7) Mt. Denali in Alaska measures about 5,500 meters from its base to its
highest peak. How high is this in feet? Round your answer to the nearest
thousand.

Answer:

Every element in B is in B.

Step-by-step explanation:

Answer:

Median

Step-by-step explanation:

i think median would be better than mean. This is because with mean, your adding it together then dividing it(by 3 in this case), making the end number higher. tou dont want a higher number in this case.

ex: your numbers are 50, 55,and 90

median = 55 (as it's the middle number)

mean = 65 ( 90+ 55+ 50 / 3)

so median is the lower number, meaning it would be better in this** case.

Answer:

Since r = 1/2, and the fifth term = 1

1 = A×[(1/2)^(5-1)]

1 = A×[(1/2)^4]

1 = A× (1/16)

Step-by-step explanation:

Answer:

No solutions

Step-by-step explanation:

To solve systems of inequations with absolute values you need to isolate the items inside of the absolute value brackets then solve for x.

[tex]|\frac{x}{4}+5|=-7\\\frac{x}{4}+5=-7\\\frac{x}{4}=-12 \\x=-48[/tex]

Therefore our answers would be -48 and 48, however there are no answers to this solution as if you try either it does not equal -7. Furthermore graphing both sides of the equations shows there is no intersection.

The value of number 3[tex]\sqrt{-512}[/tex]  as complex number is equal to 67.88i.

Given that the number is 3[tex]\sqrt{-512}[/tex].

We are required to find the value of the given number.

We have to first find out the square root of 512. Since we cannot find the square root of a negative number so we have to assume it as complex number and we will multiply the resultant number with i.

A complex number is basically an element of a number system that extends the real numbers with a specific element denoted i called the imaginary unit and satisfying the equation i² = −1 every complex number can be expressed in the form a + bi where a and b are real numbers.

3[tex]\sqrt{-512}[/tex] =3*22.627

=67.88i

It is not an integer and we cannot solve it further.

Hence the value of 3[tex]\sqrt{-512}[/tex] as an complex number is equal to 67.88i.

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There is something wrong in the statement of the question because the solution of 3[tex]\sqrt{-512}[/tex] will not be an integer.

Answer:

uyrddfhjjki

Step-by-step explanation:

Answer:

[tex]2.5[/tex] pounds,

OR

[tex]2 \frac{1}{2} [/tex] pounds

Therefore, option C is the answer

Answer:

Option C is the correct answer.

The amount of the total rent is 120 dollars.

Four students plan to rent a minivan for the weekend and equally share the rental cost.

By adding one more people, they can each save $6.

Therefore, the 4 students equally share the rent.

Hence,

average for 4 student = total amount shared / number of student

average for 4 student = x / 4

When you add one more person,

average for 5 student = x / 5

Therefore, the difference, will give you the total amount of the rent.

x / 4 - x / 5 = 6

5x - 4x/ 20 = 6

x / 20 = 6

cross multiply

x = 20 × 6

x = 120

Therefore, the amount of the total rent is 120 dollars.

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See below for the explanation on how discriminant be used to determine the number of solutions

Let a trinomial in standard form be represented as

y = ax^2 + bx + c

The discriminant (d) is calculated as

d = b^2 - 4ac

The solutions are dependent on the following conditions

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Answer:

what do you mean like answer to what

Answer:

there's literally no way to answer that

Transformation of Reflect image over the y axis for this equation (x ,y)->(x +6,y -3)  is  (3, -1)

Reflecting point (-6,1) on y = x

gives (1, -6)

Translating, (1, -6) by 2,5 is

(1 + 2, - 6 + 5) = (3, - 1)

Therefore, reflect image over the y axis translate by rule (x ,y)->(x +6,y -3) is (3, - 1)

transformation :A function, f,  itself is called the transformation, i.e., f: X → X. After the transformation the pre-image X becomes the image X. This transformation can be any part or the mixture of operations such as translation, reflection, rotation and dilation. The translation is working a function in a particular direction, rotation is rotate the function to a point, reflection is the mirror image of the function, and dilation is the ascend of a function.

Translation, rotation, reflection, and dilation are the four most prevalent types of transformations. From the transformation, we have a rotation about any point, reflection over any line, and translation along any angle. The picture is congruent to its pre-image in these stiff transformations.. They are also called as isometric transformations. Dilation is performed at about any point of angle and it is non-isometric.

Rules for Transformations

Consider a function f(x). On a coordinate grid, we use the x-axis and y-axis to check the movement. Here are the rules for transformations of function that could be applied to the all graphs of functions. Transformations can be shown algebraically and graphically. Transformations are commonly found in algebraic functions. We can use the formula of transformations in graphical functions to obtain the graph just by transforming the fundamental or the parent function, and thereby move the graph around, rather than tabulating the coordinate values. We can visualize and learn algebraic equations with the aid of transformations.

Formula of Transformations

Let us consider the graph f(x) = [tex]x^{2}[/tex]

Suppose we have need to graph f(x) = [tex]x^{2}[/tex] -3, we shift the vertex 3 units down.

Suppose we have need to graph f(x) = 3 [tex]x^{2}[/tex]+ 2, we shift the vertex two units above and extend vertically by 3  factor

Suppose we have need to graph f(x) = 2(x-1)^2, we shift the vertex one unit to the right and extend vertically by 2  factor

Thus, we know the formula of transformations as

f(x) =a(bx-h) n + k

where k is the vertical shift,

h is the horizontal shift,

a is the vertical stretch and

b is the horizontal stretch

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The distance, D, is 5,760,000 divided by 2,160, which is 2666.67 (approx)

The TIME function is included as part of Excel's Date and Time features. With the assistance of TIME, we are able to create a time by employing various components for the hours, minutes, and seconds.

While conducting financial analysis, it's possible that we'll need to date a report. Under these conditions, the TIME function may be used to convert a text string into a format that presents the time as a decimal representation of the seconds, minutes, and hours.

Additionally, the function's capabilities include the ability to merge several values into a single time value.

formula= TIME (hour, minute, second)

distance = rate X time

D = RT

T = D/R

720 feet in a minute is equal to 12 feet per second.

480 feet per minute is equal to 8 feet per second.

The number of minutes to go to the flowerbed plus 14 minutes plus the number of minutes to get back to the hive equals 19 minutes.

(D/R) + 14 + (D/R) = 19

(D/R) + 14 + (D/R) = 19

In conclusion, The calculation that we may use to get the distance from the flowerbed to the hive is (D/720 ) plus 14 plus (D/480), which is 19.

(D/720 ) + (D/480) = 5

(D(1200)(480))/1200 + (D(720 )(480))/960 = 5(1200)960

480D + 1200D = 5(720 )480

1200D= 1728000

D=1440

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Based on the number of horror films and the number of foreign films, the number of different combinations of 3 movies that Larissa is able to rent are

The total number of movies that Larissa has narrowed down are:

= 19 + 18

= 37 movies

The number of combinations of 3 movies that Larissa can select are:

= Total number of movies! / ( ( Total number of movies - Number of combinations)! x Number of combinations!)

= 37! / ( (37 - 3)! - 3!)

= 46,620 combinations

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Answer:

  A)  6.86×10⁴

Step-by-step explanation:

You want to write 68600 in scientific notation.

The number 68600 can be written in expanded form with exponents as ...

  68600 = 6×10⁴ +8×10³ +6×10² +0×10¹ +0×10⁰

The left-most term of this sum tells you the exponent in scientific notation:

  68600 = 6.86×10⁴

Answer:

  A. No, because two points with the same x-value have different y-values.

Step-by-step explanation:

You want to know if the graph represents a function.

A function is a relation that maps any input value to exactly one output value. On a graph, any vertical line will intercept a function graph in exactly one place.

On the given graph, the vertical line x=10 intersects the graph in two places (y=6 and y=9, different y-values). The graphed relation is not a function.

Answer:

2nd option ==> closure rule

Step-by-step explanation:

Answer:

  (i)  (x√x)/3 -(√x)/2

  (ii)  f(x) = x³/27 +3x -5

Step-by-step explanation:

You want the value of the integral in each case. One integral is indefinite, the other has conditions specified.

In each case, the power rule applies:

  [tex]\displaystyle \int{x^n}\,dx=\dfrac{x^{n+1}}{n+1}[/tex]

The integral can be rewritten as the sum of two integrals involving half powers.

  [tex]\displaystyle \int{\dfrac{2x-1}{4\sqrt{x}}}\,dx=\dfrac{1}{2}\int{x^{\frac{1}{2}}}\,dx-\dfrac{1}{4}\int{x^{-\frac{1}{2}}}\,dx=\dfrac{x^{\frac{3}{2}}}{2\left(\dfrac{3}{2}\right)}-\dfrac{x^{\frac{1}{2}}}{4\left(\dfrac{1}{2}\right)}\\\\=\boxed{\dfrac{1}{3}x\sqrt{x}-\dfrac{1}{2}\sqrt{x}}[/tex]

You are given the derivative and three conditions:

Together with the integral, the conditions give rise to three equations in the three unknown coefficients.

  [tex]\displaystyle f(x) = \int{ax^2+b}\,dx=\dfrac{a}{3}x^3+bx+c[/tex]

Then the equations we can write for a, b, c are ...

  f'(3) = 4   ⇒   a(3²) +b = 4

  f(3) = 5   ⇒   (a/3)(3³) +b(3) +c = 5

  f(0) = -5   ⇒   a(0³) +b(0) +c = -5

The last equation gives the value of c = -5, so the remaining equations become ...

  9a +b = 4

  9a +3b = 10

Subtracting the first from the second, we have ...

  (9a +3b) -(9a +b) = (10) -(4)

  2b = 6

  b = 3

Using this in the first equation, we find 'a' to be ...

  9a +3 = 4

  a = 1/9

Then f(x) is ...

  [tex]\boxed{f(x)=\dfrac{1}{27}x^3+3x-5}[/tex]

The circumference of the circle with radius 7 and value of pie 3, using the formula C= 2pie r is 42 unit.

Circumference of this circle using 3 for TT and 7 as radius.

The circumference of a circle is the distance around the outside of the circle. It is like the perimeter of other shapes like squares. You can think of it as the line that defines the shape. For shapes made of straight edges this line is called the perimeter but for circles this defining line is called the circumference. There are two other important distances on a circle, the radius (r) and the diameter (d). The radius, the diameter, and the circumference are the three defining aspects of every circle. Given the radius or diameter and pi you can calculate the circumference.

Circumference of circle = π x Diameter of circle.

You can also work out the circumference of a circle if you know its radius. Remember that the diameter is double the length of the radius. We already know that C = πd. If r is the radius of the circle, then d = 2r. So, C = 2πr.

Here, π = 3, r = 7,

So C = 2*7*3 = 42 units.

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The will have to work for 3 weeks in order to save money for down payment of car.

Unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given in the question is a story of john works at the mall, 20 hours a week and makes $8.50 an hour. He is saving for a car and needs a down payment of $500.

Assume that he has to work 'x' number of weeks for down payment.

For 1 hour, John earns → $8.50

Number of hours he work in the mall per week → 20 hours

Amount of money collected in one week → $8.50 x 20 = $170

Money needed for down payment → $500

In 1 week, John earns → $170

So, he earns $1 in → 1 / 170 weeks

Therefore, he will earn $500 in →

(1 / 170) x 500 = 2.94 = 3 weeks (approx.)

Therefore, he will have to work for 3 weeks in order to save money for down payment of car.

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The expression which reflects the difference between the student's guess and the actual number of marbles is m-1206.

Given that there are 1206 marbles in the jar and student makes a guess of m marbles.

We are required to find the expression that represents the difference between the student's guess and the actual number of marbles.

Expression is the combination of numbers, symbols, fraction, coefficients and are found to be without the equal to sign.

Total number of marbles in the jar=1206

Number of marbles that student guesses=m

The expression that shows the difference between the student's guess and the actual number of marbles is m-1206.

Hence the expression which reflects the difference between the student's guess and the actual number of marbles is m-1206.

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Hector can have a total of 14950 number of combinations of 4 movies, from his shortlist of 11 documentaries and 15 foreign films, that he can rent.

As per the question statement, Hector has shortlisted 11 documentaries and 15 foreign films, from which he wants to rent any 4 movies.

We are required to calculate the total of number of combinations of 4 movies from his above mentioned shortlist.

Total number of movies Hector has shortlisted = (11 + 15) = 26.

That is, we will have to calculate the total of number of combinations of 4 movies, Hector can rent from a lot of 26 movies.

Now, we need to know the formula of combination which goes as [tex][nCr=\frac{n!}{r!(n-r)!} ][/tex],

When "r" objects are to be selected from a set of "n" objects, such that order of selection does not matter.

Here, (n = 26) and (r = 4), and using these values in the above mentioned equation of nCr, we get

[tex]26C4=\frac{26!}{4!(26-4)!} =\frac{26!}{4!*22!}=\frac{22!*23*24*25*26}{24*22!}=(23*25*26)=14950[/tex]

That is, Hector can have a total of 14950 number of combinations of 4 movies, from his shortlist of 11 documentaries and 15 foreign films, that he can rent.

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Answer:

x > 1

Step-by-step explanation:

to make everything under the same denominator

multiply everything by 2

7x + 1 > 8

now subtract 1 to both sides

7x > 7

divide everything by 7

x > 1

that is your asnwer

Answer:

No solution

Step-by-step explanation:

2x-5y-2z= -2

6x-15y-6z=20

2x-2y-5z = 4

3rd eq - 1st eq

3y - 3z = 6

2nd eq - 3 × 1st eq

0 = 26

This is a false statement. Therefore, there is no solution.

Answer: No solution

Answer:

1. 0.7

2. 9.7

Step-by-step explanation:

1. 0.67->0.7

2. 9.699->9.7