y > 2x – 5
Can you put this in a graph

Answer:

Probability ≈ 0.0714

Step-by-step explanation:

Consider permutation and combination;

\(Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714\)

In rectangle , The width is 8 and the length is 37.

What is a rectangle ?

A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral.

                              The term "parallelogram" can also be used to describe a rectangle because the opposing sides are equal and parallel.

90 = 2(x + 5 + 4x)

90 = 2(5x + 5)

90 = 10x + 10

80 = 10x

x = 8

So the width is 8 and the length is 37.

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The complete question is -

The length of a rectangle is five inches more than four times it’s width. If the perimeter is 90 inches, find its dimensions

To find the mass of the water in the tank, we need to multiply the volume of the tank by the density of water. The volume of the tank can be found by multiplying its height, length, and width. we can use the formula:

Mass = Density * Volume

First, let's calculate the volume of the tank. The tank has dimensions of 2.4 m (height), 6 m (length), and 1.5 m (width).

Volume = height * length * width
             = 2.4 m * 6 m * 1.5 m
             = 21.6 cubic meters

Now, let's substitute the density of water and the volume into the formula to find the mass:

Mass of water = Volume of the tank * Density of water

Mass = 1,000 kg/m³ * 21.6 m³
         = 21,600 kg

Therefore, the mass of the water in the tank is 21,600 kg.

The correct answer is D. 21,600 kg.

In summary, the mass of the water in the tank is determined by the volume of the tank and the density of water. By multiplying the volume by the density, we can find the mass. In this case, the mass is 21,600 kg.

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Answer: \(412000000\ cm^3\)

Step-by-step explanation:

Given

Number is \(412\ m^3\)

we know

\(1\ m=100\ cm\\\\\therefore 1\ m^3=1000000\ cm^3\)

For \(412\ m^3\) it is

\(\Rightarrow 412\ m^3=412\times 1000000=412000000\ cm^3\)

Answer:

There were 12 problems.

Step-by-step explanation:

75/100=9/x

75x=900

x=12

\( {a}^{2} + {b}^{2} = {c}^{2} \)

\( {c}^{2} - {b}^{2} = {a}^{2} \)

\( {8}^{2} - {6}^{2} = {28}^{2} \)

\( \sqrt{28} \)

Answer:

\(\boxed{\sf{a=\sqrt{28} }}\)

Pythagorean theorems can be applied to solve this problem.

Pythagorean theorem:

\(\rightarrow \sf{a^2+b^2=c^2}\)

⇒ c²-b²=a²

8²-6²=28²

Solve.

PEMDAS stands for:

\(\sf{8^2-6^2}\)

Solve by exponents from left to right numbers.

\(\sf{8^2=8*8=64}\)

\(\sf{6^2=36}\)

Then, subtract.

\(\sf{64-36=\boxed{\sf{28}}\)

a=√28

Therefore, the correct answer is a=√28.

I hope this helps you! Let me know if my answer is wrong or not.

It will take 22 years and 3 months to get the present value of $12,000 invested at 2.3% compounded monthly to get to $20,000 (future value).

The period that it will take the present value to reach a certain future value can be determined using an online finance calculator with the following parameters for periodic compounding.

I/Y (Interest per year) = 2.3%

PV (Present Value) = $12,000

PMT (Periodic Payment) = $0

FV (Future Value) = $20,000

Results:

N = 266.773

266.73 months = 22 years and 3 months (266.73 ÷ 12)

Total Interest = $8,000.00

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Answer:

Step-by-step explanation:

P = 2( L + W)

To solve for L first divide both sides by 2

That's

\( \frac{P}{2} = L + W\)

Move W to the other side of the equation to make L stand alone

We have the final answer as

\(L = \frac{P}{2} - W \\ \)

Hope this helps you

Answer:

25% of 64 is 16 and for b it is 34.

Step-by-step explanation:

Answer:

The narrator checks the old man at every night at midnight

Step-by-step explanation:

The solution to the equation is x = 7

What is equation ?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used.

2(x-4)³ = 54

(x-4)³ = 54/2

(x-4)³ = 27

x-4 = ∛27

x - 4 = 3

x = 7

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Answer:

yeah, that's right!!!!

To find the derivatives of the given expressions, we can apply the chain rule, which states that the derivative of a composition of functions is equal to the derivative of the outer function multiplied by the derivative of the inner function.

(a) To find the derivative of f(g(x)), we start by differentiating the outer function f with respect to the inner function g(x), and then multiply it by the derivative of the inner function g(x) with respect to x.

df/dx = df/dg * dg/dx

df/dx = cos(g(x)) * (2x)

(b) To find the derivative of g(f(x)), we differentiate the outer function g with respect to the inner function f(x), and then multiply it by the derivative of the inner function f(x) with respect to x.

dg/dx = dg/df * df/dx

dg/dx = 2f(x) * cos(x)

Hence, the derivatives are:

(a) d/dx(f(g(x))) = cos(g(x)) * (2x)

(b) d/dx(g(f(x))) = 2f(x) * cos(x)

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The total surface area of the trapezoidal prism is S = 3,296 inches²

Given data ,

Let the total surface area of the trapezoidal prism is S

Now , the measures of the sides of the prism are

Side a = 10 inches

Side b = 32 inches

Side c = 10 inches

Side d = 20 inches

Length l = 40 inches

Height h = 8 inches

Lateral area of prism L = l ( a + b + c + d )

L = 40 ( 10 + 32 + 10 + 20 )

L = 2,880 inches²

Surface area S = h ( b + d ) + L

On simplifying the equation , we get

S = 2,880 inches² + 8 ( 52 )

S = 3,296 inches²

Hence , the surface area of prism is S = 3,296 inches²

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The coefficient of x7 in the expansion of (3x + 4)10 is 53,248,000.

To find the coefficient of x^7 in the expansion of (3x + 4)^10 using the binomial theorem, we need to identify the term that has x^7.

The binomial theorem states that (a + b)^n = Σ (nCk) * a^(n-k) * b^k, where k goes from 0 to n and nCk denotes the binomial coefficient, which is the combination of choosing k items from n.

In our case, a = 3x, b = 4, and n = 10. We need to find the term with x^7, so the power of a (3x) should be 3 (since 3x raised to the power of 3 is x^7). This means the term will have the form:

10C3 * (3x)^3 * 4^(10-3)

Now we calculate the coefficients:

10C3 = 10! / (3! * (10 - 3)!) = 120
(3x)^3 = 27x^{7}
4^7 = 16384

Now, we multiply the coefficients together:

120 * 27 * 16384 = 53,248,000

Therefore, the coefficient of x^7 in the expansion of (3x + 4)^10 is 53,248,000.

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Answer:

no.

Step-by-step explanation:

38.50 divided by 7 = 5.5

30 divided by 6= 5

your sibling gets more than you.

5. The solution to the differential equation (ex + y)dx + (2 + x + yey)dy = 0 with y(0) = 1 is y = 2e^(-x) – x – 1. 6. The solution to the differential equation (x + y)²dx + (2xy + x² – 1)dy = 0 with y(1) = 1 is y = x – 1.

5. To solve the differential equation (ex + y)dx + (2 + x + yey)dy = 0 with the initial condition y(0) = 1, we can use the method of exact differential equations. By identifying the integrating factor as e^(∫dy/(2+yey)), we can rewrite the equation as an exact differential. Solving the resulting equation yields the solution y = 2e^(-x) – x – 1.
To solve the differential equation (x + y)²dx + (2xy + x² – 1)dy = 0 with the initial condition y(1) = 1, we can use the method of separable variables. Rearranging the equation and integrating both sides with respect to x and y, we obtain the solution y = x – 1.
These solutions satisfy their respective initial conditions and represent the family of curves that satisfy the given differential equations.

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The number of adults and children at the concert went was 61 and 44 respectively.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

Let's suppose the number of adults who went to the concert was A while for children is C

Total people = adult + children

A + C = 105

Cost of adult = 3A

Cost of children = 3C

Total ticket = Cost of adult + Cost of children

3A + 3C = 271

By substitution,

A = 61 and C = 44

Hence "The number of adults and children at the concert went was 61 and 44 respectively".

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Answer:

10cm^2

Step-by-step explanation:

The parallel sides of a parallelogram is 2cm apart

Their sum is 10cm

Therefore the area can be calculated as follows

= 2 ×10/2

= 20/2

= 10 cm^2

Hence the area is 10cm^2

Step-by-step explanation:

Please refer to the attachment

Answer:

78

Step-by-step explanation:

The median in a stem-and-leaf diagram is the number that is repeated the most. In this case, the number 78 is repeated 4 times (7 | 8 8 8 8). No other number in the diagram is repeated as much or more than the number 78.

Do not make the mistake of writing the answer as 8 instead of 78.You also want to make sure you don't accidently count 68 which is repeated twice (by looking at the 8's at the end and thinking it's part of the all/rest of the 8's in the diagram).

Hope this helps :)

Based on this graph which shows the revenue, cost, and profit functions of a company, the way in which this company can become profitable is: C. by reducing its costs.

In Mathematics, a profit can be defined as a measure of the amount of money that is generated when the cost price is deducted from the selling price (revenue) of a good or service, which is usually provided by producers.

Mathematically, the profit made by an entrepreneur or business organization can be calculated by using this mathematical expression:

Profit = Revenue - Cost

In this scenario, the most effective and efficient way in which this company can become profitable is simply by reducing (lowering) its costs because it is incurring more cost than the amount of revenue it generates.

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The trees must be between 16 and 26 years old

16  <  x   ≤ 26

Height at which the trees are planted = 6 cm

Yearly growth of trees = 9cm

The tree can only flower when they are taller than 150 cm

The tree to be selected should not be more than 240 cm so that they can flower

Let the age of the tree be represented by x

The equation that represents this illustration is:

150 < 6   +   9x   ≤   240

150 - 6 <  6 + 9x - 6   ≤  240  -  6

144  <  9x  ≤ 234

Divide through by 9

144/9  <  x    ≤  234/9

16  <  x   ≤ 26

For the flower to blossom, it must be older than 16 years and not more than 26 years old

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Answer:

5, 25, and 0

Step-by-step explanation:

See attachment

15/50 = 0.3, or 30%.

Answer:

0.3, or 30%

Step-by-step explanation:

Answer:

5.48

Step-by-step explanation:

Answer:

5.48

Step-by-step explanation:

Scenario 1A:

Coinsurance amount is $90

Medicare payment is $360

Provider write-off is $290

Scenario 1B:

Remaining amount for Insurance and patient to pay is $350

Coinsurance amount is $70

Total paid by patient is $170

Medicare payment is $280

Provider write-off is $370

Scenario 1A:

Submitted charge: $650

Medicare participating physician fee schedule (PFS): $450

Coinsurance amount (20% paid by patient): $

Medicare payment (80% of the PFS): $

Provider write-off: $

To calculate the missing amounts, we can use the provided information:

Coinsurance amount (20% paid by patient):

Coinsurance amount = 20% of the Medicare participating physician fee schedule (PFS)

Coinsurance amount = 0.2 * $450 = $90

Medicare payment (80% of the PFS):

Medicare payment = 80% of the Medicare participating physician fee schedule (PFS)

Medicare payment = 0.8 * $450 = $360

Provider write-off:

Provider write-off = Submitted charge - Medicare payment

Provider write-off = $650 - $360 = $290

Scenario 1B:

Submitted charge: $650

Medicare participating physician fee schedule (PFS): $450

Patient pays $100 remaining on their deductible

Remaining amount for Insurance and patient to pay: $

Coinsurance amount (20% of remaining amount): $

Total paid by patient (deductible & 20% of remaining): $

Medicare payment (80% of the remaining amount): $

Provider write-off: $

To calculate the missing amounts, we can use the provided information:

Remaining amount for Insurance and patient to pay:

Remaining amount for Insurance and patient to pay = PFS - remaining deductible

Remaining amount for Insurance and patient to pay = $450 - $100 = $350

Coinsurance amount (20% of remaining amount):

Coinsurance amount = 20% of the remaining amount

Coinsurance amount = 0.2 * $350 = $70

Total paid by patient (deductible & 20% of remaining):

Total paid by patient = remaining deductible + coinsurance amount

Total paid by patient = $100 + $70 = $170

Medicare payment (80% of the remaining amount):

Medicare payment = 80% of the remaining amount

Medicare payment = 0.8 * $350 = $280

Provider write-off:

Provider write-off = Submitted charge - Medicare payment

Provider write-off = $650 - $280 = $370

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Answer:

Step-by-step explanation:

The vertex is (d, e)

for quadratic function: f(x) = ax² + bx + c  we have:

d = -b/a    and    d = (x₁ + x₂)/2  

a = 1,   b = k,   x₁ = -4,    x₂=-2      

so:

d = -b/a = -k/1 = -k   and   d = (x₁ + x₂)/2 = (-4-2)/2 = -3

-k = -3

k = 3

The location is between values of 1 1/2 and 9.

The values being absolute it means that they have no sign, i.e. they can be either positive or negative.

Since the values are both positive, you have to draw a positive number line.

The purple line indicates the possible locations over the number line.

Answer:

(-6,9)

Step-by-step explanation:

We can use the midpoint formula to find the coordinates of C. The midpoint formula states that the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is:

((x1 + x2)/2, (y1 + y2)/2)

In this case, we know that the midpoint of CD is M(-1, 7) and one endpoint of CD is D(4, 5). Let C = (x, y) be the coordinates of the other endpoint of CD. Then we can use the midpoint formula to set up two equations:

(x + 4)/2 = -1

(y + 5)/2 = 7

Solving for x and y, we get:

x + 4 = -2

y + 5 = 14

x = -6

y = 9

Therefore, the coordinates of C are (-6, 9).