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UNO [17]
2 years ago
15

Grant simplified the expression 1.5(-3.2 + 2.5) His work is shown below explain the error in grants work

Mathematics
1 answer:
nata0808 [166]2 years ago
8 0

Answer: (i think there was supposed to be a photo attached but ???)

-1.05

Step-by-step explanation:

1.5(-3.2 + 2.5)

1.5 x -3.2 = -4.8

1.5 x 2.5 = 3.75

(-4.8 + 3.75)

<u>-1.05</u>

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What is the greatest common factor GCF of 30,66. 84​
Anon25 [30]

Answer:

6

Step-by-step explanation:

Factorize of the above numbers :

30 = 2 • 3 • 5

66 = 2 • 3 • 11

84 = 22 • 3 • 7

Build a prime factors table

Number of times each prime factor

appears in the factorization of :

Prime

Factor Number

30 Number

66 Number

84 G.C.F

(min)

2 1 1 2 1

3 1 1 1 1

5 1 0 0 0

7 0 0 1 0

11 0 1 0 0

GCF = 2 • 3

Greatest Common Factor is :

6

8 0
2 years ago
World wind energy generating1 capacity, W , was 371 gigawatts by the end of 2014 and has been increasing at a continuous rate of
Sunny_sXe [5.5K]

Answer:

a) W(t) = 371(1.168)^{t}

b) Wind capacity will pass 600 gigawatts during the year 2018

Step-by-step explanation:

The world wind energy generating capacity can be modeled by the following function

W(t) = W(0)(1+r)^{t}

In which W(t) is the wind energy generating capacity in t years after 2014, W(0) is the capacity in 2014 and r is the growth rate, as a decimal.

371 gigawatts by the end of 2014 and has been increasing at a continuous rate of approximately 16.8%.

This means that

W(0) = 371, r = 0.168

(a) Give a formula for W , in gigawatts, as a function of time, t , in years since the end of 2014 . W= gigawatts

W(t) = W(0)(1+r)^{t}

W(t) = 371(1+0.168)^{t}

W(t) = 371(1.168)^{t}

(b) When is wind capacity predicted to pass 600 gigawatts? Wind capacity will pass 600 gigawatts during the year?

This is t years after the end of 2014, in which t found when W(t) = 600. So

W(t) = 371(1.168)^{t}

600 = 371(1.168)^{t}

(1.168)^{t} = \frac{600}{371}

(1.168)^{t} = 1.61725

We have that:

\log{a^{t}} = t\log{a}

So we apply log to both sides of the equality

\log{(1.168)^{t}} = \log{1.61725}

t\log{1.168} = 0.2088

0.0674t = 0.2088

t = \frac{0.2088}{0.0674}

t = 3.1

It will happen 3.1 years after the end of 2014, so during the year of 2018.

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Wendell has a box with 36 cherries he divides the cherries equally among 5 Friends and himself Bonnie received 6 she thinks she
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