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lina2011 [118]
3 years ago
12

What is the explicit formula for the sequence? 7, 2, –3, –8, –13, . . .

Mathematics
1 answer:
suter [353]3 years ago
8 0
The explicit formula for the sequence is -5n + 12
You might be interested in
In the radius of a circle with an area of 10 inches squared is reduced by half what is the area of the new circle
Sphinxa [80]

Answer:

Hence when the radius is halved the area is divided by 4

2.5 inches^2

Step-by-step explanation:

Given data

Area= 10inches^2

We know that the expression for the area of  a circle is given as

Area= πr^2

10= 3.142*r^2

10/3.142= r^2

r^2= 3.18

Square both sides

r= √3.18

r= 1.78 inches

Now let us half the radius and find the area of the new circle

r/2= 1.78/2

r= 0.89

Area of the new circle is

Area= 3.142*0.89^2

Area= 3.142*0.7921

Area= 2.5 inches^2

7 0
3 years ago
Help asap now now ok thx
Vlad [161]

Ok, so you got the parent function y = x^2 and it changed to y = x^2 -8

#'s inside the parenthesis would move it left or right and #'s outside the parenthesis would move it up or down. Since there are no parenthesis the x coordinate is 0, hence it doesn't move left or right. Because of this we know that the graph will be moved up or down. Now we look to see is the # negative or positive. If negative, we move it down. If positive, we move it up. Looking at this problem, we see that it will move it down. Next look at the #. This will indicate how <em>much</em> you will move the graph. In this problem, we will move the graph down 8.

Therefore,

When you change the graph y = x^2 to y = x^2 -8, you are moving the graph down 8.

7 0
3 years ago
Read 2 more answers
An average male African elephant has a mass of about 7,100 kilograms. What is the mass of an elephant, in grams?
steposvetlana [31]
The mass of the elephant in grams is 7,100,000.

Explanation:
There are 1000 grams in one kilogram. To find out how many grams are in 7100 kilograms, we multiply 1000 and 7100 to get 7,100,000. Therefore, the answer is 7,100,000 grams.
7 0
3 years ago
Read 2 more answers
A single card is drawn from a standard​ 52-card deck. Let B be the event that the card drawn is a black​, and let F be the event
Galina-37 [17]

Answer:

0.6154 or 61.54%

Step-by-step explanation:

The joint probability P(B′∪F) is given by the sum of each individual probability minus the intersection between both probabilities (red face cards).

P(B'\cup F) = P(B')+P(F)-P(B'\cap F)

The inverse probability of a card being black is also the probability of a card being red, which is 26 in 52. There are 12 face cards in a 52-card deck, 6 of which are not black, therefore:

P(B'\cup F) = \frac{26}{52} +\frac{12}{52}-\frac{6}{52}\\P(B'\cup F) = \frac{32}{52} = \frac{8}{13} =0.6154

5 0
3 years ago
A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inc
Ugo [173]
OK once you do the math and find the volume of the cone it comes out to 150.8
and the cylinders volume comes out to 301.6  the relationship between them is that the the cones volume is 2x smaller than the cylinders volume so two cones would equal one cylinder.
4 0
3 years ago
Read 2 more answers
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