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3 years ago

In the diagram, which two angles are alternate interior angles with angle 14?

Mathematics

1 answer:

Yakvenalex [24]3 years ago

6 0

Answer: ∠4 and ∠12

Step-by-step explanation:

∠12 is the alternate interior angle of 14 along with ∠12

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Drag the labels to the correct locations on the expanded binomial.

Tom [10]

The expanded binomial is 2x^3+3y^2=7

Step-by-step explanation:

The binomial is not shown in correct expansion. It is written in the wrong format. There is a general format for the binomial expansion.
The first term should have the highest power. So 2x power 3 will come first. The second term will have power lesser than the first term.
So in the second term, 3y^2 will be placed. After that, the equal to = operator will be placed. Finally, the value of the expression will be placed.
So the expanded correct form is 2x^3+3y^2=7

6 0

3 years ago

In 2012, the population of a city was 6.81 million. the exponential growth rate was 1.61% per year. a) find the exponential g

tamaranim1 [39]

For this case we have a function of the form:
y = A * (b) ^ t
Where,
A: initial amount
b: growth rate
t: time
For each of the questions we must make use of this equation in the following way:

Part A:
y = 6.81 * (1.0161) ^ t

Part B:
y = 6.81 * (1.0161) ^ 6
y = 7.49 million

Part C:
10 = 6.81 * (1.0161) ^ t
log1.0161 ((1.0161) ^ t) = log1.0161 ((10 / 6.81))
t = log1.0161 ((10 / 6.81))
t = 24.05 years

Part D:
2 * 6.81 = 6.81 * (1.0161) ^ t
log1.0161 ((1.0161) ^ t) = log1.0161 ((2 * 6.81 / 6.81))
t = log1.0161 (2)
t = 43.40 years

4 0

3 years ago

A jar with screws weighs 2.9 kg. A similar jar with nails weighs 700 g. The screws weigh five times as much as the nails. How mu

alex41 [277]

The jar of screws weight 14.5kg

5 0

3 years ago

What is the expression and value of “six less than nine times the sum of a number and eight” when n = 5

Vikentia [17]

Answer:

The expression is 9(n + 8) - 6, the value is 111 ⇒ answer A

Step-by-step explanation:

* Lets explain how to solve the problem

- We have a statement:

" six less than nine times the sum of a number and eight"

- When we solve we will start by the last part

- The last part is the sum of a number and 8

- Assume that the number is n

∵ The sum is the answer of adding

∴ The sum of a number and eight is ⇒ n + 8

- Nine times the sum

∵ The sum is n + 8

∵ Nine times means multiply the sum by 9

∴ Nine times the sum is ⇒ 9(n + 8)

- Six less than nine times the sum

∵ Nine times the sum is 9(n + 8)

∵ Six less than means subtract 6 from nine times the sum

∴ Six less than nine times the sum is ⇒ 9(n + 9) - 6

* The expression is 9(n + 8) - 6

- Lets evaluate the expression when n = 5

∵ 9(n + 8) - 6

∵ n = 5

∴ The value = 9(5 + 8) - 6

∴ The value = 9(13) - 6

∴ The value = 117 - 6

∴ The value = 111

* When n = 5 the value of the expression is 111

8 0

3 years ago

Read 2 more answers

Write an expression that can be usedto find the nth termo of each sequence 9, 17, 25, 33

ra1l [238]

Answer:

The expression used to find the nth term of each sequence 9, 17, 25, 33 will be:

$a_n=8n+1$

Step-by-step explanation:

Given the sequence

9, 17, 25, 33

a₁ = 9

Determining the common difference

d = 17-9 = 8

d = 25-17 = 8

d = 33-25 = 8

As the common difference between the adjacent terms is same and equal to

d = 8

Therefore, the given sequence is an Arithmetic sequence.

An arithmetic sequence has a constant difference 'd' and is defined by

$a_n=a_1+\left(n-1\right)d$

substituting a₁ = 9, d = 8 in the equation

$\:a_n=9+8n-8$

$a_n=8n+1$

Therefore, the expression used to find the nth term of each sequence 9, 17, 25, 33 will be:

$a_n=8n+1$

6 0

3 years ago