The radius of a circle is 2.6 in. Find the circumference
to the nearest tenth.

Answer:

Step-by-step explanation:

1,-5

Answer:

-5+√2 and -5-√2

Step-by-step explanation:

With the quadratic formula:

\(\displaystyle x^2 + 10x + 25 = 2\\\\x^2+10x+23=0\\\\x=\frac{-10\pm\sqrt{10^2-4(1)(23)}}{2(1)}=\frac{-10\pm\sqrt{100-92}}{2}=\frac{-10\pm\sqrt{8}}{2}=\frac{-10\pm2\sqrt{2}}{2}=-5\pm\sqrt{2}\)

We can also complete the square (which is faster):

\(x^2+10x+25=2\\(x+5)^2=2\\x+5=\pm\sqrt{2}\\x=-5\pm\sqrt{2}\)

Answer:

1,480

Step-by-step explanation:

89x20=1,780 total snacks

20x15=300 snacks sold

1,780-300=1,480 snacks left

Consider that the given figure depicts two intersecting lines, thereby forming 4 angles.

These angles can be referred to as the upper angle (U), lower angle (L), left side angle (LS), and right side angle (RS).

According to the given information,

Theorem: The vertically opposite angles formed by the intersection of two lines are always equal.

It follows that,

Theorem: The sum of angles constituting a straight line is always 180 degrees.

It follows that,

Now that we know the values of the variables 'x' and 'y', the values of the angles can be obtained as follows,

The probability of opening to a page that is either 8 or 12 is 2/13.

The probability of opening to a page that is either 8 or 12 can be found by adding the individual probabilities of opening to page 8 and page 12. Since there are 13 pages in total, each page has a 1/13 chance of being opened. Therefore, the probability of page number 8 is 1/13, and the probability of opening to page 12 is also 1/13.

The probability of opening to page 8 or page 12 is the sum of the individual probabilities:

P(opening to page 8 or page 12) = P(opening to page 8) + P(opening to page 12)

P(opening to page 8 or page 12) = 1/13 + 1/13

P(opening to page 8 or page 12) = 2/13

Therefore, the probability of opening to a page that is either 8 or 12 is 2/13 or about 0.1538

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Answer:

If the homeowner helps the roofer it will take 4 days to roof the house.

Step-by-step explanation:

Given that a homeowner estimates that it will take 11 days to roof his house, while a professional roofer estimates that he could roof the house in 6 days, to determine how long it will take if the homeowner helps the roofer the following calculation must be done:

1/6 + 1/11 = X

0.1666666 + 0.09090909 = X

0.25 = X

1/4 = X

Therefore, if the homeowner helps the roofer it will take 4 days to roof the house.

It's asking  would not be a solution soo

(-10, -9) as you can see

You're welcome thank me later

Answer:

b x h

Step-by-step explanation:

Answer:

True - Keep the first fraction the same then flip to solve the MULTIPLICATION problem

Step-by-step explanation:

Answer:

It would be A, True - Keep the first fraction the same then flip to solve the MULTIPLICATION problem.

Step-by-step explanation:

Answer:

8.9 i think

Step-by-step explanation:

Answer:

8.95

Step-by-step explanation:

Since 3 is less than 5 just take 3 off.

The points that are a horizontal distance of 6 and a vertical distance of 2 from the origin are (6, 2), (-6, 2), (6, -2), (-6, -2)

Points are undefined terms in geometry, however they are used to represent the coordinate or location of items in a coordinate plane

The features of the point are given as:

Horizontal distance = 6

Vertical distance = 2

The above means that:

x = 6

y = 2

The points are then represented as:

(x, y) = ±(x. y)

So, we have

(x, y) = ±(6, 2)

When the above equation is expanded, we have

(x, y) = (6, 2), (-6, 2), (6, -2), (-6, -2)

Next, we plot the points on a coordinate plane

See attachment for the graph of the plane

Hence. the points that are a horizontal distance of 6 and a vertical distance of 2 from the origin are (6, 2), (-6, 2), (6, -2), (-6, -2)

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Answer:

Step-by-step explanation:

1st 10 days - 8 GB

2nd 10 days - 8 GB

3rd 10 days - 8 GB

________________

30 days    -  24 GB

Step-by-step explanation:

the item angle on the left line is also 130 degrees, as these 2 equally long lines create a triangle with 2 equal sides.

the two internal angles are the complement from 130 to 180 degrees, as every straight line stands for 180 degrees.

so, 180-130 = 50 degrees.

=> both internal angles are 50 degrees.

that makes the angle at the bottom tip of the triangle the complement of both 50 degree angle to 180, because the sum of all angles in a triangle is always 180 degrees.

so, 180 - 50 - 50 = 80 degrees.

and the outside angles of that triangle tip angle are each half of the complement of these 80 degrees to 180 (resistive to the bottom horizontal line).

180 - 80 = 100

100/2 = 50

so, both outside bottom angles are again 50 degrees.

Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

Answer:

Results below

Step-by-step explanation:

Equation of the line

A straight line can be written in the form:

y = ax + b

Where a and b are constants and x is the independent variable.

The essential condition for an equation to be linear is that the x must be powered to the exponent 1, which is usually not written.

From the equations presented in the table:

\(y = x^1+2\) is linear because the exponent of the x is 1

y = 5(x+2) = 5x + 10 is linear with a=5 and b=10.

y = x is linear with a=1 and b=0

\(y = x^2+1\) is not linear because the exponent of x is 2

\(y = x(x) = x^2\) is not linear because the exponent of x is 2

The table below summarizes the results

EXPLANATION

Let's consider the facts:

The surface of a rectangular prism is given by the following equation:

Area= bh * L( S1 + S2 + S3)

Now, considering the sides:

Base = b = 8inches

Height = h = 6 inches

Length = L = 15 inches

Slope = 10 inches

Computing b*h = 8 inches * 6 inches = 48 in^2

Now, we need to find S1, S2 and S3

S1 = Base = 8 inches

S2 = Slope = 10 inches

S3 = Slope= 10 inches

So the Area is:

Area= 48 + 15*(8 + 6 + 10)

Adding terms:

Area = 48 + 15*(24)

Multiplying terms:

Area = 48 + 360

Adding terms:

Area = 408 in^2

The answer is 408 in^2

Answer:

Step-by-step explanation:

V = 3.9V

I = 0.12A

Ohm's Law, V = IR

Rearranging Ohm's Law, R = V/I

R = 3.9/0.12 = 32.5Ω

There are 2 sides per coin, and 3 flips, so 2^3 = 8 total items in the sample space

Tracing each branch from left to right will help form the 8 different outcomes. For instance, if you go along the upper most path of the upper tree, then you'll get HHH meaning you got 3 heads in a row. The next branch down would be HHT, and so on.

The sum (A+B)(x) and difference (A-B)(x) of two quadratic functions A(x) and B(x) were found, along with their values for x=5, vertices, intercepts, and where they are increasing/decreasing.

To find (A+B)(x), we simply add the two functions:

(A+B)(x) = A(x) + B(x) = (\(-0.25x^2+20x\)) + (\(-0.19x^2+15.2x\)) = \(-0.44x^2\) + 35.2x

To find (A-B)(x), we simply subtract B(x) from A(x):

(A-B)(x) = A(x) - B(x) = (\(-0.25x^2+20x\)) - (\(-0.19x^2+15.2x\)) = \(-0.06x^2\) + 4.8x

When x=5, we can evaluate each expression:

(A+B)(5) = \(-0.44(5)^2\) + 35.2(5) = 60

(A-B)(5) = \(-0.06(5)^2\) + 4.8(5) = 12

To find the vertices and intercepts of the functions A(x) and B(x), we can use the vertex and intercept formulas for quadratic functions:

For A(x):

Vertex = (-b/2a, f(-b/2a)) = (-20/-0.5, A(20/-0.5)) = (40, 400)

x-intercepts: 0 = \(-0.25x^2\) + 20x, so x = 0 or x = 80

y-intercept: A(0) = 0

For B(x):

Vertex = (-b/2a, f(-b/2a)) = (-15.2/-0.38, B(15.2/-0.38)) = (40, 304)

x-intercepts: 0 = \(-0.19x^2\) + 15.2x, so x = 0 or x = 80

y-intercept: B(0) = 0

Both functions are decreasing for x < 40, and increasing for x > 40. The vertex (40, 400) is the maximum point for A(x), and the vertex (40, 304) is the maximum point for B(x).

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\((\stackrel{x_1}{5}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-7}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-7}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{5}}} \implies \cfrac{-7 -1}{3 -5} \implies \cfrac{ -8 }{ -2 }\implies 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{4}(x-\stackrel{x_1}{5})\)

\(y-1=4x-20\implies y=4x-19\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

Answer:

Explanation: Axis of symmetry is a vertical line that makes function symmetrical along either side:

In case of parabla function or:

We get axial symmetry where the first derivate is zero, and in fact, that is the x value for vertex:

Therefore:

And the corresponding y-value is:

Therefore vertex is at the point:

Answer:

(a) The unit circle is centered at (0,0) with a radius of 1.

(b) The equation of a circle of radius r, with a center located at (0,0):

x²+ y² = r².

(c) (i) P(1,0)

    (ii) P(0,1)

    (iii) P(-1,0)

    (iv) P(0,-1)

Step-by-step explanation:

Part (a)

The unit circle is centered at (0,0). This point is the origin.

The radius of the unit circle is 1

The term "unit" means "one", which describes the radius length.

=========================================================

Part (b)

The equation of the unit circle is x^2+y^2 = 1

The general equation of any circle is (x-h)^2+(y-k)^2 = r^2

In this case, the unit circle has center (h,k) = (0,0) and radius r = 1.

=========================================================

Part (c)

The following four points are on the unit circle

As shown below in the diagram. The idea is to plug each given coordinate into the equation from part (b), and solve for the missing variable.

For example, if we know x = 1, then...

x^2+y^2 = 1

1^2+y^2 = 1

1+y^2 = 1

y^2 = 1-1

y^2 = 0

y = sqrt(0)

y = 0

Meaning x = 1 leads to y = 0. So (x,y) = (1,0) is one point on the circle. The other parts are handled in a similar fashion.

Answer:

3/5 of an hour, 60 minutes, 2/3 of an hour

Step-by-step explanation:

Answer:25-10=15

Step-by-step explanation:

25-10

Answer:

9x^2 - 12x + 6 =0

work is pictured and shown

Based on the data recorded by Anna on Saturday, we can estimate the number of people expected to visit The Youth Wing on Sunday.

Let's calculate the proportion of visitors to The Youth Wing compared to the total number of visitors on Saturday:

\(\displaystyle \text{Proportion} = \frac{\text{Visitors to The Youth Wing on Saturday}}{\text{Total visitors on Saturday}} = \frac{382}{382 + 461 + 355}\)

Next, we'll apply this proportion to the total number of visitors on Sunday to estimate the number of people expected to go to The Youth Wing:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times \text{Total visitors on Sunday}\)

Now, let's substitute the values into the equation and calculate the estimated number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355}\)

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times 800\)

Calculating the proportion:

\(\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355} = \frac{382}{1198}\)

Calculating the estimated number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \frac{382}{1198} \times 800\)

Simplifying the equation:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx \frac{382 \times 800}{1198}\)

Now, let's calculate the approximate number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx 254\)

Therefore, based on the data recorded on Saturday, we can estimate that around 254 people should be expected to go to The Youth Wing on Sunday.

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Answer:

i Believe is is line b

Step-by-step explanation:

when you put all the lines on the graph they are all near line b

Answer: y=2x+4

Step-by-step explanation:

the line hits at 4 on the y axis and I did 2 rise, 1 run.

Answer: y = 2x+4

Step-by-step explanation:

The b-value (y-intercept; the value of y when x = 0) is 4.

The slope is rise over run, or the change in y over the change in x. The "rise" between two distinct points is 2 for every one change in space for the x-value. Thus, the slope (m) is 2.

Plug these values into the sample equation y = mx + b, and you should have your solution.