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2 years ago

If f(1) = 6 and f(n) = f(n − 1) +3, then f(7) = (1) 10 (2) 24 (3) 15 (4) 18

Mathematics

1 answer:

Juliette [100K]2 years ago

3 0

Answer:

Step-by-step explanation:

f(n) = f(n − 1) + 3

if n = 7 => f(7) = f(7-1) + 3 = f(6) + 3

if n = 6 => f(6) = f(6-1) + 3 = f(5) + 3

if n = 5 => f(5) = f(5-1) + 3 = f(4) + 3

if n = 4 => f(4) = f(4-1) + 3 = f(3) + 3

if n = 3 => f(3) = f(3-1) + 3 = f(2) + 3

if n = 2 => f(2) = f(2-1) + 3 = f(1) + 3

if f(1) = 6 then f(2) = 9

f(3) = 12

f(4) = 15

f(5) = 18

f(6) = 21

f(7) = 24

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If the area of the rectangle avove is 180 spuare inches, then x =

oksano4ka [1.4K]

Given the dimension of the length and area of the rectangle, the dimension of the breadth x is 9in.

Hence, option A is the correct answer.

This question is incomplete, the missing diagram is uploaded along this answer below.

<h3>What is the value of x?</h3>

Area of a rectangle is expressed as; A = l × b

Given that;

Length of the rectangle l = 20in
Breadth b = x
Area A = 180in²

A = l × b

180in² = 20in × x

x = 180in² / 20in

x = 9in

Given the dimension of the length and area of the rectangle, the dimension of the breadth x is 9in.

Hence, option A is the correct answer.

Learn more about area of rectangle here: brainly.com/question/12019874

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2 years ago

the vertex form of the equation of a parabola is y=(x-5)2+16. what is the standard form of the equation

Reika [66]

Answer:

y = x² - 10x + 41

Step-by-step explanation:

The standard form of a quadratic is ax² + bx + c : a ≠ 0

Given

y = (x - 5)² + 16 ← expand (x - 5)²

= x² - 10x + 25 + 16

= x² - 10x + 41 ← in standard form

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3 years ago

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A group of 20 students in four adults are going on a field trip to the museum What is the ratio of students to adults complete t

stepladder [879]

Answer:

5:1

Step-by-step explanation:

Originally the ratio is 20:4

but then it is simplified to 10:2

then 5:1

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2 years ago

In a manufacturing process a random sample of 9 bolts manufactured has a mean length of 3 inches with a standard deviation of .3

Serggg [28]

Answer:

The correct option is (C) (2.769, 3.231).

Step-by-step explanation:

The confidence interval for mean when the standard deviation is not known is:

$CI=\bar x\pm t_{\alpha/2, (n-1)}\frac{s}{\sqrt{n}}$

Given:

$\bar x = 3\\s=0.3\\n=9\\\alpha =1-0.95=0.05$

Compute the critical value as follows:

$t_{\alpha/2, (n-1)}=t_{0.05/2, (9-1)}=t_{0.025, 8}=2.31$

**Use a <em>t</em>-table.

The 95% confidence interval for true mean length of the bolt is:

$CI=\bar x\pm t_{\alpha/2, (n-1)}\frac{s}{\sqrt{n}}\\=3\pm 2.31\times \frac{0.30}{\sqrt{9}}\\ =3\pm 0.231\\=(2.769, 3.231)$

Thus, the 95% confidence interval for true mean length of the bolt is (2.769, 3.231).

The correct option is (C).

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3 years ago

Examine this figure. Which two pieces of information, if true, would help to prove that ΔLMP ≅ ΔNMP by HL? Select two options.

lidiya [134]

Answer:

2. Line MK is the perpendicular bisector of LN.

3. ML ≅ MP

4. ML ≅ MN

Step-by-step explanation:

To prove that ΔLMP ≅ ΔNMP by HL.

The second option or statement states that :

Line MK being the perpendicular bisector of LN then it will explain that angles PML and PMN are right angles. Thus, they are congruent.

Statement 3 and 4 says that

ML, MP, and MN are congruent. Since ML is congruent to MP and MN both. Thus conclude that triangle ΔLMP ≅ ΔNMP by HL

Thus, the correct answer - option 2, 3, and 4.

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3 years ago

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