Round 68.5719758824 to 4 decimal places.

A jogger goes 1.5km west and then turns south.If the jogger finishes 1.7 km from the starting point,how far south did the jogger

kakasveta [241]

Hello!

You can use the Pythagorean Theorem to solve this

$a^{2} + b^{2} = c^{2}$

c is the hypotenuse
a and b are the legs

Put in the values you know

$1.5^{2} + b^{2} = 1.7^{2}$

Square the numbers

$2.25+ b^{2} =2.89$

Subtract 2.25 from both sides

$b^{2} =0.64$

Take the square root of both sides

b = 0.8

The answer is 0.8km

Hope this helps!

6 0

2 years ago

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage r

NISA [10]

The exponential function y = 290 · 0.31ˣ reports a decay as its growth rate is less than 1 and greater than 0. Its percentage rate of decrease is equal to 69 %.

<h3>How to determine the behavior of an exponential function</h3>

Exponential functions are trascendental functions, these are, functions that cannot be described algebraically. The simplest form of exponential functions is shown below:

y = a · bˣ (1)

Where:

a - Initial value
b - Growth rate
x - Independent variable.
y - Dependent variable.

Please notice that this kind of exponential function reports a growth for b > 1 and decay for b < 1 and b > 0. According to the statement we have the function y = 290 · 0.31ˣ, then we conclude that the exponential function given reports a decay.

The percentage rate of decrease is determined by the following formula:

100 × (1-0.31) = 100 × 0.69 = 69 %

The percentage rate of decrease related to the exponential function is 69 %.

To learn more on exponential functions: brainly.com/question/11487261

#SPJ1

7 0

1 year ago

A new soup recipe contains 33\%33% less sodium per serving than the old soup recipe. The old soup recipe contained xx milligrams

Eddi Din [679]

Answer: x(1-0.33) or 0.67 x

Step-by-step explanation:

The old soup recipe contained sodium per serving = x mg

According to the question,

The new soup recipe contains 33% less sodium per serving than the old soup recipe.

That is, the Sodium per serving in the new soup = the Sodium per serving in the new soup - 33% of the Sodium per serving in the new soup

= x - 33% of x

= x - 0.33 x ( since 1% = 0.01 ⇒ 33 % = 0.33 )

= x(1-0.33)

= x(0.67)

6 0

2 years ago

Read 2 more answers

Express x2+10x+30 in completed square form

lys-0071 [83]

Answer:

(x+5)^2+5

Step-by-step explanation:

4 0

2 years ago

The function y = f(x) is graphed below. What is the average rate of change of the

stepladder [879]

Answer:

Average rate of change = 1

Step-by-step explanation:

Average rate of change of a function between x = a and x = b is defined by,

Average rate of change = $\frac{f(b)-f(a)}{b-a}$

We have to find the average rate of change of the function in the interval 2 ≤ x ≤ 4

Therefore, average rate of change of the function = $\frac{f(4) - f(2)}{4-2}$

From the graph attached,

f(4) = 4

f(2) = 2

Average rate of change = $\frac{4-2}{4-2}$

= 1

Therefore, average rate of change of the function in the given interval is 1.

7 0

2 years ago