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2 years ago

What is the slope-intercept equation of the line below? y - i ntercept = (0, - 4) slope = 3

Mathematics

1 answer:

Artist 52 [7]2 years ago

4 0

Answer:

y = 3x -4

Step-by-step explanation:

The slope-intercept equation looks like this: $y = mx +b$ . Where m is the slope of the function and b is the y-coordinate of the vertical intercept (where the function crosses the y-axis). Let's apply the formula:

$y = mx +b$

$y = 3x +(-4)$

$y = 3x -4$

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Polly is a server at a

Anna [14]

Answer:

They gave her a $6.12 tip

Step-by-step explanation:

You have to multiply the total ($34) by the Percent (18% = 0.18), and then you will have your final answer.

8 0

2 years ago

The volume of a right circular cone with radius r and height h is V = pir^2h/3.

Scorpion4ik [409]

The question is incomplete. The complete question is :

The volume of a right circular cone with radius r and height h is V = pir^2h/3. a. Approximate the change in the volume of the cone when the radius changes from r = 5.9 to r = 6.8 and the height changes from h = 4.00 to h = 3.96.

b. Approximate the change in the volume of the cone when the radius changes from r = 6.47 to r = 6.45 and the height changes from h = 10.0 to h = 9.92.

a. The approximate change in volume is dV = _______. (Type an integer or decimal rounded to two decimal places as needed.)

b. The approximate change in volume is dV = ___________ (Type an integer or decimal rounded to two decimal places as needed.)

Solution :

Given :

The volume of the right circular cone with a radius r and height h is

$V=\frac{1}{3} \pi r^2 h$

$dV = d\left(\frac{1}{3} \pi r^2 h\right)$

$dV = \frac{1}{3} \pi h \times d(r^2)+\frac{1}{3} \pi r^2 dh$

$dV = \frac{2}{3} \pi r h (dr)+\frac{1}{3} \pi r^2 dh$

a). The radius is changed from r = 5.9 to r = 6.8 and the height is changed from h = 4 to h = 3.96

So, r = 5.9 and dr = 6.8 - 5.9 = 0.9

h = 4 and dh = 3.96 - 4 = -0.04

Now, $dV = \frac{2}{3} \pi r h (dr)+\frac{1}{3} \pi r^2 dh$

$dV = \frac{2}{3} \pi (5.9)(4)(0.9)+\frac{1}{3} \pi (5.9)^2 (-0.04)$

$dV=44.484951 - 1.458117$

$dV=43.03$

Therefore, the approximate change in volume is dV = 43.03 cubic units.

b). The radius is changed from r = 6.47 to r = 6.45 and the height is changed from h = 10 to h = 9.92

So, r = 6.47 and dr = 6.45 - 6.47 = -0.02

h = 10 and dh = 9.92 - 10 = -0.08

Now, $dV = \frac{2}{3} \pi r h (dr)+\frac{1}{3} \pi r^2 dh$

$dV = \frac{2}{3} \pi (6.47)(10)(-0.02)+\frac{1}{3} \pi (6.47)^2 (-0.08)$

$dV=-2.710147-3.506930$

$dV= -6.22$

Hence, the approximate change in volume is dV = -6.22 cubic units

8 0

2 years ago

Find an equation for the nth term of the sequence.<br> -1, -4, -16, -64, ...

Slav-nsk [51]

Answer:

An =4^(n-1)

Step-by-step explanation:

hello :

the sequence is geometric because : (-64)/(-16) = (-16)/(-4)=-4/-1= 4=r

the nth term is : An =A1 × r^(n-1)

a common ratio is : r and A1 the first term

in this exercice : r =4 A1 = 1

An =A1 × r^(n-1)

An =1 × 4^(n-1)=4^(n-1)

3 0

2 years ago

Express £5 as a fraction of £4.

viktelen [127]

Answer:

£5/£4

Step-by-step explanation:

£5 over £4 can be expressed as a fraction.

⇒ £5/£4

7 0

2 years ago

Read 2 more answers

How many times is 5 x 10^6 larger than 5 x 10^4

gayaneshka [121]

<h3>Answer:</h3>

By <em>100 times</em>.

Step-by-step explanation:

Each time something is in Scientific Notation, to every power of 10 something is multiplied by, it grows by 10 times.

By knowing that, if both equations use the same starting number, you can minus the notation section from the larger value, to find the answer.

10^6 - 10^4 = 10^2 ---> 100 times.

Hope that helps, :)

3 0

2 years ago