One car takes half a minute to complete a circuit.

Mathematics

1 answer:

Liono4ka [1.6K]3 years ago

5 0

Answer:

7 laps

Step-by-step explanation:

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Help with Algebra with Trinominals and Vertex Form. WILL MARK BRAINLIEST

slega [8]

Answer:

(b/2)^2

Step-by-step explanation:

7 0

3 years ago

If the second term of a geometric sequence of real numbers is -2 and the fifth term is 16 then what is the fourteenth term?

Agata [3.3K]

<h3>Given</h3>

A geometric sequence such that ...

$a_2=-2\quad\text{and}\quad a_5=16$

$a_{14}$

<h3>Solution</h3>

We can use the ratio of the given terms to find the common ratio of the sequence, then use that to find the desired term from one of the given terms. We don't actually need the common ratio (-2). All we need is its cube (-8).

$a_2=a_1r^{(2-1)}=a_1r^1\\a_5=a_1r^{(5-1)}=a_1r^4\\a_{14}=a_1r^{(14-1)}=a_1r^13=a_5r^9\\\\\dfrac{a_5}{a_2}=\dfrac{a_1r^4}{a_1r^1}=r^3=\dfrac{16}{-2}=-8\\\\r^9=\left(r^3\right)^3=(-8)^3=-512\\a_{14}=a_5(-512)\\\\a_{14}=-8192$

7 0

3 years ago

Find the 12th term of following geometric sequence 5, 20,80, 320,

vesna_86 [32]

5, 20, 80, 320, 1280, 5120, 20480, 81920, 327680, 1310720, 5242880, 20971520

The 12th term would be 20,971,520
Everything is being multiplied by 4 each time

5 0

3 years ago

Abby used the quadratic formula to find the zeros of the

MArishka [77]

Step 2: She did not simplify under the square root correctly

under the square root:

(-6)^2 =36

and -4(5)(-8) =160

therefore under the square root it needs to be square root of 36+160 which is square root of 196.

That answer is 14 when square rooted