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3 years ago

Which is equal to 8^-10/8^5 ?

1 answer:

8 0

$8^{-10}$ can be converted into $\frac{1}{ 8^{10} }$ , and applying this to $8^{-5}$ can see that

$\frac{ \frac{1}{ 8^{10} } }{ \frac{1}{ 8^{5} } }$

This gives us

$\frac{ 8^{5} }{ 8^{10} } = \frac{1}{ 8^{5} } = 8^{-5}$

You might be interested in

Write a translation rule that maps point d(7 -3) onto point d'(2 5)

Tems11 [23]

Answer:

translate (x,y) (x-5,y+8)

4 0

3 years ago

Given that f(a+b)= f(a) + f(b) and f(x) is always positive, what os the value of f(0)?

FrozenT [24]

This is a strange question, and f(x) may not even exist. Why do I say that? Well..

[1] We know that f(a+b) = f(a) + f(b). Therefore, f(0+0) = f(0) + f(0). In other words, f(0) = f(0) + f(0). Subtracting, we see, f(0) - f(0) = f(0) or 0 = f(0).

[2] So, what's the problem? We found the answer, f(0) = 0, right? Maybe, but the second rule says that f(x) is always positive. However, f(0) = 0 is not positive!

Since there is a contradiction, we must either conclude that the single value f(0) does not exist, or that the entire function f(x) does not exist.

To fix this, we could instead say that "f(x) is always nonnegative" and then we would be safe.

4 0

3 years ago

he nutrition label for Oriental Spice Sauce states that one package of sauce has 1100 milligrams of sodium. To determine if the

MrRissso [65]

Answer:

The 99% confidence interval for the mean sodium content in Oriental Spice Sauce is between 454.67 milligrams and 1722.61 milligrams

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 40 - 1 = 39

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 39 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.99}{2} = 0.995$ . So we have T = 2.7079

The margin of error is:

M = T*s = 2.7079*234.12 = 633.97

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 1088.64 - 633.97 = 454.67 milligrams

The upper end of the interval is the sample mean added to M. So it is 1088.64 + 633.97 = 1722.61 milligrams

The 99% confidence interval for the mean sodium content in Oriental Spice Sauce is between 454.67 milligrams and 1722.61 milligrams

8 0

3 years ago

Use the following function rule to find f(0).<br> f(x)=3(8)^x + 6<br> f(0)=

Anestetic [448]

Answer:

Answer: 9

Step-by-step explanation:

${ \tt{f(x) = 3( {8)}^{x} + 6 }}$

• For f(0), substitute x with zero:

${ \tt{f(0) = 3( {8)}^{0} + 6}} \\ \\ { \tt{f(0) = (3 \times 1) + 6}} \\ \\ { \tt{f(0) = 3 + 6}} \\ \\ { \boxed{ \tt{ \: f(0) = 9 \: }}}$

6 0

2 years ago

What is the value of r in the equation? Negative 1. 5 (4 minus r) = negative 12 –6 –4 4 6.

Debora [2.8K]

Answer:

-458

Step-by-step explanation:

-1.5(4 - r) = -12 - 6 -446

-6 + r = -464

r = -458

5 0

3 years ago