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murzikaleks [220]
3 years ago
5

Helppp! (m−3+4n)⋅(−8)

Mathematics
1 answer:
-BARSIC- [3]3 years ago
4 0

Answer:

-8m + 3 - 32n

Step-by-step explanation:

Distributive Property

-8m + 3 - 32n

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Which ordered pair is a solution to the system of linear equations?
Mamont248 [21]
Step 1: Substitute the value of x into the equation
x= 3-3/2y
-3x+5y=10

Step 2: Solve the equation
-3(3-3/2y)+5y=10

Step 3: Substitute the value of y into the equation
Y=2

Step 4: Solve the equation
X=3-3/2×2 = X=0


Answer: (0,2)
4 0
3 years ago
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find the equation for the line that passes through the point (5, 2), and that is parallel to the line with the equation x=-4
BabaBlast [244]
Y-y1=m(x-x1)
y-2=-4(x-5)
y-2=-4x+20
y-2+2=-4x+20+2
y=-4x+22
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3 years ago
Fractions from 6 to 7, with an interval of between each pair of fractions
EastWind [94]

Answer:

6.7

Step-by-step explanation:

3 0
3 years ago
A ball is dropped from 16 feet above a hard surface. After each time it hits the surface, it rebounds to a
sweet [91]

Answer:

a) Total distance travelled to the nearest foot = 105ft

b) First 5 terms = 12, 9, 6.75, 5.0625, 3.796875

Step-by-step explanation:

From the question above, we can see that this is a geometric series or progression

Formula for geometric progression:

Tn = arⁿ-¹

Where

a = first term

r = common ration

n = number of terms

From the question, we are told that the ball dropped from 16 feet

Hence First term(a) = 16

We are told that the ball rebounds to 3/4 of it's previous height anytime it hits the surface.

Hence, common ratio(r) = 3/4

a) We are told to find total distance to the nearest foot that the ball travelled when it strikes the ground for the 10th time

This means we are to find the sum of the first 10 terms.

Because the ball rises and falls, we would use the rises form

Where the first term = 12 and the number of times is 9 because it rises 9 times

The formula we would use to find this sum is based on if the common ratio is less than or greater than 1

Our common ratio = 3/4, hence it is less than 1.

When r< 1, sum of n terms =

Sn = a(1 - rⁿ)/ 1 - r

It is important to

Where a = 12

r = 3/4

n = 9

Sn = 12( 1 - (3/4)^9) / 1- 3/4

Sn = 104.79ft

Approximately = 105ft

b) First five terms

Using the formula

Tn = arⁿ-¹

Where

a = first term = 12

r = common ration

n = number of terms

First term, n = 1 = 12 × 3/4^(1-1)

= 12 × 3/4 ^(0)

= 12× 1

= 12

Second term, n = 2 = 12 × 3/4^(2-1)

= 12 × 3/4 ^(1)

= 36/4

= 9

Third term, n = 3 = 12 × 3/4^(3-1)

= 12 × (3/4)²

= 6.75

Fourth term, n = 4= 12 × 3/4^(4-1)

= 12 × (3/4)³

= 5.0625

Fifth term, n = 5 = 12 × 3/4^(5-1)

= 12 × (3/4)⁴

= 3.796875

Therefore, the first 5 terms = 12, 9, 6.75, 5.0625, 3.796875

4 0
3 years ago
Triple a number is 18.
Nataly_w [17]

hi

so 3X = 18

      X = 18/3 = 6

6 0
2 years ago
Read 2 more answers
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