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Hatshy [7]
2 years ago
9

Arithmetic sequence, help with #18 plz

Mathematics
1 answer:
GREYUIT [131]2 years ago
6 0

Answer:

15th term is 29/4

Use Arithmetic equation

a1 = 1/4

d= common difference = 2/4

a15 = a1 + (n-1) d

a15 = 1/4 + (15 - 1) 2/4

a15 = 1/4 + 14 (2/4)

a15 = 1/4 + 7

a15 = 29/4 or 7 1/4

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Find the value of the expression 3m^2+2p^2-15 when m =3 and p = 10
mylen [45]

3m {}^{2}  +  {2p}^{2}  - 15
m = 3
p = 10

3 \times 3 {}^{2}  + 2 \times  {10}^{2}  - 15 =
3 \times 9 + 2 \times 100 - 15 =
27 + 200 - 15 =
212

Hence, the answer is 212.



5 0
4 years ago
Each letter of the word "thunderstorm" has been written on a separate slip of paper and put into a box. Find the probability of
xxTIMURxx [149]

SOLUTION

From the question, we want to find the probability of selecting a slip of paper with the letter t on it, then selecting the letter r, with replacement.

This means the probability of selecting t and r.

That is

P(t)\times P(r)

There are 12 letters (total outcomes). And there are 2r and 2t.

So probability becomes

\begin{gathered} \frac{possible\text{ outcome}}{\text{total outcome }} \\ P(t)=\frac{2}{12} \\ P(r)=\frac{2}{12} \\ P(t)\times P(r)=\frac{2}{12}\times\frac{2}{12} \\ =\frac{1}{6}\times\frac{1}{6} \\ =\frac{1}{36} \end{gathered}

Hence the answer is

\frac{1}{36}

7 0
1 year ago
Please helo i will make brainless for correct answers!​
elena-s [515]
False is the correct answer
7 0
4 years ago
Read 2 more answers
All the answers please
Nata [24]

Answer:

6. 4

7. 40

8. 10

9. 4

10. 21

Step-by-step explanation:

6 0
4 years ago
Liliana is making a vase with a circular base. She wants the area of the base to be between 135 cm2 and 155 cm2. Which circle co
Umnica [9.8K]

Answer:

(b) Circle C is shown. Line segment A C is a radius with length 7 centimeters.

Step-by-step explanation:

Given

Minimum\ Area = 135cm^2

Maximum\ Area = 155cm^2

\pi = 3.14

Required

Which circle could she use

To do this, we simply calculate the areas of all the given circles

The area of a circle is:

Area = \pi r^2

Where

r = radius

a.\ r = 6cm

The area is calculated as thus:

Area = \pi r^2

Area = 3.14 * (6cm)^2

Area = 3.14 * 36cm^2

Area = 114.04cm^2

b.\ r = 7cm

The area is calculated as thus:

Area = \pi r^2

Area = 3.14 * (7cm)^2

Area = 3.14 * 49cm^2

Area = 153.86cm^2

<em></em>

c.\ r = 8cm

The area is calculated as thus:

Area = \pi r^2

Area = 3.14 * (8cm)^2

Area = 3.14 * 64cm^2

Area = 200.96cm^2

d.\ r = 9cm

The area is calculated as thus:

Area = \pi r^2

Area = 3.14 * (9cm)^2

Area = 3.14 * 81cm^2

Area = 254.34cm^2

<em>From the calculations above; only the circle in option (b) has an area within the required range of 135 to 155cm^2</em>

6 0
3 years ago
Read 2 more answers
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