The length and breadth of a rectangular park 25m and 12m. find the distance covered by a boy who takes 4 rounds of the garderean. also find its a

The amount of variance for y that is predicted by its relationship with x is 64%.

Variance measures the rate of dispersion of a data point around the dataset. It can be calculated by finding the square of the standard deviation of a dataset. Variance measures the variation of a data set.

Correlation is a statistical measure used to measure the linear relationship that exists between two variables. The greater the correlation coefficient is closer to one, the greater the linear relationship that exists between the two variables. A positive correlation occurs when the two variables move in the same direction.

Variance = (correlation coefficient²) x 100

(0.80²) x 100

0.64 x 100 = 64%

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The equation for function g is given by using translational ideas:

g(x) = 7x/3 + 1.

According to operations like multiplication or sum/subtraction either in its definition or in its domain, a translation is represented by a change in the function graph. Examples include shifting to the left or right or up or down, compressing or stretching vertically or horizontally, and reflecting over the x- or y-axis.

Given that f(x) exists, obtaining f is equal to compressing horizontally by a factor of a. (ax).

The function in this issue is as follows:

f(x) = 7x + 1.

We have the following for a horizontal compression of 1/3:

g(x) = f(1/3x) = 7x/3 + 1.

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Answer:

y = 2(1/2)^x --> Second choice

y = (1/4)^x --> First choice

y = 3^x --> Third choice

Step-by-step explanation:

Take a look at the images uploaded for the reasons why.

y = 2(1/2)ˣ is y intercept (0,2) second choice, y = (1/4)ˣ is y intercept (0,1) first choice, y = 3ˣ is y intercept (0,1), fourth choice.

Let's break down each of the given exponential functions and understand their y-intercepts:

y = 2(1/2)ˣ :

When x = 0, the value of (1/2)ˣ  is 1, since any number raised to the power of 0 is 1. Therefore, y = 2 * 1 = 2 when x = 0. This gives us the y-intercept (0, 2).

y = (1/4)ˣ :

Similarly, when x = 0, the value of (1/4)ˣ  is 1, since any number raised to the power of 0 is 1. Therefore, y = 1 when x = 0. This gives us the y-intercept (0, 1).

y = 3ˣ :

Again, when x = 0, the value of 3ˣ  is 1. Therefore, y = 1 when x = 0. This gives us the y-intercept (0, 1).

The y-intercept is the point where the graph of the function intersects the y-axis, which occurs when x is zero. In all three cases, when x = 0, the exponent becomes zero, resulting in the base being raised to the power of zero, which is always equal to 1. The graph is given below.

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The measure of the central angle of the circle BC = 176°

The central angle is an angle with two arms and a vertex in the middle of a circle. The two arms of the circle's two radii intersect the circle's arc at two separate locations. It is an angle whose vertex is the center of a circle with the two radii lines as its arms, that intersect at two different points on the circle.

The central angle of a circle formula is as follows.

Central Angle = ( s x 360° ) / 2πr

where s is the length of the arc

r is the radius of the circle

Central Angle = 2 x Angle in other segment

Given data ,

Let the three points be represented as A, B and C

Now , the measure of angle ∠BAC = 88°

And , the measure of the central angle is given by

Central Angle = 2 x Angle in other segment

On simplifying the equation , we get

The measure of central angle BC = 2 x 88°

The measure of central angle BC = 176°

Hence , the measure of central angle is 176°

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The desired minimum revenue is $130.

What is revenue?

Revenue, which is determined by multiplying the average sales price by the quantity of units sold, is the money made from regular business operations. The top line (or gross income) figure is what is used to calculate net income by deducting costs. Sales are another name for revenue in the income statement.

Let us assume,

charge = b

customer= c

revenue= r

We know that,

r= bc

⇒ [tex]r=16\times 10[/tex]

⇒ [tex]r=\ 160[/tex]

Also,

[tex]b+1[/tex] ⇒ [tex]c-2[/tex]

with a target of [tex]r \geq 130[/tex]

Therefore,

[tex]b=10+x[/tex] ⇒ [tex]c=16-2x[/tex]

[tex](10+x)(16-2x)\geq 130\\160-20x+16x-2x^2 \geq 130\\-2x^2 -4x+30\geq 0\\x^2+2x-15\leq 0\\(x+1)^2 \leq 4^2\\x+1 \leq 4[/tex]

as negative value is not considered.

[tex]x\leq 3[/tex]

We get the result that [tex]\[/tex]3 is the maximum increase amount.

Therefore, revenue will be:

[tex](10+3)(16-3\times2)=13\times 10\\[/tex]

revenue = [tex]\[/tex]130

Full Question: Noah manages a buffet at a local restaurant. He charges $10 for the buffet. On average, 16 customers choose the buffet as their meal every hour. After surveying several customers, Noah has determined that for every $1 increase in the cost of the buffet, the average number of customers who select the buffet will decrease by 2 per hour. The restaurant owner wants the buffet to maintain a minimum revenue of $130 per hour. Noah wants to model this situation with an inequality and use the model to help him make the best pricing decisions. Assuming that any increase occurs in whole dollar amounts, what is the maximum possible increase that maintains the desired minimum revenue? Explain why this is true.

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Answer:

The desired minimum revenue is $130.

What is revenue?

Revenue, which is determined by multiplying the average sales price by the quantity of units sold, is the money made from regular business operations. The top line (or gross income) figure is what is used to calculate net income by deducting costs. Sales are another name for revenue in the income statement.

Step-by-step explanation:

Worked out for me :)

Answer:

1/1000 = 0.001

Step-by-step explanation:

Out of the 1000 tickets only one will be chosen. And since you only bought one ticket you would get a 1/1000 chance to get chosen. If you turn 1/1000 into a decimal you get 0.001 or 0.1%. Say if you bought 2 tickets you would get a 2/1000 chance which would be a 0.2% chance and so on.

right angles. .... . . . . ......

The slope of the linear function described in this problem is:

m = -3.

A linear function is modeled by:

y = mx + b

In which:

In this problem, the line goes through points (5,3) and (8,-6). Considering that the slope is given by change in y divided by change in x, for this function, it is given by:

m = (-6 - 3)/(8 - 5) = -9/3 = -3

The slope of the linear function described in this problem is:

m = -3.

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Answer:

Step-by-step explanation:

15 rows adding 4 additional seats to each. Once at end add all seats in rows together for the final answer.

1-25

2-29

3-33

4-37

5-41

6-45

7-49

8-53

9-57

10-61

11-65

12-69

13-73

14-77

15-81

Add all togther. 25+29+33+37+41+45+49+53+57+61+65+69+73+77+81=795

So there are 795 seating capacity.

The number has over positive integer divisors. One of them is chosen at random. If each divisor has the same probability, then the likelihood that a random one will be odd is precisely 1/19. This assumes that all divisors have the same probability. This is further explained below.

Generally, The possibility of an occurrence may be quantified using the concept of probability. There are many occurrences that cannot be foreseen with complete accuracy.

In conclusion, The number may be divided into more than positive integers. A selection is made at random from among them. If each divisor has the same probability, then the chance that a random one would be odd is exactly 1/19. This assumes that each divisor has the same probability. This makes the assumption that the probability of each divisor is the same.

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Integrate both sides.

[tex]\displaystyle \int \frac{ds}{dt} \, dt = \int 36t (9t^2 - 7)^3 \, dt[/tex]

On the right side, substitute [tex]u=9t^2-7[/tex] and [tex]du=18t\,dt[/tex], so that

[tex]\displaystyle \int 36t (9t^2 - 7)^3 \, dt = 2 \int u^3 \, du = \frac12 u^4 + C = \frac12 (9t^2 - 7)^4 + C[/tex]

Use the initial value to solve for [tex]C[/tex].

[tex]s(1) = 1 \implies 1 = \dfrac12 (9 - 7)^4 + C \implies 1 = 8 + C \implies C=-7[/tex]

Then the particular solution is

[tex]s(t) = \boxed{\dfrac12 (9t^2 - 7)^4 - 7}[/tex]

The match of solutions with the exponential expressions is

1) [tex]\frac{(2(3^{-2}) )^{3} (5(3^{2}) )^{2} }{(3^{-2})((5)(2))^{2}}=2[/tex]

2) [tex](3^3) (4^0)^2 (3(2))^{-3} (2^2)=1/2[/tex]

3) [tex]\frac{(3^74^7) (2(5))^{-3} (5)^2}{(12^7) (5^{-1}) (2^{-4})} =2[/tex]

4) [tex]\frac{(2(3))^{-1} (2^0)}{(2(3))^{-1}}=1[/tex]

The base will be multiplied by itself a certain number of times, as indicated by the exponent (also known as a power or degree).

Formulae for solving exponents are referred to as exponents formulas. The exponent of a number is written as [tex]x^{n}[/tex], which means that x has been multiplied by itself n times.

[tex]x^{n}(x^{m})=x^{n+m} \\\frac{x^{n} }{x^{m} }=x^{n-m} \\(x^{n} )^{m} =x^{nm} \\((x)(y))^{n}=x^{n}(y^{n} \\x^{0}=1[/tex]

1) the solution of the first expression will be

[tex]\frac{(2(3^{-2}) )^{3} (5(3^{2}) )^{2} }{(3^{-2})((5)(2))^{2}}[/tex]

[tex](2^3) (3^{-6} ) (5^2) (3^4) / (3^{-2}) (10^2)= (2.2^2.5^2) (3^{-6}.3^4) / (3{^-2}) (10^2)= (2)(10^2) (3^{-2}) / (3^{-2}) (10^2)\\=2[/tex]

2)The solution of the second expression will be

[tex](3^3) (4^0)^2 (3(2))^{-3} (2^2)[/tex]

Any  number with power zero is 1.

So,

[tex](3^3) (1^2) (3^{-3}) (2^{-3}) (2^2)= (2^{(-3+2)})=2^-1\\= 1/2[/tex]

3) The solution of third expression will be

[tex]\frac{(3^74^7) (2(5))^{-3} (5)^2}{(12^7) (5^{-1}) (2^{-4})} \\= \frac{(12^7) (2^{-3}) (5^{-3}) (5^2)}{(12^7) (5^{-1}) (2^{-4})} =\frac{(2^-3) (5^{(-3+2)})}{(5^{-1}) (2^{-4})} = \frac{(2^{-3}) (5^{-1})}{(5^{-1}) (2^{-}4)} = \frac{1}{(2^{-1})} = 2[/tex]

4) The solution to the forth expression will be

[tex]\frac{(2(3))^{-1} (2^0)}{(2(3))^{-1}}\\=2^{0}\\ =1[/tex]

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Answer:

The person above litteraly gave you the answer just reread the first equations and then you will figure it out

Step-by-step explanation:

Answer:

Center is at (0,0)

Step-by-step explanation:

An equation of ellipse in standard form is:

[tex]\displaystyle{\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2} = 1[/tex]

Where center is at point (h,k)

From the equation of [tex]\displaystyle{x^2+5y^2-45=0}[/tex]. First, we add 45 both sides:

[tex]\displaystyle{x^2+5y^2-45+45=0+45}\\\\\displaystyle{x^2+5y^2=45}[/tex]

Convert into the standard form with RHS (Right-Hand Side) equal to 1 by dividing both sides by 45:

[tex]\displaystyle{\dfrac{x^2}{45}+\dfrac{5y^2}{45}=\dfrac{45}{45}}\\\\\displaystyle{\dfrac{x^2}{45}+\dfrac{y^2}{9}=1}[/tex]

Therefore, the center of ellipse is at (0,0) since there are no values of h and k.

The volume of helium inside the balloon decreased at a rate of 0.1 cubic feet per minute. The linear equation that represents the given data is y = -0.1x + 6 and its slope m = -0.1.

The equation of the line passing through the points (x1, y1) and (x2, y2) is

(y - y1) = m(x - x1).

Where m is the slope of the line and is calculated by

m = (y2 - y1)/(x2 - x1)

The given data in the table represents the volume of helium (cu ft), inside a balloon relative to the elapsed time in minutes.

x: 5, 10, 15, 20, 25, 30, 35, 40

y: 5.5, 5, 4.5, 4, 3.5, 3, 2.5, 2

From this table, consider two points (5, 5.5) and (10, 5)

So, the equation of the line is

y- y1 = m(x - x1)

Where slope m = (y2 - y1)/(x2 - x1)

⇒ m = (5 - 5.5)/(10 - 5)

⇒ m = -0.5/5

∴ m = -0.1

Thus, the equation is

y - 5.5 = -0.1(x - 5)

⇒ y - 5.5 = -0.1x + 0.5

⇒ y = -0.1x + 0.5 + 5.5

⇒ y = -0.1x + 6.0

∴ y = -0.1x + 6

Since the slope of the line is negative, the volume of the helium inside the balloon decreased at a rate of 0.1 cubic ft per minute.

So, option 2 is correct.

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Step-by-step explanation:

I understand this that we need to find a point B for each of a) to f).

remember, the slope is the (y coordinate difference / x coordinate difference) when going from one point on the line to the other.

a)

the slope 2/3 means that when going to B x has to increase by 3, and y has to increase by 2.

so, B = (-2 + 3, 5 + 2) = (1, 7)

b)

-2/3 means that either x or y have to decrease and the other to increase.

e.g. x increases by 3, y decreases by 2.

so, B = (-2 + 3, 5 - 2) = (1, 3)

c)

4 stands for 4/1.

so, x increases by 1, y increases by 4.

B = (-2 + 1, 5 + 4) = (-1, 9)

d)

similar to c) -3 stands for -3/1.

and similar to b) either x or y has to decrease and the other to increase.

e.g. x increases by 1, y decreases by 3.

B = (-2 + 1, 5 - 3) = (-1, 2)

e)

that means the y difference is 0. B has the same y coordinate.

e.g. B = (3, 5)

x can be any value.

the line is a horizontal line going through y = 5 or (0, 5) on the y-axis.

f)

that means the x difference is 0. B has the same x coordinate.

e.g. B = (-2, 9)

y can be any value.

the line is a vertical line going through x = -2 or (-2, 0) on the x-axis.

The alternatives that are similar monomials are given as follows:

a) 8x and -7x.

c) 4 and -17.

f) -x/3 and 11x.

Similar monomials are monomials in which the part with the letters are equal. For example, 8x and -7x, as x = x, or even 9x²y and -2x²y, as x²y = x²y.

Hence options a, c and f are correct in this problem.

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Answers are in bold

A   larger   standard deviation represents an overall wide spread of data points while a   smaller   standard deviation represents a closely clustered set of points.

Keep in mind the standard deviation cannot be negative. A standard deviation of 0 means that every data value is the same number; hence it is the most clustered set possible. There is no upper limit on how big the standard deviation can be.

If needed, replace "larger" with "large". And if needed, replace "smaller" with "small". I think it will depend on how your teacher wants you to word it. In all honesty, I'm not very good with grammar.

A larger standard deviation represents an overall wide spread of data points while a smaller standard deviation represents a closely clustered set of points.

The term "standard deviation refers to a measurement of the data's dispersion from the mean.

A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

The standard deviation cannot be negative, so keep that in mind. The most tightly clustered set of data is one with a standard deviation of 0, which denotes that all the data values are the same.

The size of the standard deviation has no upper bound.

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Answer:

here is the answer

hope it helps u

happy to help

stay safe and healthy

x=90(being adjacent angle)

now ,

x+30=180(being alternate angle)

x=180-30

x=150#

i think my answer ia wrong sorry -_-

Answer:

x=90

Step-by-step explanation:

x is on a straight line with 90 degrees (given angle measure angle)

you should do 180-90=90 to find that angle x is 90 degrees.

Answer:

7/14, so 50%

Step-by-step explanation:

In 90 minutes, she would have created 36 drawings.

The first step is to establish a pattern between time and the number of drawing that Frankita creates.

When the question is studied, it can be deduced that every 15 minutes the rate of increase in drawing is (previous drawing + (1 + rate of increase of previous drawing.

Drawing created in 30 minutes = 15 + 2 = 17

Drawing created in 45 minutes = 17 + ( 1 + 2) = 20

Drawing created in 60 minutes = 20 + (3 + 1 ) = 24

Drawing created in 75 minutes = 24 + (4 + 1) = 30

Drawing created in 90 minutes = 30 + (5 + 1) = 36

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The area of the trapezoid in the given image is: 49 cm².

A trapezoid can be described as a quadrilateral that has four sides, whereby one pair of opposite sides are parallel to each other.

The area of a trapezoid is calculated using the formula, Area = 1/2 × (a + b) × h, where:

a and b represents lengths of the parallel sides of the trapezoid

h = height of the trapezoid.

Given the parameters for the trapezoid as:

a = 6 cm

b = 8 cm

h = 7 cm

Plug in the values into Area = 1/2 × (a + b) × h:

Area of trapezoid = 1/2 × (6 + 8) × 7

Area of trapezoid = 1/2 × (14) × 7

Area of trapezoid = 7 × 7

Area of trapezoid = 49 cm²

Thus, the area of the trapezoid in the given image is: 49 cm².

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Considering the definition of an inequality, the number of people who can go to the amusement park is 3.

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

An inequality contains one or more unknown values ​​called unknowns, in addition to certain known data.

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

In this case, you know that:

Being "p" the number of people who can go to the amusement park, the inequality that expresses the previous relationship is

$9.75 + $16.25×p ≤$65

Solving:

$16.25×p ≤$65 - $9.75

$16.25×p ≤$55.25

p ≤$55.25÷ $16.25

p≤ 3.4

Finally, the number of people who can go to the amusement park is 3.

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Answer:

(-1,1)

Step-by-step explanation:

look where the two equations intercept that is usually the answer

Answer:

D

Step-by-step explanation:

When you reflect the point it goes to point (-2,5).  From that point, go 4 left and 8 down.  That gets you to (-2,-3)

Using a calculator, the critical value for the t-distribution with a confidence level of 99% and 49 df is of Tc = 2.4049.

It is found using a calculator, with two inputs, which are given by:

In this problem, the inputs are given as follows:

Hence, using a calculator, the critical value for the t-distribution with a confidence level of 99% and 49 df is of Tc = 2.4049.

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The results of the division of polynomials are given as follows:

Considering that x² - 9 is the subtraction of perfect squares, we have that:

x² - 9 = (x - 3)(x + 3)

Hence the division is:

h(x) = (x - 3)(x + 3)/(x - 3) = x + 3.

Considering that x² - 16 is the subtraction of perfect squares, we have that:

x² - 16 = (x - 4)(x + 4)

Hence the division is:

h(x) = (x - 4)(x + 4)/(x - 4) = x + 4.

Considering that the roots of x² - 4x + 3 are x = 1 and x = 3, we have that:

x² - 4x + 3 = (x - 1)(x - 3).

Hence the division is:

h(x) = (x - 1)(x - 3)/(x - 3) = x - 1.

Considering that the roots of x² + 4x - 5 are x = -5 and x = 1, we have that:

x² + 4x - 3 = (x + 5)(x - 1).

Hence the division is:

h(x) = (x + 5)(x - 1)/(x - 1) = x + 5.

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Answer:

315 students

Step-by-step explanation:

Based on the question, we can deduce:

[tex] \frac{4}{5} = 80percent \: passing \: rate[/tex]

Next we can find out the total number of students who sat for the examination.

80% = 252

[tex]1percent \: = \frac{252}{80} \\ 100 \: percent = \frac{252}{80} \times 100 = 315 \: students [/tex]

Two or more equations using the same variable are referred to mathematically as a "system of linear equations." These equations' solutions serve as a representation of the intersection of the lines.

Two equations are presented here:

1) x + 3y = 7

2) 2x + 4y = 8

First, in the first equation, we want to isolate x:

x + 3y = 7

x = 7 -3y

In order to create an equation that depends just on the variable y, we must now b) swap it out in the second equation.

2x + 4y = 8

2(7 - 3y) + 4y = 8

The value of y is now determined by solving this equation in step (c).

14 - 6y + 4y = 8

14 - 2y = 8

-2y = 8 - 14 = -6

y= 6/2= 3

d) With the value of y now available, we can change the equation we obtained in step a) by substituting it.

x = 7 - 3y

x = 7 - 3*3 = 7 - 9 = -2

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I understand that the question you are looking for is:

Find the solution to the system of equations, x + 3y = 7 and 2x + 4y = 8.

1. Isolate x in the first equation: x = 7 − 3y

2. Substitute the value for x into the second equation: 2(7 − 3y) + 4y = 8

3. Solve for y:

14 − 6y + 4y = 8

14 − 2y = 8

−2y = −6

y = 3

4. Substitute y into either original equation: x = 7 − 3(3)

5. Write the solution as an ordered pair: