Please help me with this

Answer:

AM = 4

Step-by-step explanation:

On each median the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint, that is

AM = [tex]\frac{1}{3}[/tex] × 12 = 4

The Center = (-1.5, 2) and radius is 2 of the equation  (x+1.5)^2 + (y-2)^2 = 4.

We have given that,

A manufacturer is designing a two-wheeled cart that can maneuver in tight spaces.

On one test model, the wheel placement and radius are modeled by the equation (x+1.5)^2 + (y-2)^2 = 4.

We have to determine the center and radius of the given equation.

The standard form for the equation of a circle is [tex](x-h)^2+(y-k)^2=r^2.[/tex]

The center is (h,k) and the radius measures r units.

Compare the given equation with the standard form of the equation so we get,

radius=4=(2)^2=2

center(h,k)=(-1.5,2)

Therefore, the Center = (-1.5, 2) and radius is 2 of the equation  (x+1.5)^2 + (y-2)^2 = 4.

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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.

[tex]\( a = \frac{8}{5} \)[/tex] and  [tex]\( b = \frac{3}{8} \)[/tex].

To find the number asuch that the line x = a bisects the area under the curve [tex]\( y = \frac{1}{{x^2}} \)[/tex] for [tex]\( 1 \leq x \leq 4 \)[/tex], we first need to find the total area under the curve in that interval. Then, we'll find the value of a such that the area to the left of x = a is equal to the area to the right of x = a.

The total area under the curve [tex]\( y = \frac{1}{{x^2}} \)[/tex] from x = 1 to x = 4 is given by the definite integral:

[tex]\[ A = \int_{1}^{4} \frac{1}{{x^2}} \, dx \][/tex]

[tex]\[ A = \int_{1}^{4} x^{-2} \, dx \][/tex]

[tex]\[ A = \left[ -\frac{1}{x} \right]_{1}^{4} \][/tex]

[tex]\[ A = -\frac{1}{4} + \frac{1}{1} \][/tex]

[tex]\[ A = 1 - \frac{1}{4} \][/tex]

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

So, the total area under the curve is [tex]\( \frac{3}{4} \)[/tex].

To bisect this area, the area to the left of x = a and the area to the right of x = a must each be [tex]\( \frac{1}{2} \)[/tex] of the total area.

Let's integrate from x = 1 to x = a to find the area to the left of \( x = a \), then set it equal to [tex]\( \frac{1}{2} \)[/tex] of the total area:

[tex]\[ \int_{1}^{a} \frac{1}{{x^2}} \, dx = \frac{1}{2} \cdot \frac{3}{4} \][/tex]

[tex]\[ \left[ -\frac{1}{x} \right]_{1}^{a} = \frac{3}{8} \][/tex]

[tex]\[ -\frac{1}{a} + \frac{1}{1} = \frac{3}{8} \][/tex]

[tex]\[ -\frac{1}{a} + 1 = \frac{3}{8} \][/tex]

[tex]\[ -\frac{1}{a} = \frac{3}{8} - 1 \][/tex]

[tex]\[ -\frac{1}{a} = \frac{3}{8} - \frac{8}{8} \][/tex]

[tex]\[ -\frac{1}{a} = \frac{-5}{8} \][/tex]

[tex]\[ \frac{1}{a} = \frac{5}{8} \][/tex]

[tex]\[ a = \frac{8}{5} \][/tex]

So, [tex]\( a = \frac{8}{5} \)[/tex].

Now, to find the number b such that the line y = b bisects the area, we need to find the value of b such that the area above the line y = b is equal to the area below the line y = b.

The total area under the curve is [tex]\( \frac{3}{4} \)[/tex]. Since the curve is symmetric about the x-axis, the line y = b must pass through the midpoint of the total area, which is [tex]\( \frac{3}{8} \)[/tex] above the x-axis.

So, [tex]\( b = \frac{3}{8} \)[/tex].

ANSWER

A (-∞,-2)

B (0,4).

EXPLANATION

The portion of the graph that is above the x-axis is considered positive.

From the graph the curve is above the x-axis on the interval

(-∞,-2) and (0,4).

The first and second options are correct.

Answer:

m<ADB = 25 degrees

Step-by-step explanation:

<ADB has two different intercepted arcs: AB and the unlabeled one that has a measure of 20. To find the actual measure of the angle, we must find the difference between these arcs and divide by 2.

70-20 = 50

50/2 = 25

Applying the angle of intersecting secants theorem, the measure of angle ADB in the diagram is: A. m∠ADB = 25°

When two secants meet at a point outside a circle, the measure of angle formed at that point is half the positive difference of the intercepted arcs, based on the angle of intersecting secants theorem.

m∠ADB = 1/2(70 - 20)

m∠ADB = 1/2(50)

m∠ADB = 25°

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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:

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!!

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

[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 with explanation:

When two coins are tossed

Total Sample Space ={T T,HT, TH, H H}=4

By getting , T T, total points won =1 Point

For, a fair game , you need to lose 1 point, so that sum of all the points

    =1 -1

   =0

The point = -1 , must be obtained from three outcomes which are {HT, TH, and H H}.

Sum of ,HT , TH and H H = -1

⇒S(H T) +S (TH) +S(H H)= -1, where S=Sum

If points obtained on each of three outcome are equal, then

[tex]S(HT)=\frac{-1}{3}\\\\S(TH)=\frac{-1}{3}\\\\S(HH)=\frac{-1}{3}[/tex]

Answer:

BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB

Step-by-step explanation:

BBBBBBBBBBBBBBB

Answer:

Step-by-step explanation:

If two plygons are similar, then corresponding sides are in proportion.

Therefore we have the equation:

[tex]\dfrac{z}{9}=\dfrac{2}{6}[/tex]          cross multiply

[tex]6z=(9)(2)[/tex]

[tex]6z=18[/tex]          divide both sides by 6

[tex]z=3[/tex]

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:

2.) 437.50

Step-by-step explanation:

When doing the formula for interest and plugging in 5 for the value of time, this equation increases by approximately 437.50.

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.

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:

3/4

Step-by-step explanation:

I'm not very good at understanding word problems but I'll try to help using the info I already have.

You bought 3/4 pounds and you need a total of 1 1/2 pounds.

Find the common denominator which in this case is 4. Multiply 1 1/2 by 2/2 to get 1 2/4

You leave 3/4 alone because the denominator is already 4.

Convert 1 2/4 to a mixed number by taking away the 1 and adding 4 to the numerator leaving you with 6/4

6/4 - 3/4 = 3/4

Therefore you need 3/4 pounds left

Hope I helped

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:

The quotient contains a terminating decimal and The quotient is a whole number less than 11.

Step-by-step explanation:

To answer this one, it's mandatory to remember that quotient, is the outcome of a ratio: a number (r) over another (s) (different than 0). In this case:[tex]\frac{81}{918}[/tex]. So q is equal to =0.08823529411.

Analyzing the number: 0.08823529411

This is not a repeating decimal, but it is a terminating decimal for it has an end.

The quotient is also a whole number less than 11.

The Whole Set of numbers is made up of the following numbers W ={0,1,2,...} and 0 < 11. Therefore it is true.

The quotient of 81 divided by 918 is a decimal that contains repeating digits.

The question asks about the quotient of the division problem 81 divided by 918. To find out the nature of the quotient, we can perform the division. The result of this division is not a whole number since 81 cannot evenly divide 918. Therefore, we will be looking at a decimal result. When we carry out the division, we notice that the decimal will not terminate shortly; thus, we can infer that the pattern of digits will start to repeat at some point. This tells us that the quotient contains a repeating decimal. Therefore, the correct answer is that the quotient contains a repeating decimal. It is not a whole number, nor is it terminating, and the quotient will be less than 1 since 81 is less than 918.

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:

(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%).

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Answer:

Joe is 9 years old

Step-by-step explanation:

We can start by creating two different equations, one for each fact that we know about their ages.

Say that J is Joe's age

Say that T is Tim's age

Our first equation would then be:

4J + 2T = 50

J - 2 = T

Now that we know that T is J - 2, we can plug that in to the first equation.

4J + 2(J - 2) = 50

We can simplify this equation to solve for J

4J + 2J - 4 = 50

6J = 54

J = 9

Joe is 9 years old

Answer:

A and C

Step-by-step explanation:

I got the answers correct on edg.

Hope this helps :)

Answer:

AB is the shortest segment in △ABC

AC = 2AB

Step-by-step explanation:

Edge 2022

Answer:

Sometimes

Step-by-step explanation:

By definition:

Isosceles triangle:Two equal sides and

Two equal angles

Acute triangle: All angles are less than 90°.

Because an angle of an isosceles triangle can be greater than 90° sometimes an acute triangle is not an isosceles.

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:

  A.  x = -2

Step-by-step explanation:

A spreadsheet is a suitable tool for making a chart like this.

The values of f(x) and g(x) are the same for x = -2. That is, f(-2) = g(-2), so x=-2 is the solution to f(x)=g(x).

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:

54.65m

Step-by-step explanation:

This is going to be extremely difficult to explain.  We have one large right triangle split up into 2 triangles:  the first one has a base angle of 57 with unknown base length (y) and unknown height (x), and the second one has a base angle of 27 with unknown base length of y + 43 and unknown height (x.  This is the same x from the first one and is what we are looking for...the height of the tower).  We can find the vertex angle of the first triangle because 180 - 90 - 57 = 33.  The side across from the 33 is y and the side adjacent to it is x so we have that tan33 = y/x.  Not enough yet to do anything with.  Our goal is to solve for that y value in order to sub it in to find x.  Next we have to use some geometry.  The larger triangle has a base angle of 27.  The angle within that triangle that is supplementary to the 57 degree angle is 180 - 57 = 123.  So now we have a triangle with 2 base angles measuring 123 and 27, and the vertex angle then is 180 - 123 - 27 = 30.  That vertex angle of 30 added to the vertex angle of the first triangle is 63 degrees total.  Now we can say that tan63 = (y+43)/x.  Now we have 2 equations with 2 unknowns that allows us to solve them simultaneously.  Solve each one for x.  If

[tex]tan33=\frac{y}{x}[/tex], then

[tex]x=\frac{y}{tan33}[/tex].

If

[tex]tan63=\frac{y+43}{x}[/tex], then

[tex]x=\frac{y+43}{tan63}[/tex]

Now that these both equal x and x = x, we can set them equal to each other and solve for y:

[tex]\frac{y}{tan33}=\frac{y+43}{tan63}[/tex]

Cross multiply to get

[tex]tan33(y+43)=ytan63[/tex]

Distribute through the parenthesis to get

y tan33 + 43 tan33 = y tan 63.

Now get the terms with the y in them on the same side and factor out the common y:

y(tan33 - tan63) = -43 tan33

Divide to get the following expression:

[tex]y=\frac{-43tan33}{(tan33-tan63)}[/tex]

This division gives you the fact that y = 64.264 m.  Now we add that to 43 to get the length of the large right triangle as 107.26444 m.  What we now is enough information to solve for the height of the tower:

[tex]tan27=\frac{x}{107.2644}[/tex]

and x = 56.65 m

Phew!!!!! Hope I didn't lose you too too badly!  This is not an easy problem to explain without being able to draw the picture like I do in my classroom!

Angle of elevation is the angle between a line of sight and the horizontal surface.

The height of the tower is [tex]32.74 m[/tex]

The question is illustrated with the attached image.

First, calculate distance BC (x)

This is calculated using the following tan ratio

[tex]\tan(57) = \frac{h}{x}[/tex]

Make h the subject

[tex]h = x\tan(57)[/tex]

Next, calculate distance CD using the following tan ratio

[tex]\tan(27) = \frac{h}{CD}[/tex]

Make h the subject

[tex]h = CD \times \tan(27)[/tex]

From the attached image:

[tex]CD = x + 43[/tex]

So, we have:

[tex]h = (x + 43) \times \tan(27)[/tex]

Substitute [tex]h = x\tan(57)[/tex]

[tex]x \tan(57) = (x + 43) \times \tan(27)[/tex]

[tex]1.5398x = (x + 43) \times 0.5095[/tex]

Open brackets

[tex]1.5398x = 0.5095x + 21.9085[/tex]

Collect like terms

[tex]1.5398x - 0.5095x = 21.9085[/tex]

[tex]1.0303x = 21.9085[/tex]

Solve for x

[tex]x = \frac{21.9085}{1.0303}[/tex]

[tex]x = 21.2642[/tex]

Recall that:

[tex]h = x\tan(57)[/tex]

[tex]h = 21.2642 \times 1.5398[/tex]

[tex]h = 32.74[/tex]

Hence, the height of the tower is [tex]32.74 m[/tex]

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Answer:

5.6

Step-by-step explanation:

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Answer:

6.2

Step-by-step explanation:

The expected value is the sum of the each value times its probability.

X = (3×0.2) + (4×0.1) + (5×0.25) + (7×0.05) + (9×0.4)

X = 0.6 + 0.4 + 1.25 + 0.35 + 3.6

X = 6.2