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mina [271]
3 years ago
6

Simplify: 3m/m-6*5m^3-30m^2/5m^2A.7B.m+7C.m+8D.3m

Mathematics
2 answers:
VLD [36.1K]3 years ago
8 0
<span>I think you meant this: (3m/m-6)*(5m^3-30m^2/5m^2)
If that's the case, the simplified form:
=3m</span>
Scilla [17]3 years ago
5 0

Answer:

D. 3m

Step-by-step explanation:

We have been given an expression \frac{3m}{m-6}\times \frac{5m^3-30m^2}{5m^2}. We are asked to simplify our given expression.

First of all, we will factor our expression as:

\frac{3m}{m-6}\times \frac{5m^2(m-6)}{5m^2}

To simplify our given expression, we need to cancel out common factors as shown below:

\frac{3m}{1}\times \frac{5m^2}{5m^2}

\frac{3m}{1}\times 1

3m

Therefore, the simplified form of our given expression would be 3m and option D is the correct choice.

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The distance between the points (12,9) and (0,4) is A) 14 units B) 13 units C) 15 units D) 16 units
Juliette [100K]

Answer:

Option B  13 units is correct.

Step-by-step explanation:

The formula used to find distance between 2 points is:

d(P1,P2)=\sqrt{(x_{2} -x_{1})^2 + (y_{2} -y_{1})^2 }

x₁ = 12 x₂ = 0 y₁= 9 and y₂=4

Putting values in the formula:

=\sqrt{(0-12)^2+(4-9)^2}\\=\sqrt{(-12)^2+(-5)^2}\\=\sqrt{144+25} \\=\sqrt{169} \\=13

So, Option B 13 units is correct.

6 0
3 years ago
Read 2 more answers
Stephen record the growth of a plant over 10 weeks for his science project he made a graph that shows how much the plant group e
vazorg [7]

Answer:

y= 6/5x + 2

If you substitute the points (5,8) you get:

8 = 6/5 × 5 + 2

8 = 6 + 2

Step-by-step explanation:

5 0
3 years ago
The following data on average daily hotel room rate and amount spent on entertainment (The Wall Street Journal, August 18, 2011)
Zielflug [23.3K]

Answer:

a. Predicted Amount = $109.46

b. Confidence Interval = (94.84,124.08)

c. Interval = (110.6883,188.8517)

Step-by-step explanation:

Given

ŷ = 17.49 + 1.0334x.

SSE = 1541.4

a.

ŷ = 17.49 + 1.0334(89)

ŷ = 109.4626

ŷ = 109.46 --- Approximated

Predicted Amount = $109.46

b.

ŷ = 17.49 + 1.0334(89)

ŷ = 109.4626

ŷ = 109.46

First we calculate the standard deviation

variance = SSE/(n-2)

v = 1541.4/(9-2)

v = 1541.4/7

v = 220.2

s = √v

s = √220.2

s = 14.839

Then we calculate mean(x) and ∑(x - (mean(x))²

X --- Y -- Mean(x) --- ∑(x - (mean(x))²

148 -- 161 -- 43-- 1849

96 || 105|| -9 || 81

91 ||101 || -14 || 196

110 || 142 || 5 || 25

90 || 100 || -15 || 225

102 || ||120 ||-3|| 9

136 || 167 ||31 ||961

90 || 140 ||-15 ||225

82 || 98 ||-23 || 529

Sum 945 || 1134|| 0 ||4100

Mean (x) = 945/9 = 105

∑(x - (mean(x))² = 4100

α = 1 - 95% = 5%

α/2 = 2.5% = 0.025

tα,df = n − 2 = t0.025,7 =2.365

Confidence interval = 109.46 ± 2.365 * 14.839 √((1/9)+ (89-105)²/4100

Confidence Interval = (109.46 ± 14.62)

Confidence Interval = (94.84,124.08)

c.

ŷ = 17.49 + 1.0334(128)

ŷ = 149.7652

ŷ = 149.77

Interval = 149.77 ± 2.365 * 14.839 √((1/9)+ (128-105)²/4100

Interval = 149.77 ± 39.0817

Interval = (110.6883,188.8517)

3 0
3 years ago
a man takes 20 steps to cover a distance of 18 metre how many steps will he needto take to cover a distance of 396 m​
Ivenika [448]

Answer:

440 steps

Step-by-step explanation:

396 divided by 18 is 22

22 times 20 is 440

(I could be wrong )

5 0
2 years ago
A motorbike is worth £6500. Each year the value of the motorbike decreases by 35%. Work out the value of the motorbike at the en
Jet001 [13]
$4225 first year
$2746.25 second year
$1785.0625 third year
6 0
2 years ago
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