Evaluate the rational expression. Express your answer as an integer, simplified fraction, or a decimal rounded to two decimal places. If the expression does not represent a real number, indicate not a real #.​

Answer:

a=270cm^2

Step-by-step explanation:

a= HbB/2

18×30/2

270cm^2

Answer:

Area =(H×B)÷2

=(18x30)÷2

=54O ÷2

=27O

Answer:

Step-by-step explanation:

Given function:

h(t) = 0 will give us the y-intercept of the graph. The greater value of t is the time the weight in the air

Maximum height is reached at vertex.

The x coordinate of the vertex is determined as x = -b/(2a), considering the standard form of a quadratic function f(x) = ax² + bx + c

Answer:

53

Step-by-step explanation:

Range is found by subtracting the largest number in a set by the smallest number.

Set: {12, 32, 34, 45, 65}

Largest number: 65

Smallest number: 12

65 - 12 = 53

hope this helps and is right :)

Answer:

10 + x/6

Step-by-step explanation:

10 + x/6 represents this phrase

Answer:

0

Step-by-step explanation:

f(x)=1/4x-3

f(12)=(1/4 times 12) -3

f(12)=(3)-3

0

Step-by-step explanation:

To find the space a figure takes, we need to find the volume. Volume of a rectangular prism can be found by multiplying the length, width, and height of the figure.

We can start with the green block. The dimensions of this figure are 6cm, 3cm, and 3cm. The 5cm at the bottom is not a dimension of the green figure. Instead, it shows the total width of both blocks. We will use this later.

Back to the first block, we will find its volume by multiplying its dimensions together.

3 · 3 · 6 = 54

So, the volume of the first block is 54 cm³.

To this, we will add the volume of the blue block. We can find its dimensions with some simple deduction.

The picture shows that the height of the figure is 4cm less than the height of the green one, 6cm.

6 - 4 = 2

The height, then, is 2cm.

The width can be found by subtracting the width of the green block from the total width of both figures, 5cm.

5 - 3 = 2

So, the width is also 2cm.

We can see that the length of the blue block is equal to that of the green one, so we know that the length is 3cm.

Now, multiply all the dimensions we have found together.

2 · 2 · 3 = 12

The volume of the blue block is 12cm³.

We have found the volumes of both figures, so now we can add them both together to find the total.

54 + 12 = 66

So, the total volume is 66cm³.

I hope this was a satisfactory explanation ^^ Good luck, mate

Answer:

(f + g)(x) = – 3x^2 + 5x - 8

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

= 5x^2 + 9x – 4 + (– 8x^2 – 3x – 4)

= 5x^2 + 9x – 4 – 8x^2 – 3x – 4

Combine

= – 3x^2 + 5x - 8

The sum of the given functions is defined as the expression (f + g)(x) which is equal to -3x²  + 6x  – 8.

Use the concept of quadratic function defined as:

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:

ax² + bx + c = 0

The given functions are:

f(x) = 5x² + 9x – 4

g(x) = – 8x² – 3x – 4

Since (f + g)(x) = f(x) + g(x)

Then put the functions,

(f + g)(x) = (5x² + 9x – 4) + ( – 8x² – 3x – 4)

Rearranging like terms,

(f + g)(x) = 5x²– 8x²  + 9x – 3x – 4  – 4

Simplifying it,

(f + g)(x) = -3x²  + 6x  – 8

Hence,

The expression for (f + g)(x) is -3x²  + 6x  – 8.

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Answer:

C

Step-by-step explanation:

A and B are not straight lines, so they are not linear functions.

C and D are straight lines, so they are linear. However, D fails the vertical line test, so it is not a function.

C and D are straight lines, they are linear. Then the linear graphs are represented by options C and D.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

A linear equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

A and B are not straight lines, they are not linear functions. Therefore,

C and D are straight lines, they are linear. Then the linear graphs are represented by options C and D.

To know more about graphs follow

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Answer:

A. 45

Step-by-step explanation:

Answer: A. 45

Step-by-step explanation:

In the y=mX+b formula the number by itself with no variable or b is the y-intercept.

Answer:

We aren't going to do all your homework for you. That's why no one is answering. If you have one specific question, I can help

Step-by-step explanation:

. No one is going to do this whole assignment/homework.

Answer:

The ordered pair is: [tex](\frac{7\sqrt{3}}{2},\frac{5\sqrt{3}}{2})[/tex]

Step-by-step explanation:

We are given the following plane curve:

[tex]x = 7 \cos{t}[/tex]

[tex]y = 5 \cos{t}[/tex]

Ordered pair for a value of t:

We find (x,y) for these values of t. So, when [tex]t = \frac{\pi}{6}[/tex]

[tex]x = 7 \cos{\frac{\pi}{6}} = 7\frac{\sqrt{3}}{2} = \frac{7\sqrt{3}}{2}[/tex]

[tex]y = 5 \cos{\frac{\pi}{6}} = 5\frac{\sqrt{3}}{2} = \frac{5\sqrt{3}}{2}[/tex]

The ordered pair is: [tex](\frac{7\sqrt{3}}{2},\frac{5\sqrt{3}}{2})[/tex]

Answer:

x = -5

Step-by-step explanation:

2/3x - 1/2 = 1/3 + 5/6x

add 1/2 to each side of the equation:

2/3x = 5/6 + 5/6x

subtract 2/3x from both sides:

0 = 5/6 + 1/6x

subtract 5/6 from both sides:

1/6x = - 5/6

multiply both sides by 6:

x = -5

Answer:

It will measure 30°. I hope it helps you

Answer:

A) A dilation by a scale factor of 2, centered at the origin, followed by a 180° clockwise rotation about the origin.

Step-by-step explanation:

a dilation by a scale factor of 2, centered at the origin will double its size and move point A from (-2,2) to (-4,4). Then the clockwise rotation of 180° degrees will rotate the figure so that it's point A (now called point D) will be at (4,-4).

Answer:

a pex

Step-by-step explanation:

Answer:

$15943.23

Step-by-step explanation:

each day the total of the day before is multiplied by 3 so if you do that for 14 days you will get the answer

Answer:

2,391,4.84 dollars

Step-by-step explanation:

1,    3  ,    9...

on the 1st day, 3^0

on the 2nd day, 3^1

on the 3rd day, 3²

:

one the 14th day, 3^(14-1)

=> 3^13

=> 1,594,323

"Total about of money" => have to add up the money from the 1st day to the 14th day:

1 + 3 + 9 + 27 + 81 + 243 + 729 + 2187 + 6561 + 19683 + 59049 + 177147 + 531441 + 1594323 = 2,391,484

9514 1404 393

Answer:

  107°

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary.

  X = 180° -Q

  X = 180° -73° = 107°

Answer:

57.99 °

Step-by-step explanation:

[tex]tan( x ) = \frac{16}{10} \\ x = arctan( \frac{16}{10} ) \\ x = 57.99 \: degrees[/tex]

Answer:

3) 57.99°

Step-by-step explanation:

16 is opposite of x° and 10 is adjacent to x°. Therefore, you use tangent because of SOHCAHTOA.

tan(x°)=opposite/adjacent

tan(x°)=16/10

tan⁻¹(tan(x°))=tan⁻¹(16/10)

x°=57.99461679°=58°

So the closest choice is 3) 57.99°

Answer: In my opinion B. 0.005 is the correct answer

Step-by-step explanation:

Answer:

Z scores between -0.995 and 0.995 bound the middle 68% of the area under the stanrard normal curve

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Middle 68%

Between the 50 - (68/2) = 16th percentile and the 50 + (68/2) = 84th percentile.

16th percentile:

X when Z has a pvalue of 0.16. So X when Z = -0.995

84th percentile:

X when Z has a pvalue of 0.84. So X when Z = 0.995.

Z scores between -0.995 and 0.995 bound the middle 68% of the area under the stanrard normal curve

D. Melinda's account will have about $84.17 more than Olivia's account.

Answer:

Olivia  275.4 and Melinda 360

Step-by-step explanation:

Olivia 1,530 x .06 = 91.8

91.8 x 3 = 275.4

Melinda 1,500 x .08 = 120

120 x 3 = 360

plz mark brainleist

50 millimeters

keystrokes

Answer:

This is a standard notation used by many computer programs including Excel. Entering a value in this form is not the same as entering the logarithm of a number. This is simply a shortcut way to enter very large values, or tiny fractions, without using logarithms.

Step-by-step explanation:

Answer:

Michelle's position below the surface of water = 53 meter below water level

Step-by-step explanation:

Given:

Chris position in water = 40  meters below the surface of water

Michelle drive more than 13 meter below from Chris

Find:

Michelle's position below the surface of water

Computation:

Michelle's position below the surface of water = Chris position in water + Extra dive then Chris

Michelle's position below the surface of water = 40 meter + 13 meter

Michelle's position below the surface of water = 53 meter below water level