what 93 by the power of 7

Answer:

Explanation:

The median is the value corresponding to the line inside the box. Looking at the box plot, the line is between 8 and 9. Thus,

Median = 8.5

To find the measure of variability, we would find the interquartile range, IQR

IQR = third quartile(Q3) - first quartile(Q1)

The first quartile is the value corresponding to the left end of the box. From the box plot, it is between 5 and 6. Thus,

Q1 = 5.5

The third quartile is the value corresponding to the right end of the box. From the box plot,

Q3 = 11

Thus,

IQR = 11 - 5.5

IQR = 5.5

The range is the difference between the minimum and maximum values. On the box plot,

maximum value = 13

minimum value = 1

Range = 13 - 1

Range = 12

Answer: 2.5, 5.4

Step-by-step explanation:

[tex]-16t^2 +126t=213\\\\16t^2 -126t+213=0\\\\t =\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(213)}}{2(16)}\\\\t \approx 2.5, 5.4[/tex]

For the following equations, by the trial and error method in 2(p-3) =6  the value of p is 9

Trial and error is assuming a value for a unkown variable, observing if it works, and if it doesn't trying a new value for the variable.

2p-3 = 15

p=6

2(6) -3 = 9

p=7

2(7)-3 = 11

p=8

2(8)-3 = 13

p=9

2(9)-3 = 15

so, p is 9

For the following equations, by the trial and error method in 2(p-3) =6  the value of p is 9

To learn more about algebra refer here

https://brainly.com/question/22399890

#SPJ9

The length of the guy wire, using similar triangles, is of:

43 feet.

Similar triangles are triangles that share these two features listed as follows:

The height h of the tower can be found using similar triangles, as the two right triangles are similar.

The equivalent measures are given as follows:

Hence the proportional relationship is:

h/7 = 17/3

Applying cross multiplication:

3h = 17 x 7

h = 17 x 7/3

h = 39.67 ft.

Then, applying the Pythagorean Theorem, the length of the guy wire is of:

l² = 39.67² + 17²

l = sqrt(39.67² + 17²)

l = 43 feet. (rounded down).

(the pythagorean theorem is applied as the length of the guy wire is the hypotenuse of the right triangle).

The problem is given by the image at the end of the answer.

More can be learned about similar triangles at brainly.com/question/14285697

#SPJ1

Next two terms of the sequence 4, 8, -16, -32, 64, ?, ? are 128 and -256.

How to solve question in sequence?

Every sequence has certain logic which can be used to find next terms.

Mainly operations like addition, subtraction, multiplication, squares and cubes are used to find the logic.

Trial and error method is applied to comprehend the logic of sequence.

4, 8, -16, -32, 64, A, B.

According to the given question, the sequence can be split in two separate sequences by taking alternate terms -

1) 4, -16, 64, B

2) 8, -32, A

Now clearly the logic is:

Next term is obtained by multiplying the previous term with -4.

Let's check 4x(-4) = -16x(-4) = 64

∴ B = 64x(-4) = -256

Similarly, 8x(-4) = -32

∴ A = -32x(-4) = 128

Hence completed sequence is 4, 8, -16, -32, 64, 128, -256.

To know more about sequence visit

https://brainly.com/question/12474324

#SPJ1

We have to find the equation of a circunference with:

As it is a circunference that passes through a point, we know that the distance between the center and the point must be the radius, as all points in a circunference are at the same distance from the center.

We will find then the radius, by calculating the distance:

Now, this means that the radius is √90.

We use the standard form for the equation of a circle:

where (h,k) is the center of the circle. In this case,

And replacing, we obtain that the equation of the circle is:

From the given question

The volume of a cone is:

Now,

We are given with radius and the height of the cone

So,

We can solve for the radius as a function of water level using ratio and proportion

Then,

Substitute the value of r into the above formula

So,

Then,

Taking derivatives

The,

Solving for the dh/dt

So,

Hence, the answer is 9.55.

Given the table:

X -3 , 0 , 3 , 6

Y 3, 7, 11, 15

We can write the ordered pairs of the function:

(-3, 3), (0, 7), (3, 11), (6, 15)

Any pair of ordered pairs can be used to calculate the slope, assuming they all belong to the line.

Let's pick the points (-3, 3) and (0, 7). The formula to calculate the slope is:

Substituting:

It can be verified that the slope is 4/3 regardless of the points selected to calculate it.

Answer: 4/3

Answer:

834.6m

Step-by-step explanation:

780*1.07=834.6

There are 144 players in the 12-team league.

Given:

In one basketball league, there are 96 players on 8 teams.

In another basketball league, there are 12 teams.

All of the teams in both leagues have the same number of players.

we are asked to determine the  number of players in the 12-team league.

⇒ 96 player - 8 teams

⇒ 12 team player = ?

⇒ 96/8 = 12 player.

each team:

⇒ 12 × 12

= 144 players in 12 teams.

Hence we get the answer as 144 players.

Learn more about Division here:

brainly.com/question/24662212

#SPJ9

Given the following quadratic expression:

Let's check if the given equation can be solved by factoring.

a.) Let's determine the original equation.

From the original equation, we observed that the constant 155/9 is not a perfect square. For the original quadratic equation to be factorable, we must apply the method of completing the square.

Therefore, we can say that the original quadratic equation can't be solved by factoring.

Answer:

There are 3 common factors of 63 and 54, that are 1, 3, and 9. Therefore, the greatest common factor of 63 and 54 is 9.

Step-by-step explanation:

In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match.

Hope this helped:)

x = 10 is the value of x as per given in the question.

3x + 6  = 36

3x = 30

x = 10

learn more about linear equation here :

brainly.com/question/11897796

#SPJ1

The greatest common factor or GCF in the expression  4y + xy² + 6y is y.

The given expression is 4y + xy2 + 6y

GCF stands for greatest common factor

Among these three numbers ;

the variable y is common in all three of them

The factors of 4 y = 4 and y

the factors of xy² are x and y

and the factors of 6y are 6 and y

This can also be simply written by taking y common in this

for example; y ( 4 + xy + 6 )

From the above mentioned proof we can establish the fact that the variable y is common in all three of them

Thus the greatest common factor among them is y

To know more about greatest common factor or related problems you may visit the link which is mentioned below;

https://brainly.com/question/11221202

#SPJ1

Answer: y=2x

Step-by-step explanation:

The equation of the line is y=2x.

First, let's draw a sketch of the problem to better understand it:

Since the distances 20, 4√7 and x create a right triangle, we can use the Pythagorean theorem to calculate the value of x.

The Pythagorean theorem states that the length of the hypotenuse squared is equal to the sum of each leg squared.

So we have:

Therefore the wanted distance is 12√2 feet (16.97 ft).

Answer: I suppose it is still 60

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

becaus eit the whole nimber

Answer:

2, 3, 5

Step-by-step explanation:

There is no side-side congruence theorem.

There is also no angle-side-side congruence theorem.

That eliminates choices 1 and 4.

The triangles show side-angle-side-angle as congruent corresponding parts.

Also using the vertical angles at vertex C, you get angle-side-angle.

Answer: choices 2, 3, and 5.

step 1

the probability of get 4 in one dice is

P=1/6

so

the probability of get 4 in two dices is

(1/6)*(1/6)=1/36

To be able to make x/y table, we substitute any number as x in the given equation y = -1/3x - 2.

Let's create a table,

x solution y

-6 -1/3(-6) - 2 = 2 - 2 0

-3 -1/3(-3) - 2 = 1 - 2 -1

0 -1/3(0) -2 = 0 - 2 -2

3 -1/3(3) - 2 = -1 - 2 -3

6 -1/3(6) - 2 = -2 - 2 -4

We need to operate the next matrixes.

First, subtract the next matrixes:

13 10 7

6 8 1

2 5 0

-

3 -2 6

14 -6 11

8 -12 9

=

13-3 10-(-2) 7-6

6-14 8-(-6) 1-11

2-8 5-(-12) 0-9

=

10 12 1

-8 14 -10

-6 17 -9

Now, the result adds to the next matrix:

10 12 1

-8 14 -10

-6 17 -9

+

6 10 15

10 0 9

1 0 7

=

10+6 12+10 1+15

-8+10 14+0 -10+9

-6+1 17+0 -9+7

=

16 22 16

2 14 -1

-5 17 -2

Therefore, the correct answer is the first one.

Yes, Because the amount charged grows by $35, a fixed amount, every time the number of months increases by 1.

Direct proportion, also known as direct variation, is a relationship between two quantities when their ratio equals a fixed number. The proportional symbol is used to denote it. The fact that the other quantity is inverted here means that the same symbol is really employed to denote inverse proportional.

Direct proportionality applies. This is so that the cost of the membership remains constant no matter how many months you choose to pay for. For instance, the cost is 1 x $35 if you pay for one month. The price increases to 2 x $35 if you pay for two months, which is twice as expensive.

To know more about direct proportionality visit:

https://brainly.com/question/14437120

#SPJ1

f(x) is a linear function whose slope is equal to -1 and y-intercept is equal to -7.

Here we have f(x) defined as:

f(x) = -x - 7

Now, we define a general linear function as:

g(x) = m*x + b

Where m is the slope and b is the y-intercept.

Now, we can rewrite f(x) as:

f(x) = (-1)*x +  (-7)

So f(x) is a linear function with a slope of -1 and a y-intercept of -7.

Laern more about linear functions:

https://brainly.com/question/4025726

#SPJ1

First, let's calculate the Profit functions which is P(x)=R(x)-C(x)

Let's continue simplifying the function

The profit function is a polynomial function, so the domain is all the real numbers which means x can be any real number

Domain=(-∞,∞)

Calculating x=-10 doesn't make sense because x in all the functions is the number of items, and doesn't make sense to have -10 items, so x shouldn't be negative numbers.

And Calculating x=1000 doesn't make sense either because the problem says "The maximum capacity of the company is 110 items" so if we have x=1000 we are exceeding the limit of items that the company can handle.

Now let's calculate the profit when producing 40 and 50 items (we just need to evaluate those values in the function):

The profit when the company produces 50 items is 500 and the profit when the company produces 40 items is 550.

The company should choose to produce 40 items because is a higher profit in contrast to making 50 items.

According to the function, when we replace the values in X we can see that the term (X^2) grows more than the term X and as you can see the term X^2 is negative which decreases the final result of the profit. Another way to see this is by drawing the function

As you can see the function is a parable and when the number of items "X" is very high the function tends to decrease. The function starts to grow in profit until 40 items (when you find the maximum value of profit) and then the profit function decreases.

ANSWER

81 people

EXPLANATION

Let p be the number of people that attend the party.

Under plan A, the inn charges $30 for each person, so the value y of a party for p people is,

Then, under plan B, the cost is $1300 for a maximum of 25 people - this means that if 1 to 25 people attend the party, the cost is the same, $1300. For each person in excess of the first 25 - this means for 26, 27, 28, etc, the inn charges $20 each. The cost for plan B is,

The last part, (p - 25), is the part of the equation that separates the first 25 attendees. This equation works for 25 people or more, but it is okay to solve this problem. Note that for p = 25, the cost for plan A is,

Which is less than the cost of plan B ($1300).

We have to find for what number of people attending the party, the cost of plan B is less than the cost of plan A,

We have to solve this for p. First, apply the distributive property of multiplication over addition/subtract4ion to the 20,

Add like terms,

Now, subtract 20p from both sides,

And divide both sides by 10,

For 80 people, the costs of the plans are,

Both have the same cost. The solution to the inequation was the number of people, p, is more than 80. This means that for 81 people the cost of plan B should be less than the cost of plan A,

For 81 people, plan B costs $10 less than plan A.

(x-3) is not a factor of [tex]2x^3-4x^2-6[/tex]

and the Remainder is 32 .

Using the remainder theorem, which asserts that if x is a factor in a polynomial p(x), then p(a) = 0, we may say that.

Therefore, p(x) = 2x3 - 4x2 - 6 p(3) = 0 if x - 3 is a factor.

So, p(x) = 2x³ - 4x² - 6 If x - 3 is a factor, then

p(3) = 0

So, substituting x = 3 into the equation, we have

p(3) = 2x³ - 4x² - 6

= 2(3)³ - 4(2)² - 6

= 2(27) - 4(4) - 6

= 54 - 16 - 6

= 54 - 22

= 32

Since p(3) ≠ 0.

x - 3 is not a factor

2. Since p(3) = 32,

Thus the required remainder is 32.

To know more about factors of polynomial you may visit the link which is mentioned below:

brainly.com/question/28691011

#SPJ1

An irrational number is a number that cannot be written as a fraction - the decimal goes on forever without repeating. Therefore:

in this case it cannot be expressed as a fraction and it is decimal, this is the correct option. So,

answer A.

Answer:

A//F

CE

BD

Step-by-step explanation:

since its an equilateral triangle you can split in half easily

A sandwich store charges a $10 delivery fee and $4.50 for each sandwich.

a) If an office order 6 sandwiches, the total cost is:

10 + 6(4.50) = 10 + 27 = 37

Then, the cost of the order is $37

b) The total cost of x sandwich is given by the following algebraic equation:

f(x) = 10 + 4.50x

because 10 from the delivery fee and x sandwiches cost 4.50x dollars, f(x) is the total cost.

c) The relationship between the number of sandwiches and the cost of the order is proportional, because if the numbers of sandwiches increases, the cost increases too. It can be appreciated in the function f(x), which is a linear function with a unit rate of 4.50.