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2 years ago

5

The level of water in a bathtub rises 5 inches in 2 hours. What represents the rate of change of the water level with respect to

time?

2 answers:

nika2105 [10]2 years ago

8 0

You're looking for displacement meaning the change in the water level but also according to that specific time.
5/2= 2.5

loris [4]2 years ago

6 0

Increase of water level at the rate of 2.5 inches per hour.

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The arc length of a circle of radius 4 is 6.9813. What is the central angle created by the arc? Round

gladu [14]

The central angle is 2 radians.

Step-by-step explanation:

Arc length of circle = 6.9813

Radius of circle = 4

Central angle = ?

The formula used to find central angle is :

$s=r\theta$

where s= arc length, r = radius and Ф= central angle

We are given:

s= 6.9813 and r = 4 , finding central angle:

$s=r\theta\\6.9813=4*\theta\\\theta=\frac{6.9813}{4}\\\theta=1.7453 \,\,radians$

Rounding off to nearest whole number:

$theta=1.7453 \,\,radians\\theta=2 \,\,radians$

So, The central angle is 2 radians.

Keywords: Central angle of circle

Learn more about Central angle of circle at:

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3 0

2 years ago

T + 8/10 = 9/10 <br> i need the value of t please

dexar [7]

Answer:

1/10

Step-by-step explanation:

3 0

3 years ago

Solve (x + 1)2 – 4(x + 1) + 2 = 0 using substitution. u = x 4(x +1) x +1 (x + 1)2

marta [7]

no substituion only rea numbersStep-by-stion:

4 0

2 years ago

How much did you invest if you earned $131.60 in interest at a rate of 4% for seven years?

Ket [755]

The amount invested is $ 470

<h3><u>Solution:</u></h3>

Given that , we have earned $131.60 as simple interest for an amount deposit at the rate of 4% for seven years.

We have to find the amount invested. That is, we need to find the principal sum

Let us use the simple interest formula

<em><u>The simple interest is given as:</u></em>

$\text { Simple interest }=\frac{p r i n c i p a l \times \text {rate of interest } \times \text {number of years}}{100}$

Here, simple interest = $ 131.60

Rate of interest = 4 %

Number of years = 7

principal = ?

Substituting the values in formula, we get

$\begin{array}{l}{131.6=\frac{\text { principal } \times 4 \times 7}{100}} \\\\ {131.6 \times 100=\text { principal } \times 4 \times 7} \\\\ {13160=\text {principal } \times 28} \\\\ {\text {Principal }=470}\end{array}$

Thus the amount invested is $ 470

4 0

3 years ago

3x - 5y = -35 <br> please solve and show your work

scoray [572]

You use the formula y=mx+b, therefore you have to isolate the y
First you subtract 3x to both sides.
3x - 5y = -35
-3x -3x
Then it would be
-5y = -3x -35
Then you divide -5 on both sides to isolate the y
-5y = -3x -35
/-5 /-5 /-5
Two negatives cancel out and make a positive so it would be
Y = 3/5x + 7
(:

8 0

2 years ago