5. What Is The Area Of A Rectangle With A Length Of X-a And A Width Of X + B? (A) X-a (B) X + B (C) X (2024)

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

What is meant by NIMS Management?

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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The expression 4(30+5) rewritten using the distributive property of multiplication over addition is 4(30) + 4(5).

The correct answer choice is option C

What is distributive property?

The distributive property states that multiplying the sum of two or more addends by a number gives equal result as multiplying each addend individually by the number and then adding the products together.

4(30 + 5)

= 120 + 20

= 140

4(30) + 4(5)

= 120 + 20

= 140

Therefore, 4(30) + 4(5) is equivalent to 4(30 + 5) using distributive property.

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Therefore , the solution of the given problem of inequality comes out to be m > 4.24.

What is inequality, exactly?

In mathematics, an inequality is a relationship of linear solution or integers without the equal sign. Inequity inevitably leads to imbalance. When two numbers are not equal, there is an inequality between them. Between equality and inequality, there are differences. In instances when the variables aren't similar or equal, I've used the most common symbol (). There are many inequalities that may be utilised to compare values regardless of how small or huge they are.

Here,
Given :

=> m² + 3> 21

=> m² > 21-3

=> m² > 18

=> m > √18

=> m > 4.24

Therefore , the solution of the given problem of inequality comes out to be m > 4.24.

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Answer:

The graphs of y = 3x + 4 and y = 3x + 7 are parallel because their slopes are the same (3).

The graphs of y = 2x - 5 and y = 5x - 5 are neither parallel nor perpendicular because their slopes are not the same (2 and 5).

The graphs of y = 3/5x - 3 and 5y = 3x - 10 are neither parallel nor perpendicular. The first equation is not in slope-intercept form, and the second equation is not in standard form.

The graphs of y = 7x + 2 and x + 7y = 8 are neither parallel nor perpendicular. The first equation is in slope intercept form, but the second equation is not.

The graphs of y = -4x + 1 and 4y = x + 3 are perpendicular because the product of their slopes is -1.

The graphs of y = -1/3x + 2 and y = 3x - 5 are neither parallel nor perpendicular. The slopes are -1/3 and 3, which are not the same, so the lines are not parallel, and their product is not -1, so the lines are not perpendicular.

The graph of y = 4 is a horizontal line and the graph of 4y = 6 is not a function. So, they are neither parallel nor perpendicular.

The graphs of y = 5/6x - 6 and x + 5y = 4 are neither parallel nor perpendicular. The first equation is in slope intercept form, but the second equation is not.

Step-by-step explanation:

The percent of water in the mixture is

p[tex]^{w}[/tex]=m[tex]^{w}[/tex]/m×100%=

52 oz/65oz×100%

=80%

What is mixture?A mixture is a compound made up of two or more chemical components that are not chemically linked. A mixture is a physical blend of two or more substances that preserve their identities and are blended in the form of solutions, suspensions, or colloids.A mixture is a material that is made up of two more chemical compounds or substances that do not combine together chemically. It is actually the physical combination of two or more substances that are able to retain their identities while they are mixed in form of solutions, suspensions, or colloids. You can separate them by physical methods. In any mixture, the various components do not form through any kind of chemical change. Therefore, the components’ individual properties remain intact.

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The expression that illustrate the diagram below is f(x) = 47-2x

What are linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1.

In the diagram, the total no of box is 45 and 2 boxes are missing on the second box. Therefore the constant in the the expression is 45+2 = 47. Let x be the variable.

Therefore f(x) = 47-2x

when it is pattern 1

x= 1

f(1) = 47-2 = 45

when it's pattern 2

f(x) = 47-2×2 = 43

when it's pattern 3

f(x) = 47- 2×3 = 41

therefore the expression that can illustrate the diagrams is f(x) = 47-2x

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The other leg must be equal to X, and X has a measure of 90°. Therefore, the correct answer is D) 90.

What is congruence?

Answer:

I think 0.15b would be a no because that is just what a customer would tip.

15b is also a no because that is 15 times the price of the bill.

b + 0.15b is a yes because you are adding the bill and 15% of the bill as a tip.

1.15b is a no because you are multiplying the bill by 1.15.

1.015 is a no because you're multiplying the bill by 1.015.

b + (15/100)b is a yes because you are adding the bill and 15% out of 100% of the bill as a tip.

b + 0.15 is a no because you would be tipping them 15 cents, not 15% of the bill.

We’ll use the segment addition postulate, which states that we can add two adjacent (next to each other) segments to find the total length.

We are given the total length as segment GI=2x+15, and we will solve for x. So, we can add the two expressions together to equal the length of segment GI.

Let’s form an equation:

GH+HI=GI

Substitute the corresponding values in for GH, HI, and GI:

(3x+8)+(2x+1)=2x+15

Solve for x:

Combine like terms:

(3x+2x)+(8+1)=2x+15

5x+9=2x+15

Subtract 2x from both sides:

5x-2x+9=15

3x+9=15

Subtract 9 from both sides:

3x=15-9

3x=6

Divide both sides by 3:

3x/3=6/3

x=2

Let’s check if this is correct. Substitute x=2 back into the equation:

(3(2)+8)+(2(2)+1)=2(2)+15

Simplify using PEMDAS:

(6+8)+(4+1)=4+15

14+5=4+15

19=19

So, the answer is: x=2

The maximum exposure incorporating all types of ad is equal to 54000 viewers.

What is simplex method?

simplex method, standard technique in linear programming for solving an optimization problem, typically one involving a function and several constraints expressed as inequalities. The inequalities define a polygonal region, and the solution is typically at one of the vertices. The simplex method is a systematic procedure for testing the vertices as possible solutions.

Given here: A store with $9000 monthly advertising budget.

n = the number of newspaper ads

r = the number of radio ads

t = the number of TV ads

This is a linear programming problem with the following constrains:

0 ≤ n ≤ 30

0 ≤r ≤60

0 ≤ t ≤ 20

600b + 30r + 3000t≤9000 divide both sides by 30

20n + r + 100t ≤ 300

The objective function is:

F(n, r, t) = 4000n + 3000r + 12000t

Use simplex method or any other method to find the maximum that Max F (n,r,t)=54000

Hence, The maximum exposure incorporating all types of ad is equal to 54000 viewers.

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Answer: -9

Step-by-step explanation: f(x)=f(-1) meaning that x=-1, so you plug the value of x into the equation. 4(-1) - 5 = -4 - 5 = -9

After 99 days, Karen is required to pay $14,436.63 in full, plus $139.63 in interest.

What is simple interest?

Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.

Given, Karen obtains a loan for home renovations from a bank that charges simple interest at an annual rate of 3.6%. Her loan is for $14,300 for 99 days.

From the formula of simple interest(SI) :

SI = P * R * T / 100

Where p = principal amount

r = rate of interest

T = time

In our case

p = 14300

r = 3.6

time = 99/365

Simple interest = (14300* 3.6 * 99) / 36500

Simple interest = (143 * 3.6 * 99) / 365

Simple interest = 139.63

The total amount she has to pay = principal amount + SI

The total amount she has to pay = 14300 + 136.63

The total amount she has to pay = 14,436.63

therefore, Karen has to pay $139.63 interest and $14,436.63 Total amount after 99 days.

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The arrangement of 26/4, 6.45, 6 2/5, and 50/8 in order from least to greatest is C. 50/8, 6 2/5, 6.45, 26/4.

How can the order be determined?

The concept that will be used here is ordering of numbers using < signs.

To arrange the shows, we can convert 26/4, 6.45, 6 2/5, and 50/8 to decimal so this will help us to determine the order.

26/4=6.50

6.45=6.45

6 2/5=32/5 = 6.40

50/8 =6.25

Then 6.25<6.40 <6.45 <6.50 and this implies that the order that the arrangement follows is 50/8, 6 2/5, 6.45, 26/4

Therefore, option C is correct.

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Achilles ran 2 minutes to reach the finish line.

What is Speed?

Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.

Speed is a scalar quantity as it only has magnitude and no direction.

Let d be the total distance in miles from the starting line to finish line.

Let t be the time taken to complete the distance by Achilles.

Speed = Distance / Time

Speed of Achilles = 13 mph

13 = d / t ⇒ t = d / 13

Speed of Turtle = 1 mph

In the same time t, Turtle is 2/5 of a mile behind Achilles.

1 = (d - 2/5) / t ⇒ t = d - 2/5

We have t = d / 13 and t = d - 2/5

d / 13 = d - 2/5

d = 13 (d - 0.4)

d = 13d - 5.2

12d = 5.2

d = 0.43333 mile

Now substitute the value of d in the equation t = d / 13,

t = 0.4333 / 13 = 0.03333 hour = (60 × 0.0333) minutes = 2 minutes

Hence the time taken to reach the finish line by Achilles is 2 minutes.

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Answer:

P = 0.886 (88.6%)

Step-by-step explanation:

Of the 44 students there are 5 who do not apply to be chosen

[tex]P=\frac{44-5}{44} =\frac{39}{44} =0.886[/tex]

P = (0.886)(100) = 88.6%

Hope this helps.

The angles m∠1 = 2x ° and m∠2 = x + 42 ° are complementary angles, and their measures are m∠1 = 32° and m∠2 = 58°.

What are complementary angles

Complementary angles angles are those angles when added together sum up to 90°. That is the sum total of complementary angles is 90°.

m∠1 + m∠2 = 90°

2x° + x + 42° = 90°

3x + 42° = 90°

3x = 90° - 42°

3x = 48°

x = 48°/3

x = 16

Therefore, the complementary angles have their measures to be:

m∠1 = 2(16) = 32°

m∠2 = 16 + 42° = 58°

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Answer:

so the answer is

Step-by-step explanation:

-3/2

so how I got this is -4 1/2 would be

-9/2 so your new equation is 3+ -9/2 then you would just do keep change flip so no 3/2 - -9/2 and then you would get -3/2.

Answer:

55°

Step-by-step explanation:

First look at the 130. Since we know all these lines are straight, that means 130 and the angle adjacent to it is a supplementary angle. This means that you can take 180 and subtract 130 to get the inside angle. Now that you have two of three angles of the triangle, you can take 180 and subtract both of the known angles to get your final answer.

Answer:

it's b for sure young man

Answer:

360°

Step-by-step explanation:

The sum of the exterior angles of any n-gon is 360°

The P value of the Z statistic is given as : 0.049. Option D

How to find the p value from the test statistic

The p value is what tells you how likely that you value has occurred under the null or H0. To find the p value, you would have to make use of the z table. This would be gotten from the z value of the data set.

From the table given that the z test is found to be equal to -1.66, the p value that would correspond to this is 0.049

Hence the given the data provided here, the p value is 0.049.

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Complete question

Kristy randomly samples the out-of-state tuition and fees for 25 public universities and found a mean of $20,876 with a standard deviation of $2,494. Using the alternative hypothesis that µ < $21,706, Kristy found a z test statistic of -1.66.

Given the data provided, what is the p-value of the z-test statistic? Answer choices are rounded to the thousandths place.

a.)

0.097

b.)

0.903

c.)

0.952

d.)

0.049

The exponential function f(x) = 2(4)ˣ doesn't belong to the other three.

What is an exponential function?

A mathematical function is an exponential function. The word, unless expressly stated differently, refers typically to the positive-valued function of a real variable. However, it can be extended to complex numbers or adapted to other mathematical objects like matrices or Lie algebras.

Here, we have

Given:

y = 3ˣ,

f(x) = 2(4)ˣ

f(x) = (-3)ˣ

y = 5(3)ˣ

We have to determine which equation does not belong with the other three.

We concluded that

All equations are multiples of 3 but f(x) = 2(4)ˣ is not a multiple of 3.

Hence, the exponential function f(x) = 2(4)ˣ doesn't belong to the other three.

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Answer: 6y + 36

Step-by-step explanation:

6(6+y)

= 6 * 6 + 6 * y

=36 + 6y

= 6y + 36

Answer:

let Length = x

then width = x -2 (2 inches less than length

now

A = Lw

35 = x (x -2)

35 = x2 - 2x

x2 -2x -35 = 0

(x-7)(x+5) = 0

x-7=0

x=7

so length = 7

width = 7 -2 = 5

Hope this helps

Step-by-step explanation:

y= 19/3x+3

solution: i just finished this unit in class

Answer:

Ashley

Step-by-step explanation:

Lets understand the conditions.

Carlos < Ashley < Brianna

David < Carlos

Clearly, this tells us that David < Carlos < Ashley < Brianna, meaning the order is

David, Carlos, Ashley, Brianna

Since Ashley was interviewed third, she is the first year student

Cheers

Answer:

Step-by-step explanation:

It's literally outlined. Just remove the points D AND A.

In mathematics, it should be noted that an area model is a rectangular diagram which is used to multiply and divide two numbers or expressions, in which the factors or the quotient and divisor define the length and width of the rectangle.

What is a area model?

When solving problems involving multiplication and division in mathematics, an area model is a model or rectangular diagram where the length and width of the rectangle are determined by the factors or quotient and division.

You can calculate the area of a rectangle whose length is 48 units and width is 21 units by multiplying 48 by 21. In this case, this can be Illustrated in an area model.

Note that your information is incomplete and a overview was given.

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The table that represents the situation when a mattress store is having a sale and are 30% off will be D. Table D.

How to calculate the sales price?

From the information given, the table that represents the situation when a mattress store is having a sale and are 30% off.

In this case, Nate wants to know the sale price of the matress that is regularly $1000.

The price after the discount will be:

= $1000 - (30% × $1000).

= $1000 - $300

= $700

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Answer:

False

Step-by-step explanation:

To make this true the proportion would be 3

Answer:

The proportion is true

Step-by-step explanation:

3/5 = 0.6

3/5/2 = 0.6/2 = 0.3

1.8/6 = 0.3

So the proportion is true