The diorama of a town uses the scale 5 inches : 10 miles. If the diorama measures approximately 60 inches across, what is the approximate measure of town?

The area of a circle as a function of its diameter is A(d) =  [tex]\frac{\pi d^2}{4}[/tex].

We have to find the area of a circle as a function of its diameter.

Let the diameter of the circle be d.

We know the formula,

Area of circle = [tex]\pi r^2[/tex]

Where,

r is the radius of the circle.

[tex]\pi[/tex]  = constant.

We know that,

Radius is equal to half the diameter of a circle.

Hence, we can write

r = d/2

Where d is the diameter of the circle.

Hence, we can write,

Area of circle as a function of its diameter = A(d) = [tex]\pi (\frac{d}{2})^2 = \frac{\pi d^2}{4}[/tex].

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Answer:

3

Step-by-step explanation:

According to this graph, the global surface temperature trend from 1910 to 1950: C. on average, it rose about 0.5 degrees between 1910 and 1950.

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

By critically observing the graph of the average global surface temperature during the 20th century, we can logically deduce the following data points and statements:

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Answer:

Step-by-step explanation:

I took the quiz! :)

Answer:

Your answer is 2

Step-by-step explanation:

If g(x) = -5x - 4 and g(x) = 1 then -5x - 4 = 1.

Given this, we can now solve for x by adding 4 to both sides and then dividing both sides by -5 to isolate the value of x.

                                -5x-4=1

                            -5x-4+4=1+4

                                -5x=5

                                  5    5

                                  5     5

                                   x=-1

Answer:

24

Step-by-step explanation:

so edge length means you count how many cubic units you can see when looking from length width and height

since the edge length is four, you multiply that by 3 (length width and height are all 4)  and that would be 12

since there are two you do two times 12= 24 (im not 100% sure cuz I haven't learned this yet)

The equation is | x - 4 | = 3

Here, we are given that x represents all numbers that are at a distance of 3 units from 4.

Now, the distance of x from 4 can be in the positive direction or in the negative direction.

This can be represented by an absolute value function as follows-

| x - 4 | = 3

we can check our result by solving the given equation

| x - 4 | = 3 can be written as-

x - 4 = 3  or  -x + 4 = 3

x = 7 or x = 1

Both, x = 1 and 7 are at a distance of 3 units from 4.

Thus, | x - 4 | = 3 is the absolute value function.

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After the solution of the expression 3x/2-|x| ≤ 1 the interval notation is:

[tex]\left(-2, \frac{1}{2}\right] \cup(2, \infty)[/tex]

So, get x, by simplification of both sides of the inequality before isolating the variable.

Form of Inequality:

Interval notation:

(Refer to the graph diagram given below)

Therefore, after the solution of the expression 3x/2-|x| ≤ 1 the interval notation is:

[tex]\left(-2, \frac{1}{2}\right] \cup(2, \infty)[/tex]

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Answer:

the one with the answer -10

Step-by-step explanation:

Answer:

So you do -8 + -2 which equals -10. it is the 3rd answer

Step-by-step explanation:

The solution of the system of the equations is gotten using substitution method and the values of the unknown are x = -8 and y = - 4

Given data

x + 5y = -28

-x + y = 4

From -x + y = 4

step 1 make y the subject of formula to have

y = 4 + x

step 2 substitute y = 4 + x into the equation x + 5y = -28

x + 5y = -28

x + 5 ( 4 + x) = -28

x  + 20 + 5x = -28

x + 5x = -28 - 20

6x = -48

x = -8

step 3 substitute x = -8 into  y = 4 + x

y = 4 + x

y = 4 - 8

y = - 4

Hence we can say that The solution of the system of the equations is gotten using substitution method and the values of the unknown are x = -8 and y = - 4

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Answer:

A. By the time Grandma arrives, Chloe will have cleaned her room.

Step-by-step explanation:

<3

Answer:

D. Caleb felt calm because he knows the solution to his problem.

Step-by-step explanation:

In the sentence "Caleb felt calm because he knows the solution to his problem.", 'felt' and 'knows' are the verbs. Both of these verbs describe Caleb in one situation, so they have to be in the same tense.

The Red Savina Habanero is hotter than the Thai Pepper with a number of 6. 1 times

A ratio can be defined as the comparison of two or more numbers on the basis of  their sizes in relation to each other.

It also indicates how many times one number contains another.

Given that;

To determine the ratio, we have to divide Red Savina Habanero hotness rating by Thai Pepper  hotness rating

=  4.6 x 10^5 /  7.5 x 10^4

= 6. 1 times

Thus, the Red Savina Habanero is hotter than the Thai Pepper with a number of 6. 1 times

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Answer:

What is the question?

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

2y + 50 + y + 10 = 180

3y + 60 = 180 ( subtract 60 from both sides )

3y = 120 ( divide both sides by 3 )

y = 40

2y = 2 × 40 = 80

y + 10 = 40 + 10 = 50

Answer:

y = 40

2y = 80

y + 10 = 50

Step-by-step explanation:

The sum of the angles of a triangle is 180°

Using values given,

2y + (y + 10) + 50 = 180

2y + y + 10 + 50 = 180

3y + 60 = 180

3y = 180-60 = 120

y = 120/3 = 40

2y = 80

y + 10 = 40 + 10 = 50

B. Statement: 2. m 1 + m 4 = 180°; Reason: 2. definition of supplementary angles. Angle 1 and angle 3 are vertically opposite angles because, for this reason, they are equal.

Given details in the question are as follows:

Two lines are interesting to each other at one point and make 4 angles which are as follows: Angle 1,2,3,4

If two lines intersect at a point, then the vertically opposite angles are always equal.

When two lines intersect at any point, the vertically opposite angles are equal and are known as the vertically opposite angles.

This is because any two pairs of adjacent angles will be supplementary pairs.

B. Statement: 2. m 1 + m 4 = 180°; Reason: 2. definition of supplementary angles

A linear pair is a pair of adjacent, supplementary angles. Adjacent means next to each other, and supplementary means that the measures of the two angles add up to equal 180°

Supplementary angles are two angles whose measures add up to 180 degrees.

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Answer:

Commutative Property

Step-by-step explanation:

Here is the completed table:

Name of the food                         Price with 15% profit

Apple (whole)                                    $9.20

Banana  (whole)                                 $8.34

Chocolate  (whole)                             $6.90

Chocolate chip ( 1 dozen)                   $5.46

Oatmeal ( 1 dozen)                               $5.75

Pecan  (whole)                                       $11.50

Pumpkin  (whole)                                    $13.80

Snickerdoodle  ( 1 dozen)                       $4.89

Vanilla  (whole)                                      $5.18

Percentage is used to represent statistics. Percentage means to rewrite a number per hundred. To convert a number to percentage, multiply the number by 100. The sign that is used to represent percentage is %.

Profit is the excess of the cost of production over the price at which the good is sold.

Profit = ( 1 + targeted profit) x cost

= (1 + 0.15) x cost

1.15 x cost

Profit on Apple (whole) = 1.15 x 8 = $9.20

Profit on Banana  (whole) = 1.15 x 7.25 = $8.34

Profit on Chocolate  (whole) = 1.15 x 6 = $6.90

Profit on Chocolate chip ( 1 dozen) = 1.15 x 4.75 = $5.46

Profit on Oatmeal ( 1 dozen) = 1.15 x 5 = $5.75

Profit on Pecan  (whole) = 1.15 x 10 = $11.50

Profit on Pumpkin  (whole) = 1.15 x 12 = $13.80

Profit on Snickerdoodle  ( 1 dozen)= 1.15 x 4.25 =$4.89

Profit on Vanilla  (whole) = 1.15 x 4.5 = $5.18

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The measure of two angles are 39 degree and 69 degree. By the Triangle Sum Theorem, the sum of all angles in a triangle is 180 degree, so the final angle is 72 degree. Therefore, the largest angle in the triangle is 72 degree.

According to the triangle's "angle sum property," a triangle's interior angles add up to 180°.

Given:

[tex]The\;sum\;of\;two\;angles\;in\;a\;triangle\;is\;\frac{6}{5}\;of\;a\;right\;angle\;is,\;\frac{6}{5} \times 90^{\circ} = 108^{\circ}[/tex]

[tex]let\;x\;is\;the\;measure\;of\;the\;first\;angle[/tex]

[tex]one\;of\;these\;two\;angles\;is\;30\;larger\;than\;the\;other,\;is\;x+30=108[/tex]

We know that sum of two angles is 108

[tex]x+x+30=108^{\circ}[/tex]

[tex]2x+30=108[/tex]

[tex]2x=108-30[/tex]

[tex]2x=78[/tex]

[tex]x=39^{\circ}[/tex]

Second angle y is,

[tex]y=x+30[/tex]

[tex]y=39+30[/tex]

[tex]y=69^{\circ}[/tex]

By the Triangle Sum Theorem, the sum of all angles in a triangle is 180 degree,

Third angle z is,

[tex]x+y+z=180[/tex]

[tex]39+69+z=180[/tex]

[tex]108+z=180[/tex]

[tex]z=180-108[/tex]

[tex]z=72^{\circ}[/tex]

[tex]By\;comparing\;the\;angles\;39^{\circ},\;69^{\circ}\;and\;72^{\circ}, 72^{\circ}\; is\;greater[/tex]

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The cat ran 3 miles in one hour

A car runs 3/5 of a mile in 2/10

The number of miles ran in one hour can be calculated as follows

3/5= 2/10

x= 1

Cross multiply

2/10x= 3/5

x= 3/5 ÷ 2/10

= 3/5 × 10/2

= 3

Hence the car ran 3 miles in 1 hour

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Using translation concepts, the graphs of f(x) = |x| and g(x) = |x - 2| + 1 are given at the end of the answer.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s range(involving values of y) or in it’s domain(involving values of x). Examples are shift left, shift right, shift down, shift up, vertical stretching, horizontal stretching, vertical compression, horizontal compression, reflection over the x-axis, reflection over the y-axis, and rotations by a determined amount(in degrees). All these translations have predetermined rules that we apply to the figures.

For this problem, the parent and translated functions are given, respectively, by:

The translations are given as follows:

Considering these two translations, the functions are plotted in the graph given at the end of the answer, with:

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Using the critical value, we should reject the null.

So,

Therefore, using the critical value, we should reject the null.

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Answer:

True, True, False, False, True

Step-by-step explanation:

X, Y, and Z are on the same line.

Point W is on line I, not line M.

YW and YD aren't on the same line.

YX and YZ are on the same line.

The side length of rug is 6.16 ft which is not a rational number.

Area of square rug = 38 ft square

Area of square = side * side

area of square = area of square rug

side*side=38

(side)^2= 38

side=√38

side=6.16

Hence, The side length of rug is 6.16 ft which is not a rational number.

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The equation of a line that passes through the point ( − 18 , 2 )with slope 1 will be

y=x+20

equation of a line that passes through the point ( x₁ ,y₁ )with slope m is

y-y₁ = m(x-x₁)

y-2=1(x-(-18))

y-2=x+18

y=x+20

coordinate geometry is a system that makes use of one or greater numbers, or coordinates, to uniquely determine the placement of the factors or other geometric factors on a manifold inclusive of Euclidean space.

The order of the coordinates is full-size, and they may be once in a while diagnosed through their function in an ordered tuple and sometimes via a letter, as in "the x-coordinate".

The coordinates are taken to be actual numbers in basic arithmetic, however may be complicated numbers or elements of a extra abstract system together with a commutative ring. the usage of a coordinate device permits troubles in geometry to be translated into issues approximately numbers and vice versa; that is the idea of analytic geometry

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The range did usage vary​ over from 823.81 to 2461.97 kilowatt-hours.

Kilowatt-hours are units of energy that represent one kilowatt of electricity for one hour (SI symbol: kWh or kWh; typically abbreviated as kWh). It is 3.6 megajoules in terms of standard units (MJ). For electrical energy supplied to customers by electric utilities, kilowatt-hours are a typical billing unit. The abbreviation "kWh," which is derived from the letters kilowatt and hour, stands in for the kilowatt-hour and is a commonly used abbreviation. In addition to being often used in commercial, academic, and scientific publications as well as in the media, it is also frequently employed by electric utility companies to bill consumers for energy delivered to them. One kilowatt (kW) sustained for one hour (multiplied by one) is equivalent to one kilowatt-hour, a composite unit of energy.

$64.34=6434 cents

$192.28=19228 cents

So 6434 cents  correspond to 6434/7.81

=823.81 kilo watt hours

19228 cents=19228/7.81

=2461.97 kilowatt-hours

So Range is 823.81 to 2461.97 kilowatt-hours.

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As per kinematic theory, when any object is moving on a rough surface, the friction force will act on the surface. And the friction force is in the opposite direction to the motion of the object.

Using kinematic formulas, the acceleration speed can be calculated:

[tex]v^{2} = u^{2} +2as[/tex]

As per the given data,

The initial speed of the skater [tex](u) = 12m/s[/tex]

The width of the pitch on the rough ice [tex](s) = 7.0 mt[/tex]

The final speed of the skater [tex](v) = 6.0m/s[/tex]

Substituting these values in the kinematic formula, we get

[tex]a = \frac{v^{2}-u^{2} }{2s}[/tex]

[tex]a = \frac{6^{2}-12^{2} }{14}[/tex]

[tex]a=- 7.71 m/s[/tex]

Therefore the calculated acceleration on the rough ice is [tex]-7.71m/s[/tex]

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Answer:

[tex]8\left(u-v\right)^2-8\left(u-v\right)[/tex]

Step-by-step explanation:

[tex]\left(u-v\right)\left(u-v\right)=\left(u-v\right)^2\\\left(u-v\right)^2\cdot \:8-8\left(u-v\right)\\=8\left(u-v\right)^2-8\left(u-v\right)[/tex]

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Answer:

Step-by-step explanation:

0.4375

Answer:

6.25%of 112 is 7

Step-by-step explanation:

hope it helps you