Q: Sam challenges Tom to a race. If Sam can run 6 meters per second and Tom can run at 7 meters per
second. After a minute and a half how far apart will they be?

La ecuación para la relación entre la distancia y el número de segundos: y =-25x+160.

x=0, y=160m

x=3, y=85m

Dónde:

x=Tiempo

y=velocidad

El primer paso es encontrar el tiempo

Tiempo = (85-160m)/ 3s

Tiempo=-75m/3s

Tiempo=-25 m/s

El segundo paso es crear la ecuación

y =-25x+160

Por lo tanto la ecuación de la relación entre la distancia y el número de segundos: y =-25x+160.

Obtenga más información sobre la ecuación aquí: https://brainly.com/question/2972832

#SPJ1

Answer:

Step-by-step explanation:

This is a quadratic function.  

This function has one solution since its discriminant is zero.

Answer:

one real solution

Step-by-step explanation:

Discriminant

[tex]b^2-4ac\quad\textsf{when}\:ax^2+bx+c=0[/tex]

[tex]\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real solutions}[/tex]

[tex]\textsf{when }\:b^2-4ac=0 \implies \textsf{one real solution}[/tex]

[tex]\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real solutions}[/tex]

Given function:

[tex]y=x^2+10x+25[/tex]

Therefore:

Substitute the given values into the discriminant:

[tex]\implies 10^2-4(1)(25)=0[/tex]

As the discriminant equals zero, there is one real solution.

The three sides of the triangles are 11 cm, 22cm, and 44cm.

The perimeter of the triangle can be calculated by the sum of all the three sides of the triangle.

A triangle has a perimeter of 77 cm.

Let the side of the triangle be x, y, and the base z.

One side of the triangle is double the base.

x = 2z

The other side is quadruple the base.

y = 4z

The perimeter

X + y + z = 77

or

2z + 4z + z = 77

7z = 77

z = 11

So, the length of base z is 11 cm.

The other sides as

x = 22

y = 44

Therefore,The three sides of the triangles are 11 cm, 22cm, and 44cm.

Learn more about triangle here;

https://brainly.com/question/15107373

#SPJ1

The absolute value functions that contains the points are:

Here we have the points (-3, 5), (0, 2), and (3, 5). We want to see which ones of the given functions have that points.

To check that, we need to evaluate the functions in the first value of each point and see if the outcome is the second value of the correspondent point.

For example, for the first equation:

The other option that also contains these 3 points is:

f(x) = |-x| + 2

And all the other options can be trivially discarded (by evaluating them).

So the two correct options are:

If you want to learn more about absolute value functions:

https://brainly.com/question/3381225

#SPJ1

Using the giving information, the measure of ∠JPK is 94°

From the question, we are to determine the measure of ∠JPK

From one of the circle theorems,

Angle at the center is twice the angle at the circumference

That is,

∠JPK = 2 × ∠JLK

From the given information,

∠JLK = 47°

∴ ∠JPK = 2 × 47°

∠JPK = 94°

Hence, the measure of ∠JPK is 94°

Learn more on Circle Geometry here: https://brainly.com/question/17074363

#SPJ1

Answer:

0.75

Step-by-step explanation:

Time = D/S

D = 1.4 km

S = 112km/h

Time = 14/1120

=1/80

1/80 × 60 ( 1 hour =60 s)

=0.75 second

Based on the rate that Leon's car uses gas, the time that Leon will stop to get gas is 3:36 pm.

Leon will stop to get gas when the tank is 1/4 full which is:
= 1/4 x 12

= 3 gallons

The rate at which the car uses gas is:

= Gallons used / Time traveled

= 5 / 2

= 2.5 gallons per hour

The number of hours till he has to stop is:

= (12 gallons - 3 gallons) / 2.5

= 3.6 hours

The time that Leon will stop is:

= 12pm + 3.6 hours

= 12 pm  + 3 hours 36 minutes

= 1536 hours

= 3:36 pm

Find out more on calculations involving consumption per hour at https://brainly.com/question/25049845.

#SPJ1

Answer: Growth rate of 5.9%

Step-by-step explanation:

Since 1.059>1, it represents growth.

[tex]1+r=1.059 \\ \\ r=0.059=\boxed{5.9\%}[/tex]

Answer:

True

Step-by-step explanation:

Hello there!

Accuracy refers to a measure of how close an answer (this can also be measurement) to actual or expected value. This is a clear definition which has also been postulated by International Standard of Units (ISO). And therefore the claim above is true.

I hope this helps you.

Have a nice studies.

Answer:

left side:

Range: For all Y inside of Real, y>= -2

Increasing: (-2, inf) For all x inside of Real

Decreasing:(inf, -2)  For all x inside of Real

Right side:

Range: For all Y inside of Real, y<= 1

Increasing: (-1, inf) For all x inside of Real

Decreasing:(inf, 1)  For all x inside of Real

Answer:

2/3(x-6)=6

x-6=6(3/2)

x-6=9

x=9+6=15

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. The correct statement is D.

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

If we draw the graph of the Cohen family, then the graph will look as shown below. Therefore, if we observe the graph of the Cohen family and the graph of the Mason family. Then we will observe that the wheat production of both farms will approach a stable amount as the years pass.

Hence, the correct statement is D.

Learn more about Graph:

https://brainly.com/question/21608293

#SPJ1

Step-by-step explanation:

h = ut - ½gt²

h = 100 (0.01) – 1/2 × 6.4 × (1/100)²

h = 1 – 1/2 × 6.4 × 0.0001

h = 1 – 0.00032

h = 0.99968 ≈ 0.9

Answer:

Step-by-step explanation:

x + x + 36 = 180

2x + 36 = 180

2x = 144

x = 72

The reduced fraction that represents the sales attained is 17/20

The given parameters are:

Expected = $6000

Attained = $5100

The fraction is represented as:

Fraction = Attained/Expected

So, we have:

Fraction = 5100/6000

Divide by 300

Fraction = 17/20

Hence, the reduced fraction is 17/20

Read more about fractions at:

https://brainly.com/question/1622425

#SPJ1

Answer:

34 1/2

Step-by-step explanation:

The sum of the prime integers in the list is 10158.

The numbers that are divisible by 1 or itself is called a Prime Number.

The sum of two prime numbers is not a prime number

The given prime numbers are

197 , 497, 1111 ,2111 , 2643 , 3599

=197+ 497+1111+2111+2643+3599

= 10158

The sum of the prime integers in the list is 10158.

To know more about Prime Number

https://brainly.com/question/9315685

#SPJ1

Answer: [tex]\frac{ML}{MK}[/tex]

Step-by-step explanation:

Corresponding sides of similar triangles are proportional, so since OP corresponds to ML and NP corresponds to MK (since they are opposite the corresponding congruent angles), the answer is ML/MK.

Answer:

and also mark me the brainliest for the answer

Step-by-step explanation:

Answer:

W(2W-19)

Step-by-step explanation:

let length = L

length= L feet

let Width= W

from the question,

twice the width = 2W

then L = 2W-19

the area of the rectangle

Area= length × width

Area= 2W-19×W

Area= 2W^2-19W

Area= W(2W-19)

The set of side lengths that could be the sides of a right triangle must follow the Pythagoras theorem

The rule of the side lengths of a right triangle is:

[tex]c^2 = a^2 + b^2[/tex]

Where c is the length of the longest side, and a and b represent the lengths of the triangle

This in other words mean that:

All right triangles obey the Pythagoras theorem

Note that I gave a general explanation because the question is incomplete

Read more about right triangles at:

https://brainly.com/question/2437195

#SPJ4

This data should be displayed as a Histogram as there are specified into different ranges.

Bar graphs should be chosen only when they are divided into various categories.

Plot the data's in Histogram format like this (range to range):

Answer:

108 cm^2

Step-by-step explanation:

Trapezoid area = (a+b)/2 * h

= (6+12)/2 * 6 = 54 cm^2

Triangle area = b*h/2 = 12* (15-6) / 2 = 54 cm^2

Total area is 54+54 = 108 cm^2

Answer:

Hi,

Step-by-step explanation:

(13,7,4) may not be a triangle since 13 is not little than 7+4=11
(7,10,8,) may be a triangle (7 < 10+8 , 10 < 7+8,  8 < 10+7)

(9,4,4) no since 9 is not < 4+4

(2,8,12) no since 12 is not < 2+8

The only answer is (7,10,8)

Answer: (0,6)

Step-by-step explanation:

Answer:

B. 50%

Step-by-step explanation:

Step by step by me I guess

The solution is , B) 50% of 42 is 300% of 7.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here. we have,

given that,

300% of 7

we have to that is what percent of 42.

now, we know,,

300% of 7 = 300 * 7 /100

[300% is the same as 3. So to find 300% of 7 , 3 times 7 and get 21.]

i.e. 300% of 7 = 3* 7

                       = 21

Now we need to find _% times 42 = 21.

let, it = x

now,

Divide 21/42 to get 0.5.

This is the same thing as 50%.

so, we get,

50% of 42 = 21

i.e. 300% of 7 = 50% of 42

Hence, The solution is , B) 50% of 42 is 300% of 7.

To learn more on percentage click:

brainly.com/question/13450942

#SPJ7

Answer:

7/ Ans;

[tex] \frac{x + 2}{ x + 4} \div \frac{ {x }^{2} - 2x - 8}{ {x}^{2} + 2x - 8} \\ \\ \\ \frac{x + 2}{x + 4} \times \frac{ {x}^{2} + 2x - 8 }{ {x}^{2} - 2x - 8} \\ \\ \\ \frac{x + 2}{x + 4} \times \frac{(x - 2)(x + 4)}{(x - 4)(x + 2)} \\ \\ \\ =1 \times \frac{x - 2}{x - 4} \\ \\ \\ = \frac{x - 2}{x - 4} [/tex]

___o__o__

9/Ans;

[tex] \frac{ {x}^{2} - 9}{ {x}^{2} - 6x + 9} \div \frac{x + 4}{x - 3} \\ \\ \frac{ {x}^{2} - 9 }{ {x}^{2} - 6x + 9} \times \frac{x - 3}{x + 4} \\ \\ \\ \frac{(x + 3)(x - 3)}{(x - 3)(x - 3)} \times \frac{x - 3}{x + 4} \\ \\ \\ = \frac{(x + 3)}{1} \times \frac{1}{(x + 4)} \\ \\ \\ = \frac{x + 3}{x + 4} [/tex]

__o__o__

In the two questions, we first replace the division with multiplication with flipping the fraction after the division sign, secondly we analyze any equation that needs analysis to simplify it, thirdly, to simplify the fraction by deleting the numerator and the similar denominator .