Simón y Carlos tienen una pista de autos iguales, pero cada uno de ellos tiene dos autos que corren a distintas velocidades. De los autos de Simón uno le da una vuelta completa a la pista en 31 segundos y el segundo lo hace en 17 segundos. De los autos de Carlos uno da una vuelta completa en 36 segundos y el segundo en 42 segundos. Proponen una competencia en la que todos los autos salen al mismo tiempo de la meta y el ganador será el primero en el que sus dos autos lleguen al mismo tiempo, de nuevo a la meta. ¿Quién ganará?

Answer:

2nd option

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

P (- 8, 1 ) → P' (- 8, - 1 )

Q (- 6, - 8 ) → Q' (- 6, 8 )

R (4, - 3 ) → R' (4, 3 )

Answer:

$14

Step-by-step explanation:

3.50/2= 1.75

1.75*8= 14

Step-by-step explanation:

the slope = (1-11)/(-1-4) = -10/(-5) = 2

the equation is : y -11 = 2(x-4)

=> y -11 = 2x -20

y = 2x -8 +11

y = 2x +3

other forms :

<=> 2x - y = -3

<=> 2x - y + 3 = 0

Answer:

[tex] \blue{A = 24~ft^2} [/tex]

Step-by-step explanation:

This figure is a trapezoid with bases of 10 ft and 6 ft and height of 3 ft.

[tex] A = \dfrac{b_1 + b_2}{2}h [/tex]

[tex] A = \dfrac{10~ft + 6~ft}{2} \times 3~ft [/tex]

[tex] \blue{A = 24~ft^2} [/tex]

Answer:

f = 1​

Step-by-step explanation:

7f-1=6​

Add 1 to each side

7f-1+1=6+1

7f = 7

Divide each side by 7

7f/7 = 7/7

f = 1​

Answer:

3rd option

Step-by-step explanation:

The equation of a line in point slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

Given

y - 4 = [tex]\frac{1}{4}[/tex] (x - 8)

with m = [tex]\frac{1}{4}[/tex] and (a, b) = (8, 4 )

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept ) , then

y = [tex]\frac{1}{4}[/tex] x + c ← is the partial equation

To find c substitute (8, 4) into the partial equation

4 = 2 + c ⇒ c = 4 - 2 = 2

y = [tex]\frac{1}{4}[/tex] x + 2 ← equation in slope- intercept form

Answer:

0.30(5)

the 5 is repeating

Step-by-step explanation:

calculator

Answer:

B

Step-by-step explanation:

There is a negative correlation. The direction of a line if we plot it generally through thi scatter plot would be going down, negative.

Answer:

Negative Correlation

Step-by-step explanation:

Because the graph shows that the y axis is on 4 and then goes down to 2

Answer:

The answer is Credit union

Step-by-step explanation:

Answer:

graph "B"

at 0 graph = -1200 that is the production cost

Step-by-step explanation:

Answer:

(1,0)&(0,-3)

Step-by-step explanation:

might be not sure..

The measure of the angle x will be 65°. Then the correct option is B.

Corresponding angle – If two lines are parallel, then the third line. The corresponding angles are equal angles.

Linear angle – If the total of two angles is 180 degrees, they are said to be linear angles.

Let y be the corresponding angle of x and linear pair of 115°.

∠y + 115° = 180°

         ∠y = 65°

Then the angle y and angle x are corresponding angles. Then we have

∠x = ∠y

∠x = 65°

Then the correct option is B.

The complete question is given below.

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ2

Answer: 65

Step-by-step explanation:

Answer:

1/2 has two solutions for 5x

Step-by-step explanation:

But if you add 2pi, 4pi, 6pi, 8pi to the solutions then divide by 5, you get 10 solutions for x

Answer:

Step-by-step explanation:

Since there's no one one number you can add to one number in the sequence to get to the next number, this is not arithmetic. It must be geometric. We need then to find the common ratio. Let's start with the first 2 numbers, find a ratio, and then use it to test for accuracy.

10x = 15 and

x = [tex]\frac{15}{10}=\frac{3}{2}[/tex] If this is in fact a geometric sequence witha common ratio of 3/2, we should be able to multiply 15 by 3/2 to get to the next number in the sequence. Let's try it out:

[tex]15(\frac{3}{2})= \frac{45}{2}=22.5[/tex] Good. So the common ratio is 3/2. The formula for an explicit geometric formula is

[tex]A_n=a_1(r)^{n-1[/tex] where a1 is the first number in the sequence and r is the common ratio. Filling in:

[tex]A_n=10(\frac{3}{2})^{n-1[/tex]

Answer:

$34,341

Step-by-step explanation:

Given :

Job Salary Percent of Employees Entry 23,264 60% 47,480 38% 117,027 2%

To obtain the best value for the mean salary ; we obtain the weighted average ;

Σ(salary * weight factor) / Σ weight

[(23264 * 0.60) + (47480 * 0.38) + (117027 * 0.02)] ÷ (0.60 + 0.38 + 0.02)

= 34341.34 / 1

Average salary = 34341.34

= $34,341 ( nearest dollar)

Answer:

D

Step-by-step explanation:

30-60-90

Hypotenuse = 26

one side is half.

the other side is 1/2[tex]\sqrt{3}[/tex]

Answer:

Confidence Interval - 2.290 < S < 2.965

Step-by-step explanation:

Complete question

A chocolate chip cookie manufacturing company recorded the number of chocolate chips in a sample of 50 cookies. The mean is 23.33 and the standard deviation is 2.6. Construct a 80% confidence interval estimate of the standard deviation of the numbers of chocolate chips in all such cookies.

Solution

Given  

n=50

x=23.33

s=2.6

Alpha = 1-0.80 = 0.20  

X^2(a/2,n-1) = X^2(0.10, 49) = 63.17

sqrt(63.17) = 7.948

X^2(1 - a/2,n-1) = X^2(0.90, 49) = 37.69

sqrt(37.69) = 6.139

s*sqrt(n-1) = 18.2

[tex]s\sqrt{\frac{n-1}{X^2 _{(n-1), \frac{\alpha }{2} } }[/tex] [tex]\leq \sigma \leq s\sqrt{\frac{n-1}{X^2 _{(n-1), 1-\frac{\alpha }{2} } }[/tex]

confidence interval:

(18.2/7.948) < S < (18.2/6.139)

2.290 < S < 2.965

Answer:

KINDLY CHECK EXPLANATION

Step-by-step explanation:

The triangle Given is right angled :

Hence, the sum of the two angles = 90°

Hence, 2x + (x + 15) = 90

2x + x + 15 = 90

3x = 90 - 15

3x = 75

x = 75 / 3

x = 25

2x = 2 * 25 = 50

(x + 15) = 25 + 15 = 40

Hence, largest angle = angle Y

Largest side = side opposite largest angle = AD

smallest angle = (x + 15) = 40

Smallest side = side opposite smallest angle = AY

Answer:

so to do this we basicely just go through and substitute the anser in and see if it works.

60+10=70

60-10=50

NO

50+20=70

50-20=30

RIGHT

so the answer is the second one

Answer:

f(x) = x^2 - 3x + 1.

Step-by-step explanation:

If the roots of this polynomial are 1 and 2, the corresponding factors are (x - 1) and (x - 2).  Multiplying, we get

f(x) = (x - 1)(x - 2) = x^2 - 3x + 1

The polynomial of least degree with roots 1 and 2 is f(x) = x^2 - 3x + 1.

Answer:

2 [tex]ft^{3}[/tex]

Step-by-step explanation:

volume of a cuboid = length * breadth * height

= 2*1*1

=2 [tex]ft^{3}[/tex]

Answer:

The volume of container is 2 ft ³.

Step-by-step explanation:

We have,

We have Formula, Volume of Cuboid.

[tex] \small \sf \mapsto \: Volume = length × breadth × height[/tex]

substitute the values

[tex] \small \sf \mapsto \: Volume = 1 ft × 1 ft × 2 ft[/tex]

multiply the values

[tex] \small \sf \mapsto \: Volume = 2 \: ft {}^{3} [/tex]

Hence, the volume of container is 2 ft ³.

Step-by-step explanation:

Let x be the number

6+4x=42

4x=36

x=9

!!!!!!!

first ,length(l)=14 feet,

bredth(b)=6feet.

now, perimeter = 2(l+b)

=2(14+6)

= 2×20

= 40 feeet

Hope this helps you....

Answer:

-2

Step-by-step explanation:

1. reduce the numbers by taking out the greatest common factor which is 9.

2. taking out 9 leaves you with [tex]-8[/tex] multipied by 1/4

Answer:

-2

Step-by-step explanation:

[tex](-\frac{8}{9} )[/tex] ÷[tex](\frac{4}{9})[/tex]

changing division sign to multiplication and doing reciprocal

[tex]-\frac{8}{9}*\frac{9}{4}[/tex]

9 and 9 gets cancel so,

[tex]-\frac{8}{4}[/tex]

4 divides 8 exactly by 2 and keep minus sign as it is

-2

Answer:

24/65

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

edge 2023

Answer:

√61

Step-by-step explanation: