The length of the side of a regular nonagon is 7.86cm. Evaluate the perimeter of the nonagon.

Answer: (3,8)

*** ask if need explantion

Answer:

y=11, x=3

Step-by-step explanation:

Substitute y=4x-1:

4x-1=x+8

Isolate x for 4x-1=x+8:

4x-1=x+8

Add 1 to both sides:

4x-1+1=x+8+1

Simplify:

4x=x+9

Subtract x from both sides:

4x-x=x+9-x

Simplify 3x=9

Divide both sides by 3:

3x/3=9/3

Simplify:

x=3

For y=4x-1

Substitute x=3

y=4*3-1

Simplify

y=11

The solution to the system of equations are:

y=11,x=3

The equation 12x + 1 = 3(4x + 1) – 2 have infinite solutions

An equation is a mathematical statement that shows that two mathematical expressions are equal. In other terms we say that an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

To solve this problem, we can proceed to solve this equation by collecting like terms and then dividing through to know the coefficient of x.

⇒ 12x + 1 = 3(4x + 1) – 2

⇒ 12x + 1 = 12x + 3 – 2

⇒ 12x + 1 = 12x + 1

So that, The equation have infinite solutions.

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This problem have two question:

1) How many solutions exist for the given equation? 12x + 1 = 3(4x + 1) – 2

2) Which of the following shows the graph of y = –(2)x – 1?

we are giving the answer of question no.1

Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.

Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.

First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.

Next, we can find the vertex using the formula:

Vertex = (-b/2a, f(-b/2a))

where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:

Vertex = (-b/2a, f(-b/2a))

= (-6/(2*-1), f(6/(2*-1)))

= (3, -14)

So the vertex of the parabola is at the point (3,-14).

Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.

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Answer:

The volume is about 5275.2 m^3

Step-by-step explanation:

The formula for volume of a cone is given by:

V = 1/3πr^2h, where

Step 1:  We're not given the radius, but we see that the slant height and the regular height (altitude) are parts of a right triangle inside the cone, where

Since we're working with a right triangle, we can find the other leg (our radius) using the Pythagorean theorem, which is:

a^2 + b^2 = c^2, where

Thus, we can plug in 35 for a and 37 for c, allowing us to solve for b, the measure of our radius:

1.1 Plug in 35 for a and 37 for c.  Then simplify:

35^2 + b^2 = 37^2

1225 + b^2 = 1369

1.2 Subtract 1225 from both sides:

(1225 + b^2 = 1369) - 1225

b^2 = 144

1.3 Take the square root of both sides to isolate and solve for b, the measure of the radius:

√b^2 = ± √144

b = ± 12

Although taking the square root of a number gives us both a positive and negative answer, you can't have a negative measure, so b = 12 and thus the radius, r, = 12 m

Step 2:

Plug in 3.14 for π, 12 for r, and 35 for h in the volume formula.  Then simplify and round to find the volume of the cone:

V = 1/3(3.14)(12)^2(35)

V = 157/150 * 144 * 35

V = 150.72 * 35

V = 5275.2 m^3

Thus, the volume of the cone is 5275.2 m^3

The solution to the given exponential equation is  2 or -5.

From the given exponential equation,

since the base is the same on both sides, we can say that the expression on the exponents should also be the same.

So we have,

x²+5x-4=2x+6

Taking the same terms together we get the quadratic equation,

x²+(5x-2x)-(4+6)=0

x²+3x-10=0

Now we split the middle term into 5x-2x so that in the end we get two factors

i.e.

x²+(5x-2x)-10=0

(x²+5x)-(2x-10)=0

x(x+5)-2(x+5)=0

(x+5)(x-2)=0

if we apply zero product property, we get,

x-2=0 and x+5=0

So, the possible values of x can be 2 or -5

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Answer:

Step-by-step explanation:

In a rectangular prism, the cross-section is always a rectangle.

In a triangular prism, each cross-section parallel to the triangular base is a triangle congruent to the base.

3/10 (option B)

fraction that chose vanilla ice cream = 2/5

fraction that chose chocolate ice cream = 3/10

let the fraction that chose strawberry ice cream = y

Total fraction = 1

fraction that chose vanilla ice cream + fraction that chose chocolate ice cream + fraction that chose strawberry ice cream = 1

2/5 + 3/10 + y = 1

Fraction of the class chose strawberry ice cream is 3/10 (option B)

The exponential function f(x) = 400(1. 02)ˣ is $400 does the y-intercept mean in the context of the issue.

Given that,

Samra's guardians made a yearly compounding investment on her behalf in a 529 college savings plan. The exponential function f(x) = 400(1. 02)ˣ can be used to describe the growth of the savings plan on an annual basis, x.

We have to find what does the y-intercept mean in the context of the issue.

We know that,

The exponential function is f(x) = 400(1. 02)ˣ.

In this instance, the significance of the y-intercept in relation to the situation at hand is that the beginning value of the investment is equal to $400.

Therefore, The exponential function f(x) = 400(1. 02)ˣ is $400 does the y-intercept mean in the context of the issue.

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Answer:

29

Step-by-step explanation:

You take the two sides and make them to the second power so 20 would be 400 and 21 would be 441. You add those numbers to get 841. Than the square root of 841 is the answer which is 29

Answer:

5:03

Step-by-step explanation:

it dosnt say anything about time zones so im going to assume they are using the same time

2:46 is time flight leaves

after 2 hours 17 minutes it arrives

add 2:17 minutes to 2:46 to get answer

2:46

2:17

4:63

63 minutes = 1 hour 3 minutes

5:03

Answer:

Given that a flight from Miami to Boston takes 2 hours 17 minutes.

The flight left Miami international Airport at 2:46.

Time should it arrive at Boston Logan international Airport

(2:46+2hrs17minutes)=(4:63)= (5:03)

(63 min = 1hrs 03 min)

The system οf inequalities that represents Tim's stοre needs is G≥9, B+G≥ 12.

Optiοn (A) is cοrrect.

In mathematics, an inequality is a statement that cοmpares twο values and indicates whether they are equal, nοt equal, greater than, οr less than each οther. An inequality is represented using symbοls such as "<" (less than), ">" (greater than), "≤" (less than οr equal tο), "≥" (greater than οr equal tο), οr "≠" (nοt equal tο).

The system οf inequalities that represents Tim's stοre needs is:

G ≥ 9 (Tim needs at least 9 mοre pοunds οf green tea)

B + G ≥ 12 (Tim needs at least 12 pοunds οf tea in tοtal)

Let G represent the amοunt οf green tea and B represent the amοunt οf black tea.

Tim needs at least 9 mοre pοunds οf green tea, sο we can write G ≥ 9.

Tim needs at least 12 pοunds οf tea in tοtal, which means the sum οf the amοunts οf black and green tea shοuld be at least 12. Therefοre, we can write B + G ≥ 12.

Sο the cοrrect οptiοn is A. G≥9, B+G≥ 12

Hence, the system οf inequalities that represents Tim's stοre needs is G≥9, B+G≥ 12.

Optiοn (A) is cοrrect.

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The joint probability mass function of X and Y, E[X|Y=1] = 2, E[X|Y=2] = 5/2, and E[X|Y=3] = 8/3.If it is true for all values of x and y, then X and Y are independent. Otherwise, they are dependent.

To compute E[X|Y=i], we need to use the formula:

\(E[X|Y=i] = ∑ x*xp(x|Y=i) / P(Y=i)\)

where xp(x|Y=i) is the conditional probability of X given Y=i, and P(Y=i) is the marginal probability of Y=i.

Using Bayes' theorem, we can compute the conditional probabilities xp(x|Y=i) as follows: xp(1|Y=1) = P(X=1,Y=1) / P(Y=1) = (1/9) / (1/9 + 1/3 + 1/9) = 1/3. xp(2|Y=1) = P(X=2,Y=1) / P(Y=1) = (1/3) / (1/9 + 1/3 + 1/9) = 1/3. xp(3|Y=1) = P(X=3,Y=1) / P(Y=1) = (1/9) / (1/9 + 1/3 + 1/9) = 1/3. xp(1|Y=2) = P(X=1,Y=2) / P(Y=2) = (1/9) / (1/9 + 0 + 1/18) = 2/3. xp(2|Y=2) = P(X=2,Y=2) / P(Y=2) = 0 / (1/9 + 0 + 1/18) = 0

xp(3|Y=2) = P(X=3,Y=2) / P(Y=2) = (1/18) / (1/9 + 0 + 1/18) = 1/2. xp(1|Y=3) = P(X=1,Y=3) / P(Y=3) = 0 / (1/9 + 1/6 + 1/9) = 0. xp(2|Y=3) = P(X=2,Y=3) / P(Y=3) = (1/18) / (1/9 + 1/6 + 1/9) = 1/3. xp(3|Y=3) = P(X=3,Y=3) / P(Y=3) = (1/9) / (1/9 + 1/6 +1/9) = 2/3

Using these conditional probabilities, we can compute the conditional expectations E[X|Y=i] as follows: E[X|Y=1] =

\(1*(1/3) + 2*(1/3) + 3*(1/3)\)

= 2

E[X|Y=2] =

\(1*(2/3) + 20 + 3(1/2) = 5/2 E[X|Y=3]\)

=

\(10 + 2(1/3) + 3*(2/3) = 8/3\)

To determine if X and Y are independent, we need to check if the joint probability mass function can be factored into the product of the marginal probability mass functions: p(x,y) = p(x) * p(y)

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Answer:

D

Step-by-step explanation:

4 1/2, square root of 24, 5, 5.1

Answer:

answer is option d. 4 1/2, sq24, 5, 5.1

Step-by-step explanation:

Simplify the expressions that are needed to be simplified in order to list them from least to greatest.

\(\sqrt{24}\) = 4.898....

\(4\frac{1}{2}\) = 4.5

5.1

5

Now that we have all of our measurments, we can order them from least to greatest.

\(4 \frac{1}{2}\), \(\sqrt{24}\), 5, 5.1

hope this helps and is right :)

Answer:

1/12

Step-by-step explanation:

The probability of rolling a two is

P(2) = number of twos/ total

        =1/6

The probability of landing on tails

P(tails) = tails/total

             =1/2

P(2, tails) = P(2)  *  P(tails)  since they are independent events

               = 1/6 * 1/2

                 =1/12

Answer:

a. y= 3x

b. y= -x + 2

Step-by-step explanation:

Its the answer

Answer:

b is y=2x-1 and i dont know for a. im also stuck on it

Step-by-step explanation:

Therefore, the NPV of this investment is $67,394.11, rounded to the nearest cent.

NPV stands for net present value. It is a financial metric that calculates the difference between the present value of cash inflows and the present value of cash outflows.

present value of a cash flow is calculated by dividing it by one plus the cost of capital raised to the power of the number of years until the cash flow is received.The formula to calculate net present value (NPV) of an investment is: NPV = (Cash flow / (1+ r)n ) – Initial Investment where r is the discount rate (9.5% in this case) and n is the number of time periods.

Let's calculate the NPV for this investment:Year 1 cash flow

= $79,800

Year 2 cash flow = $30,400

Initial Investment = -$105,000 (Note: Initial investment is a cash outflow and hence negative)

NPV = (79,800 / (1+ 0.095)1 ) + (30,400 / (1+ 0.095)2 ) - 105,000

NPV = $67,394.11

Therefore, the NPV of this investment is $67,394.11, rounded to the nearest cent.

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Answer:

36 - [18 - {14 - (15 - 4 ÷ 2 × 2)}]= 36-[18-{14-(15-4)}]= 36-[18-{14-9}]=36-[18-5]=36-13=23

Step-by-step explanation:

36 - [18 - {14 - (15 - 4 ÷2 ×2)}]

= 36 - [18 - {14 - (15 - 2 ×2)}]

= 36 - [18 - {14 - (15 - 4)}]

= 36 - [18 - {14 - 11}]

= 36 - [18 - 3]

= 36 - 15

= 21

21

The most common error when entering a formula is to reference the wrong cell in the formula.

This error occurs when the cell references within a formula do not match the intended cells. It can lead to incorrect calculations and produce unexpected results. For example, if a formula is supposed to use data from cell A1 but mistakenly refers to cell B1, the calculation will be based on the wrong data. It is important to double-check and ensure that the cell references in a formula accurately reflect the intended data sources to avoid this common mistake.

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The additive inverse of the given complex number becomes 8 - 3i

The additive inverse of a complex number is the number that, when added to the original complex number, gives a sum of zero.

To find the additive inverse of the complex number -8 + 3i, we need to change the sign of both the real and imaginary parts.

The complex number -8 + 3i becomes 8 - 3i.

Therefore, the additive inverse of the complex number -8 + 3i is 8 - 3i.

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The length of the tank is 350 yards.

To find the length of the tank, we can use the formula for the volume of a rectangular prism:

Volume = length x width x height

We are given that the volume of the tank is 875 cubic yards, the width is 16 2/3 yards, and the height is 2 4/5 yards.

First, we need to convert the mixed numbers into a improper fractions:

16 2/3 = (16 x 3 + 2) / 3 = 50/3

2 4/5 = (2 x 5 + 4) / 5 = 14/5

Now we can plug in the values and solve for the length:

875 = length x 50/3 x 14/5

Multiplying both sides by 3/50 x 5/14 to isolate length gives:

length = 875 / (3/50 x 5/14)

length = 875 / (15/700)

length = 350

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A: To determine when the lizard is back on the water, we need to find the time when the height (h) is equal to 0. So we set the equation -12t^2 + 6t = 0 and solve for t.

-12t^2 + 6t = 0

Factor out common terms:

-6t(2t - 1) = 0

Set each factor equal to 0:

-6t = 0 or 2t - 1 = 0

Solving each equation:

-6t = 0 --> t = 0

2t - 1 = 0 --> 2t = 1 --> t = 1/2

So the lizard is back on the water at t = 0 seconds and t = 1/2 seconds.

B: The height of each jump can be determined by substituting the time (t) values into the equation h = -12t^2 + 6t.

For t = 0 seconds:

h = -12(0)^2 + 6(0)

h = 0

For t = 1/2 seconds:

h = -12(1/2)^2 + 6(1/2)

h = -12(1/4) + 6/2

h = -3 + 3

h = 0

So each jump has a height of 0 feet.

C: To find the time it takes to reach the highest point, we need to find the vertex of the parabolic equation -12t^2 + 6t. The time at the vertex represents the highest point.

The formula for the x-coordinate of the vertex of a quadratic equation in the form ax^2 + bx + c is given by -b/(2a). In this case, a = -12 and b = 6.

t = -6/(2(-12))

t = -6/(-24)

t = 1/4

So it takes 1/4 seconds to reach the highest point.

Therefore, the answers are:

A: The lizard is back on the water at t = 0 seconds and t = 1/2 seconds.

B: Each jump has a height of 0 feet.

C: It takes 1/4 seconds to reach the highest point.

If x = 5 then 5*48 = 240 and 16*15 equals 240 equals eachother.

Another perspective:   Divide 16 by 5  then divide 48/15

        16/5=3.2         48/15=3.2      Hence the porportions are the same.

Answer:

800,000,000

Step-by-step explanation:

Answer:

-2/15

Step-by-step explanation:

1. Change the denominator.

1/5 = 3/15

3/15 = 5/15

3/15 - 5/15 = -2/15

The second term in the expansion of (a+b)^9 (a+b) is 10a^9b

The value of the expression is r'(t) = (4, 6t, 12t²), T(1) = (2/7, 3/7, 6/7), r''(t) = (0, 6, 24t), r'(t) ร r''(t) = 144t³.

We are given the vector-valued function r(t) = (4t, 3t², 4t³).

To find r'(t), we need to take the derivative of each component of r(t) with respect to t:

r'(t) = (d/dt)(4t), (d/dt)(3t²), (d/dt)(4t³)

r'(t) = (4, 6t, 12t²)

To find T(1), we need to evaluate r'(t) at t = 1 and then divide by the magnitude of r'(1):

r'(1) = (4, 6(1), 12(1)²) = (4, 6, 12)

| r'(1) | = sqrt(4² + 6² + 12²) = sqrt(196) = 14

T(1) = r'(1) / | r'(1) | = (4/14, 6/14, 12/14) = (2/7, 3/7, 6/7)

To find r''(t), we need to take the derivative of each component of r'(t) with respect to t:

r''(t) = (d/dt)(4), (d/dt)(6t), (d/dt)(12t²)

r''(t) = (0, 6, 24t)

Finally, to find r'(t) ร r''(t), we need to take the dot product of r'(t) and r''(t):

r'(t) ร r''(t) = (4, 6t, 12t²) ร (0, 6, 24t)

r'(t) ร r''(t) = 0 + 6t(6t) + 12t²(24t)

r'(t) ร r''(t) = 144t³

Therefore, we have:

r'(t) = (4, 6t, 12t²)

T(1) = (2/7, 3/7, 6/7)

r''(t) = (0, 6, 24t)

r'(t) ร r''(t) = 144t³

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The total debt-equity ratio is 0. 50. The correct answer is B.

A company's debt-to-equity ratio (D/E ratio) reveals how much debt it has in relation to its assets. It is calculated by dividing the total debt of a corporation by the total shareholder equity.

To calculate the total debt-equity ratio, we divide the total debt by the total equity.

Total equity = $183,000

Total assets = $275,000

Total debt = Total assets - Total equity

Total debt = $275,000 - $183,000

Total debt = $92,000

Debt-Equity Ratio = Total debt / Total equity

Debt-Equity Ratio = $92,000 / $183,000

Debt-Equity Ratio ≈ 0.5027

Rounding to two decimal places, the total debt-equity ratio is approximately 0.50.

Therefore, the correct option is b) 0.50.

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Find the equation of the line through (-3,5) that is parallel to y=-2x+8

step 1

Find out the slope of the given line

y=-2x+8

the slope is m=-2

step 2

Remember that

if two lines are parallel, then their slopes are equal

that means

the slope of the parallel line is m=-2

step 3

Find out the equation in slope-intercept form

y=mx+b

we have

m=-2

point (-3,5)

substitute and solve for b

5=-2(-3)+b

5=6+b

b=-1

therefore