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3 years ago

Which of the following equations could be used to solve for the tenth term of the following sequence? 15, 13, 11, 9, ...

Mathematics

2 answers:

Darya [45]3 years ago

6 0

Answer:

Equations that could be used to solve for the tenth term of the sequence:

15, 13, 11, 9, ... is

b) A(10) = 15 + 9(-2)

Step-by-step explanation:

We are given a sequence:

15,13,11,9,...

The above sequence is an arithmetic progression with

first term=A(1)=15 and common difference=d=-2

Now, the nth term of an arithmetic progression is determined by the formula

A(n)= A(1)+(n-1)d

⇒ A(10)= 15+9(-2)

Hence, the correct option is:

b) A(10) = 15 + 9(-2)

omeli [17]3 years ago

4 0

Answer

b) A(10) = 15 + 9(-2)

<u>Explanation</u>

15, 13, 11, 9, ... This is an arithmetic sequence.

The common difference = 13 - 15 = -2

or = 9 - 11 = -2

The first term of the sequence = 15.

The nth term of an arithmetic sequence is given by:

Tn = a + (n - 1)d

∴ T₁₀ = 15 + (10 - 1)(-2)

= 15 + (9 × -2) ⇒ This is the expression you need.

= 15 + -18

= -3

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What is the average rate of change of f over the interval -7 < or equal to x Give an exact number

Annette [7]

Answer:

$\frac{4}{3}$

Step-by-step explanation:

The average rate of change can be found by using the following formula

$\frac{f(x_{2}) - f(x_{1}) }{x_{2} - x_{1}}$

Since the interval goes from -7 to 2, we should find the y-values that correspond to x=-7 and x=2.

By inspection of the graph, we can clearly see that when x is -7, y is -7 as well and when x is 2, y is 5.

Now that we know this, we can simply plug these values into the formula!

$\frac{f(2) - f(-7) }{2 - (-7)} = \frac{5 - (-7)}{2 - (-7)} = \frac{5 +7}{2+7} = \frac{12}{9} = \frac{4}{3}$

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3 years ago

Law of cosines <br><br> HELP MES

Lorico [155]

Answer:

70.52 degrees

Step-by-step explanation:

To find the angles, we must first find the lengths of each side of the triangle. Adding up the respective radii, we can see that

XY = 5+4 = 9 CM

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Now we can apply the cosine rule

$C\:=\:\sqrt{A^2+B^2-2ABcosx}$

We need to rearrange the rule to solve for x, our missing angle

$x\:=\:cos^{-1}\left(\frac{a^2+b^2-c^2}{2ab}\right)$

solving for our unknown angle:

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Goryan [66]

Answer:

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Step-by-step explanation:

Given that:

Mario:

12 stamps per month

Since January

Karen :

18 stamps per month

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12 * 6 = 72 stamps

For Mario :

72 + 12x

For karen:

18x

Where x is the number of months after karen starts :

Equate both equations

72 + 12x = 18x

72 = 18x - 12x

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x = 72/6

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3 years ago

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labwork [276]

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Step-by-step explanation:

Here, the equation that shows the temperature of x degree Celsius in Fahrenheit is,

$F(x) = 32^{\circ} + 1.8\times x$

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x = 10° Celsius

The temperature in Fahrenheit is,

$F(10^{\circ}C) = 32^{\circ} + 1.8\times 10$

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