Which temperature during the week is the closest to 0? Explain how you decided this using absolute value.





Which temperature during the week is farthest from 0? Explain how you decided this using absolute value.





Which is the coldest temperature? Explain how you determined this using the number line.





Which is the warmest temperature? Explain how you determined this using the number line.





Part 2: Weather Report

Use the information from the analysis and develop a weather report. You can develop a flyer or make a presentation, video or audio recording of yourself, or script. Use your creativity! Make sure to include the information from all six questions.

Answer:

-f(3x - 1) + 2 = -18x² + 12x + 1

Step-by-step explanation:

Step 1: Find f(3x - 1)

f(3x - 1) = 2(3x - 1)² - 1

f(3x - 1) = 2(9x² - 6x + 1) - 1

f(3x - 1) = 18x² - 12x + 2 - 1

f(3x - 1) = 18x² - 12x + 1

Step 2: Plug in f(3x - 1)

-(18x² - 12x + 1) + 2

Step 3: Evaluate

-18x² + 12x - 1 + 2

-f(3x - 1) + 2 = -18x² + 12x + 1

Answer:

The level of accuracy of the measurement ruler measurement tool is 1/16 of an inch

Step-by-step explanation:

The accuracy of a measurement tool is determined by the ability of the tool measure the accurate value of the  actual or standard measurement. The accuracy of a measurement tool depends on its ability to take small measurements

The parameter given includes;

The number of divisions on each 1/2 inch of the ruler = 8

Therefore, the smallest divisions on the ruler = (1/2) inch ÷ 8 = 1/16 inch

Therefore, the level of accuracy of the measurement ruler measurement tool = 1/16 of an inch.

Problem 1.

My thinking is that the furthest you can get is have two points at each opposite corner, so the distance between them is sqrt(2). If we have two other points with this property, then all four corners are filled up. It is possible to pick two points where the distance is 1 unit.

Then a fifth point can be placed at the center such that the distance from it to any of the corners is sqrt(2)/2. We placed the fifth point at the center to try to get as far away as possible from the other four points.

Basically we're trying to find the worst case scenario (leading to the largest distance possible) and seeing how we can fill up the square. This establishes the upper bound. Any other kind of scenario will have a distance less than the upper bound.

===================================================

Problem 2.

For this one, I'm not sure what to make of it. The terminology is a bit strange so I'm not going to be fairly helpful here. Sorry about that.

If I had to guess, I'd assume it has something to do with the fact that a plane is uniquely defined by 3 points. That fourth point is not coplanar with the other three, which helps define the semi-spherical portion. The fifth point is just extra. The points can't be all collinear or else a plane won't form. Though to be honest, I'm still not sure about problem 2. I'd get a second opinion.

Answer: I dont know if this is right but the is 8 Ive never done this before.

Step-by-step explanation:

1 =

4 =

1 =

4 =

r− 5 ⋅ 2 = 1 = r = 11

8 = r = 11

Answer:

Look Below In the Explanation

Step-by-step explanation:

Point P has coordinates of (4,4) and point Q has coordinates of (4,-4).

Since both points have the same x-coordinates we can subtract point Q's y-coordinate from point P's y-coordinate.

I will set the equation up and try and figure this part by yourself. I hope you learned what to do from previous questions that are very similar to this that I answered.

4 - ( -4) = length of the bed of flowers

Hope that helps and maybe earns a brainliest!

Have a splendid day! :^)

The length of the bed of flowers will be 8 units.

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

Clara wants to plant a bed of flowers between the points P and Q.

And, The value of P = (4, 4)

And, The value of Q = (4, - 4)

Now,

Since, Clara wants to plant a bed of flowers between the points P and Q.

And, The value of P = (4, 4)

And, The value of Q = (4, - 4)

Hence, The length of the bed of flowers will be;

PQ = √ (- 4 - 4)² + (4 - 4)²

PQ = √64

PQ = 8 units

Thus, The length of the bed of flowers will be 8 units.

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Answer:

480 in3

Step-by-step explanation:

10 * 8 * 5 + ( 4 * 4 * 5 ) = 480in3

Answer:

480 in^3

Step-by-step explanation:

The first, smaller container where I split it has an equation of V= 4*4*6=80 in^3 and the second, larger container has an equation of V= 5*10*8= 400 in^3

80+400= 480 in^3

Answer:

The legnth of side AB would be 3 units

Step-by-step explanation:

First, you would determine that both point A and point B would have the same y-coordinate of 1.   Then you would determine the difference between the x values of points A and B.  Since 5 (the x-value for B) minus 2 (the x-value for A) is 3, the legnth of side AB would be 3 units.

Answer:

Boys = 114

Girls = 145

Step-by-step explanation:

Boys = b

Girls = 2b-83

b+2b-83=259

3b=259+83

3b=342

b=114

Boys = b = 114

Girls = 2b-83=228-83=145

The number of boys is 114 and the number of girls is 145

The given expression in algebraic form is written as:

let the number of boys = b

then, the number of girls, g = 2b - 83

given total number of students, t = 259

To find:

Set the following equations to find the number of boys and girls:

number of boys + number of girls = total number of students

[tex]b + g = 259\\\\b + 2b -83 = 259\\\\3b = 259+83\\\\3b = 342\\\\b = \frac{342}{3} \\\\b = 114\\\\The \ number \ of \ girls = 2(114) - 83 = 145[/tex]

Thus, the number of boys is 114 and the number of girls is 145

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Answer:

Solution: (-4,-3)

Step-by-step explanation:

We need to complete the solution set of given graph.

We are given two graph one straight line and one parabola. We can see in graph both intersect at two points.

At x=-4 and x=-1

We can easily find the value of y corresponding to the value of x using given graph.

At x=-4,

First we draw a vertical line at x=-4 and see where it cut graph. From that point draw a horizontal line and see where y-axis cut.

The value of at x=-4 would be -3

Please see the attachment and see the vertical and horizontal line.

Thus, The Solution is (-4,-3)

Answer:

24.6 % decrease

Step-by-step explanation:

Let x be the original temperature

Increase by 25%

x + .25x

1.25x

Decrease by 40%

The amount decreased is

(1.25x) *.40

.496x

Subtract that from 1.25x

1.25x - .496x

.754x

We need to find the percent decrease

1 - .754 = .246

24.6 % decrease

Answer:

Temperature decreased by 25%

Step-by-step explanation:

Let initial temperature be t

Step 1

Increase by 25%:

Step 2

Decrease by 40%:

Temperature changed from t to 0.75 t

The difference in %:

Temperature decreased by 25%

Answer:

So.. I believe the answer is 17

Step-by-step explanation:

In order to get your answer, you would first multiply 38*12 which is 456

Then you would get that number (456) and divide it by 7,752

So 7,752/456 is 17

Answer: No

Step-by-step explanation:

Because 4^2=16

5^2=25

25+16=41

41 squared =6.4031.....

6.4031 does not = 20

Answer: No, a triangle is not possible

The two smaller sides add to 4+5 = 9 which is not larger than 20. For a triangle to be possible, we need to be able to add 2 sides to make them longer than the third side. This is an application of the triangle inequality theorem.

C : 35

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Answer:

200 ft

Step-by-step explanation:

Since the road is 400 ft, the midpoint of the road is 200 ft from each end of the road.

Answer:

0, 5, 9

Step-by-step explanation:

g(x) = 2x (x - 5)^2(x – 9) = 0

x = 0 or x - 5 = 0 or x - 9 = 0

x = 0 or x = 5 or x = 9

Answer:

1) 4^3

2) x^6 + 2

Step-by-step explanation:

1) 4 is the main number.

Then, however many fours there are is the exponent

( there are 3 fours )

2) x is the main variable

Then however many x's there are, that number will be your exponent

( there are 6 x's )

Answer:

Step-by-step explanation:

1) 4 ∙ 4 ∙ 4 is equivalent to 4^3:  4 is the base and 3 is the final exponent of this base.

2)  x ∙ x ∙ x ∙ x ∙ x ∙ x + 2 * needs clarification.  What do you mean by "  2 * ?"

x ∙ x ∙ x ∙ x ∙ x ∙ x + 2 *  could be rewritten as x ∙ x ∙ x ∙ x ∙ x ∙ x      +      2, which is equivalent to x^6 + 2.  If you're still interested in solving this problem, please double check to ensure that you have copied it down correctly.  Thank you.

Answer:

A True

Step-by-step explanation:

B vertices would be the top of an isosceles

As any equal sides can form an isosceles, the measure of the base could be any size and isnt relevant to the triangle unless we are looking for a calculation for its height, which does not determine shape only equation.

Therefore with sides of triangles if they are equal we cna make the shape consist of any length base as long as it measures less than double than either side length.

Therefore a 1cm base does apply and can form a triangle of two equal sides 7cm and 7cm as the diagram asks.

Answer:

true

Step-by-step explanation:

THE reason it true is because on on the lines doesn't equal to the 2 other lines

Answer:

256 in²

Step-by-step explanation:

Answer:

256 inches squared

Step-by-step explanation:

You find the area of all of the area on the sides and then add them

Answer:

x = -46.5

x + 1 = -45.5

Step-by-step explanation:

x + x + 1 = -92

2x + 1 = -92

      -1       -1

------------------

   2x = -93

   ----     ----

    2        2

   x = -46.5

x + 1

(-46.5) + 1

-45.5

Answer:

No solution

Step-by-step explanation:

We can set up an equation where x is the integer and x+1 is the next one

x+x+1=-92

2x+1=-92

2x/2=-93/2

x=-46.5

-46.5+1=-45.5

The problem is that integers do no include decimals so there is no possible whole number. This problem would be possible if it was consecutive odd integers.

Answer:

24

Step-by-step explanation:

Answer:

248

Step-by-step explanation:

Answer:

The inequality shown is p>-3

Explanation:

An open hole on the number line means that the inequality will be greater or less than a number. So far we have p <or> some number.

Since the line goes to the left then we know that p is greater than some number. Now we have, p> some number.

The inequality starts at -3 so we know that the equation must be p>-3.

The inequality shown is in the given number line will be p>-3.

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

An open hole on the number line refers to that the inequality will be greater or less than a number.

So far we have p <or> some number.

Since the line goes to the left then we know that p is greater than few number on the line.

Now we have, p> some number.

Thus, The inequality starts at -3, so we know that the equation must be p>-3.

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Answer:

4x10⁷is more than 4x10¹⁰

Answer:

In 7, seven kids checked out 7. [tex]7*7=49[/tex] (Correct answer because 49 is the biggest number here)

In 1, only two kids checked out 1. [tex]1 *2=2[/tex] (Wrong answer because 2 is lower than 49)

In 4, only eight kids checked out 4. [tex]4*8=32[/tex] (Wrong answer because 32 is lower than 49)

In 12, only two kids checked out 12. [tex]12*2=24[/tex] (Wrong answer because 24 is lower than 49)

So 7 is the correct answer because [tex]7*7=49[/tex] is the greatest equation here.

The 0 and 11 number book is the typical book one student checked out.

Given, the dot plot shows the no. of book  each student checked out from the library last month.

Since each dot represent a different student, so clearly from the dot plot the 8 number book is checked out by the most of the students because it has most of the dots.

Since the number 0 and 11 has only one dot it represent that only 1 student checked out these books last month.

Hence the 0 and 11 number book is the typical book one student checked out.

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Answer:5,3,7

2,4,9

3,6,4

Step-by-step explanation:he determinant of a 2 x 2 matrix A,

EVALUATING A 2 X 2 DETERMINANT,

DETERMINANT OF A 3 X 3 MATRIXFINDING THE DETERMINANT OF' A MATRIX,

FINDING THE COFACTOR OF AN ELEMENT,                                          ,EVALUATING A 3 X 3 DETERMINAN,

EVALUATING A 4 X 4 DETERMINANT

voila

Answer: The answer is 15. You can use the calculator in Edge2020

Step-by-step explanation:

Edg2020

Answer:

Given : Sherelle and Venita’s grandmother said that one of the bags has a coin from 1916

To find : What reasons might sherelle give for saying that the 1916 coin is most likely in her bag?

What reasons might venita give for saying that the 1916 coin is most likely in her bag?

Solution:

Sherelle: 72, 56, 81, 84, 75, 26, 39, 62, 65, 66, 85, 71, 74, 68, 73, 66, 83, 60, 58, 72

arranging in order

26, 39,  56, 58, 60, 62, 65, 66, 66, 68, 71, 72, 72 , 73, 74, 75, 81, 83, 84, 85  

Median = (68 + 71)/2 = 69.5

Q1 = 61

Q3 = 74.5

IQR = 13.5

Sherelle claims  that she has 26  which is closer to 16 hence her chances are more.

Venita: 45, 65, 73, 57, 79, 66, 69, 75, 51, 44, 53, 69, 58, 77, 51, 55, 53, 78, 70, 62

arranging in order

44, 45, 51, 51, 53, 53, 55, 57, 58, 62 ,65, 66, 69, 69, 70, 73, 75, 77, 78, 79

Median =  63.5

Q1 = 53

Q3 = 71.5

IQR = 18.5

IQR of Venita is High

so there are more chances that Sherelle will be having higher spread hence chances of having 16 in data Set is More

If Sherelle remembers seeing an old coin in her bag earlier, then her bag would be more likely to have the 1916 coin.

It is a branch of mathematics that deals with the occurrence of a random event.

Sherelle might say that she remembers seeing an old coin in her bag earlier and that she rarely removes things from her bag.

She might also argue that she has not used her bag as frequently as Venita, so the coin is more likely to be in her bag.

Venita might argue that she has used her bag more frequently than Sherelle, so the coin is more likely to be in her bag.

She might also say that she has checked her bag multiple times and has not seen the coin, so it must be in Sherelle's bag.

if Sherelle remembers seeing an old coin in her bag earlier, then her bag would be more likely to have the 1916 coin.

On the other hand, if the coin was recently added to one of the bags, then Venita's bag could also be a likely candidate.

Hence, if Sherelle remembers seeing an old coin in her bag earlier, then her bag would be more likely to have the 1916 coin.

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Answer:

[tex] \frac{3x}{3 - 2x} [/tex]

Step-by-step explanation:

Here,

f(x) = y

[tex]y = \frac{3x}{2x + 3} [/tex]

or , swapping x with y

[tex]x = \frac{3y}{2y + 3} [/tex]

now to solve for y we get

[tex]y = \frac{3x}{3 - 2x} [/tex]

now we put f inverse x instead of y

[tex] {f}^{ - 1} (x) = \frac{3x}{3 - 2x} [/tex]

I am done.

Answer:

3x^2 +x -3

Step-by-step explanation:

f(x)= 3 and g(x) = 3x^2+x-6

f+g (x) =  3+  3x^2+x-6

Combine like terms

          = 3x^2 +x -3