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2 years ago

If (8^2)p = 8^4, what is the value of p?

Mathematics

1 answer:

den301095 [7]2 years ago

3 0

The answer is 2.
Explantation:
First, we simplify it to 64^p = 4096.
Then, take the log of both sides:
p = log (4096) / log (64)
p = 2

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Please help. I will mark brainliest answer

leva [86]

Answer:

6) ≈ 904.74 7) 88

Step-by-step explanation:

use a caulater and the proper equations

to find the volume of a sphere you must use V=4\3•π•r^3 (four thirds times pi time the radius cubed), plug in 6 into "r" in the equation and that should give you roughly 904.74

To find the volume of a pyramid you must use the equation Lwh\3 (length times width times hight product of which is divided by 3) giving you 88

7 0

2 years ago

Estimate 1 13 cos(x2) dx 0 using the Trapezoidal Rule and the Midpoint Rule, each with n = 4. (Round your answers to six decimal

babunello [35]

Answer:

(a) 4.152698

(b) 3.215557

Step-by-step explanation:

(a)

$\int\limits^{13}_1 {cos(x^2)} \, dx =M_n=$\sum_{n=1}^{\infty} f(m_i)\Delta x $$

n=4, so :

Each subinterval has length :

$\Delta x= \frac{b-a}{n} =\frac{13-1}{4} =\frac{12}{4} =3$

Therefore the subintervals consist of:

$[1,5], [5,9], [9,13]$

Now, the midpoints of these subintervals are:

$\frac{1+5}{2} =3\\\\\frac{5+9}{2} =7\\\\\frac{9+13}{2} =11$

Hence:

$M_4= 3*(cos(3^2))+3*(cos(7^2))+3*cos((11^2))\approx 4.152698$

(b)

$\int\limits^{13}_1 {cos(x^2)} \, dx =T_n=\frac{\Delta x}{2} (f(x_o)+2f(x_1)+2f(x_2)+...+2f(x_n_-_1)+f(x_n))$

n=4, so :

Each subinterval has length :

$\Delta x= \frac{b-a}{n} =\frac{13-1}{4} =\frac{12}{4} =3$

Therefore the subintervals consist of:

[1,5], [5,9], [9,13]

The endpoints of the subintervals consist of:

5,9

Hence:

$T_4= \frac{3}{2}(cos(1^2)+2*cos(5^2)+2*cos(9^2)+cos(13^2)) \approx 3.215557$

8 0

2 years ago

Select the graph that represents the given set. (Click on the graph until the correct one is showing.) B = {(1, 2), (2, 1), (3,

olga2289 [7]

Answer:

The answer to your question is:

Step-by-step explanation:

See the graph below.

the answer is that graph because all the points given are represented in the graph.

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3 years ago

If y varies directly as x, and y is 6 when x is 72, what is the value of y when x is 8?

Illusion [34]

Answer:

2/3

Step-by-step explanation:

you can set it up as x/y because it varies directly

so when y=6 x=72

72/6 = 12

so x will always be 12 times greater than y

x=12y

so if x=8

8=12y

y=8/12

y=2/3

3 0

2 years ago

Ann Landers – who wrote a daily advice column appearing in newspapers across the country – once asked her readers, "If you had i

elena55 [62]

Answer:

It shows that the survey is meaningless because of voluntary response bias.

Step-by-step explanation:

This survey in the question provides a very good example of voluntary response bias and this often overrepresents negative opinions. Now, the people who chose to respond were most likely parents who were very unhappy, and so, there is very little chance that the 10,000 respondents were representative of the population. Knowing more about her readers, or taking a sample of the sample, would not have helped.

Thus, we can conclude that ;The survey is meaningless because of voluntary response bias.

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3 years ago