73,500,000,000,000,000,000,000 kilograms in scientific notation

Answer:

$67.50

Step-by-step explanation:

here you go

The (g.f)(x)  of the two functions is:

(g.f) (x) = 6x + 37

A function is an expression that shows the relationship between the independent variable and the dependent variable.  A function is usually denoted by letters such as f, g, etc.

To find (g.f) (x), follow the steps below:

1. Substitute the value of f(x) into the function g(x).

2. Then simplify the expression.

That is:

f(x) = 3x+18

g(x) = 2x+1

Thus, we have:

(g.f) (x) = g(f(x))

(g.f) (x) = g(3x+18)

(g.f) (x) = 2(3x+18) + 1

(g.f) (x) = 6x+36 + 1

(g.f) (x) = 6x + 37

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Answer:

3

Step-by-step explanation

Your problem statement tells you  

f(x) passes through point (3, negative 1)

g(x) passes through point (3, negative 1)

This tells you the input value that produces the same output value for the two functions is 3, and that output value is -1.

Answer:

A.) 7,200

Step-by-step explanation:

Answer:

[?] = 108

Step-by-step explanation:

\(270^\circ\)  is  3/4 of a whole revolution:  \(\frac{270^\circ}{360^\circ}=\frac{3}{4}\) so the area of the sector is 3/4 of the area of the entire circle.

Area of a circle:  \(A=\pi r^2\)

Area of the sector:  \(\frac{3}{4} \pi (12^2)=\frac{3}{4}(144)\pi=108\pi\)

The value of e⁻ᴿᵗ is 0.8886 for the given the standard deviation of returns averages 28 percent with the options mature in 5 years and the risk-free rate is 2.36 percent.

So, the correct option is option ( C).

Exponential function is characterized by rapid increase (as in size or extent) and an exponential growth rate.

We have given that,

standard deviation of returns averages = 28%

options mature, t = 5 years and

Risk-free rate , R = 2.36 percent.

we have to calculate the value of e−Rt.

Exp(-Rt) = e⁻⁽²·³⁶⁾⁵

use exp(value) function to find the value :

=exp(-5 × 2.36%)

= exp(- 0.118 )

=0.8886

Hence, the the value of e⁻ᴿᵗ is 0.8886.

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Complete question:

I. M. Greedy has been granted options on 500,000 shares. The stock is currently trading at $48 a share and the options are at the money. The standard deviation of returns averages 28 percent. The options mature in 5 years and the risk-free rate is 2.36 percent. What is the value of e-rt?

a) .7087

b) .8476

c) .8886

d) .6087

e) .7952

Answer:

Step-by-step explanation:

it 28 by adding 6 +1 is 7 and times it by 4

7+3x=y I got this as the answer!

Answer:

-5/6

Step-by-step explanation:

By the application of Analytical geometry the rate of change of y with respect to x is -5/6.

what is Analytical geometry?

Analytical geometry is a branch of mathematics that studies geometric shapes and figures using analytical methods. It is a branch of mathematics that uses algebraic techniques to describe geometric shapes and figures. It involves the use of analytical equations and formulas to study geometric concepts. Analytical geometry is used to study the properties of points, lines, angles, circles, and other geometric shapes. It can also be used to solve problems involving angles, distances, and areas of figures. In addition, analytical geometry can be used to find the intersection of two lines, calculate the area of a circle, and calculate the volume of a cylinder. Analytical geometry is a powerful tool used in many scientific and engineering fields.

The rate of change of y with respect to x for this line is -5/6
Therefore -5/6 is rate of change in this graph.

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Answer:

None of the answers are equivalent, as written.  B comes the closest, but there is no "=" sign, so it is not an equation.  It is an expression.  But it does make one wonder if the second "+" was mistyped, and should have been a "+," instead.

Step-by-step explanation:

x=150-6y

x+6y=150   [Not x+6y+150]

With the help of the given Venn diagram, the answer of n(A∪B) is 44 respectively.

A Venn diagram is a visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects.

Circles that overlap share certain characteristics, whereas circles that do not overlap do not.

Venn diagrams are useful for showing how two concepts are related and different visually.

When two or more objects have overlapping attributes, a Venn diagram offers a simple way to illustrate the relationships between them.

Venn diagrams are frequently used in reports and presentations because they make it simpler to visualize data.

So, we need to find:

A ∪ B

Now, calculate as follows:

The collection of all objects found in either the Blue or Green circles, or both, is known as A B. Its components number is:

8 + 7 + 14 + 6 + 1 + 8 = 44

n(A∪B) = 44

Therefore, with the help of the given Venn diagram, the answer of n(A∪B) is 44 respectively.

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Answer:

$3.20/gallon

Step-by-step explanation:

to fill up your tank at $3.20/gallon only costs $38.40

One characteristic of a well-defined probability density function of a continuous random variable X is that the area under the curve, f(x) over all values of x is equal to one.

Probability density functions are a group of functions commonly used in statistical theory to describe the behavior of theoretical probability distributions. A function satisfies a criterion like the function if its values are always positive for all horizontal axes and its primitives are probability distributions. This means that this function is non-negative for all abscissa values and its definite integral product in the range -∞ to +∞ is equal to 1. Apart from being called the probability density function, it is also called the probability density function or probability density function in the literature.

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Answer:

The answer is 28

Step-by-step explanation:

because you just multiply 7×4

Answer:No, X=-3, yly =-4,0,4

Step-by-step explanation:

Answer:

The leading coefficient is 3

Step-by-step explanation:

Polynomials

Given the roots of a polynomial x1,x2,x3, it can be expressed as:

\(p(x)=a(x-x1)(x-x2)(x-x3)\)

Where a is the leading coefficient.

We are given the roots x1=-6, x2=7i, x3=-7i, thus:

\(p(x)=a(x+6)(x-7i)(x+7i)\)

Operating the product of the conjugated imaginary roots:

\(p(x)=a(x+6)(x^2+49)\)

Knowing p(2)=1,272 we can find the value of a

\(p(2)=a(2+6)(4+49)=1,272\)

Operating:

\(a(8)(53)=1,272\)

\(424a=1,272\)

Solving:

\(a=1,272/424\)

a=3

The leading coefficient is 3

Answer:

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is 3x 987 colunm 2

The required rate of return for the stock with a beta of 0.5 is 7.5% and for the stock with a beta of 2 is 15%.

Rate of return is the amount of profit or loss earned on an investment over a certain period of time, expressed as a percentage of the initial investment or total asset value.

A stock is a type of security that represents ownership in a company. Investors buy stocks to become shareholders and share in the company's profits and losses.

According to the given information:

The Capital Asset Pricing Model (CAPM) is expressed as:

R = Rf + beta*(Rm - Rf)

Where:

R = Required rate of return

Rf = Risk-free rate of return

beta = Beta coefficient (systematic risk)

Rm = Expected market return

Using the given values, we can compute the required rate of return for each stock:

Stock with beta of 0.5:

R = 5% + 0.5*(10% - 5%)

R = 7.5%

Stock with beta of 2:

R = 5% + 2*(10% - 5%)

R = 15%

Therefore, the required rate of return for the stock with beta of 0.5 is 7.5%, and the required rate of return for the stock with beta of 2 is 15%.

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We have the following:

the value of the tax is the multiplication of the tax percentage by the total value.

The answer is $7.76

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

you have to convert them to equivalent units (the same denominators)

Step-by-step explanation:

first, multiply  2 and 7 by 4.

now you have 8/21.

then, make the other fraction the same value.

multiply 1 and 4 by 7.

7/21.

now your equation is 7/21 + 8/21= 15/21.

To find:-

Answer:-

We need to evaluate,

\(\implies s_4=\displaystyle \sum_{n=1}^{4} 2(3^{n - 1})\)

Substituting n = 1 , 2 , 3 and 4 in \( 2(3^{n - 1})\) and then adding them , we have;

\(\implies s_4 = 2(3^{1-1}) + 2( 3^{2-1})+2(3^{3-1})+2(3^{4-1}) \\\)

Take out 2 as common,

\(\implies s_4 = 2 [ 3^0 + 3^1 + 3^2 + 3^3]\\\)

\(\implies s_4 = 2 [ 1 + 3 + 9 + 27 ] \\\)

\(\implies s_4 = 2 ( 40) \\\)

\(\implies \underline{\underline{ s_4 = 80}} \\\)

Hence the required answer is 80 .

and we are done!

The measure of the arc or angle is:

m∠NLM = 60 deg

From the given figure, line LN is the diameter. Thus, the measure of arc LN is 180° (semicircle).

Thus, we can say:

arc NM + arc ML = 180°

(3x + 21) + (8x + 16) =  180°

11x + 37 = 180

11x = 180 - 37

11x = 143

x = 143/11

x = 13

arc NM = 8x + 16

put x = 13:

arc NM = 8(13) + 16 = 120°

Recall that:

The measure of inscribed angle is half the measure of its intercepted arc. That is:

m∠NLM = 1/2 * 120°

m∠NLM = 60°

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The graph of h(x) = (x-1)^2 - 9 is a U-shaped parabola that opens upwards, with the vertex at (1, -9), and it extends indefinitely in both directions.

The function h(x) = (x-1)^2 - 9 represents a quadratic equation. Let's analyze the different components of the equation to understand the behavior of the graph.

The term (x-1)^2 represents a quadratic term. It indicates that the graph will have a parabolic shape. The coefficient in front of the quadratic term (1) implies that the parabola opens upwards.

The constant term -9 shifts the graph downward by 9 units. This means the vertex of the parabola will be at the point (1, -9).

Based on this information, we can draw the following conclusions:

The graph will be a U-shaped curve with the vertex at (1, -9).

The vertex represents the minimum point of the parabola since it opens upward.

The parabola will be symmetric with respect to the vertical line x = 1 since the coefficient of the quadratic term is positive.

The graph will extend indefinitely in both directions.

To accurately plot the graph, you can choose several x-values, substitute them into the equation to find the corresponding y-values, and then plot the points on the graph. Alternatively, you can use graphing software or calculators that can plot the graph of the equation for you.

Remember to label the axes and indicate the vertex at (1, -9) to provide a complete representation of the graph of h(x) = (x-1)^2 - 9.

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Answer:

22.33

Step-by-step explanation:

x%(150)=33.5

x/100 x 150=33.5

x/2 x 3=33.5

x=2/3 x 33.5

x=67/3

x=22.33

Answer:

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Hope it helps :)

Answer:

Step-by-step explanation:

12 : 16

Both have 4 in common

3 : 4

72 : 96

Both have 12 in common

6 : 8

Both have 2 in common

3 : 4

So both the ratios are equivalent

Step-by-step explanation:

4x +8=-12 is the answer

Using the given information, the total distance travelled by the golf ball is 288 m

From the question, we are to calculate the total distance travelled by the golf ball

The distance travelled by the golf ball can be calculated by using the formula,

Distance = Speed × Time

From the given information,

The golf ball rolls at a speed of 8 m/s for 12 seconds

Thus,

The distance travelled at this time is

Distance = 8 m/s × 12 s

Distance = 96 m

Also,

Mandy hits the golf ball and it rolls for 16 seconds at a speed of 12 m/s

The distance travelled at this time is

Distance = 12 m/s × 16 s

Distance = 192 m

The total distance travelled by the golf ball is 96 m + 192 m

=

Hence, the total distance travelled by the golf ball is 288 m

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Answer:

1000

Step-by-step explanation:

If any of the digits 0-9 can be used then there are 10^3 possible codes.

10^3 = 1000

Answer:

10

Step-by-step explanation:

deoends how many pieces each pizza has. if it has 8 pieces each it would be 8×5=40