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zvonat [6]
3 years ago
5

Combine like terms to simplify -1(2/7b + 9) -8

Mathematics
1 answer:
Rus_ich [418]3 years ago
8 0

Simplify 2/7b to 2b/7

-1 × (2b/7 + 9) - 8

Simplify 1 × (2b/7 + 9) to (2b/7 + 9)

-(2b/7 + 9) - 8

Simplify brackets

-2b/7 - 9 - 8

Collect like terms

-2b/7 + (-9 - 8)

Simplify

<u>-2b/7 - 17</u>

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In 2000, an invasive plant species covered 0.2% of an island. for the 5 years that followed, the area covered by the plant tripl
Elden [556K]

Answer:

The statement is correct

see the explanation

Step-by-step explanation:

we know that

The equation of a exponential growth function is equal to

y=a(1+r)^x

where

y  is the area covered by the plant in percentage

x is the time in years since 2000

r is the rate of change

a is the initial value

In this problem we have

r=200\%=200/100=2

a=0.2\%

substitute the values

y=0.2(1+2)^x

y=0.2(3)^x

In the year 2005

x=2005-2000=5\ years

substitute the value of x in the exponential function

y=0.2(3)^5=48.6\%

48.6% is about 50%

therefore

The statement is correct

5 0
3 years ago
Jake has 6 quarters 2 dimes and a nickel does he have enough to buy a dog bone that costs 1.49?
Darina [25.2K]

Answer:

Jake does have enough to buy a dog bone that cost $1.49

Step-by-step explanation:

6 quarters = $1.50

2 dimes = $0.20

1 nickel = $0.05

So add it all together: $1.50 + $0.20 + $0.05 = $1.75

7 0
2 years ago
Two college instructors are interested in whether or not there is any variation in the way they grade math exams. They each grad
AlekseyPX

Answer:

Since the calculated value of F = 1.4397 is less than the critical value of

F (9,9)= 2.4403 we conclude that the  first instructor's variance is smaller and reject H0.

Step-by-step explanation:

1)Formulate the hypothesis that first variance is equal or greater than the second variance

H0: σ₁²≥σ₂²  against the claim  that the first instructor's variance is smaller

 Ha: σ₁²< σ₂²

2) Test Statistic F= s₂²/s₁²

F= 84.8/ 58.9=  1.4397

3)Degrees of Freedom = n1-1= 10-1= 9  and n2 = 10-1= 9

4)Critical value   at 10 % significance level= F(9,9)= 2.4403

5)Since the calculated value of F = 1.4397 is less than the critical value of

F (9,9)= 2.4403 we conclude that the  first instructor's variance is smaller and reject H0.

4 0
2 years ago
Simplify: (22 + 34)−2 A) (56)^−2 B) 852 C) 1 7225 D) 1 85
marishachu [46]

Answer:

A) (56)^−2

Step-by-step explanation:

(22 + 34)^−2

Parentheses first

22+34= 56

56 ^-2

4 0
3 years ago
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The collection on an account within the 1/10 n/30 discount period was recorded using a 10% discount rather than a 1% discount in
ivann1987 [24]
<span>the net income for the period to be understated.

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7 0
3 years ago
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