Martin and Eric are preparing to board a roller coaster together and pick their seats. Martin selects a seat first, and then Eric selects one from the available seats.

Are these two events dependent or independent? Justify the answer.

Answer:

Hence doubling the dimension gives a volume greater than doubling the original volume.

Step-by-step explanation:

Given The dimension :

Original dimension : 6 meters by 5 meters by 12 meters

Volume of original dimension :

6 * 5 * 12 = 360 m³

If dimension is doubled :

2 * 6 = 12

2 * 5 = 10

2 * 12 = 24

Volume = (12 * 10 * 24) = 2880 m³

2 * original volume = 2 * 360 = 720 m³

Hence doubling the dimension gives a volume greater than doubling the original volume.

Answer:

Sum of the opposite pair of a cyclic quadrilateral is 180°.

c= 180-102= 78°

c= 180-102= 78°d= 180-92= 88°

 intercepted arc

=>2(102°)= 140+a°

a=64°

Simillarly

=> 2(d°)= a°+b°

b°= 112°

so ....

a=64°

a=64°b=112°

a=64°b=112°c=78°

a=64°b=112°c=78°d=88

hope it helps you ....

Answer: 3

Step-by-step explanation:

Vince will have to buy three cartons of 500 ml each.

An expression in mathematics is a combination of terms both constants and variables.

Given is that every time Vince orders Chinese food, he gets egg drop soup. So, he decides to learn how to make it himself. His recipe calls for 1.5 liters of broth, but he can only find 500 milliliter cartons at the store.

We know that -

1 Liter = 1000 milliliters

1.5 liter = 1500 liters

Now -

1 carton 500 ml.

Then, 1 ml will be in (1/500) carton.

So, 1500 ml will be in (1/500 x 1500) = 3 cartons

Therefore, Vince will have to buy three cartons of 500 ml each.

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Answer:

Variable d represents the time per minute Lilianna spends in the park.

Step-by-step explanation:

Answer:

Number of minutes Lilianna walked

Step-by-step explanation:

Hope this helps!

Answer:

nithen dior becausee full sorry baby

Answer:

52° is correct answer of this question

hope it helps

thanks for free points

Step-by-step explanation:

option a.

38°+x=90°

x=90°-38°

x=52°

Answer:

If there is an expression along with it I'd like to see it to determine if its true or false.

But yes a variable always has a value so im pretty sure its true. Post another question with the expression please or any other information given.

Answer:

formula

Step-by-step explanation:

Answer: I think 3-1x not 100% sure on that one though been a while since I've done this stuff

Step-by-step explanation:

Answer:

mmmmmmmmm

Step-by-step explanation:

why everyone is asking about maths........

I am a ...........

Answer:

the answer is 69.3

Step-by-step explanation:

Answer: (-5, 2). Please mark me brainliest

Step-by-step explanation: So we are finding the coordinates of point A first we have to mark the x-coordinate (-5) so we have to look at the horizontal line (x-coordinate) and the A is an -5 so the first part should be -5 next we have to do the vertical line (y-coordinate) and it is on the 2 so 2 so the answer is (-5,2).

Answer:

Step-by-step explanation:

Sakal and Roy each have a sack of 50 apples.

All apples are either red or green.

Sakal = x

Roy = y

If Sakal has three times as many red apples as Roy does

x = 3y

and half as many green apples as Roy does,

x = 1/2y

how many red apples does Sakal have?

Answer:

does not represent a linear function.

Step-by-step explanation:

For the function to be linear, the slope must be the same for every poknt along the function. If is not, then is not a linear function.

Let us now calculate the slope;

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

We shall take the first two points

[tex]m = \frac{4 - 2}{2 - 1} \\ m = \frac{2}{1} \\ m = 2[/tex]

Next we shall take the 2nd and 3rd points

[tex]m = \frac{8 - 4}{3 - 2} \\ m = \frac{4}{1} \\ m = 4[/tex]

The slope is not the same for these two different point, hence this table does not represent a linear function.

Answer:

i dont know sorry

Step-by-step explanation:

9 because if you divide 414 by 46 you get 9

Answer:

Assuming that the scale is 1, x int: (-4,0), y int: (0,-3)

Step-by-step explanation:

Hope this helps :)

Answer:

1/4

Step-by-step explanation:

Answer:

scale factor = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, that is

scale factor = [tex]\frac{1.5}{6}[/tex] = [tex]\frac{1}{4}[/tex]

Answer:

4(2x - 3) is how I would write it algebraically.

Step-by-step explanation:

The number is x, as it is unknown. 2x means you multiply the unknown number by 2.

2x

Now, you subtract 3.

2x - 3

And then you multiply the result of that by 4, hence the parentheses.

4(2x - 3)

To solve, just distribute 4. 4*2x = 8x. 4*-3 = -12.

8x - 12

Answer:

8x-12

Step-by-step explanation:

(2x-3)* 4 = 8x-12

Answer:

y = 1/2x + 1

Step-by-step explanation:

m = 1/2

Slope-intercept:

y - y1 = m(x - x1)

y - 3 = 1/2(x - 4)

y - 3 = 1/2x - 2

y = 1/2x + 1

Answer:

18.2 m = height of the building

Step-by-step explanation:

Let x = the distance from the top of the girl's head to the top of the building

tan 45 = x/16

x = 16 tan 45

x = 16 m

16 + 2.2 = 18.2 m = height of the building

Answer:

this is the answer bb

Step-by-step explanation:

Answer:

Figure P'Q'R'S' has been dilated by a scale factor = 1.5 to form image quadrilateral P"Q"R"S".

Step-by-step explanation:

From the graph attached,

Coordinates of point T' → (2, -2)

Coordinates of point T'' → (3, -3)

As it's clear form the picture, quadrilateral P'Q'R'S' has been dilated to form the image quadrilateral P"Q"R"S" by a scale factor = k

By the rule,

T'(x, y) → T"(kx, ky)

Therefore, T'(2, -2) → T"(2k, -2k)

T"(2k, -2k) → T"(3, -3)

By comparing x-coordinates,

2k = 3

k = [tex]\frac{3}{2}[/tex]

k = 1.5

Therefore, figure P'Q'R'S' has been dilated by a scale factor = 1.5 to form quadrilateral P"Q"R"S".

Answer:

x^2+3x+2​ = (x+1)(x+2)

Step-by-step explanation:

Answer: $8727- thsi should be the correct answer

Answer:

16

Step-by-step explanation:

5+37= 42. 42 is the distance between the 2.

divide that by 2- 21

then, subtract 5 to get to the midpoint. 21-5= 16

Answer:

Step-by-step explanation:

the total cost for roller skating depends on the number of hours a person skates. which equation represents the relationship btw the cost c and the ...

1 answer

·

20 votes:

To answer this item, we let n be the number of hours that a person spend on th

Answer:    V ( t ) = 1 + 1 4 e − 0 . 1 0 4 t 1 5 , 0 0 0 ​   ​  

The required value for the logistic function describing the scenario of the water tank being filled at a rate of 10.4% per minute.

The logistic function has the form:

[tex]f(x) = L / (1 + a \times e^{(-kx)})[/tex]

Where:

f(x) is the volume of the tank at time x

L is the maximum volume the tank can hold

a is a constant that determines the growth rate of the function

k is a constant that determines the rate at which the growth slows down as the tank approaches the maximum volume

In this case, the maximum volume of the tank is 15,000 gallons, so L = 15,000.

The pump fills the tank at a rate of 10.4% per minute, so k = 0.104.

To find the value of a, we need to solve the logistic equation for a given the values of f(x), L, and k.

We can rearrange the logistic equation to solve for a:

[tex]a = (1 / f(x)) - (1 / L) \times e^{(kx)}[/tex]

Substituting the known values into this equation, we get:

[tex]a = (1 / 1,000) - (1 / 15,000) \times e^{(0.104x)}[/tex]

This equation can be used to solve for the value of a for any given value of x (time). For example, if we want to know the value of an after 10 minutes, we can substitute x = 10 into the equation to get:

[tex]a = (1 / 1,000) - (1 / 15,000) \times e^{(1.04)}[/tex]

This gives us the value of a for the logistic function that describes the scenario of the water tank being filled at a rate of 10.4% per minute.

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Answer:

See Explanation

Step-by-step explanation:

Given

(1) CALL and (2) BARK

Required

Why is the number of arrangement of (1) less than (2)

The reason is that in (1), letter L occurred twice. When there is a repetition of letters, the number of ways of arrangement reduces

For (1)

There are 4 letters and L is repeated twice.

[tex]Arrangement = \frac{4!}{2!}[/tex]

[tex]Arrangement = \frac{24}{2}[/tex]

[tex]Arrangement = 12[/tex]

For (2)

There are 4 letters and no repetition

[tex]Arrangement = 4![/tex]

[tex]Arrangement = 24[/tex]

The reason why the number of ways of CALL is less than the number of ways of arranging the letters of BARK should be explained below.

The reason should be that in (1), letter L occurred twice. At the time When there is a repetition of letters, the number of ways of arrangement decreases.

So here arrangement be like

When there is 4 letters and L is repeated twice.

=4!/2!

= 24/2

= 12

And,

When there is 4 letters and no repetition

= 4!

= 24

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Answer:

El eje horizontal es el Eje de Abscisas y se representa con la letra “x”, el eje vertical es el Eje de Ordenadas y se representa con la letra “y”.

Step-by-step explanation: