You have a goal to save $250. You have saved $160? What percent of your goal have you reached?

Which statement BEST describes the growth of bacteria modeled by the function f(x)=1.8x

lara [203]

Answer:

Step-by-step explanation:

f(x) = 1.8x is a linear function and does not model the growth of bacteria. Perhaps you meant f(x) = 1.8^x, which is an exponential function whose initial value is 1. Please ensure that you have copied down this problem exactly as it was presented.

6 0

3 years ago

An Archer shoots an arrow horizontally at 250 feet per second. The bullseye on the target and the arrow are initially at the sam

Genrish500 [490]

Answer:

Step-by-step explanation:

Using the formula for finding range in projectile, Since range is the distance covered in the horizontal direction;

Range $R = U\sqrt{\frac{H}{g} }$

U is the velocity of the arrow

H is the maximum height reached = distance below the bullseye reached by the arrow.

R is the horizontal distance covered i.e the distance of the target from the archer.

g is the acceleration due to gravity.

Given R = 60ft, U = 250ft/s, g = 32ft/s H = ?

On substitution,

$60 = 250\sqrt{\frac{H}{32}} \\\frac{60}{250} = \sqrt{\frac{H}{32}}\\\frac{6}{25} = \sqrt{\frac{H}{32}$

Squaring both sides we have;

$(\frac{6}{25} )^{2} = (\sqrt{\frac{H}{32} } )^{2} \\\frac{36}{625} = \frac{H}{32} \\625H = 36*32\\H = \frac{36*32}{625} \\H = 1.84feet$

The arrow will hit the target 1.84feet below the bullseye.

5 0

3 years ago

The table shows values of of a function F(x). What is the average rate of change F(x) over the interval from X = 5 to x = 9? Sho

vitfil [10]

Answer: the average rate of change is 4.

Step-by-step explanation:

The average rate of change is the slope. Therefore, you must use the following formula for calculate the slope:

$m=\frac{y_2-y_1}{x_2-x_1}$

As you can see in the table, when x=5, y=-2 and when x=9, y=14. Then the points you must substitute into the formula are:

(5,-2) and (9,14)

Then, you obtain:

$m=\frac{14-(-2)}{9-5}=4$

8 0

3 years ago

0.5, 3/16, 0.75, 5/48 least to greatest

jarptica [38.1K]

An easy way for me to do this is to either make all of the fractions into decimals or all the decimals into fractions, whatever you prefer. I prefer fractions, but for typing reasons I’m going to make them all decimals. Making 5/48 into a decimal you divide 5 by 48 and get 0.104... and divide 3 by 16 and get 0.1875. Then from there, look at whatever tenths place number is the least (the number after the decimal). Two of them have one, so moving onto the next number, 8>0, which means 0.104 is less then 0.1875. Then 5<7. So from least to greatest, 5/48 (0.104), 3/16 (0.1875), 0.5, 0.75.
Good Luck!

7 0

3 years ago

A

Evgesh-ka [11]

The answer will end up being c

6 0

3 years ago