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Mkey [24]
2 years ago
13

7) Write an equation for the tile pattern and use it to find out how many tiles will there be in figure 32?

Mathematics
1 answer:
Dafna11 [192]2 years ago
7 0

9514 1404 393

Answer:

  98

Step-by-step explanation:

The numbers of tiles are 5, 8, 11. This is an arithmetic sequence with a first term of 5 and a common difference of 3. The n-th term is ...

  an = a1 +d(n -1)  . . . . . for first term a1 and common difference d

This sequence has n-th term ...

  an = 5 +3(n -1)

Then the 32nd term is ...

  a32 = 5 + 3(32 -1) = 5 +93 = 98

Figure 32 will have 98 tiles in it.

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Use the boundedness theorem to determine whether the polynomial function satisfies the given condition. The polynomial f(x) = x4
7nadin3 [17]

Answer:

So f(x) has no real greater than 8. Step - by - step explanation is shown in the attachment.

Step-by-step explanation:

Let f ( x) be a polynomial with real coefficients and with a positive lending coefficient.

If f(x) is divided by x-c and

a) if c>0 and all number in the bottom row of the synthetic division are non negative , then f(x) has no zero greater than c.

b ) if c<0 and the number in the bottom row of the synthetic division alternate in sign  then f (x) has no zero less than c

As shown in the figure

Since the number in the bottom row of the synthetic division alternate in sign

So f(x) has no real greater than 8

6 0
3 years ago
john and ted have a reputation of being late to events. If john is late 20% of the time and ted is late 40% of the time what is
oee [108]

Answer:

The probability that they will both be on time is 12/25.

Step-by-step explanation:

John is late 20% of the time.

So, he is prompt 80% of the time.

Ted is late 40% of the time.

So, he is prompt 60% of the time.

Since, both the events are independent,

p(John be on time ∩ Ted be on time) = p(John be on time) × p(Ted be on time)

= \frac{80}{100} × \frac{60}{100}

= 0.80 × 0.60

= 0.48 or 48%

=\frac{12}{25}

Hence, the probability that they will both be on time is 12/25.

3 0
3 years ago
8×(30+2)=(8×_)+(8×2)
irinina [24]
Using the distributive property, a(b+ c) = ab + ac. In this case, b is 30, so the blank is 30.
6 0
3 years ago
Read 2 more answers
Are two isosceles triangles always similar? Explain. (1 point)
lara [203]

Answer:

No, because the ratios of the sides that form the vertex angles are the​ same, but the vertex angles may not be congruent.

Step-by-step explanation:

I just took the quick check

8 0
2 years ago
Noelia has 144 role-playing cards. She and
scZoUnD [109]

Noelia has 216 cards after buying part of the set with her friends.

<h3>What is addition?</h3>

Combining items and counting them as a single, large group is done through addition.

Given that, Noelia has 144 role-playing cards.

Now, she bought 72 cards more, therefore, the number of cards Noelia has is:

144 + 72

= 216

Hence, Noelia has 216 cards after buying part of the set with her friends.

Learn more about the addition:

brainly.com/question/29560851

#SPJ1

7 0
1 year ago
Read 2 more answers
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