(2u+3)(2u+5) help
and please show step by step​

Answer:

The Milky Way is about 1,000,000,000,000,000,000 km

Step-by-step explanation:

about 100,000 light years or about 30 kpc) across.

Services provided by public service companies are also known as utilities.

What are public utilities, housing expenses, cost of living and bills?

The term "public utilities" describes a group of particular services offered by entities and organisations that are both public and private and make up the public services sector.

The sum of a homeowner's monthly mortgage principal and interest payments and any additional costs related to their home constitutes their total housing expense.

The cost of living is the sum of money required in a certain location and time frame to meet necessities including housing, food, taxes, and medical care.

A declaration of money owed for products or services provided is referred to as a bill.

Based on the above definition,

Hence, services provided by public service companies are also known as utilities.

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Answer:

Time is 4 years

Step-by-step explanation:

P=10000

A=15000

R=12.5%

SI=A-P

=15000-10000

SI=5000

T=?

We know,

T=SI*100/P*R

=5000*100/10000*12.5

=500,000/125,000

T=4years

Answer:

-8.66666666666666666666666666666666666

-9

Step-by-step explanation:

Answer:

Interest = $63

Balance = $2,063

Step-by-step explanation:

Compound Interest Formula

\(\boxed{\sf I=P\left(1+\frac{r}{n}\right)^{nt} -P}\)

where:

Given:

Substitute the given values into the formula and solve for I:

\(\implies \sf I=9000\left(1+\dfrac{0.014}{2}\right)^{2 \times 0.5}-9000\)

\(\implies \sf I=9000\left(1+0.007\right)^{1}-9000\)

\(\implies \sf I=9000\left(1.007\right)-9000\)

\(\implies \sf I=9063-9000\)

\(\implies \sf I=63\)

Therefore, the account earns $63 interest in the first six months.

The balance after six months is $2,063.

The dimensions of the room are approximately 7 meters by 10.5 meters.

In Mathematics, dimensions are referred to as measures of size such as length, width, and height of an object or a shape. A rectangle has length and width as its dimensions that define the area of a rectangle.

Let's start by using algebra to represent the information given in the problem. Let x be the width of the rectangular room, then the length is 1.5 times the width or 1.5x.

The perimeter of a rectangle is the sum of the lengths of all its sides, which can be expressed as:

\(\text{Perimeter} = 2(\text{length} + \text{width})\)

Substituting the values we have for length and width, we get:

\(\rightarrow35 = 2(1.5\text{x} + \text{x})\)

Simplifying the equation, we get:

\(\rightarrow35 = 2(2.5\text{x})\)

\(\rightarrow35 = 5\text{x}\)

\(\rightarrow\text{x}=\dfrac{35}{5}\)

\(\rightarrow\bold{x\thickapprox7}\)

So the width of the room is 7 meters.

To find the length, we can substitute x into the expression we have for the length:

\(\rightarrow\text{Length} = 1.5\text{x}\)

\(\rightarrow\text{Length} = 1.5(7)\)

\(\rightarrow\bold{Length=10.5}\)

So the length of the room is 10.5 meters.

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Answer:

The correct answers and the second and third equation.

Step-by-step explanation:

You don't need one, it's simple algebra. If you want one, do the problem yourself.

The equations 8⋅7 ÷ 2−12=22−2⋅3 and 48 ÷ 8 + 2³ = 5 + 3² are true equations. which are the correct answer would be options (B) and (C).

PEMDAS rule states that the order of operation starts with the calculation enclosed in brackets or the parentheses first. Exponents (degrees or square roots) are then operated on, followed by multiplication and division operations, and then addition and subtraction.

We have to apply the PEMDAS rule to the equations in the option

As per the PEMDAS rule, the solution would be:

A. 9² − 7² = 20÷(7−2)

81 - 49 = 20 ÷ 5

32 = 4

This is not true.

B. 8⋅7 ÷ 2−12=22−2⋅3

56 ÷ 2−12 = 22 - 6

28 - 12 = 16

16 = 16

This is true.

C. 48 ÷ 8 + 2³ = 5 + 3²

6 + 2³ = 5 + 9

6 + 8 = 14

14 = 14

This is true.

D. 150÷5²= 30−4²−12

150÷25 = 30−16−12

6 = 30 - 28

6 = 2

This is not true.

Therefore, the equations 8⋅7 ÷ 2−12=22−2⋅3 and 48 ÷ 8 + 2³ = 5 + 3² are true equations.

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The question seems to be incomplete the correct question would be

Which equations are true equations? Select all correct answers.

A. 9² − 7² = 20÷(7−2)

B. 8⋅7 ÷ 2−12=22−2⋅3

C. 48 ÷ 8 + 2³ = 5 + 3²

D. 150÷5²= 30−4²−12

Answer:

184, 185, 186

Step-by-step explanation:

If the first number is x, the other numbers are x + 1 and x + 2, therefore we can write:

x + x + 1 + x + 2 = 555

3x + 3 = 555

3x = 552

x = 184 so the other numbers are 185 and 186.

The equation (x - 5)² = -7 has the same solution as x² - 10x - 14 = 4. Option D

By solating the quadratic term on one side:

x² - 10x - 14 - 4 = 0

Simplifying the equation:

x² - 10x - 18 = 0

Now, let's compare this equation to the given options:

A. (x - 5)² = 43

B. (x + 5)² = -7

C. (x + 5)² = 43

D. (x - 5)² = -7

By comparing the given equation x² - 10x - 18 = 0 to the options, we can see that option D. (x - 5)² = -7 has the same solution.

Therefore, the equation (x - 5)² = -7 has the same solution as x² - 10x - 14 = 4.

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Answer:

D

Step-by-step explanation:

It subtracts.

The value of x is -3 and y is 7 for equilateral triangle having x+1, 2x+4 and 3x+y sides.

We can use the fact that an equilateral triangle has equal lengths on each of its three sides to determine the values of x and y.

Given:

First side=x+y

second side= 2x+4

third side=3x+y

An equilateral triangle has three equal sides, hence the following equations can be constructed:

x + 1 = 2x + 4

2x + 4 = 3x + y

Let's tackle each of these equations separately:

x + 1 = 2x + 4

We will subtract x from both sides and subtract 4 from both sides in order to solve this equation:

x + 1 - x = 2x + 4 - x

1 = x + 4

By taking 4 away from both sides, we arrive at:

1 - 4 = x + 4 - 4 , -3 = x

Therefore, x has been determined to be -3.

Now, substitute the value of x in the second equation:

2x + 4 = 3x + y

2(-3) + 4 = 3(-3) + y

-6 + 4 = -9 + y

-2 = -9 + y

y = -2 + 9

y = 7

So, we determined that y has a value of 7.

As a result, the values of x and y are, respectively, x=-3 and y=7

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Answer:

Step-by-step explanation:

In an equilateral triangle all sides are equal.

So each of these sides (and their equations are equal to each other.)

To find x - set the first two (as they only involve x) equal to each other and solve.

x + 1 = 2x + 4

x -x + 1 = 2x - x + 4

1 = x + 4

1- 4 = x + 4 - 4

-3 = x

Then substitute -3 for x in the last equation to find y, also setting it equal to one of the other equations.

3(x) + y = x + 1

3(-3) + y = -3 + 1

-9 + y = -2

-9 + 9 + y = -2 + 9

y = 7

so x = -3 and y equal 7

The exact value of the tan(75°), found using trigonometric identities for the tangent of the sum of two angles, indicates that the exact value of tan(75°) is (1+√3/3)/(1 - √3/3))

Trigonometric identities are equalities of expressions that includes trigonometric functions which are valid for all values of the argument, or the domain of the function.

The exact value of tan(75°) can be found from the formula for the tangent of the sum of two angles as follows;

tan(A + B) = (tan(A) + tan(B))/(1 - tan(A)•tan(B))

tan(75°) = tan(45° + 30°)

tan(45° + 30°) = (tan(45°) + tan(30°))/(1 - tan(45°)•tan(30°))

tan(30°) = √3/3

tan(45°) = 1

tan(45° + 30°) = (1 + √3/3)/(1 - √3/3)

tan(75°) = (1 + √3/3)/(1 - √3/3)

The correct option is therefore option B

\(tan(75 ^{ \circ } ) = \dfrac{1 + \frac{ \sqrt{3} }{3} }{1 - \frac{ \sqrt{3} }{3} } \)

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Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

(a) 6

(b) 9

The units of a whole number is the rightmost digit in the number. For example, if the number is 15678, the units is 8 since that is the rightmost digit. Another example is 25795. The units is 5.

(a) To find the units of the square of -2346,

i. First find the square of (-2346)

(-2346)² = (-2346) x (-2346) = 5503716

ii. Now find the rightmost digit.

The rightmost digit of 5503716 is 6.

Therefore, the units of the square of (-2346) is 6

(b) To find the units of the square of -5677,

i. First find the square of (-5677)

(-5677)² = (-5677) x (-5677) = 32228329

ii. Now find the rightmost digit.

The rightmost digit of 32228329 is 9.

Therefore, the units of the square of (-5677) is 9

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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Answer:

√38

Step-by-step explanation:

√38

step 1: Check which squared numbers can be multiplied by another number to get 38.

Start with these numbers: 4, 9, 16, and 25

Step 2: Testing out the numbers

√25 × __ = 25 can't be divided by 38

√16 × ___ = 16 can't be divided by 38

√9 × ____ = 9 can't be divided by 38

√4 × ____= 4 can't be divided by 38

Step 3: Answer

After trying the square root numbers that could possibly work with √38 none work; which means √38 can't be simplified. So the answer is √38

I hope this helps!

Answer:

It's 48.

Hope that helped? Also, if you need anymore answers feel free to ask me as I had that assignment on Mathswatch.

Step-by-step explanation:

Answer:

i think it's 48 if i'm wrong i'm sorry

The equation of the parabola is\((y + 6)^2 = 4(x - 13)\), where the vertex is (13, -6) and the distance between the directrix and focus is 14.

To determine the equation of the parabola, we need to use the standard form for a parabola with a horizontal axis:

\((x - h)^2 = 4p(y - k)\)

Where (h, k) represents the vertex of the parabola, and p is the distance from the vertex to the focus (and also from the vertex to the directrix).

Given that the parabola opens to the right, the vertex will be on the left side. Let's assume the vertex is (h, k).

We know that the focus of the parabola is at (13, -6), so the distance from the vertex to the focus is p = 13 - h.

We are also given that the focal diameter is 28, which means the distance between the directrix and the focus is twice the distance from the vertex to the focus.

Therefore, the distance from the vertex to the directrix is d = 28/2 = 14.

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Answer:

n > 1

Step-by-step explanation:

To solve this inequality, we need to get the variable "n" alone. Follow PEMDAS to do so :

Parenthesis

Exponent

Multiplication

Division

Addition

Subtraction

We can first distribute the -8 to -4 and n to get rid of the parenthesis.

((-8)-4 + (-8)n)

-32 + -8n < -40

Now add 32 to both sides.

-40 + 32 = -8

-8n < -8

Now divide -8 by both sides, don't forget to switch the inequality sign since you're dividing by a negative number.

n > 1

Answer:

6.1 in

Step-by-step explanation:

√37=6.08276

6.1 in

The side of the square poster will be 6.1 in.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the square in a two-dimensional plane is called the area of the square. For the square, all the sides are equal to each other.

Given that the area of a square poster is 37 square inches the value of one side will be calculated by using the area formula:-

Area of square = Side²

Side²= √37

Side² = 6.08276

Therefore, the side of the square poster will be 6.1 in.

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Given data:

The given coordinates are A (-5, 5), B (-5, 3), C (-5, 1), and D (2, 1).

The below figure shown the graph of the above coordinate.

Thus, the above figure represents the right angle triangle.

Answer:

108 is the answer I think

Answer:

108 ounces

Step-by-step explanation:

6 pounds= 96 ounces

96+12= 108

It is said that the rural landscape has been replaced by the urban landscape because rural landscapes have been transformed into urban ones.

We have to:

At present, more and more rural spaces become urban, which is why it is indicated that the urban landscape is replacing the rural one.

¡Hope this helped!

It will take 150 minutes for the two containers to have the same amount of water.

To find the number of minutes it will take for the two containers to have the same amount of water, we need to use the following formula:

m = |A - B| / (a - b)

where m is the number of minutes, A is the initial amount of water in Container A, B is the initial amount of water in Container B, a is the rate at which water is being added to Container A, and b is the rate at which water is being drained from Container B.

In this case, the initial amount of water in Container A is 300 liters, the initial amount of water in Container B is 900 liters, the rate at which water is being added to Container A is 6 liters per minute, and the rate at which water is being drained from Container B is 2 liters per minute. Substituting these values into the formula, we get:

m = |300 - 900| / (6 - 2)

m = |-600| / 4

m = 600 / 4

m = 150 minutes

Therefore, it will take 150 minutes for the two containers to have the same amount of water.

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The woman will withdraw $300 given 6%   interest rate annually.

We can use the formula for simple interest to solve this problem:

I = Prt

where I is the interest earned, P is the principal (initial deposit), r is the annual interest rate as a decimal, and t is the time in years. Since the interest rate is given as an annual rate, we need to convert it to a daily rate by dividing by 365:

r = 0.06/365 = 0.00016438356

The time in years is 120/365 = 0.3287671233 years. Now we can plug in the values and solve for I:

I = 300 * 0.00016438356 * 0.3287671233 = 0.01699999999

The interest earned is $0.017, which is negligible. Therefore, the woman will withdraw the entire principal plus any interest earned, which is:

300 + 0.017 = $300.02

Rounding to the nearest dollar, the woman will withdraw $300.

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Answer:

59/1

Step-by-step explanation:

Answer:

Step-by-step explanation:

10 divided by 2.77 is

3.61010830325.

rounded up is 4 pounds?

Answer:

3

Step-by-step explanation:

If you divide 10 divided by 2.77 you get 3.610108303 but you don't need all the decimals so instead you will just get rid of the decimals in this scenario (not in all) and if you double check yourself by doing 2.77 x 3 you will get 8.31 and thats all you can do because 2.77 x 4 is 11.08 but you have a budget of $10.00 so your answer is:

You can get 3 pounds of blueberries with $10

Answer:

A and C

Step-by-step explanation:

i chose these bc they arwe the 2 reasonable ones