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nexus9112 [7]
3 years ago
13

7.8 + 2(0.75m + 0.4) = -6.4m + 4(0.5m - 0.8)

Mathematics
2 answers:
sesenic [268]3 years ago
7 0

Answer :

m = 13.4/4.65

Step by step :

7.8 + 2(0.75m + 0.4) = -6.4m + 4(0.5m - 0.8)

7.8 + 2.75m + 0.8 = -6.4m + 4.5m - 4.8

2.75m + 6.4m - 4.5m = -7.8 - 0.8 - 4.8

4.65m = 13.4

m = 13.4/4.65

Pavel [41]3 years ago
7 0

Answer:

B

Step-by-step explanation:

She is incorrect because when substituting 2 for m the result was a false statement.

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Consider an object moving along a line with the given velocity v. Assume t is time measured in seconds and velocities have units
Yakvenalex [24]

Answer:

a) positive direction: t < 2s & t>6s   ; negative direction: 2s < t < 6s

b) 7 m

c) 71 m

Step-by-step explanation:

Given:

v(t) = 3t^2 -24t +36   [0 , 7]

Find:

a) The value of time when particle is moving in positive direction:

The change in direction of the particle can be determined by v(t) > 0

Hence,

                                    0 < 3t^2 -24t +36

                                    0 < t^2 - 8t + 12

                                    0 < (t - 2)*(t - 6)

                                    t < 2s  , t  > 6s  

The particle travels in positive direction in the interval t < 2s and t > 6s , While it travels in negative direction when 2s < t < 6s.

b) The displacement ds over the given interval [ 0 , 7 ]

                                  ds = integral (v(t)).dt

                                  ds = t^3 -12t^2 +36t

                                  ds = 7^3 -12*7^2 +36*7

                                  ds = 7 m

c) Total distance traveled in the interval:

                                 Total distance= ds(0-2) + ds(2-6) + ds(6-7)

                                 D = 2*(2^3 -12*2^2 +36*2) - 2*(6^3 -12*6^2 +36*6) + 7

                                 D = 2*32 - 2*0 + 7

                                 D = 71 m          

     

6 0
3 years ago
Vertical angles 4x+7 and [5(x-4)] what is the value of x
choli [55]

Answer:

x = 27

Step-by-step explanation:

vertical angles are congruent , then

5(x - 4) = 4x + 7 ← distribute parenthesis on left side

5x - 20 = 4x + 7 ( subtract 4x from both sides )

x - 20 = 7 ( add 20 to both sides )

x = 27

5 0
2 years ago
Read 2 more answers
This is confusing someone help please
Marat540 [252]

Answer:

Below in BOLD.

Step-by-step explanation:

5x^2 - 6x - 2 = 0

Quadratic formula for ax^2 + bx + c = 0  is

x =  [-b ± √(b^2 - 4ac)]/ 2a    

Here we have a = 5, b = -6 and c = -2

so x =  [-(-6)  ± √((-6)^2 - 4*5*-2)]/ 2*5

=  [ 6 ± √(36 + 40)] / 10

= 0.6 ±  √76 / 10

= 0.6 ±  0.8718

= 1.4718,  -0.2718

= 1.5, -0.3 to one decimal place.

x^2 + 3x = 40

x^2 + 3x - 40 = 0

We can factor this one:

(x - 5)(x + 8) = 0

x - 5 = 0 giving x = 5 and

x + 8 = 0 giving x = -8.

Answer  x = -8, 5.

4 0
1 year ago
A system of regular payments for when something bad happens
valentinak56 [21]

the answer is b. insurance

6 0
3 years ago
Cindy found a collection of baseball cards in her attic worth $8,000. the collection is estimated to increase in value by 1.5% p
Sergio [31]
A]
Exponential function is given by the form:
y=a(b)ˣ
where:
a=initial value
b=growth factor
From the question:
a=$8000, b=1.015, 
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y=8000(1.015)ˣ

b] The value of the collection after 7 years will be:
x=7 years
Using the formula:
y=8000(1.015)ˣ
plugging the values we get:
y=8000(1.015)⁷
y=8,878.76

Answer: $8,878.76
7 0
3 years ago
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