The graph above shows how the price of video games varies with the demand quantity. The equilibrium _____ is $50, and the equilibrium _____ is 200 video games. price, quantity quantity, price

Answer: Jim’s gas credit card bill was $187.4 for summer?

Step-by-step explanation:

80.97+ 41.35+65.08=187.4

the answer is $187.4

Answer:

y = 12 x = 12\(\sqrt{3}\)

Step-by-step explanation:

This is a 60, 90, 30. It's a special triangle.

2z = 24

z = 12

If x = z\(\sqrt{3}\)

then x = 12\(\sqrt{3}\)

y = z itself

So y = 12

Answer:

first graph

Step-by-step explanation:

x > n

the graph will have an open circle at the value n , indicating that x cannot equal n ( note solid circle if x ≥ n )

the arrow from n will point in the right direction, indicating values of x greater than n.

the graph representing x > n is the first graph

Answer:

Step-by-step explanation:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89,144,233,377,610,987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, ... Can you figure out the next few numbers?

The approximate difference in the circumferences of the two circles is: C. 61 cm.

Mathematically, the circumference of a circle can be calculated by using this mathematical expression:

C = 2πr or C = πD

Where:

Substituting the given parameters into the circumference of a circle formula, the circumference of the small circle is;

Circumference of circle, C = πD

Circumference of circle, C = 3.14 × 4.5

Circumference of circle, C = 14.13 cm.

For the larger circle, we have:

Circumference of circle, C = 3.14 × 24

Circumference of circle, C = 75.36 cm.

Difference = 75.36 cm - 14.13 cm.

Difference = 61.23 ≈ 61 cm.

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Answer:

an estimate of 300000

Step-by-step explanation:

saw this and this is what my science teacher told me

Hope this helped :D

The average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.

To determine the average rate of change of the school's enrollment during the given time period, we can use the formula:

Average rate of change = (Change in enrollment) / (Change in time)

The change in enrollment is calculated by subtracting the initial enrollment from the final enrollment, while the change in time is calculated by subtracting the initial year from the final year.

Given that in 2004 there were 975 students enrolled and in 2009 there were 730 students enrolled, we can calculate the change in enrollment:

Change in enrollment = 730 - 975 = -245 students

The change in time can be calculated as:

Change in time = 2009 - 2004 = 5 years

Now we can calculate the average rate of change:

Average rate of change = (-245 students) / (5 years) = -49 students per year

Therefore, the average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.

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Answer:

x=2

x=4

Step-by-step explanation:

the range is x>0

Move the expression to the left side and change it's sign to get

log6(x^2+8)-log6(x)=1

using loga(x)-loga(y) = loga (x/y) to simplify log6(x^2+8/x)=1

convert it to exponential form to get x^2+8/x=6

multiply both sides of the equation by x to get x^2+8=6x

move variable to the left

x^2-6x+8

factor out x from the expression

x (x-2) -4 (x-2) =0

factor out x-2

(x-2) x (x-4) = 0

set both equal to 0 and get x=2 x=4

The constant of proportionality is usually used in stuff regarding to coordinates. It basically is that values increase or decrease proportionally to another value, such as on a graph, say you have a linear equation that gains 4 units up for every 3 units it moves to the right. Those two values are proportional because they'll continue to move at the same predictable rate. The image below is that line. It doesn't just apply to linear equations though, it can apply to other kinds, like exponential or absolute value equations.

Sorry if this wasn't super concise, as this is a really hard topic to explain just over text. However, if it did help a lot, please give me brainliest as I'm trying to rank up. Thanks!

Constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The  relationship between diameter of circle and radius of circle is d=2r

Relationship between Area of a circle vs. its diameter

Area of circle=π(d/2)²

The constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship.

The values increase or decrease proportionally to another value, such as on a graph, say you have a linear equation that gains 4 units up for every 3 units it moves to the right.

The x and y values are proportional because they'll continue to move at the same rate.

Hence constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship.

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Answer:

The triangles are similar.

Explanation:

Similar triangles have 3 pairs of congruent angles. In this diagram, we can see that the triangles WXP and WYZ share angle W, which is congruent to itself; therefore, they have at least 1 pair of congruent angles. We are given that angle X is congruent to angle Y, so that is a second pair of congruent angles. Finally, we know that angle P is congruent to angle Z because if two pairs of corresponding angles are congruent, then the third pair must also be congruent because the measures of the interior angles of both triangles have to add to 180°.

Answer:

Exact Form:

x = 6 + 3 square root sign 10, 6 - 3 sqaure root sign 10

Decimal Form:

x = 15.48683298...-3.48683298 ...

Step-by-step explanation:

Answer: m<2= 126 and is supplementary angle

This can be further expressed as:

This becomes:

From the first law of logarithm;

Thus, we have:

Hence, the final answer is 5In3

Answer:

  b = 20

Step-by-step explanation:

This is a right triangle with the ratio of the given sides being ...

  15 : 25 = 3 : 5

This means it is a 3:4:5 right triangle. The side ratios are ...

  a : b : c = 3 : 4 : 5 = 15 : 20 : 25

The missing side length is b = 20.

__

You can also figure this using the Pythagorean theorem.

  c² = a² + b²

  25² = 15² +b²

  625 -225 = b² = 400

  b = √400 = 20

The missing side length is 20.

The missing numbers that complete the ratio 14:8:14 = _ : _ : 9 are 7 and 4.

To find the missing numbers in the ratio 14:8:14 = _ : _ : 9, we can use the concept of proportionality.

First, we need to determine the common ratio between the numbers. To do this, we divide each number in the ratio by the smallest number, which is 8:

14 ÷ 8 = 1.75

8 ÷ 8 = 1

14 ÷ 8 = 1.75

Now, we can write the ratio in terms of the common ratio:

1.75 : 1 : 1.75

we multiply each part of the ratio by a common factor.

In this case, we can multiply each part by 4 to obtain whole numbers:

1.75 × 4 = 7

1 × 4 = 4

1.75 × 4 = 7

Therefore, the missing numbers that complete the ratio 14:8:14 = _ : _ : 9 are 7 and 4.

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The unit rate of cups of lemonade per lemon is in the ratio of 6:1.

The unit rate is the ratio of two or more quantities or values that are compared to one another.

Unit rates are also known as the constants of proportionality, constant rate, rate of change, or slope.

The number of lemons required to make 18 cups of lemonade = 3 lemons

Rate of lemonade per lemon = 18/3 = 6/1

Ratio = 6:1 or 1:6

Conversely, the rate of lemon per cup of lemonade = 1/6

Thus, we can conclude that for Zendaya to make 6 cups of lemonade, she requires 1 lemon, or alternatively, the ratio of lemon to a cup of lemonade is 1:6.

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Answer:

x = 13.5 weeks

Step-by-step explanation:

Since he wants to save $189 in total, that will be on one side of the equation by itself. You have to set this up in a y = mx + b equation. The y will be the 189. Since the word "each" goes with the number 14, that will be your m value. There is no value for b.

189 = 14x is your equation. The only step after setting up the equation is to divide 189 by 14. This gives you 13.5. Dennis will have to save up for 13.5 weeks.

Answer:b

Step-by-step explanation:

The unit rate of the number of pages penny reads per hour is; 56 pages per hour

A unit rate is also called unit ratio and it describes how many units of the first type of quantity corresponds to one unit of the second type of quantity.

Now, we are told that;

Number of pages penny reads = 14 pages

Time he takes to read the 14 pages = 1/4 hours

Thus, applying the concept of unit rate gives;

Unit rate = 14/(1/4)

Unit rate = 14 * 4/1

Unit rate = 56 pages per hour

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The composite mapping (f o g)(x) ≥ 3 for the functions f(x) = 2x + 1 and g(x) = x² + 1. And (f o g)(x) > 0 for the functions f(x) = x² and g(x) = x.

A mapping is composite when the co- domain of the first mapping is the domain of the second mapping.

For the functions f(x) = 2x + 1 and g(x) = x² + 1

If x > 0, say x = 1 then;

g(x) = 1² + 1

g(x) = 2

(f o g)(x) = 2(2) + 1

(f o g)(x) = 4 + 1

(f o g)(x) = 5

If x = 0, then;

g(x) = 0² + 1

g(x) = 1

(f o g)(x) = 2(1) + 1

(f o g)(x) = 2 + 1

(f o g)(x) = 3

For the functions f(x) = x² and g(x) = x

If x < 0, say x = -0.5, then;

g(x) = -0.5

(f o g)(x) = (-0.5)²

(f o g)(x) = 0.25

In conclusion, the composite mapping (f o g)(x) ≥ 3 for functions f(x) = 2x + 1 and g(x) = x² + 1 and (f o g)(x) > 0 for the functions f(x) = x² and g(x) = x.

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Answer:

39.2°

Step-by-step explanation:

Vertical angles are always congruent.

Answer:

The angle is 140.8

Step-by-step explanation:

A straight angle is equal to 180°

So 180° minus 39.2° equals the answer

If the Federal Reserve sells $60,000 in Treasury bonds to a bank at 8% interest, the immediate effect on the money supply is B. It is decreased by $60,000.

One of the monetary factors that decreases the money supply in the economic is when the Federal Reserve raises the banks' reserve requirements.

Another factor that can decrease the money supply is the sale of treasury bonds to banks.

Raising the interest rates also decreases the money supply.

Thus, by selling $60,000 in Treasury bonds to a bank at 8% interest, it decreases the money supply.

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Answer:

180

Step-by-step explanation:

I need to draw a picture to explain.

Answer:

\((a) \dfrac{dP}{dt} =k P(t)\\(b)P(t)=Ce^{kt}\)

(c)\(P(10)\approx 272\)

(ii)\(P(1000)\approx 26.88 \times 10^{44}\\\)

Step-by-step explanation:

(a)The rate of growth of the population is proportional to the population, this is written as:

\(\dfrac{dP}{dt} \propto P(t)\\$Introducing our proportionality constant, k\\ \dfrac{dP}{dt} =k P(t)\)

(b)

\(\dfrac{dP(t)}{P(t)} =k dt\\$Take the integral of both sides\\\int \dfrac{dP(t)}{P(t)} =\int k dt\\\ln P(t)=kt+C, $C a constant of integration\\Take the exponential of both sides\\e^{\ln P(t)}=e^{kt+C}\\P(t)=e^{kt}\cdot e^C $, (Since e^C$ is a constant, we then have:)\\P(t)=Ce^{kt}\)

(c)

Suppose the net birthrate of the population is .1, and the initial population is 100.

k=0.1

P(0)=100

Substitution into P(t) gives:

\(100=Ce^{kX0}\)

C=100

Therefore:

\(P(t)=100e^{0.1t}\)

(i)When t=10

\(P(10)=100e^{0.1 \times 10}\\=271.8\\\approx 272\)

(ii)When t=1000

\(P(1000)=100e^{0.1 \times 1000}\\=26.88 \times 10^{44}\\\)

Answer:

$383,500.68  

Step-by-step explanation:

The amount needed is the present value of the $30,000 that Anna will withdraw for 25 years compounded at 6% annually

=pv(rate,nper,pmt,fv)

rate is the annual rate of 6%

nper is the number of years of withdrawal which is 95-70=25

pmt is the amount of annual withdrawal which is $30,000

fv is the amount of withdrawals which is unknown

=pv(6%,25,-30000,0)=$383,500.68  

The amount of she required at 70 is $$383,500.68   which gives her the benefit of withdrawing $30,000 per year at retirement

Answer:

C

Step-by-step explanation:

 2

+2

-----

 4

Answer:

Step-by-step explanation:

7:15 +30=7:45

Answer:

March is the first month

Step-by-step explanation:

If we make a graph. We can see that the quantity of sold water skis overpasses the quantity of snow skis in the month of March.