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The value of the width is 13.5 cm which is the correct answer would be option (C).

The volume of the rectangular prism is the product of the base area and the height.

Given that the volume of a rectangular prism is 6,142.5 cm³. The height is 16.25 cm and the length is 28 cm

The volume of the rectangular prism

V = Length × Width × Height

6,142.5 = 28 × Width × 16.25

Apply the multiplication operation,

6,142.5 = 455 × Width

Width = 6,142.5 / 455

Apply the division operation, and we get

Width = 13.5 cm

Hence, the value of the width is 13.5 cm.

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Draw the graph of x-axis which is lesser than 5 .

What is  Graph inequality ?

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The probabilities that have been calculated here are:

The probability that he is a smoker = 0.08 + 0.16

= 0.24

The given probability that has been calculated is 0.24.

The probability that he does not have lung disease = 0.16 + 0.73

= 0.89

The probability that he has lung disease given that he is a smoker

= 0.08 / 0.08 + 0.16

= 0.08 / 0.24

= 0.333

The probability here is calculated to be 0.333

The probability that he has lung cancer given that he does not smoke

= 0.03 / 0.03 + 0.73

= 0.03 / 0.76

= 0.0395

The given probability here is 0.0395

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On comparing the given expressions we get-

[tex]9^{-2} < (\frac{1}{9}) ^{-1}[/tex]

[tex](\frac{1}{9}) ^{-1} < (\frac{1}{9}) ^{-2}[/tex]

[tex]9^{-1} > 9^{-2}[/tex]

Here, we are given 3 pairs of expression. Let us evaluate them one by one.

[tex]9^{-2}[/tex] _ [tex](\frac{1}{9}) ^{-1}[/tex]

The negative exponent means that the base is the reciprocal raised to a positive power. Thus, [tex]9^{-2}[/tex] can be written as- [tex](\frac{1}{9}) ^{2}[/tex] = 1/81

similarly, [tex](\frac{1}{9}) ^{-1}[/tex] can be written as- [tex](9}) ^{1}[/tex] = 9

Thus, the expression becomes-

1/81 _ 9

clearly we can see that 1/81 < 9

Now, we have [tex](\frac{1}{9}) ^{-1}[/tex] _ [tex](\frac{1}{9}) ^{-2}[/tex]

As shown above, the expression can be simplified as-

[tex](9) ^{1}[/tex] _ [tex](9) ^{2}[/tex]

9 _ 81

clearly we can see that 9 < 81

Next, we have- [tex]9^{-1}[/tex] _ [tex]9^{-2}[/tex]

we can write this as-

1/9 _ 1/81

Clearly, 1/9 > 1/81

Hence, we have solved the given inequalities.

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Answer:

Discriminant = 9.

Step-by-step explanation:

Discriminant

[tex]\boxed{b^2-4ac}\quad\textsf{when}\;ax^2+bx+c=0[/tex]

[tex]\textsf{when $b^2-4ac > 0 \implies$ two real roots}.[/tex]

[tex]\textsf{when $b^2-4ac=0 \implies$ one real root}.[/tex]

[tex]\textsf{when $b^2-4ac < 0 \implies$ no real roots}.[/tex]

Given function:

[tex]x^2+x-2=0[/tex]

Therefore:

Substitute the values of a, b and c into the discriminant formula:

[tex]\begin{aligned} \implies b^2=4ac&=(1)^2-4(1)(-2)\\&=1-4(-2)\\&=1+8\\&=9\end{aligned}[/tex]

Therefore, the discriminant of the given function is 9.

As the discriminant is greater than zero, this implies that there are two real roots.

Let f(x) be a function; thus, the reflection across the y-axis of f(x) is given by f(-x).

Therefore, in our case,

Simplifying,

Thus, the answer is g(x)=x^3-8x^2+9x+11, the first option (top to bottom).

Given the following expression:

You need to follow the steps shown below in order to solve the exercise:

1. Since you know the value of "x", you must substitute it into the given equation:

2. Now you must solve the multiplication:

3. Finally, you need to solve the addition in order to find the value of the expression. Therefore, you get that the result is the following:

The answer is:

Albert floating in hot air balloon and Isabelle standing at ground are 29 meters far apart from each other.

What is hot air balloon?

A hot air balloon is a lighter in weigh than air. It is an object made up of an envelope-like bag that holds heated air. A wicker basket, gondola, or capsule suspended below transports people and a heat source, typically an open flame produced by burning liquid propane. A capsule also carries passengers in some long-distance or high-altitude balloons.

Lets understand with the help of a right angle triangle, The point from where the hot air balloon taken off be point A, and the point where Isabelle is standing is point B, and the point where the balloon is point C.

The AB= distance between Isabelle and the point from where hot air  balloon taken off = base of the imagined triangle,

AC = height at which hot air balloon is floating = perpendicular of the imagined triangle

BC = distance between Isabelle and hot air balloon = Hypotenuse of the imagined triangle

Applying Pythagoras theorem,

(BC)² = (AC)² + (AB)²

(BC)² = (20)² + (21)²

BC = 29

Hence Albert and Isabelle are 29 meters far apart.

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For this case we have the following function given:

We also know that the domain is given by:

and in order to find the range we need to use the domain given:

So then the range for this case would be given by:

If we invest $12,000 in an account that pays simple interest of 3.4%

each year. 4080 is the interest earned after 10 years.

Simple interest is the cost of borrowing money without accounting for the effects of compounding.

Given that if we invest $12,000 in an account that pays simple interest of 3.4% each year. The interest earned after 10 years we have to calculate.

A=P(1+rt)

A= Final Amount

P=Principle amount=12000

r = rate of interest=3.4%

t is time =10 years

Substitute these values in Formula.

Convert 3.4% to decimal number by dividing with 100.

A=12000(1+0.034(10))

A=12000(1+0.34)

A=12000(1.34)

A=16080

So intial amount-Final amount

12000-16080

4080

Hence the interest earned after 10 years is 4080.

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Part 1

Relative maxima are where the function changes from increasing to decreasing.

Part 2

None, see above.

Part 3

Relative minima are where the function changes from decreasing to increasing.

Part 4

None, see above.

Answer:

3 options.

Chicken - White

Chicken - Italian

Chicken - Wheat

Explanation:

This question can be better explained with a graphic:

You have an index card with the word "chicken", and 3 index cards with the words "white", "wheat", and "Italian", which are the options of bread.

Also we have represeted the red yarn with 3 black lines that connect the options.

We can see from the image that we have 3 options of sandwiches:

Chicken - White

Chicken - Italian

Chicken - Wheat

We will first sketch the problem

Let x be the vertical distance above the ground

Using the trigonometric ratio;

cross-multiply

The real length of the ship in centimeters is  800000 cm and the real length of the ship in meters is 8000 m

Ratio is a comparison tool for like-kind amounts. A:B or a/B is the ratio formula for two numbers, a and b. A ratio is considered to be in proportion when two or more ratios are equal. Fractions form the foundation of the ratio and proportion concepts. The primary pillars on which many other mathematical notions are built are ratio and proportion. When comparing heights, weights, distances, or times, or when adding ingredients to a recipe, for example, ratio and proportion can be used to solve a variety of everyday problems. Ratios are created by dividing two amounts, and proportions are created when two ratios are equivalent. Different ways, such as x: y or x/y, can be used to express a ratio.

The real length in cm

= 8 000 meters in cm

= 800000 cm

The real length

= 8000 m

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Answer:$16,000 in interest

Step-by-step explanation: well, you just take 4% of 80,000 which is $3200. (80,000x0.04=3200). Then because it is 5 years, just multiply the 3200 by 5 (there isn't compound interest.) 3200*5=16,000.

968 / 10

To divide by the move the coma one place to the left

968/10 = 96.8

Answer:

dihuyyh

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

800/25=32

992/32=31

Answer:

£31

Step-by-step explanation:

let me know if you want a through explanation

Answer: 85 cm

Step-by-step explanation:

Answer:

3a x 7a= 21a^2

Step-by-step explanation:

7a x 13a=91a^2

1)

Note that the more people work together the less time they spend.

This is a question about Proportions, Inverse variation. So let's set the ratios and the proportion given these data.

So we can write out the following ratios:

So, it would take 8 hours for Adam to do it alone.

According to the given equation (y = (3/4)x -2) the value of y for x:

Y = {-5 , -2 , 1 , 4}

A coordinate plane is just a two-dimensional plane that is created when two number lines cross. These number lines include the x-axis, a horizontal number line, and indeed the y-axis, a vertical number line.

In a coordinate plane, which is a two-dimensional number line, the vertical line is known as the y-axis and the horizontal line as the x-axis, as you might recall from pre-algebra. These parallel lines cross one another at their zero points. The origin is where we start from.

Equation:

y = (3/4)x -2

X = {-4 , 0 , 4 , 8}

for each value of x the value of the y :

For x = -4

y = (3/4)x -2

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

y = -5

For x = 0

y = (3/4)x -2

y = (3/4)(0) -2

y = 0 -2

y = -2

For x = 4

y = (3/4)x -2

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

y = 1

For x = 8

y = (3/4)x -2

y = (3/4)(8) -2

y = 6 -2

y = 4

According to the given equation (y = (3/4)x -2) the value of y for x:

Y = {-5 , -2 , 1 , 4}

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Recall that a rotation of 180 degrees around the origin transforms the coordinates following the rule:

(x, y) --> (-x, -y)

and also recall that a reflection across the y-axis will convert the following:

(x, y) --> (-x, y)

Therefore, we cansider the succession of transformations given as:

(x, y) --> (-x, -y) --> (x, -y) (since the y value stays the same in the reflection around the y axis, but the x changes to its opposite)

Then, this transformation (from beginning to end)

(x, y) --> (x, -y) is equivalent to a reflection around the x-axis (which keeps the x coordinate intact and flips the y-coordinate to its opposite. So, please select the option that reads: Reflection around the x-axis.

We will use the angle properties to determine the constituent angles.

We are given that a line segment ( BD ) is an angle bisector of < ABC. We will go ahead and represent this piece of information graphically as follows:

We will define the following angle as follows:

The angle bisector ( BD ) divides the angle into two equal halves as follows:

We are given expressions for both angles as follows:

We know from the property of angle bisector that the two constituent angles are equal i.e:

Now we can use the value of ( x ) calculated above and determine either of the constituent angles as follows:

Then we can use the angle bisector property relation again to determine the angle ABC as follows:

Answer:

25(8+ x)=14

25*8+ 25x =14

200+ 25x= 14

25x=14-200

25x = -186

x = -186/25

x= -7.44

Given: A small toy rocket is launched from a 48-foot pad. The height ( h, in feet) of the rocket t seconds after taking off is given by the formula

Required: To find out how long will it take the rocket to hit the ground.

Explanation: When the rocket hits the ground its height h=0. Hence

which gives

Since time can't be negative. Hence t=4 seconds.

Final Answer: t=4 seconds.

If Julia had a bag filled with gumballs and there were 2 lemon-lime, 3 watermelon, and 5 grape gumballs, then the correct sample space for the gumball in her bag is option (D) Sample space = lemon-lime, lemon-lime, watermelon, watermelon, watermelon, grape, grape, grape, grape, grape

The number of lemon limes in the bag = 2 lemon-lime

Number of watermelon in the bag = 3 watermelon

Number of grape gumballs in the bag = 5 grape gumball

Sample space is the set of all the possible outcomes the experiment

Here there are 2 lemon-lime, 3 watermelon and 5 grape gumball

Hence, if Julia had a bag filled with gumballs and there were 2 lemon-lime, 3 watermelon, and 5 grape gumballs, then the correct sample space for the gumball in her bag is option (D) Sample space = lemon-lime, lemon-lime, watermelon, watermelon, watermelon, grape, grape, grape, grape, grape

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Answer:Option B is the correct answer

Answer:

its was 100.6

Step-by-step explanation:

i hope this helps

The correct description of the values in both the domain and range of the function are;

Domain is on the interval (0, 100) which are possible values of number of copies of the book produced.

Range is on the interval (700, 1700) which are the possible total cost of publishing the book

The formula for total cost is;

Total cost = fixed cost + variable cost or

We are given the function; C = 10N + 700  

Where;

C is the total cost of publishing the book (in dollars).

N is the number of copies of the book produced.

a) Domain is possible values of N.

For the first printing, the company can produce up to 100 copies of the book.

Thus, the domain is on the interval (0, 100) but only integers.

The range is the possible cost.

Possible cost maximum = 10(100) + 700 = 1700

Thus, the range is on the interval (700, 1700) where any cost in that interval is not continuous, but follows a discrete sequence.

b)  Reasonable values of the domain are [0, max] where the maximum value is the largest book sales ever in the market area,  maybe 50 or 75

Reasonable values for the range are [700, max] where the maximum cost is 700 + 10 *50 or 75,

or 1200 or 1450.  

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