All categories

3 years ago

Can someone please help me

Mathematics

1 answer:

snow_lady [41]3 years ago

5 0

Answer: The 31st term is 367

Step-by-step explanation: An arithmetic sequence is derived such that every term is calculated by adding a common difference to the previous term.

The first term has been given as 12. And the value of the nth term shall be defined by the formula

nth term = a(n - 1) + 7. So in order to calculate the unknown term, simply substitute the term for n.

To calculate the 31st term, we apply the formula as follows

nth = a(n - 1) + 7

31st = 12(31 - 1) + 7

31st = 12(30) + 7

31st = 360 + 7

31st = 367

Therefore, the 31st term is 367

You might be interested in

g True or False: We will not have omitted variable bias if we leave out a RHS variable that affects the LHS variable, provided t

Rainbow [258]

Based on the information given, it should be noted that we will have an omitted variable bias, therefore, it's true.

<h3>What is an omitted variable?</h3>

An omitted variable simply occurs when a statistical model that occurs when one or more relevant variable is left out.

It should be noted that we will have omitted variable bias if we leave out a RHS variable that affects the LHS variable, even in a situation where there is no correlation between the omitted RHS variable and the included RHS variables.

For omitted variable bias to occur, it should be noted that the omitted variable will be correlated with the included regressor.

Learn more about omitted variable on:

brainly.com/question/10912873

3 0

3 years ago

I need help with this problem. Given: BC = 10 inches AC = √50 inches m∠CBD = 60° m∠CAD = 90° Calculate the exact area of the sha

Nikitich [7]

Answer:

Area of the shaded region = 23.33 in²

Step-by-step explanation:

Area of a sector = $\frac{\theta}{360}(\pi r^{2})$

Where θ = Central angle subtended by an arc

r = radius of the circle

Area of the sector BCD = $\frac{60}{360}(\pi) (10^{2})$

= 52.36 in²

Area of equilateral triangle BCD = $\frac{\sqrt{3} }{4}(\text{Side})^2$

= $\frac{\sqrt{3} }{4}(10)^2$

= $25\sqrt{3}$ in²

= 43.30 in²

Area of the shaded portion in ΔBCD = 52.36 - 43.3

= 9.06 in²

Area of sector CAD = $\frac{90}{360}(\pi)(\sqrt{50})^2$

= 39.27 in²

Area of right triangle CAD = $\frac{1}{2}(\text{Base})(\text{Height})$

= $\frac{1}{2}(\text{AC})(\text{AD})$

= $\frac{1}{2}(\sqrt{50})(\sqrt{50})$

= 25 in²

Area of the shaded part in the ΔACD = 39.27 - 25

= 14.27 in²

Area of the shaded part of the figure = 9.06 + 14.27

= 23.33 in²

8 0

3 years ago

What is the range of the function f(x) = 3x − 12 for the domain {-2, 2}?

Scilla [17]

your answer is
x2
x6
x3
x9

7 0

3 years ago

Can you please tell me the answers to all of these

Svetllana [295]

be smart be funny be kind smell good watch tv do homework

4 0

3 years ago

Which of the following expressions is the conjugate of a complex number with 2 as the real part and 3i as the imaginary part?

lbvjy [14]

The complex number is represented as 2 + 3i. The conjugate of the complex number is the number with equal real part and imaginary part equal in magnitude but opposite in sign. Therefore, the correct answer is option B. The conjugate of the complex number is 2 − 3i.

4 0

3 years ago

Read 2 more answers