Rosario and Enrique are in the same mathematics class. On the first five tests, Rosario received scores of 78, 77, 64, 86, and 70. Enrique received scores of 90, 61, 79, 73, and 87. How much higher was Enrique's average than Rosario's average?

Answer:

a power function is a function with a single term that is the prudoct of a real number

There is space to identify the important talents, abilities, and competencies a person will need because every company aims to attain financial stability by streamlining its operations using resources.

Every firm strives to achieve financial stability by streamlining its operations with resources, thus there is room available to identify the critical talents, abilities, and competencies a person will require.

Due to the advancement of financial deregulation, many nations around the world have experienced the benefits of rapid financial industry growth since the 1980s.

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Answer:

[tex]-\sqrt{2}[/tex]

Step-by-step explanation:

Note that:

[tex]a^2-2ab+b^2=(a-b)^2 = 4ab \\ \\ a^2 + 2ab+b^2 = (a+b)^2 = 8ab \\ \\ \implies \frac{a+b}{a-b}=\frac{\sqrt{8ab}}{-\sqrt{4ab}}=-\sqrt{2}[/tex]

Answer:

[tex]\sf \dfrac{a+b}{a-b}= -\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sf a^2 + b^2 = 6ab \qquad where\:\:0 < a < b[/tex]

Basic formula:

[tex]\sf (a + b)^2 = a^2 +b^2 +2ab[/tex]

[tex]\sf (a - b)^2 = a^2 + b^2 -2ab[/tex]

solve for a + b

[tex]\sf \rightarrow a^2 + b^2 = 6ab[/tex]

[tex]\sf \rightarrow (a+b)^2-2ab = 6ab[/tex]

[tex]\sf \rightarrow (a+b)^2 = 6ab+2ab[/tex]

[tex]\sf \rightarrow (a+b)^2 = 8ab[/tex]

[tex]\sf \rightarrow a+b = \pm \sqrt{8ab}[/tex]

solve for a - b

[tex]\sf \rightarrow a^2 + b^2 = 6ab[/tex]

[tex]\sf \rightarrow (a-b)^2 + 2ab = 6ab[/tex]

[tex]\sf \rightarrow (a-b)^2 = 6ab-2ab[/tex]

[tex]\sf \rightarrow (a-b)^2 = 4ab[/tex]

[tex]\sf \rightarrow a-b = \pm \sqrt{4ab}[/tex]

Now solve for (a + b)/(a - b)

[tex]\sf \rightarrow \dfrac{a+b}{a-b}= \dfrac{\pm\sqrt{8ab} }{\pm\sqrt{4ab} }[/tex]

[tex]\sf \rightarrow \dfrac{a+b}{a-b}= \pm \sqrt\dfrac{8ab }{4ab}[/tex]

[tex]\sf \rightarrow \dfrac{a+b}{a-b}= \pm \sqrt{2}[/tex]

As, the value of b is greater than the value of a and both the values a  and b are greater than 0. It turns the value of expression negative as the denominator will be always evaluated to negative integer and the numerator value always > 0. So, the answer will be negative, -√2.

[tex]\sf \rightarrow \dfrac{a+b}{a-b}= - \sqrt{2}[/tex]

Answer: this may not be correct but I think that the answer is 6.8 being greater than 6.6 since it is more closer to 7.0.

Step-by-step explanation:

Measurement is closest to the number of kilometers between these

two lighthouses is 219.2 kilometers.

Assume the distance between two lighthouses is x kilometers in 137 miles.

It knows there are approximately 8 kilometer in 5 miles.

Since the number of kilometers per mile is same

So    x:137=8:5

x/137=8/5

5x=1096

5x/5=1096/5

x=219.2

1 kilometer is equal to 0.621371 miles (often shortened to . 62). 1 mile is equal to 1.609344 kilometers. Thus, to convert kilometers to miles, simply multiply the number of kilometers by 0.62137.

The number of kilometers between these two lighthouses is 219.2.

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If Hawa pays a flat cost of $51.50 per month and $3 per gigabyte and she wants to keep her bill at $64.10 per month. then the equation which can be used to determine gigabyte is 51.50+3x=64.10 and the number of gigabytes of data Hawa can be used is 4.2 gigabytes

Given,

The flat cost = $51.50 per month

The cost per gigabyte = $3

She wants to keep her bill = $64.10

Consider the number of gigabytes used as x

Then the equation is

51.50+3x=64.10

3x=12.6

x=4.2

Hence, if Hawa pays a flat cost of $51.50 per month and $3 per gigabyte and she wants to keep her bill at $64.10 per month. then the equation which can be used to determine gigabyte is 51.50+3x=64.10 and the number of gigabytes of data Hawa can be used is 4.2 gigabytes.

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Answer: c

Step-by-step explanation:

Answer:

x = 16

Step-by-step explanation:

Answer:

0.063

Step-by-step explanation:

Answer:

Your answer would be 0.063.

Step-by-step explanation:

0.504 divided by 8 = 0.063

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Hi again! :)

God bless! :)

The slope intercept of the line is y = -1/3x -11

Slope-intercept is one of the special forms of line equation

The slope intercept of a line can be found by solving the slope-intercept equation of a line which is parallel to that line.

Slope-intercept equation is

y = mx + b

where m is the slope and b is the intercept.

The slope-intercept equation of the parallel line is

y = -1/3x + 4

The slope will be the same for both lines as they were parallel to each other.

Thus m = -1/3

The point in which the line passes is given as (-6,-9)

So with these data, We can find the intercept of the line

y = mx + b

where m = -1/3 and (x,y) is (-6,-9),Thus

-9 = -1/3(-6) +b

-9 = 6/3 +b

-9 = 2 + b

b = -9-2

b = -11

Thus the intercept of the line passing through the point (-6,-9) is -11

Thus, the slope-intercept equation of the line we need to find is

y = -1/3x -11

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Answer: -6/7

Step-by-step explanation: combine like terms.

Same signs; add, different signs; subtract.

The dimension of the triangle whose perimeter is 18 feet will be 4 feet, 6 feet, and 10 feet.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The perimeter of the triangle is determined by adding together all of its sides.

Let 'x' be the first side of the triangle. Then the second and third sides of the triangle will be (x + 2) and (2 + x + 2). Then the equation is given as,

x + (x + 2) + (x + 2 + 2) = 18

3x + 6 = 18

3x = 12

x = 4

Then the dimension of the triangle will be given as,

x = 4

x + 2 = 4 + 2 = 6

x + 2 + 2 = 4 + 6 = 10

The dimension of the triangle whose perimeter is 18 feet will be 4 feet, 6 feet, and 10 feet.

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Answer:

Step-by-step explanation: lengthxwidth

Answer:

28

Step-by-step explanation:

5(6) + (-2) = 30 + (-2) = 30-2 = 28

Answer:

28

Step-by-step explanation:

x=5  y=2

5x + y

5(6) + (-2)

30 + (-2)

30 - 2

28

15/20 gramos equivalen a 0 . 75 en forma decimal. Si se supone que las cantidades decimales deben sumarse, entonces 1 . 5

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

Espero que esto te ayude.

Que tengas un buen día y que Dios te bendiga. :)

Answer:

14,280...............enjoy

Answer:

$446.25

Step-by-step explanation:

1275 x 35% = 446.25

So, the television would be $446.25

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

Hope this helps!

Have a great day and God bless! :)

Answer: 161-80=81

(or 161-x=y?)

Step-by-step explanation:

subtract the the amount of snowballs made before Adrianna's dad called them in for lunch from the total number of snowballs (161-80)

161-80=81

The least ton is 4 ton and the greatest ton is 8 ton.

Given an approximation for the weight of African bush elephant.

If we take x as the weight of an African Bush elephant, then

4.4 < x < 7.7.

We are asked to find the least and greatest weights rounded to the nearest ton.

The least weight is 4.4. But when rounded to the nearest ton, we can consider the least weight at 4 tons.

Likewise, the greatest weight is 7.7 tons.

But the greatest weight rounded to the nearest ton = 8 tons

We rounded 4.4 to 4 because the decimal digit 4 is less than 5.

Also we rounded 7.7 to 8 because the decimal digit 7 is greater than 5.

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Answer:

The answer should be 10.5 from what i have seen in the past

Step-by-step explanation:

He finished the number of books by the time he arrived = 3.3 books, b) she withdrew $15 from her bank account. c) 6 people have nothing on their feet.d) He must wait before he can buy the pair of shoes = 20 minutes. e) After dividing the bank gives him 700 nickels = $35. f) She spent more money on lunch than breakfast  = $3. g) After eating the mirage slices left = 6 slices. h) He has more green highlighter than blue  = 3

a) professor finished  3 books by the time he arrived.

   Professor x traveled to see jean grey = 1500 miles

   He read one book he traveled = 450 miles

    So,

   He finished books by the time he arrived by dividing both the numbers = 1500/450

      He finished total books by the time he arrived = 3.3 books

b) Storm had money = $74

She bought a pair of slacks = $34

She bought two shirts = $16

She bought a pair of shoes = $24

After shopping she left with = $15

Storm expenses on the items = $34 + $16 + $24

                                              = $74

So, after shopping she left with $15 so it is clear that she withdrew $15 from her bank account.

c) Pacific northwest geocachers in wolverine’s living room = 12

Wearing shoes = 4

Wearing socks = 6

Wearing both socks and shoes = 4

As we know 4people wearing both socks and shoes

So, 2 people are wearing only sock

And no people wearing only shoes = 4-4=0

So, in total 4+2+0= 6

Now, 12 people are there

So, 12-6=6

So, 6 people have nothing on their feet.

d) Cyclops waited 20 minutes

Cyclops will buy a new pair of shoes = 1200 seconds

Here, 60 minutes = 3600 seconds

Now, divide 1200 seconds by a minute (1 minute = 60 sec)

 He must wait before he can buy the pair of shoes = 1200/60

  He must wait before he can buy the pair of shoes = 20 minutes

e) Quicksilver collected nickels in a jar  = 700

First, we have to calculate  how many cents are there in 700 nickels by multiplying 700 * 5, and then dividing that result by 100 cents

=700 nickels x 5 cents

= 3,500 cents   ( 100 cents = $1)

= 3,500 cents / 100 cents

The bank gives him 700 nickels = $35

f) For breakfast, Mystique bought a bagel = $1.55

A glass of orange juice = $2.25

At lunch,

On sandwich, she spent = $6.25

On a carton of milk, she spent = $0.55

Total spent on breakfast = $1.55+$2.25

                                       = $3.80

Total spent on lunch = $6.25+$0.55

                                = $6.80

She spent more money on lunch than breakfast =  $6.80-$3.80

She spent more money on lunch than breakfast  = $3

g) Mirage had 3 pizzas

Each pizza had = 8 slices

So, After multiplying total number of slice we have of the pizza = 3*8

                                                                          = 24 slices

He ate 75% of the pizza slices                         = 75/100 * 24

                                                                          = ¾ * 24

After multiplying,  he ate pizza slice                =   3 * 6

                                                = 18 slices

So, after eating by the mirage slices left = 24-18

                                                               = 6 slices

h) He has 3 more green highlighters than blue highlighters.

 In the iceman desk drawer, the number of  yellow highlighters are = 19

 As given, there are 15 more blue highlighters than yellow in his desk drawer

 Then,

 the number of blue highlighters  = 19+15

                                                           = 34

There are total numbers of green highlighters = 37

He has more green highlighters than blue highlighters = 37-34

                                                                                      = 3

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Answer:

Step-by-step explanation:

"rise" is 10 units

"run" is 6 units

m = [tex]\frac{rise}{run}[/tex] = [tex]\frac{10}{6}[/tex] = [tex]\frac{5}{3}[/tex]

m = [tex]\frac{5}{3}[/tex]

The population of the dark city in 2015 will be 449,245.

Let a be the initial value and x be the power of the exponent function and b be the increasing factor.

The exponent is given as

y = a(b)ˣ

The dark city had a population of 350,000 in 1990 and has increased exponentially since then, to 475,000 in 2008. Then the equation will be

350,000 = a(b)      ...1

475,000 = a(b)¹⁸      ...2

From equations 1 and 2, then we have

475,000 / 350,000 = b¹⁷

b = 1.018

Then the value of the variable a will be

350,000 = 1.018a

a = 343768.87

Then the equation will be

y = 343,768.87 (1.018)ˣ

The population in 2015 will be

y = 343,768.87 (1.018)¹⁵

y = 343,768.87 x 1.3068

y = 449,245

The population of the dark city in 2015 will be 449,245.

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Answer:

71.

Step-by-step explanation:

The "machine" is subtracting 6 from whatever number she puts in. Ergo, 77 - 6 = 71.

The solution set of the equation 3X=-6/1-X for x # 1 is {-2,1)

3x = -6/(1-x)

3x(1-x) = -6

3x – 3x2 = -6

Taking 3 as common from both sides

x –x2 = -2

x2 – x +2 =0

Using factorisation method we will get two factors

Factoring quadratics is a method of expressing the quadratic equation ax2 + bx + c = 0 as a product of its linear factors as (x - k)(x - h), where h, k are the roots of the quadratic equation ax2 + bx + c = 0. This method is also is called the method of factorization of quadratic equations. Factorization of quadratic equations can be done using different methods such as splitting the middle term, using the quadratic formula, completing the squares, etc.

( x – 2)(x+1)=0

So, x = 2 , -1

Now, when x ≠ 1

The solution of the equation will vary from {-2,1) .

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Answer: Because They are literally the same!

Step-by-step explanation:

So listen, The base of a cone is

1. Flat

2. Circle

3. no sides

And a circle has these characteristics too!

So here is your answer Brainliest and thanks  + 5 STAR ⭐

Answer:

10

Step-by-step explanation:

Distance formula:

d = √(x₂-x₁)²+(y₂-y₁)²

A (1,2) D (4,3)

d = √(4-1)²+(3-2)² = 3.16227766

All 4 sides of a square are equal lengths.

The equation for the area of a square:

A = a²

A = (3.16227766)² = 10

Answer: 5y + x + 12

Step-by-step explanation:

9y + 3 - 4y + x + 9

Group together 9y and -4y

5y + 3 + x +9

Group together 3 + 9

5y + 12 + x

Reorder the expression.

5y + x + 12

Answer:

The first, third, and fourth.

Step-by-step explanation:

Those answers involve scaling the measurement up, which requires a positive power of 10. For scaling down, you'll need a negative power of 10, e.g., 2x10^-2=0.02.