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what is the value of x assume that the line is tangent to the circle

Answer:

(26996, 42744)

Step-by-step explanation:

24% of 112,483 = 26,996

38% of 112,483 = 42,744

So the interval is (26996, 42744).

The interval for the number of people who are likely to want this restaurant in their city is (26996,42744) given that there are 112,483 people in the city and the percent of people who want a new restaurant is in the interval (24%, 38%). This is obtained by calculating the number of people corresponding to the percentages.

Given that, the percent of people who want a new restaurant is in the interval (24%, 38%) and there are 112,483 people in the city.

Thus, 24% of 112,483 = (24/100) × 112,483

                                   =26,996

Similarly, 38% of 112,483 = (38/100) × 112,483

                                         =42,744

The required interval for the number of people is (26996,42744).

Hence the interval for the number of people who are likely to want this restaurant in their city is (26996,42744) given that there are 112,483 people in the city and the percent of people who want a new restaurant is in the interval (24%, 38%).

Learn more about percentages here:

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Answer:

y=1/2x-10

Step-by-step explanation:

y-y1=m(x-x1)

y+5=1/2(x-10)

y=1/2x-10

Answer:

c

Step-by-step explanation:

Answer:

It is C

Step-by-step explanation:

Just did it

Answer:

Trapezoid

Step-by-step explanation:

Given quadrilateral has vertices at points A(-2,-1), B(3,13), C(15,5) and D(13,-11).

Find slopes of lines AD and BC:

[tex]\text{Slope}_{AD}=\dfrac{y_D-y_A}{x_D-x_A}=\dfrac{-11-(-1)}{13-(-2)}=\dfrac{-11+1}{13+2}=\dfrac{-10}{15}=-\dfrac{2}{3}\\ \\\text{Slope}_{BC}=\dfrac{y_C-y_B}{x_C-x_B}=\dfrac{5-13}{15-3}=\dfrac{-8}{12}=-\dfrac{2}{3}[/tex]

Since the slopes are the same, lines AD and BC are parallel.

Find slopes of lines ABD and CD:

[tex]\text{Slope}_{AB}=\dfrac{y_B-y_A}{x_B-x_A}=\dfrac{13-(-1)}{3-(-2)}=\dfrac{14}{5}\\ \\\text{Slope}_{CD}=\dfrac{y_D-y_C}{x_D-x_C}=\dfrac{-11-5}{13-15}=\dfrac{-16}{-2}=8[/tex]

Since the slopes are different, lines AB and CD are not parallel.

This means quadrilateral ABCD is trapezoid (two opposite sides - parallel and two another opposite sides - not parallel)

Answer:

the negative solution.  It is n = -2

Step-by-step explanation:

Let n represent the number.  Then n² - 16 = 6n, and, after rearrangement,

n² - 6n - 16 = 0.  This factors as follows:  

n² - 6n - 16 = 0 = (n - 8)(n + 2) = 0, and so n = 8 or n = -2.

We are to find the negative solution.  It is n = -2.

Answer:

[tex]27cm^{2}[/tex]

Step-by-step explanation:

You would use the equation, [tex]area = r^{2} sin(\frac{360}{n})/2[/tex]

r= radius, n = number of sides

ANSWER

[tex]882 \: {in}^{2} [/tex]

EXPLANATION

The area of the original rectangle is 72 in².

If the length and the width of the rectangle are changed by a scale factor of 3.5.

Then the area will change by

[tex]{3.5}^{2} = 12.25[/tex]

To get the area of the new rectangle is we multiply the area of the original rectangle by 12.25.

This implies that,the area of the new rectangle is

[tex]3.5 \times 72 = 882 \: {in}^{2} [/tex]

Therefore the area of the new rectangle is 882 square inches.

Answer:

No, correct option is (A) 117.5

Step-by-step explanation:

Interquartile range (IQR) measures the skewness using 50% of the data. It is the difference between the third quartile and the first quartile. i.e.

    IQR = Q₃ - Q₁

For finding the Interquartile Range of the data:

100, 120, 130, 188, 196, 220, 265, 300

(100, 120, 130, 188) (196, 220, 265, 300)

     2. Now finding the medians of both halves of the data that will be our First and Third Quartile of data.

So, Q₁ = 125 and   Q₃ = 242.5

Now, using IQR = Q₃ - Q₁

                           = 242.5 - 125  = 117.5

Hence, Correct option is Option (A).

Answer:

11 cm

Step-by-step explanation:

The rectangle width is 15 mm, which is the same as 1.5 cm.

The formula for P is P = 2W + 2L.  

Here, with W = 1.5 cm and L = 4 cm, P = 2(1.5 cm) + 2(4 cm) = 11 cm

Answer:

11

Step-by-step explanation:

15 millimeters is 1.5 cm

1.5 + 1.5 + 4 + 4 = 11 cm

Answer:

0.88

Step-by-step explanation:

P(x≥2) = P(x=2) + P(x=3) + P(x=4) + P(x=5) + P(x=6)

P(x≥2) = 0.21 + 0.35 + 0.21 + 0.06 + 0.05

P(x≥2) = 0.88

Or, you can calculate it as:

P(x≥2) = 1 - P(x=1) - P(x=0)

P(x≥2) = 1 - 0.09 - 0.03

P(x≥2) = 0.88

ANSWER

[tex](1,4)[/tex]

[tex](- \infty ,-3)[/tex]

EXPLANATION

The x-values for which the graph is below the x-values below the x-axis is the interval on which the graph is negative.

We can see from the graph that, for

[tex]x < - 3[/tex]

the function is negative.

This can be rewritten as:

[tex] (- \infty ,-3)[/tex]

Also for

[tex]1 < x < 4[/tex]

the function is again negative.

This is also written as:

[tex] (1,4)[/tex]

Answer:

(1,4)

(-infinity, -3)

Step-by-step explanation:

Answer:

  {-13, 2, 17}

Step-by-step explanation:

Put the given values where x is, and do the arithmetic.

  f({-3, 0, 3}) = -5{-3, 0, 3} +2 = {15, 0, -15} +2 = {17, 2, -13}

Rearranging these range values to numerical order, they are ...

  {-13, 2, 17}

_____

Your graphing calculator or spreadsheet can apply a formula to a list of numbers.

Answer: C

Step-by-step explanation: This is the most common answer choice [majority of the time] because of the face that they carry so much weight, and because whenever you are in doubt, you have nothing to do but guess.

Answer:

[tex]x^{2}+y^{2}-8x-4y+11=0[/tex]

Step-by-step explanation:

we have

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

The general equation of the circle is equal to

[tex]x^{2}+y^{2}+Ax+By+C=0[/tex]

Convert the standard form to a general form

[tex](x-4)^{2}+(y-2)^{2}=9\\ \\(x^{2} -8x+16)+(y^{2}-4y+4)=9\\ \\x^{2}+y^{2}-8x-4y+20-9=0\\ \\x^{2}+y^{2}-8x-4y+11=0[/tex]

Terms that have the same variable part are called like terms. Like terms can be added or subtracted to form a single term.

1.

16x - 4x = -48

First, combine the like terms 16x and -4x.

12x = -48

Now divide both sides by 12.

x = -4

2.

7m - 5 - 13m = 25

First, combine the like terms 7m and -13m.

-6m - 5 = 25

Now add 5 to both sides.

-6m = 30

Divide both sides by -6.

m = -5

3.

12.25 = 0.5q + 3.75

Subtract 3.75 from both sides.

8.5 = 0.5q

Multiply both sides by 2.

17 = q

q = 17

4.

2(2x - 4) + x = 7

Distribute the 2.

4x - 8 + x = 7

Combine 4x and x.

5x - 8 = 7

Add 8 to both sides.

5x = 15

Divide both sides by 5.

x = 3

5.

8 = 3(3x + 8) - x

Distribute the 3.

8 = 9x + 24 - x

Combine 9x and -x.

8 = 8x + 24

Subtract 24 from both sides.

-16 = 8x

Divide both sides by 8.

-2 = x

x = -2

Answer:

range: 13, mean: 6

Step-by-step explanation:

You get range by subtracting the largest number (15) by the smallest number (2). 15-2 equals 13.

You get mean by adding up all of the numbers (2+2+3+4+5+5+6+8+10+15=60) and dividing the sum by the amount of numbers in the list (10). 60/10 equals 6.

Answer:

338 in

Step-by-step explanation:

Tangents drawn to a circle from a common point outside the circle are equal in length.

The 2 lower tangents are both 98 in

The upper left tangents are 22 and 22 and 27 and 27

The upper right tangents are 22 and 22

Calculate the perimeter from the left side clockwise

perimeter = 98 + 22 + 22 + 27 + 27 + 22 + 22 + 98 = 338 in

It’s either skew parallel

Answer:

parallel

Step-by-step explanation:

Two lines perpendicular to the same line must be parallel to each other.

Answer:

a cone

Step-by-step explanation:

If the base is circular, then the cone is said to be a "regular" or "circular" cone, much like an ice cream cone.

If the base is elliptical, then it becomes an "elliptical" cone.  

Both shapes can be right (where the perpendicular line dropping from the vertex lands on the exact center of the base) or oblique (when the line dropping from the vertex doesn't land on the center of the base)

Answer:

Step-by-step explanation:< at center is twice angle at circumfrence. where the dot is. drawing an angle of 108 degrees.

108/2=54

y and w=54.

to get z

40 +108 +2A=360(<at a point)

148+2a=360

2a=360-148

a=360-148/2=106

106 +w+z=180 <on a straight line

106+54+z=108

160+z=180

z=180-160

=20

Answer:

z = 20°

Step-by-step explanation:

The angle z formed by 2 chords is equal to half the intercepted arc, that is

z = 0.5 × 40° = 20°

Answer:

B

Step-by-step explanation:

The president's company makes money from almonds, so he wants people to believe that almonds are good for one's teeth so that they buy more almonds.

Answer:

B. The president wants people to believe that almonds are good for one's teeth so that they buy more almonds.

Step-by-step explanation:

The report shows that people who eat a handful of almonds each day have 10% fewer cavities.

The most likely reason the president releases such report is - B. The president wants people to believe that almonds are good for one's teeth so that they buy more almonds.

The report is a way to emphasize that consuming almonds will help in reducing cavities. This is a great marketing skill by the President as making people believe the effects of almonds, will help in more sales of almonds.

Answer:

301.6 ft³

Step-by-step explanation:

The volume (V) of a cone is calculated using the formula

V = [tex]\frac{1}{3}[/tex] × area of base × perpendicular height (h)

h can be calculated by using Pythagoras' identity in the right triangle

with hypotenuse = 10 and legs 6 and h, thus

h² + 6² = 10²

h² + 36 = 100 ( subtract 36 from both sides )

h² = 64 ( take the square root of both sides )

h = [tex]\sqrt{64}[/tex] = 8

Hence

V = [tex]\frac{1}{3}[/tex] × π × 6² × 8

   = [tex]\frac{1}{3}[/tex] × 288π = [tex]\frac{288\pi }{3}[/tex] ≈ 301.6

Answer:

bnm,

Step-by-step explanation:

Answer:

x =(6-√-12)/6=1-i/3√ 3 = 1.0000-0.5774i

x =(6+√-12)/6=1+i/3√ 3 = 1.0000+0.5774i

Step-by-step explanation:

Two imaginary solutions :  

x =(6+√-12)/6=1+i/3√ 3 = 1.0000+0.5774i

 or:  

x =(6-√-12)/6=1-i/3√ 3 = 1.0000-0.5774i

Two solutions were found :

x =(6-√-12)/6=1-i/3√ 3 = 1.0000-0.5774i

x =(6+√-12)/6=1+i/3√ 3 = 1.0000+0.5774i

Answer:

$4706.81

Step-by-step explanation:

The value each year is multiplied by 100% -12% = 88% = 0.88. After 13 years, the value is 0.88^13 ≈ 0.1897906 times what it was originally: ≈ 4,706.81 dollars.

Answer:

4706.81

Step-by-step explanation:

The answer will be 3.33

Hope this Help:)

Answer:

6.22

Step-by-step explanation:

First find the mean:

μ = (105+104+110+112+114+108+108+109) / 8

μ = 108.75

The standard deviation is then:

σ² = [(105-108.75)²+(104-108.75)²+(110-108.75)²+(112-108.75)²+(114-108.75)²+(108-108.75)²+(108-108.75)²+(109-108.75)²] / 8

σ² = 77.5 / 8

σ = 3.11

Margin of error is ±2σ, so ME = ±6.22.

Answer:

Step-by-step explanation:

The trick here (and it is tricky!) is to find the area of the parallelogram as a whole based on the information you're given, and then use that area to solve for h. If we look at the parallelogram sideways and use 5.5 as the height, the base is 9.9. The area for a parallelogram is A = bh, so A = 9.9(5.5) so

A = 54.45 in squared. Now we will use that area value along with the height of h and the base of 11. Remember, just because we are using different numbers this time, the area of the parallelogram doesn't change. Therefore,

54.45 = 11(h) and

h = 4.95 in.

Answer:

  the selected answer choice is correct

Step-by-step explanation:

If flattened, it would be a rectangle 1 1/2 feet high by (1 1/2 + 2 + 1 1/2) = 5 ft long. The area of that is ...

  (1.5 ft)(5 ft) = 7.5 ft^2

Answer:

They all have diffirent sides and

Answer:

They are all 3D, but they are different shapes. Some of the shapes have more faces than other and some have a different base thans others too.

Step-by-step explanation:

Hope it helps!!

Answer:

75 feet

Step-by-step explanation:

This is a right triangle because the balloon went straight up. The other angle being 45 means it is an isosceles right triangle. This means the legs are the same length. Since the person is 75 feet away, the balloon is 75 feet up.