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3 years ago

Identify the percent of change as an increase or a decrease. 4/5 to 3/5

Mathematics

1 answer:

vovikov84 [41]3 years ago

6 0

Answer:

Decrease

Step-by-step explanation:

So, I encourage you to grab a calculator and see for yourself

Put in the function: 4/5 into a standard calculator. You will see that it will come out to .8

Put in the function: 3/5 into a standard calculator. You will see that it will come out to .6

.6 is less than .8, just as 3/5 is less than 4/5.

Another analogy that can be used is seeing the fraction as a real-life object.

Let's say that you make two pies. You cut the pie evenly into five slices. You set them on the table and leave them for whoever wants to eat them. You see that Pie 1 has two slices missing (3/5) and that Pie 2 has one slice missing. (4/5)

3 out of 5 slices are left of Pie 1.

4 out of 5 slices are left of Pie 2.

Pie 1 has less than Pie 2 does.

Hope this has helped!

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Write the standard form of the equation of the circle center (0,4) passes through the point (-2,-4)

ser-zykov [4K]

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

As we know, the standard form of circle is written in this way ~

$\qquad \sf x{}^{2} + y {}^{2} + 2gx + 2fy + c = 0$

where, the coordinates of centre is (-g , -f) and radius equals to :

$\qquad \sf \dashrightarrow \: \sqrt{g {}^{2} + {f}^{2} - c }$

Now, it's time to equate the coordinates of centre ~

$\qquad \sf( - g, - f) \: \: and \: \: (0,4)$

Here we get,

$\qquad \sf \dashrightarrow \: - g = 0$

$\qquad \sf \dashrightarrow \: g = 0$

and

$\qquad \sf \dashrightarrow \: - f = 4$

$\qquad \sf \dashrightarrow \: f = - 4$

Now, let's find the the Radius using distance formula on the given points, one of them is centre and other is point lying on circle, so distance between them is the radius.

$\qquad \sf \dashrightarrow \: r = \sqrt{( 0 - ( - 2)) {}^{2} + (4 - ( - 4)) {}^{2} }$

$\qquad \sf \dashrightarrow \: r = \sqrt{ (0 + 2) {}^{2} + (4 + 4) {}^{2} }$

$\qquad \sf \dashrightarrow \: r = \sqrt{ (2) {}^{2} + (8) {}^{2} }$

$\qquad \sf \dashrightarrow \: r = \sqrt{ 4+ 64 }$

$\qquad \sf \dashrightarrow \: r = \sqrt{ 68 }$

$\qquad \sf \dashrightarrow \: r = 2\sqrt{ 17 }$

Now, use the the following equation to find c of the standard equation

$\qquad \sf \dashrightarrow \: r = \sqrt{g {}^{2} + {f}^{2} - c}$

$\qquad \sf \dashrightarrow \: 2 \sqrt{17} = \sqrt{ {0}^{2} + {4}^{2} - c}$

squaring both sides :

$\qquad \sf \dashrightarrow \: 68 = {0}^{2} + {4}^{2} - c$

$\qquad \sf \dashrightarrow \: 68 = 8 - c$

$\qquad \sf \dashrightarrow \: - c = 68 - 8$

$\qquad \sf \dashrightarrow \: c = - 60$

Therefore, we got the standard equation of circle as ~

$\qquad \sf \dashrightarrow \: {x}^{2} + {y}^{2} + 2(0)x + 2( - 4)y + ( - 60) = 0$

$\qquad \sf \dashrightarrow \: {x}^{2} + {y}^{2} - 8y - 60 = 0$

I Hope it helps ~

6 0

2 years ago

In the set {(3,4), (4,4), (8,-1)} what is this not? *

Sloan [31]

Given:

The set is

$\{(3,4),(4,4),(8,-1)\}$

To find:

The correct option for the given set which represents the quality that is not in the given set.

Solution:

We have,

$\{(3,4),(4,4),(8,-1)\}$

It is the set of ordered pairs. So, it is a relation.

For each x-value there is a unique y-value value. So, it is a function.

All elements are real numbers but they not distinct and they are in ordered pairs. So, the given set is not a set of real numbers.

In one to one functions each image has exactly one preimage and each preimage has exactly one image.

In the given set 4 has two preimages 3 and 4. So, the given set is not a one to one function.

Therefore, the correct options are C and D.

8 0

3 years ago

the temperature at 6:00 a.m. was -11 degrees. At 3:00 pm the temperature was 43 degrees. What change took place? What was the av

Snowcat [4.5K]

The average change in temperature per hour was 6 degrees

Explanation- There are 9 hours between 6:00AM and 3:00PM.
As well as a increase of 54 degrees in those 9 hours.
54/9=6
:)

3 0

2 years ago

Read 2 more answers

Mr seeds travel 242 in 60 days at these rate who much it will travel in 40 days

Anvisha [2.4K]

Greetings! Hope this helps!

<u>Answer</u>

Mr. Seeds Travels 160 in 40 days.

<u>Explanation</u>

242/60 = 4 (about)

So he travels 4 every day

4 x 40 = 160