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4 years ago

The question is in the photo.

Mathematics

2 answers:

Irina-Kira [14]4 years ago

6 0

Answer:

Step-by-step explanation:

The formula for determining the nth term of an arithmetic sequence is expressed as

f(n) = a + d(n - 1)

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = 13

d = 24 - 13 = 11

14) Therefore, the explicit formula for the arithmetic sequence is

f(n) = 13 + 11(n - 1)

15) when n = 40,

f(n) = 13 + 11(40 - 1)

f(n) = 13 + 429

f(n) = 442

16) if f(n) = 299,

299 = 13 + 11(n - 1)

11(n - 1) = 299 - 13

11(n - 1) = 286

Dividing through by 11, it becomes

n - 1 = 286/11 = 26

n = 26 + 1

n = 27

zlopas [31]4 years ago

5 0

14. An = 11n + 2

15. 484 (if I didn’t miss count)

16. N= 28

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Sloan [31]

The degenerate conic that is formed when a double cone is sliced at the ap-ex by a plane parallel to the base of the cone is a <u>Point</u>.

<h3>What degenerate conic is formed?</h3>

When a plane that is parallel to the base of a double cone is used to slice the ap-ex, the conic section formed is a circle.

Circles lead to a Point degenerate conic being formed because a single point will be formed on the double cone that separates the shape.

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2 years ago

Yall please help me im struggling and i need to pass!!

marysya [2.9K]

Answer:m is rational and n is irrational

Step-by-step explanation:

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3 years ago

Find the critical numbers of the function. (Enter your answers as a comma-separated list. Use n to denote any arbitrary integer

lyudmila [28]

$f(\theta)=10\cos\theta+5\sin^2\theta$

then the derivative is

$f'(\theta)=-10\sin\theta+10\sin\theta\cos\theta$

Critical points occur where $f'(\theta)=0$ . This happens for

$-10\sin\theta+10\sin\theta\cos\theta=0$

$-10\sin\theta(1-\cos\theta)=0$

$\implies-10\sin\theta=0\text{ or }1-\cos\theta=0$

In the first case, we find

$-10\sin\theta=0\implies\sin\theta=0\implies\theta=n\pi$

In the second,

$1-\cos\theta=0\implies\cos\theta=1\implies\theta=2n\pi$

So all the critical points occur at multiples of $\pi$ , or $n\pi$ . (This includes all the even multiples of $\pi$ .)

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4 years ago

Write the sentence as an equation.41 fewer than the quantity t times 307 is equal to n

Serhud [2]

The given statement is:

41 fewer than the quantity t times 307 is equal to n.

The equation is given by:

$307t-41=n$

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2 years ago

It is based on ratios

12345 [234]

Answer:

Gianna makes $18 per hour.

Step-by-step explanation:

Given Gianna makes 90$ for 5 hours. That means she should make $\frac{90}{5}$ $ = 18$ every hour.

Therefore we have:

HOURS DOLLARS

1 18

2 36

3 54

4 72

5 90

6 108

7 126

For the tabular column mark Hours on the x - axis and Dollars on the Y - axis. It can be plotted from the above table easily.

If Gianna works for 8 hours she would have made 8 X 18 = 144$.

So, she will earn 144$ in 8 hours.

To make 60$ she would have to work $\frac{60}{18}$ hours = 3.33 hours.

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4 years ago