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3 years ago

What is the common difference of the sequence 20, 17, 14, 11, 8.... ?

Mathematics

2 answers:

Vinvika [58]3 years ago

8 0

Answer:

-3

Step-by-step explanation:

every sequence goes down by -3

ryzh [129]3 years ago

6 0

Answer:

take away 3. the common difference is 3

Step-by-step explanation:

take away 3

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Find the sum of the first 8 terms of the sequence. Show all work for full credit.

aliina [53]

$1, -3, -7, -11, ...\ \ \ \ \rightarrow\ \ \ the\ arithmetic\ sequence\\\\the\ difference\ of\ the\ sequence\ is\ \ \ \ d=-3-1=-4\\\\the\ sum:\ \ \ \ S_n= \frac{\big{2\cdot a_1+(n-1)\cdot d}}{\big{2}} \cdot n\\\\\\S_8= \frac{\big{2\cdot1+(8-1)\cdot(-4)}}{\big{2}} \cdot8=(2-28)\cdot4=-26\cdot4=-104\\\\Ans.\ The\ sum\ is\ -104.$

4 0

3 years ago

Read 2 more answers

Can someone answer this for me? Please

svetoff [14.1K]

1. Is two minutes because you can see that the rate stays the same until that point.
2. 10 cm because that’s what it shows on the side
3. 30 cm as that’s where the water stops rising
4. 3 minutes
5, 25 cm because that’s where the water stops
6. 2 minutes
Hope this helps!

3 0

2 years ago

A patient drinks 5 12ounce cups of coffee daily. The doctor recommends cutting back 60%, how many ounces of coffee can the patie

maksim [4K]

The patient is recommended to take 24 ounces of coffee per day.

Step-by-step explanation:

Patient normal intake of coffee daily = 5 times 12 ounces

= 5 × 12 = 60 ounces

Doctor recommends to cut off 60 % of the normal intake of coffee.

And advised to take only 40 % of the daily intake of coffee.

So 60 % of 60 ounces can be calculated as,

$$\frac{60 \times 60}{100}$ = 36 ounces

40 % of 60 ounces is 24 ounces.

So 60 - 36 = 24 ounces of coffee per day

6 0

3 years ago

5/6+2i Aka 5 ___ 6+2y Ignore my answer its probably wrong

liberstina [14]

Answer:

(3/4) -(1/4)i

Step-by-step explanation:

Your answer is correct.

$\dfrac{5}{6+2i}=\dfrac{5(3-i)}{2(3+i)(3-i)}=\dfrac{5(3-i)}{2(9+1)}\\\\=\dfrac{3-i}{4}=\dfrac{3}{4}-\dfrac{1}{4}i$

8 0

3 years ago

All the given quadrilaterals in the picture on the right are squares and #1 ≅ #3, #2 ≅ # 4. find the area of the shaded region,

Anika [276]

Answer:

Step-by-step explanation:

If you have a square of side $l$ , its diagonal would be $l\sqrt{2}$ , and its area $l^2$

If the big square has a area of 900, this implies that its side is $\sqrt{900}$ , so the two diagonal of squares 2 and 4 added together would be $\sqrt{900}$ , therefore one diagonal wold be $\frac{\sqrt{900}}{2}$ . and its side $\frac{\sqrt{900}}{2}\frac{1}{\sqrt{2}}$ . The area (of one square) is $(\frac{\sqrt{900}}{2}\frac{1}{\sqrt{2}})^2=\frac{225}{2}$

finally the two areas combined (squares 2 and 4) would be 225

6 0

3 years ago