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3 years ago

Check my answers please?

1 answer:

5 0

1. Correct answer is a (since when you are not given the n values, it is implied that the first value is 1).
3. Correct answer is a (a(n)=-3+4(1-1)=-3).
7. The pattern is to reduce the previous value by 4, thus the 12th term of the sequence is -24 (a(n)=20 - 4(n-1)=20 - 4(12-1)=-24).
8. Missing term is 26 (32+20=52; 52/2=26).
10. Pattern is 625/1=625; 625/5=125; 125/5=25; 25/5=5, thus. the 10th term is 1/3125 (answer a).

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Find the distance between the points (0,-8) and (3,2). Round your answer to the nearest hundredth.

Reil [10]

Answer:

10.44

Step-by-step explanation:

First plot each of the points on to a graph at their respective positions.

Following that create a 90° triangle out of the points. This will create a 3 by 10 triangle. (3 to 0 is 3) (-8 to 2 is a difference of 10)

You can then use the pythagorean theorem $a^{2} +b^{2} = c^{2}$ .

Insert the lengths of each of the sides that we got earlier which would be 3 and 10 into the equation. $3^{2} + 10^{2} = c^{2}$

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4 years ago

Gwen volunteered to work at the ticket booth for her school's Halloween carnival. The chart below gives the number of hours Gwen

n200080 [17]

A linear relation is a relationship between two variables that when the corresponding pair of values of the variables are plotted, a straight line is obtained

The equation for the relationship between hours Gwen worked and number of tickets is t = 15·h

The reason the above equation is correct is as follows:

The given parameters are;

The table of values;

Hours(h): 1, 2, 3, 4

Tickets (t): 15, 30, 45, 60

Required: To write an equation that gives the relation between the number of hours Gwen worked and the number of tickets sold

Solution:

From the given table, we have;

The common difference between successive h-values is 1

The common difference between successive t-values is 30 - 15 = 45 - 30 = 60 - 45 = 15 = Constant

Given that the common difference of the h, and t-values are constant, the relationship is a linear relationship of the form, t = m·h + c

Where;

m = The rate of change of t with h, as follows;

m = (30 - 15)/(2 - 1) = 15

∴ t - 15 = 15 × (h - 1)

t - 15 = 15·h - 15

t = 15·h - 15 + 15 = 15·h

t = 15·h

The equation for the relation between the number of hours Gwen worked and the number of tickets she sold is t = 15·h

Learn more about mathematical relationships here:

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2 years ago

Solve the equation. q+5/9=1/6

Irina-Kira [14]

Answer:

−7/18

Step-by-step explanation:

Subtract 5/9 from both sides of the equation

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3 years ago

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Step-by-step explanation:

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