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3 years ago

Which of the following is the general term for the sequence

Mathematics

1 answer:

Harlamova29_29 [7]3 years ago

7 0

This is an example of a geometric sequence. To find for the nth term, we use the formula:

an = a1 r^(n – 1) ---> 1

Where:

a1= 1st term of the sequence = -a

r = common ratio

To find for the common ratio r, we divide the 2nd term with the 1st term (we can also divide the 3rd term with the 2nd term; we can use any 2 terms as long as they are in succession.)

r = a^2 / -a

r = -a

Substituting a1 and r in equation 1:

an = -a (-a)^(n-1)

Therefore the answer: B) -a(-a)n-1

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1.What is the ratio of v to v max expressed as a percentage when [s] = 30 km

Helga [31]

Answer:

(a)96.77%

(b)3.23%

Step-by-step explanation:

Starting with the Michaelis-Menten equation which is used to model biochemical reactions:

Dividing both sides by $V_{\max }}$

$\dfrac{v}{V_{max}}=\dfrac{[S]}{K_M + [S]}$

Where: $V_{\max }} =$ maximum rate achieved by the system

$K_{\mathrm {M} }}$ =The Michaelis constant

${\displaystyle {\ce {[S]}}}=$ Substrate concentration

(a) When $[S]=30K_M$

$\dfrac{v}{V_{max}}=\dfrac{[S]}{K_M + [S]}\\\dfrac{v}{V_{max}}=\dfrac{30K_M}{K_M + 30K_M}\\\dfrac{v}{V_{max}}=\dfrac{30}{1 + 30}\\\dfrac{v}{V_{max}}=\dfrac{30}{31}\\$Expressed as a percentage\\\dfrac{v}{V_{max}}=\dfrac{30}{31}X100=96.77\%$

(b)When $K_M=30[S]$

$\dfrac{v}{V_{max}}=\dfrac{[S]}{K_M + [S]}\\\dfrac{v}{V_{max}}=\dfrac{[S]}{30[S] + [S]}\\\\=\dfrac{1[S]}{30[S] + 1[S]}\\=\dfrac{1}{30 + 1}\\\dfrac{v}{V_{max}}=\dfrac{1}{31}\\$Expressed as a percentage\\\dfrac{v}{V_{max}}=\dfrac{1}{31}X100=3.23\%$

8 0

3 years ago

Simplify 4x+2 - x^2 +x-12 / x-3 a) 3x-2 b)3x+4 c)5x-4 d)5x+4

Ostrovityanka [42]

Hello

The asnwer is C.

Have a nice day

3 0

3 years ago

Read 2 more answers

Help plz i rely need help with this question

prohojiy [21]

B. it will get smaller.

4 0

3 years ago

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At Bridgeview School,7/10 of the total students are driven to school by their parents. Another 1/6 of the total students at Brid

jarptica [38.1K]

Answer: 2/15

Step-by-step explanation:

We are given the information that at Bridgeview School, 7/10 of the total students are driven to school by their parents and that 1/6 of the total students at Bridgeview School ride the bus.

The fraction of the students that walk to school would be:

= 1 - (7/10 + 1/6)

= 1 - (21/30 + 5/30)

= 1 - 26/30

= 4/30

= 2/15

5 0

3 years ago

Find the measure of angle N. A. 150° B. 8° C . 90° D. 294°

oee [108]

Answer:

$\angle N=150\degree$

Step-by-step explanation:

The sum of interior angles of a 5-sided polygon is 540 degrees.

We sum all the angles to get:

<M+<L+<N+<O+<P=540

90+90+(17x+4)+(18x+6)+(10x-10)=540

45x+180=540

45x=540-180

45x=360

x=8

N=18*8+6

$\angle N=150\degree$

8 0

3 years ago