Two forces of 100 Newtons and 25 Newtons
act concurrently on an object. These two forces
could have a resultant force of

A) 0 N
B) 50 N
C) 100 N
D) 150 N

[tex]|x|^2 -2|x|-3=0\\\\\implies |x|^2 - 3|x| + |x| - 3 =0\\\\\implies |x|(|x| -3) + (|x| -3) = 0\\\\\implies (|x| - 3)(|x| +1) =0\\\\\implies |x| -3 = 0~~ \text{Or} ~~ |x| +1 =0\\\\\implies |x| = 3 ~~ \text{Or}~~ |x| = -1;\\\\\text{For}~ |x|= -1 ,~\text{ there are no solution for } x \in \mathbb{R}\\\\\text{So,}\\\\|x| = 3 \implies x = \pm 3[/tex]

From the information given, the time taken for the rock to hit the ground will be 3.326 seconds.

From the information given, the formula for the height is given as:

h(t) = -16t² + v + h0

where,

h0 = 177

h(t) = 0

We'll put the values back into the formula. This will be:

h(t) = 16t² + v + h0

0 = -16t² + 177

16t² = 177

t² = 177/16

t = 3.326

Therefore, the time taken will be 3.326 seconds.

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Answer:

124.8 points (Total)

109.3 points (Lee High School & Rye High School)

Step-by-step explanation:

Total

Lee HS and Rye HS

Answer: 2 wins to 1 loss

Step-by-step explanation:

Simplify:

6x + 6 = 3x - 15

Now use all solutions

6(7) + 6 = 3(7) - 15

42 + 6 = 21 - 15

Nearly, you can tell it doesn't work.

6(-7) + 6 = 3(-7) - 15

-42 + 6 = -21 - 15

-36 = -36

So, -7 is x.

Answer:

[tex] \pmb{3(2x + 2) = 3x - 15}[/tex]

[tex] \: \: \: \rightarrow \: {6x + 6 = 3x - 15}[/tex]

[tex] \: \: \: \rightarrow \: {6x - 3x = 15 + 6}[/tex]

[tex]\: \: \: \rightarrow \: {3x = 21}[/tex]

[tex]\: \: \: \rightarrow \: {x = \displaystyle{{ \frac{21}{3} }}}[/tex]

[tex]\: \: \: \pmb\rightarrow \: { \pmb{x = 7}}[/tex]

Step-by-step explanation:

[tex] \frac{2}{3} = 2 \times \frac{1}{3} = 2 \times 0.333 = 0.666 \\ \\ \frac{7}{6} = 7 \times \frac{1}{6} = 7 \times \frac{1}{2} \times \frac{1}{3} = 7 \times 0.5 \times 0.333 = 1.1655 \\ \\ 3 \frac{1}{9} = 3 + \frac{1}{9} = 3 + ( \frac{1}{3} \times \frac{1}{ 3} ) = 3 + (0.333 \times 0.333) = 3 \times 0.11088 = 3.11088 \\ \\ 5 \frac{5}{18} = 5 + (5 \times \frac{1}{18} ) = 5 + (5 \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{2} ) = 5 +(5 \times 0.333 \times 0.333 \times 0.5) = 5 + 0.27722 = 5.27722[/tex]

Answer: Bill's $0.1333333 per oz

Step-by-step explanation:

Answer:

i am pretty sure its C

Step-by-step explanation:

==================================================

Explanation:

x = speed of the plane in mph

x-180 = speed of the car, since its 180 mph slower than the plane

For the plane, we can form the equation

distance = rate*time

d = r*t

500 = xt

t = 500/x

For the car, we can say,

d = rt

140 = (x-180)t

140 = (x-180)*(500/x)

140x = 500(x-180)

140x = 500x - 90,000

140x - 500x = -90,000

-360x = -90,000

x = (-90,000)/(-360)

x = 250

The speed of the plane is 250 mph

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

Extra info:

The car's speed is x-180 = 250-180 = 70 mph

It takes the plane t = d/r = 500/250 = 2 hours and it takes the car t = d/r = 140/70 = 2 hours. Both vehicles travel for 2 hours, which helps to confirm the answer.

Answer:

A

[tex]^{}[/tex]

As the distance from the lighthouse, LH, increases, the angle of elevation,

reduces.

Reasons:

The distance of point A from the light house = 968 feet

Angle of elevation from point A to the lighthouse = 7°

Angle of elevation from point B to the lighthouse = 3°

Required:

The distance from point A to point B.

Solution:

[tex]\displaystyle tan(\theta) = \frac{Opposite \, side \, to\, angle}{Adjacent\, side \, to\, angle} = \mathbf{\frac{Height \ from \ sea \ to \ the \ light \ house }{Horizontal \ from \ boat \ to \ the\ LH}}[/tex]

Which gives;

[tex]\displaystyle tan(7^{\circ}) = \mathbf{\frac{Height \ from \ sea \ to \ the \ light \ house }{968 \ feet}}[/tex]

Height to the lighthouse = tan(7°) × 968 feet  ≈ 118.86 feet

From point B, we have;

[tex]\displaystyle tan(3^{\circ}) = \mathbf{ \frac{118.86 \ feet }{Horizontal \ distance \ from \ point \ B\ to \ LH}}[/tex]

Therefore;

[tex]\displaystyle Horizontal \ distance \ from \ boat \ to \ LH = \frac{118.86 \ feet }{tan(3^{\circ})} \approx \mathbf{2237.9 \, feet}[/tex]

Therefore;

Distance from A to B = D

D = Horizontal distance from B to LH - Horizontal distance from A to LH

Distance from A to B = 2237.9 feet - 968 feet ≈ 1269.9 feet

The distance from point A to point B, D ≈ 1,269.9 feet

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Answer: The answer is 3 basic toppings and 2 premium toppings.

The amount of people in 2010 is 11571 and it would take approximately 22 years to reach 50000 people.

Let P represents the population as of the year(t) 2000. Given the equation:

[tex]P=3485e^{0.12t}[/tex]

In the year 2010 (t = 10 years), the population would be:

[tex]P=3485e^{0.12*10}=11571\ people[/tex]

For the population to reach 50000 people:

[tex]50000=3485e^{0.12t}\\\\t=22\ years[/tex]

The amount of people in 2010 is 11571 and it would take approximately 22 years to reach 50000 people.

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Answer:

No

Step-by-step explanation: The first one is positive and the second one is negative

Answer:

(m×1/3)-6=y

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

It's a direct variation condition,

hence ratio remains constant.

39 - 3

x - 4

x = 4×39/3 = 4×13 = 52 .. (for first blank space)

39 - 3

x - 10

x = 39×10/3 = 13×10 = 130 .. (for second blank space)

Answer:

39 ____ 3

52 ____ 4

130 ____ 10

To get the smaller numbers to a bigger one you'll times them by 13.

Divide 39 by 3 and you'll get 13 then time 4 by 13 to get the missing box answer do the same for number 10.

Answer: [tex]2^{21}[/tex]

Step-by-step explanation:

Answer:

2000kkkkkkkkkkklllllk

There is no answer to this because:

Any digit repeating like that would usually be ?/9

Example: 0.1 repeating = 1/9

                0.2 repeating = 2/9

                0.8 repeating = 8/9

But 0.9 repeating? There should not be a fraction for that.

If you want to round up to 1, you can.

Answer:

See answers below

Step-by-step explanation:

slope-intercept form- y=-2x+3

point slope form- y-11=-2(x+4)

Use the given slope and point to substitute into the point-slope formula

then you can solve for y=mx+b

Answer:

E none of these

Step-by-step explanation:

first convert the 30 km into m

it will be 30000m

speed = distance /time taken

convert the time into seconds too it will be 1200

so 30000/1200 = 25m/s

none of the above

Answer: 10g+6h+8

So none of the above I think

Step-by-step explanation:

Answer:

It should be C none of the above

Answer:

[tex]\sqrt[9]{10}[/tex]

Step-by-step explanation:

When you're multiplying radicals you start by multiplying inside the radical. Break it down so it's easier for you:

1.  [tex]\sqrt{15}*\sqrt{6} = \sqrt{90}[/tex] beacause 15 * 6 = 90

2. The next step is to simplify that radical. You simplify by finding factors of that number. The factors of 90 are:

You want to take the biggest factors of that number (yours is 9 * 10). After that you are going to break it down more. What are the factors of 9 and what are the factors of 10? Well the biggest factors of 9 are 3 * 3 and the biggest factors of 10 are 5 * 2, so 10 cannot be broken down anymore because it doesn't have two of the same numbers so 10 is going to stay the same, but 9 has two of the same number (3). What we're left with is [tex]\sqrt[3]{10}[/tex] because the same numbers stay out of the radical and the single number stays inside.

3. We can't forget about the 3 that we left out, so what we're going to do is write [tex]3 *\sqrt[3]{10}[/tex]. When you multiply that out you keep the outside with the outisde which results in the answer being [tex]\sqrt[9]{10}[/tex] because this cannot be simplified anymore.

Answer:

-2.1

Step-by-step explanation:

Answer:

Hi, I hope i'll help you.

Step-by-step explanation:

The answer is 2.1, hope it helps!