what is the rule that describes this pattern of numbers -10,000; -1,000; -100; -10; -1; -0.1; -0.01; -0.001

Each number is one-tenth the number to its left.

Each number is 10 more than the number to its left.

Each number is 10 times the number to its left.

Each number is one-tenth the number to its right.

Step-by-step explanation:

Team A time is    1 garden / ( 1 garden/ 2 hr + 1 garden/4 hr) = 1 1/3 hr

Team B =   1 / ( 1/3 + 1/3) =  1 1/2 hr

Team A wins !

The age of man is 63 years and the age of women is 21 years.

Given that, a character is criticized for marrying a woman when he is three times her age.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Let age of man be x and the age of women be y.

Now, x=3y ---------(1)

In 21 years time man will be twice her age.

x+21=2(y+21)

⇒ x+21=2y+42

⇒ x-2y=21 ---------(2)

Substitute equation (1) in (2), we get

3y-2y=21

⇒ y = 21

So, x=3y=63

Therefore, the age of man is 63 years and the age of women is 21 years.

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

#SPJ1

Answer:

1)  695.3 m²

2)  8 ft

3)  172.0 in²

Step-by-step explanation:

To find the area of a regular polygon, we can use the following formula:

\(\boxed{\begin{minipage}{5.5cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{s^2n}{4 \tan\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}\)

Given the polygon is an octagon, n = 8.

Given each side measures 12 m, s = 12.

Substitute the values of n and s into the formula for area and solve for A:

\(\implies A=\dfrac{(12)^2 \cdot 8}{4 \tan\left(\dfrac{180^{\circ}}{8}\right)}\)

\(\implies A=\dfrac{144 \cdot 8}{4 \tan\left(22.5^{\circ}\right)}\)

\(\implies A=\dfrac{1152}{4 \tan\left(22.5^{\circ}\right)}\)

\(\implies A=\dfrac{288}{\tan\left(22.5^{\circ}\right)}\)

\(\implies A=695.29350...\)

Therefore, the area of a regular octagon with side length 12 m is 695.3 m² rounded to the nearest tenth.

\(\hrulefill\)

The sum of an interior angle of a regular polygon and its corresponding exterior angle is always 180°.

If the exterior angle of a polygon measures 40°, then its interior angle measures 140°.

To determine the number of sides of the regular polygon given its interior angle, we can use this formula, where n is the number of sides:

\(\boxed{\textsf{Interior angle of a regular polygon} = \dfrac{180^{\circ}(n-2)}{n}}\)

Therefore:

\(\implies 140^{\circ}=\dfrac{180^{\circ}(n-2)}{n}\)

\(\implies 140^{\circ}n=180^{\circ}n - 360^{\circ}\)

\(\implies 40^{\circ}n=360^{\circ}\)

\(\implies n=\dfrac{360^{\circ}}{40^{\circ}}\)

\(\implies n=9\)

Therefore, the regular polygon has 9 sides.

To determine the length of each side, divide the given perimeter by the number of sides:

\(\implies \sf Side\;length=\dfrac{Perimeter}{\textsf{$n$}}\)

\(\implies \sf Side \;length=\dfrac{72}{9}\)

\(\implies \sf Side \;length=8\;ft\)

Therefore, the length of each side of the regular polygon is 8 ft.

\(\hrulefill\)

The area of a regular polygon can be calculated using the following formula:

\(\boxed{\begin{minipage}{5.5cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{s^2n}{4 \tan\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}\)

A regular pentagon has 5 sides, so n = 5.

If its perimeter is 50 inches, then the length of one side is 10 inches, so s = 10.

Substitute the values of s and n into the formula and solve for A:

\(\implies A=\dfrac{(10)^2 \cdot 5}{4 \tan\left(\dfrac{180^{\circ}}{5}\right)}\)

\(\implies A=\dfrac{100 \cdot 5}{4 \tan\left(36^{\circ}\right)}\)

\(\implies A=\dfrac{500}{4 \tan\left(36^{\circ}\right)}\)

\(\implies A=\dfrac{125}{\tan\left(36^{\circ}\right)}\)

\(\implies A=172.047740...\)

Therefore, the area of a regular pentagon with perimeter 50 inches is 172.0 in² rounded to the nearest tenth.

Answer:

1.695.29 m^2

2.8 feet

3. 172.0477 in^2

Step-by-step explanation:

1. The area of a regular octagon can be found using the formula:

\(\boxed{\bold{Area = 2a^2(1 + \sqrt{2})}}\)

where a is the length of one side of the octagon.

In this case, a = 12 m, so the area is:

\(\bold{Area = 2(12 m)^2(1 + \sqrt{2}) = 288m^2(1 + \sqrt2)=695.29 m^2}\)

Therefore, the Area of a regular octagon is 695.29 m^2

2.

The formula for the exterior angle of a regular polygon is:

\(\boxed{\bold{Exterior \:angle = \frac{360^o}{n}}}\)

where n is the number of sides in the polygon.

In this case, the exterior angle is 40°, so we can set up the following equation:

\(\bold{40^o=\frac{ 360^0 }{n}}\)

\(n=\frac{360}{40}=9\)

Therefore, the polygon has n=9 sides.

Perimeter=72ft.

We have

\(\boxed{\bold{Perimeter = n*s}}\)

where n is the number of sides in the polygon and s is the length of one side.

Substituting Value.

72 feet = 9*s

\(\bold{s =\frac{ 72 \:feet }{ 9}}\)

s = 8 feet

Therefore, the length of each side of the polygon is 8 feet.

3.

Solution:

A regular pentagon has five sides of equal length. If the perimeter of the pentagon is 50 in, then each side has a length = \(\bold{\frac{perimeter}{n}=\frac{50}{5 }= 10 in.}\)

The area of a regular pentagon can be found using the following formula:

\(\boxed{\bold{Area = \frac{1}{4}\sqrt{5(5+2\sqrt{5})} *s^2}}\)

where s is the length of one side of the Pentagon.

In this case, s = 10 in, so the area is:

\(\bold{Area= \frac{1}{4}\sqrt{5(5+2\sqrt{5})} *10^2=172.0477 in^2}\)

Drawing: Attachment

Because the y-intercept is (0, 1), the correct option must be the second option y = 3^x

Here we can see that we have an exponential function, so it can be written as:

f(x) = A*(b)^x

where A is the initial value and b the base.

When x = 0 we can see that the graph passes through y = 1, then:

f(0) = 1 = A*(b)^0

        1 = A

So our function is of the form:

f(x) = b^x

The only one of that form is the second option, so that is the correct one.

Learn more about exponential functions at:

https://brainly.com/question/2456547

#SPJ1

Answer:

the interest earned is $50.22.

the balance of the account is $975.22.

Step-by-step explanation:

a. To find the interest earned, we can use the formula:

Interest = Principal x Rate x Time

where the Principal is $925, the Rate is 2.3% expressed as a decimal (0.023), and the Time is 2.4 years.

Interest = $925 x 0.023 x 2.4

Interest = $50.22

Therefore, the interest earned is $50.22.

b. To find the balance of the account, we need to add the interest earned to the initial principal:

Balance = Principal + Interest

Balance = $925 + $50.22

Balance = $975.22

Therefore, the balance of the account is $975.22.

Answer:

0.00819672131 or 8.19x10^-3

just put it in a calculator

Answer:

Hey! so the answer is 0.00819672

Step-by-step explanation:

Just simply divide

Hoped this helped! Have a great day! Im Eve btw. Also consider marking this brainliest. Thank you in advanced if you do!✨

Answer:

ad fk kcfj dlajk jk djkfa ejk fks e

Step-by-step explanation:

Answer:

1632 inches squared

Step-by-step explanation:

Hi!

So the formula for area is length times width.

So you would multiply the length by the width which is 34 times 48 to get the area which is 1632 in squared.

Hope this helps!

This raffle's expected value per ticket is $ 0.25.

Given that 5,000 tickets are sold at $1 apiece for a charity raffle, and tickets are to be picked at random, the following monetary prizes will be awarded.

To estimate the expected value of this raffle if you buy 1 ticket, apply the following calculation: 1 prize of $ 500, 3 prizes of $ 200, 5 prizes of $ 10, and 20 prizes of $ 5.

⇒ (500 + 3 x 200 + 5 x 10 + 20 x 5) / 5000 = X

⇒ (500 + 600 + 50 + 100) / 5000 = X

⇒ 1250/5000 = X

Apply the division operation, and we get

⇒ 0.25 = X

Therefore, this raffle's expected value per ticket is $ 0.25.

To learn more about numerical expression click here :

https://brainly.com/question/6037813

#SPJ1

Answer:

T

Step-by-step explanation:

(x-10)^2=(x-10)(x-10)=(x^2-10x-10x+100)=x^2-20x+100

ANSWER: y = (1/2)x - 1.

To find the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1), we need to determine the slope of the tangent line and its y-intercept.

First, let's find the derivative of the function y = √(x - 3) using the power rule:

dy/dx = 1/(2√(x - 3))

Now, we can substitute x = 4 into the derivative to find the slope of the tangent line at that point:

m = dy/dx = 1/(2√(4 - 3)) = 1/2

So, the slope of the tangent line is 1/2.

Next, we can use the point-slope form of a line to find the equation of the tangent line. Given the point (4, 1) and the slope m = 1/2, the equation becomes:

y - y1 = m(x - x1)

Substituting the values (x1, y1) = (4, 1):

y - 1 = (1/2)(x - 4)

Simplifying the equation:

y - 1 = (1/2)x - 2

y = (1/2)x - 1

Therefore, the equation of the tangent line to the curve y = √(x - 3) at the point (4, 1) is y = (1/2)x - 1.

Answer:

y = (1/2)x - 1/2

Step-by-step explanation:

Step 1: Find the derivative of the function

The derivative of a function gives the slope of the tangent line to the curve at any point. To find the derivative of the given function y = sqrt(x - 3), we can use the power rule of differentiation which states that:

d/dx (x^n) = nx^(n-1)

Applying this rule to our function, we get:

dy/dx = d/dx sqrt(x - 3)

To differentiate the square root function, we can use the chain rule of differentiation which states that:

d/dx f(g(x)) = f'(g(x)) * g'(x)

Applying this rule to our function, we have:

g(x) = x - 3

f(g) = sqrt(g)

So,

dy/dx = d/dx sqrt(x - 3) = f'(g(x)) * g'(x) = 1/(2*sqrt(g(x))) * 1

Substituting g(x) = x - 3, we get:

dy/dx = 1/(2*sqrt(x - 3))

So, the derivative of y with respect to x is 1/(2*sqrt(x - 3)).

Step 2: Evaluate the derivative at the given point

To find the slope of the tangent line at the point (4, 1), we need to substitute x = 4 into the derivative expression:

dy/dx = 1/(2*sqrt(4 - 3)) = 1/2

So, the slope of the tangent line at the point (4, 1) is 1/2.

Step 3: Use point-slope form to write the equation of the tangent line

Now that we know the slope of the tangent line at the point (4, 1), we can use point-slope form to write the equation of the tangent line. The point-slope form of a line is given by:

y - y1 = m(x - x1)

where (x1, y1) is the point on the line and m is the slope of the line.

Substituting the values x1 = 4, y1 = 1, and m = 1/2, we get:

y - 1 = (1/2)*(x - 4)

Simplifying this equation, we get:

y = (1/2)x - 1/2

So, the equation of the tangent line to the curve y = sqrt(x - 3) at the point (4, 1) is y = (1/2)x - 1/2.

Hope this helps!

Yes, there is a difference in the shapes of the displacement-time graphs for uniform acceleration towards the positive direction, uniform acceleration towards the negative direction, uniform deceleration towards the positive direction, and uniform deceleration towards the negative direction.

Uniform acceleration towards the positive direction:

In this case, the object's velocity increases in the positive direction over time. The displacement-time graph will have a concave-upward shape, forming a curve that starts with a small slope and gradually becomes steeper as time progresses.

Uniform acceleration towards the negative direction:

Here, the object's velocity increases in the negative direction, meaning it accelerates in the opposite direction to its positive direction.

The displacement-time graph will have a concave-downward shape, forming a curve that starts with a steep slope and gradually becomes less steep as time progresses.

Uniform deceleration towards the positive direction:

In this scenario, the object's velocity decreases in the positive direction, but it still moves towards the positive direction.

The displacement-time graph will show a curve with a decreasing slope, forming a concave-downward shape, indicating that the object is slowing down.

Uniform deceleration towards the negative direction:

Here, the object's velocity decreases in the negative direction, opposing its initial direction.

The displacement-time graph will have a curve with a decreasing slope, forming a concave-upward shape, indicating that the object is slowing down but still moving in the negative direction.

In summary, the shapes of the displacement-time graphs differ based on the direction and type of acceleration (positive or negative) and whether the object is undergoing uniform acceleration or uniform deceleration. These differences can be observed through the concavity and slope of the graphs.

For similar question on displacement-time.

https://brainly.com/question/28357012  

#SPJ8

Answer:

If x = 3, then y = -2 since the corresponding value of y for x=3 is -2 in the given table.

Step-by-step explanation:

Equation which can be used to solve for the value of x is

3x° + 2x° + 80 °= 180° .

Straight angle pair is the sum of two or more angles that are in pair of angles that form a straight line is always equal to 180°.

As shown in the diagram angle on the lines are -

3x ° , 80° , 2x° respectively

Sum of all these angle will be equal to 180°.

3x° + 2x° + 80° = 180

The correct equation to find the value of x is 3x° + 2x° + 80° = 180° .

To know more about equation click here :

https://brainly.com/question/31086219

#SPJ1

The amount of money that Yolanda invested in the stock is x = $1600

An equation is the equality that has mathematical expressions on both sides of it, they can be functions, polynomials or others, there are no limits for them.

  Equations can be graphed, just like a function.

To solve this problem we will only formulate two equations:

(a) The sum of the amount to invest in stocks and bonds will be $6000:

x + y = 6000

(b) The percentage of stocks 6% and bonds 11% for a profit of $580.

0.06x + 0.11y = 580

x + y = 6000 ----⇒ x = 6000 - y

0.06(6000 - y) + 0.11y = 580

360 - 0.06y + 0.11y = 580

0.05y = 220

y = $4400

x = 6000 - 4400

x = $1600

Learn more about equations at:

brainly.com/question/8806877

#SPJ4

The equation of the line perpendicular to y=1/2x-1 and passing through the point (5,6) is y = -2x + 16.

To find the equation of the line perpendicular to y=1/2x-1, we need to determine its slope. We can recall that the slope of a line in slope-intercept form, y = mx + b, is given by m, the coefficient of x. So in the given equation y=1/2x-1, the slope is 1/2.

The slope of a line perpendicular to this line will be the negative reciprocal of the slope, which means it will be -2. To see why this is true, remember that the product of the slopes of two perpendicular lines is always -1. So if the slope of the original line is m, the slope of the perpendicular line will be -1/m.

Now that we know the slope of the perpendicular line is -2, we can use the point-slope form of the equation of a line to find its equation. The point-slope form is:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is a point on the line.

We are given a point on the perpendicular line, (5, 6), so we can substitute that into the equation and also substitute in the slope, -2:

y - 6 = -2(x - 5)

y - 6 = -2x + 10

y = -2x + 16

Hence, the equation of the line perpendicular to y=1/2x-1 and passing through the point (5,6) is y = -2x + 16.

To learn more about Line of Perpendicular and Slope of a line, refer to the following answers:

https://brainly.com/question/25842670

https://brainly.com/question/30422569

Let's assume that John buys x boxes of Cereal A and y boxes of Cereal B. Then, we can write the following system of inequalities based on the nutrient and calorie requirements:

10x + 5y ≥ 500 (minimum 500 units of vitamins)

5x + 10y ≥ 600 (minimum 600 units of minerals)

15x + 15y ≥ 1200 (minimum 1200 calories)

We want to minimize the cost, which is given by:

0.5x + 0.4y

This is a linear programming problem, which we can solve using a graphical method. First, we can rewrite the inequalities as equations:

10x + 5y = 500

5x + 10y = 600

15x + 15y = 1200

Then, we can plot these lines on a graph and shade the feasible region (i.e., the region that satisfies all three inequalities). The feasible region is the area below the lines and to the right of the y-axis.

Next, we can calculate the value of the cost function at each corner point of the feasible region:

Corner point A: (20, 40) -> Cost = 20

Corner point B: (40, 25) -> Cost = 25

Corner point C: (60, 0) -> Cost = 30

Therefore, the minimum cost is $20, which occurs when John buys 20 boxes of Cereal A and 40 boxes of Cereal B.

Answer:

Step-by-step explanation:

Angles <5 and <1 are adjacent to <6.

Adjacent angles refer to those angles that share a common side and common vertex but at the same time, not overlap with each other. In this question , angle <6 is sharing a side and a common vertex  with <5 and <1 without overlapping each other. Therefore, we can say that the angles are adjacent to each other.

Similarly, if we were supposed to find the adjacent angles of <1, then, the adjacent angles would be angles <6 and <2, as they are sharing the same side and common vertex with that of <1, and are not overlapping each other.

To learn more about adjacent angles:

https://brainly.com/question/28394984

The distance traveled after t seconds is given by:

\(d = |-\frac{(2t^2 + 2t + 1)e^{-2t}}{4}|\)

Here we know that the particle moves along a straight line with the velocity:

\(v(t) = t^2*e^{-2t}\)

Remember that the velocity is the rate of change of the position, so if we want to find the distance traveled after t seconds, we need to integrate this between 0 and t, we will get:

\(\int\limits^t_0 {t'^2*e^{-2t'}} \, dt' = -\frac{(2t^2 + 2t + 1)e^{-2t}}{4}\)

That is the expression that gives the distance traveled after t seconds, if we want to get it more exactly, we should take the absolute value, then we get:

\(d = |-\frac{(2t^2 + 2t + 1)e^{-2t}}{4}|\)

Learn more about distance at:

https://brainly.com/question/7243416

#SPJ1

Answer:

The answer is 0.3^2 x 10 = the last number to get 0.9

then 0.9^2 = 0.81 x -10 = 8.1     the actual jump =  + 1

We go back 1 places before to do missing sum

so that 0.3 x 1  = 0.3 x -9 = -2.7

Therefore the +1 numbers are decreasing from 10  to -10 then increasing in negative value from -10 to -9 etc.

Answer:

825,000

you move the decimal to the right 5 times.

Answer:

15 oz.

Step-by-step explanation:

Rounding to the nearest ounce:

14.853

Rounding notes:

If the number one place to the right of the rounding number is greater than 5, the number increases by 1.

If the number one place to the right of the rounding number is less than 5, the number stays the same and anything to the right of the rounding number changes to 0.

Work:

4 represents the 'ounces' place value.

To identify the rounding of 4, we need to determine if the value 8 is greater than 5, or less than 5.

8 > 5, meaning 4 increases to 5.

New rounded number = 15 oz.

Answer:

I don't know

Step-by-step explanation:

Dapat kasi mag-aaral ka mabuti para ikaw ay magiging matalino

Answer:The Cost of one rose bush is $11 and the cost of one shrub is $5

Step-by-step explanation: Well it took me 40 mins to get the answer and yes i know it shouldn't take that long but for a freshmanbut wow that was hard  , well 11 x 8 = 88 and 5 x 8 = 40 add that up 128 and for the 2nd question 11x 11= 121 then 5x 12= 60 and when you add it up you got 181 so what would the main numbers be that you used for both problems? it would be 11 for one  rose  and 5  for one shrubs. thanks for wasting my time on a hard question that took me 40 mins to answer

9514 1404 393

Answer:

  (c)  3

Step-by-step explanation:

The value of x must be between the difference and sum of the lengths of the other two sides. The value must be greater than 15-12 = 3.

  x > 3

Answer:

1 ⅓

Step-by-step explanation:

there 4 glasses and you put ⅓ in each one therefore 4 x ⅓ = 1 ⅓

The angle PMR in the quadrilateral is 32 degrees.

The angle PMR can be found as follows;

The line AP is an angle bisector of angle RPM. Therefore, the following relationships are formed.

∠RPM ≅ ∠WPM

Hence,

∠RPM ≅ ∠WPM = 58 degrees

Therefore,

∠WPM = 58 degrees

∠PWM = 90 degrees

Let's find ∠PMR as follows

∠PMR = 180 - 90 - 58

∠PMR = 90 - 58

∠PMR  = 32 degrees

learn more on angles here:https://brainly.com/question/25779160

#SPJ1

Answer:

the answer is a.12

i think

Answer:

17.25

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

In Line 4, she forgot to take the negative square root, because squaring both 8 and −8 equals 64.

Answer:

1 4/11

Step-by-step explanation:

Answer:

1 4/11 or 15/11

Step-by-step explanation:

basically to do that, you have to put both numbers into an improper fraction then subtract.

----- is  the fraction bar.

44          29           15                                                4

----    -    -----   =    -------            mixed number :  1  ----

11            11             11                                                11

hope this helped!

mark me brainliest :D

Answer:

Step-by-step explanation:

For these questions, I like to get the answer using y=mx+b where m = slope and b= y-intercept

let's re-arrange the equation so that it is in that form.

9x+3y=-6

-9x     -9x

3y = -9x - 6

/3       /3  /3

y=-3x-2

-3 is the slope

-2 is the y-intercept.