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Q$\

Answer:

0.408

Step-by-step explanation:

Convert -6.8 and -0.06 to 34/5 and 3/50(The math explains why)
\(0 - 68/10 \times 0 - 3/50\\0 - 34/5 \times (-3)/50\\= 51/125\\= 0.408\)

Answer: 0.408

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The average cost is the total cost divided by the number of units produced:

  average cost = C/x = 100/x -5 +7x

__

The marginal cost is the derivative of the total cost function.

  marginal cost = -5 +14x

Given parameters:

First term of the sequence = x

Second term = x + 2

Third term =  x + 4

Sum of the first three terms  = 72

Unknown:

First term of the sequence = ?

Solution:

The sum of the first three terms is unknown;

            (x) + (x + 2) + (x + 4) = 72

Solve for x;

          x + x + 2 + x + 4  = 72

          3x + 6  = 72

            3x = 72 - 6

              3x = 66

                x = \(\frac{66}{3}\)   = 22

The first term of the sequence is 22

Answer:

Take your time to complete the equation. Don't rush. This is very easy you just need to be patient..

Step-by-step explanation:

Step-by-step explanation:

x = Iman's money

y = Daphne's money

x = 2y

x - 128 = y - 40

now we use the first equation as identity in the second equation and get

2y - 128 = y - 40

y - 128 = -40

y = $88

x = 2y = $176

these were the starting values.

now, after spending, they have both left

176 - 128 = 88 - 40 = $48

The coordinates of the other endpoint  of the segment, given its midpoint and one endpoint are (-14, -9)

The Midpoint Formula for a line with endpoints as (x₁, y₁) and (x₂, y₂) is;

((x₁ + x₂)/2, (y₁ + y₂)/2)

We are given the  following;

Midpoint (-15,-6)

End point (-16,-3)

Let x₁ = -16, the x coordinate of the endpoint

Let x₂ = the x coordinate of the unknown endpoint

Let y₁ = -3, the y coordinate of the endpoint

Let y₂ = the y coordinate of the unknown endpoint

Thus, for the x coordinate of the unknown endpoint;

(x1 + x2)/2

(-16 + x₂)/2 = -15

-16 + x₂ = -30

x₂ = -14

For the y coordinate of the unknown endpoint;

(y1 + y2)/2

(-3 + y₂)/2 = -6

-3 + y₂ = -12

y₂ = -12 + 3

y₂ = -9

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Answer:

2.8 litres

Step-by-step explanation:

8.22 mg per 3.039 mL

2.704 mg per 1 mL

7.469 gram = 7469 milligrams

7469 milligrams per 2,761.34927mL

= 2.761 litres = 2.8 litres

Answer:

  fails the vertical line test: not a function

Step-by-step explanation:

You want to know how to tell if a relation is a function or not.

A relation is a map between values of the independent variable (input, x) and values of the dependent variable (output, y). Such a map can be represented many ways, including a table, graph, set of ordered pairs, dual number lines, or even a diagram showing inputs and outputs. The attachment shows such a diagram.

A relation does not need to be between numbers. Tokens of any kind can be used for input and output identifiers.

A function is a relation in which each input corresponds (maps) to exactly one output.

The relation shown on the left of the attachment is not a function because the first (top) input item (A) maps to more than one output item (B).

When a relation is expressed as ordered pairs (x, y) or a table, it will be a function if and only if no x-value is repeated.

When a relation is expressed as a graph, it will be a function if and only if no vertical line intersects more than one point on the graph. (This is the "vertical line test.")

Answer:

75%

Step-by-step explanation:

119-68 = 51

Now divide this 51 by the original price which is 68

51/68=0.75

0.75*100=75%

Hope it helps:)

Answer:

31 33 35 37 39

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

31,33,35,37,39

a. The missing values of the logarithm expression is log₃(40).

b. The missing values of the logarithm expression is log₅(8).

c. The missing values of the logarithm expression is  log₂(1/25).

The missing values of the logarithm expression is calculated as follows;

(a). log₃5 + log₃8, the expression is simplified as follows;

log₃5 + log₃8 = log₃(5 x 8) = log₃(40)

(b). The log expression is simplified as;

log₅3 - log₅X = log₅3/8

log₅X = log₅8

X = 8

(c).  The log expression is simplified as;

-2log₂5 = log₂Y

log₂5⁻² = log₂Y

5⁻² = Y

1/25 = Y

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Step-by-step explanation:

By using exactly four 4s it is possible to write a few numbers: at least from 0 - 30.

=> For example, using exactly four 4s, we can write 1 as follows

1 = 44 / 44

The right hand side of the above equation has exactly four 4s and solving it will give 1.

=>Using exactly four 4s, we can write 2 as follows;

2 = (4/4) + (4/4)

Also, there are exactly four 4s in the right hand side of the above equation and solving it gives 2

=> Using exactly four 4s, we can also write 6 as follows;

6 = 4 x .4 + 4.4

The above equation also contains exactly four 4s which will give 6 when solved. i.e

(4 x .4) + 4.4 = (4 x 0.4) + 4.4 = 6

The expressions for numbers 1 through 10 using exactly four 4s have been tabulated and shown in the image attached to this response.

Answer:

You are doing good I would say! Your average grade would be a B- Or just a normal B Somewhat around there.

Step-by-step explanation:

I hope this helps you and good luck! Bye!

Grade scale:

A → 100-90

B → 89-80

C → 79-70

D → 70

F <70

That being said to see your grade, add all your grades up then divide it by how many grades you have.

That being said, if you add all your grades then divide it by how many grades you have, you should have a 85.6 as your average.

Hence, your average is a B.

The point at (60, 55) represents an item with an original price of $60 that is now being sold at a sale price of $55.

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.

If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

We are given that;

The point at (60, 55)

Now,

This means that customers who enter the special discount code can save $5 on this particular item.

In general, the point (x, y) on the graph represents an item with an original price of x dollars that is being sold at a sale price of y dollars. The graph is showing how the sale price of items changes as the original price increases.

Therefore, by the graph the answer will be $60 and $55.

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Answer:

gr,wrgñegetjj

Step-by-step explanation:

jyyjytjjttj

Answer: integer and rational

Step-by-step explanation:

Answer:

-7

_____

because

2x+30=-2x+2

is

4x+30=2

which is

4x=-28

then

x=-7

The value of \(log_35 \times log_{25}9\) is 1.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

\(log_35 \times log_{25}9\)

\(log_ab = \frac{logb}{loga}\)

So,

= log 5 / log 3 x log 9 / log 25

= log 5 / log 3 x log 3² / log 5²

\(logm^n = n~logm\)

So,

= log 5 / log 3 x log 3² / log 5²

= (log 5 / log 3) x (2 log 3 / 2 log 5)

= (log 5 / log 3) x (log 3 / log 5)

= 1

Thus,

1 is the value.

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Using properties of square,

a. Equation for total area = 2x² - 16x + 64

b. Area will be minimum for the value of x = 0

c. Minimum area will be 64cm².

With four equal sides, a square is a quadrilateral. There are numerous square-shaped objects in our immediate environment. The equal sides and 90° internal angles of each square form serve as indicators of its identity.

Total length of wire = 32cm.

Now side of one square is given as x.

Perimeter of big square will be = 4x.

Now perimeter of small square = 32- 4x.

Side of small square = (32-4x)/4

= 4(8-x)/4

= 8-x

Area of big square = x × x

= x².

Area of small square = (8-x) ².

Now Total area, A(x) = x² + (8-x) ²

= x² + 64 + x² - 16x

= 2x² - 16x + 64

The side length that will minimize the area will be, x = 0.

Minimum area of the total figure will be = 64cm²

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Answer:

C - On the number line, move 3 units to the left. End at -7. The dolphin was 7 feet below sea level.

Step-by-step explanation:

The dolphin's starting point was -4 (4 feet below sea level). If the dolphin if diving down by 3 feet, you add -3 to its starting point.

-4 + -3 = -7.

Hello!

The distance, d, is less than 200 miles.

B. d > 200

Answer:

kjhgfdcxcfvghj

Step-by-step explanation:

The frequencies will be Red : 6, Blue: 4, Green: 8, Yellow : 1 (half of 2), Pink: 1 (half of 2).

It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell to total frequency.

It is given that:

24 children were asked which is their favourite colour from a choice of red, blue

green or yellow

From the data given in the question.

Red : 6

Blue: 4

Green: 8

Yellow : 1 (half of 2)

Pink: 1 (half of 2)

Thus, the frequencies will be Red : 6, Blue: 4, Green: 8, Yellow : 1 (half of 2), Pink: 1 (half of 2).

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Answer:

Doesn't look like a geometric sequence.

Step-by-step explanation:

If 1, -4, 16 keeps repeating then the answer is 16.

Answer:

so,6-1 3+7x5 9

Multiple: 7 * 5 = 35

Divide: the result of step No. 1 / 9 = 35 / 9 = 3.88888889

Add: 3 + the result of step No. 2 = 3 + 3.88888889 = 6.88888889

Answer: The value of x is 49.

Step-by-step explanation:

To find the value of x, you will first need to cross multiply the fractional variables together.

5x - 80 = 3x + 18

Then, move the numerical term 80 to the right side of this equation and add it to 18.

5x - 80 = 3x + 98

Move 3x to the left side of the equation and subtract it this time to the variable 5x.

2x = 98

Finally, you divide both of the equation's sides by 2 and you will get 49.

x = 49

When you actually add x to this problem, you would get 33/55.

49 - 16/49 +6 = 33/55

You can then simplify 33/55 and get the same answer 3/5.

3/5

Therefore, the value of x for this variable equation with the fractions would be equal to x = 49. Hope this helps!

-From 5th Grader Honors Student

The linear equation where p s the price and n is the number of shirts sold is p = - 0.003n + 51.

A clothing company discovers a linear relationship between the maximum price it can charge per shirt, p, and the maximum number of shirts, n, it can sell.

In historical data,

The number of shirts sold is 8000 at a price of $27.

So, n = 8000 and p = $27

Using the linear equation in form p = mn + b

Then,

27 = 8000m + b                   -----------(1)

Now, 13000 shirts can be sold at a price of $12.

n = 13000, p = $12

Then,

12 = 13000m + b

b = 12 - 13000m                   -----------(2)

Substituting equation (2) in equation (1),

27 = 8000m + 12 - 13000m

- 5000m + 12 = 27

- 5000m = 27 - 12

- 5000m = 15

m = 15 / - 5000

m = - 3/1000 = - 0.003

Therefore,

27 = 8000m + b

b = 27 - 8000m

b = 27 - 8000 × ( - 0.003 )

b = 27 + 24 = 51

Then the linear equation is:

p = mn + b

p = - 0.003n + 51

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The inverse of a function is n(a) = (a+30)/3 option (A) is correct by using the concept of the inverse of a function.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

a(n) =  3n - 30

To find make subject n and solve

a(n) + 30 = 3n

\(\rm n = \dfrac{a(n) + 30}{3}\)

Plug n = n(a) and a(n) = a

\(\rm n(a) = \dfrac{a + 30}{3}\)

Thus, the inverse of a function is n(a) = (a+30)/3 option (A) is correct by using the concept of the inverse of a function.

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Answer:

49 degrees

Step-by-step explanation: You are basically counting from 0 to 49