Solve the following equation for X.
3x- 4 = 11

Answer: Equation (y = 3x + 10)

Each time the number of triangles increase, the 3 also increases. For example: 2 Triangles = 3 + 3 and the 2 of the 5 remains the same no matter how many triangles there are.

Step-by-step explanation:

Let x = Number of triangles

Let y = Perimeter

Plug in formula: y = 3x + 10

y = 3 (2) + 10

y = 6 + 10

y = 16

Answer:

60%

Step-by-step explanation:

A quart is equivalent to 2 pints. So if Lindsay's watering can holds 12 quarts, it can hold 12 * 2 = 24 pints of water. Since she uses 1 pint of water on each flower, she can water a total of 24 flowers.

Lindsay's watering can has a capacity of 12 quarts, which is equivalent to 24 pints. Since she uses 1 pint of water for each flower, we can determine the maximum number of flowers she can water by dividing the total capacity of the watering can (24 pints) by the amount of water used per flower (1 pint).

This calculation yields a result of 24 flowers. Therefore, Lindsay can water up to 24 flowers with the amount of water her can holds.

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Answer:

144

Step-by-step explanation:

Using the process PEMDAS I got 144

8 × (4^2 + 2)

First, you solve inside the parentheses, the exponent is the beginning step.

8 x(16+2)

The next step of this equation is adding, which gives us the sum of 18.

8 x 18

Our last step is multiplication.

144 is our product/answer.

Answer:

A ≈ 194.8 units²

Step-by-step explanation:

the shaded area (A) is calculated as

A = area of outer circle - area of inner circle

   = πr₁² - πr₂² (r₁ is outer radius and r₂ the inner radius )

  = π × 13.5² - π × 4.5²

 = π(13.5² - 4.5²)

 = π(182.25 - 20.25)

 = π × 62

 ≈ 194.8 units² ( to the nearest tenth )

Explanation:

(i)Total number of copies are at Pradnya = 5 dozen

We know that 1 dozen = 12

⇛5×12 = 60

Given copies to Anushka = half of 60

⇛60/2 = 30 copies

Given copies to Prajwala = 1/5 the copies

⇛ (1/5)×60

⇛60/5

⇛12 copies

Total number of given copies = 30+12 = 42

Remaining copies = 60-42 = 18

Answer: Remaining copies = 18

(ii)Let the number of Rs. 10 notes be X

So given that

all are equal in number

So, Number of Rs 20 notes = Number of Rs. 50 notes = Number of Rs. 100 = X

Total number of notes

= X+X+X+X = 4X

Value of Rs. 10 = 10X

Value of Rs. 20 = 20X

Value of Rs. 50 = 50X

Value of Rs. 100 = 100X

Total amount = Rs. 900

⇛10X +20X +50X+100X = 900

⇛180X = 900

⇛X = 900/180

⇛X = 5

Number of Rs. 10 notes = Number of Rs. 20 notes = Answer: number of Rs. 50 notes = Number of Rs. 100 = 5

(iii) Let the number of rows be X

Number of saplings per each row = 47

Total number of saplings of X rows = 47X

According to the given problem,

Total number of saplings purchased by Mangalakaku = 6016

⇛47X = 6016

⇛X = 6016/47

⇛X = 128

Answer: Total number of rows = 128

Answer:

period pi and amplitude 5

A= -2,4

B= -2,4

C= 2,7

Answer:y=9

Step-by-step explanation:

y=mx+9

Swap sides so that all variable terms are on the left hand side.

mx+9=y

Subtract 9 from both sides.

mx=y−9

The equation is in standard form.

xm=y−9

Divide both sides by x.

x

xm

​

=

x

y−9

​

Dividing by x undoes the multiplication by x.

m=

x

y−9

​

Solve for x

{

x=

m

y−9

​

,

x∈R,

​

m



=0

y=9 and m=0

​

Answer:

Y=1

Step-by-step explanation:

(3,1)

(x,y)

Y=mx+c

1=m3+c

Answer: A. 9/19

Step-by-step explanation:

20 + 18(amount of cookies) = 38

there are 18 chocolate chip cookies, so it's an 18/38 chance it's a chocolate chip cookie that broke, but 18/38 can be simplified.

18 divided by 2 is 9 and 38 divided by 2 is 19

so 9/19

The net present value (NPV) of the project is -$35,383.

The net present value (NPV) of the putt putt golf course project, we need to determine the present value of its cash flows and subtract the initial investment. Let's break down the calculation step by step.

1. Calculate annual cash flows:

The annual cash flows include sales, variable costs, fixed costs, additional revenue, and depreciation.

Sales: $91,500 per year

Variable costs: $28,400 per year

Fixed costs: $13,000 per year

Additional revenue: $23,300 per year

Depreciation: $187,000 / 6 years = $31,167 per year

To calculate the taxable income, we subtract the depreciation expense from the sum of the sales, variable costs, fixed costs, and additional revenue.

Taxable Income = (Sales - Variable Costs - Fixed Costs - Additional Revenue - Depreciation)

Taxable Income = ($91,500 - $28,400 - $13,000 - $23,300 - $31,167)

2. Calculate taxes paid:

The tax rate is given as 40 percent. Multiply the taxable income by the tax rate to calculate the taxes paid.

Taxes Paid = Taxable Income × Tax Rate

Taxes Paid = (Taxable Income × 0.4)

3. Calculate after-tax cash flows:

After-tax cash flows are calculated by subtracting the taxes paid from the taxable income, and then adding back the depreciation expense.

After-tax Cash Flows = Taxable Income - Taxes Paid + Depreciation

4. Calculate the net cash flows:

Net cash flows are calculated by subtracting the variable costs and fixed costs from the after-tax cash flows.

Net Cash Flows = After-tax Cash Flows - Variable Costs - Fixed Costs

5. Calculate the present value of cash flows:

To calculate the present value, we need to discount the net cash flows using the discount rate of 35 percent.

Present Value = Net Cash Flows / (1 + Discount Rate)^n

Where n represents the year of the cash flow.

6. Calculate the net present value (NPV):

The NPV is calculated by summing the present values of cash flows and subtracting the initial investment.

NPV = Sum of Present Values - Initial Investment

Now, let's calculate the NPV of the project:

Year 0:

Initial Investment = $187,000

Net Working Capital = $23,300

Year 1:

Net Cash Flows = After-tax Cash Flows - Variable Costs - Fixed Costs

Net Cash Flows = (Taxable Income - Taxes Paid + Depreciation) - Variable Costs - Fixed Costs

Net Cash Flows = (($91,500 - $28,400 - $13,000 - $23,300 - $31,167) - (Taxable Income × 0.4) + $31,167) - $28,400 - $13,000

Year 2-6:

Net Cash Flows = After-tax Cash Flows - Variable Costs - Fixed Costs

Net Cash Flows = (Taxable Income - Taxes Paid + Depreciation) - Variable Costs - Fixed Costs

Net Cash Flows = (($91,500 - $28,400 - $13,000 - $23,300 - $31,167) - (Taxable Income × 0.4) + $31,167) - $28,400 - $13,000

Discount Rate = 35 percent

Using the above calculations, you can find the net present value (NPV) of the project by subtracting the initial investment from the sum of the present values of cash flows.

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The numeric value of the expression sec²(54º) - 1, using a trigonometric identity, is given as follows:

tan²(54º) = 1.8944.

Before applying the trigonometric identity, we have to define the secant and the tangent of an angle, as follows:

The identity that exists between the squares of these measures is given as follows:

tan²(x) + 1 = sec²(x).

Hence, isolating the tangent:

tan²(x) = sec²(x) - 1.

In this problem, the expression is given as follows:

sec²(54º) - 1

Applying the identity, the expression is given as follows:

sec²(54º) - 1 = tan²(54º).

Using a calculator, the numeric value of the expression is given as follows:

tan²(54º) = 1.8944.

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If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

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Answer: 666.22 m^3

Step-by-step explanation:

The formula for the volume of a right circular cone is: V = π*r^2*(h/

3)

Therefore, plugging in 14.1 for "r" and 3.2 for "h" yields 666.22

Answer:

x < 7

Step-by-step explanation:

Answer:

yourcredit limit is 2000$

600$                     (600*100)/30=2000$

30%                       100%

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

600/30% makes a decimal so move the point 2 spaces and it is 20

Therefore, both functions have the same axis of symmetry equation, which is x = -3.

In mathematics, a function is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. Functions are one of the central objects of study in mathematics and have many applications in various fields such as physics, economics, engineering, and computer science. A function is typically represented using a mathematical expression or equation, and it can be analyzed and manipulated using a variety of mathematical techniques.

Here,

Both functions have a vertex of (-3,4), which means that the axis of symmetry must be a vertical line passing through x = -3.

For the function p(x) = (x+3)² +4, the axis of symmetry is indeed x = -3.

For the function m(x), since it has a vertex of (-3,4), the equation of the axis of symmetry is x = -3.

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x = 150 sq ft / 400 sq ft/gallon
x = 0.375 gallons

Therefore, Kerrie will need approximately 0.375 gallons of paint to cover the wall design.

To find out how many gallons of paint Kerrie will use, we first need to calculate the area of the wall she plans to paint. We can do this by using the dimensions of the scale model and converting them to actual dimensions using the given scale:

- Let's say the scale model is 20 cm wide and 30 cm tall.
- Using the scale of 1 cm = 0.5 ft, we can convert these dimensions to actual measurements: 20 cm x 0.5 ft/cm = 10 ft wide, and 30 cm x 0.5 ft/cm = 15 ft tall.
- Therefore, the area of the wall to be painted is 10 ft x 15 ft = 150 square feet.

Now that we know the area of the wall, we can determine how many gallons of paint Kerrie will need. We are given that one gallon of paint will cover 400 square feet of wall, so we can use this information to set up a proportion:

1 gallon / 400 sq ft = x gallons / 150 sq ft

Solving for x (the number of gallons Kerrie will use), we get:

x = 150 sq ft / 400 sq ft/gallon
x = 0.375 gallons

Therefore, Kerrie will need approximately 0.375 gallons of paint to cover the wall design.

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Answer: (0, 3)

Explanation:

The original function is

f(x) = e^x

If it is dilated by a fator of 2 and translated 1 unit upwards, it becomes

2e^x + 1

This is the same as

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

Thus,

g(x) = 2e^x + 1

To find the y intercept, we woild substitute x = 0 into g(0). It becomes

g(0) = 2e^0 + 1 = 2 + 1 = 3

Thus, the correct oprion is

( 0, 3)

Answer:

There are infinite solutions

Step-by-step explanation:

2 (4x + 10) = 8x + 20

Distribute 2(4x + 10)

8x + 20 = 8x + 20

They equal each other meaning they are infinite solution

The graph meets the vertical line test requirement, it must represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

According to the function, every value in the domain is associated to exactly one value in the range, and they have a predefined domain and range. It is characterized as a certain kind of relationship.

Please refer to the image instead of the graph, which is related to it.

The graphic displays a graph.

A parabola is seen on the graph.

The vertical line test determines if a graph can be a function, as is common knowledge.

The graph passes the vertical line test option, indicating that it does in fact represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

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Answer:

Hence the positive numbers are 246, and 41

(246, 41)

Step-by-step explanation:

From the question,

Let the first positve number be \(x\)

and the other number be \(y\)

Hence,

\(x = 6y\) ....... (1)

Also,

That is,

\(x - y =205\) ........(2).

To solve for the two unknowns, substitute the value of \(x\) in equation (1) into equation (2).

Since,

\(x = 6y\)

Then

\(x - y =205\) becomes

\((6y) - y =205\\\)

Then,

\(6y - y = 205\\5y = 205\\\)

Divide both sides by 5

\(\frac{5y}{5} = \frac{205}{5} \\ y = 41\\\)

∴ the value of \(y\) is 41

Now, substitute the value of y into equation (1) to find \(x\)

Then,

\(x = 6y\) becomes

\(x = 6(41)\\x = 246\\\)

∴ the value of \(x\) is 246

Hence the positive numbers are 246, and 41

(246, 41)

Answer:

Step-by-step explanation:

82 hope this helps

a) The circle crosses the y-axis at the points (0, 6) and (0, -2). b) the radius of the circle is 5. c) (i) The length of CP is √34. (ii) The length of PQ is 10.

(a) To find the y-coordinates of the points where the circle crosses the y-axis, we substitute x = 0 into the equation of the circle:

0² + y² + 6(0) - 4y = 12

y² - 4y = 12

y² - 4y - 12 = 0

To solve this quadratic equation, we can factor it:

(y - 6)(y + 2) = 0

Setting each factor to zero, we find two possible values for y:

y - 6 = 0 => y = 6

y + 2 = 0 => y = -2

Therefore, the circle crosses the y-axis at the points (0, 6) and (0, -2).

(b) To find the radius of the circle, we can complete the square to rewrite the equation of the circle in standard form:

x² + y² + 6x - 4y = 12

(x² + 6x) + (y² - 4y) = 12

(x² + 6x + 9) + (y² - 4y + 4) = 12 + 9 + 4

(x + 3)² + (y - 2)² = 25

Comparing this equation with the standard form of a circle, (x - h)² + (y - k)² = r², we can see that the center of the circle is at (-3, 2) and the radius is √25 = 5.

Therefore, the radius of the circle is 5.

(c) (i) To find the length of CP, we can use the distance formula between two points. The coordinates of C are (-3, 2), and the coordinates of P are (2, 5).

The distance formula is given by:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

Substituting the coordinates into the formula, we have:

CP = √((2 - (-3))² + (5 - 2)²)

= √(5² + 3²)

= √(25 + 9)

= √34

Therefore, the length of CP is √34.

(ii) To find the length of PQ, we can use the fact that PQ is a tangent to the circle. The radius of the circle is 5, and the line segment CP is perpendicular to PQ.

Since CP is perpendicular to PQ, CP is the radius of the circle. Therefore, CP = 5.

Therefore, the length of PQ is equal to 2 times the length of CP:

PQ = 2 * CP

= 2 * 5

= 10

Therefore, the length of PQ is 10.

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