All categories

2 years ago

Please help Worth 20 points Show the work

Mathematics

1 answer:

Dvinal [7]2 years ago

4 0

Answer:

area: 60π cm² ≈ 188.5 cm²
volume: 63π cm³ ≈ 197.9 cm³
doubling the radius

Step-by-step explanation:

The surface area of a right cylinder is given by the formula ...

SA = 2πr(r +h) . . . . . radius r, height h

Filling in the given values, we find the area to be ...

SA = 2π(3 cm)(3 +7 cm) = 60π cm² ≈ 188.5 cm²

The volume of the cylinder is given by the formula ...

V = πr²h . . . . . radius r, height h

Filling in the given values, we find the volume to be ...

V = π(3 cm)²(7 cm) = 63π cm³ ≈ 197.9 cm³

The volume is proportional to r², so doubling the radius will multiply the volume by 2² = 4.

The volume is proportional to the height, so multiplying the height by 3 will multiply the volume by 3.

4 > 3, so doubling the radius gives the most volume

You might be interested in

The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days.

Zarrin [17]

Let the lengths of pregnancies be X
X follows normal distribution with mean 268 and standard deviation 15 days
z=(X-269)/15

a. P(X>308)
z=(308-269)/15=2.6
thus:
P(X>308)=P(z>2.6)
=1-0.995
=0.005

b] Given that if the length of pregnancy is in lowest is 44%, then the baby is premature. We need to find the length that separates the premature babies from those who are not premature.
P(X<x)=0.44
P(Z<z)=0.44
z=-0.15
thus the value of x will be found as follows:
-0.05=(x-269)/15
-0.05(15)=x-269
-0.75=x-269
x=-0.75+269
x=268.78
The length that separates premature babies from those who are not premature is 268.78 days

8 0

3 years ago

5(2x + 4) = 50 (Given) 10x + 20 = 50 (Distributive Property) 10x = 30 (?) x = 3 (Division Property) Fill in the missing reason f

mestny [16]

We go from 10x+20 = 50 to 10x = 30 after we subtract 20 from both sides. So we use the subtraction property (of equality).

Answer: Choice D

6 0

2 years ago

Read 2 more answers

Give work for equations following:<br><br> -x+2y<-4<br> 2x+3y>6<br><br> thanks sooooo much!!!!

Schach [20]

Answer: See below

Step-by-step explanation:

A) $-x+2y < -4$

$-x+2y-2y < -4-2y$

$-x < -4-2y$

Multiply both sides by -1 and reverse the inequality:

$\left(-x\right)\left(-1\right) > -4\left(-1\right)-2y\left(-1\right)$

$x > 4+2y$

B) $2x+3y > 6$

$2x+3y-3y > 6-3y$

$2x > 6-3y$

$\frac{2x}{2} > \frac{6}{2}-\frac{3y}{2}$

$x > \frac{6-3y}{2}\\x > 3-\frac{3y}{2}$

3 0

2 years ago

What is the sequence of 5,11,18,26...

antoniya [11.8K]

11-5=6
18-11-7
26-18=8
........... so on and so forth.
I think you get the point.

7 0

3 years ago

Taryn conducted a science experiment on saturation. She added sugar to sugar water solution at different intervals. The graph sh

dusya [7]

Equation of a line:
$y=mx+c$

m = gradient: The difference between two y points and two x points.
$m= \frac{\Delta y}{\Delta x}$

c = y-intercept: Where the line crosses the y-axis (x=0)

You have:
$y=\textunderscore\textunderscore \ x + \textunderscore$
so you are missing the m and the c.

To calculate m find two y coordinates -you have (12, <u>7</u>) and (0, <u>1</u>)- and subtract them. Then divide this by the subtracted values of the x coordinates -you have (<u>12</u>, 7) and (<u>0</u>, 1)- This gives:

$m= \frac{7-1}{12-0}$
$m= \frac{6}{12}$
$m=0.5$

To calculate the c, you just see where the line crosses the y-axis. Because you have the point (0, 1), you know that when x=0, y=1. Because x=0 is on the y-axis, you can tell that the line passes through y=1. This makes your c = 1:

$c=1$

When you plug these values into the equation you get your answer:

$y=0.5x+1$

6 0

3 years ago