6a+4b−66, a, plus, 4, b, minus, 6 when a=1a=1a, equals, 1 and b=3b=3b, equals, 3.

A lake near the Arctic Circle is covered by a 2-meter-thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate. After 3 weeks, the sheet is only 1.25 meters thick. Let y represent the ice sheet's thickness ( in meters) after x weeks. Complete the equation for the relationship between the thickness and number of weeks.

Answer:

y = 2 - 0.25x

Step-by-step explanation:

From the question, the initial thickness of the ice sheet = 2 meters,

After 3 weeks, the thickness of ice sheet reduced to 1.25 meters

Hence, the difference in the thickness in 3 weeks is calculated as:

2m - 1.25m = 0.75m

The amount of changes that occurred in 3 weeks is given as:

= 0.75/3 = 0.25 meters,

We are told that, the ice is melting with the constant rate.

Therefore, the equation for the relationship between the thickness and number of weeks is given as:

y = 2 - 0.25x

Answer: the answer above is correct

Step-by-step explanation:

The value of x when the line segment st is dilated to create line s't' about point q is 2.5 units

The given parameters are:

qs = 2

qt = 1.2

tt' = 1.5

ss' = x

To calculate the value of x, we make use of the following equivalent ratio

ss' : qs = tt' : qt

So, we have:

x : 2 = 1.5 : 1.2

Express as fractions

x/2 = 1.5/1.2

Multiply both sides by 2

x = 2 * 1.5/1.2

Evaluate the product

x = 2.5

Hence, the value of x is 2.5 units

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Answer:

2.5

Step-by-step explanation:

_________

\( \: \)

\(12x = \frac{3}{2} \)

\(x = \frac{3}{2} \times \frac{1}{12} \)

\(x = \frac{3}{24} \)

\(x = \bold{ \frac{1}{8}} \)

Answer:

200<=15x

divide by 15

You have to work at least 13 1/3 hours to earn $200

<= means greater than or equal to

Step-by-step explanation:

The minimum number of hours to earn at least $200 is 14

Let the number of hours be x.

Given that hourly rate is $15, and he needs to earn at least $200;

The inequality of the scenario is:

15x >= 200

Divide both sides by 200

x >= 13.33

The smallest integer greater than 13.33 is 14.

So, we have:

x = 14

Hence, the minimum number of hours is 14

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We can actually deduce here that the value of y after the given statement has been coded and executed, given that x = 3 is: 27.

In Mathematics, value is actually known to be a number or digit or what a number represents in a mathematical expression. Values help us to know numbers and figures.

The options that complete the question are:

We see here that the expression given is:

Set y = pow(x,x)

We see here that x=3

Thus, pow(3,3) = 3×3×3 = 27 (when coded and executed).

Thus, the answer is 27.

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Answer:

The fee to ship an item that costs $56 is $2.52 (2.52 is 4.5% of 56)

Step-by-step explanation:

Since the company charges a shipping fee that is 4.5% of the purchase price for all the items it ships,

So, it is going to charge 4.5% of the cost for the $56 item.

Now, 4.5% of $56 is,

fee = (4.5%)($56)

fee = (0.045)($56)

fee = $2.52

Hence they charge $2.52 for the item

Using Pythagorean Theorem, the length of the line segment from (-3, 10) to (4, -1) is 13 units.

Pythagorean theorem describes the relationship between the sides of a right triangle. It states that the square of the hypotenuse is equal to the sum of the squares of the two other side.

c² = a² + b²

Let a = vertical distance between the two points

b = horizontal distance between the two points

c = distance between the two points / length of line segment

Hence, c² = (|y₂ - y₁|)² + (|x₂ - x₁|)².

Substitute the values of x and y and solve for c.

c² = (|y₂ - y₁|)² + (|x₂ - x₁|)²

c² = (|-1 - 10|)² + (|4 - -3|)²

c² = (|-11|)² + (|7|)²

c² = 11² + 7²

c² = 121 + 49

c² = 170

c = 13.04

length of line segment ≅ 13 units

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Answer: (4, -1) -- All real numbers -- [-1, ∞) -- (3,0) and (5,0). -- (0,15) -- x = 4 -- y = x^2-8x+15

Step-by-step explanation:

\(y = (x-4)^2 - 1\)

a) Vertex: (4, -1). In a quadratic in vertex form: \((x-h)^2 + k\), the vertex is the point (h,k)

b) Domain: Since it is a valid quadratic function, the graph extends for all x values. (in other words, you can plug in any value for x). The domain is thus all real numbers.

c) Range: You can plug in any value for x, but since x is being squared, you wont get every value out, you will only get positives out. But there is another condition; there is a -1 constant trailing the equation. this means the graph is shifted one unit down. thus, the y values, the range, is taken down by one as well. the range is thus all numbers from -1 to ∞, or in interval notation, [-1, ∞)

d) X-intercepts: from the graph we can see the intercepts are (3,0) and (5,0).

e) Also from the graph, the y-intercept can be seen as: (0,15)

f) Axis of Symmetry: It is always the line x = x-coordinate of vertex.

so in this case, the line will be x = 4

g) to find a congruent equation, simply expand this equation:

\(y = (x-4)^2 - 1\)

\(y = x^2-8x+16 - 1\)

\(y = x^2-8x+15\)

there ya go!

Answer:

Im not sure how to answer

Step-by-step explanation:

But you find the area of all the square and rectangles and then add them to find it

Answer: first two

1. 290

2. 90

IM PRETTY SURE THESE ARE RIGHT!! :D

Step-by-step explanation:

25 + 25 = 50

---

5 x 12 = 60

60 x 4 = 240

---

240 + 50 = 290

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

2 x 9 = 18

18 x 4 = 72

---

2 x 2 = 4

4 x 2 = 8

---

8 + 72 = 90

Answer: 9/1

Step-by-step explanation: We can write a ratio using the word "to", using a colon, or using a fraction bar.

The problem asks us to compare the number of

adult tickets to the number of child tickets.

We know that there are 45 adult tickets

and 5 child tickets so we have 45/5.

However, 45/5 is not in lowest terms so we divide

the numerator and denominator by 5 to get 9/1.

So the ratio of adult tickets to child tickets is 9/1.

if we have a class of 15 students and we want to choose a committee of 5 students, their order and position don't matter, 3003 many different ways are there of creating a 5-person committee among the 15 students.

The combination formula is used to determine how many options there are for choosing things from a collection so that the order in which they are chosen is irrelevant. Combination, to put it simply, is the choosing of items or things from a bigger group when the order doesn't important.

Since order and position doesn't matter in this problem, use the combination formula.

The combination formula is: n! / (n-r)! r!

where n is the total number of items (15 in this case) and r is the number of items being selected at once (5 in this case)

Plugging our numbers into the formula:

= 15! / (15-5)! 5!

= 3003 ways.

So, there are 3003 ways of picking 5 people from a group of 15.

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Answer:

20 and 22 is median of the number line

Answer:

12.5 or 12 1/2

Step-by-step explanation:

Answer:

x= 12.5 or 12 1/2

Step-by-step explanation:

The 15th term of the geometric progression is 9,565,94.

A geometric progression can be expressed as an = a1rn-1 for some a1 and r. You are told that a2 * a4 = 2a5 and a1 + a2 + a3 + a4 = 80.

From the first equation, a2 = a1 r, a4 = a1 r3, and a5 = a1 r4. This tells us that

a1 r a1 r3 = 2 a1 r4

The r's and one a1 cancel leaving a1 = 2.

Now, plugging similarly into a1 + a2 + a3 + a4 = 80,

2 + 2r + 2r2 + 2r3 = 80

r3 + r2 + r + 1 = 40

In general, the easiest way to solve a cubic is by graphing, but here you know the answer will be a small integer, so just try a few. If we try r=3, we get 27 + 9 + 3 + 1 = 40 so r = 3.

So the geometric sequence here is an = 2 3n-1. The 15th term is then:

a15 = 2*3^14

a15 = 9,565,938.

Full question:

A G.P, the product of the 2nd and the 4th term is double the 5th term, and the sum of the first 4th terms is 80. find the 15th term.

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Answer:

A = 4π units²

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius ) , then

A = π × 2² = 4π units²

\(\huge\text{Hey there!}\)

\(\text{How to \bf{calculate midpoint}}?\)

\(\large\text{You can calculate the DISTANCE BETWEEN TWO given END POINTS}\\\large\text{and DIVIDE its RESULT by 2}\)

\(\large\text{Here is the formula: }\mathsf{(\dfrac{x_1 + x_2}{2}, \dfrac{y_1+y_2}{2} )}\)

\(\textsf{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

\(\large\text{Use an example of it}\downarrow\)

Drawing the incorrect conclusion that the teaching method caused the difference in scores, when in fact it was caused by extraneous variables, is an example of a Type I error, also known as a false positive. It occurs when a hypothesis is rejected even though it is true.

what is variables?

In mathematics, statistics, and programming, a variable is a named value that can take on different values or values of different types. In other words, a variable is a symbol or a container that holds a value or a reference to a value. Variables are used to store and manipulate data in computer programs, mathematical formulas, and statistical analyses. In programming, variables can be used to store and manipulate data such as numbers, strings of text, and arrays of values. In mathematics and statistics, variables can represent numerical quantities or categories that are being measured or observed.

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The economic order quantity (EOQ) for the switch connectors is approximately 97 units.

To determine the economic order quantity (EOQ) for the switch connectors, we can use the following formula:

EOQ = √((2 * Annual Demand * Order Cost) / Holding Cost)

Given the following information:

Annual Demand = 15,400 units

Holding Cost = $24 per unit

Order Cost = $74 per order

Plugging in the values into the formula, we get:

EOQ = √((2 * 15,400 * 74) / 24)

EOQ = √(227,200 / 24)

EOQ = √(9,466.67)

EOQ ≈ 97.28

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Answer:

Step-by-step explanation:

all values are true

The closed form solution to the given recurrence using back substitution method is T(n) = O(n*log n).

This can be derived by taking the given equation T(n) = 12T(n/2) + n and substituting successively smaller values of n, until n=1 is reached.

Start with T(n) = 12T(n/2) + n, and substitute n/2 for n: T(n/2) = 12T(n/4) + (n/2). Continuing with this process, substituting in n/4 for n, n/8 for n, and so on, will eventually lead to T(1) = 12T(1/2) + 1, which has a solution of T(1) = 13.

Now that T(1) is known, it can be used to solve for T(n/2). Since T(n/2) = 12T(n/4) + (n/2), then 12T(n/4) = T(n/2) - (n/2), and substituting T(1) in for T(n/2), we get 12T(n/4) = 13 - (n/2).

Continuing this process, we get T(n/4) = 26 - n, T(n/8) = 39 - (3n/2), T(n/16) = 52 - (7n/4), and so on. Once n/2n has been reached, the pattern becomes clear, and the closed form solution is T(n) = O(n*log n).

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Answer:

Yes

Step-by-step explanation:

Yes, equation 3(-15) is basically saying that you are spending -15, 3 times and that those two numbers are being multiplied together which would give you the total cost of all the shirts you are buying. That being said, no purchase would be a negative value, this is most likely an error made when writing the question but the cost of each individual shirt should be $15 and not -$15. Therefore making the actual equation 3(15). We can even equal this to the variable C which would represent the total cost of the purchase and make it more of a real equation.

C = 3(15)

option:-

\( \: \)

Solution:-

\( \: \)

\( \: \)

\( \: \)

hope it helps!:)

Linear equations involve equalities (i.e., "=") and are used to represent lines in a coordinate plane. Linear inequalities, on the other hand, involve inequalities (i.e., "<", ">", "<=", ">=") and are used to represent regions or areas of a coordinate plane that satisfy certain conditions.

A linear equation can be expressed in the form "y = mx + b," where "m" represents the slope of the line and "b" represents the y-intercept. Given the values of "m" and "b," you can calculate the y-coordinate for any given x-coordinate, and vice versa. The graph of a linear equation is a straight line.

A linear inequality is expressed in the form "y < mx + b," "y > mx + b," "y <= mx + b," or "y >= mx + b." Instead of representing a single line, a linear inequality represents a shaded region on the coordinate plane that satisfies the given condition. To graph a linear inequality, you can choose a test point not on the line and check whether it satisfies the inequality. If it does, shade the region containing the test point; otherwise, shade the other region.

In summary, the main difference between linear equations and linear inequalities is the use of equalities versus inequalities. Linear equations represent lines, while linear inequalities represent shaded regions on the coordinate plane. Equations deal with exact solutions, whereas inequalities deal with a range of possible solutions. Understanding the distinctions between these concepts is important in various areas of mathematics, such as algebra and geometry.

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Answer:

The simplified value of the expression m/n if m=4/5 and n= −0.25 is -16.

Step-by-step explanation:

GIVE ME BRAINLEST!!!!!!!!!!!!!!!!!!!

9514 1404 393

Answer:

Step-by-step explanation:

Let s represent the smaller number. Then s+8 is the larger number, and their sum is ...

  s + (s+8) = 17

  2s = 17 -8 = 9

  s = 9/2 = 4.5

  s+8 = 4.5 +8 = 12.5

The two numbers are 4.5 and 12.5.

_____

Comment on problems of this type

A method is shown here for solving the problem using one equation in one variable. The general solution can be seen to be ...

  two numbers = (sum ± difference)/2

Here, that is ...

  two numbers = (17±8)/2 = (25, 9)/2 = (12.5, 4.5)

The marginal revenue curves for the given demand curves are: MR = -0.5  Q + 12 In a monopoly market, the marginal revenue curve is always below the demand curve. This is because a monopolist can only increase their revenue by decreasing the price of their product, and therefore they must lower the price for all units sold, not just the last one.

For the first demand curve, P = -5Q + 25, the marginal revenue curve can be found by taking the derivative of the demand curve with respect to Q. This gives us:

MR = dP/d Q = -5

So the marginal revenue curve is a horizontal line at MR = -5. Adding the intercept of the demand curve at P = 25, we get:

MR = -5Q + 25

For the second demand curve, P = -0.5Q + 12, the marginal revenue curve can be found in the same way:

MR = dP/dQ = -0.5

So the marginal revenue curve is a horizontal line at MR = -0.5. Adding the intercept of the demand curve at P = 12, we get:

MR = -0.5Q + 12

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Answer:

y = - \(\frac{5}{2}\) x - 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (0, - 2) ← 2 points on the line

m = \(\frac{-2-3}{0-(-2)}\) = \(\frac{-5}{0+2}\) = - \(\frac{5}{2}\)

the line crosses the y- axis at (0, - 2 ) ⇒ c = - 2

y = - \(\frac{5}{2}\) x - 2 ← equation of line

Answers:

=====================================================

Explanation:

A function has any given input lead to exactly one output.

Relation 1 has the input "paper" lead to more than one output, which are the values 9 and -3. Therefore, relation 1 is not a function.

Relations 2 and 4 are similar stories.

---------

In contrast, relation 3 has each input lead to exactly one output, which is why we have a function here.

Put another way: a function cannot have the x coordinates repeat, but the y coordinates can repeat.

Answer:

the rectangle is 14x6, the width is 6ft

Step-by-step explanation: