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Rama09 [41]
3 years ago
15

For the following geometric sequence find the recursive formula and the 5th term in the sequence. In your final answer, include

all of your work.
{-4, 12, -36, ...}
Mathematics
2 answers:
Sophie [7]3 years ago
7 0
...42, -193.. thats the 4th and 5th  Hope this helps 
harkovskaia [24]3 years ago
5 0

each term is -3 times of the previous term f(n)=-3f(n-1)  is the recursive sequence because math 5th term is 4th term times -3 which is -3 times 3rd term (-36) so -36 times -3 times -3=-324 is 5th term

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which has greater cenetic energy a car traveling 30.0 km/hr or one twice as heavy traveling at 15 km/hr?​
iVinArrow [24]

Answer:

30 km/h car

Step-by-step explanation:

From analysis the   car traveling at 30 km/h has greater kinetic energy

we can deduce it from the expression of kinetic energy which is

KE=\frac{1}{2} mv^2

Assuming the mass m= 1 kg

 

For the 30 km/h

KE=\frac{1}{2}*1*30^2 \\\\KE=\frac{1}{2}*1*900\\\\\KE=450 J

   

For the 15 km/h

KE=\frac{1}{2}*2*15^2 \\\\ KE=\frac{1}{2}*2*225 \\\\\ KE=\frac{1}{2}*450 J\\\\\ KE=225 J

Though the kinetic energy is a function of mass and velocity, but from our analysis the faster moving object has more KE

8 0
3 years ago
Well I need help please
marissa [1.9K]

 change to improper fractions

 77 1/2 = 145/2

2  1/4  = 9/4

divide

145/2 divide 9/4

copy dot flip

145/2 * 4/9

580/18

290/9

32  2/9

it will fit into 32 bags with 2/9 left over

We have 32 full bags * 2.25 = $72.00



8 0
3 years ago
Pls help me I dont get it pls help me
liubo4ka [24]

Answer:

For an equal number of servings,the bananas will have three times as much sugar.

Step-by-step explanation:

If you would like me to explain how I got this answer, tell me in the comments

3 0
3 years ago
What is the solution to: <br> T/t-4=t+4/6
S_A_V [24]
\frac{t}{t-4}= \frac{t+4}{6} \\ t \neq 4 \\ 6t=  (t+4)(t-4) \\ 6t=t^2-16 \\ t^2-6t-16=0 \\ D=b^2-4ac=(-6)^2-4*1*(-16)=36+64=100 \\ t_{1,2}= \frac{-bб \sqrt{D} }{2a}  \\ t_1= \frac{6-10}{2}=-2 \\  \ t_2= \frac{6+10}{2}=8

Answer: t=-2, t=8
4 0
2 years ago
Solve the equation 6x^2 + 15x + 3= 2x^2 to the nearest tenth.
Slav-nsk [51]

Answer:

x = -0.2 and x = -3.5

Step-by-step explanation:

Combine like terms in the given equation, by subtracting 2x^2 from both sides:

6x^2 + 15x + 3 = 2x^2

-2x^2                = -2x^2

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

4x^2 + 15x + 3 = 0

This is a quadratic equation.  We'll find the two solutions using the quadratic equation

      -b ± √(b^2 - 4ac)

x = ---------------------------

                  2a

Here the coefficients of the quadratic are a = 4, b = 15 and c = 3.

Thus, the discriminant b^2 - 4ac is 15^2 - 4(4)(3), or +177

and from that we know we'll find two real, unequal roots.

                                -15 ± √177

The roots are:  x = ------------------- , or x = -0.2 and x = -3.5

                                         8

5 0
2 years ago
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