If a board of directors consists of 18 people, how many ways can a chief executive officer, a director, a treasurer, and a secretary be selected?.

Answer:

the slope is 1

Step-by-step explanation:

x1,y1=(3,-1)

x2,y2=(-3,-5)

[tex]m = y2 - y1 \div x2 - x1[/tex]

-5--1/-3-3

-6/-6

m=-6/-6

simplify the fraction -1/-1

since 2 negatives = positive

m=1/1

simplify

m=1

Answer:

  0.4 m = 40 cm

Step-by-step explanation:

You want the height of a model water tower with a volume of 0.1 liters that models a city water tower 40 m high with a volume of 100,000 liters.

The scale factor for volume is the cube of the scale factor for linear dimensions, such as height. Conversely, the scale factor for height is the cube root of the scale factor for volume.

This lets us write a proportion for the height of the model tower:

  [tex]\dfrac{h}{40\text{ m}}=\sqrt[3]{\dfrac{0.1\text{ L}}{100000\text{ L}}}\\\\h=(40\text{ m})\sqrt[3]{10^{-6}}=\boxed{0.40\text{ m}}[/tex]

Logan should make his tower 0.4 meters, or 40 cm high.

0.6%  is the probability of getting a king .

What is probability ?

Probability of K from full 52 card pack = 4/52 = 1/13

Probability of A from the remaining 51 cards = 4/51

“And" in probability means you Multiply.

1/13 x 4/51 = 4/663 = 0.6%

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According to the equation it takes 6 years for the population to reach 1,458 elk.

Equation:

An equation is made up of two expressions connected by an equal sign. For example, 2x – 5 = 16 is an equation.

Given,

A biologist is studying the elk population in a county park. She starts with only 2 elk and observes that the number of elk triples every year.

Here we need to find the equation that will shows the number of years, y, it will take for the population to reach 1,458 elk.

Let us consider n be the number of years take  for the population to reach 1,458 elk.

So, according to the given question, we have written as,

f(n) = 2 x 3ⁿ

Here we know that the value of f(n) = 1458, then the equation is written as,

1458 = 2 x 3ⁿ

When we simplify this, then we get,

3ⁿ = 729

We know that, 729 = 3⁶,

Therefore, it can be written as,

3ⁿ = 3⁶

Therefore, it take 6 years for the population to reach 1,458 elk.

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Answer:

-1

Step-by-step explanation:

The number never changes when you divide by 1. So -1/1=-1.

-Hope this helped

Answer:

Step-by-step explanation:

Given:

N₀ = 298 pages

N = 20 pages

You can apply the formula:

Number of days

D = [N₀ / N] + 1 = [298 / 20 ] + 1 =

= [14.9] + 1 = 14 + 1 = 15 day,

where the square brackets are the integer part of the number

If a book has 298 pages, and I read 20 pages a day, then it will take 15 days to read the entire book.

Total pages in the book= 298

Total pages that I daily read= 20

Then it will take 15 days to read the entire book.

The formula for this problem:

The solution to this type of problem can be figured out with the help of unitary method.

20 pages of a book can be read in = 1 day

1 page of a book can be read in = 1/20 days

298 pages of a book can be read in = 1/20×298 days = 14.9 days

But days cannot be 14.9, so it will be 15 days which is the nearest value of 14.9.

15 days it will take to read the entire book.

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Answer:

oof try adding dem

Step-by-step explanation:

hope you git 20 points

Answer: x = -2

Step-by-step explanation:

[tex]\frac{1}{6x^2} =\frac{1}{2x} +\frac{7}{6x^2}[/tex]

[tex]\frac{1}{6x^2} = \frac{3x}{6x^2} + \frac{7}{6x^2}[/tex]  (work with common denominators)

[tex]\frac{1}{6x^2} = \frac{3x+7}{6x^2}[/tex]

[tex]1 = 3x + 7[/tex] (remove the 6x^2 because they'll cancel out when you cross multiply)

[tex]-6 = 3x[/tex]

[tex]-2 = x[/tex]

From the given numbers nickels and quarters ,total value of given coins is less than $2.50 then maximum number of quarters to meet the given condition is equal to 3.

As given in the question,

Let x represents the number of nickels

And y represents the number of quarters

Total number of nickels and quarters are 35

Total value of given coins = $2.50

Required equation for the given condition is:

x + y = 35   ___(1)

1 nickel = 0.05 dollars

1 quarter = 0.25 dollars

0.05x + 0.25y <2.50 ___(2)

Substitute x = 35 - y in (2) we get,

0.05 ( 35 - y ) + 0.25y < 2.50

⇒1.75 - 0.05y + 0.25y < 2.50

⇒ 0.2y < 2.50 - 1.75

⇒ 0.2y < 0.75

⇒ y < 3.75

Maximum number of quarters for the given condition is equal to 3.

Therefore, for the given numbers nickels and quarters ,total value of given coins is less than $2.50 then maximum number of quarters to meet the given condition is equal to 3.

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The equation in terms of log(x) and log(z) is, [tex]logx\sqrt{z} = logx + \frac{1}{2} log(z)[/tex].

What is logarithmic expression?

A logarithmic equation is one in which a variable-containing expression's logarithm is used as a solution. If you can write both sides of the equation as powers of the same number, that will help you answer exponential equations.

Consider, the given logarithmic expression,

[tex]logx\sqrt{z}[/tex]

By using the logarithmic rule: log(ab) = log(a) + log(b)

So,

[tex]logx\sqrt{z} = log(x) + log\sqrt{z}[/tex]           ..(1)

Replace [tex]\sqrt{z}[/tex] by [tex]z^\frac{1}{2}[/tex].

So,

[tex]log\sqrt{z} = logz^\frac{1}{2}[/tex]

Apply the rule: [tex]loga^b = b log(a)[/tex]

Therefore, [tex]log(\sqrt{z}) = \frac{1}{2}log(z)[/tex]

Substitute this value in equation (1).

[tex]logx\sqrt{z} = logx + \frac{1}{2} log(z)[/tex].

Hence, the expression in terms of x and z is, [tex]logx\sqrt{z} = logx + \frac{1}{2} log(z)[/tex].

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Answer:

it would be 66.75 for one day if ella plans to drive for 1 day with 50 miles, and if you need how much money she has left it is 63.25

Step-by-step explanation:

hope it helped:)

Answer:10 blocks

Step-by-step explanation: East And West are in a straight line

Answer:

A

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 3 and crosses the y- axis at (0, - 7 ) ⇒ c = - 7

that is the y- intercept c = - 7

Answer:

FG≅LJ

GH≅JK

HF≅KL

Step-by-step explanation:

Answer:

y = 100x + 400

Step-by-step explanation:

What we know:

     - You started with 400

     - You get 100 a week

What we need to find out:

 - The equation or rate to know how much money acquired in specific time

Step 1 ( of 1 ): Equation

-   if you let y represent the total of money you acquire then the equations starts as

y=

-  Then we know that we get 100 a week so let x represent the amount of weeks so

y = 100x

-  Lastly we know that we started with 400 so then we just add that to the equation to make it

y = 100x + 400

Answer:

[tex]m= -2\frac{1}{13}[/tex]

Step-by-step explanation:

2m-27/3=5m

x3.             x3

2m-27=15m

-2m.     -2m

-27=13m

/13.   /13

-27/13=m

-2 1/13=m

Hopes this helps please mark brainliest

Answer:

9

How I got the Answer:

We have,        

  p = 0.30        

   q = 1 - p = 0.70          

    n = 449

Here,

npq = 4449*0.3*0.7 = 9

MARK ME BRAINLIEST! I HELPED YOU PLEASE HELP ME!

A) The interval(s) on which f is increasing is; (1,3) ∪ (4,6).

B) The interval(s) on which f is decreasing is; (0,1) ∪ (3,4).

(C) The interval(s) on which f is concave upward is; (0,2) ∪ (3,5).

A) A function is said to be increasing on an interval if for every point on that interval we see that the first derivative is positive. Thus, from the attached graph, we see that the function is increasing on the intervals (1,3) and (4,6).

B) If the value of the derivative f' (x) ≤ 0 of the function, then we can say that the interval is a decreasing interval. From the graph, we can say that the function is decreasing on intervals (0,1) and (3,4).

C) The graph is concave upward on the intervals (0,2) and (3,5).

D) The graph is concave downward which means convex on the interval (3,4).

e) The points of inflection are defined as the points located on a smooth plane curve that the curvature changes sign. In this graph, the points of inflection are x=3 and x=5.

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The amount owed by the debtor is $10865

The given parameters about the compound interest are

Principal Amount, P = $5300

Interest Rate, R = 8%

Time, t = 6 years

To calculate the amount owed, we make use of the following formula

A = P + CI

Where

Compound interest, CI = P(1 + R)^t - P

So, the equation becomes

A = P + P(1 + R)^t - P

Evaluate the like terms

A = P(1 + R)^t

In this question, the formula is given as

A = P(1 + r/n)^nt

Where

n = 12, i.e compounded monthly

Substitute the known values in the above equation

A = 5300 * (1 + 8%/12)^(6*12)

Express 8% as decimal

A = 5300 * (1 + 0.08/12)^(6*12)

Evaluate the sum

A = 5300 * (1.01)^(6*12)

Evaluate the exponent

A = 5300 * 2.05

Evaluate the product

A = 10865

Hence, the value of the amount after 6 years is $10865

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Answer:

1323.3

Step-by-step explanation:

a) The variable x is the average distance of Venus from the sun.

b) The equation for the given condition,

⇒ ⇒ 57.9 = 3.8 + x/2

c) The average distance of Venus from the sun = 108.2 million kilometers.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The average distance of Mercury from the sun = 57.9 million kilometers

And, This distance is 3.8 million kilometers more than half the average distance of Venus from the sun.

Now,

Since, The average distance of Mercury from the sun = 57.9 million kilometers

And, This distance is 3.8 million kilometers more than half the average distance of Venus from the sun.

Let the average distance of Venus from the sun = x

So, We can formulate;

⇒ 57.9 = 3.8 + x/2

Solve for x as;

⇒ 57.9 = 3.8 + x/2

⇒ 57.9 - 3.8 = x/2

⇒ x/2 = 54.1

⇒ x = 54.1 × 2

⇒ x = 108.2

Thus, The average distance of Venus from the sun = 108.2 million kilometers.

Therefore, a) The variable x is the average distance of Venus from the sun.

b) The equation for the given condition,

⇒ ⇒ 57.9 = 3.8 + x/2

c) The average distance of Venus from the sun = 108.2 million kilometers.

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Answer:

1) The new price would be $595

2 )The discount is $105 off

Step-by-step explanation:

1) 700 x 0.85 = 595

2) 700 x 0.15 = 105

The solution of the expression -3√7r³-6√7r² is -3√7r²(r+3)

Expression:

An expression also known as the algebraic expression consists of unknown variables, numbers and arithmetic operators.

Given,

Here we have the expression -3√7r³-6√7r²

Now, we have to solve this expression step by step.

In order to solve this expression, we have to write the given expression as,

=> - 3√7r³- 6√7r²

Here the value √7 is common, so we have to take it as the common term and then rewrite the given expression as,

=> √7(-3r³-6r²)

Now, we have to take the number -3, as the common term then we get he expression like the following,

=> -3√7(r³+3r²)

Now we have to take the variable r² as the common term, then we get,

=> -3√7r²(r+3)

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Answer:

∴ x = 5

Step-by-step explanation:

(18x)° = 180° - 90° (adjacent angles on a straight line)

  18x = 90

  ∴ x = 5

Using equation, the number of math assignment is 69 .

Brianna has 113 assignments in the history, science, and art sections combined. The rest of her assignments are in the math section. Brianna has 182 assignments in total.

Using equation, the number of assignments in the math section of Brianna's binder can be calculated as follows:

She has 113 assignments in the history, science, and art sections combined.  

Let x be the number of assignments that are in math section.

There are 182 assignments in total.

Therefore,

x + 113 = 182

subtract 113 from both sides of the equation

x + 113 = 182

x + 113 - 113 = 182 - 113

x = 69

Therefore, the number of math assignment is 69.

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The value of n is 22.

In this question, we have been given the parallel lines HE and AD are

cut by transversal BF at points G and C, respectively.

Consider the following diagram.

If m∠HGF = 5n and m∠BCD = 2n +66, we need to find n.

∠HGF and ∠BCD are alternate exterior angles.

We know that  alternate exterior angles are congruent.

So, m∠HGF = m∠BCD

5n = 2n +66

5n - 2n = 66

3n = 66

n = 66/3

n = 22

Therefore, the value of n is 22.

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A variable can be any number or alphabet that may constantly vary and the equation to represent the given situation for Kira is (3x+y) and for Hector is (3x+z) where x is the time for solos and y and z are times for piano. The value of x and y is 3.5 minutes and that of z is 7 minutes.

According to the question,

We have the following information:

Each person performed for the same amount of time. Kira sang three solos and played a piano piece. Hector sang 2 solos and played a piano piece that lasted twice as long as Kira's. Each of the solos Kira and Hector sang was 3.5 minutes long.

Now, let's take time for solos to be x min and time for Kira's piano to be y min and that for Hector is z min.

So, we have the following equations:

Kira:

3x+y

Hector:

2x+z

Now, z = 2y

x = 3.5 minutes

Time is equal:

3x+y = 2x+z

3x+y = 2x+2y

3x-2x = 2y-y

x = y

y = 3.5 min

z = 2*3.5

z = 7 min

Hence, a variable can be any number or alphabet that may constantly vary and the equation to represent the given situation for Kira is (3x+y) and for Hector is (3x+z) where x is the time for solos and y and z are times for piano. The value of x and y is 3.5 minutes and that of z is 7 minutes.

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The area of trapezoid ABCD is 37.5 units^2.

Trapezoid is a type of quadrilateral with at least one pair of parallel sides. The area of trapezoid is given by:

Area = ½(a + b)*h

Where a and b are the length of two parallel sides and h is the perpendicular length between the length of two parallel sides.

In the given trapezoid ABCD, which is defined by coordinates of A, B, C, and D, the distance of each side is given by: √((x2 – x1)^2 + (y2 – y1)^2)

The length of a (DA) = √((x2 – x1)^2 + (y2 – y1)^2) = √((-3 – 0)^2 + (2 – (-2))^2) = √((-3)^2 + (4)^2) = √(9 + 16) = √25 = 5 units

The length of b (BC) = √((x2 – x1)^2 + (y2 – y1)^2) = √((7 – 1)^2 + (-3 – 5)^2) = √((6)^2 + (-8)^2) = √(36 + 64) = √(36 + 64) = √(100) = 10 units

The length of h (AB) = √((x2 – x1)^2 + (y2 – y1)^2) = √((1 – (-3))^2 + (5 – 2)^2) = √((4)^2 + (3)^2) = √(16 + 9) = √(25) = 5 units

Hence, the area of trapezoid:

Area = ½ (5 + 10) * 5 = 7.5 * 5 = 37.5 units^2

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Answer:

2.543%

Step-by-step explanation:

295x1.02543=$302.50

295+2.543%=302.50