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2 years ago

Find the 73rd term of the arithmetic sequence 18, 30, 42, ...

Mathematics

1 answer:

Tju [1.3M]2 years ago

7 0

Answer:

882

Step-by-step explanation:

The n th term of an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 18 and d = 30 - 18 = 12, thus

$a_{73}$ = 18 + (72 × 12) = 18 + 864 = 882

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The fuel cost per hour for running a ship is approximately one half the cube of the speed (measured in knots) plus additional fi

andrezito [222]

Answer:

6 knots

Step-by-step explanation:

Let the speed be v knots

then time taken to cover 500 M = 500 / v hrs

fuel consumption /hr = 216 + 0.5v^3

let F be the fuel consumption for trip

= [500/v][216 + 0.5v^3]

= 500[216/v + 0.5v^2]

dF/dv = 500[ - 216/v^2 + v]

d^2F/d^2v = 500[432/v^3 + 1] , i.e. +ve

so setting dF/dv will give a minima

500[ -216/v^2 + v] = 0

or v = 216/v^2

or v^3 = 216

solving, we get v = [216]^(1/3) = 6 knots

7 0

2 years ago

During a field trip, 60 students are put into equal-sized groups. Describe two ways to interpret 60÷5 60 ÷ 5 in this context. Fi

Afina-wow [57]

The second question:

Consider the division expression $7\frac{1}{2} / 2$ . Select all multiplication equations that correspond to this division expression.

$2 * ? = 7\frac{1}{2}$ $7\frac{1}{2} * ?= 2$ $? * 2 = 7\frac{1}{2}$

$2* 7\frac{1}{2} = ?$ $? * 7\frac{1}{2} = 2$

Answer:

1. See Explanation

2. $2 * ? = 7\frac{1}{2}$ and $? * 2 = 7\frac{1}{2}$

Step-by-step explanation:

Solving (a):

Given

$Students = 60$

$Group = Equal\ Sized$

Required

Interpret $\frac{60}{5}$ in 2 ways

Interpretation 1: Number of groups if there are 5 students in each

Interpretation 2: Number of students in each group if there are 5 groups

Solving the quotient

$Quotient = \frac{60}{5}$

$Quotient = 12$

For Interpretation 1:

The quotient means: 12 groups

For Interpretation 2:

The quotient means: 12 students

Solving (b):

Given

$7\frac{1}{2} / 2$

Required

Select all equivalent multiplication equations

Let ? be the quotient of t $7\frac{1}{2} / 2$

So, we have:

$7\frac{1}{2}/2 = ?$

Multiply through by 2

$2 * 7\frac{1}{2}/2 = ? * 2$

$7\frac{1}{2} = ? * 2$

Rewrite as:

$? * 2 = 7\frac{1}{2}$ --- This is 1 equivalent expression

Apply commutative law of addition:

$2 * ? = 7\frac{1}{2}$ --- This is another equivalent expression

8 0

2 years ago

A group surveyed a mix of people below and above 40 years old about whether or not they visit a dentist once a year. This table

il63 [147K]

Answer: is D

Visit Dentist Yearly Don’t Visit Dentist Yearly

Below 40 0.27 0.73

Above 40 0.57 0.43

Work: 8+22=30 17+13=30 turn into a fraction then simplify to get answer;

22/30 simp= 73.0 (0.73)

13/30 simp= 43.0 (0.43)

8/30 simp= 26.667 (0.27)

17/30 simp= 56.667 (0.57)

3 0

2 years ago

Read 2 more answers

Marks brothers is paying a dividend of 56.25 on each share how much will PRH receive in dividends

rewona [7]

We are given that each share will receive a dividend equal to 56.25. In this problem, we should have been given the total number of shares that PRH has so that we can know the dividend. Anyway, the formula to calculate the dividend is:

Dividend = 56.25 * (Number of Shares)

5 0

2 years ago

Suppose you used a computer to find out if 1147 was a prime number. Which numbers would you tell the computer to divide by?

monitta

Answer:

all prime numbers less than its square root.

Step-by-step explanation:

6 0

2 years ago