\(x^{-1}\)×\(x^{3}\)=\(x^{2}\) true or false

The linear cost function is C(x) is (2100 + 20x).

What is Cost function?

The cost function calculates the absolute lowest cost of generating a specified level of output at some fixed factor prices. A firm's economic potential is described by the cost function.

As given,

Marginal cost $20; 170 items cost $5500 to produce.

Evaluate the Fixed cost:

Fixed cost = 5500 - 20 × 170

                  = 5500 - 3400

                  = 2100

Now,

cost function = fixed cost + x × (marginal cost)

Substitute values respectively,

cost function = 2100 + 20x.

Hence, the linear cost function is C(x) is (2100 + 20x).

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The solutions to the equation \(25x^2 - 30 = 0\) rounded to the nearest hundredth are x ≈ ±0.55.

To solve the equation \(25x^2 - 30 = 0\), we can use the quadratic formula:

x = (-b ± √\((b^2 - 4ac)\)) / (2a)

For this equation, a = 25, b = 0, and c = -30. Plugging in these values into the quadratic formula, we get:

x = (± √\((0^2 - 4(25)(-30))\)) / (2(25))

x = (± √(0 + 3000)) / 50

x = (± √3000) / 50

x = ± √(3000) / 50

Now, we can simplify the expression

x = ± √(100 * 30) / 50

x = ± (10√30) / 50

x = ± √30 / 5

Rounding the answer to the nearest hundredth, we have:

x ≈ ±0.55

Therefore, the solutions to the equation \(25x^2 - 30 = 0\) rounded to the nearest hundredth are x ≈ 0.55 and x ≈ -0.55.

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Complete Question:

Solve: \(25x^2-30=0\). Round the answer to the nearest hundredth.

Answer:

Gradient: m = 3

Step-by-step explanation:

m = change in y/change in x

m = \(\frac{Y2-Y1}{X2-X1}\)

m = \(\frac{9-(-3)}{6-(2)}\)

m = 12/4

m = 3

Answer:

Polynomial

Step-by-step explanation:

two like terms is a like term with coefficient equal to the sum

Answer: 83.56

Step-by-step explanation:

To calculate the mean score for all ninth graders in the city, we multiply the mean score test for each school by the number of months grade students and then add all together and divide by the total ninth grade students. This is solved below.

Mean = [(79 × 285) + (94 × 336) + (72 × 191)]/285+336+191

= (22515+31584+13752)/812

= 67851/812

= 83.56

The correct answer is option (c) 3.

To determine if the function f(x) is continuous at x = 2, we need to check if the left-hand limit, right-hand limit, and the value of f(x) at x = 2 are equal.

First, let's find the left-hand limit as x approaches 2:

lim(x→2-) f(x) = lim(x→2-) (x^2 - 3x + 9) = 2^2 - 3(2) + 9 = 4 - 6 + 9 = 7.

Next, let's find the right-hand limit as x approaches 2:

lim(x→2+) f(x) = lim(x→2+) (kx + 1) = k(2) + 1 = 2k + 1.

Now, let's find the value of f(x) at x = 2:

f(2) = 2^2 - 3(2) + 9 = 4 - 6 + 9 = 7.

For the function to be continuous at x = 2, the left-hand limit, right-hand limit, and the value of f(x) at x = 2 should be equal. Therefore, we need to find the value of k that makes the left-hand limit, right-hand limit, and f(2) equal.

7 = 2k + 1

Subtracting 1 from both sides:

6 = 2k

Dividing both sides by 2:

3 = k

Therefore, the value of k that makes the function f(x) continuous at x = 2 is k = 3. Thus, the correct answer is option (c) 3.

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Horatio devotes 30 hours to the harder book and 10 hours to the easier one.

Calculations

Let X be the hours spent reading the more difficult book

Let Y be the hours spent reading the less difficult book

Total hours spent = X + Y = 40

Number of pages of difficult book in X hours at 12 pages per hour = 12X

Number of pages of easier book in Y hours at 25 pages per hour = 25Y

Total pages read = 12X + 25Y

So we have two equations in X and Y and we can solve them simultaneously. Equations are:

X + Y = 40                    (1)

12X + 25Y = 610             (2)

We can eliminate one of the variable terms by making the coefficients of the other term equal and then subtracting

Multiply (1) by 12 to make X terms equal

12(X + Y) = 12 x 40

12X + 12Y = 480                (3)

Subtract (3) from (2)

(2) - (3)

==> 12X + 25Y - (12X + 12Y) = 610 - 480

==> 12X + 25Y - 12X - 12Y = 130

==> 25Y - 12Y = 130                           (12X terms cancel)

==> 13Y = 130

==> Y = 130/13                                     (divide both sides by 13)

==> Y = 10

Using (1)

X + Y = 40

==> X + 10 = 40

==> X + 10 - 10 = 40 - 10

==> X = 30

So answer:

Horatio spends 30 hours on the more difficult book and 10 hours on the lighter book

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Answer:

19/24

Step-by-step explanation:

Z-2/3=1/8

Z=1/8+2/3

Z=3/24+16/24

Z=19/24

Answer:

19/24

Step-by-step explanation:

→ Z - 2/3 = 1/8

→ Z = 1/8 + 2/3

→ Z = (3 + 16)/24

→ Z = 19/24

Therefore , the value of Z is 19/24.

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$500\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &3 \end{cases} \\\\\\ A=500\left(1+\frac{0.05}{1}\right)^{1\cdot 3}\implies A=500(1.05)^3\implies A\approx 578.81\)

Answer:

272 units^2

Step-by-step explanation:

1) Find area of whole figure which is a trapezoid.

Area of trapezoid = ((18+34)/2)*16 We are adding the bases, dividing by 2 and multiplying by height. This is the formula to find the area of a trapezoid.

So Area of trapezoid = 416 units^2

2) Find area of non-shaded figure which is a triangle.

Base= 18, Height= 16

Area of triangle = (16*18)/2 We are multiplying the base and height which is the formula to find the area of a triangle.

So Area of triangle = 144 units^2

3) Subtract non-shaded figure from whole figure to get shaded figure.

416-144 = 272 units^2

Hope this helps :)

Answer:

The scuba diver is 21 feet below sea level

Step-by-step explanation:

I took the test

give brainliest if this is right please

I'd really appreciate it

Answer: x=-5.83..(repeated)

i would say its the first one

The statement "If a function f '(x) exists and is nonzero for all x, then f(8) ≠ f(0)" is not necessarily true.

If f(x) is an increasing or decreasing function on the Interval [0, 8], then it is possible that f(8) = f(0).

For example, consider the function f(x) = x, which is increasing on the interval [0, 8] and satisfies f '(x) = 1 for all x in [0, 8]. Then f(8) = 8 and f(0) = 0, so f(8) = f(0).

However, if we assume that f(x) is strictly increasing or strictly decreasing on the interval [0, 8], then the statement would be true.

This is because if f(x) is strictly increasing or decreasing, then it cannot have any repeated values in its range, and so f(8) ≠ f(0).

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Answer:

the correct answer is except 3:x=8:32

Answer:

Below in bold.

Step-by-step explanation:

it is a right triangle so one angle = 90 degrees.

The other angle = 180 - (37 +90)

= 180 - 127

= 53 degrees.

Linear pairs add up to 180.

So other angle = 18--53

= 127 degrees.

5/6 - 1/9=?/? - ?/? = ?/? , value of each (?/?) is

5/6 -1/9 =15 /18 -2/18 =13 /18.

As given,

5/ 6 - 1/9 =?/? -?/? =?/?

Convert the given terms into like terms

Least common multiple of (6,9)=18

Value of each ( ?/?)

(5/6 ) × ( 3/3) -(1/9) × (2/2)

= 15 /18 - 2/18

= 13 /18

Therefore,5/6 - 1/9 = ?/? - ?/? = ?/? , value of each (?/?) is equal to

5/6 -1/9 = 15 /18 -2/18 = 13/18.

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True, to calculate the average of numeric values in the list, the first step is to get the total of values in the list.

Steps to calculate the Average:

Let’s assume there are 4 numbers having values of 2,8,22,48 respectively.

To find the average we first have to take the total of all values.

2+8+22+48=80.

Our next step will be to divide this total by the number we have in our question i.e., 4.

so, our average will be 80/4= 20.

So, 20 will be our average.

So yes, it is true that to calculate the average of numeric values in the list, the first step is to get the total of all values in the list.

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s orbital mentioned

Note that for all n shells electrons per shell is fixed like for p it's 6 and for d it's 10

Rule for electron in nth shell=2n²

The digraph of the relation r is on the image at the end.

Here we just need to make two sets of numbers in columns, one column is the domain which we know is {1,2,3,4}, the other column is the range which we know is {1, 2, 3, 4}

To make the digraph, just connect the points in the way that the relation suggest.

This is, we can see the point (1, 2)

Then we make an arrow that comes from the "1" in the domain and goes to the "2" in the range.

The digraph can be seen in the image at the end of the answer.

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Answer:

A

Step-by-step explanation:

Edge 2021

Answer:

A. left 3, up 4

Step-by-step explanation:

Doing it on EDG right now!

Good luck to yalls :)

Answer:

73

Step-by-step explanation:

First, you want to add 168 +79 = 247

Then, to see how many she needs, you subtract 320 - 247  = 73

The area of the trapezoid is approximately 42.5 square meters. So, the answer closest to this value is 38 m^2.

What is trapezoid ?

A trapezoid is a quadrilateral with at least one pair of parallel sides. In a trapezoid, the parallel sides are called the bases of the trapezoid, and the non-parallel sides are called the legs. The height of a trapezoid is the perpendicular distance between the bases.

There are several types of trapezoids, including isosceles trapezoids, where the legs are of equal length, and right trapezoids, where one leg is perpendicular to both bases. Trapezoids are commonly used in geometry and can be used to find the area of various shapes, such as triangles and rectangles.

To find the area of the trapezoid, we can use the formula:

Area = (1/2) x (sum of bases) x height

Since the trapezoid is isosceles, the length of the two parallel sides are the same. Let's call that length "x". We can use this information to set up an equation:

3 + 4 + 7 + x = 2x

Simplifying, we get:

14 + x = 2x

x = 14

So the length of both parallel sides is 14 meters.

Now we can plug in the values into the area formula:

Area = (1/2) x (3 + 14) x 5

Area = 8.5 x 5

Area = 42.5

Therefore, the area of the trapezoid is approximately 42.5 square meters. So, the answer closest to this value is 38 m^2.

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Answer: B 38m squared.

Step-by-step explanation:

I took the test and got this question correct.

Answer:

17

Step by step explanation

15-6=21

38-21=17

Answer:

Equation: 0.165 x = 69.3

x = 420 gallons

Explanation:

Let us call x the total number of gallons the family uses. then we know that 16.5 % (WHICH WE ARE TOLD IS 69. 3 GALLONS ) of it used for cooking, meaning

Dividing both sides by 0.165 gives

Hence, 420 gallons of water are used each day by a family.

Answer:

-3a-21

Step-by-step explanation:

Answer:

27a-21

Step-by-step explanation:

12a-3(7+5a)

distribute the 3

3x7=21

3x5a=15a

12a-21+15a

12a+15a=27a

27a-21