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olchik [2.2K]
4 years ago
15

Find the common difference of the arithmetic sequence 5, 14, 23, ...

Mathematics
2 answers:
vodka [1.7K]4 years ago
7 0
It’s plus 9 so the next number should be 32
stepladder [879]4 years ago
6 0

Answer: 9

Step-by-step explanation: The common difference is the difference between each of the terms in an arithmetic sequence.

Let's work backwards.

First, we take the last term we are given and

subtract the second to last term.

So here, we subtract 23 - 14 to get 9.

Now, we take 14 - 5 to get 9.

Notice that 9 is our answer in both problems above.

That means it's our common difference.

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Go to a clothing store with
olga2289 [7]

Answer:

original price $75

discount $18.75

sale price $56.25

Step-by-step explanation:

I found a pair of dress pants for $75.

Since the discount is 25%, then the discount is

25% of $75 = 0.25 × $75 = $18.75

The sale price is the original price, $75, minus the discount, $18.75.

$75 - $18.75 = $56.25

5 0
2 years ago
Ron is designing a new slide for the amusement park in town the slide makes an angle of 39 degrees with the ground.The top of th
Fynjy0 [20]

Answer:

The length of the slide he needs to make = AC = L = 14.3 ft

Step-by-step explanation:

From the Δ ABC

AC = Length of the slide = L

AB = 9 ft

\theta = 39 °

From  Δ ABC

\sin \theta = \frac{AB}{AC}

Put all the value in the above formula

\sin 39 = \frac{9}{L}

L = \frac{9}{0.629}

L = AC = 14.3 ft

Therefore the length of the slide he needs to make = AC = L = 14.3 ft

3 0
4 years ago
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar. Chris is playing a
alisha [4.7K]

Let's call the aces h, d, c, s for hearts, diamonds, clubs and spades. So, h, d are red and [ted] c, s[/tex] are black.

Since the first card is replaced, the two picks are identical. This means that the sample space is given by all the possible couple

(x,y)\, x, y \in \{h,d,c,s\}

There are 16 such couples (we have four choices for the first card, and the same four choices for the second card). Now let's compute the odds in our favour to deduce the probability of winning:

If we want a player to draw two card of the same colour, the following couples are good:

(h,h),\ (h,d),\ (d,h),\ (d,d),\ (c,c),\ (c,s),\ (s,c),\ (s,s)

so 8 possible couples over 16. This means that the probability that a player draws two cards of the same color is 8/16 = 1/2.

Similarly, the probability of drawing a red ace first and then a black ace is represented by the following couples:

(h,c),\ (h,s),\ (d,c),\ (d,s)

which are 4 over the same 16 as above, thus leading to a probability of 4/16 = 1/4.

4 0
4 years ago
Read 2 more answers
The 6% state income tax on a 42'000 salery​
Romashka [77]

Answer:

well, simply, it would be $2520.

in reality, an income tax does not work that simply. income taxes are figured using brackets, where (just making up numbers) the first $15000 might be taxed at 2%, earnings between $15,001 to $30,000 are taxed at 4%, and so on.

Thus, without knowing the tax tables to know the different rates and brackets, it's impossible to give an answer.

But in straight math terms, 6% of $42,000 is $2520

42000×.06= 2520

7 0
3 years ago
Find m please help me i’ve been stuck on this problem for 30 minutes!!!
victus00 [196]

6×+8=14 5×+2=7 14×7=98 ∆m=4.66

8 0
3 years ago
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