205000 seconds to a year

Answer:

-20x-48

Step-by-step explanation:

7x-(15x +6)-6(7+2x)

7x-(15x+6)-(42+12x)

7x-15x-6-42-12x

(7x -15x-12x)+(-6-42)

=-20x-48

Answer:

-20x - 48

Step-by-step explanation:

7x - 3(5x  +2) - 6*(7 + 2x) = 7x  + (-3)*5x + (-3)*2  + (-6)*7 + (-6)*2x

                                        = 7x - 15x - 6 - 42 - 12x

                                        = 7x - 15x - 12x  - 6 -42  {Combine like terms}

                                        =  -20x  - 48

Answer:

[tex]D. \ \ x=\frac{-b\pm \sqrt{b^{2}-4ac} }{2a}[/tex]

Step-by-step explanation:

ax² + bx + c = 0

[tex]a\left( x^{2}+\frac{b}{a} x+\frac{c}{a} \right) =0[/tex]

[tex]a\left( \left( x+\frac{b}{2a} \right)^{2} -\frac{b^{2}}{4a^2}+\frac{c}{a} \right) =0[/tex]

[tex]a\left( \left( x+\frac{b}{2a} \right)^{2} -\frac{b^{2}-4ac}{4a^2}\right) =0[/tex]

[tex]a\left( x+\frac{b}{2a} \right)^{2} -\frac{b^{2}-4ac}{4a}=0[/tex]

[tex]a\left( x+\frac{b}{2a} \right)^{2} =\frac{b^{2}-4ac}{4a}[/tex]

[tex]\left( x+\frac{b}{2a} \right)^{2} =\frac{b^{2}-4ac}{4a^2}[/tex]

[tex]x+\frac{b}{2a} =\frac{\pm \sqrt{b^{2}-4ac} }{2a}[/tex]

[tex]x=\frac{-b\pm \sqrt{b^{2}-4ac} }{2a}[/tex]

Answer: 16

Here are the steps to solve for x:

3(x+4) + 2 = 2+5(x-4)

1. Distribute to get rid of the parentheses

3x+12+2 = 2+5x-20

2. Combine like terms

3x+14 = 5x -18

3. Get like terms on the same side

3x+14 = 5x -18

-14            -14

3x = 5x -32

-5      -5

-2x = -32

4. Divide by -2 to isolate x

-2/2 x = -32/2

x=16

Answer:

Perimeter = 132.2 ft

Area = 766.9 ft^2

Step-by-step explanation:

Perimeter of Circle : P = 2 * pi * r

Perimeter of Rectangle : P = 2*l + 2*w

Perimeter of Circle : P = 2 * pi * 15 = 30*pi ft

Perimeter of Rectangle : P = 2*15 + 2*4 = 30 + 8 = 38 ft

Total Perimeter = 132.2 ft

Area of Circle : A = pi * r^2

Area of Rectangle = L * W

Area of Circle : A = pi * 15^2 = 225*pi ft^2

Area of Rectangle = 15 * 4 = 60 ft^2

Total Area = 225*pi + 60 = 766.9 ft^2

Answer:

236.7 = area

55.1 = perimeter

Answer:

(7x + 6) tickets

Step-by-step explanation:

Tickets Ross has : 8x - 5

Tickets Ross needs : 15x + 1

To find out the remaining amount, subtract the tickets Ross has from the number of tickets he needs.

Must ticket win

Answer:

C) 3.2

Step-by-step explanation:

[tex]\text{Mean}=\frac{2(0)+1(1)+3(2)+6(3)+2(4)+3(5)+2(6)}{19}\approx3.2[/tex]

Answer:

2.7

Step-by-step explanation:

the hockey score is 2.7

Answer:

1320 should be expected

Step-by-step explanation:

22 = 600

  x10

220 = 6,000

   x6

1320=36,000

The equation that best represent the volume of the cylinder in cubic inches is V = π4²h.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi.

Given that;

V = π × r² × h

V = π × (4)² × h

V = π4²h

Therefore, the equation that best represent the volume of the cylinder in cubic inches is V = π4²h.

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Answer:

16л, 8л

Step-by-step explanation:

r=4

area=4*4л

=16л

circumference= 2л*4

=8л

Answer:

a

Step-by-step explanation:

domain is based on x values in the front

range is based on y values in the back

Answer:

hmmm the mass are the numbers of the up and volume of the bottom

Step-by-step explanation:

a. The height of the ball after four seconds is 640 ft

b. The time the ball reachs a height of 768 ft is 6 s or 8 s.

c. The time the ball reachs the ground after it is thrown is 14 seconds.

Since the height of the ball is a parabola, we need to know the equation parabola is

A parabola is an equation of the form x(t) = at² + bt + c

The height of the ball after four seconds is 640 ft

Since the height of the ball is represented by the equation h(t) = -16t² + 224t. The height of the ball after four seconds is when t = 4.

So, h(t) = -16t² + 224t.

h(4) = -16(4)² + 224(4)

h(4) = -16(16) + 224(4)

h(4) = -256 + 896

h(4) = 640 ft

The height of the ball after four seconds is 640 ft

The time it takes the ball to reach a height of 768 ft is 6 s or 8 s.

To find this time, we substituie h = 768 into the equation for the height of the ball.

So, h(t) = -16t² + 224t

768 = -16t² + 224t.

16t² - 224t + 768 = 0

t² - 14t + 48 = 0

Using the quadratic formula, we find t

[tex]t = \frac{-(-14) +/- \sqrt{(-14)^{2} - 4 X 1 X 48} }{2 X 1} \\t = \frac{14 +/- \sqrt{196 - 192} }{2}\\t = \frac{14 +/- \sqrt{4} }{2}\\t = \frac{14 +/- 2 }{2}\\t = \frac{14 + 2 }{2} or t = \frac{14 - 2 }{2}\\t = \frac{16}{2} or t = \frac{12}{2}\\t = 8 or 6[/tex]

So, the time it takes the ball to reach a height of 768 ft is 6 s or 8 s.

The time it takes the ball to reach the ground after it is thrown is 14 seconds.

To find the time it takes the ball to reach the ground, the height, h = 0.

So, h(t) = 0

-16t² + 224t = 0

-16t(t - 14) = 0

t(t - 14) = 0

t = 0 or t - 14 = 0

t = 0 or t = 14 s

So, the time it takes the ball to reach the ground after it is thrown is 14 seconds.

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Answer:

A. and B.

Step-by-step explanation:

Answer:

Tom: £166

Ben: £581

Step-by-step explanation:

     In the ratio 2 : 7 there are 9 portions total (2 + 7 = 9).

£747 / 9 = £83

     For Tom:

£83 * 2 = £166

     For Ben:

£83 * 7 = £581

Checking our work:

      Since the decimals are the same, this means the ratios are equal.

2/7 = 0.2857

166/581 = 0.2857

Answer:

3 1/4 if im not mistaken ive done the math so im pretty sure im right :)

Step-by-step explanation:

heres what i did:

i added everything that would make 2 3/4 then added the remaining together to get 3 1/4 which the question wanted you to see the reaming bit so 3 1/4 was the remaining sorry if that was confusing

Answer:

  14 donuts

Step-by-step explanation:

Packing circles in a rectangular space is always an interesting problem. Sometimes, it works well to put them on a grid. Other times, more circles can be packed in if they are somewhat off-grid. The details depend on the specific dimensions.

The attached shows a way to fit 14 donuts in the box.

_____

Additional comment

Packing them on a square grid allows only 12 donuts to be put in the box.

Answer:

In the figure,

AC is the diameter of circle with centre O

∠DAC=37

o

AD || BC

∠ACB=∠DAC (Alternate angles)

Hence,

x=37

o

In Δ ABC,

∠B=90

o

 (angle in semicircle)

By angle sum property of triangle, we get,

∠x+∠y+∠B=180

o

37

o

+∠y+90

o

=180

o

∠y=180

o

−127

o

We get,

∠y=53

o

Step-by-step explanation:

Answer:

-3.21538461538

Step-by-step explanation:

[tex]\mathrm{Equation\;Given:}\; 5+5x=\frac{12x-\frac{12}{5}\cdot \:7}{5}[/tex]

[tex]\mathrm{Multiply\;both\;sides\;by\;5}:[/tex]   [tex]5\cdot \:5+5x\cdot \:5=\frac{12x-\frac{12}{5}\cdot \:7}{5}\cdot \:5[/tex]

[tex]\mathrm{Now\;we\;have\;}:[/tex]  [tex]25+25x=12x-\frac{84}{5}[/tex]

[tex]\mathrm{Subtract\;by\;sides\;by\;25}:[/tex]   [tex]25+25x-25=12x-\frac{84}{5}-25[/tex]

[tex]\mathrm{Thus\;we\;have}:[/tex]  [tex]25x=12x-\frac{209}{5}[/tex]

[tex]\mathrm{Subtracting\;12x\;from\;both\;sides}:[/tex]  [tex]25x-12x=12x-\frac{209}{5}-12x[/tex]

[tex]\mathrm{So\;then\;we\;have:}[/tex] [tex]13x=-\frac{209}{5}[/tex]

[tex]\mathrm{Now\;divide\;both\;sides\;by\;13}:[/tex]  [tex]\frac{13x}{13}=\frac{-\frac{209}{5}}{13}[/tex]

[tex]\mathrm{Hence\;we\;have}:\;\;x=-\frac{209}{65}[/tex]

[tex]\mathrm{Decimal\;form}:-3.21538461538[/tex]

Kavinsky

Answer:

(14, -2)

I could totally be wrong though, I haven't done this type of math in years.

Answer:

3

Step-by-step explanation:

in the image Attached

......

Answer:

3

Step-by-step explanation:

Prime factorize both numbers :

The GCF is the highest common term that both terms share.

Hence,

Answer: It's 3

The sum of 6 and 3 divided by the difference of 6 minus 3

Step-by-step explanation:

The sum of 6 and 3: 6+3The difference of 6 minus 3: 6-3The sum of 6 and 3 divided by the difference of 6 minus 3:

I hope this helps :) [tex]\frac{6}{3} \frac{6}{3} =\frac{9}{3} =3[/tex]

Answer:

  33°

Step-by-step explanation:

Where a transversal crosses parallel lines at right angles, all of the angles at their points of intersection are right angles.

__

Angles at U are right angles, congruent to ∠UXZ. So, acute angle UXW in right triangle UXW is the complement of acute angle UWX:

  ∠UXW = 90° -57° = 33°

The number of times Jennifer rolls a number less than 3 in a number cube when she rolls it 60 times is 40.

The probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

The probability of rolling a number less than 3 on a number cube is 2/6.

[tex]P( > 3)=\dfrac{2}{6}[/tex]

Here, the Jennifer rolls a number cube 60 times. Thus, the number of times she rolled the number less than 3 in this cube is,

[tex]n=\dfrac{2}{3}\times60\\n=40[/tex]

Thus, the number of times Jennifer rolls a number less than 3 in a number cube when she rolls it 60 times is 40.

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Answer:

1/4

Step-by-step explanation:

If total ride is 48 minutes, then she should have covered 1/4 the distance in 12 minutes cuz in 24 minutes she would cover 1/2 and in 36 minutes should would cover 3/4 and in 48 minute should cover the ride 1.

x° = 25°

25° is the answer

Answer:

215.625square feet

Step-by-step explanation:

area rectangle = l x w = 7.5x12.5

area triangle = ½ x b x h = ½x 7.5 x 7.5

area of shape = 93.75+93.75+28.125= 215.625square feet

Answer:

So basically there are the letters V, U , T, and S on each corner right? If you remove the X and cross in the middle, the shape of V, U, T, and S gives you a parallelogram. A parallelogram is a shape that has two pairs of parallel sides. The lines V and U are parallel to the lines S and T. The same goes for lines V and S; they are parallel to U and T.

Step-by-step explanation:

I hope this helped! I tried to explain the best as I could..