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____ [38]
3 years ago
13

During the cold winter months, a sheet of ice covers a lake near the Arctic Circle. At the beginning of spring, the ice starts t

o melt. The variable sss models the ice sheet's thickness (in meters) ttt weeks after the beginning of spring. s=-0.25t+4s=−0.25t+4s, equals, minus, 0, point, 25, t, plus, 4 By how much does the ice sheet's thickness decrease every 666 weeks? meters
Mathematics
1 answer:
Masja [62]3 years ago
3 0

Answer: The ice sheet's thickness decrease every 6 weeks= 1.5 meters

Step-by-step explanation:

GIven: At the beginning of spring, the ice starts to melt. The variable sss models the ice sheet's thickness (in meters) t weeks after the beginning of spring. s=-0.25t+4

At t=0, s=4

So, Thickness of ice sheet at the beginning = 4 meters

Now at t= 6, we get

s=-0.25(6)+4=-1.5+4=2.5

Thickness of ice sheet after 6 weeks = 2.5 meters

Decrease in thickness = 4 meters - 2.5 meters = 1.5 meters

Hence, the ice sheet's thickness decrease every 6 weeks= 1.5 meters

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A marching band is arranged in rows of 7 the first row has 3 band members and each row after the first has 2 more band members t
pav-90 [236]

Answer:

a_{n}= 1+2n and 63

Step-by-step explanation:

the question belongs to arithmetic sequence and a_{n} can be determined by the formula

a_{n}= a1 + d (n-1)

Let " a_{n} " represents the number of band members in the nth row

and 'd' represents the common difference.( as stated each row  has 2 more band members than the row before it)

therefore, d=2

'a1' represents first row that has three members. So, a1 = 3

->Rule for nth term will be:

a_{n}= 3 + 2(n-1)

a_{n}= 3 + 2n -2

a_{n}= 1+2n

-> In order to find total number of band members 'S_{7}'

Let S_{n} represent total number in n rows

We'll use the formula, i.e  S_{n} = n/1 (a_{1} +  a_{n})

where, n is the number of terms, a_{1} is the first term and a_{n} is the last term

So,

n=7

a_{7} = 1 + 2(7)= 15

=>S_{7} = 7/2 (3 + 15)

S_{7} = 63

The total number of band members are 63

8 0
3 years ago
Sofia is learning to knit. After her first three stitches, she had to undo the last two. Then she made three more stitches and a
Marizza181 [45]
She’ll have to make 4 more stitches in order to get 6 good ones. Each time she creates 3 she undoes 2 which after 4 more times would leave her with 6 good stitches.
4 0
3 years ago
Suppose you want to represent a triangle with sides 12 feet, 16 feet, and 18 feet on a drawing where 1 inch = 2 feet. How long s
slega [8]

Answer:

<u>The correct answer is C. 6, 8 and 9 inches.</u>

Step-by-step explanation:

1. Let's review all the information provided for answering the questions properly:

Length of the sides of the triangle = 12 feet, 16 feet and 18 feet.

Scale used : 1 inch = 2 feet.

2. How long should the sides of the triangle be in inches?

For calculating the length of the sides of the triangle in the draw, we use the scale this way:

1st Side = 12 feet

12 feet/2 = 6 inches

2nd Side = 16 feet

16 feet/2 = 8 inches

3rd Side = 18 feet

18 feet/2 = 9 inches

<u>The correct answer is C. 6, 8 and 9 </u>

8 0
4 years ago
5x² + 4x - 20 = 0<br> Solve this using the quadratic formula
Natali [406]

Here's the answer, using the quadratic formula

8 0
3 years ago
A circle has a radius of 3 feet. What is the circumference of a bigger circle if the scale factor of the smaller to bigger is 4:
Vaselesa [24]
Big/small=4/7

r1/r2=4/7 where  r1, r2 are radius of a big and small circles respectively

r1/3=4/7

r1=12/7

circumference of a big circle is2πr1=2π*12/7=24π/7 cm
7 0
4 years ago
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