fungsi permintaan P=25-Q dan penawaran P=2Q+1. Hitung surplus konsumen dan surplus produsen saat terjadi market equilibrium!​

Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

Using translation concepts, we concluded that the graph of f(x) compared to the graph of g(x) is: Shifted 8 units right.

                                                      Shifted 4 units up.

What are translation concepts?

An example of a translation is the movement of a point, line, or shape up, down, left, or right on a coordinate plane.

Here, we have

Finding g(x - a) is the equivalent of shifting the graph units to the right, thus, the graph is shifted 8 units to the right.

Adding a to the function is the same as shifting the graph up units, and in this problem 4 is added, thus the graph was also shifted 4 units up.

Hence, we concluded that the graph of f(x) compared to the graph of g(x) is: Shifted 8 units right.

    Shifted 4 units up.

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Answer:

The value of the expression is 0.5.

Step-by-step explanation:

To evaluate, we need to do order of operations.

To solve, we start with the parenthesis because they come first in the order of operations.

-1+3[(10-12)³/(-16)]

-1+3[-2³/-16]

Now we do the second thing in the order of operations, which is to simplify the exponents.

-1+3[-8/-16]

Now we do the third thing left to do, which is to do division and multiplication from left to right.

-1+3[0.5]

-1+1.5

Now we do the last thing left to do, which is to do addition and subtraction from left to right.

0.5

So the value of this expression is 0.5.

Answer: y = -2x + 1

Step-by-step explanation:

The formula for slope-intercept form is y = mx + b. Keep y and x as the variables. Replace m with the slope, which can be found by doing rise/run, and replace b with the y-intercept. The y-intercept is the spot where the line intersects the y-axis.

Hope this helps! Have a great day! :)

The probability of writing the first 7 digits of your phone number is 1/604,800.

Given data ,

To determine the probability of writing the first 7 digits of your phone number, we need to consider the total number of possible outcomes and the favorable outcomes.

Total number of possible outcomes:

When picking 7 digits without replacement from the set of 10 digits (0-9), the total number of possible outcomes is given by 10P7 (permutations of 10 objects taken 7 at a time):

10P7 = 10! / (10 - 7)! = 10! / 3! = 10 * 9 * 8 * 7 * 6 * 5 * 4 = 604,800.

Favorable outcomes:

To have written the first 7 digits of your phone number, you need to pick those specific digits in the correct order. Since the phone number has no repeated digits, there is only one specific order that satisfies this condition.

Therefore, the number of favorable outcomes is 1.

Probability:

The probability is given by the ratio of favorable outcomes to total possible outcomes:

Probability = Favorable outcomes / Total possible outcomes

= 1 / 604,800.

Hence, the probability is 1/604,800.

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The probability that the individual must stop at at least one light that is 0.45.

Probability is the mathematical tool or procedure of predicting how likely a given event is going to happen.

Given is that there are two traffic lights on the route used by a certain individual to go from home to work. Let {E} denote the event that the individual must stop at the first light, and define the event {F} in a similar manner for the second light. Suppose that -

We can write -

P{E ∪ F} = P{E} + P{F} - P{E ∩ F}

P{E ∪ F} = 0.4 + 0.2 - 0.15

P{E ∪ F} = 0.6 - 0.15

P{E ∪ F} = 0.45

Therefore, the probability that the individual must stop at at least one light that is 0.45.

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Answer:

6

Step-by-step explanation:

It is because in a span of 1 x coordinate to the right it went up by 6 so it is 6 over one in fraction form which is 6.

Answer:

Step-by-step explanation:

Set up an equation:

7x + 10x + 13x = 100000 and solve for x:

30x = 100000 so

x = 3333.33

Anna gets 7(3333.33) = 23333.31

Louise gets 10(3333.33) = 33333.33

Lacey gets 13(3333.33) = 43333.29

Answer:

Step-by-step explanation:

I believe u have to factorise

(a+3)(a+5)

If the least value of n is 4, then the inequality best shows all the possible values of n is, n ≥ 4. So Option B is correct

Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.

We use these symbols to represent inequalities, '>' , '<', '≥', '≤'

Given that,

The least value of n is 4,

Inequality representation = ?

It is known that,

Least value  of n is 4

So, Minimum possible value of n is 4

Maximum value of n should be more than 4,

In order to satisfy the condition,

So,

n  > 4

By combining both the things,

It can be written as,

n ≥ 4

Hence, the best inequality representation is n ≥ 4

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\(s = \frac{cardinality(s)}{cardinality( \omega)} = \frac{15}{100} = \frac{1.5}{100} \)

The shaded region represents 1.5 grids

\(1.5 = 1 \frac{0.5}{1} = 1 \frac{5}{10} = 1\frac{1}{2} \)

Answer:

D

Step-by-step explanation:

The answer and work is in the attached screenshot! :)

Answer:

Elena

Step-by-step explanation:

5.2 is bigger than 4.8

Answer:

Priya

Step-by-step explanation:

speed=D÷t

speed=Distance÷time

Elena=20÷5.2=3.8m/sec

Priya=20÷4.8=4.2m/sec

Answer:

120 degrees

Step-by-step explanation:

55+ 185/2 = 120

Answer:

\(8.107 = 8 \times 107 = 856\)

Store revenue will be maximised, if they charge 7 dollars for each movie rental.

The entire amount of money received by an organisation's operations over a predetermined period of time is the basic definition of revenue.

A company's revenue is its total revenue before any expenses are subtracted. According to the definition, revenue is the total sum of money obtained through conducting commercial activities like sales.

Let store charge x $ for each movie.

No.of rented movies per weak = 108-9x(x-z)

Total revenue = x*[108-9(x-2)]

= x*[108-9x+18]

= x*[126-9x]

= 126x-9x^2

Total revenue will be maximised when dT/dx = 0

dT/dx = 126-9*2x

= 126-18x = 0

18x = 126

x = 7$

Store revenue will be maximised, if they charge 7 dollars for each movie rental.

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ANSWER

EXPLANATION

The graph of the parent function f(x) = [x] is

The function has the value of x until the next integer. So we have:

f(x) = 0 when x = 0 until x = 1, and then it changes to f(x) = 1. This is for all values of x. We can say that the function "jumps" on each integer and then keeps its value.

If we do a vertical shift of 2 units we have to add 2 to each value of the parent function. This way the shifted function is f(x) = 2 when x = 0 until x = 1, and then it jumps to f(x) = 3:

Answer:

x = -30

Step-by-step explanation:

Use the direct variation equation, y = kx

Plug in 2 as y and -12 as x, and solve for k:

y = kx

2 = k(-12)

-1/6 = k

So, the equation is y = -1/6x

Plug in 5 as y and solve for x:

y = -1/6x

5 = -1/6x

-30 = x

So, when y = 5, x = -30

Answer:

Step-by-step explanation:

cos A = \(\frac{\sqrt{8} }{3}\)

Answer; 60

Step-by-step explanation:

solution:

here,

4 cars = 12 marbles

1 car = 12/4. = 3 marbles

then,

20 cars = 3(20) marbles

= 60 marbles

We can make this into a fraction  4/12 = 20/x

Then, we will solve for x

4x = 240    cross multiply

x = 60

Joe collects 60 marbles after collecting 20 cars.

The Multiplicative Inverse Property is being used.

Answer: p=50 h=2

Step-by-step explanation:

so its 50 x 2=100 is the answer then u add 3

An estimate for the number of pet dogs and cats in the United States based on a recent survey, written as a single digit times an integer power of 10 is 2 x 10⁸.

An estimate is a rough calculation or judgment arrived at when the details are not required or available.

We can apply number approximation, rounding, and scientific notations in estimation, as above.

First, the number, 183,900,000, can be approximated to 200 million pet dogs as an estimate.

Then, 200,000,000 can be written in a standard form or scientific notation by using an integer that indicates the place value in the power of 10.

Thus, 183,900,000 pet dogs can be estimated as 2 x 10⁸.

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Answer: 23 square feet

Step-by-step explanation:..... ummm yeah?

Answer:

number one is maybe 44 because -44x + 7y is 51 and number 2 is 30 because 30 - 4 is 26 I don't really know let me know if its wrong

Answer:

x = -2

y = 7

Step-by-step explanation:

-x + 7y = 51

-x - 4y = -26

=> -x + 7y = 51

    -x - 4y = -26

=>  -x + 7y = 51

      x + 4y = 26

=> 7y = 51

    4y = 26

=> 7y + 4y = 51 + 26

=> 11y = 77

=> y = 7

=> -x + 7(7) = 51

=> -x + 49 = 51

=> -x = 51 - 49

=> -x = 2

=> x = -2

Hoped this helped.

Answer:

V = 240 in³

Step-by-step explanation:

the volume (V) of the prism is calculated as

V = Bh ( B is the area of the triangular base and h the height of the prism )

B = \(\frac{1}{2}\) bh ( b is the base and h the perpendicular height )

here b = 8 and h = 5 , then

B = \(\frac{1}{2}\) × 8 × 5 = 4 × 5 = 20 in²

the height h of the prism is 12 in , then

V = 20 × 12 = 240 in³

Answer: 4 kilograms of bananas for $7.48

Step-by-step explanation:

Unit price for 1 kilo= $2.06

2.06 x 4 = 8.24

Unit price for 4 kilo= $1.87

2.06 > 1.87

So, 4 kilograms of bananas is the better buy.

Simple form:

Answer 1: 2.06

Answer 2: 1.87

Answer 3: greater than

Answer 4: 4 kilograms of bananas for $7.48

Answer:

2 squads of five can be picked from 10 basketball players

Step-by-step explanation:

To solve this problem you have to divide 10 ÷ 2 which equals to 5.

Answer:

0.40

Step-by-step explanation:

the constant rate of change is given to you in the problem.

The number of miles driven (n) and the total cost of renting the car (c) are related by a constant (k) as follows -

c - \(\frac{2}{5} n\) = k

We have a rental car company charges an upfront fee to rent a car, and then charges $0.40 per mile driven.

We have to determine the constant rate of change through which number of miles driven (n) and the total cost of renting the car (c) are related.

Initial count = x

Count increasing per second = 5

Assume that the bacteria count after t seconds is y. Then -

y = x + 5t

for t = 30 ↔ y = 150 + x

According to the question, we have -

Charge per mile driven = $0.40

n - represents the varying number of miles that you drive in the car.

c - represent the total cost (in dollars) you will have to pay for the rental car.

Assume that the upfront fee to rent a car is - $k

Total charge for driving 'n' miles after paying the upfront fee - $0.40n

The total cost for driving 'n' miles in a rental car -

c = k + 0.40n

c - \(\frac{2}{5} n\) = k

Where k is a constant and is equal to upfront fee.

Hence, number of miles driven (n) and the total cost of renting the car (c) are related by a constant (k) as follows -

c - \(\frac{2}{5} n\) = k

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Using the Empirical Rule, it is found that:

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

The Empirical Rule states that, in a bell-shaped distribution:

-----------

Item a:

\(43.5 - 3(2.77) = 35.26\)

\(43.5 + 3(2.77) = 51.88\)

Within 3 standard deviations of the mean, thus, approximately 99.7%.

-----------

Item b:

\(43.5 - 2(2.77) = 38.03\)

\(43.5 + 2(2.77) = 49.11\)

Within 2 standard deviations of the mean, thus, approximately 95%.

-----------

Item c:

\(43.5 - 2.77 = 40.73\)

\(43.5 + 2.77 = 46.27\)

Approximately 68% of the amounts fall between $40.73 and $46.27.

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It is often used for predicting results in statistics. This rule could be used as an estimate of the consequence of upcoming data to also be collected but also analyzed after determining a confidence interval and before accumulating precise data.

In a clock-shaped distribution, the empirical rule states:

Point a:

\(\to \bold{43.5-3(2.77)= 43.5-8.31= 35.26}\\\\\to \bold{43.5+3(2.77)=43.5+8.31= 51.88}\)

Therefore, approximately \(\bold{99.7\%}\) within 3 standard deviations from the mean.

Point b:

\(\to \bold{43.5-2(2.77)= 43.5-5.54= 38.03}\\\\\to \bold{43.5+2(2.77)= 43.5+ 5.54= 49.11}\\\\\)

Therefore, approximately \(\bold{95\%}\) in 2 standard deviations from the mean.

Point c:

In 1 standard deviation of the mean, \(\bold{68\%}\)is as follows:

\(\to \bold{43.5-2.77= 40.73}\\\\\to \bold{43.5+2.77= 46.27}\)

About \(\bold{68\%}\) of the sums decrease from \(\bold{\$40.73 \ and \ \$46.27}\).

So, the final answer are:

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Answer:

Step-by-step explanation:

To decode the message, we take the string of coded numbers and multiply it by the inverse of the matrix to get the original string of numbers. Finally, by associating the numbers with their corresponding letters, we obtain the original message