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3 years ago

Mr. Jones buy 6 packages of pencils. There are 8 pencils in each package. How many pencils does Mr. Jones buy?

Mathematics

2 answers:

NeX [460]3 years ago

6 0

Answer:

Mr. Jones buys 48 Pencils.

Step-by-step explanation:

6x8=48

amid [387]3 years ago

3 0

Step-by-step explanation:

48 pencils.

If there is 6 packages of pencils, and there is 8 pencils in each, then you multiply 6 x 8 to get 48 pencils.

I hope this helped.

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Convert the Cartesian equation (x 2 + y 2)2 = 4(x 2 - y 2) to a polar equation.

SashulF [63]

ANSWER

${r}^{2} = 4 \cos2\theta$

EXPLANATION

The Cartesian equation is

${( {x}^{2} + {y}^{2} )}^{2} = 4( {x}^{2} - {y}^{2} )$

We substitute

$x = r \cos( \theta)$

$y = r \sin( \theta)$

and

${x}^{2} + {y}^{2} = {r}^{2}$

This implies that

${( {r}^{2} )}^{2} = 4(( { r \cos\theta) }^{2} - {(r \sin\theta) }^{2} )$

Let us evaluate the exponents to get:

${r}^{4} = 4({ {r}^{2} \cos^{2}\theta } - {r}^{2} \sin^{2}\theta)$

Factor the RHS to get:

${r}^{4} = 4{r}^{2} ({ \cos^{2}\theta } - \sin^{2}\theta)$

Divide through by r²

${r}^{2} = 4 ({ \cos^{2}\theta } - \sin^{2}\theta)$

Apply the double angle identity

$\cos^{2}\theta -\sin^{2}\theta= \cos(2 \theta)$

The polar equation then becomes:

${r}^{2} = 4 \cos2\theta$

7 0

3 years ago

18+ (-30) Integers help plssss

Neko [114]

Answer: -12

Step-by-step explanation: To solve this problem, we can first start by rewriting the problem. When we add a negative, that's exactly the same thing as subtracting so we can make the problem easier to understand.

18 + (-30) → 18 - 30

To find the answer to this problem, let's first find out how many jumps it get's to 0 from 18. It would take 18 jumps and there is 12 jumps left over. Then, we would subtract 12 from 0 and we would get -12 as our answer. Therefore, 18 + (-30) = -12.

6 0

3 years ago

Read 2 more answers

What best describes how the parameter c is related to the period of the function?

ioda

Answer:

Is there a picture?

Step-by-step explanation:

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2 years ago

Mrs. Brown has 7 more boys than girls in her class and has a total of 29 students. Which of the following systems of equations c

BigorU [14]

Answer:

B = G + 7 and B + G = 29

Step-by-step explanation:

Let B = boys and G = girls. There are 7 more boys then girls. Set the equation:

B = G + 7

There are 29 students in total. Set the boys and girls equal to the total amount:

B + G = 29

B = G + 7 and B + G = 29 is your answer.

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2 years ago

Graph the inequality Graph 14x+5y=1000

Alexxandr [17]

Answer:

the graph is a linear

Step-by-step explanation:

14x +5y =1000

let X=0

14(0)+5y=1000

5y=1000

y=200

y(0;200)

let y =0

14y+5y=1000

14x+5(0)=1000

14x=1000

X=71.43

X(71.43;0)

5 0

3 years ago