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3 years ago

the diameter of the a sphere is increading at the rate of 2cm. per minute. Find the rate of change of the radius

1 answer:

3 0

So...the diameter is increasing at a rate if 2cm/minute, therefore the radius (1/2 the diameter) is increasing at half the rate. You will learn how to calculate the rate of change at a specific point in time in calculus.

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Which graph shows the solution to the system of linear inequalities? x – 4y < 4 y < x + 1 Image for option 1 Image for opt

slava [35]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$x-4y$ ----> inequality A

solve for y

$-4y$

$4y>x-4$

$y> (x/4)-1$

The solution of the inequality A is the shaded area above the dashed line

The slope of the dashed line is positive

The y-intercept is the point $(0,-1)$

The x-intercept is the point $(4,0)$

$y< x+1$ ----> inequality B

The solution of the inequality B is the shaded area below the dashed line

The slope of the dashed line is positive

The y-intercept is the point $(0,1)$

The x-intercept is the point $(-1,0)$

Using a graphing tool

The solution of the system of inequalities in the attached figure

7 0

3 years ago

What is one half added to three quarters

Eduardwww [97]

1/2 + 3/4 = 2/4 + 3/4 = 5/4 = 1 1/4
Here I change to the common denominator 4 so I could add them.

8 0

3 years ago

How many sides do 4 hexagons, 1 octagon, and 5 dodecagons have in all?

Vladimir79 [104]

Hexagon = 6 sides = 6 x 4 = 24

Octagon = 8 sides = 8

Dodecagons = 12 x 5 = 60

24 + 8 + 60 = 92 IN TOTAL

5 0

3 years ago

Read 2 more answers

Please help fast this is due pretty soon and I have to go somewhere any explanation or answer would be great

Lostsunrise [7]

Don’t click the link it’s a hack

8 0

2 years ago

Read 2 more answers

A loan is paid off in 30 years with a total of $99,000. It had a 3% interest rate that compounded monthly. What was the principa

gayaneshka [121]

Answer:

The principle will be "40295.63". A further explanation is given below.

Step-by-step explanation:

The given values are:

Total amount,

A = 99,000

Rate of interest,

R = 3%

Time period,

T = 30 years

= 360 months

As we know,

⇒ $A=P(1+\frac{{\frac{R}{12} }}{100} )^T$

On substituting the values, we get

⇒ $99000=P(1+\frac{\frac{3}{12}}{100})^{360}$

⇒ $99000=P(1+\frac{\frac{1}{4} }{100}) ^{360}$

⇒ $P=\frac{99000}{(1.0025)^{360}}$

⇒ $P=40295.63$

4 0

2 years ago