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3 years ago

What is the equation of the circle with center (-3.2,-2.1) and the radius 4.3?

2 answers:

5 0

If this makes sense lol... C = 2πr ≈ 2(3.14)(4.3) ≈ 27.02 m. An object travels in a circle of radius 4.3m at constant speed. It takes 1.4 seconds to go around once

loris [4]3 years ago

4 0

The equation of this cercle is (x + 3.2)² + (y + 2.1)² = 4.3²

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Find the value of x. I will mark brainliest

Mandarinka [93]

Answer:

The picture isnt working

Step-by-step explanation:

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3 years ago

A submarine dives at a constant speed of 10 m/s at a diving angle measured from the vertical

valina [46]

Answer:

155.3 m

Step-by-step explanation:

We have:

θ: is the angle measured from the vertical = 75 °

v = is the speed of the submarine = 10 m/s

t = 1 min

The deep of the front end of the submarine at the end of a 1-minute drive is given by the following ratio:

$cos (\theta) = \frac{x}{d}$

Where:

d: is the distance traveled by the submarine in 1 minute

x: is the deep to find

The distance, d, is:

$d = v*t = 10 \frac{m}{s}* 1 min * \frac{60 s}{1 min} = 600 m$

Now, the deep is:

$cos (75) = \frac{x}{600}$

$x = cos(75)*600 = 155.3 m$

Therefore, the deep of the front end of the submarine at the end of a 1-minute drive is 155.3 m.

I hope it helps you!

3 0

3 years ago

I dont understand how to do this precalc question

Alexeev081 [22]

Answer:

x-intercept: (-0.1, 0)
Horizontal Asymptote: y = -3
Exponential growth

(First answer option)

Step-by-step explanation:

General form of an exponential function

$y=ab^x+c$

where:

a is the initial value (y-intercept).
b is the base (growth/decay factor) in decimal form:
If b > 1 then it is an increasing function.
If 0 < b < 1 then it is a decreasing function.
y=c is the horizontal asymptote.
x is the independent variable.
y is the dependent variable.

Given exponential function:

$y=4(10)^x-3$

<h3>x-intercept</h3>

The x-intercept is the point at which the curve crosses the x-axis, so when y = 0. To find the x-intercept, substitute y = 0 into the given equation and solve for x:

$\begin{aligned}& \textsf{Set the function to zero}:& 4(10)^x-3 &=0\\\\& \textsf{Add 3 to both sides}:& 4(10)^x &=3\\\\& \textsf{Divide both sides by 4}:& 10^x &=\dfrac{3}{4}\\\\& \textsf{Take natural logs of both sides}:& \ln 10^x &=\ln\left(\dfrac{3}{4}\right)\\\\& \textsf{Apply the power log law}:&x \ln 10 &=\ln\left(\dfrac{3}{4}\right)\\\\& \textsf{Divide both sides by }\ln 10:&x&=\dfrac{\ln\left(\dfrac{3}{4}\right)}{\ln 10} \\\\& \textsf{Simplify}:&x&=-0.1\:\:\sf(1\:d.p.)\end{aligned}$

Therefore, the x-intercept is (-0.1, 0) to the nearest tenth.

<h3>Asymptote</h3>

An asymptote is a line that the curve gets infinitely close to, but never touches.

The parent function of an exponential function is:

$f(x)=b^x$

As x approaches -∞ the function f(x) approaches zero, and as x approaches ∞ the function f(x) approaches ∞.

Therefore, there is a horizontal asymptote at y = 0.

This means that a function in the form $f(x) = ab^x+c$ always has a horizontal asymptote at y = c.

Therefore, the horizontal asymptote of the given function is y = -3.

<h3>Exponential Growth and Decay</h3>

A graph representing exponential growth will have a curve that shows an increase in y as x increases.

A graph representing exponential decay will have a curve that shows a decrease in y as x increases.

The part of an exponential function that shows the growth/decay factor is the base (b).

If b > 1 then it is an increasing function.
If 0 < b < 1 then it is a decreasing function.

The base of the given function is 10 and so this confirms that the function is increasing since 10 > 1.

Learn more about exponential functions here:

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6 0

2 years ago

Manuel has pennies and nickels with a total value of $1.15. The number of nickels is 43 less than the number of pennies. How man

Veseljchak [2.6K]

Answer:

45 Pennies

14 Nickels

Step-by-step explanation:

1.15 - .43 = .72

72 % 5 = 14.? - 14 nickels

.2 left - 2 pennies

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3 years ago

The Ferris wheel makes 12 revolutions per ride how far would someone travel during one ride

professor190 [17]

Question how much distance is in each revolvison

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3 years ago