Pls help I need this answer

Answer: The equation would be Y= 50- 10.50(x)

Step-by-step explanation: If you were to solve, it would be 50-10.50(4). I got the 4 because that is how many packs you can spend without going over $50. So, 10.50 x 4 = 42. So, now we subtract 42 from 5, so therefore we are left with 8. So we could write the equation like

- Y= 50-10.50(x)

Or

- 50-10.50(x) = y

So, plugging in the numbers we got, it would look like this

Y= 8

X= 4

So, it would be written like this:

8= 50 - 10.50(4)

8= 50- 42

Y=8.

I hope this helped!

The equation in which y represents the amount left on the gift card after purchasing x card packages is given by y = 50 - 10.50x

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Given that,

Total amount that can be spent = $50.

Cost of one Pokemon card package = $10.50.

Also, y represents the amount left after purchasing  x card packages.

Since, the price of one card package = $10.50

Price of x card packages = 10.50x

The equation for amount y left after purchasing x card packages

y = 50 - 10.50x

The required equation for amount left can be given as y = 50 - 10.50x.

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To find z^4, we can raise z to the fourth power, since z^4 = (z)^4. Using the polar form of z, we have:

z = 2cis(60°)

We can convert this to rectangular form using the following formulas:

x = r cosθ

y = r sinθ

where r is the magnitude of z, and θ is the angle in radians.

r = 2

θ = 60° = π/3 radians

x = 2 cos(π/3) = 1

y = 2 sin(π/3) = √3

Therefore, z = 1 + √3i

Now, we can raise z to the fourth power:

z^4 = (1 + √3i)^4

Using the binomial expansion formula, we can expand this expression:

z^4 = 1 + 4(√3i) + 6(-1) + 4(-√3i) + 1

Simplifying, we get:

z^4 = -8 + 8√3i

Therefore, z^4 in rectangular form is -8 + 8√3i.

Answer:

Think about the PEMDAS rules for order of operations.

Multiplication comes before addition or subtraction, so first we have "the product of a number and 5" - that's 5x. Then "six more" than that would be 5x + 6. "Equals" means the "=" sign, so the final answer is 5x + 6 = 8.

Answer:

the polygon is a trapezoid

Step-by-step explanation:

(1, −1), (4, −1), the two points having the same y coordinate they make a horizontal line

(−1, −3), (7, −3) the two points having the same y coordinate they make another horizontal line

All horizontal lines are parallel.

The shape is a trapezoid because it has one pair of parallel lines.

Answer:

N = -2M + 110

Step-by-step explanation:

Use the point (70, 20) and (50, 30) to find the slope. Use rise/run.

You go down 20 and right 10, so the rise/run is -20/10 which reduces to -2.

To find the y-intercept, go to the y axis and see where the intersects it which is 110.

N = -2M + 110

The monomial that is a perfect cube is (d) 343p⁶q²¹r⁶

From the question, we have the following parameters that can be used in our computation:

The expressions in the list of options

All the expressions are monomial

By definition, a monomial that is a perfect cube is represented as

a³

Using the above as a guide, we have

option (d) 343p⁶q²¹r⁶

When expressed as perfect cube monomial, we have

343p⁶q²¹r⁶ = (7p²q⁷r²)³

Hence, the monomial that is a perfect cube is (d) 343p⁶q²¹r⁶

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The probability of rolling a die and getting a 2, then a 5, is 1/36.

To determine the probability of rolling a die and getting a 2, then a 5, we need to multiply the probabilities of each event happening.

First, let's consider the probability of rolling a die and getting a 2. Since there are six equally likely outcomes when rolling a fair six-sided die (numbers 1 to 6), the probability of rolling a 2 is 1/6.

Now, let's consider the probability of rolling a die and getting a 5. Again, there are six equally likely outcomes, so the probability of rolling a 5 is also 1/6.

To find the probability of both events happening, we multiply the probabilities:

Probability of rolling a 2 and then a 5 = (1/6) * (1/6) = 1/36.

Therefore, the probability of rolling a die and getting a 2, then a 5, is 1/36.

It's important to note that each roll of the die is an independent event, meaning that the outcome of one roll does not affect the outcome of the next roll. Therefore, the probability of rolling a 2 and then a 5 remains constant at 1/36 regardless of previous rolls or the order in which they occur.

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Answer:

Step-by-step explanation:

Using

Point A: x= 1 and y=3

And point B: x=-2 and y=-6

use equation of slope and substitute the values

Slope= YB-YA/Xb-Xa

= -6-3/-2-1

=3

Explanation:

The graph of a function with the form

y = a(x - h)² + k

is a parabola with vertex at (h, k)

In this case, the function is

y = -(x - 1)² + 2

So, the graph will be a parabola with vertex at (1, 2).

Then, we can sketch the graph finding two points.

If x = 0

y = -(0 - 1)² + 2

y = -(-1)² + 2

y = -1 + 2

y = 1

If x = 2

y = -(2 - 1)² + 2

y = -(1)² + 2

y = -1 + 2

y = 1

Therefore, we will use the points (0, 1), (2, 1), and the vertex (1, 2) to make the graph as follows

Answer:

Answer:

160 is your answer.

Step-by-step explanation:

I got it right on a test.

Answer:

11331 non fiction books

Step-by-step explanation:

Given :

Total books = 67982

Childrens section = 1/3 of total

Number of children's books :

(1/3 * 67982) = 22660 books (approximately)

Books left :

67982 - 22660 = 45,322 books

Fiction books:

75% of remaining

0.75 * 45322

33991.5

= 33991 books

If the only section left is non - fiction, then

Non - fiction books = (45322 - 33991) = 11331

The difference between the freezing point of seawater and the freezing point of nitric acid is 40 °C.

As per the question, we can write

The freezing point of seawater = −2 °C.

The freezing point of nitric acid = −42 °C.

We were asked to calculate the difference between the freezing point of seawater and the freezing point of nitric acid. We can find the difference between the freezing point of seawater and the freezing point of nitric acid by following the steps mentioned below;

The difference between the freezing point of seawater and the freezing point of nitric acid = Freezing point of Seawater - Freezing point of nitric acid

The difference between the freezing point of seawater and the freezing point of nitric acid = -2 - (-42) = 40 °C.

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We have a proportion between prize points and raffle tickets: 1 price point per 5 raflle tickets.

We can use the rul of three to calculate how many prize points correspond to 405 raffle tickets:

"If 5 raffle tickets correspond to 1 prize point, then 405 raffle tickets correspond to x prize points"

NOTE: is useful to write and operate the units to check if the answer is correct.

Answer: 81 prize points.

Answer:

\(\dfrac{5e^2}{2}\)

Step-by-step explanation:

Differentiation is an algebraic process that finds the slope of a curve. At a point, the slope of a curve is the same as the slope of the tangent line to the curve at that point. Therefore, to find the slope of the line tangent to the given function, differentiate the given function.

Given function:

\(y=x^2\ln(2x)\)

Differentiate the given function using the product rule.

\(\boxed{\begin{minipage}{5.5 cm}\underline{Product Rule for Differentiation}\\\\If $y=uv$ then:\\\\$\dfrac{\text{d}y}{\text{d}x}=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}$\\\end{minipage}}\)

\(\textsf{Let\;$u=x^2}\)\(\textsf{Let\;$u=x^2$}\implies \dfrac{\text{d}u}{\text{d}x}=2x\)

\(\textsf{Let\;$v=\ln(2x)$}\implies \dfrac{\text{d}v}{\text{d}x}=\dfrac{2}{2x}=\dfrac{1}{x}\)

Input the values into the product rule to differentiate the function:

\(\begin{aligned}\dfrac{\text{d}y}{\text{d}x}&=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}\\\\&=x^2 \cdot \dfrac{1}{x}+\ln(2x) \cdot 2x\\\\&=x+2x\ln(2x)\end{aligned}\)

To find the slope of the tangent line at x = e²/2, substitute x = e²/2 into the differentiated function:

\(\begin{aligned}x=\dfrac{e^2}{2}\implies \dfrac{\text{d}y}{\text{d}x}&=\dfrac{e^2}{2}+2\left(\dfrac{e^2}{2}\right)\ln\left(2 \cdot \dfrac{e^2}{2}\right)\\\\&=\dfrac{e^2}{2}+e^2\ln\left(e^2\right)\\\\&=\dfrac{e^2}{2}+2e^2\\\\&=\dfrac{5e^2}{2}\end{aligned}\)

Therefore, the slope of the line tangent to the graph of y = x²ln(2x) at the point where x = e²/2 is:

\(\boxed{\dfrac{5e^2}{2}}\)

The slope of a line parallel to the line whose equation is x + y = 5 is -1.

The slope serves as a measure of the lines' steepness and direction. Its definition is that it is the ratio of the rise, which is the vertical change between two points, to the run, which is the horizontal change between the same two points.

Slope (m)=rise/run=(y₂-y₁)/(x₂-x₁) where (x₁,y₁) and (x₂,y₂) are the coordinates of the two points that lie in the line.

Then, the equation with the slope is of the form, y=mx+c where m is the slope and c is the y-intercept.

The given equation can be written in the above form, y=5+(-1)x. From this, the value of m is found to be -1. Since the slopes of all parallel lines are equal, any line that runs parallel to this one will also have the same slope. Therefore, the answer is -1.

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Here, we are required to apply ratios and proportions to help convert a recipe to serve more people.

The recipe for 30 people would be as follows:

The recipe in the question above only serves 8 persons.

However, we are required to convert the recipe into one that serves 30 persons.

To do that, it is important to first convert the recipe into one that serves one(1) person.

If the recipe serves 8 persons, therefore to serve 1 person, it requires dividing the quantity of each ingredient by 8.

The results are as follows:

The new recipe above is for serving 1 person Molten lava cake.

Therefore, to serve 30 persons with the Molten lava cake, the quantity of each ingredient required for 1 person's serving i multiplied by 30.

The results are as follows:

However, the question requires that the quantities be rounded off to the nearest half.

therefore we have,

4 c of sugar

22 ¹/2 squares of bittersweet chocolate

7 ¹/2 squares semisweet chocolate

4 ¹/2 stick butter

2 cup all-purpose flour

5 ¹/2cups confectioners’ sugar

11 ¹/2 large eggs

15 egg yolks

4 tsp vanilla extract

9 ¹/2 tablespoons orange liqueur.

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Answer:

46

Step-by-step explanation:

27+4*5+8-7-2=

27+20+8-7-2=

47+8-7-2=

55-7-2=

48-2=

46

Answer:

angle a: 70°

angle d: 70°

angle dce: 35°

x: 15m

y: 14m

Step-by-step explanation:

all triangles add to 180° so 35 + 75 = 110 and 180-110 = 70

where the two triangles connect and cross, the angles will be the same so it will have the same angle measures as the first triangle which makes the triangles similar

knowing that they are similar triangles will help with figuring out the lengths of the sides.

since they are similar, their sides will be proportional, we just need to figure out the ratio

if we lay the triangles on top of each other, the two 75° angles match up and therefore the sides do too so we can make a fraction 12/18 = 10/x

now we can solve for x

multiply both sides by x

12x/18 = 10

now multiply both sides by 18

12x = 180

divide both sides by 12

x = 15

now we do the same for y

12/18 = y/21

12*21/18 = y

y = 14

hope this helps!

Answer: 780 divided by 6

Step-by-step explanation: it is C because you divide the lose into the 6 owners of the company.

The expression for the change in profit of each owner is the ratio of the total loss to the number of owners since the loss is shared equally, hence, the expression is -780 / 6

Given that :

Total loss = $780 ; since we are dealing with loss and not profit, we represent the amount lost as negative

Hence,

Total loss = -$780

Number of owners = 6

Change in profit of each owner = -$780 / 6

Therefore, the change in profit of each owner is -$780/6

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Answer:

45

Step-by-step explanation:

We are using sigma notation to solve for a sum of arithmetic sequences:

The 5 stands for stop at i = 5 (inclusive)

The i = 1 stands for start at i = 1

The 3i stands for expression of each term in the sum

Answer:

Step-by-step explanation:

Each of the given equations describes a line on a graph. There are numerous ways to find the values of x and y that will satisfy both equations at the same time. Two of them you have seen are "substitution" and "elimination." Here, "substitution" is easily accomplished by equating one expression for y to the other expression for y:

  y = y

  100 +65x = 40 +80x . . . substitute for y

  60 +65x = 80x . . . . . . . subtract 40 from both sides

  60 = 15x . . . . . . . . . . . . subtract 65x from both sides

  4 = x . . . . . . . . . . . . . . divide both sides by 15

  y = 40 +80x = 40 +80(4) = 360 . . . . find the value of y

The values of x and y that satisfy both equations are ...

  (x, y) = (4, 360)

__

The point (4, 360) is on both lines. That is the point where the lines intersect. It means 4 hours work will cost $360 in either shop.

__

The time of 4 hours that we found above is the "break-even" or "crossover" point in the cost equations. For times below that point, the lowest cost comes because of the lowest "service charge". For times above that point, the lowest cost comes because of the lowest per-hour charge.

3 hours is less than 4 hours, so the shop with the lowest service charge will have a lower cost. That is Amy's shop. Her price for 3 hours is ...

  40 +80(3) = 40 +240 = $280 . . . for 3 hours work in Amy's shop

__

If you want to make sure of that, you can find the cost in Mike's shop:

  y = 100 +65(3) = 100 +195 = $295 . . . for 3 hours in Mike's shop

A point is chosen randomly on KN. The probability that the point is on KL or MN would be 11/18.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

The length of segment K L is 3 units.

The length of segment L M is 7 units.

The length of segment M N is 8 units.

The length of the segment KL + MN

KL + MN = 11

The total length of the segment KN

KL +LM + MN

3 + 7 + 8 = 18

SO, The probability that the point is on KL or MN = 11/18

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Answer:

x=-3

Step-by-step explanation:

55+54 equals 109

180 minus 109 equals 71

-3 plus 74 equals the 71 degrees that you need

The domain value that corresponds to a range value of 4 is,

⇒ x = 1/2

Given that;

Function is,

y = 4x + 2

Since, the equation equal to the range value:

4 = 4x + 2

Then, we can solve for "x":

4 - 2 = 4x

2 = 4x

x = 1/2

Now that we have the value of "x", we can find the corresponding value of "y" by substituting it into the given equation:

y = 4x + 2

y = 4(1/2) + 2

y = 4 + 2

y = 6

Therefore, the domain value that corresponds to a range value of 4 is,

⇒  x = 1/2

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Step-by-step explanation:

22

A thermally insulated vessel contains

150 g of water at 0°C. Then the air from the

vessel is pumped out adiabatically. A

fraction of water turns into ice and the rest

evaporates at 0°C itself. The mass of

evaporated water will be closest to:

(Latent heat of vaporization of

water = 2.10 x 106 Jkg - and Latent heat of

Fusion of water = 3.36 x 105J kg-1)

Answer:

\(\displaystyle -2\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

a = 4

b = 8

f(4) = -1

f(8) = -9

Step 2: Find Average Rate

Answer:

slope = 4

points on graph = (0,0), (1,4)

Step-by-step explanation:

line going through quadrants 1 and 3. Straight line.

Answer:

\(\frac{1}{6}\)

Step-by-step explanation:

the third option