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3 years ago

Find the 62nd term of the arithmetic sequence -27, -21, -15, ...

Mathematics

1 answer:

kaheart [24]3 years ago

5 0

Answer:

a = -27

d = -21 - ( -27) => 6

a62 => a + 61 (d) +=> -27 + 61(6)

=> -27 + 366

=> 339

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1 bag of grape tomatoes coast $3 how many packages can you buy for $15

hoa [83]

Answer:

5 package

Step-by-step explanation:

1 bag = $3

X bag = $15

1 * 15/3 = 5 bags

hence : 5 bag can be bought out of $15

6 0

3 years ago

For the school concert band performance student tickets cost eight dollars each and adult tickets cost $12 each the seller is co

Alexxandr [17]

S + a = 300...s = 300 - a
8s + 12a = 3200

8(300 - a) + 12a = 3200
2400 - 8a + 12a = 3200
-8a + 12a = 3200 - 2400
4a = 800
a = 800/4
a = 200 <==== 200 adult tickets

s = 300 - a
s = 300 - 200
s = 100 <=== 100 student tickets

8 0

3 years ago

Identify the solution set of 3 In 4 = 2 In x.<br> -{6}<br> -{-8,8}<br> -(8)

o-na [289]

Option C: The solution set is $\{8\}$

Explanation:

The expression is $3 \ln 4=2 \ln x$

Now, let us find the solution set.

Switch sides, we get,

$2 \ln x=3 \ln 4$

Dividing by 2 on both sides, we have,

$\ln x=\frac{3 \ln 4}{2}$

Thus, $\ln 4=\ln 2^2=2\ln 2$

Hence, the above expression becomes,

$\ln x=\frac{3 \cdot 2 \ln (2)}{2}$

Simplifying, we get,

$\ln x=3 \ln 2$

Applying the log rule, we get,

$$\ln x$=\ln \left(2^{3}\right)$

Simplifying, we have,

$$\ln x$=\ln \left8\right$

Applying the log rule, we have,

$x=8$

Thus, the solution set is $\{8\}$

Hence, Option C is the correct answer.

5 0

3 years ago

A population of rabbits in a lab, p(x), can be modeled by the function p(x) = 20(1.014)x , where x represents the number of days

Nitella [24]

Answer:

20 = initial population of the rabbits

1.014 = growth rate of the rabbits

the average rate of change from day 50 to day 100 is 0.8

Step-by-step explanation:

A population of rabbits in a lab, p(x), can be modeled by the function

p(x) = 20(1.014)^x

This model is exponential. Where 20 = initial population of the rabbits

1.014 = growth rate of the rabbits with 1.4% increase rate of the rabbits

To find the average rate of change from day 50 to day 100,

find the population p(50) and p(100). Subtract them and divide by 100 - 50 = 50.

p(50) = 20(1.014)50 = 40.08...

p(100) = 20(1.014)100 = 80.32...

(80.32 - 40.08) / (100 - 50) = 40.24/50 = 0.8048. which is approximately 0.8 to the nearest tenth.

The rate of change is 0.8.

7 0

3 years ago

In a game the player wins if he rolls a 6 on a number cube.

MakcuM [25]

Answer:

Percent chance of winning = A / (A +B) = 1 / (1 +6) * 100 = 14.29 %

Step-by-step explanation:

3 0

3 years ago