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1 year ago

6

Miss lead says that if y varies directly with x and y=15 when x=-3, then y=-20 when x=4. Is she correct? Answer in complete sent

ences and show work. (PLEASE ANSWER ASAP)

1 answer:

gizmo_the_mogwai [7]1 year ago

6 0

Answer:

Yes, she is correct.

Step-by-step explanation:

y = kx is direct variation

15 = k*-3

k = -5.

So the equation of variation is

y = -5x

When x = -4:

y -5*-4 = 20.

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Describe in words the region of R3 reperesented by the equations or inequalities y2+z2=16

Anastasy [175]

Answer:

It represents an infinite cylinder of radius 4.

Step-by-step explanation:

The first thing to notice is that

$y^2+z^2=4^2$

<u>represents a circle of radius 4</u>, with its center in the origin of a plane yz, of cartesians coordinates.

Starting from here, we have to put the coordinate x, for all values of x, to complete the space R³. <em>This will enlarge this circle we had on the plane, to infinity</em> (positive and negative on the x-axis).

Finally, we have that this region is a cylinder of radius 4, with center in y=0 and z=0, and of infinite length in the x coordinates.

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3 years ago

Jeremy is reading a 60-page book. He read the first 20 pages in 30 minutes. If Jeremy continues to read a the same rate, how lon

Alex73 [517]

It will take total 90 minutes to finish the book and 60 minutes to read the left 40 pages.

<h3>What is Ratio and Proportion ?</h3>

When two numbers can be written as p/q is called a Ratio , and when two ratios are equal they are said to be in proportion .

It is given that

Jeremy is reading a 60-page book.

The time taken to read 20 pages is 30 minutes

Then it can be written as 20:30 = 2:3

The rate of reading is same so To read the rest 40 pages is given by

40:x

40: x = 2:3

40*3/2 = x

x = 60 minutes

Therefore it will take total 90 minutes to finish the book and 60 minutes to read the left 40 pages.

To know more about Ratio and Proportion

brainly.com/question/26974513

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8 0

1 year ago

Arithmetic sequence

KonstantinChe [14]

Answer: Arithmetic Sequence

Step-by-step explanation:

An Arithmetic Sequence is a sequence where each term increases by adding/subtracting some constant k. This is in contrast to a geometric sequence where each term increases by dividing/multiplying some constant k.

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2 years ago

Anyone willing to help? Surprise included

AveGali [126]

Answer:

An arithmetic sequence has a constant difference between each term.

For example: 2,4,6,8,10,12,…

We can see clearly that all the terms differ by +2.

We call this the common difference, d.

A geometric sequence has a constant ratio (multiplier) between each term.

An example is: 2,4,8,16,32,…

So to find the next term in the sequence we would multiply the previous term by 2.

This is called the common ratio, r.

These sequences are closely related as they both have the same first term, but I hope you can see how different they become if they have a common difference or a common ratio.

We can create a decreasing arithmetic sequence by choosing a negative common difference.

Similarly, a decreasing geometric sequence would have a common ratio of less than 1.

Step-by-step explanation:

4 0

2 years ago

Multiply (25xy^3)(4xy)(x^2y^2)=

Inessa05 [86]

Answer:

$100x^{4}y^{6}$

Step-by-step explanation:

$(25xy^{3} )(4xy)(x^{2}y^{2})$

Remove parenthesis:

$25xy^{3}*4xyx^{2}y^{2}$

Separate the constants:

$(25*4)xxx^{2}y^{3}yy^{2}$

Simplify:

$100x^{1+1+2}y^{3+1+2}$

$100x^{4}y^{6}$

6 0

2 years ago