Two boats depart from a port located at (–8, 1) in a coordinate system measured in kilometers and travel in a positive x-direction. The first boat follows a path that can be modeled by a quadratic function with a vertex at (1, 10), whereas the second boat follows a path that can be modeled by a quadratic function with a vertex at (0, –7). Which system of equations can be used to determine whether the paths of the boats cross?

It is important to give importance to the Filipinos who give honor to our country because they have sacrificed and dedicated their time and effort for the betterment of our nation.

These Filipinos are the ones who have made a significant impact on our country's progress and development, and without them, our country would not be where it is today. Giving importance to these Filipinos also serves as a way to show our gratitude and appreciation for their contributions. Additionally, recognizing and honoring these Filipinos can inspire and motivate others to do the same and contribute to the betterment of our country. Therefore, it is essential to give importance to the Filipinos who give honor to our country.

learn more about Filipinos at https://brainly.com/question/29798452

#SPJ11

Answer:

a. Addition & division

Step-by-step explanation:

2x - 4 = 16   (adding 4 to both sides)

2x  = 16 + 4

2x = 20  (dividing both sides by 2)

x = 20/2 = 10

Hence we can see that the two operations are addition and then division

Answer:

8 18 16 27

Step-by-step explanation:

Both the white longhair female cat (w/w; l/l) and the black shorthair male cat (w/w; l/l) are homozygous for the white coat color (w/w) and the longhair trait (l/l).

When these cats mate, all the kittens will inherit one allele for each trait from each parent. Since both parents are homozygous for the white coat color (w/w), all kittens will also inherit the white coat color gene from both parents, resulting in white kittens (w/w). Similarly, both parents are homozygous for the longhair trait (l/l), so all kittens will inherit the longhair allele from both parents, making them longhair kittens (l/l).

In conclusion, all 12 kittens will have a white coat color and long hair, just like their parents. They will look like white longhair kittens, with the genotype (w/w; l/l) for both traits. It is important to remember that being a responsible pet owner includes spaying or neutering your pets to prevent unwanted litters, and finding loving homes for any kittens or puppies that may be born.

For more about homozygous:

https://brainly.com/question/376455

#SPJ11

It will take the golf ball 12 seconds to hit the ground using the kinematic equation for vertical motion.

To determine the time it takes for the golf ball to hit the ground, we can use the kinematic equation for vertical motion:

\(h = ut + (1/2)gt^2\)

Where:

h is the height (0 feet, as the ball is on the ground)

u is the initial velocity (192 feet per second)

g is the acceleration due to gravity (-32 feet per second squared, considering downward direction)

t is the time we want to find

Plugging in the given values, we get:

\(0 = (192)t + (1/2)(-32)t^2\)

Simplifying the equation, we have:

\(-16t^2 + 192t = 0\)

Factoring out t, we get:

t(-16t + 192) = 0

Setting each factor equal to zero, we have:

t = 0 (not applicable in this case)

-16t + 192 = 0

Solving for t, we get:

-16t = -192

t = 12

To know more about second,

https://brainly.com/question/25379347

#SPJ11

The time it takes for the golf ball to hit the ground is approximately 11.92 seconds.

The time it takes for the golf ball to hit the ground can be determined using the equation of motion. We can use the formula:

h0 = 0

v0 = 192

g = 32.2

a = 16.1

b = 192

t1 = 0

t2 = -b / a

t(-16t + 192) = 0

Setting each factor equal to zero, we have:

t = 0 (not applicable in this case)

-16t + 192 = 0

Solving for t, we get:

-16t = -192

t = 12

t2 >= 0:

   time_to_hit_ground = t2

   time_to_hit_ground = t1

The time it takes for the golf ball to hit the ground is approximately", round(time_to_hit_ground, 2 seconds.

The time it takes for the golf ball to hit the ground is approximately 11.92 seconds.

Since time cannot be negative in this context, we discard the negative solution. Therefore, the time it takes for the golf ball to hit the ground is approximately 11.92 seconds.

Learn more about second:

brainly.com/question/25379347

#SPJ11

Answer:

66.66%

Step-by-step explanation:

follow the steps to get answer

plz thanks me and mark as

Answer:

Answer is ...Obtuse

Step-by-step explanation:

\( \frac{m<ABC}{2} = m< CBD\)

\( \frac{5x + 4}{2} = \frac{3}{2} x + 21\)

\( \frac{5x + 4}{2} = \frac{3x + 42}{2} \)

\(5x + 4 = 3x + 42\)

\(5x - 3x = 42 - 4\)

\(2x = 38\)

\(x = 19\)

\(substituting \: x = 19 \: \:in \: \: \: \: \: \: \: \\ m<ABC =\: \: 5x + 4, \)

We get,

m<ABC =

\((5 \times 19) + 4 = 99\)

Hence <ABC is obtuse

The cost spent on fill the box with sand is 405$.

According to the statement

we have given a square sandbox with length 9 ft and depth of 1 ft.

and the rupees of sand per cubic ft is $5

then

Now, we have to find the volume of sandbox with the given length and depth.

So, for this purpose we use Volume formula

V = (a)^3

V = 9*9*1

V = 81 cubic feet

And the cost of sand per cubic feet is $5.

then

The cost of sand for 81 cubic per feet is calculate by multiplication formula then

Total cost of sand = 81*5

Total cost of sand = 405$

So, The cost spent on fill the box with sand is 405$.

Learn more about VOLUME here https://brainly.com/question/11408596

#SPJ4

Therefore ,the data they employ includes Second Party Data as a result, which is the solution to the given challenge of plotting data.

The most typical method of utilizing a chart to convey data is to graph the correlation of two additional variables. Diagrams created by hand or using a computer are also acceptable. From the origin, go three up, then 2 pieces to the right. On the reference system, it is important to display the digits for positions 2, 3, and 4. Be really explicit with your points. The pinkish squiggle with the letter P represents the value of 2.3. You must first generate a number line for each number in a collection of data to be able to create a chart.

Here,

Given :

Data gathered from hospitals is frequently used by institutions like the US Center of Disease Control (cdc).

In order to determine what data they use,

From the information provided, it is clear that they are using second-party data.

Therefore ,the data they employ includes Second Party Data as a result, which is the solution to the given challenge of charting the data.

To know more about plotting data visit:

https://brainly.com/question/29096917

#SPJ4

Since the workouts are normally on hour scale, thus the first comparison of $9.00 per hour of childcare is more appropriate here.

Firstly try to find what is the usual scale used for that work.

The usual scale used for given specified work is mostly the appropriate scale.

For Gym case, people are not coming and going in minutes scale, but they count in hours and will be able to comprehend the hour scale better.

Both Gym although offer same price (since $0.75 per minute is equal to $9.00 per hour), but the cost Gym A specifies is more easy to understand for normal public, thus it is more appropriate scale.

Learn more about comparison here:

https://brainly.com/question/16781152

The equation represented by Ms. Wilson's model is n² + 13n + 40 = (n + 8)(n + 5)

The partially completed model is given as:

    |  n

    |  n²

5   | 5n  |  40

By dividing the rows and columns, the complete model is:

    |  n    | 8

n   |  n²  |  8n

5   | 5n  |  40

Add the cells, and multiply the leading  row and columns

n² + 8n + 5n + 40 = (n + 8)(n + 5)

This gives

n² + 13n + 40 = (n + 8)(n + 5)

Hence, the equation represented by Ms. Wilson's model is n² + 13n + 40 = (n + 8)(n + 5)

Read more about polynomials at:

https://brainly.com/question/4142886

#SPJ4

Answer:

x = 4/7

Step-by-step explanation:

Since 7(0.5) = 3.5 is not a whole number, the smallest possible value of x that makes 7x a whole number would be x=4/7 because 7(4/7)=4.

x should equal 4/7

It’s over 0.5 but not by much and will lead to a whole number

No, because u = $3.50 is not in the confidence interval.

The 90% confidence interval for the population mean u, based on the sample of 24 customers, is (3.00, 3.26).

Since $3.50 is not within this interval, it is not reasonable to conclude that u = $3.50.

To calculate the sample size needed for a 95% confidence interval with a margin of error of $0.02, we use the formula n = (z*sigma/E)^2, where z is the z-score for the desired confidence level (1.96 for 95% confidence), sigma is the population standard deviation, and E is the margin of error.

Plugging in the given values, we get n = (1.96*0.96/0.02)^2 = 8,851. So, we need to survey at least 8,851 customers. However, in practice, a larger sample size may be needed to ensure the normality assumption is met and to account for potential nonresponse or other sources of error.

For more questions like Mean click the link below:

https://brainly.com/question/31101410

#SPJ11

Here is the answer for the problem I believe

Answer:

Could you show a diagram please?

Step-by-step explanation:

Answer:

Part A:

To find the total length of sides 1 and 2 of the triangle, we need to add the lengths of these sides:

Side 1 + Side 2 = (3x^2 - 4x - 1) + (-x^2 + 4x + 5)

Simplifying the expression by combining like terms, we get:

Side 1 + Side 2 = 2x^2 + 1

Therefore, the total length of sides 1 and 2 of the triangle is 2x^2 + 1.

Part B:

To find the length of the 3rd side of the triangle, we can subtract the sum of sides 1 and 2 from the perimeter of the triangle:

5x^3 - 2x^2 + 3x - 8 - [(3x^2 - 4x - 1) + (-x^2 + 4x + 5)]

Simplifying the expression by distributing the negative sign, and then combining like terms, we get:

5x^3 - 2x^2 + 3x - 8 - 2x^2 + 8x + 4

Simplifying further by combining like terms, we get:

5x^3 - 4x^2 + 11x - 4

Therefore, the length of the 3rd side of the triangle is 5x^3 - 4x^2 + 11x - 4.

Answer:

A) 5x^3 - 4x^2 + 3x - 4

Step-by-step explanation:

Answer:

A) 5x^3 - 4x^2 + 3x - 4

Step-by-step explanation:

Part A:

To find the total length of sides 1 and 2 of the triangle, we need to add the lengths of these sides:

Side 1 + Side 2 = (3x^2 - 4x - 1) + (-x^2 + 4x + 5)

Simplifying the expression by combining like terms, we get:

Side 1 + Side 2 = 2x^2 + 1

Therefore, the total length of sides 1 and 2 of the triangle is 2x^2 + 1.

Part B:

To find the length of the 3rd side of the triangle, we can subtract the sum of sides 1 and 2 from the perimeter of the triangle:

5x^3 - 2x^2 + 3x - 8 - [(3x^2 - 4x - 1) + (-x^2 + 4x + 5)]

Simplifying the expression by distributing the negative sign, and then combining like terms, we get:

5x^3 - 2x^2 + 3x - 8 - 2x^2 + 8x + 4

Simplifying further by combining like terms, we get:

5x^3 - 4x^2 + 11x - 4

Therefore, the length of the 3rd side of the triangle is 5x^3 - 4x^2 + 11x - 4.

Answer:

A) 5x^3 - 4x^2 + 3x - 4

The number of dimes and quarter coins if Isabelle has 2 more dimes than quarters, and has a combined value of 265 cents, is 9 and 7 respectively.

One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical sizes.

Given:

Isabelle has 2 more dimes than quarters, and has a combined value of 265 cents,

Assume the number of dimes is x and the number of quarters is y then,

x = y + 2

10x + 25y = 265 (Dime has 10 cents and a quarter is 25 cents)

Solve the equation by using the elimination method,

y = 7, x = 7 + 2= 9

Thus, the number of dimes = 9 and the number of quarters = 7.

To know more about multiplication:

https://brainly.com/question/1135170

#SPJ1

Therefore, the derivative of the given function is -26x⁻³ + 27x² - 8.

Given function: y=13x⁻²+9x³-8xThe derivative of the given function is;

dy/dx = d/dx (13x⁻²) + d/dx (9x³) - d/dx (8x)

dy/dx = -26x⁻³ + 27x² - 8

The derivative is a measure of the rate of change or slope of a function at any given point. It can be calculated by using differentiation rules to find the rate of change at that point.

The derivative of a function at a point is the slope of the tangent line to the function at that point.

The derivative can also be used to find the maximum or minimum points of a function by setting it equal to zero and solving for x.

The derivative of a function is represented by the symbol dy/dx or f'(x).

To find the derivative of a function, we use differentiation rules such as the power rule, product rule, quotient rule, and chain rule.

In this problem, we have to find the derivative of the given function y=13x⁻²+9x³-8x.

Using differentiation rules, we can find the derivative of the function as follows:

dy/dx = d/dx (13x⁻²) + d/dx (9x³) - d/dx (8x)

dy/dx = -26x⁻³ + 27x² - 8

To know more about derivative visit:

https://brainly.com/question/25324584

#SPJ11

Answer:

343

Step-by-step explanation:

because that is the right one

Answer: 343 is a perfect cube

Step-by-step explanation: If I Helped, Please Mark Me As Brainliest, Have A Great Day :D

The Slope of the line q is 7/3

Given that  a line “p” has a slope \(\frac{7}{3}\) , another line “q” is given which is parallel to line “p”, and asked the slope of line “q”

Parallel lines:

Parallel lines are two or even more lines that lie on the same plane but never intersect. They are equal in distance and have the same slope.

The slope of parallel lines are equal so, the slope of line “p” is equal to the slope of line “q”

The slope of line “p”=slope of line “q”

Given that the slope of line “P”=\(\frac{7}{3}\)

therefore, The slope of the line q is \(\frac{7}{3}\)

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ9

Answer:

Step-by-step explanation:

D because there in to parenthesis so you're correct.

0.994 us tons is the answer

The value of house will be worth $119,600 in four years.

To calculate the value of the house in four years, we need to first determine the total increase in value over that period. Since the value is increasing by $2400 per year, the total increase over four years will be 4 times $2400, or $9600.

Next, we can add the total increase to the current value of the house to find the future value. The current value is given as $110,000, so adding the $9600 increase gives us a future value of $119,600.

Therefore, we can conclude that the value of house will be worth $119,600 in four years, assuming that the annual increase in value remains constant at $2400. It is important to note that this calculation is based on a simple linear model and does not take into account other factors that may affect the value of the house, such as changes in the housing market or renovations made to the property.

To learn about Linear data models, visit:

https://brainly.com/question/12016546

#SPJ11

The general solution of the given system will be dy/dx =6x+5y / 2x + 3y.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that,dx/dt = 2x + 3y , dy/dt=6x+5y

dy/dx = dy/dt × dt/dx

dy/dx =6x+5y × 1 / 2x + 3y

dy/dx =6x+5y / 2x + 3y.

Thus, the general solution of the given system will be dy/dx =6x+5y / 2x + 3y.

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ1

Answer:

B,C,E

Step-by-step explantion

plz mark brainliest if correct

Answer:

The person above me is correct the answer is B.C.E  Give them brainliest!

Proof

The value of x is either 3 or -5 based on the distance formula.

What is a co-ordinate system?

In pure mathematics, a coordinate system could be a system that uses one or additional numbers, or coordinates, to uniquely confirm the position of the points or different geometric components on a manifold like euclidean space.

Main body:

according to question

Given points A(-1,4) and B(x,7)

Also AB = 5 cm

Formula of distance = \(\sqrt{(y1-y2)^{2}+(x1 -x2)^{2} }\)

here by using points ,

5 = \(\sqrt{(x+1)^{2} +(7-4)^{2} }\)

taking square on both side ,'

25 = \((x+1)^{2} +3^{2}\)

25-9 = (x+1)²

16 = (x+1)²

taking square root on both sides,

x+1= ±4

x = 4-1 = 3                                  or              x = -4-1 = -5

Hence value of x is either 3 or -5.

To know more about point , visit:

https://brainly.com/question/26310043

#SPJ1

Answer:

12.56

Step-by-step explanation:

find the circumference of the circle : 2πr

C=2(12)(3.14)

C=75.36

the length of the arc is: arc length will be (60/360) one 1/6 of the total circumference.

(60/360)(75.36)= 12.56

Answer:

12x+2

Step-by-step explanation:

multiply width and length by 2 and add them together