There are 12 senior leaders and 10 junior leaders. How many different delegations of six can be formed if at least four are seniors?

Therefore, the answer to the given ratio problem comes out to be 300,000.

In mathematics, the term "portion" or "fraction" refers to the proportion of one number that is present in another. In a fruit platter with eight oranges and six lemons, for instance, the ratio of citrus to lemon is eight over six, meaning 8:6, which would be equivalent to the ratios of 4:3 or the decimals 1.333.

Here,

We must use our grasp of proportionality to establish the maximum amount of shares that can be owned in this exercise.

The 20 huge variations will allow Blackbird Oil to store a total of 300,000 gallons.

The details in the assertion can be summed up as follows:

20 brand-new, sizable oil storage tanks.

The ratio is 4:5 for 12,000 gallons.

Because of the proportional ratio of 4.05, the enormous receptacles are 1.25 times larger than the ordinary ones, giving us:

=> 1200 * 1.25 = 15000

=> 15000 * 20 = 300000

As a result, the supplied problem's answer equals 300,000.

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Answer:polygon

Step-by-step explanatiopolygon

Rounding to the nearest million, the gross sales amount to $233 million.

Gross sales refer to the total amount of revenue generated from the sale of goods or services before any deductions or expenses are made. It is the total amount of money received from customers, before accounting for any discounts, returns, or other adjustments. Gross sales can also be referred to as total sales or revenue.

If net sales equal gross sales less returns, then we can write an equation:

net sales = gross sales - returns

where returns equal a certain percentage of gross sales.

$210 million = gross sales - 0.10 * gross sales

Expanding the right side of the equation:

$210 million = gross sales - 0.1 * gross sales

$210 million = (1 - 0.1) * gross sales

$210 million = 0.9 * gross sales

Dividing both sides by 0.9:

$210 million / 0.9 = 0.9 * gross sales / 0.9

$233.33 million = gross sales

Rounding to the nearest million, the gross sales amount to $233 million.

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Answer: d = 18

Step-by-step explanation:

Answer:

d=15

Step-by-step explanation:

Solve each equation.

Check your solution.

2d - 10 = 20

Add 10 to each side

2d-10+10 = 20+10

2d = 30

Divide each side by 2

2d/2 = 30/2

d = 15

Check the solution

2 ( 15) -10=20

30 - 10=20

20=20

Check

Answer:Isolate the variable by getting all terms and coefficients to the other side of the equal sign. (3x −3) = 12. Given equation. Add 3 to both sides to get −3 from the left side to the right side. 3x = 15. Divide both sides by 3 to get x by itself, which would give us an exact answer. x = 5.

Step-by-step explanation:

Since it is stated that O is the centroid (also known as the point of intersection of the three medians), the segment JN, which traverses a triangle's vertex, would have to be a median to segment IK. IK = 24

As a segment is divided into two congruent pieces by medians, IN = NK = 12 since IN = 12.

IK is the sum of the measure of IN and NK, so in other words:

IK = IN + NK = 12 + 12 = 24

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In triangle IJK, O is the intersection of the three medians. If IN = 12 then the value of IK is 24.

A triangle's median is a line segment that connects a vertex to the middle of the side directly across from it.

Given that, O is the intersection of the three medians. Then, the segment JN which passes through a vertex of the triangle, would have to be a median to segment IK.

A median divides the segment into two equal parts. Thus, median JN divides the segment IK into two equal parts.

Thus, IN = NK

The value of IN = 12, hence NK = 12.

The value of IK is:

IK = IN + NK = 12 + 12 = 24

Hence, in triangle IJK , O is the intersection of the three medians . If IN = 12 then the value of IK is 24.

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Answer:

$645

Step-by-step explanation:

300 + 4600(.075)

= 300 + 345  

= 645

Answer:

the domain is 4

the range is 6

Step-by-step explanation:

x = 2 is the solution of the given equation: x + 3x - 4 = 10 - 3x

The meaning of such an equations in algebra is just a mathematical expression stating the equality between two mathematical terms. For instance, 6x + 5 = 11 is an equation where 6x + 5 and 11 are two expressions separated by the 'equal' sign.

Identity equations and conditional equations are the two types of equations. For just any value of both the variables, an equality remains true. Only such variables have values that make a condition expression true. Two expressions joined by an equals sign ("=") form an equation.

x + 3x - 4 = 10 - 3x

or, 4x - 4 = 10 - 3x

or, 4x + 3x = 10 + 4

or, 7x = 14

or, x = 14/7

or, x = 2

Thus, x = 2 is the solution of the given equation: x + 3x - 4 = 10 - 3x

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The rations for sin M, cos M and tan M is  [tex]\sqrt{11}[/tex]/6, 5/6, [tex]\sqrt{11}[/tex]/5

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.

In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slant side is called hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.

From that angle (suppose its measure is θ),

[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\[/tex]

Given;

Height=[tex]2\sqrt{11}[/tex]

Base= 10

Hypotenuse= 12

Now,

sin M= 2[tex]\sqrt{11}[/tex]/12

=[tex]\sqrt{11}[/tex]/6

cos M= 10/12

=5/6

tan M= 2[tex]\sqrt{11}[/tex]/10

=[tex]\sqrt{11}[/tex]/5

Therefore the trigonometric rations will be [tex]\sqrt{11}[/tex]/6, 5/6, [tex]\sqrt{11}[/tex]/5

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The slope and intercept of the linear functions are written as follows

a. 2y + 3x = 10

slope = -3/2

intercept = 5

b. x + 2y = 6

slope = -1/2

intercept = 3

c. 3y + 12 = 5x

slope = 5/3

intercept = -4

6. The coordinates of common point in the linear function is

(-6, -14)

The slope and intercept of linear function is gotten by rewriting the equation to be in the form

y = mx + b

m = slope

b = intercept

a. 2y + 3x = 10

rearranging the equation

2y = -3x + 10

y = -3/2 x + 5

slope = -3/2

intercept = 5

b. x + 2y = 6

rearranging the equation

2y = -x + 6

y = -1/2 x + 3

slope = -1/2

intercept = 3

c. 3y + 12 = 5x

rearranging the equation

3y = 5x - 12

y = 5/3 x - 4

slope = 5/3

intercept = -4

6. The coordinates of common point in the linear function is solved using graph. From the graph the point is (-6, -14)

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Answer:

The rate of change is 28.

Step-by-step explanation:

The equation is in slope-intercept form,  y = mx + b, where m is the slope, and b is the y-intercept.

The graph of y = kx is a line that always passes through the origin simply because if the x-value is replaced by 0, we would obtain an output value of 0 for each k.

In Mathematics, a proportional relationship can be defined as a type of relationship that generates equivalent ratios and it can be modeled or represented by the following mathematical expression:

y = kx

Where:

Generally speaking, the graph of any proportional relationship is always characterized by a straight line with the data points starting from the origin (0, 0) and passes through other unique data points on the cartesian coordinate.

In order to have a proportional relationship and equivalent ratios, the x-variable and y-variable must have the same constant of proportionality:

y = kx

k = y/x

k = 0/0

k = 0

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The number that does not belong with the other three is D. 10 x 9.2 ⁻¹³

With the first three numbers, the base of the exponential that is being multiplied by the first number is 10. These numbers are:

With the last number however, we see that the base of the exponential is 9. 2 and not 10 like the others. This is why 10 x 9 . 2 ⁻¹³ does not belong with the rest.

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The ninth term of the geometric sequence is 2048.

Given is the geometric sequence as -

8, -16, 32, -64, .....

We can write the 9th term as -

a{9} = ar ⁹ ⁻ ¹

a{9} = ar⁸

a{9} = 8 (-2)⁸

a{9} = 8 x 16 x 16

a{9} = 2048

Therefore, the ninth term of the geometric sequence is 2048.

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The required equation for number of miles and years for the car is given as; y = 19000x + 41000

To represent a straight line on a graph consider two points namely x and y intercepts of the line. To find x-intercept put y = 0 and for y-intercept put x = 0. Then draw a line passing through these two points.

The parameters are;

Suppose the year 2020 represents x = 0.

The distance travelled per year can be taken as the slope of the linear  equation. Thus, slope = 19000.

And, the distance travelled by January 1, 2020 is 41000.

This tells us that for x = 0, y = 41000.

The linear equation in slope intercept form is given as;

y = mx + c

where;

m is slope

c is y-intercept

Substitute the corresponding values in the above equation to obtain,

y = 19000x + c

At x = 0, y = 41000

41000 = (19000 × 0) + c

c = 41000

Now, the equation can be written as,

y = 19000x + 41000

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The solutions to the vectors a, b, and c are infinite. Given that there is just one equation and two variables

A quantity or phenomenon with independent qualities for both magnitude and direction is called a vector. The term can also refer to a quantity's mathematical or geometrical representation.

Given, three vectors a, b, and c that make 0◦, 90◦, and 180◦ angles with w.

w is a vector: w = <1, 2>

Since magnitude is not given we will form the equation in the terms of x and y for all three vectors

a makes a 0-degree angle with w

So, the multiple of a and w will be 1

x + 2y = -1

b makes a 90-degree angle with w

So, the multiple of a and w will be 0

x + 2y = 0

c makes a 180-degree angle with w

So, the multiple of a and w will be -1

x + 2y = 1

Therefore, Vector a, b, and c will have infinite solutions Since there are two variables and one equation only

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Answer:

The reflection of point S across the y-axis is point V

Point Q reflected across the x-axis - S (5, -5.5)

Point Q reflected across the y-axis - T (-5, 5.5)

NIMS incident command and coordination is based on fourteen NIMS Management Characteristics.

On fourteen NIMS Management Characteristics, NIMS bases incident command and coordination. The National Incident Management System's fourteen traits serve as pillars, enhancing its durability and effectiveness.

The ICS organizational design is adaptable. To improve internal organizational administration and coordination with the outside world, distinct functional elements can be formed and split as needed.

In all, NIMS integration is supported by 14 implementation objectives. NIMS is adaptable and suitable for all kinds of schools, school systems, and educational organizations, just as it applies to all kinds of emergency occurrences.

The following 14 NIMS management traits, each of which adds to the overall system's strength and effectiveness, form the foundation of the Incident Command System (ICS): Typical Language.

Therefore, the correct answer is option C. 14.

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Answer:

Essentially, in The Great Gatsby, Gatsby loses Daisy because he is trying to recapture something that never existed in the first place.

Answer:

-56

Step-by-step explanation:

Substitute:

12*(-9)+52 =

-108+52 =

-56

Answer: -56

Step-by-step explanation:

if z is an exponent then the whole answer would be different but im guessing it is not ? I hope this helps.

Answer:

First you need to divide 55.60/6.95 that is equal to

8 tickets

Answer: 5

Step-by-step explanation:

-4 < 5+x < 0

The smallest x can be is -8

The largest x can be is -4

There are 5 whole numbers from -8 to -4

By subtracting 42 in both sides of the equation, we will get:

k = -45

Thus the correct option is B.

We want to solve the following equation:

42 + k = -3

To solve this equation, we need to isolate the variable k in that equation.

To do so, we can just subtract 42 in both sides of the equation, then we will get:

42 + k - 42 = -3 - 42

(42 - 42) + k = -3 - 42

k = -45

That is the equation solved, we can see that the correct option is B.

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Answer:

B

Step-by-step explanation:

If the function be y = -6x - 7 then the inverse function exists [tex]$f^{-1}(x)=-\frac{1}{6}(x+7)$[/tex].

A function's inverse is a function that reverses the effects of another function. If x=g whenever y=f(x), then a function g is the inverse of a function f. (y). In other words, applying f and then g is equivalent to not acting at all. This can be expressed as g(f(x))=x when f and g are combined.

Let the given function be y = -6x - 7

If a function contains the point (a, b), the inverse of that function contains the point (b, a).

The position of x and y in the equation, we get the inverse relationship.

In this case, the function is y = -6x - 7, so the inverse relationship exists x = -6y - 7.

Solving this equation for y will give us an expression for [tex]$f^{-1}(x)$[/tex].

[tex]$$\begin{aligned}x =-6 y-7 \\x+7 =-6 y \\-\frac{1}{6}(x+7) & =y\end{aligned}$$[/tex]

The inverse of the function is [tex]$f^{-1}(x)=-\frac{1}{6}(x+7)$[/tex].

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Last year total amount generated=600×$6.

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Angle Between Two Vectors' Cosine Therefore, the dot product of the vectors by the product of their magnitudes may be used to get the cosine of the angle between two vectors.

The dot product formula reads: a b = |a| |b| cos, and it may be used to determine the angle between two vectors, a and b. This equals = cos-1 [(a b) / (|a| |b|)] when we solve for.

Angle Between Two Vectors' Cosine Therefore, the dot product of the vectors by the product of their magnitudes may be used to get the cosine of the angle between two vectors.

As a result, there is a 180 degree angle between the vectors a, b, and b, a.

90° is the angle formed by the two vectors.

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The width of the room for the given condition is [tex]7\frac{3}{4}[/tex] feet.

In mathematics, an expression is a group of numbers and operations. The components of a mathematical expression that perform an operation are as follows:

An operator is a symbol used to represent a mathematical operation. Examples include multiplication, division, addition, and subtraction.

Given the width of the nightstand [tex]3\frac{1}{4}[/tex] feet = 13/4 feet

and width of double-sized bed = 9/2 feet

width of room =  the nightstand and the bed arranged side by side

width of room = sum of width of nightstand and bed

width of room = 13/4 + 9/2

width of room = (13 + 9(2))/4

width of room = 31/4

width of room = [tex]7\frac{3}{4}[/tex] feet

Hence width of the room is [tex]7\frac{3}{4}[/tex] feet.

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The complete question is in image.

For all the given linear equation, values of x, Output, y = -125, 125, 200.

An equation with the form y = mx + b, where m is the slope and b is the y-intercept, serves as the basis for the theory in this question. Y = 2.5x, a linear equation with a slope of 2.5 and a y-intercept of 0, is the equation in this query.

The  step by step explanations are as follows:

1. Identify the equation given as y = 2.5x

2. Substitute the given x values into the equation:

- For x = -5, y = 2.5(-5) = -125

- For x = 05, y = 2.5(05) = 125

- For x = 10, y = 2.5(10) = 200

3. The final answer is:

- For x = -5, y = -125

- For x = 05, y = 125

- For x = 10, y = 200

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