Sketch a graph of the solutions to this situation,

It costs $0.50 to download an individual song and $4 to download an album. Jada has $15 to spend downloading music. Take a picture and upload it.

Answer:

(-1/3; 4)

Step-by-step explanation:

(-2, -1) , (-1, 6 ) and (2, 7).​

x=(-2-1+2)/3= -1/3

y=(-1+6+7)/3=12/3=4

=> (-1/3; 4)

Answer:

23/30

Step-by-step explanation:

x/y

(3 5/6)/(3 3/4)

((3*6)+5/6)/((3*4)+ 3/4)

(18+5/6)/(12+3/4)

(23/6)/(15/4)

(23/6)*(4/15)

(23*3)/(6*15)

(69/90)

23/30

Answer:

1 1/45

Step-by-step explanation:

Answer:

ans: 5

Step-by-step explanation:

use the set theory to solve it,

Answer: x² - x - 12

Step-by-step explanation: When multiplying two binomials together, we can use the F.O.I.L. method.

First, Outer, Inner, Last.

We take the product of the first terms which is x² plus the product of the outer terms which is -4x plus the product of the inner terms which is 3x plus the product of the last terms which is -12.

So we have x² - 4x + 3x - 12.

Simplifying from here by combing the middle terms, we have x² - x - 12.

Pay very close attention to your positives and negatives as you F.O.I.L. because this is the area where most mistakes occur.

If we graph the angel's ppc then the slope of angel's ppc will be -1.

Given, Tim and Angel are working on promoting an event for a club they are in on campus.

In one afternoon, Tim can make 4 flyers or 5 posters, and Angel can make 3 flyers or 6 posters.

we have to find the slope of the angel's ppc if we graph the angel's ppc.

As, the graph of the angel's ppc will pass through the point (3 , 6).

so, the slope = (6 - 5)/(3 - 4)

slope = 1/-1

slope = -1

Hence, if we graph the angel's ppc then the slope of angel's ppc will be -1.

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Answer: 630 rabbits

Step-by-step explanation: it shows that the population of rabbits grows by 70 each 4 years so we will have to add 70 to 560 which is 630 rabbits.

The population of rabbits in the year 2014 will be growing exponentially.

So, we can write a function

P = A · \(\alpha ^{x}\)

where,

A is the original rabbits

\(\alpha\) is the ratio of the increase

\(x\) is the time (the unit is year)

In 2004, the population of the rabbits was 490

∴ P = 490 · \(\alpha ^{x}\)

In 2008, the population increases to 560

∴ 560 = 490 · \(\alpha ^{2008-2004}\)

   560 = 490 · \(\alpha ^{4}\)

  \(\alpha ^{4\\\) = \(\frac{560}{490}\) = \(\frac{8}{7}\)

  \(\alpha\)   = \(\sqrt{\frac{2\sqrt{14} }{7} }\)

In 2014, x = 2014- 2004 = 10

P = 490 · \(\sqrt{\frac{2\sqrt{14}}{7} } ^{10}\)

  ≅ 684

Hence, the population of rabbits in the year 2014 will be approximately 684.

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The correct answer is $56,000.the total profit for Pinewood Furniture Company, considering only the production of 200 chairs and 400 tables

To determine the total profit for Pinewood Furniture Company, we need to calculate the profit generated from producing 200 chairs and 400 tables.

Each chair generates a profit of $80, and if 200 chairs are produced, the total profit from chairs would be:

200 chairs * $80/profit per chair = $16,000.

Similarly, each table generates a profit of $100, and if 400 tables are produced, the total profit from tables would be:

400 tables * $100/profit per table = $40,000.

Therefore, the total profit for Pinewood Furniture Company, considering only the production of 200 chairs and 400 tables, would be:

$16,000 (profit from chairs) + $40,000 (profit from tables) = $56,000.

Hence, the correct answer is $56,000.

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Answer:

  y = 2·5^x

Step-by-step explanation:

Using the given points, we can solve for 'a' and 'b'.

  y = ab^x

  2 = ab^0 = a . . . . . substitute (0, 2) for (x, y)

__

  1250 = 2·b^4 . . . . substitute for 'a' and (4, 1250) for (x, y)

  625 = b^4 . . . . divide by 2

  5 = b . . . . . . . take the 4th root

The function is ...

  y = 2·5^x

____

Additional comment

There are two real and two imaginary 4th roots of 625. Only the positive real root is useful as the base in an exponential function like this.

Answer:

1 apple

Step-by-step explanation:

3-2=1

But if you want to be Technical You still have 3. Because you took them away so you still have what you started with.

but the answer is 1 apple. 193 IQ

Step-by-step explanation:

the general equation of a parabola is

y = f(x) = a(x - h)² + k

with (h, k) being the vertex.

compare it to the given function :

f(x) = (x + 3)² - 1

clearly,

k = -1

h = -3

so, the vertex is (-3, -1).

if a > 0, then the parabola opens up.

if a < 0, then the parabola opens down.

in our case, a = 1, so it opens up.

and that means the vertex is a minimum (as all other points will be "above" it, meaning their y- or f(x)-value will be larger).

Answer:

1. Coordinates of the vertex of the graph: (-3, -1)

2. The graph opens up.

2. The graph has a minimum.

Step-by-step explanation:

Currently, f(x) = (x + 3)^2 - 1 is in the vertex form of a quadratic equation.  The general equation of the vertex form is given by:

f(x) = a(x - h)^2 + k, where

1.  When dealing with the vertex form, the h coordinate becomes the opposite of what it is inside the parentheses.  Thus, h is -3 and k is -1.  Therefore, the coordinates of the vertex are (-3, -1).

2. Question #1:  We can imagine that there's an imaginary 1 in front of (x + 3)^2 and thus a = 1.

Since a = 1 and a > 0, the parabola opens up.

2. Question #2:  All parabolas that open up will by definition have a minimum.  Thus, the graph of the function f has a minimum.

The ordered pairs which correctly lists all of the x-intercepts of the graphed function include the following: C. (1, 0), (2, 0), and (–3, 0).

In Mathematics, the x-intercept can be defined as the point at which the graph of a particular function crosses the x-coordinate (x-axis) and the value of "y" is equal to zero (0).

By critically observing the given graphed function (see attachment), the x-intercept is given by the following ordered pairs:

This ultimately implies that, this function would cross the x-coordinate (x-axis) at points (1, 0), (2, 0), and (-3, 0).

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Answer:

Time taken=Velocity/acceleration

=2/5

=0.4

v=2-(-5×0.4)

=4

The value for v is 4

Answer:

v=u+at

so, u=2

a=-5

t=(not given/e)

so, v=2+(-5)(N.G/e)

v=2-5(N.G./e)

We can conclude that the socioeconomic class of the offender is related to the likelihood of arrests.

Based on the information provided, we can conclude that there is a significant relationship between arrests and the socioeconomic class of the offender.
Identify the chi-square critical score: 9.488

Identify the chi-square test statistic: 12.2
Compare the test statistic to the critical score:

If the test statistic (12.2) is greater than the critical score (9.488), then there is a significant relationship between the variables.
In this case, 12.2 > 9.488, so there is a significant relationship between arrests and the socioeconomic class of the offender.
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The prediction thay the shopper can make about buying mystery bags in the future is A.There will be 4 more spy novels in 8 bags than in 6 bags.

Since the shopper bought 3 mystery bags and found that 6 books were spy novels, it means that there are 6/3 = 2 spy novels in each bag.

There, the prediction thay the shopper can make about buying mystery bags in the future is that there will be 4 more spy novels in 8 bags than in 6 bags.

This is because there's an extra 2 bags which will be equal to 4 spy novels

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Answer:

Area of right angle triangle is axb/2

3x4/2 = 6 sq. Cm

Area of parallelogram = bxh

20x21.5 = 430 in2

Answer:

Area of the triangle: 6 cm
Area of the parallelogram: 430 in²

Step-by-step explanation:

Area of a triangle formula is base * height * 1/2, in this case 4 * 3 * 1/2, which equals 6.

Area of a parallelogram formula is base * height, in this case 21.5 * 20 which equals 430.

Answer:

8

Step-by-step explanation:

2×2×2=8

Answer:

8

Step-by-step explanation:

Answer:

obtuse angled triangle

The differential equation that models this situation is dx/dt = kx(M - x) (option c).

To determine the differential equation that models the situation, let's analyze the problem statement.

The rate at which a person can memorize a list of M words is proportional to the product of the number of words memorized and the number of words that have not been memorized.

Let's denote the number of words memorized as "a" and the number of words not yet memorized as "M - a" (where M is the total number of words in the list).

The problem states that the rate of memorization is proportional to the product of "a" and "M - a". We can express this mathematically as:

Rate of memorization ∝ a * (M - a)

To convert this proportionality into an equation, we introduce a positive constant k:

Rate of memorization = k * a * (M - a)

The left side of the equation represents the rate of change of the number of words memorized (da/dt), and the right side represents the product of "a" and "M - a" multiplied by the constant k.

Therefore, the differential equation that models this situation is:

da/dt = k * a * (M - a)

Comparing this with the given options, we can see that the correct choice is option C:

dx/dt = k * x * (M - x)

The complete question is:

At any time t > 0 the rate at which a person can memorize a list of M words is proportional to the product of the number of words memorized and the number of words that have not been memorized. If a denotes the number of words memorized at time t, which differential equation models this situation? Assume k is a positive constant.

A. dx/dt = kx

B. dx/dt = kx(x - M)

C. dx/dt = kx(M - x)

D. dx/dt = kt(M - t)

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To test for consistency in the given system of equations:

\(\[\begin{align*}x - 4y + 7z &= 14 \\3x + 8y - 2z &= 13 \\7x - 8y + 26z &= 5\end{align*}\]\)\(\[x - 4y + 7z &= 14 \\3x + 8y - 2z &= 13 \\7x - 8y + 26z &= 5\]\)

We can use the method of Gaussian elimination or matrix operations. However, to provide a short answer using LaTeX, I will use matrix notation to perform row reduction:

\(\[\begin{bmatrix}1 & -4 & 7 & 14 \\3 & 8 & -2 & 13 \\7 & -8 & 26 & 5\end{bmatrix}\]\)

Performing row reduction operations, we can obtain the row-echelon form:

\(\[\begin{bmatrix}1 & -4 & 7 & 14 \\0 & 20 & -23 & -29 \\0 & 0 & 1 & -3\end{bmatrix}\]\)

Since we do not have a row with the form [0 0 ... 0 | b], where b is a non-zero value, the system is consistent. Additionally, all the rows have at least one non-zero entry in the augmented column. Therefore, the system of equations is consistent.

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After reducing all the book prices by 50%, the new median price is determined to be $7.70 (B)

To find the new median price after reducing all the book prices by 50%, we first need to calculate the reduced prices. By reducing each given price by 50%, we get $6.375, $7.40, $9.995, $4.975, $8.00, and $8.975 respectively.

Next, we arrange these reduced prices in ascending order: $4.975, $6.375, $7.40, $8.00, $8.975, and $9.995. The median is the middle value in this ordered list. Since there are six prices, the middle two values are $7.40 and $8.00.

To find the median, we take the average of these two values, which gives us ($7.40 + $8.00) / 2 = $7.70.

Therefore, the new median price, after reducing all the book prices by 50%, is $7.70 (B). This means that the median price of the books, after the reduction, is $7.70.

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Yes, the distance between Phoenix and Helena can also be expressed as the difference in their latitudes, which is 13.2°. the radius of the sphere is 3960 miles.

The distance between two points on a sphere can be calculated using the formula: d = r * arccos(sin(latitude1) * sin(latitude2) + cos(latitude1) * cos(latitude2) * cos(longitude1 - longitude2))

where d is the distance between the two points, r is the radius of the sphere, latitude1 and latitude2 are the latitudes of the two points, and longitude1 and longitude2 are the longitudes of the two points.

In this case, the radius of the sphere is 3960 miles. The latitude of Phoenix is 33.4°N. The latitude of Helena is 46.6°N. The longitude of Phoenix and Helena are both 112°W.

Substituting these values into the formula gives us:

Therefore, the distance between Phoenix and Helena is 347.4 miles.

However, it is important to note that this is the shortest distance between the two cities. The actual distance between the two cities may be longer due to the curvature of the Earth.

The difference in the latitudes of the two cities is 13.2°. This means that the two cities are on different parallels. Parallels are lines of latitude that are all the same distance from the equator.

The difference in latitude between two points is equal to the arc length of the parallel that passes through those points.

In this case, the arc length of the parallel that passes through Phoenix and Helena is 13.2° * 360° = 4752 miles. Therefore, the distance between Phoenix and Helena can also be expressed as 4752 miles, which is the difference in their latitudes.

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Radius is 3/2πr when the area of an expanding circle is increasing three times as fast as its radius (in centimeters)

The region encircled by a circle with radius r is known as r2 in geometry. Here, the Greek letter stands for the constant proportion of a circle's circumference to its diameter, which is roughly equivalent to 3.14159. The circumference of a circle is pi times the diameter, or 2 pi times the radius, according to the traditional definition of pi, which is the ratio of a circle's circumference to its diameter. This demonstrates geometrically that the area of a circle is indeed "pi r squared".

Given,

Area of circle = πr²

A = πr²

Differentiating,

dA/dt = 2πr × dr/dt

Given,

The area of an expanding circle is increasing three times as fast as its radius (in centimeters),

dA/dt = 3 dr/dt

To find radius,

3 dr/st = 2πr dr/dt

Cancelling dr/dt

3 = 2πr

r = 2πr

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Step 3 is unnecessary (the statement is already given, plus you haven't proven the triangle is isosceles anyway).

After, omit step 5 and jump straight to 6.

After this, step 6 is the statement that used to be step 5, which is true by CPCTC.

Then, you can prove the required statement by definition from this.

Answer:

8.21

Step-by-step explanation:

To solve for x in the equation:

x - 6.41 = 1.8 (or 1.80)

We want to isolate x on one side of the equation.

First, we can add 6.41 to both sides of the equation:

x - 6.41 + 6.41 = 1.8 + 6.41

Simplifying the left-hand side by canceling out the -6.41 and +6.41, we get:

x = 1.8 (cough cough --> 1.80) + 6.41

x = 8.21

Therefore, the solution is x = 8.21.

Note that adding 6.41 to both sides of the equation is equivalent to moving -6.41 to the right-hand side of the equation, which changes its sign to +6.41. Also, in this case, since 1.8 and 1.80 are the same number, we can treat them interchangeably in the calculations.

According to 10th Amendment it defines the Federal Government only has those powers delegated in the Constitution .

No law establishing a particular religion, forbidding its practice, restricting press or speech freedom, or restricting the right of the people to peacefully assemble and petition the government for redress of grievances may be passed by Congress.

An amendment is a change or improvement that essentially maintains the integrity of the original document. The Bill of Rights is the collective name for the first ten Amendments of the Constitution. It describes Americans' constitutional rights in relation to their government. People are granted civil liberties and rights, such as the freedom of speech, the press, and religion.

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Answer:

192

Step-by-step explanation:

You have to find 20% of 240.

So write 20% as 20 over 240 in fraction form.

\(\frac{20}{240}\)

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have

\(\frac{20}{100}\) of 240 = \(\frac{20}{100}\) × 240

Therefore, the answer is 48

If you are using a calculator, simply enter 20÷100×240 which will give you 48 as the answer.

Now since it  wants to know how much you paid for the goods you do 240-48=192

So since a company is selling goods with a 20% profit

That means they bought it from somewhere else

Because they had to be manufactured

It wants how much the company paid the company that manufactured the goods

I hope this helped. Some resources that are helpful to look at in case of any more confusion are:

https://answers.everydaycalculation.com/percent-of/20-240

https://www.mathsisfun.com/

https://www.ixl.com/

Good luck young mathematician!

Answer:

x=31

Step-by-step explanation:

When x=45    y=60

And when y=36

For that let's take the amount as Z(to find how much was decreased)

60-z=36

60   =36+z

60-36=z

      14=z

45-14

31

Therefore when y=36 x=31

Hope you got it

If you have any question just ask me

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In the given Markov chain, State 1 is absorbing, State 4 is periodic, State 1 is recurrent, and States 3, 4, and 5 are recurrent.

A Markov chain is a stochastic model that represents a sequence of states where the probability of transitioning from one state to another depends only on the current state. Let's analyze the given Markov chain to determine the properties of each state.

State 1: This state has a probability of 1 in the first row, indicating that it is an absorbing state. An absorbing state is one from which there is no possibility of leaving once it is reached. Therefore, statement a) is correct, and State 1 is absorbing.

State 2: There are no transitions from State 2 to any other state, which means it is an absorbing state as well. However, since it is not explicitly mentioned in the question, we cannot determine its status based on the given information.

State 3: This state has non-zero probabilities to transition to other states, indicating that it is not absorbing. Furthermore, it has a loop back to itself with a probability of 1/6, making it recurrent. Hence, statements c) and e) are incorrect, while statement f) is correct. State 3 is recurrent.

State 4: State 4 has a transition probability of 1/3 to State 3, which means there is a possibility of leaving this state. However, there are no outgoing transitions from State 4, making it an absorbing state. Moreover, since there is a loop back to itself with a probability of 2/3, it is also recurrent. Therefore, statement b) is correct, and State 4 is periodic and recurrent.

State 5: Similar to State 4, State 5 has a transition probability of 2/3 to State 3 and no outgoing transitions. Hence, State 5 is also an absorbing and recurrent state. Consequently, statement e) is correct.

To summarize, State 1 is absorbing and recurrent, State 4 is periodic and recurrent, and States 3 and 5 are recurrent.

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