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3 years ago

What is the 100th term in the sequence 5,9,13,17,21

Mathematics

2 answers:

Leya [2.2K]3 years ago

7 0

Answer:

Step-by-step explanation:

it is on 100th place so 100th term is 13

anyanavicka [17]3 years ago

5 0

Answer:

401

Step-by-step explanation:

arithmetic sequence formula: an=a1+d(n-1)

n= term # you're looking for

d= common difference

a1= 1st term in sequence

a100=5+4(100-1)

5+4(99)

5+396

a100=401

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Now given a rope hanging from the top of a pole. The end lying on the ground is 3 chi long. When tightly stretchedit is 8 chi fr

drek231 [11]

Answer:

Height of the pole = 9.17 chi.

Length of the rope = 12.17 chi.

Step-by-step explanation:

Given that the rope is hanging from the top of a pole having height x chi and the portion of the rope lying on the ground is 3 chi.

So, the length of the rope= x + 3 chi.

Let AB represents the pole in the figure, and one end of the rope is at point A.

When the rope is tightly stretched, let C be the other end of the rope as shown in the triangle.

The length of the rope = AC.

\Rightarrow AC=x+3 chi.

Distance from the bottom of the pole, point A, to the other end of the pole, point B, is 8 chi.

So, BC=8 chi.

As the triangle ABC is a right-angled triangle, so by using Pythagoras theorem,

$AC^2= AB^2+BC^2$

$\Rightarrow (x+3)^2=x^2+8^2$

$\Rightarrow x^2+6x+9=x^2+64$

$\Rightarrow 6x=64-9=55$

$\Rightarrow x=55/6=9.17$ chi.

Hence, the height of the pole, $AB=x=9.17$ chi,

and the length of the rope, $x+3=9.17+3=12.17$ chi.

8 0

3 years ago

Anna has a recipe for pumpkin bars. She uses 2 ½ cups of sugar for every 3 pans of pumpkin bars. AJ wants to follow the same rec

Kisachek [45]

Answer:

$2.5h = 3g$

Step-by-step explanation:

Given

$Sugar = 2\frac{1}{2}\ cups$

$Bars = 3\ pans$

Required

Determine the equation for h pans and g cups

We have that:

$Sugar = g$

$Bars = h$

To do this, we make use of the following equivalent ratios.

$Bars : Sugar = Bars : Sugar$

So, we have:

$3 : 2\frac{1}{2} = h : g$

Express fraction as decimal

$3 : 2.5 = h : g$

Express as fraction

$\frac{3}{2.5} = \frac{h}{g}$

Cross multiply

$2.5h = 3g$

No options were given. So, I will stop here

8 0

3 years ago

10. Liliana makes and sell homemade bracelets. She made a profit of $75 last week. She donated some bracelets to charity. This w

Leona [35]

Answer:

75+(-50)=75-50

Step-by-step explanation:

-let x be the profit made last week and y be the profit made this week.

-The two week profit/ loss is given as:

$Profit=x+y$

#We substitute actual values to calculate the profit/loss made:

$Profit=x+y\\\\=75+(-50)\\\\=75-50\\\\=\$25$

Hence, the two-week combined profit is $25.00

4 0

4 years ago

Adeline must read 126 page book in 4.5 days she wants to read the same number of pages each day how many pages does she need to

expeople1 [14]

Answer:

28 pages per day

Step-by-step explanation:

126 divided by 4.5 = 28

I hope this helps :3

8 0

3 years ago

HELLP PLSS (-2 and 1/9) - (-4 and 1/3) = x Find the value of x

dedylja [7]

Answer:

x = 20/9

Step-by-step explanation:

We want to write out all of the mixed fractions into improper fraction form. So -2 and 1/9 becomes -19/9 and -4 and 1/3 becomes -13/3. Then we get (-19/9) - (-13/3). The two minus signs together means a positive/plus sign, so we get -19/9 + 13/3. In order to add, we want the denominator to be the same. A common denominator could be 9, so -19/9 + 13(3)/3(3) = -19/9 + 39/9 = 20/9, which is our final answer

8 0

3 years ago