A fitness trainer decided to track the combined weight loss of
several new customers. She recorded the combined weight loss
each month and kept track for 6 months. Identify the best
mathematical model with its corresponding R2 value and tell
whether it is a good model.
Month
1
2
3
4
5
6
Weight loss
175
120
95
63
44
30
4.
exponential model, 0.996
Yes, 0.996 is very close to 1.
quadratic model, 0.994
Yes, 0.994 is very close to 1.
quadratic model, 0.994
No, 0.994 is too high an R2 value.
exponential model, 0.996
No, 0.966 is too high an R2 value.

Answer:

Equilateral triangle

Step-by-step explanation:

All the angles are equal. So, it is and equilateral triangle and each angle is 60

Answer:

-5/4

Step-by-step explanation:

.......................

     The question gives us two points, (-6,-3) and (-2,-8), from which we can find the slope and later the equation of the line.

Finding the Slope  

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)      

                                          =  (-8 - (- 3)) ÷ (-2 - (-6))    

                                          =   - ⁵/₄

Checking my answer:  

Finding the Equation  

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:  

                                ⇒  y - (-3) =  - ⁵/₄(x - (-6))

                                        y + 3 =  - ⁵/₄ (x + 6)

To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that,

In triangle TPQ,

As it is given that, RS || PQ

So, it means

⇛∠TRS = ∠TPQ [ Corresponding angles ]

⇛ ∠TSR = ∠TPQ [ Corresponding angles ]

[tex]\rm\implies \: \triangle TPQ \: \sim \: \triangle TRS \: \: \: \: \: \: \{AA \}[/tex]

Now, We know

Area Ratio Theorem,

This theorem states that :- The ratio of the area of two similar triangles is equal to the ratio of the squares of corresponding sides.

[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{ar( \triangle \: TRS)} = \dfrac{ {PQ}^{2} }{ {RS}^{2} } [/tex]

[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{ {6}^{2} }{ {3}^{2} } [/tex]

[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = \dfrac{36 }{9} [/tex]

[tex]\rm\implies \:\dfrac{ar( \triangle \: TPQ)}{15} = 4 [/tex]

[tex]\rm\implies \:ar( \triangle \: TPQ) = 60 \: {cm}^{2} [/tex]

Answer:.

Step-by-step explanation:

Answer:

3 yards

Step-by-step explanation:

The area of a square is its length × width, where the length and width are the same:

length × width = 9

Since, the length and width are the same lets call them x

x × x = 9 → x² = 9

To find x, find the square root of 9:

x² = 9 → x = √9 → The square root of 9 is 3

Each side has a length of 3 yards

Answer:

1350min

Step-by-step explanation:

(600÷40)×3=45min for one item

45×30=1320 min for 30 items

Answer:

Step-by-step explanation:

If x=9, then x^2=81, because 9*9=81. -x^2=81, because -9*-9=81, and (-x)^2=81, because -9*-9=81.

If x=6, then x^2=36, because 6*6=36. -x^2=36, because -6*-6=36, and (-x)^2=36, because -6*-6=36.

Answer:

Keep in mind that x has a coefficient of 1.

x² = 9² = 81

-x² = - 1 · 9² = -1 · 81 = -81

(-x)² = (-9)² = 81

x² = -6² = -36

-x² = - 1 · -6² = -1 · 36 = -36

(-x)² = (-1 · -6)² = 36    

Step-by-step explanation:

2k - (3k - 3k) = 2k

please give me a brainliest answer

Answer:

2k

Step-by-step explanation:

Because all the values in our equation have the same variable, k, we can simply combine them.

We can begin with the first part of the equation:

2k - 3k

As you can see, we have to subtract, so 2 - 3 = -1, therefore, our answer right now is :

-1k, or -k

Now, we add on our other part of the equation:

-1k + 3k

We have to add now, so -1 + 3, which is the same as 3 - 1, equal 2. So, our most simplified form of this number sentence is:

2k

Hope this helps :)

Answer:

106 weeks

9 weeks

9 weeks

9 tires

Step-by-step explanation:

1 (322-4)÷3=106

She nees to save for 106 weeks

2 (32+3)÷4=8.75

She need to save 9 weeks becouse complite decimal

3 (32+4)÷3=9

she need to save for 9 weeks

4.(32-4)÷3=9.33

she can order 9 tires

Answer:

a)

2 sections

b)

9 sections

Step-by-step explanation:

a) there are total 8 boxes

so, for fraction 1/4

1/4 × 2/2 = 2/8

therefore shade 2 sections.

b) there are total 15 sections so to shade 3/5 of this shape

3/5×3/3 = 9/15

therefore , shade 9 sections.

hope this answer helps you dear...take care!

Answer:

30.7

Step-by-step explanation:

How much farther is Neptune from the Sun than Mars?

---Neptune is 30.7 astronomical unit(s) farther from the sun

Answer:

-i

Step-by-step explanation:

[tex]i^{2}[/tex]=-1,[tex]i^{3}[/tex]=[tex]i^{2}[/tex]*i=-i

Answer:

(x-2)(x-2) or (x-2)^2

Step-by-step explanation:

Hope this helps!

Answer:

60

Step-by-step explanation:

multiply length times width l x w

length is 10

width is 6

10 x 6 is 60

Step-by-step explanation:

The interior angles of a triangle add up to 180 degrees.

a.

90 + 2x + (3x - 20) = 180

90 + 2x + 3x - 20 = 180

70 + 5x = 180

5x = 110

x = 22

b.

2(22) = 44

c.

The interior angles of a triangle add up to 180 degrees.

please give me a brainliest answer

There is no image, and without the image, no answer.

Usually negative numbers are in parentheses so people don't think that it is subtraction.

The correct answer is the negative sign indicates that the number or term inside the parenthesis is multiplied by a negative sign.

When a negative number is placed within parentheses, it typically indicates that the negative sign applies to the entire number or expression inside the parentheses.

In other words, it's a way to ensure that the negative sign is associated with the value inside the parentheses rather than being treated as an operator.

For example:

(-3) means negative three, which is the same as 3 but with a negative sign.

-(5 + 2) means the negative of the sum of 5 and 2, which is -7.

-x means the negative of the variable x.

In mathematical expressions, using parentheses to enclose a negative number ensures clarity and avoids ambiguity in the interpretation of the expression.

Learn more about Parentheses here:

https://brainly.com/question/4637257

#SPJ3

(-3^3+2 · -2^2)^2-4^4

(-27+2 · -4)^2-4^4

(-27+(-8))^2-4^4

-35^2-4^4

1225-256

969

Answer:

6

Step-by-step explanation:

We can use the points on the line to find the slope

(0,-1) and (1,5)

Using the slope formula

m = ( y2-y1)/(x2-x1)

   = (5 - -1)/(1-0)

   = (5+1)/(1-0)

    = 6/1

   = 6

Answer:

m = 6 units

Step-by-step explanation:

To get from point (0, -1) to point (1, 5) that are on the line we have to go up 6 units and 1 unit to the right

slope = rise /run = 6/ 1 = 6

Answer:

47 degrees

Step-by-step explanation:

The total angles of a triangle always equals 180. Therefore, just add the two angles together then subtract by 180 to get your answer:

180-83+50=47

Answer:

Exact Form: -⅚

Decimal Form: -0.83 repeating

This problem already gave us the slope and y-intercept, so all that's left to do is plug those two values into slope-intercept form.

Slope-Intercept Form: y = mx + b

---m is the slope

---b is the y-intercept

y = 8/3x + 5

Hope this helps!! :)

y = 8/3x + 5

hope this helps !! :)

Answer:

1 hour

Step-by-step explanation:

am i right

Answer:

a) Vertical.

Step-by-step explanation:

There is no value of ln x <= 0.

The asymptote ix x = 0 (that is the y-axis).

Answer:

-6,-6 because -7x-1 would be -6x

Step-by-step explanation:

[tex] \green{ \rule{50cm}{0.01cm}}[/tex]

[tex] \red{ \rule{50cm}{0.01cm}}[/tex]

[tex] \green{ \rule{50cm}{0.01cm}}[/tex]

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The value of x is :

[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]

let's solve ~

[tex] \green{ \rule{50cm}{0.01cm}}[/tex]

[tex] \red{ \rule{50cm}{0.01cm}}[/tex]

[tex] \green{ \rule{50cm}{0.01cm}}[/tex]

Step-by-step explanation:

Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion. Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.

Answer:

Distance travelled by skateboard is 1.5 miles.

Displacement is 1 mile.

Answer:

r+51 peppers

Step-by-step explanation:

Answer: an average resulting from the multiplication of each component by a factor reflecting its importance.

Step-by-step explanation:

Answer:

An average resulting from the multiplication of each component by a factor reflecting it's importance.

Step-by-step explanation:

Assuming only one is selectable. Only possible answer doesn't need much explanation I believe.