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stepladder [879]
3 years ago
13

What is 40 times 16 ​

Mathematics
2 answers:
kompoz [17]3 years ago
7 0

Answer:

640

Step-by-step explanation:

makkiz [27]3 years ago
5 0

Answer:

the answer is 640 you're welcome

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4. Jan bought donuts for $6.75. Each bagel cost<br> $0.75. How many bagels did she buy?
Nataly_w [17]

Answer:

9 bagels

Step-by-step explanation:

Divide the price ($6.75) by the price of one bagel ($0.75) to get the amount of bagels Jan bought. (9)

6 0
2 years ago
Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving
harina [27]

Answer:

The volume of the solid is 714.887 units³

Step-by-step explanation:

* Lets talk about the shell method

- The shell method is to finding the volume by decomposing

 a solid of revolution into cylindrical shells

- Consider a region in the plane that is divided into thin vertical

 rectangle

- If each vertical rectangle is revolved about the y-axis, we

 obtain a cylindrical shell, with the top and bottom removed.

- The resulting volume of the cylindrical shell is the surface area

  of the cylinder times the thickness of the cylinder

- The formula for the volume will be:  V = \int\limits^a_b {2\pi xf(x)} \, dx,

  where 2πx · f(x) is the surface area of the cylinder shell and

  dx is its thickness

* Lets solve the problem

∵ y = x^{\frac{5}{2}}

∵ The plane region is revolving about the y-axis

∵ y = 32 and x = 0

- Lets find the volume by the shell method

- The definite integral are x = 0 and the value of x when y = 32

- Lets find the value of x when y = 0

∵ y = x^{\frac{5}{2}}

∵ y = 32

∴ 32=x^{\frac{5}{2}}

- We will use this rule to find x, if x^{\frac{a}{b}}=c, then=== x=c^{\frac{b}{a}} , where c

 is a constant

∴ x=(32)^{\frac{2}{5}}=4

∴ The definite integral are x = 0 , x = 4

- Now we will use the rule

∵ V = \int\limits^a_b {2\pi}xf(x) \, dx

∵ y = f(x) = x^(5/2) , a = 4 , b = 0

∴ V=2\pi \int\limits^4_0 {x}.x^{\frac{5}{2}}\, dx

- simplify x(x^5/2) by adding their power

∴ V = 2\pi \int\limits^4_0 {x^{\frac{7}{2}}} \, dx

- The rule of integration of x^{n} is ==== \frac{x^{n+1}}{(n+1)}

∴ V = 2\pi \int\limits^4_0 {x^{\frac{9}{2}}} \, dx=2\pi[\frac{x^{\frac{9}{2}}}{\frac{9}{2}}] from x = 0 to x = 4

∴ V=2\pi[\frac{2}{9}x^{\frac{9}{2}}] from x = 0 to x = 4

- Substitute x = 4 and x = 0

∴ V=2\pi[\frac{2}{9}(4)^{\frac{9}{2}}-\frac{2}{9}(0)^{\frac{9}{2}}}]=2\pi[\frac{1024}{9}-0]

∴ V=\frac{2048}{9}\pi=714.887

* The volume of the solid is 714.887 units³

5 0
3 years ago
Graph. Y + 1 = 1/3 ( x - 3)
zvonat [6]

Answer:

y=1/3x-2

Step-by-step explanation:

Plot a point at x=-2 and then for the slope (1/3, rise/run) count up 1 and over 3 starting from -2. This is a line. Y intercept at -2 and x intercept at 6.

6 0
3 years ago
3273 is least or greather to 3279
slega [8]
3279 is greater than 3273
7 0
3 years ago
Read 2 more answers
It's always a good idea to check your solutions to any equation in the original equation. When solving an absolute value equatio
Andru [333]

You should must check for an extraneous solution when  the variable appears both inside and outside the absolute value expression

<h3>What is an extraneous solution?</h3>

An extraneous solution is a solution that in obtained after completely solving an equation but it does not  work in the original given equation.

You should must check for an extraneous solution when  the variable appears both inside and outside the absolute value expression (Option D).

Learn more about extraneous solution: brainly.com/question/14054707

#SPJ1

7 0
2 years ago
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