help me please !!!!!!!

It would take 2 hours for both trains traveling to be 310 km apart

An equation is an expression that shows how two numbers and variables are related using mathematical operations such as addition, subtraction, exponent, division and multiplication.

Let us assume that both trains travel for t hours before they are 405 km apart.

A train travels north at 65 km/h

Distance = Speed * time

Distance travelled North = 65 * t = 65t

Another train travels south at 90 km/h

Distance = Speed * time

Distance travelled south = 90 * t = 90t

They are 310 km apart, hence:

65t + 90t = 310

155t = 310

t = 2 hours

It would take 2 hours

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The Amy has 42 books, Betty has 36 books, and Carol has 18 books.

Let's set up equations to represent the given information:

Let A represent the number of books Amy has.

Let B represent the number of books Betty has.

Let C represent the number of books Carol has.

Let's say Amy has x books.

Betty has 6 books less than Amy, so Betty has (x - 6) books.

Carol has half as many books as Betty, so Carol has (x - 6)/2 books.

According to the problem, the total number of books they have is 96.

So, we can write the equation:

x + (x - 6) + (x - 6)/2 = 96

To solve the equation, we can simplify it by multiplying through by 2 to remove the fraction:

2x + 2(x - 6) + (x - 6) = 192

2x + 2x - 12 + x - 6 = 192

5x - 18 = 192

5x = 210

x = 42

Amy has 42 books.

Betty has (42 - 6) = 36 books.

Carol has (36)/2 = 18 books.

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Answer:

B. F(x) = 3(x - 2)² - 2

Step-by-step explanation:

→The function F(x) narrowed, meaning the absolute value being multiplied to the function is greater than 1.

→The function F(x) flipped over the x-axis, this means that the number being multiplied has to be a negative.

→The function F(x) shifted to the left 2 units, this means there needs to be a 2 being added.

→The function F(x) shifted downwards 2 units, meaning there needs to be a 2 being subtracted from the whole function.

This gives us the correct answer of "B. F(x) = 3(x - 2)² - 2."

Answer:

Yeppers Peppers. (That means yes)

Step-by-step explanation:

You did a good job on that. Good work!

The number 100 would land in column 2

Given that we have the array of numbers

The length of each row in the array is 7

Dividing 100 by 7, we have

100/7 = 14 Remainder 2

This means that

Column = 2

In (a), we have

100/7 = 14 Remainder 2

This means that

Row = 14

Here, we have

The length of each row in the array is 6

Dividing 100 by 6, we have

100/6 = 16 Remainder 3

So, the location of 100 in rows of 6 numbers is row 16 and column 3

Let the length of each row in the array be n

Dividing 100 by n, we have

100/n = q Remainder r

This means that the location of 100 in rows of n numbers is row q and column r

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Answer:

484

Step-by-step explanation:

22^2 is equal to 22*22 which is 484

Joey's actual speed is 143.59 mph, and his actual direction is slightly west of northwest.

Given that Joey's aircraft speed: 188 mph

Wind speed: 60 mph

Wind direction: 150 degrees (measured clockwise from due north)

We can consider the wind as a vector, which has both magnitude (speed) and direction.

The wind vector can be represented as follows:

Wind vector = 60 mph at 150 degrees

We convert the wind direction from degrees to a compass bearing.

Since 150 degrees is measured clockwise from due north, the compass bearing is 360 degrees - 150 degrees = 210 degrees.

Joey's aircraft speed vector = 188 mph at 0 degrees (due northwest)

Wind vector = 60 mph at 210 degrees

To find the resulting velocity vector, we add these two vectors together. This can be done using vector addition.

Converting the wind vector into its x and y components:

Wind vector (x component) = 60 mph × cos(210 degrees)

= -48.98 mph (negative because it opposes the aircraft's motion)

Wind vector (y component) = 60 mph×sin(210 degrees)

= -31.18 mph (negative because it opposes the aircraft's motion)

Now, we can add the x and y components of the two vectors to find the resulting velocity vector:

Resulting velocity (x component) = 188 mph + (-48.98 mph) = 139.02 mph

Resulting velocity (y component) = 0 mph + (-31.18 mph) = -31.18 mph

Magnitude (speed) = √((139.02 mph)² + (-31.18 mph)²)

= 143.59 mph

Direction = arctan((-31.18 mph) / 139.02 mph)

= -12.80 degrees

The magnitude of the resulting velocity vector represents Joey's actual speed, which is approximately 143.59 mph.

The direction is given as -12.80 degrees, which indicates the deviation from the original northwest direction.

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Given:

Answer: Yes maybe for about 3-4 days then they will fall off

Step-by-step explanation: my little sis did it

Answer:

$200.33

Step-by-step explanation:

Total amount paid = $222.36

Wrapping charge = $4

Sales tax = 9%

The price would be:

Cost + sales tax amount = (Total amount paid - wrapping charge)

Cost + sales tax amount = (222.36 - 4)

Cost + sales tax = 218. 36

Subtracting the sales tax :

Let cost = x

x + 0.09x = 218. 36

1.09x = 218.36

x = 218.36 / 1.09

x = $200.33

Answer:

-20x

Step-by-step explanation:

Let the number be x.

The product of -4 and this number is -4x.

5 times this is 5(-4x), which simplfiies to -20x.

Answer:

System A: x = 2, y = 1

Points: (2, 1)

System B: x= 2, y = 1

Points: (2, 1)

Step-by-step explanation:

Answer:

1. C

2. D

3.C

4.A

i think thats the answer.!

Answer: Shade 6 pieces

Step-by-step explanation:

Because 2/5 of 15 is 6

Answer

A - 30

B - 70

C - 30

D - 120

E - 30

Step-by-step explanation:

This is off the top of my head

Answer:

4

Step-by-step explanation:

the 16 percent of 25 is 4.

Answer:

4

Step-by-step explanation:

16 percent of 25 is 4

so he paid 4 dollars tax

hope this helps...

Answer:

1) both

2) Yes. It is appropriate to conclude that the health of the student affects ability to taste.

Step-by-step explanation:

Random Sampling  is done when each element of the sample has equal probability of being chosen. In both the samples of healthy and runny nose students each student has equal probability of being tested.

Random Assignment is one in which there is a control group and experimental group. The control group contains all the participants and each participant has the equal probability of being placed in the experimental group. For example in this experiment each student has equal probability of being tested with the given chocolate bar.

2) Yes. It is appropriate to conclude that the health of the student affects ability to taste.

the probability of success in healthy student is 78/154= 0.5065 = 50.65%

the probability of success in runny nose student is 44/118= 0.3729 = 37.29%

From this we see the probability of success is more in healthy students as compared to runny nose students

50.65> 37.29

Therefore it is appropriate to conclude that the health of the student affects ability to taste.

Answer:

22/5*8/3

176/15

yep that's it

I think..

To find the value of (f o g)' at a given value, you first need to understand the concept of composite functions and the chain rule of differentiation. Let's break it down step by step.

To find the value of (f o g)' at a given value, you need to evaluate g(x) and f(x), find their derivatives, and use the chain rule to find the derivative of (f o g) at the given value. It is important to understand the concepts of composite functions and the chain rule to be able to solve problems involving these concepts.

What are composite functions? Composite functions are functions that are formed by composing two or more functions. The notation used to denote composite functions is (f o g)(x), which means that the output of function g is used as the input for function f. In other words, we first evaluate g(x), and then use the result as the input for f(x).

What is the chain rule of differentiation? The chain rule of differentiation is a method used to find the derivative of composite functions. It states that if a function is composed of two or more functions, then its derivative can be found by taking the derivative of the outer function and multiplying it by the derivative of the inner function.

To find the value of (f o g)' at a given value, we need to follow these steps:1. Find g(x) and f(x)2. Find g'(x) and f'(x)3. Evaluate g(x) at the given value4. Use the chain rule to find (f o g)' at the given value

step 1: Find g(x) and f(x)Let's say that we have two functions: g(x) = x^2 + 3x + 1 and f(x) = sqrt(x). To find (f o g)(x), we first need to evaluate g(x) and then use the result as the input for f(x). Therefore, (f o g)(x) = f(g(x)) = sqrt(x^2 + 3x + 1)

Step 2: Find g'(x) and f'(x)To find g'(x), we need to take the derivative of g(x) using the power rule and the sum rule. Therefore, g'(x) = 2x + 3To find f'(x), we need to take the derivative of f(x) using the power rule and the chain rule. Therefore, f'(x) = 1/2(x)^(-1/2)

Step 3: Evaluate g(x) at the given valueSuppose we want to find (f o g)' at x = 2. To do this, we need to first evaluate g(x) at x = 2. Therefore, g(2) = 2^2 + 3(2) + 1 = 11

Step 4: Use the chain rule to find (f o g)' at the given value now we can use the chain rule to find (f o g)' at x = 2. Therefore, (f o g)'(2) = f'(g(2)) * g'(2) = 1/2(11)^(-1/2) * (2)(3) = 3/sqrt(11)

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Answer:

3/10

Step-by-step explanation:

4+6+10

=20

6/20

=3/10

Answer:

The answer depends on the shape of the trapezoid...

Step-by-step explanation:

A trapezoid is a 4-sided flat shape with straight sides that has a pair of opposite sides parallel. (trapezium)

Area = (a+b/2) * h

IF the sides are a = 3 ,b = 3 and height  = 4

THEREFORE:

(3+3/2) * 4

6/2 * 4

3 * 4

12

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Answer:

NOOO OYU TYPE INTHE ANSWER

Step-by-step explanation:

9514 1404 393

Answer:

  6.0 m

Step-by-step explanation:

The desired length is the hypotenuse of a right triangle with legs 5.1 m and 3.2 m. The Pythagorean theorem tells you that length (in meters) is ...

  length = √(5.1^2 +3.2^2) = √36.25

  length ≈ 6.0208 . . . . meters

The plank of wood is about 6.0 meters long.

Answer:

1/6

Step-by-step explanation:

A cube has six sides

Six probable outcomes

rolling a 2 can only happen on 1 of those outcomes

so 1/6

Answer:

1/6

Step-by-step explanation:

The Answer is 1/6

We need to find the simulations which don't have any 0, 1, 2, or 3. These simulations are: 459 444 858 955. Then, the number of simulations there was an on-time departure for all three flights is 4.