Find the distance between points A and B. A = (3,-7) B = (3,1)

The order of numbers from Greatest to Least is 5.385, 2.714, 1.538, 0.612.

Arranged in a series that begins with the greatest or largest and ends with the least or smallest.

We can also call it Greatest to Least.

To order the number from greatest to least first we have to find the value of  given square root,

√29 = 5.385

√6/4 = 0.612

19/7 = 2.714

Now, we have the numbers :

5.385, 0.612, 2.714, 1.538

So, we will arrange the above numbers greatest to least

1) 5.385

2) 2.714

3) 1.538

4) 0.612

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5n² can be expressed as, 5n² =  3² x 5⁵ x x⁶

Given that n can be written as the product of the primes as

n = 3 x 5² x x³

This expression for n is called the prime factorization of n.

We need to express 5n² as such a product of primes.

For that taking square of n, add the power 2 with the existing powers of 3,5 and x,

So, n² = ( 3 x 5² x x³)² = 3² x 5⁴ x x⁶

So 5n² = 5(3² x 5⁴ x x⁶)

Multiplying 5 with the existing power of 5, 5⁴,

⇒ 5n² = 3² x 5⁵ x x⁶

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Answer:

1. m ∠ 1 = 86°

  m ∠ 2 = 4°

- Problem in the picture

2. m ∠ 1 = 6°

   m ∠ 2 = 84°

Step-by-step explanation:

I'm confused, so I'll just solve both problems (assuming that they are the same type of angle)

1.

m Z1 = (x+84)° and m2 = 2xº.

m ∠ 1 = (x + 84)°

m ∠ 2 = 2x°

Complementary angles are equal to 90°

(x + 84) + 2x = 90

x + 84 + 2x = 90

3x + 84 = 90

      -84    -84

----------------------

3x = 6

÷3  ÷3

-----------

x = 2°

m ∠ 1 = (x + 84)°

m ∠ 1 = (2 + 84)°

m ∠ 1 = 86°

m ∠ 2 = 2x°

m ∠ 2 = 2(2)°

m ∠ 2 = 4°

2. (Problem in the picture)

m ∠ 1 = (x - 6)°

m ∠ 2 = 7x°

Complementary angles are equal to 90°

(x - 6) + 7x = 90

x - 6 + 7x = 90

8x - 6 = 90

     +6    +6

---------------------

8x = 96

÷8    ÷8

----------------

x = 12

m ∠ 1 = (x - 6)°

m ∠ 1 = (12 - 6)°

m ∠ 1 = 6°

m ∠ 2 = 7x°

m ∠ 2 = 7(12)°

m ∠ 2 = 84°

I hope this helps!

Answer:

$167.50

Step-by-step explanation:

Since the state pays 40% of the health insurance, Maggie will have to pay 100 - 40 = 60% of the insurance amount annually

60% = 0.6 decimal

So Maggie pays 0.6 x 6700 = $4,020

Maggie is paid semi-monthly ie 2 paychecks a month

In a year, there are 12 months so Maggie receives 24 paychecks annually

The total insurance amount of 4020 is split over 24 paychecks

So each paycheck deduction will be 4020/24 = $167.50

Answer:

[tex] \large{ \boxed{ \tt{answer : \boxed{ \tt{ k = 73 \degree}}}}}[/tex]

Please see the attached picture for full solution!

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The following figures are Line, Ray, Line Segment, Parallelogram and Cuboid in the sequential order.

a) Line - A line is a two-dimensional figure. It is a group of points joining together to form a single entity which extends in both directions infinitely. It has no end points.

b) Ray - A ray is a two-dimensional figure. It is a group of points joining together to form a single entity, but it extends infinitely in only one direction. It has one end point.

c) Line segment - A line segment is a two-dimensional figure. It is a group of points joining together to form a single entity, but it does not extend infinitely in any direction. It has two end points and a finite length.

d) Parallelogram - A parallelogram is a two-dimensional figure having 4 sides whose opposite sides are equal in length and also parallel to each other. The diagonals of the parallelogram intersect each other at equal distance.

e) Cuboid - A cuboid is a three-dimensional figure made up of rectangular faces of varying length, breadth and height. The opposite faces of a cuboid are similar in dimensions. It has 12 edges, 12 vertices and 6 faces.

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The angle between a diagonal of a cube and an adjacent edge is 54.75°;

Assuming the length of a side of the cube as 1 unit, the three sides are given by the vectors;

a = (1, 0, 0)

b = (0, 1, 0)

c = (0, 0, 1)

The diagonal is given by the vector, v = (1, 1, 1)

The angle between the diagonal and one edge of the cube is given by

cos θ = v. a / |v|.|a|

v. a = (1, 1, 1).(1, 0, 0)

= 1(1) + 1(0) + 1(0

= 1 + 0 + 0

v. a = 1

Magnitude of vector V = √[(1)² + (1)² + (1)²]

|v| = √3

Similarly, |a| = √1;

So, |v|.|a| = √3.√1 = √3

Now, cos θ = 1/√3

So, θ = cos¹(1/√3)

θ = 54.75°

Therefore, the required angle is 54.75°.

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72/8 = 9,

9x5 = 45 boys

Therefore answer is 45 boys

Step-by-step explanation:

please find attached file for the problem. hope it will help you , let me know if you have any further query

1.  The elements of the set are {m, I, s, p}

The elements of the set are the letters in Mississippi. Elements cannot repeat themselves.. So the elements of this set would be {m, I, s, p} since all the other letters are just repetitions.

2. Set of months in a year are

{January,February,March,April,May,June,July,August,September,October,November,December}

3. Verbal Descriptions: It is a verbal description of the set is an English sentence to specify a law that allows us to decide the category of objects to be addressed and to determine whether it is in the set for any particular object.

Since, 3, 6  and 9 are divisible by 3 also less than 10.

4.  Verbal description of the set {a,e,i,o,u} is vowels

In English these five alphabets{a,e,i,o,u} are known as vowels .

since the given set contains only vowels.

5. Yes (1,3,5) is the subset of odd integers.

The set of odd integers is the superset containing elements :-

Let A = { 1 , 3 , 5 , 7 , 9 ,..... ,( 2n + 1 ) }

And,

B = { 1 , 3 , 5 }

B is a subset of A because all elements of B lie in A .

6. Yes (a,b,c) is the subset of letters of the alphabet.

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The population of this fast food business is made up of all customers who use the drive-thru window, whereas the sample, or representative group of the population, is made up of every fifth customer as per the concept of statistics.

What are statistics?

A population is a total group from which a statistical sample is taken in statistics. Here, the manager only inquires about the fifth customer's pleasure after becoming interested in his drive-through staff. Therefore, those customers who do not use the drive-thru window at this restaurant are not part of the sample population about whom it is possible to inquire.

As a result, the population of this fast food business is made up of all customers who use the drive-thru window, whereas the sample, or representative group of the population, is made up of every fifth customer.

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The required simplified value of x² +7x +12 divided by x + 2 is x + 5 + [2 / (x + 2)].

To determine the simplified value of  x² +7x +12 divided by x + 2.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
As per the given data,
Division of function,
=  x² +7x +12/ x + 2
= x² + 7x + 10 + 2 / x +2
= (x + 5)(x + 2) + 2 / x + 2
= (x + 5) (x + 2) / x + 2 + 2 / x + 2
= x + 5  + 2 / (x + 2)

Thus, the required simplified value of x² +7x +12 divided by x + 2 is x + 5 + [2 / (x + 2)].

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Answer:

Range is 12 and mean is -6

Step-by-step explanation:

To find the mean, add together all the numbers and divide by 7.

129 is the value of expression .

What is PEMDAS?

We use , P/E/M/D/A/S (Parenthesis, Exponents, Multiply, Divide, Add, and Subtract)

8^2 + 9(12/3*2) - 7

= 64 + 9(8) -7

= 64 + 72 - 7

= 129

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If a fisherman can row upstream at 2 mph and downstream at 8 mph. He started rowing upstream until he got tired and then started downstream to his start point. How far did the fisherman row if the entire trip took 2 hours is: 6.4 miles.

Let d = the distance to the turn around point

Time = Distance/ Speed

Up time + Down time = 2hrs

d/2 +d/8 =2

Multiply by 8

8×d/2 +8×d/8 =8 (2)

4d + d = 16

5d = 16

Divide both side by 5d

d=16/5

d = 3.2 miles to turn around

Hence,

Round trip = (3.2 miles ×2)

Round trip= 6.4 miles

Therefore If a fisherman can row upstream at 2 mph and downstream at 8 mph. He started rowing upstream until he got tired and then started downstream to his start point. How far did the fisherman row if the entire trip took 2 hours is: 6.4 miles.

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The ounces of raisins and peanuts needed for different numbers of serving are :

for 4 serving = 8 raisins and 12 peanuts

for 12 serving = 24 raisins and 36 peanuts

According to the question we have been given that in one number of serving the ratio of number of ounces of raisins to the number of ounces of peanuts is given as :

                               ratio = 2 : 3

We need to find ounces of raisins and peanuts needed for different numbers of serving.

For 4 serving,

              Raisins = 4*2 = 8

              Peanuts = 4*3 = 12

and we see that their ratio = 8/12 = 2/3

For 12 serving,

               Raisins = 12*2 = 24

              Peanuts = 12*3 = 36

and we see that their ratio = 24/36 = 2/3

Hence the ounces of raisins and peanuts needed for different numbers of serving are :

for 4 serving = 8 raisins and 12 peanuts

for 12 serving = 24 raisins and 36 peanuts

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The common statistical method of expressing the precision of a series of repetitive measurements is the standard deviation.

It should be noted that the standard deviation is the measure of how dispersed the data is in relation to the mean.

It should be noted low standard deviation implies that data are clustered around the mean, and high standard deviation means data are more spread out.

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The collection of current NFL players is well defined and is a set

Step-by-step explanation:

For a collection to be termed as a set, it is necessary that it has distinct objects that are defined.

For example, a set of first 10 natural numbers is

A= [1,2,3,4,5,6,7,8,9,10]

It is well defined and therefore called as set which has first 10 natural numbers as its elements.

Same is the case with the collection of current NFL players.

The collection contains defined number of players. Therefore, this collection is called a set.

The members of the collection or team will be known as the elements of the set.

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The number of co-workers that like gumdrops and chocolate is 7 (option b).

The mathematical operations that would be used to determine the answer are addition and subtraction.

Addition is determining the total value or summing two or more numbers. The sign used to represent addition is +. Subtraction is the process of determining the difference between two or more numbers. The sign used to denote subtraction is -.

The first step is to add the total number of people who like a particular type of candy : 10 + 8 + 2 + 3 + 5 = 28

The second step is to subtract that number gotten in the previous step from the total number of co-workers.

Co-workers that like both chocolate and gum drops = 35 - 28 = 7

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Answer: -2, 2

Step-by-step explanation:

The derivative of a function, f(x), at a point where f(x) has a sharp turn (or cusp) does not exist.

The derivative of a function, f(x), at a point where f(x) has a vertical tangent line does not exist.

Using this information, we can see that f(x) is not differentiable when x=3 since there is a vertical tangent line. We can also see that f(x) is not differentiable when x=-1 since there is a cusp.

Let the height of the cup be h and the extra length be d.

So, when the one cup is placed over another the total height will be h+d.

So, when the one cup is placed over another the total height will be h + d.

When the four cup is placed over each another h + 3d = 11 cm.

So the generalised equation will h +(n-1)d where n is the total number of cups.

When the eight cup is placed over each another = h + 7d = 16.4 cm

h + 3d = 11 cm

h + 7d = 16.4 cm

On solving the above two equation we will get d = 1.35 cm and h = 6.95 cm

So when we put 10 cups on each other  = h +9d

6.95 + (9*1.35) = 19.1

Hence, the height of 10 cup will be 19.1cm.

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The problem two thirds(6j+9)=3j+7 has one solution.

The given problem is 2/3(6j + 9) = 3j + 7

In order to determine the number of solutions, take the following steps:

Expand the bracket on the left:

(2/3 x 6j) + (2/3 x 9)

4j + 6

4j + 6 = 3j + 7

Combine similar terms :

4j - 3j = 7 - 6

Add similar terms

j = 1

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Step-by-step explanation:

speed = mph or miles/hour

so, when we are dealing with a distance and compare the time spent on the distance, we have to divide distance by speed

miles / miles/hour = hour

so, we have

m/4 + m/3 = 2

as the sum of the time it took to walk the distance at 4mph and the time it took to walk the distance at 3 mph is 2 hours.

now we multiply by the denominators one after the other to eliminate the fractions.

m + 4m/3 = 8

3m + 4m = 24

7m = 24

m = 24/7 = 3.428571429... miles

Answer:

tyyyy is my final answer

The function will become:

f ( x ) = 3 x ; 0 ≤ x ≤ 2

f ( x ) = 6 + 4 ( x - 2) for 2 < x ≤ 5

f ( x ) = 20 for x > 5

We are given that:

The parking garage charges $ 3 per hour if the car is parked there for less than 2 hours.

So, we get that:

Parking fees = 3 x for 0 ≤ x ≤ 2

Now, we get that, if the car is parked for more than 2 hours and less than 5 hours, then the parking fee is

6 + 4 ( x - 2) for 2 < x ≤ 5

Now, we are given that it charges a fixed fee of $ 20 if car is parked for more than 5 hours. So, the parking fee will be

20 for x > 5

So, the function becomes:

f ( x ) = 3 x ; 0 ≤ x ≤ 2

f ( x ) = 6 + 4 ( x - 2) for 2 < x ≤ 5

f ( x ) = 20 for x > 5

Therefore, we get that, the function will become:

f ( x ) = 3 x ; 0 ≤ x ≤ 2

f ( x ) = 6 + 4 ( x - 2) for 2 < x ≤ 5

f ( x ) = 20 for x > 5

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The system of inequalities are:

h + c ≤ 100

3h + 3.5c ≥ 80

Here are inequality signs and what they mean:

Here are the system of inequalities :

number of hamburgers sold + number of cheeseburger sold  ≤  total number of buns

(cost of one hamburger x number of hamburger sold) + (number of cheeseburger sold x number of cheeseburger sold) ≥ $80

h + c ≤ 100

3h + 3.5c ≥ 80

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The polynomial is:

f(x) = -2*(x + 5)*(x - 4)*(x - 1)*(x - 1)

Let's assume the leading coefficient is A, we know that the degree is 4, the y-intercept is 40, and we have the roots (-5, 4, 1, 1)

Then the polynomial is:

f(x) = A*(x + 5)*(x - 4)*(x - 1)*(x - 1)

Now we use the fact that the y-intercept is 40, so we have:

f(0) = 40 = A*(0 + 5)*(0 - 4)*(0 - 1)*(0 - 1)

        40 = A*-20

        40/-20 = A = -2

Then the polynomial is:

f(x) = -2*(x + 5)*(x - 4)*(x - 1)*(x - 1)

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Answer:

67

Step-by-step explanation:

Each time the number goes up by 7. After 9 moretimes 4 will increase by 63.

4+63=67.

The 10th term should be 67