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3 years ago

Need help please will give brainliest answer!

Mathematics

1 answer:

Nadusha1986 [10]3 years ago

8 0

Answer:

lower limit is n=1

upper limit is n=18

n=1 to 18∑(7n-4)

Number of beads = 1125

Step-by-step explanation:

Given series is 3+10+17+24.....

we find the formula to find nth term(explicit formula)

first term (a1) = 3

common difference (d)= 7

$a_n = a_1+(n-1)d$

$a_n = 3+(n-1)7$

$a_n = 3+7n-7$

$a_n =7n-4$

total of 18 rows

So we find sum for n =1 to 18

lower limit is n=1

upper limit is n=18

n=1 to 18∑(7n-4)

(b) to find total number of beads we apply sum formula

$s_n = \frac{n}{2}(2a+(n-1)d)$

n=18, a=3, d= 7

$s = \frac{18}{2}(2(3)+(18-1)7)$

S= 9(125)=1125

Number of beads = 1125

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A local anime fan club surveyed its members regarding their viewing habits last weekend, and the following information was obtai

DiKsa [7]

Answer:

a) 83.099% of the club members had watched Naruto or Death Note.

b) 15.493% of the club members had watched only Naruto

c) 33.803% of the club members had watched only Death Note.

Step-by-step explanation:

First we find the number of students which each habit, treating the habits as Venn sets.

I am going to say that:

Set A: Watched an episode of Naruto.

Set B: Watched an episode of Death Note.

24 had watched both an episode of Naruto and an episode of Death Note:

This means that $(A \cap B) = 24$

48 had watched an episode of Death Note

This means that $B = 48$ .

We have that:

$B = (B-A) + (A \cap B)$

In which B - A are those who watched only Death Note. So

$48 = (B-A) + 24$

$(B-A) = 24$

35 members had watched an episode of Naruto

This means that $A = 35$ .

$A = (A-B) + (A \cap B)$

$35 = (A-B) + 24$

$(A-B) = 11$

At least one:

This is

$(A \cup B) = A + B - (A \cap B)$

$(A \cup B) = 35 + 48 - 24$

$(A \cup B) = 59$

Total number of students:

59 at least one, 12 none, so 71 total.

(a) What percent of the club members had watched Naruto or Death Note?

At least one, so 59 out of 71

59*100/71 = 83.099

83.099% of the club members had watched Naruto or Death Note.

(b) What percent of the club members had watched only Naruto?

11 out of 71. So

11*100/71 = 15.493

15.493% of the club members had watched only Naruto.

(c) What percent of the club members had watched only Death Note?

24 out of 71. So

24*100/71 = 33.803

33.803% of the club members had watched only Death Note.

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Answer:

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Answer:

First option: $3x^2-5x=-8$

Second option: $2x^2=6x-5$

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Step-by-step explanation:

Rewrite each equation in the form $ax^2+bx+c=0$ and then use the Discriminant formula for each equation. This is:

$D=b^2-4ac$

1) For $3x^2-5x=-8$ :

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$D=(-5)^2-4(3)(8)=-71$

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$2x^2-6x+5=0$

Then:

$D=(-6)^2-4(2)(5)=-4$

Since $D$ this equation has no real solutions, but has two complex solutions.

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$9x^2-12x+4=0$

Then:

$D=(-12)^2-4(9)(4)=0$

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