what formulas can be used to find a triangular prism

Answer:

16.6

Step-by-step explanation:

In 3.5 hours, a total of 1950 gallons of water will be filled in swimming pool.

The general form of a linear function is given as follows -

y = kx

or

y = kx + c

Given is a swimming pool that holds 10,000 gallons of water is being filled at a rate of 600 gallons per hour. The function h(x)=600x represents the amount of water in the pool after [x] hours.

The linear function that represents the amount of water in the pool after [x] hours is given by -

h[x] = 600x

Now, for x = 3.5, the amount of water in the pool will be -

h[3.25] = 600 x 3.25 = 1950 gallons of water.

Therefore, in 3.5 hours, a total of 1950 gallons of water will be filled in swimming pool.

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The definition of a reflection of rectangle ABCD is option D:

"Every point X on ABCD is mapped to a new point X' such that one coordinate of X' is the same as in X, and the other coordinate of X' is the opposite of the other coordinate in X".

When a reflection occurs, each point on the original shape is mapped to a new location on the reflected shape.

Option A states that every point X on ABCD is mapped to a new point X' such that each length from X to X' is the same. This definition does not capture the essence of a reflection because it doesn't consider the relationship between the original shape and its reflection.

Option B states that every point X on ABCD is mapped to a new point X' such that the distance from X to the line of reflection is the same as the distance from X' to the line of reflection.

Option C states that every point X on ABCD is mapped to a new point X' such that the coordinates of X' are opposites of the coordinates of X.

Option D correctly captures the nature of a reflection. This states that each point X on ABCD is mapped to a new point X' where one coordinate of X' is the same as in X, and the other coordinate of X' is the opposite of the other coordinate in X.

Therefore, option D is the valid definition of a reflection of rectangle ABCD.

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Answer:

10

Step-by-step explanation:

X+x(xx)

X+x(x^2)

X+x^3

2+2^3

10

Answer:

10.

Step-by-step explanation:

2 + 2 x (2x2)

= 2 + 2 x 4

= 2 + 8

= 10

Hope that helped, :)

Answer: IF YOU ARE ON KHAN ACADEMY THE ANSWER IS NOT -1

THE CORRECT ANSWER ON KHAN IS -9/4

For equation 3 + 2y = √(-y) the extraneous solution does Lea obtain is y = (-13 + √97) / 8 or y = (-13 - √97) / 8

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

When Lea squares both sides of the equation 3 + 2y = √(-y), she gets:

(3 + 2y)² = (-y)

Expanding the left side, we get:

9 + 12y + 4y² = -y

Bringing all the terms to one side, we get a quadratic equation:

4y² + 13y + 9 = 0

We can solve this quadratic equation using the quadratic formula:

y = (-b ± √(b² - 4ac)) / 2a

Substituting the coefficients a = 4, b = 13, and c = 9, we get:

y = (-13 ± √(13² - 4(4)(9))) / 2(4)

y = (-13 ± √97) / 8

So the solutions are:

y = (-13 + √97) / 8 or y = (-13 - √97) / 8

Hence, the extraneous solution does Lea obtain is y = (-13 + √97) / 8 or y = (-13 - √97) / 8

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Answer: 4/5 - 2

Step-by-step explanation:

Simply put it into a graphing calculator

Answer: the number of bowss that can be made.

Step-by-step explanation:

You didn't give the options but let me help out.

We are told that Tasnia had a piece of ribbon that was 6 ½ yards long and that she used this ribbon to make bows. We are further told that each bow was made from a piece of ribbon that was ⅓ yard long and that this situation can be represented by the equation 6 ½ ÷ ⅓ = 19 ½.

The quotient gotten above simply means the number of bowss that can be made.

Answer:

y = -2x + 5

Step-by-step explanation:

Parallel lines have the same slope, so the line's slope would be -2.

Because we have a coordinate point and the slope of the line, we can figure out the equation by using the point slope formula:

( y - y1 ) = m( x - x1 )

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

y + 3 = -2x + 8

y = -2x + 5

The equation of the line is y = -2x + 5

Answer:

they would use 2 barrels of flour. or 10/5

Step-by-step explanation:

Answer:

2 barrels

Step-by-step explanation:

Just multiply 2/5 by 5

Hope it helps ^,^

Answer and Step-by-step explanation:

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Hi there! This is what the graph should look like: (Look at the picture attached)

We can see that the solution to the equation is (3, -2) because this is where the lines intersect.

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#teamtrees #WAP (Water And Plant)

Answer:

C

Step-by-step explanation:

Answer:

there are 18 girls

Step-by-step explanation:

for every 2 boys there are 3 girls

so then you can say 2/5 of the class are boys and 3/5 are girls

and you have to calculate 3/5 of 30 so you have to divide 5 and then multiply by 3 so 30 divided by 5 is 6 the n multiply 6 by 3 and the answer is 18.

Hope this helps

Answer:g(x)=-x/2-6

Step-by-step explanation:plug it in

The translation of the question given is

A line that passes through the points A (2,1) and B (6,3) and another line passes through A and through the point (0, y). What is y worth, if both lines are perpendicular?

Answer:

y = 5

Step-by-step explanation:

Line 1 that passes through A (2,1) and B (6,3)  

Slope (m1) = 3-1/6-2 = 2/4 = 1/2

y - 1 = [tex]\frac{1}{2}[/tex] ( x -2)

2y - 2 = x- 2

y = [tex]\frac{x}{2}[/tex]

Line 2 passes through A (2,1) and (0,y)

slope (m2) =[tex]\frac{y-1}{-2}[/tex]

Line 1 and Line 2  are perpendicular

m1*m2 = -1

[tex]\frac{1}{2}[/tex]  * [tex]\frac{y-1}{-2}[/tex] = -1

y-1 = 4

y = 5

slope = -2

Equation of Line 2

Y-1 = -2(x-2)

y -1 = -2x +4

2x +y = 5

Answer:

Y-intercept (0,1) / Domain (-infinite,infinite) / horizontal asymptote y=0

The y-intercept is: (0,1)

The domain is [tex]\{x|-\infty < x < \infty\}[/tex]

The horizontal asymptote is [tex]y = 0[/tex]

The given parameters from the complete question are:

[tex]f(x) = 2^{x-2}[/tex]

[tex]g(x) = f(x + 2)[/tex]

First, we calculate the function of g(x)

[tex]g(x) = f(x + 2)[/tex]

Calculate f(x + 2)

[tex]f(x) = 2^{x-2}[/tex]

[tex]f(x + 2) = 2^{x+2-2}[/tex]

[tex]f(x + 2) = 2^x[/tex]

So:

[tex]g(x) = 2^x[/tex]

Start by calculating the y intercept:

This means, we calculate the g(x) when [tex]x=0[/tex]

[tex]g(x) = 2^x[/tex]

[tex]g(0) = 2^0[/tex]

[tex]g(0) =1[/tex]

The above computation means (a) is incorrect; but (e) is correct.

Next, calculate the domain of g(x)

[tex]g(x) = 2^x[/tex]

Some features in a function that limit the x values are: roots, fractions, etc.

[tex]g(x) = 2^x[/tex] does not have any restricting value of x.

This means the value of x ranges from negative infinity to positive infinity.

Hence, the domain is: [tex](-\infty,\infty)[/tex]

The above computation means (b) is correct

Next, calculate the horizontal asymptote.

To do this, we plot the graph of g(x) --> see attachment

Then we trace a horizontal line from the horizontal part of the curve of g(x) till it gets to the y-axis.

From the attached graph of g(x), the line touches the y-axis at [tex]y = 0[/tex]

So, the horizontal asymptote is: [tex]y = 0[/tex]

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See attachment for answer.

The answer is -93/5.

Answer:

cityQ

Step-by-step explanation:

City Q is located at the sea level

The statement that should be true is

City P is above sea level and City Q is below sea level.

The word "number line" in mathematics refers to a straight line where a number should be positioned at similar intervals or segments along with its length.

Given:

The point 0 on the number line represents sea level.

As, It should be presented in a horizontal style and be infinitely in any direction.

As a result, option c should be the statement that is true. City Q is below sea level, but City P is above it.

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Answer:

-60+87d

     or

87d-60

Step-by-step explanation:

-3(20+-29d)=

-60+87d

Answer: $20.00

Step-by-step explanation:

Answer:

When rounded the answer will be $20.00.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

if u round 7.79 it will be 8 because 7 is greater than 5

Answer:

55/15-9/15=46/15 or 3 1/15

Step-by-step explanation:

Answer:

46/15  or  3 1/5

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

2x+10=6(x-1)

2x+10=6x-6

10=6x-2x-6

10=4x-6

16=4x

4=x

Answer:

11x+12

Step-by-step explanation:

combine like terms

Answer:a sq+ b sq= c sq

Step-by-step explanation: add a and b and the answer is c

Answer:

1) The download speed for AT&T is 1,800

2) The download speed for Bidmore is 1,500

3) The download speed for Comcast is 1,680

4) AT&T has the best download speed out of the three.

5) They will go through the origin and be a proportional line.

Step-by-step explanation:

Answer:

-72 is the answer.........

Answer: Around 584 people would have to get a haircut at 30$, if you are looking for 17,510$

Step-by-step explanation: