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3 years ago

Consider the equation and its solution.

Mathematics

2 answers:

charle [14.2K]3 years ago

6 0

Answer:

The correct answer is d. division property of equality

denis-greek [22]3 years ago

4 0

Answer:

division property of equality

Step-by-step explanation:

To go from 8x = 80 to x = 10 we divide each side by 10

The property that allows this is the division property of equality

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Evaluate the line integral using the fundamental theorem of line integrals. use a computer algebra system to verify your results

mario62 [17]

$\dfrac{\partial f}{\partial x}=\cos x\sin y\implies f(x,y)=\sin x\sin y+g(y)$

$\dfrac{\partial f}{\partial y}=\sin x\cos y=\sin x\cos y+\dfrac{\mathrm dg}{\mathrm dy}$
$\implies\dfrac{\mathrm dg}{\mathrm dy}=0\implies g(y)=C$

$f(x,y)=\sin x\sin y+C$

$\displaystyle\int_{\mathcal C}\cos x\sin y\,\mathrm dx+\sin x\cos y\,\mathrm dy=\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=f\left(\frac{3\pi}2,\frac\pi2\right)-f(0,-\pi)=-1$

7 0

3 years ago

What is the solution to this inequality?<br> -4X > 500

Tcecarenko [31]

Answer: x < -125

Step-by-step explanation:

-4x / (-4) < 500 / (-4)

x < -125

7 0

3 years ago

HELP i cant really understand how to work it out... its algebra btw.

marishachu [46]

Answer:

A because you can go into the numbers evenly

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

There are 10 true-false questions and 20 multiple choice questions from which to choose a five-question quiz how many ways can t

beks73 [17]

Answer:

In 68229 ways can the quiz be selected such that there is atleast three multiple choice questions

Step-by-step explanation:

Given:

Number of True or false questions= 10

Number of multiple choice questions= 20

To Find:

How many ways can 5 questions can be selected if there must be at least three multiple choice questions =?

Solution:

Combination

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.

The question States there sholud be ATLEAST 3 multiple choice question,

So, we may have

(3 Multiple choice question and 2 true or false question) or

(4 Multiple choice question and 1 true or false question) or

(5 Multiple choice question and 0 true or false question)

Required Number of ways = (20C3 X10C2) +(20C4 X10C1) + (20C5 X10C0)

Required Number of ways $=(\frac{20!}{20!(20-3)!}\times\frac{10!}{10!(10-2)!})+(\frac{20!}{20!(20-4)!} \times \frac{10!}{10!(10-1)!}) +(\frac{20!}{20!(20-4)!} \times \frac{10!}{10!(10-0)!})$

Required Number of ways = ( 1140 x 42) + (4845 x 10) +(15504 x 1)

Required Number of ways = 47880+48450+15504

Required Number of ways = 68229

3 0

3 years ago

Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of s

irakobra [83]

Answer:

5 1/3 hours.

Step-by-step explanation:

Ashley prepares 1 bag in 2/3 minutes.

One friend takes 2/3 + 3/4 * 2/3 = 7/6 minutes to make 1 bag.

4 of her friends can make 1 bag in 7/6 * 1/4 = 7/24 minutes.

If it takes x minutes for Ashley and 4 friends to make one bag then we have:

1 / 2/3 + 1 / 7/24 = 1 / x

3/2 + 24/7 = 1/x

Multiply through by 14x:

21x + 48x = 14

x = 14/69 minutes.

So the time to make 1575 bags = 1575 * 14/69

= 320 minutes.

5 0

3 years ago

Read 2 more answers