AB and AC are (-2, -1, 5) and (-5, 1, 5) respectively. The parametric equation of the line passing through A and B is given, and the equation of the plane containing points A, B, and C is y = 0. The area of triangle ABC is calculated to be 7.5 square units.

(a) To find the vectors AB and AC, we subtract the coordinates of point A from the coordinates of points B and C, respectively:

Vector AB = B - A = (2 - 4, 0 - 1, 3 - (-2)) = (-2, -1, 5)

Vector AC = C - A = (-1 - 4, 2 - 1, 3 - (-2)) = (-5, 1, 5)

(b) The parametric equation of the line passing through points A and B can be expressed as:

x = 4 - 2t

y = 1 - t

z = -2 + 5t

The equation of the plane containing points A, B, and C can be determined using the cross product of vectors AB and AC. The normal vector of the plane is given by:

n = AB x AC = (-2, -1, 5) x (-5, 1, 5)

Using the cross product formula, we calculate the cross product:

n = ((-1)(5) - (1)(-5), (5)(-5) - (5)(-2), (-2)(1) - (-1)(-2))

= (-5 - (-5), -25 - (-10), -2 - 2)

= (0, -15, 0)

The equation of the plane can be written as:

0x - 15y + 0z + d = 0

Simplifying, we get:

-15y = 0

y = 0

Therefore, the equation of the plane is -15y = 0, or simply y = 0.

(c) To find the area of triangle ABC, we can use the formula:

Area = (1/2) * |AB x AC|

We already have the vectors AB and AC:

AB = (-2, -1, 5)

AC = (-5, 1, 5)

Calculating the cross product:

AB x AC = ((-1)(5) - (1)(-5), (5)(-5) - (5)(-2), (-2)(1) - (-1)(-2))

= (-5 - (-5), -25 - (-10), -2 - 2)

= (0, -15, 0)

Now we can find the magnitude of the cross product:

|AB x AC| = sqrt(0^2 + (-15)^2 + 0^2) = sqrt(225) = 15

Finally, we calculate the area:

Area = (1/2) * |AB x AC| = (1/2) * 15 = 7.5

Therefore, the area of triangle ABC is 7.5 square units.

To know more about parametric equation,

https://brainly.com/question/32067020

#SPJ11

Answer:

Point T is (-1,1)

Step-by-step explanation:

Concept:

If there two points (x1,y1) and (x2,y2) which lies on coordinate plane and them it divided by point p in the ratio m:n then coordinate of point p is given by

p (nx1+mx2)/(m+n),   (ny1+my2)/(m+n)

__________________________________________

Given

points M(-2,-4) and N(1, 5)

ratio : 1:2

point t  is  (2*-2+1*1)/(1+2),   (2*-4+1*5)/(1+2)

=>  (-4+1)/(3),   (-8+5)/(3)

=> -3/3 , 3/3

=> -1, -1

Thus, point T is (-1,1)

Answer:

7.639

Step-by-step explanation:

7.639 rounds to 7.64 which is the closest on I could find to 7.62.

Answer:

 I think the answer is 7.636

Step-by-step explanation:

Identity properties of addition are known to commutative in nature.

Given A and B, A and B are commutative or possess identity property of addition if;

A+B = B+A

For identity property, the two integers you are summing must include zero. For exmaple, a+0 = 0+a = a

The answer must always give the non-zero integer. Let us use 8 and 0 for example. This two possess the identity property of addition because;

8+0 = 0+8 = 8 (identity property of addition)

Answer:

45% of 280 is 126

126

Hope This Helps!

35% of 280 is 98. 100% of 280 is 280, therefore 35 percent of 280 equals 98

80% of 280 = 224

45% of 280 = 126

The distance of 40 lb will be 5ft, according to the question.

What do you mean by distance?

Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.

According to the given question,

We have the given information:

The fulcrum be located from the 40 lb.

The weight of bar is 9ft long.

Now, we will calculate the distance,

40x = 50(x-1)

40x = 50x - 50

40x - 50x = -50

-10x = -50

x = 5

Therefore, the required answer is 5ft.

To learn more about distance, visit:

brainly.com/question/15256256?referrer=searchResults

#SPJ4

b) To draw the schematics of the learned perceptron, you should draw an input neuron layer with the weights labeled, followed by an output neuron layer with the learned weights labeled. You can also draw an arrow between the two neuron layers to show the connection between them.

c) The equation of the trained model is simply the equation of the classifier line, which is a line that separates the two groups of data points. This line can be expressed as w1x1 + w2x2 + b = 0, where w1 and w2 are the weights of the perceptron, x1 and x2 are the inputs, and b is the bias.

d) To plot the given data points with two different markers for each group, you can use any graphing software such as Excel or MATLAB. Make sure to label the two different markers clearly to represent the two different groups.

Learn more about MATLAB

brainly.com/question/30891746

#SPJ11

Answer:

\(\sqrt{89}\)

Step-by-step explanation:

You want to use the distance formula which is \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

So if you just plug in the numbers correctly and solve correctly then you should get \(\sqrt{89}\)

The boat's distance and bearing from the port regions are as follows;

The boat is located around 157.15 kilometers from the harbor on a bearing of 150°.

In mathematics, a bearing is an angle measured clockwise from the north or y-axis direction.

The Coast Guard cutter travels at a speed of 30 kno

Angelica, a Coast Guard cutter, has a bearing of 95 degrees.

The coast guard goes for 2 hours in the first direction.

The shift in direction of the Coast Guard cutter = 185°

Travel time in the new direction = 2 hours

30 knots equals 55.56 km/hr

The distance traveled in the first direction = 55.56 km/hr = 111.12 km in 2 hours

Distance traveled in the other direction = 55.56 km/hr 2 hours = 111.12 km

According to the accompanying graphic, the figure produced by the Coast Guard cutter's course is an isosceles triangle.

The Pythagorean theorem gives the distance from the port to the position of the boat as l = √(111.122^2 + 111.122^2) ≈ 157.15.

The boat is roughly 157.15 kilometers away from the port.

An isosceles right triangle has 45° base angles.

As a result, the bearing is 95° + 45° = 150°.

The angle between the port and the boat is 150°.

Learn more about bearings in mathematics here:

https://brainly.com/question/22013596

#SPJ4