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3 years ago

12t-2<-5t+36 solve for t

Mathematics

2 answers:

agasfer [191]3 years ago

7 0

17t < 38
t < 38/17

Just like if the was an = sign

ss7ja [257]3 years ago

7 0

17t < 38

t < 38/17

Step-by-step explanation:

Hope this helps ya!

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A portion of the Quadratic Formula proof is shown. Fill in the missing statement.

Angelina_Jolie [31]

$x+\frac{b}{2a}=\pm \frac{\sqrt{b^2 -4ac}}{2a}$

8 0

2 years ago

determine if the sequence is geometric if it is find the common ratio the 8th term and the explicit formula can someone check my

mylen [45]

Answer:

You can check the answer by yourself after seeing the below answer.

Step-by-step explanation:

A sequence is geometric only if has common ratio i.e. $r=\frac{a2}{a1} =\frac{a3}{a2}$ whiere a1,a2 and a3 are first,second and third term of the sequence respectively.

1) Common ratio $r=\frac{-18}{-3}=\frac{-108}{-18}=6\\$

Explicit formula $a_{n} =a_{1} .r^{n-1}$

Now using the above formula, we can find $8^{th} term=-3*(6)^{8-1} =-3*6^{7}=-839808.$

2) Here

$\frac{a2}{a1}\neq \frac{a3}{a2}\\\frac{-2}{-4}\neq \frac{1}{-2}\\\frac{1}{2}\neq\frac{1}{-2}$ so this is not geometric sequence so no need to proceed further.

3) Common ratio $r=\frac{15}{-3}=\frac{-75}{15}=-5\\$

Explicit formula $a_{n} =a_{1} .(-5)^{n-1}$

Now using the above formula, we can find $8^{th} term=-3*(-5)^{8-1} =-3*(-5)^{7}=234375.$

4) Common ratio $r=\frac{-6}{1}=\frac{36}{-6}=-6\\$

Explicit formula $a_{n} =a_{1} .(-6)^{n-1}$

Now using the above formula, we can find $8^{th} term=1*(-6)^{8-1} =1*(-6)^{7}=-279936.$

5)Common ratio $r=\frac{-8}{4}=\frac{16}{-8}=-2\\$

Explicit formula $a_{n} =a_{1} .(-2)^{n-1}$

Now using the above formula, we can find $8^{th} term=4*(-2)^{8-1} =4*(-2)^{7}=-512.$

6)Common ratio $r=\frac{-8}{-2}=\frac{-32}{-8}=4\\$

Explicit formula $a_{n} =a_{1} .(4)^{n-1}$

Now using the above formula, we can find $8^{th} term=-2*(4)^{8-1} =-2*(4)^{7}=-32768.$

3 0

3 years ago

the temperature in Moscow was 2 degrees Celsius then it dropped to 8 degrees Celsius below zero by how many degrees did the temp

levacccp [35]

Answer:

Step-by-step explanation:

2-8 you need to minus the first number

3 0

3 years ago

Which expression represents the value of the series below? 3+ 7 + 11 + 15 + ... + 1,671

torisob [31]

Answer:

Step-by-step explanation:

This is an Arithmetic Series with common difference 4 and first term 3

so the nth term an = 3 + (n -1)4

= 4n - 1.

The sum of n terms

= n/2 (a1 + L)

= n/2(3 + 1671)

= 837n.

There are (1671-3) / 4 + 1 = 418 terms in the series,

so the total value of the series is 837*418

= 349,866.

4 0

2 years ago

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]

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=πr²h

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==πr²h
V1=(3.14)(6 inches)²(14 inches)
V1=1582.56 inches³

The volume of the cone is:

V2=(πr²h)/3

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:

V2=(πr²h)/3
V2=(3.14)(6 inches)²(6 inches)/3
V2=226.08 inches³

Therefore, the volume of the cake (Vt) is:

Vt=V1+V2
Vt=1582.56 inches³+226.08 inches³
 Vt=1808.6 inches³

8 0

3 years ago