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Over [174]
3 years ago
12

What sequence starts with 1 and has a common difference of 2

Mathematics
1 answer:
olga2289 [7]3 years ago
8 0

Answer:

A(1) =1

A(n) = A(n-1) +2

=> 1, 3, 5, 7, 9, ...

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2) A cake in the shape of a circus tent is used as a centerpiece at a celebration. The cake consists of a cylinder and a cone.Th
zavuch27 [327]
<span>You have:
 
 - The diameter of the cylinder is 12 inches and its height is 14 inches.
 -The height of the cone is 6 inches.
 
 So, you must apply the formula for calculate the volume of the cylinder a the formula for calculate the volume of a cone. 
 
 V1=</span>πr²h
 <span>  
 V1 is the volume of the cylinder.
 r is the radius.
 h is the height (h=14 inches)
 
 The problem gives you the diameter, but you need the radius, so you have:
 
 r=D/2
 r=12 inches/2
 r=6 inches
 
 When you substitute the values into the formula, you obtain:
 
 V1==</span>πr²h
 V1=(3.14)(6 inches)²(14 inches)
 V1=1582.56 inches³<span>
 
 The volume of the cone is:
 
 V2=(</span>πr²h)/3
<span> 
 V2 is the volume of the cone.
 r is the radius (r=6 inches)
 h is the height of the cone (h=6 inches).
 
 Then, you have:
</span> 
 V2=(πr²h)/3
 V2=(3.14)(6 inches)²(6 inches)/3
 V2=226.08 inches³
<span> 
 Therefore, </span>the volume of the cake<span> (Vt) is:
 
 Vt=V1+V2
 Vt=</span>1582.56 inches³+226.08 inches³
<span> Vt=1808.6 inches</span>³
8 0
3 years ago
How do you simply 3x-7+9-2x=x+2
Gre4nikov [31]

Answer:

x+2=x+2

Step-by-step explanation:

Combine like terms

3x+(-2x) and (-7)+9

x+2=x+2

7 0
3 years ago
Part D:
Arisa [49]

Answer:

<h2>Adults and Seniors tendo to by more Unlimited Meals tickets</h2>

Step-by-step explanation:

The relation between the park guest and the type to ticket is that Adults and Seniors tendo to by more Unlimited Meals tickets, because they don't play that much in the park, children do.

Therefore, there's a relation that aroun Unlimited Meals tickets and Adults-Seniors costumers: they tend to get these tickest more than children.

7 0
4 years ago
For a certain commodity the supply equation is given by S = 2p + 5 At a price of $1, there is a demand for 19 units of the commo
slava [35]

Answer:

The demand equation is: D=-4p+23

Step-by-step explanation:

To get started, we should keep in mind that the market price (p=3) occurs when supply equals demand ,therefore when p=3

S=2(3)+5=11

Thus, when p=3 D=11 and, according to the problem  when p=1 D=19.

We already know two points on the demand curve. Great!

The demand equation is linear, so it has form D=bp+c.

The variable b is the slope of  the demand linear equation . It can be computed through the formula

b=\frac{y2-y1}{x2-x1}.  equation 1

Substituting the two points (3,11) and (1,19) on equation 1.

b=\frac{19-11}{1-3} =\frac{8}{-2}

b=-4

Now we can find the value of  intercept of the demand equation c trough point-slope form y-y1=b(x-x1).

We can use any of the points. Let's take (3,11) and write in point-slope :

y-11=-4(x-3)

y=-4x+11+12

y=-4x+23

Rewrite the linear equation according our variables D and p

D=-4P+23

Finally we found the demand equation !

5 0
3 years ago
Determine the line symmetry for figure.
mel-nik [20]

Answer:

where's the problem  

Step-by-step explanation:

3 0
3 years ago
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