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WINSTONCH [101]
2 years ago
13

Please help me with this question.

Mathematics
1 answer:
user100 [1]2 years ago
3 0

Answer:

b

Step-by-step explanation:

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How to solve the exponential equation for 3^k2 • 3^-k+2 = 81
wariber [46]

Answer:

k=2

Step-by-step explanation:

3^k*2 * 3^-k+2 = 81

Factor out 81 to be : 3^4

Rewrite the equation:

k*2 - k+2 = 4

k^2 - 2k = 4

Simplify : k+2 = 4

            <u>    - 2   - 2</u>

             k = 2

6 0
3 years ago
3 points
garri49 [273]

Answer:

j=8

Step-by-step explanation:

30-6=24 divived by 3 = 8 which means jordans age is 8 and matthew is 16

5 0
2 years ago
Assume that 33.4% of people have sleepwalked. Assume that in a random sample of 1459 ​adults, 526 have sleepwalked.
lutik1710 [3]

Answer:

Step-by-step explanation:

Given that  33.4% of people have sleepwalked.

Sample size n =1459

Sample favourable persons = 526

Sample proportion p = \frac{526}{1459} \\=0.361

Sample proportion p is normal for large samples with mean = 0.334 and

std error = \sqrt{\frac{pq}{n} } \\=\sqrt{\frac{0.334(1-0.334)}{1459} } \\=0.0123

a) P(526 or more of the 1459 adults have sleepwalked.)

=P(p\geq 0.361)\\=P(Z\geq \frac{0.361-0.334}{0.0123} \\=P(Z\geq 2.20)\\=0.5-0.4861\\=0.0139

b) Yes, because hardly 1.4% is the probability

c) 33.4 is very less compared to the average.  Either sample should be improved representing the population or population mean should be increased accordingly.

7 0
3 years ago
for f(x)=1/x-5 and g(x)=x^2+2 find the expression for g(x) and substitute the value of g(x) into the function in place of x to f
IRISSAK [1]

Answer:

f(x)  = (1/x) - 5

g(x) = x^2 + 2

=> f[g(x)] = [1/(x^2 +2)] - 5

5 0
3 years ago
What is the volume of the following triangular prism?
BlackZzzverrR [31]

Answer: 3000cm3

To find the area you need to find the area of the triangle and multiply that by the height of the prism.

The area of the triangle is

.5*12*10 = 60

And the height is .5m = 50cm

So the area will be

60*50 = 3000

7 0
3 years ago
Read 2 more answers
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