Which solution to the equation startfraction 3 over 2 g 8 endfraction = startfraction g 2 over g squared minus 16 endfraction is extraneous? g = –4 g = –4 and g = 16 neither g = –4 nor g = 16 g = 16

Answer:

1/27

Step-by-step explanation:

Okay first, calm down. Math is always hard when your stressed.

First step is to elimate b and write the equation in terms of a. So rearrange a-b=3 to b=a-3. Substitue that into the equation. Now you have :

27^1/3(a-3)

---------------

9^1/2(a)

Now rewrite the equation in terms of 3, you do this by realizing that 9 is simply 3^2 and 27 is simply 3^3. This gives you

3^(a-3)

---------

3^a

Now you use the laws of powers, and you get 3^-3, which is essentially 1/27.

Step-by-step explanation:

Given: 3x - 6 + 4b+ 5 + 7 -2x

x - 6 + 4b + 12

x +6 + 4b

Answer:

Below in bold.

Step-by-step explanation:

The hexagon is made up of 6 equilateral triangles.

So the Base = 12 cm.

Height a = 12 cos 30 = 10.392 cm

So area of 1 triangle =  1/2 * 12 * 10.392 cm^2

- and total area =  6 *  1/2 * 12 * 10.392

= 36 * 10.392

= 374.11 cm^2 to the nearest hundredth.

Answer:

4. $3500​

Step-by-step explanation:

Because 70% of 5000 = 3500

Hope This Helps

Step-by-step explanation:

this is essentially

(x-2)(x-3)(x-5) = 0

now to find the cubic function we just expand.

the answer:

x^3 - 10x^2 +31x - 30

The approximate distance the ball travels after making a full rotation around the triangle of friends is: B. 57. 94 feet.

Luke ( 4,10)

Nick (-8, -2)

Serena (4, -14)

Hence:

Distance between two points=√(x2-x1)²+ (y2-y1)²

Distance between Luke and Nick=√ (-8, -4)²+ ( -2-10)²

Distance between Luke and Nick=√288

Distance between Luke and Nick=16.97 feet

Distance between Luke and Serena=10-(-14)

Distance between Luke and Serena=24

Distance between Nick and Serena=√ (-8, -4)²+ ( -2+14)²

Distance between Nick and Serena=√ 288

Distance between Nick and Serena=√16.97 feet

Total distance=16.97 feet+16.97 feet+ 24

Total distance=57.94 feet

Therefore the correct option is B.

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Answer:

57.94 feet

Step-by-step explanation:

I got it correct

A tree diagram is a tool used in general mathematics, probability, and statistics. The tree diagram can be drawn as shown below.

A tree diagram is a tool used in general mathematics, probability, and statistics to compute the number of alternative outcomes of an event or issue and to arrange those potential outcomes.

Since the first spinner has 3 outcomes, the second spinner has 4 outcomes. Therefore, the total number of outcomes will be 12.

Hence, the tree diagram can be drawn as shown below.

Learn more about Tree Diagram:

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Answer:

1 + 1 = 2

Step-by-step explanation:

Answer:

y=-5x+22

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

given the triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{LM}{PR}[/tex] = [tex]\frac{LN}{PQ}[/tex] ( substitute values )

[tex]\frac{n}{1.8}[/tex] = [tex]\frac{4.35}{3}[/tex] ( cross- m ultiply )

3n = 7.83 ( divide both sides by 3 )

n = 2.61 cm

Wheel Diameter = Wheel 3 x Radius

10 cm / 3 = 3.3 = 3 cm

for one rotation of a wheel the distance travelled = circumfrence of the wheel

Answer:

Step-by-step explanation:

The only way I can solve this is by assuming the letter on the far left is a B. If that is the case, <BAC and <EAC are supplementary.

Ignore the line going from C to D and look at the angle that is left. <EAC is out in the open. What happens is that <EAC and <BAC share the same starting poing which is A.

Each of the angles divide the diameter in two. The construction makes a total angle of 180 degrees which makes them supplementray.

<BAC + <EAC = 180o

<EAC = 31 degrees         Given. Substitute that value into the equation above.

<BAC + 31 = 180              Subtract 31 from both sides.

<BAC +31-31 = 180 - 31    Combine

<BAC = 149

Please the explanation of this question on how to graph a sinusoidal function for further information about the graph of the resulting expression.

Sinusoidal functions have a period of 2π and represent a kind of symmetical bounded functions. In this case, the given expression have a period of 6π and is bounded between -5 and 1.

The procedure to graph the given expression is summarized below:

Lastly, we present the outcome derived from the given procedure in the image attached below.

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Answer:

1/9

Step-by-step explanation:

Answer:

There is a difference because in the spring, there may be more days of rain, therefore that would increase the mean for the spring compared to the other days.

Step-by-step explanation:

Answer:

There is a difference since there could be more rainy days in the spring than on other days. As a result, the mean for the spring would be higher than on other days.

Step-by-step explanation:

Hope this helps!

Have a great day!

The y-intercept of this graph considering the cell phone plan of Barry represent D. The total cost each month.

It should be noted that a y-intercept simply means where the line intersects the y axis.

The y-intercept of this graph considering the cell phone plan of Barry represent the total cost each month. This can be illustrated by y = mx + b.

Learn more about intercept on:

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Answer:

30 units

Step-by-step explanation:

IF it is a right triangle AND these are the LEGS then the hypotenuse = 13

5+12 + 13 = 30

Step-by-step explanation:

I think they are all in order already

Answer:

C

Step-by-step explanation:

A - 1.57 + 0.23 = 1.80

B- 1.09 + 0.76 = 1.85

C- 0.98 + 0.89 = 1.87

D - 1.18 + 0.68 = 1.86

C has the greater sum

Answer:

Step-by-step explanation:

When we add the area of semicircle I and III  of same radius, we get a cirlce.

diameter = 48 cm

r = 48/2 = 24 cm

Area of I and III = area of circle

                         = πr²

                         = 3.14 * 24 *24

                         = 1808.6 cm²

Figure II:

length =  diameter of the bigger semicircle = 48 cm

width = diameter of the smaller circle = 14 cm

Area of rectangle (figure II) = length *width

                                            = 48 * 14

                                            = 672 cm²

Smaller semicircle A & B

diameter = 14 cm

r = 14/2 = 7 cm

Area of Semicircle A & B = Area of a circle

                                         [tex]\sf = \dfrac{22}{7}*7*7\\\\ = 22*7\\\\= 154 \ cm^{2}[/tex]

Area of shaded region =  area of rectangle II + area of figure I & III - area of A &B

            = 672 + 1808.6   - 154

           =  2326.6cm²

Answer:

65.17°

Step-by-step explanation:

→ Inverse cosine -0.42

65.17°

→ As the domain is between 0 and 360, any negative values can be ignored

Answer:  The answer is C ≈ 18.85 meters.

Step-by-step explanation: The formula that you need is...

2 × π (pi or approximately 3.14) × r (which is the radius)

In this case, your radius is 3, so you solve by 2 × π (pi or approximately 3.14) × 3 which equals 18.8495559215 but you round to your nearest hundredth which gets you to have 18.85 meters as your answer! I hope this helps!

radius= 3 m

the perimeter of the circle.

[tex]perimeter = 2\pi \: r[/tex]

[tex]p = 2 \times \pi \times 3[/tex]

[tex]p = 18.84956[/tex]

[tex]p = 18.95[/tex]

Answer:

960 cm^3

Step-by-step explanation:

The volume of any object is found by multiplying the area of the base times the height. I'll use the triangular sides as the base in this case. The area of the triangle is (bh)/2, so this calculation is:

(16x12)/2 = 96

The height is 10, so Volume is 96 x 10 = 960 cm^3

Answer:

-2

Step-by-step explanation:

you look at the y axis and that is where you start it goes 2 down and 1 to the right

Answer:

C. -2

Step-by-step explanation:

Using the two points on the graph, apply the slope formula.

(y₂ - y₁)/(x₂ - x₁)

The points given are (-3, 3) and (1, -5).

(-5 - 3)/(1 - (-3))

Simplify.

-8/4

Divide.

-2.

Answer:

Option A for part (a) and Option B for part (b)

Step-by-step explanation:

Step 1:  Determine the ratios in part a

First Batch --> 8 minutes / 2 customers = 4 minutes per customer

Second Batch --> 18 minutes / 6 customers = 3 minutes per customer

Third Batch --> 21 minutes / 7 customers = 3 minutes per customer

In part (a) we would choose option a which is that it does not always take the same amount of time to serve each customer.

Step 2:  Determine the ratios in part b

First Batch --> 27 points / 3 dollars = 9 points per dollar

Second Batch --> 45 points / 5 dollars = 9 points per dollar

Third Batch --> 63 points / 7 dollars = 9 points per dollar

In part(b) would choose option b which is that each dollar spent appears to earn the same number of points which would give us 8 dollars for 72 points.

Answer: Option A for part (a) and Option B for part (b)

Answer:

581.1

Step-by-step explanation:

581.1