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2 years ago

10

A milestone occurring in which of these increments of time will be the farthest to the right on a timeline? A. 10 months B. 90 d

ays C. 8 years D. 16 weeks

1 answer:

Naya [18.7K]2 years ago

6 0

Answer:

Step-by-step explanation:

16

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Naledi climbed up a mountain. Her initial altitude was 40 meters above sea level, and it increased by 10 meters each hour.Let )g

Goshia [24]

Answer:

$U_{n} = (40) + (n - 1)(10)$

Step-by-step explanation:

The constant increase every hour indicates a linear correlation, which can be represented by an arithmetic sequence.

The nth term formula is a formula for any specific term you wish to find.

The formula is:

$U_{n} = a + (n - 1)d$

a = starting value of the sequence

d = the common difference (i.e. the difference between any two consecutive terms of the sequence)

n = the value corresponding to the position of the desired term in the sequence (i.e. 1 is the first term, 2 is the second, etc.)

Un = the actual vaue of the the term

In this case:

a = 40

d = 10

And so, the nth term formula is:

$U_{n} = (40) + (n - 1)(10)$

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2 years ago

Read 2 more answers

A farmer has 300 ft of fencing with which to enclose a rectangular pen next to a barn. The barn itself will be used as one of th

Katarina [22]

Let x represent the length of the side of the pen that is parallel to the barn. Then the area (y) will be
.. y = x(300 -x)/2
This describes a downward opening parabola with zeros at x=0 and x=300. The vertex (maximum) will be found at the value of x that is halfway between those, x = 150.

For that value of x, the pen area is
.. y = 150(300 -150)/2 = 150^2/2 = 11,250 . . . . . square feet.

5 0

2 years ago

An online furniture store sells chairs for $200 each and tables for $600 each. Every day, the store can ship a maximum of 32 pie

wolverine [178]

Answer:

If the minimum 13 chair were sold , then the minimum number of Table sold is 14

Step-by-step explanation:

Given as :

The cost of each chair = $ 200

The cost of each table = $ 600

The total number of furniture sold per day = 32

The minimum amount of selling per day = $ 12000

Let the total number of chair = C

The total number of table = T

So , according to question

C + T = 32 .......1

200 C + 600 T = 12000 .......2

Solving eq 1 and 2

200 C + 600 T = 12000

200 × ( C + T ) = 32 × 200

I.e 200 C + 200 T = 6400

or, ( 200 C + 600 T ) - ( 200 C + 200 T ) = 12,000 - 6400

Or, 400 T = 5600

∴ T = $\frac{5600}{400}$

I.e T = 14

Put The value of T in eq 2

So, 200 C + 600 × 14 = 12000

or , 200 C + 8400 = 12,000

Or, 200 C = 12000 - 8400

Or, 200 C = 3600

∴ C = $\frac{3600}{200}$

I.e C = 18

The number of chair sold is 18

If the number of chair sold is 13 ,

Then the min number of table sold = 200 × 18 + 600 T = 12000

i.e 600 T = 12000 - 3600

or, 600 T = 8400

∴ T = $\frac{8400}{600}$

I.e T = 14

Hence if the minimum 13 chair were sold , then the minimum number of Table sold is 14 . Answer

5 0

2 years ago

The point R is halfway between the integers on the number line below and represents the number ____. (Use the hyphen for negativ

wariber [46]

Answer: - 2.5

Step-by-step explanation:

Using the attached number line has reference, the distance between each integer on the number line attached is 1, and the numbers are ordered in ascending order from - 10 to + 10. The point R exists in between the point marked - 2 and - 3 respectively. This shows that that point R is a number between the two integers, a number greater than - 3 but less than - 2.

From the picture attached the blue dot sits directly at the midpoint between - 3 and - 2. Hence the position can be a obtained by averaging the two integers.

(-3 + - 2) / 2 = - 5/2 = - 2.5

3 0

2 years ago

ABC and AED are straight lines.

grandymaker [24]

Answer:

CD = 5.7 cm
ED = 3.05 cm

Step-by-step explanation:

a) ΔACD ~ ΔABE so the ratios of corresponding sides are the same. That is ...

CD/BE = CA/BA

CD/3.8 = 12.3/8.2

CD = 3.8×12.3/8.2 = 5.7 . . . . cm

__

b) As above, the ratios of corresponding sides are the same.

ED/AD = BC/AC

ED/9.15 = (12.3-8.2)/12.3 . . . . BC = AC - AB

ED = 9.15×4.1/12.3 = 3.05 . . . . cm

6 0

2 years ago