A cheetah typically runs 15 miles in 1/5 hours l.How fast does a Cheetah run in miles/hours?

How are the graphs of the functions f(x) = √16^x and g(x) =3√64^x related?

liberstina [14]

Answer:- The functions f(x) and g(x) are equivalent.

Explanation:-

Given functions:- $f(x)=\sqrt{16^x}$ and $g(x)=\sqrt[3]{64^x }$

Simplify the functions by using law of exponents

$(a^n)^m=a^{nm}$

Thus $f(x)=\sqrt{16^x}=\sqrt{(4^2)^x}=\sqrt{4^{2x}} =\sqrt{(4^x)^2}=4^x$

and $g(x)=\sqrt[3]{64^x}=\sqrt[3]{(4^3)^x}= \sqrt[3]{4^{3x}}= \sqrt[3]{(4^x)^3}=4^x$

⇒f(x)=g(x)

Therefore ,the functions f(x) and g(x) are equivalent.

7 0

3 years ago

Read 2 more answers

Please solve my difficult question fast

kicyunya [14]

The 3 angles form the straight line AB. A straight line equals 180 degrees.

The 3 angles when added together need to equal 180:

2x + 65 + (x + 65) = 180

Simplify by combining like terms:

3x + 130 = 180

Subtract 130 from both sides

3x = 50

Divide both sides by 3

X = 50/3

X = 16 2/3 (16.66667 as a repeating decimal)

Now you have x if you need to solve all the angles replace x with its value and sole:

2x = 2(16 2/3) = 33 1/3

X + 65 = 16 2/3 + 65 = 81 2/3

7 0

2 years ago

Read 2 more answers

Find the sample standard deviation of the following data set, using the statistical functions on your calculator.0.2315 0.4725 0

Nonamiya [84]

Answer:

Option C) 0.2358

Step-by-step explanation:

We are given the following data set:

0.23105, 0.4725, 0.8765, 0.4865, 0.5326, 0.7976

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{3.39675}{6} = 0.566125$

Sum of squares of differences = 0.1122752556 + 0.008765640625 + 0.09633264063 + 0.006340140625 + 0.001123925625 + 0.05358067562 = 0.2784182787

$S.D = \sqrt{\frac{0.2784182787}{5}} = 0.2358$

Thus, the standard deviation for given data is

Option C) 0.2358

7 0

3 years ago

A family has two cars. the first car has a fuel efficiency of 30 miles per gallon of gas and the second has a fuel efficiency of

jeka57 [31]

X : the gas used by first car in 1 particular week
y : the gas used by second car in 1 particular week
$x + y = 60 \\ x = 60 - y$
$30x + 35y = 1975 \\ 30 \times (60 - y) + 35y = 1975 \\ ... \\ y = 35 \\ x = 60 - y = 60 - 35 = 25$

5 0

3 years ago

HELP! What is the value of X that will make A parallel to B? WILL GIVE BRAINLIEST!

solong [7]

Answer:

11

Step-by-step explanation:

Those are alternate exterior angles. IF the lines A and B are parallel, then those angles are equal. Set them equal to each other and solve for x:

5x + 9 = 6x - 2

Combine like terms:

11 = x

5 0

3 years ago