What is the center of the circle shown below?

A. B

B. A

C. Y

D. AB

If you don't specify any restrinction on that number, there actally are infinitely many: real number are dense, which means that you can always find infinitely many numbers between any pair of real numbers, no matter how close.

Answer:

The upper right hand corner

Step-by-step explanation:

One big clue to this is to note how the inequalities are x < 0 and x >= 2 so there is a gap of x values that are left out (x = 1 for instance). There will be NO graph points at all for any values in this gap. The only graph with such a gap is the upper right hand corner. So that is why this is the answer.

Another reason is that y = (-4/5)x-3 is a line that goes through (0,-3). Plug in x =0 and you'll get y = -3 when you simplify. There is an open hole here due to "x < 0". So x cannot actually equal zero for this part. At the same time, plug in x = 2 into the second piece and you get y = -4 as a result. So (2,-4) is on the second graph as a closed hole. The upper right hand corner has both of these points in the proper location.

To convert 5 1/3 to an improper fraction, multiply the whole number part by the denominator and then add the numerator.

To convert the mixed number 5 1/3 to an improper fraction, you need to multiply the whole number part (5) by the denominator of the fraction part (3), and then add the numerator of the fraction part (1). The result becomes the numerator of the improper fraction, and the denominator remains the same. So, 5 1/3 as an improper fraction is 16/3.

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Answer:

Maximum revenue = 1000 thousands of dollars.

Explanation:

We have the revenue equation [tex]r(x)=10x - 0.025x^2[/tex], where x is measured in thousands of toys produced, and r(x) is measured in thousands of dollars.

At maximum revenue the derivative of equation is zero

So, [tex]r'(x)=0\\ \\10 - 0.025*2x=0\\ \\ x=10/0.05\\ \\ x=1000/5=200[/tex]

So maximum revenue is when 200 thousands of toys are produced.

Maximum revenue, [tex]r(200)=10*200 - 0.025*200^2\\ \\ r(200)=1000[/tex]

Maximum revenue = 1000 thousands of dollars.

Hi Jd444976,

Answers to find in the answer graph.

Distance for each sport:

He Ran 5 Miles

He Rode Bike For 10 Miles.

Time It took to do each sport:

Running - 5 / 8 = 0.625 =  37.5 minutes

Cycling - 10 / 20 = 0.5 = 30 minutes

0.625 + 0.5 = 1.125 = 67.5 minutes

Let rental rate be denoted by 'y' and years be denoted by 'x'

coordinates become: (2003,551) (2013,730)

Rental rate in  = $551(y1)

Rental rate in =$730(y2).

So, change in rate = [tex]730-551=179[/tex]

Years given are 2003(x1) and 2013(x2) so, change is [tex]2013-2003=10[/tex]

Here, to find the rate we use the slope formula:

[tex]\frac{y2-y1}{x2-x1}[/tex]

Now putting the values of coordinates in the formula we get:

[tex]\frac{730-551}{2013-2003}[/tex]

= [tex]\frac{179}{10}[/tex]

= 17.9

So, the rate of change for rent is $17.9

Answer:

  see below

Step-by-step explanation:

The following definitions apply:

  if p, then q . . . . conditional statement

  if q, then p . . . . converse

  if ~p then ~q . . . inverse

  if ~q then ~p . . . contrapositive

You have ...

  p = "it is October 31"

  q = "it is Halloween"

(a) The converse is ...

  If it is Halloween, then it is October 31.

(b) The inverse is ...

  If it is not October 31, then it is not Halloween.

(c) The contrapositive is ...

  if it is not Halloween, then it is not October 31.

Answer:

a1= -2/9

a2= 4/3

a3= 6

Step-by-step explanation:

[tex]a_n = 3a_{n - 1} + 2[/tex]

a_4= 20

lets plug in 4 for n

[tex]a_4 = 3a_{4 - 1} + 2[/tex]

[tex]20= 3a_3+ 2[/tex]

Subtract 2 from both sides and then divide by 3

18 = 3a_3

[tex]6=a_3[/tex]

lets plug in 3 for n and use a3=6 to find a2

[tex]a_3 = 3a_{3 - 1} + 2[/tex]

[tex]6= 3a_2+ 2[/tex]

Subtract 2 from both sides and then divide by 3

4 = 3a_2

[tex]\frac{4}{3}=a_2[/tex]

lets plug in 2 for n and find out a1

[tex]a_2 = 3a_{2 - 1} + 2[/tex]

[tex]\frac{4}{3}= 3a_1+ 2[/tex]

Subtract 2 from both sides and then divide by 3

[tex]\frac{-2}{3}= 3a_1[/tex]

[tex]\frac{-2}{9}=a_1[/tex]

The width is 42 inches. If you add 42+42+30+30, it equals 144. (l+l+w+w)

Answer:

30 inches

Step-by-step explanation:

To correctly evaluate this we have to give algebraic values to both the width and the length, so the width would be X, and the legnth is 12 inches larger than the length so this would be expressed by: x+12, so the equation of the perimeter would be:

[tex]P=2W+2L[/tex]

[tex]P=2(x)+2(x+12)[/tex]

[tex]P=2x+2x+24[/tex]

Now you just evaluate the equation for perimeter=144.

[tex]144=2x+2x+24[/tex]

[tex]144=4x+24[/tex]

[tex]120=4x[/tex]

[tex]x=\frac{120}{4}[/tex]

[tex]x=\frac{120}{4}=30[/tex]

So the width of the rectangle is 30 inches.

One pound of berries each. 8 divided by 8 is 1 Hope this helps!

The given problems on subtraction is solved as follows:

a. 1.8 - 0.9 = 0.9

b. 41.84 - 0.8 = 41.04

c. 341.84 - 21.92 = 319.92

d. 5.182 - 0.09 = 5.092

e. 741 - 3.91 = 737.09

The detailed explanation is as follows:

a. 1.8 - 0.9 = 0.9

Explanation: When you subtract 0.9 from 1.8, you get 0.9. This is a straightforward subtraction of two decimal numbers.

b. 41.84 - 0.8 = 41.04

Explanation: When you subtract 0.8 from 41.84, you get 41.04. Again, this is a simple subtraction of decimals.

c. 341.84 - 21.92 = 319.92

Explanation: Subtracting 21.92 from 341.84 results in 319.92. This is a standard decimal subtraction.

d. 5.182 - 0.09 = 5.092

Explanation: Subtracting 0.09 from 5.182 gives you 5.092. Decimal subtraction works the same way as whole number subtraction.

e. 741 - 3.91 = 737.09

Explanation: When you subtract 3.91 from 741, you get 737.09. This involves carrying over from the hundredth's place to the tenth's place.

In all these calculations, it's essential to align the decimal points and perform the subtraction as you would with whole numbers, taking care to carry over as needed when subtracting decimal places.

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The point-slope form of a line:

[tex]y-y_0=m(x-x_0)[/tex]

We have

[tex]m=-\dfrac{1}{4}\\\\(-2,\ 9)\to x_0=-2,\ y_0=9[/tex]

Substitute

[tex]y-9=-\dfrac{1}{4}(x-(-2))\\\\y-9=-\dfrac{1}{4}(x+2)[/tex]

You must multiply the numerators and denominations of each fraction

Hope this helped. If there is anything else l can help with, just let me know!

To multiply two fractions, multiply the numerator by the numerator and the denominator by the denominator.

A fraction can be defined as a numerical quantity that isn't a whole number.

Hence, a fraction is simply a part of a whole number.

Generally, a fraction comprises two (2) main parts and these include:

Mathematically, a fraction is represented as:

[tex]Fraction \;A = \frac{1}{2} \\\\Fraction \;B = \frac{2}{3}[/tex]

In order to multiply the two fraction, we would multiply the numerator by the numerator and the denominator by the denominator:

[tex]Fraction \;A \times Fraction \;B = \frac{1}{2} \times \frac{2}{3} \\\\Fraction \;A \times Fraction \;B = \frac{1\times 2}{2 \times 3} \\\\Fraction \;A \times Fraction \;B = \frac{2}{6} \\\\Fraction \;A \times Fraction \;B = \frac{1}{3}[/tex]

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if the blue radius below is perpendicular to the green chord and the segment AB is 6.5 units long what is the length of the chord? the correct answer is:

13 units

Answer:

If the radius is perpendicular to a chord, the length of the chord is 13 units (option A).

Step-by-step explanation:

AB=6.5 units

When a radius is perpendicular to a chord divides it into to equal parts, then:

AB=BC=6.5 units

Chord: AC=AB+BC

Chord: AC=6.5 units+6.5 units

Chord: AC=13 units

Answer:

  31%

Step-by-step explanation:

Find the ratio and convert it to a percentage.

  (5 miles)/(16 miles) × 100% = 0.3125 × 100% = 31.25% ≈ 31%

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have (-6, -8), (12, 7).

Substitute:

[tex]m=\dfrac{7-(-8)}{12-(-6)}=\dfrac{7+8}{12+6}=\dfrac{15}{18}=\dfrac{5}{6}[/tex]

The slope-point form:

[tex]y-y_1=m(x-x_1)[/tex]

We have m = 5/6 and (12, 7).

Substitute:

[tex]y-7=\dfrac{5}{6}(x-12)[/tex]

The slope-intercept form:

[tex]y=mx+b[/tex]

[tex]y-7=\dfrac{5}{6}(x-12)\\\\y-7=\dfrac{5}{6}x-\dfrac{5}{6}\cdot12}\\\\y-7=\dfrac{5}{6}x-\dfrac{5}{1}\cdot2\\\\y-7=\dfrac{5}{6}x-10\qquad|+7\\\\y=\dfrac{5}{6}x-3[/tex]

Graph the inequality by finding the boundary line, then shading the appropriate area.

C.

The linear inequality shown on the graph is x − y ≤ 2. Correct option is c.

A linear inequality represents a region on the coordinate plane. The inequality may be of the form "y ≤ mx + b," "y ≥ mx + b," "y < mx + b," or "y > mx + b," where m is the slope and b is the y-intercept of the line.

To identify the correct linear inequality from the graph, look for the shaded region (if any) and the direction of the shading. The shading indicates the solution region of the inequality. If the shaded region is above the line, it represents "y > mx + b" or "y ≥ mx + b" depending on whether the line is solid or dashed, respectively. If the shaded region is below the line, it represents "y < mx + b" or "y ≤ mx + b" depending on whether the line is solid or dashed, respectively.

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Answer:

B) Circle

Step-by-step explanation:

What we will do is to define all the term, then we will now pick the correct option

Angle :  An angle can simply be define as a point where two straight line meets.

Arc : An arc is a curved line which formed a circle or  part of the circumference of a circle

Circle : A circle is an arc that goes round a central points. A circle subtends a full angle of 360°

Line Segment: A line segment is the shortest distance between two points, or simply put a line that connects to points or joins two points together.

From the above definitions, we can deduct that an arc that subtends a full angle of 360 degree is called a circle.

If you have 1,000,000 $ and you spend 9,899 what does that =

1,000,000 - 9,899 = 990,101

Answer: $990,101

Answers:

Explanation:

The given model provides a function that allows to approximate the population of Italy from 1990 through 2008 and predict the populations for other years, assuming validity of the same model over the coming years.

You only need to convert the year into the variable t and subsitute in the model.

1.  Calculate t for every year of your interest:

Year        t = year - 1990

1990             1990 - 1990 = 0 (initial value)

2000            2000 - 1990 = 10

2008            2008 - 1990 = 18

2015             2015 - 1990 = 25

2020            2020 - 1990 = 30

2. Calculate the population as per the model:

         [tex]p = 56.8e^{0.0015(10)}=57.7[/tex]

        [tex]p = 56.8e^{0.0015(18)}=58.4[/tex]

         [tex]p = 56.8e^{0.0015(25)}=59.0[/tex]

        [tex]p = 56.8e^{0.0015(30)}=59.4[/tex]

A plane is flat, so 2-Dimensional

94

for her average to be at least 90 then letting x be the score she requires on her next test, then

[tex]\frac{85+89+92+x}{4}[/tex] = 90 ( solve for x )

multiply both sides by 4 to eliminate the fraction

85 + 89 + 92 + x = 360

266 + x = 360 ( subtract 266 from both sides )

x = 94

To solve the problem, we set up a system of two equations to represent the given conditions. By solving this system, we found that 1200 children and 2000 adults went to the movies.

We can solve the problem using a system of linear equations. Let's denote the number of children as C and the number of adults as A. From the question, we know two things:

By solving this system, we can find the number of children and adults. Using the elimination method, multiply the first equation by 5 and subtract it from the second equation, we get 4A = 8000, so A = 2000. Substituting A = 2000 into the first equation gives us C = 1200, which means 1200 children went to the movies.

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Answer:

D. 4r + 3(10 – r) = 37

Explanation:

Let r be the roller coaster ride.  Since it costs 4 tickets, this gives us the expression 4r.

We know that there were 10 rides total; this leaves Michael 10-r for the number of times he rode the boat ride.

Each boat ride costs 3 tickets; this gives us the expression

3(10-r)

Together, this gives us

4r+3(10-r) = 37

Answer:

A ride on the roller coaster costs 4 tickets while the boat ride only costs 3 tickets. Michael went on the two rides a total of 10 times and spent a total of 37 tickets.

A table titled Ride Tickets, showing Times on the Ride, Tickets per Ride, and Total Tickets. The first row shows Roller Coaster, with r, 4 and 4 r. The second row shows Boat Ride, with 10 minus r, 3, and 3 left parenthesis 10 minus r right-parenthesis. The third row shows, Total, with 10, blank, and 37.

Which equation is true?

r(10 – r) = 10

r + (10 – r) = 4 + 3

4r[3(10 – r)] = 37 this is your answer

4r + 3(10 – r) = 37

Step-by-step explanation: