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Vlada [557]
3 years ago
6

A sequence is defined recursively using the formula f(n + 1) = f(n) – 5 . Which sequence could be generated using this formula?

Mathematics
1 answer:
ycow [4]3 years ago
4 0

Answer:

3, –2, –7, –12, ...

Step-by-step explanation:

f(n+1) = f(n) − 5

This means each term is 5 less than the term before it.

The only option that works is the third one.

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Tasya [4]
Uh I thought slope is y=mx+b..
3 0
3 years ago
Calculate the volume of water in the cup when it is full
maxonik [38]

To find:

The volume of the water in the cup when it is full.

Solution:

The volume of the water is equal to the difference of the volume of the small cone and the larger cone.

Here, the ratio of the radius of both cones is equal to the ratio of their heights. SO,

\begin{gathered} \frac{r}{2.7}=\frac{20}{20-8} \\ \frac{r}{2.7}=\frac{20}{12} \\ \frac{r}{2.7}=\frac{5}{3} \\ r=4.5 \end{gathered}

The radius of the larger cone is 4.5 cm.

So, the volume of the water is:

\begin{gathered} V=\frac{1}{3}\pi R^2H-\frac{1}{3}\pi r^2h \\ =\frac{1}{3}\pi(R^2H-r^2h) \\ =\frac{1}{3}\pi((4.5)^2(20)-(2.7)^2(12)) \\ =\frac{1}{3}\cdot\frac{22}{7}(405-87.48) \\ =\frac{22}{21}(317.52) \\ =332.64cm^2 \end{gathered}

The volume of water when the cup is full is 332.64 cm^2.

7 0
1 year ago
Which of the following statements are true of the hypotenuse of a right triangle?
OLEGan [10]
The hypotenuse is always the longest side, and it is always opposite the right angle. 
"Leg" is not a mathematical term. If it is being used to refer to one of the sides forming a right angle, the hypotenuse is not a "leg". 
8 0
3 years ago
The price of a book is $19.75. If a customer has a coupon that allows her to save $4.50 on the price of the book, how much will
serious [3.7K]

For this case we have that the original price of the book is given by:

$ 19.75

The customer has a coupon to save part of the price of the book.

Therefore, the customer will pay

19.75 - x

Where,

x: value of the customer coupon.

We know that the customer has a coupon that has a value of $ 4.50.

Substituting values we have:

19.75 - 4.50 = 15.25

Answer:

she will pay for the book 15.25 $

7 0
4 years ago
Using front-end estimation, find a reasonable estimate of:<br><br> 719 x 26
grigory [225]

Answer:

18684 I believe

Step-by-step explanation:

6 0
3 years ago
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