Solve the system of linear equations by graphing{y= 2/5x {y= -1/5x +3Graph the equations on the same set of axes.Note: Use different points on each line when plotting the graphs.The solution point is: (_, _)

Answer:

D, g(x) = 1/4 x^2

Step-by-step explanation:

You can try plugging in the x and y values into each equation. The answer to this would be D, where if you plug in 2 as the x value, you get 1/4 * 4 which equals 1. This also makes sense because 2x would have a narrower curve while 1/2x would have a wider curve.

The predicted population of the city 22 years from now is about 109,907 people.

We can use the formula for exponential growth to find the predicted population of the city 22 years from now:

P = P₀(1 + r)ⁿ

where;

P₀ is the initial population,

r is the annual growth rate (as a decimal),

n is the number of years, and

P is the predicted population after n years.

Substituting the given values, we get:

P = 77,435(1 + 0.0105)²²

Calculating this expression, we get:

P ≈ 109,907

Therefore, the predicted population of the city 22 years from now is about 109,907 people.

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Answer:

= - 7.68 I hope this helped you.

Answer:

100

Step-by-step explanation:

So this equation would look something like this -->

8(9.75 - 3.25) + 12 x 4 => Since we have decimals then we should subtract in the parenthasees.

9.75 - 3.25 = 6.5

--> 8(6.5) + 12 x 4 --> 8(6.5) + 48 =>

8(6.5) = 52 --> 52 + 48 = 50 + 50 = 100

Thus, we have our answer of 100

Hope this helps!

Answer:

The answer is 100

Step-by-step explanation:

The equation that we are solving is 8(9.75 - 3.25) + 12 x 4

The order of operations are:

These are my steps that I did to solve the problem:

The final answer is 100.

After 2.5 years the price of land and the price of house will be equal.

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

Given that;

A person purchases a piece of land in Rs.80, 00,000 in 2075 B.S.

And, At the same time of 2075 B.S. a house is constructed on a piece of land in Rs. 2,70,00,000.

Since, The price of land increases at the rate of 20% per annum.

Hence, We get;

A = 80,00,000 (1 + 20/100)ⁿ

And, The price of house depreciates at the rate 20% per annum.

Hence, We get;

A = 2,70,00,000 (1 - 20/100)ⁿ

Let after n years the price of land and the price of house will be equal.

Thus, We get;

80,00,000 (1 + 20/100)ⁿ =  2,70,00,000 (1 - 20/100)ⁿ

8 (120/100)ⁿ = 27 (80/100)ⁿ

8 (6/5)ⁿ = 27 (4/5)ⁿ

Take log both side,

log 8 + n (log 6 - log 5) = log 27 + n (log 4 - log 5)

0.9 + n × 0.8 = 1.4 + n × 0.6

0.9 + 0.8n = 1.4 + 0.6n

0.2n = 0.5

n = 2.5 years

Therefore, After 2.5 years the price of land and the price of house will be equal.

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The value for log₂11 is 3.459.

To find the logarithm of 11 base 2, we need to determine the power to which we must raise 2 to obtain the value 11. In other words, we need to solve the equation 2^x = 11 for x.

Finding the exact value of log₂11 can be challenging since 11 is not a power of 2. Therefore, we can approximate the answer using numerical methods.

One way to approach this is by using the bisection method. We start by considering a lower bound and an upper bound for the value of x. Since 2^3 = 8 and 2^4 = 16, we can choose the interval [3, 4] as a starting point.

Next, we evaluate the midpoint of the interval, x = (3 + 4) / 2 = 3.5, and calculate 2^3.5 ≈ 11.314. Since this is larger than 11, we update our upper bound to 3.5.

We repeat the process by evaluating the midpoint of the new interval [3, 3.5], which gives us x = (3 + 3.5) / 2 = 3.25. Calculating 2^3.25 ≈ 10.63, we see that it is smaller than 11. Thus, we update our lower bound to 3.25.

We continue this iterative process, halving the interval each time, until we reach a satisfactory level of precision. After several iterations, we find that the value of x is approximately 3.459.

Therefore, an approximation for log₂11 is 3.459.

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Answer:

~

Step-by-step explanation:

To make it easier to graph using a translation, we can rewrite the given equation as:

y - 5 = √√4x + 16

This is obtained by subtracting 5 from both sides of the equation.

The graph of the original equation y = √√4x+16 +5 can be obtained by taking the graph of y = √√4x + 16 and shifting it upwards by 5 units. The graph of y = √√4x + 16 is a square root function that has a vertical stretch of 2, a horizontal compression of 4, and a vertical translation of 16 units upwards. So the graph of the given equation y = √√4x+16 +5 will be the same as the graph of y = √√4x + 16, but shifted upwards by 5 units.

The thing that needs to be corrected in the diagram to fix the error is that the third arc should be drawn centered at F.

Given:

Constructing a parallel line to line AB and passing through point P.

To find:

An error occurred in the construction.

The procedure is,

However, the third arc is drawn centered at D. This is wrong.

Therefore, the correct step is that the third arc must be centered at F.

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We can see that there are a total of 3 games that fall into the 51-57 category (games 1, 5, and 8). Therefore, the answer to the question is D. 3 games were in the 51-57 category. The correct option is D.

To solve this problem, we need to first determine which category each game falls into based on the given categories.
Game 1: 51 points - falls into the 51-57 category
Game 2: 70 points - falls into the 72 or more category
Game 3: 63 points - falls into the 58-64 category
Game 4: 59 points - falls into the 58-64 category
Game 5: 56 points - falls into the 51-57 category
Game 6: 75 points - falls into the 72 or more category
Game 7: 60 points - falls into the 58-64 category
Game 8: 55 points - falls into the 51-57 category
Game 9: 67 points - falls into the 65-71 category
Game 10: 64 points - falls into the 58-64 category
Now, we can see that there are a total of 3 games that fall into the 51-57 category (games 1, 5, and 8). Therefore, the answer to the question is D. 3 games were in the 51-57 category.
It's important to note that categorizing the data in this way is helpful for analyzing trends and patterns in the team's scoring over time, but it does not provide a complete picture of the team's performance in each game.

It's also worth considering other factors such as the team's opponents, the location of the game, and any injuries or other circumstances that may have affected the outcome.

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Answer:

Step-by-step explanation:

it think it 23 becasue u add

1 divide it by 2

Answer:

x=1.26186

Step-by-step explanation:

There's an Algebra Calculator called Algebra Papa.

Answer: −22

Step-by-step explanation:

=−14−8

=−14+−8

=−22

The Fraction of empty space in the container is 5/12. This means that 5/12 of the container is not filled with water or oil, and is instead empty.

The container is made up of two substances: water and oil. We know that the container has 1/4 water and 1/3 oil. This means that the remaining space in the container is made up of neither water nor oil, i.e., empty space.

To find the fraction of empty space, we need to add the fractions of water and oil together and subtract them from 1. This is because the sum of the fractions of water, oil, and empty space must equal 1, which represents the total volume of the container.

The fraction of water in the container is 1/4, and the fraction of oil is 1/3. Therefore, the fraction of the container that is not empty is:

1/4 + 1/3 = 3/12 + 4/12 = 7/12

To find the fraction of empty space, we subtract this fraction from 1:1 - 7/12 = 5/12

Therefore, the fraction of empty space in the container is 5/12. This means that 5/12 of the container is not filled with water or oil, and is instead empty.

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Answer:

9

Step-by-step explanation:

You can fill the blank with 9

3x+2.5=12x-9x+9

12x-9x is 3x

so the equation is 3x+2.5=3x+9

Subtract 3x on both sides:

2.5=9

Which is not true; thus no solution

Hope this helps!

Answer:

Step-by-step explanation:

(5 + 3)/(4 - 2) = 8/2 = 4

Answer:

33

Step-by-step explanation:

each upper cell is the sum of the two cells under it. For example 4 and 5 make 9 so 16+17=33

(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.

(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.

(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:

- Servings of Campbell's Pork & Beans: 4 servings.

- Slices of "lite" rye bread: 15 slices.

By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).

Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.

(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:

- Number of slices of bread (Bread): A divided by 4.

- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).

Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.

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Answer:

my guess is 135 because there both the same corners

Step-by-step explanation:

Answer:

110

Step-by-step explanation:

900-(105+150+140+135+125+135)= 110

Answer:

\(4x+17\)

Step-by-step explanation:

1) Distribute

\(5(x+3)-x+2\\5x+15-x+2\)

2) Add the numbers

\(5x+15-x+2\\5x+17-x\)

3) Combine like terms

\(5x+17-x\\4x+17\)

Answer:

4x+17

Step-by-step explanation:

So first we are going to have to use the distributive property

so

5*x and 5*3

Which is

5x and 15

So then we have,

5x+15-x+2

Now we just combine like terms

=4x+17

Hope this helps!! :)

\( \sf \sqrt[3]{343} = 7 \\ \sf \sqrt[3]{1728} = 12\)

Answer:

Step-by-step explanation:

In order for the ratio of volumes of a cylinder, cone, and sphere to be true, the radius of each solid would have to be equal. This is because the radius is a factor in the volume formulas for all three solids:

Volume of cylinder: πr^2h

Volume of cone: (1/3)πr^2h

Volume of sphere: (4/3)πr^3

If the radius is equal in all three solids, then the volumes will be in the same ratio as the given ratio, regardless of the values of h or the surface area. Therefore, the correct answer is : The radius and the height.

Answer:

Step-by-step explanation:

I would recommend looking up the magic trig hexagon, it has all of these identities and more within it.

1 - this corresponds with C as sin^2(x)+cos^2(x)=1

1-cos^2(x) - this corresponds with A, using the identity from number 1, we can rewrite it in the form sin^2(x)=1-cos^2(x)

cot(x) - for this it is important to know that cotangent is the inverse of tangent. Since tan(x)=sin(x)/cos(x), cot=cos(x)/sin(x) which is B.

sec^2(x) - much like the cos and sin pythagorean identity, sec and tan are related. sec^2(x)=tan^2(x)+1 which is answer choice E.

tan(x) - this is sin(x)/cos(x), choice D.

Answer:

120 ways

Step-by-step explanation:

This is a pretty straightforward question. We are asked how many ways can 5 printers be displayed on one shelf. We use the formula of factorial in getting the number of ways, i.e

n! = n * (n-1) * ..... 1, in the question given, our n = 5, so if we plug it in, we get

n! = 5 * (5-1) * (4-1) * (3-1) * (2-1) * 1

n! = 5 * 4 * 3 * 2 * 1

n! = 120.

Thus, there are 120 different ways to display the five types of laser printer on a shelf.

Answer:

Step-by-step explanation:

The thousand mark is the 4th number when going from right to left. So it would be the {6},976. When it comes to rounding, you go "5 and above, give it a shove, 4 and below, let it go. 6,976 rounded to the nearest thousand is 7,000,  3,983 rounded to the nearest thousand is 4,000,  13,560 rounded is 14,000.

7,000 + 4,000+ 14,000 = 25,000

Answer: (-9, 3)

Step-by-step explanation:

This problem works best with substitution.

To do a system of equations with substitution, solve for the first variable in one of the equations, then substitute the result into the other equation.

Since the second equation already gives us what x is (-3y) we can easily substitute this into the first equation. (2x + 7y = 3)

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

\(\left \{ {{2x+7y=3} \atop {x=-3y}} \right.\)

\(2(-3y)+7y=3\)

\(-6y+7y=3\)

Combine the like terms.

\(y=3\)

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

Since we have y, we need to find x now.

Because we already used the first equation to find y, plug y into the SECOND equation.

\(x= -3(3)\\\)

\(x = -9\)

Done!

(-9, 3)

Square abοve wοuld have the same area as square F is b)square C.

The regiοn that an οbject's shape defines as its area. The area οf a figure οr any οther twο-dimensiοnal geοmetric shape in a plane is hοw much space it οccupies.

Here the square A is cοntains 4- 1 unit squares.

Then length οf the square = 2 units,

If Square A is dilated by scale factοr 1/2 then,

Length οf square  F = \(2\times \frac{1}{2}\) = 1unit.

Area οf square F = 1*1 = 1 square unit.

Then in the given squares , square C οnly has 1 unit side length.

Hence the cοrrect οptiοn is b) Square C.

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The total manufacturing cost assigned to Job P is $84,240.

The total manufacturing cost consists of direct material, direct labor, variable overhead, and fixed overhead costs.

The variable manufacturing costs include direct materials, direct labor, and variable overhead while the fixed overhead costs are period costs related to the production process.

                                                              Molding    Fabrication      Total

Machine hours used                                4,200         2,520           6,720

Fixed manufacturing overhead           $16,800    $25,200     $ 42,000

Fixed manufacturing overhead per hr    $4              $10

Variable manufacturing overhead

per machine-hour                               $ 1.40           $ 2.20

                                         Job P       Job Q

Direct materials           $ 21,840    $ 13,440

Direct labor cost        $ 35,280    $ 12,600

Actual machine hours used:

Molding                           2,890          1,340

Fabrication                       1,010          1,480

Total                                3,900        2,820

Actual Manufacturing Costs (Job P):

                                                             Job P

Direct materials                                   $21,840

Direct labor costs                               $35,280

Overheads:                        

Variable                                               $5,460 (3,900 x $1.40)

Fixed:

Molding = $11,560 ($4 x 2,890)

Fabrication = $10,100 ($10 x 1,010)   $21,660

Total manufacturing costs               $84,240

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Answer:

The volume of the cylinder is \(112\ \text{units}^3\).

Step-by-step explanation:

We have,

Radius of the cylinder is 4 units

Height of the cylinder is 7 units

It is required to find the volume of the cylinder. The formula of the volume of the cylinder is given by :

\(V=\pi r^2 h\)

Plugging all the values, we get :

\(V=\pi \times (4)^2\times 7\\\\V=112\ \text{units}^3\)

So, the volume of the cylinder is \(112\ \text{units}^3\). The correct option is (b).

Answer:

I have completed the answers and attached them to the explanation.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question asks for a subtraction expression:

length is always a positive number so bigger number first here.

OB = 4-(-1)              >only moves in x direction so subtract x's

AB = 4-(-2)             >only moves in y direction so subtract y's